============================== Prover9 =============================== Prover9 (64) version 2017-09A, September 2017. Process 30867 was started by veroff on leda, Fri Aug 21 22:48:07 2020 The command was "prover9 -f aK2_eq_aK3_i.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file aK2_eq_aK3_i.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 = u & x * z = u -> y = z. y * x = u & z * x = u -> y = z. x * y = x * z -> y = z. y * x = z * x -> y = z. x != y | z * x = z * y. x != y | x * z = y * z. (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). (x * y) \ (y * x) = K(y,x) # label("commutator"). (y * x) \ (y * (x * u)) = L(u,x,y). ((u * x) * y) / (x * y) = R(u,x,y). x \ (u * x) = T(u,x). a(x,y,z) = 1 -> L(z,y,x) = z. L(x,y,z) = x -> a(z,y,x) = 1. T(x,y) = x -> T(y,x) = y. T(x,y) = x -> K(x,y) = 1. K(x,y) = 1 -> T(x,y) = x. T(T(u,x),y) = T(T(u,y),x). T(L(u,x,y),z) = L(T(u,z),x,y). T(R(u,x,y),z) = R(T(u,z),x,y). L(R(u,x,y),z,w) = R(L(u,z,w),x,y). L(L(u,x,y),z,w) = L(L(u,z,w),x,y). R(R(u,x,y),z,w) = R(R(u,z,w),x,y). T(T(x,y),y) = x # label("imord2 T"). end_of_list. formulas(goals). a(x,K(y,z),u) = a(y,u,K(z,x)) # label("aK2_eq_aK3"). end_of_list. formulas(hints). a(x,K(y,z),u) = a(y,u,K(z,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 * u != z | u = y. x * y != z | u * y != z | u = x. x * y != x * z | y = z. x * y != z * y | x = z. x != y | z * x = z * y. x != y | x * z = y * z. (x * (y * z)) \ ((x * y) * z) = a(x,y,z). a(x,y,z) = (x * (y * z)) \ ((x * y) * z). (x * y) \ (y * x) = K(y,x). K(x,y) = (y * x) \ (x * y). (x * y) \ (x * (y * z)) = L(z,y,x). L(x,y,z) = (z * y) \ (z * (y * x)). ((x * y) * z) / (y * z) = R(x,y,z). R(x,y,z) = ((x * y) * z) / (y * z). x \ (y * x) = T(y,x). T(x,y) = y \ (x * y). a(x,y,z) != 1 | L(z,y,x) = z. L(x,y,z) != x | a(z,y,x) = 1. T(x,y) != x | T(y,x) = y. T(x,y) != x | K(x,y) = 1. K(x,y) != 1 | T(x,y) = x. T(T(x,y),z) = T(T(x,z),y). T(L(x,y,z),u) = L(T(x,u),y,z). L(T(x,y),z,u) = T(L(x,z,u),y). T(R(x,y,z),u) = R(T(x,u),y,z). R(T(x,y),z,u) = T(R(x,z,u),y). L(R(x,y,z),u,w) = R(L(x,u,w),y,z). R(L(x,y,z),u,w) = L(R(x,u,w),y,z). L(L(x,y,z),u,w) = L(L(x,u,w),y,z). R(R(x,y,z),u,w) = R(R(x,u,w),y,z). T(T(x,y),y) = x. a(c2,c4,K(c3,c1)) != a(c1,K(c2,c3),c4). (1 * x) * 1 = x. 1 \ x = x. x \ x = 1. x \ (x * (y \ (y * z))) = z. (x * (x \ 1)) * y = y. x * (y * (y \ 1)) = x. x * (y * (y \ (x \ z))) = z. x / 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 | 1 * z != y | z = x. x != y | x * z != y | z = 1. x != y | x * z != y | 1 = z. x != y | z * u != y | u = z \ x. x != y | z * u != y | z \ x = u. x != y | z * u != y | z = x / u. x != y | z * u != y | x / u = z. x != 1 * y | x = y. 1 * x != y | y = x. 1 * x != y | x = y. x * y != (x * z) * 1 | y = z. (x * y) * 1 != x * z | z = y. x != y * z | y \ x = z. x * y != z | x \ z = y. x != y * 1 | x = y. x * 1 != y | y = x. x * 1 != y | x = y. x * y != z \ (z * (u * y)) | x = u. x \ (x * (y * z)) != u * z | u = y. x * (y \ z) != z | x = y. x != y * z | x / z = y. x * y != z | z / y = x. x * (y * (y \ z)) = x * z. ((x / y) * y) * z = x * z. (x * (x \ y)) * z = y * z. (x * (y * z)) * a(x,y,z) = (x * y) * z. a(x,x \ y,z) = (x * ((x \ y) * z)) \ (y * z). (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). (x * y) * K(y,x) = y * x. K(x \ y,x) = y \ ((x \ y) * x). x \ ((y \ x) * y) = K(y \ x,y). K(x,x \ y) = ((x \ y) * x) \ y. ((x \ y) * x) \ y = K(x,x \ y). K(x,y / x) = y \ (x * (y / x)). x \ (y * (x / y)) = K(y,x / y). K(x / y,y) = (y * (x / y)) \ x. (x * (y / x)) \ y = K(y / x,x). L(x,1,y) = (y * 1) \ (y * x). (x * 1) \ (x * y) = L(y,1,x). L(1,x,y) = (y * x) \ (y * x). (x * y) \ (x * y) = L(1,y,x). (x * y) * L(z,y,x) = x * (y * z). L(x,y \ z,y) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,y). L(x \ y,x,z) = (z * x) \ (z * y). L(x,y / x,z) = (z * (y / x)) \ (z * y). R(1,x,y) = (x * y) / (x * y). (x * y) / (x * y) = R(1,x,y). R(x,1,y) = ((x * 1) * y) / y. ((x * 1) * y) / y = R(x,1,y). R(x,y,1) = (x * y) / (y * 1). (x * y) / (y * 1) = R(x,y,1). R(x,x \ y,z) = (y * z) / ((x \ y) * z). R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). R(x,y,z) * (y * z) = (x * y) * z. R(x / y,y,z) = (x * z) / (y * z). R(x,y / z,z) = ((x * (y / z)) * z) / y. ((x * (y / z)) * z) / y = R(x,y / z,z). T(x,x) = x. x * T(y,x) = y * x. T(x,x \ y) = (x \ y) \ y. T(x / y,y) = y \ x. T(T(T(x,y),z),u) = T(T(T(x,z),u),y). T(T(T(x,y),z),u) = T(T(T(x,u),y),z). T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y). T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). T(x,y) = T(T(T(x,z),y),z). T(T(T(x,y),z),y) = T(x,z). x = 1 \ (x * 1). 1 \ (x * 1) = x. (x * (x \ 1)) \ y = y. ((1 / x) * x) \ y = y. x / ((1 / y) * y) = x. T(x,y) = T(T(x,y),x). T(T(x,y),x) = T(x,y). L(x,y,z) = T(L(x,y,z),x). T(L(x,y,z),x) = L(x,y,z). x * y != z | x = z / y. 1 * x = x / 1. x / 1 = 1 * x. (x / (y \ x)) * z = y * z. ((x * y) * z) / a(x,y,z) = x * (y * z). (x * (y * z)) / L(z,y,x) = x * y. (x * y) / T(x,y) = y. x / (y / ((z \ x) \ y)) = z. ((x / y) \ x) * z = y * z. x * ((y / (x \ z)) \ y) = z. R(x,y,z) \ ((x * y) * z) = y * z. ((x / (y / z)) \ x) \ y = z. T(x,1) = x. 1 \ x = 1 * x. K(x,1) = 1. T(1,x) = 1. T(x,y \ y) = x. K(1,x) = 1. 1 \ x != y | y = x. ((1 / x) * x) * y != z | y = z. K(x,1) * y != z | y = z. x / 1 != y | x = y. 1 \ x != y | x = y. x * (y * (y \ 1)) != z | z = x. x * (y \ y) != z | x = z. (x * (x \ 1)) \ y != z | z = y. ((1 / x) * x) \ y != z | z = y. R(x,x \ 1,y) = y / ((x \ 1) * y). a(x,y,y \ 1) = x \ ((x * y) * (y \ 1)). x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). L(x \ 1,x,y) = (y * x) \ y. R(1 / x,x,y) = y / (x * y). a(x,1 / y,y) = x \ ((x * (1 / y)) * y). x \ ((x * (1 / y)) * y) = a(x,1 / y,y). L(x,1 / x,y) = (y * (1 / x)) \ y. x * y != ((x * z) / u) * u | y = z. T((x * y) / x,x) = y. x = (y * T(x,y)) / y. (x * T(y,x)) / x = y. x * y != z | y = x \ z. x = y \ (x * T(y,x)). x \ (y * T(x,y)) = y. (x \ y) * T(x,x \ y) = y. x * T(y / x,x) = y. x * y != z | y * u != z | u = T(x,y). x * y != z | y * u != z | T(x,y) = u. x * y != y * z | T(x,y) = z. x * y != z * x | T(z,x) = y. x * y != y * T(z,y) | x = z. x * T(y,x) != z * x | z = y. a(x,y,T(z,y)) = (x * (z * y)) \ ((x * y) * T(z,y)). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). a(x,T(y,x),z) = (x * (T(y,x) * z)) \ ((y * x) * z). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). K(T(x,y),y) = (x * y) \ (T(x,y) * y). (x * y) \ (T(x,y) * y) = K(T(x,y),y). L(x,T(y,z),z) = (y * z) \ (z * (T(y,z) * x)). (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). L(T(x,y),y,z) = (z * y) \ (z * (x * y)). (x * y) \ (x * (z * y)) = L(T(z,y),y,x). R(x,T(y,x),z) = ((y * x) * z) / (T(y,x) * z). ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). 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 = T(y,x) * x. T(x,y) * y = y * x. T(x \ y,z) = T(T(y / x,z),x). T(T(x / y,z),y) = T(y \ x,z). L(x \ y,z,u) = T(L(y / x,z,u),x). T(L(x / y,z,u),y) = L(y \ x,z,u). R(x \ y,z,u) = T(R(y / x,z,u),x). T(R(x / y,z,u),y) = R(y \ x,z,u). T(x \ y,x) = y / x. T(x / (x / y),x / y) = y. K(x \ 1,x) = (x \ 1) * x. L(x,y \ 1,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x \ 1,x). a(1 / (x * y),x,y) = ((1 / (x * y)) * x) * y. ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). K(x,1 / x) = x * (1 / x). L(x,y,1 / y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,1 / x). R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). T(x,T(x,y)) = x. T(T(x,y),z) = T(T(T(x,y),z),x). T(T(T(x,y),z),x) = T(T(x,y),z). x * T(x,y) = T(x,y) * x. T(x,y) * x = x * T(x,y). x / T(y,y \ x) = y \ x. (T(x,y) * z) / T(T(x,z),y) = z. (x * y) / T(y,T(x,y)) = T(x,y). T(x,y) = T(T((z * x) / z,y),z). T(T((x * y) / x,z),x) = T(y,z). T(x,y) = (y * x) / y. T((x * y) / x,y) = (x * y) / x. (x * T(T(y,x),z)) / x = T(y,z). x * y != z * x | T(y,x) = z. T(T(x,y),z) * y = y * T(x,z). L(T(x,y),z,u) * y = y * L(x,z,u). R(T(x,y),z,u) * y = y * R(x,z,u). x * T(y,x) = T(x,y) * y. T(x,y) * y = x * T(y,x). (x \ y) * x = x * (y / x). x * y = y * ((y * x) / y). x * ((x * y) / x) = y * x. T(x,T(y,x)) * T(y,x) = x * y. T(a(x,y,z),x * (y * z)) = ((x * y) * z) / (x * (y * z)). ((x * y) * z) / (x * (y * z)) = T(a(x,y,z),x * (y * z)). x \ x != y | 1 = y. L(x \ (y \ z),x,y) = (y * x) \ z. x != y | z != y | z = x. x != y | x = (z / y) \ z. x * (x \ y) = (z / y) \ z. (x / y) \ x = z * (z \ y). x != y | x = z / (y \ z). x * (x \ y) = z / (y \ z). x / (y \ x) = z * (z \ y). x != y | x = (y / z) * z. (x * y) / y = (x / z) * z. x * 1 = (x / y) * y. (x / y) * y = x * 1. x != y | x = z * (z \ y). x \ (x * y) = z * (z \ y). x * 1 = y * (y \ x). x * (x \ y) = y * 1. x * 1 != y * z | x / z = y. (x / y) * y != z | z = x. x \ (y * (y \ x)) = 1. x * 1 != y * z | y \ x = z. x * (x \ y) != z | z = 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 * (y \ 1)) != z | z = x. x / ((1 / y) * y) != z | z = x. x * T(y,x) != z | z = y * x. x * T(y,x) != z | y * x = z. x * y != z | z = y * T(x,y). x * y != z | y * T(x,y) = z. T(x,y) * y != z | z = y * x. T(x,y) * y != z | y * x = z. (x * y) * L(z,y,x) != u | u = x * (y * z). (x * y) * L(z,y,x) != u | x * (y * z) = u. (x / (y * (y \ z))) * z = x. x * y != z * y | x = (z / u) * u. x * y != z * y | (z / u) * u = x. x != (y * (y \ z)) * u | x = z * u. (x \ y) * x = y * K(x \ y,x). x * K(y \ x,y) = (y \ x) * y. x != ((y / z) * z) * u | x = y * u. x * (y / x) = y * K(x,y / x). x * K(y,x / y) = y * (x / y). x * y != (y * x) * z | K(x,y) = z. (x * y) * z != y * x | K(y,x) = z. L(x,K(y,z),z * y) = (y * z) \ ((z * y) * (K(y,z) * x)). (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). L(K(x,y),y * x,z) = (z * (y * x)) \ (z * (x * y)). (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). R(x,y,K(y,x)) = (y * x) / (y * K(y,x)). (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). T(x,x \ y) * z = ((x \ y) \ y) * z. x * T(y,y \ z) = x * ((y \ z) \ z). (x \ y) \ y = z * (z \ T(x,x \ y)). T((x \ y) \ y,z) = T(T(x,z),x \ y). T(T(x,y),x \ z) = T((x \ z) \ z,y). L((x \ y) \ y,z,u) = T(L(x,z,u),x \ y). T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). T(x / y,(x / y) \ x) = y \ x. T(x,L(x,y,z)) = x. x * (((y / x) \ y) \ z) = z. x != y * (y \ z) | x = z. ((x / y) \ x) * (y \ z) = z. ((x / y) \ x) * z != u | y \ u = z. (x / y) * ((z / y) \ z) = x. x != (y \ x) * z | T(y,y \ x) = z. (x \ y) * z != y | T(x,x \ y) = z. L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). T(x / (x / y),(z / (x / y)) \ z) = y. x != y * z | x = z * T(y,z). K(x \ 1,x) = x * T(x \ 1,x). x * T(x \ 1,x) = K(x \ 1,x). (x \ 1) \ K(x \ 1,x) = x. a(x,y \ 1,y) = (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y). (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). R(x \ 1,x,y) = (K(x \ 1,x) * y) / (x * y). (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). T(x \ 1,x) = x \ K(x \ 1,x). x \ K(x \ 1,x) = T(x \ 1,x). L(x,1 / y,y) = K(y,1 / y) \ (y * ((1 / y) * x)). K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). T(x,y) * y != x * z | T(y,x) = z. T(x,x \ y) * (x \ y) = x * (y / x). T(x,y) * y = x * ((x * y) / x). (x / y) \ x != z | z = y. x \ (x * y) != z | z = y. x \ (y * x) != z | z = T(y,x). x \ (y * x) != z | T(y,x) = z. x \ (y * T(x,y)) != z | z = y. T((x * y) / x,x) != z | z = y. (x * y) \ (y * x) != z | z = K(y,x). (x * y) \ (y * x) != z | K(y,x) = z. x / (y \ x) != z | z = y. (x * y) / y != z | z = x. (x * (y * z)) / L(z,y,x) != u | u = x * y. (x * (y * z)) / L(z,y,x) != u | x * y = u. (x * y) / T(x,y) != z | z = y. x / x != y | y = 1. x / x != y | 1 = y. (x * y) / x != z | z = T(y,x). (x * y) / x != z | T(y,x) = z. (x * y) / y != z * u | x / u = z. ((x / y) * y) * z != u | u = x * z. ((x / y) * y) * z != u | x * z = u. x \ (x * y) != z * u | z \ y = u. x * (y * (y \ z)) != u | u = x * z. x * (y * (y \ z)) != u | x * z = u. R(x,y,y \ z) * z = (x * y) * (y \ z). ((x \ y) \ y) * (T(x,x \ y) \ z) = z. x != y * ((z / u) \ z) | x / u = y. x * ((y / z) \ y) != u | u / z = x. (x / T(y,y \ z)) * ((y \ z) \ z) = x. (x \ 1) * x != y | y = K(x \ 1,x). (x \ 1) * x != y | K(x \ 1,x) = y. x * 1 != 1 * y | y = x. 1 * x != y * 1 | x = y. x * y != x * z | z = y. 1 * x != y | x = 1 * y. 1 * x != y | 1 * y = x. x != y | 1 * y = x. x \ (x * y) = L(y,1,x). L(x,1,y) = x. L(x,1,y) != z | z = x. 1 = L(1,x,y). L(1,x,y) = 1. a(x,y,1) = 1. x * a(y,z,1) != u | x = u. 1 = R(1,x,y). R(1,x,y) = 1. (x * y) / y = R(x,1,y). R(x,1,y) = x. R(x,1,y) != z | z = x. (x * y) / y = R(x,y,1). R(x,y,1) = x. K(x \ 1,x) != y | y = (x \ 1) * x. K(x \ 1,x) != y | (x \ 1) * x = y. K(x,1 / x) != y | y = x * (1 / x). K(x,1 / x) != y | x * (1 / x) = y. L(x,y,1 / y) != z | z = (1 / y) * (y * x). L(x,y,1 / y) != z | (1 / y) * (y * x) = z. x != ((1 / y) * y) \ z | x = z. L(x \ 1,x,1 / x) = 1 / x. x * L(y \ 1,y,z) = x * ((z * y) \ z). (x * y) * L(y \ 1,y,x) = x. L((x \ y) \ 1,x \ y,x) = y \ x. L(x \ 1,x,y / x) = y \ (y / x). L(T(x \ 1,y),x,z) = T((z * x) \ z,y). T((x * y) \ x,z) = L(T(y \ 1,z),y,x). R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x). L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). x / L(y \ 1,y,x) = x * y. R(1 / x,x,y) * z = (y / (x * y)) * z. R(1 / x,x,x \ y) = (x \ y) / y. R(1 / (x / y),x / y,y) = y / x. R(T(1 / x,y),x,z) = T(z / (x * z),y). T(x / (y * x),z) = R(T(1 / y,z),y,x). R(x / (y * x),z,u) = R(R(1 / y,z,u),y,x). R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). R(1 / x,x,y) \ y = x * y. x * T(T(y,x),z) != u * x | u = T(y,z). x * T(T(y,x),z) != u * x | T(y,z) = u. x * y != z * T(y,x) | T(x,T(y,x)) = z. x * T(y,z) != z * y | T(z,T(y,z)) = x. (x / y) * y != z * u | x / u = z. x * (y * (y \ 1)) != z * u | z \ x = u. (x / y) * y != z * u | z \ x = u. x * (x \ y) != z * u | z \ y = u. R(x,y,y \ 1) = (x * y) * (y \ 1). (x * y) * (y \ 1) = R(x,y,y \ 1). 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 != z | x * (y / x) = z. T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. T(x / y,y) != z | z = y \ x. T(x / y,y) != z | y \ x = z. T(T(x,y),y) != z | z = x. T(T(T(x,y),z),y) != u | u = T(x,z). T(T(T(x,y),z),y) != u | T(x,z) = u. T(x \ y,x) != z | z = y / x. T(x \ y,x) != z | y / x = z. T(x,y) != z | z = (y * x) / y. T(x,y) != z | (y * x) / y = z. T(T(x,y),z) != u | u = T(T(x,z),y). T(T(x,y),z) != u | T(T(x,z),y) = u. x / y != z | T(y \ x,y) = z. L(T(x \ 1,y),x,1 / x) = T(1 / x,y). L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). (x * y) \ x != z | z = L(y \ 1,y,x). (x * y) \ x != z | L(y \ 1,y,x) = z. x / L(y,1 / y,x) = x * (1 / y). L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. R(x,x \ 1,y) \ y = (x \ 1) * y. x / (y * x) != z | z = R(1 / y,y,x). x / (y * x) != z | R(1 / y,y,x) = z. T(x,x \ y) != z | (x \ y) \ y = z. T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. x * y != (z * u) \ z | x \ L(u \ 1,u,z) = y. x \ L(y \ 1,y,z) = x \ ((z * y) \ z). x * y != (z \ u) \ u | x \ T(z,z \ u) = y. x \ T(y,y \ z) = x \ ((y \ z) \ z). x * y != (z * u) \ (z * (u * w)) | x \ L(w,u,z) = y. (1 / x) \ L(y,x,1 / x) = x * y. x \ L(y,x \ 1,x) = (x \ 1) * y. x * y != z * 1 | ((z / u) * u) / y = x. ((x / y) * y) / z = x / z. x * y != L(z \ 1,z,u) | ((u * z) \ u) / y = x. ((x * y) \ x) / L(y \ 1,y,x) = 1. (x * y) \ ((x \ (x * y)) * x) = K(y,x). K(x,y) = (y * x) \ ((y \ (y * x)) * y). x \ (y * T(y \ x,y)) = K(y \ x,y). K(x \ 1,x) \ 1 = K(x,x \ 1). x * T(x \ (y * x),z) = T(y,z) * x. x * T(x \ y,z) = T(y / x,z) * x. T(x / y,z) * y = y * T(y \ x,z). x * T(y,z) = T((x * y) / x,z) * x. T((x * y) / x,z) * x = x * T(y,z). (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). (x * T(x \ y,z)) / x = T(y / x,z). x * T(x \ y,z) != u | T(y / x,z) * x = u. T(x,T(T(x,y),z)) = x. K(x,T(T(x,y),z)) = 1. T((x * y) / x,T(y,z)) = (x * y) / x. (x * T(y,z)) / x = T((x * y) / x,z). ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). (x \ y) * x != y * z | K(x \ y,x) = z. L(K(x \ y,x),y,z) = (z * y) \ (z * ((x \ y) * x)). (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). x \ ((y \ x) * y) != z | z = K(y \ x,y). x \ ((y \ x) * y) != z | K(y \ x,y) = z. x \ (y * (x / y)) != z | z = K(y,x / y). x \ (y * (x / y)) != z | K(y,x / y) = z. T(x / y,y) * y = (x / y) * (x / (x / y)). 1 / K(x,x \ 1) = K(x \ 1,x). x \ (x * y) != z * u | z = y / u. x \ (x * y) != z * u | y / u = z. x * y != z * (u * (u \ w)) | (z * w) / y = x. (x * y) / L(z \ y,z,x) = x * z. x * y != z * (u * w) | x \ ((z * u) * L(w,u,z)) = y. x \ ((x * y) * L(z,y,x)) = y * z. x * ((x \ y) * z) = y * L(z,x \ y,x). x * L(y,z \ x,z) = z * ((z \ x) * y). (x / y) * (y * z) = x * L(z,y,x / y). x * L(y,z,x / z) = (x / z) * (z * y). x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x. (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). x * y != (z * u) * L(w,u,z) | x \ (z * (u * w)) = y. L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). x * (y * z) != (x * y) * u | L(z,y,x) = u. (x * y) * z != x * (y * u) | L(u,y,x) = z. (x * y) * L(z,y,x) != x * u | y * z = u. L(x,L(y,z,u),u * z) = (u * (z * y)) \ ((u * z) * (L(y,z,u) * x)). (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). L(L(x,y,z),z * y,u) = (u * (z * y)) \ (u * (z * (y * x))). (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). R(x,y,L(z,y,x)) = (x * (y * z)) / (y * L(z,y,x)). (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). (x * y) * L(z,x,T(y,x)) = T(y,x) * (x * z). (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). (x * y) \ (x * (y * z)) != u | u = L(z,y,x). (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. (1 / x) * (x * y) != z | L(y,x,1 / x) = z. x != y \ (z * T(y,z)) | x = z. L(x \ T(y * x,y),x,y) = y. L(x \ y,x,1 / x) = (1 / x) * y. x != (y * (y \ 1)) \ z | x = z. L((x \ 1) \ y,x \ 1,x) = x * y. x != y \ (z * (y / z)) | x = K(z,y / z). L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). L((x \ y) \ z,x \ y,x) = 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(T(x \ y,z),x,u) = T((u * x) \ (u * y),z). T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). L(x \ T(y,z),x,z) = (z * x) \ (y * z). L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). L((x \ 1) \ y,x \ 1,x) != z | z = x * y. L((x \ 1) \ y,x \ 1,x) != z | x * y = z. L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). x * y != (z * u) * w | (R(z,u,w) * (u * w)) / y = x. (R(x,y,z) * (y * z)) / z = x * y. x * y != (z * (z \ u)) * w | x \ (u * w) = y. R(x,x \ y,z) \ (y * z) = (x \ y) * z. x * y != ((z / u) * u) * w | x \ (z * w) = y. R(x / y,y,z) \ (x * z) = y * z. x * y != z * (u * (u \ 1)) | z / y = x. R(x,y,y \ 1) / (y \ 1) = x * y. x * y != z * (u * (u \ 1)) | x \ z = y. (x * y) \ R(x,y,y \ 1) = y \ 1. x * y != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y. (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). R(x,y / z,z) * y = (x * (y / z)) * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. K(x * y,R(z,x,y)) = ((z * x) * y) \ ((x * y) * R(z,x,y)). ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). R(R(x,y,z),y * z,u) = (((x * y) * z) * u) / ((y * z) * u). (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). R(x,R(y,z,u),z * u) = ((x * R(y,z,u)) * (z * u)) / ((y * z) * u). ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). ((x * y) * z) / (y * z) != u | u = R(x,y,z). ((x * y) * z) / (y * z) != u | R(x,y,z) = u. (R(x,y,z) * (y * z)) / z != u | u = x * y. (R(x,y,z) * (y * z)) / z != u | x * y = u. (x * y) * (y \ 1) != z | z = R(x,y,y \ 1). (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). x != ((y / z) * z) / u | x = y / u. R((x / y) / z,z,y) = x / (z * y). x != y / ((1 / z) * z) | x = y. R(x / (1 / y),1 / y,y) = x * y. R(x / y,y,y \ 1) = x * (y \ 1). R(x / y,y,x \ z) = z / (y * (x \ z)). R(x / y,y,y \ z) = (x * (y \ z)) / z. R(x / (y / z),y / z,z) = (x * z) / y. R(T(x / y,z),y,u) = T((x * u) / (y * u),z). T((x * y) / (z * y),u) = R(T(x / z,u),z,y). T(R(x / y,y,z),y * z) = (y * z) \ (x * z). R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). R(x / y,y,y \ 1) != z | z = x * (y \ 1). R(x / y,y,y \ 1) != z | x * (y \ 1) = z. R(x / (1 / y),1 / y,y) != z | z = x * y. R(x / (1 / y),1 / y,y) != z | x * y = z. R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). (x * y) / L(z,y / z,x) = x * (y / z). (x * (y * z)) / L(T(y,z),z,x) = x * z. R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. L(x,1 / x,x) = K(x,1 / x) \ x. K(x,1 / x) \ x = L(x,1 / x,x). x * y != L(L(z,u,w),v5,v6) | x \ L(L(z,v5,v6),u,w) = y. x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). x * y != L(T(z,u),w,v5) | x \ T(L(z,w,v5),u) = y. x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). (1 / x) * (y * x) = L(T(y,x),x,1 / x). L(T(x,y),y,1 / y) = (1 / y) * (x * y). (1 / x) \ L(y,x,1 / x) != z | z = x * y. (1 / x) \ L(y,x,1 / x) != z | x * y = z. x * y != R(R(z,u,w),v5,v6) | R(R(z,v5,v6),u,w) / y = x. R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). x * y != R(L(z,u,w),v5,v6) | L(R(z,v5,v6),u,w) / y = x. L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). L((x * y) \ z,u,w) = L(L(y \ (x \ z),u,w),y,x). L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. (x * (x \ y)) * z != u | y * z = u. R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. T((x \ y) \ 1,y \ x) = (x \ y) \ 1. L(T(x \ 1,y),x,z / x) = T(z \ (z / x),y). T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). (x / y) \ (L(y \ 1,y,x / y) * x) = K(x \ (x / y),x). R(T(1 / x,y),x,x \ z) = T((x \ z) / z,y). T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). 1 * x != y * z | x / z = y. x * T(y,x) != z * u | (y * x) / u = z. ((x / y) * y) * z != u * w | (x * z) / w = u. ((1 / x) * x) * y != z * u | y / u = z. x * y != z * u | z \ (x * y) = u. ((x / y) * y) * z != u * w | u \ (x * z) = w. x * (y * (y \ (x \ z))) != u * w | u \ z = w. (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. x * (y * (y \ z)) != u * w | u \ (x * z) = w. L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. T(T(x / y,z),y) != u | T(y \ x,z) = u. x / ((y \ 1) * x) != z | z = R(y,y \ 1,x). x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. x * ((x \ 1) * y) != z | z = L(y,x \ 1,x). x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. (x * y) \ (x * z) != u | u = L(y \ z,y,x). (x * y) \ (x * z) != u | L(y \ z,y,x) = u. L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). R((1 / x) * y,z,u) = L(R(x \ y,z,u),x,1 / x). L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). T((x \ 1) \ y,x * y) = (x \ 1) \ y. R(x / y,y,x \ z) \ z = y * (x \ z). R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). R(x * (y \ 1),z,u) = R(R(x / y,z,u),y,y \ 1). R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). K(x,1 / x) * L(x,1 / x,x) = x. ((x / y) \ x) * z != u | y * z = u. (x / (y \ x)) * z != u | y * z = u. (x * (x \ y)) * z != u * w | u \ (y * z) = w. x != K(x,1 / x) * y | L(x,1 / x,x) = y. K(x,1 / x) * y != x | L(x,1 / x,x) = y. ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. x != (y * z) * L(u,z,y) | x = y * (z * u). L(x,y,z) * (z * y) = z * (y * T(x,z * y)). x * (y * T(z,x * y)) = L(z,y,x) * (x * y). a(x,y,L(T(z,y),u,w)) = (x * (L(z,u,w) * y)) \ ((x * y) * L(T(z,y),u,w)). (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 * L(y,z,u) = L((x * y) / x,z,u) * x. L((x * y) / x,z,u) * x = x * L(y,z,u). (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). x != R(y,z,u) * (z * u) | x = (y * z) * u. (x * y) * R(T(z,x * y),x,y) = (z * x) * y. (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). x * R(x,y,z) = R(x,y,z) * x. R(x,y,z) * x = x * R(x,y,z). x * R(x \ y,z,u) = R(y / x,z,u) * x. R(x / y,z,u) * y = y * R(y \ x,z,u). x * R(T(x,y),z,u) = R(T(x,y),z,u) * x. R(T(x,y),z,u) * x = x * R(T(x,y),z,u). x * R(y,z,u) = R((x * y) / x,z,u) * x. R((x * y) / x,z,u) * x = x * R(y,z,u). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). x * R(T(y,x),z,u) != w * v5 | w \ (R(y,z,u) * x) = v5. T(x,R(x,y,z)) = x. (x * L(x \ y,z,u)) / x = L(y / x,z,u). (x * R(x \ y,z,u)) / x = R(y / x,z,u). T(x / (y * x),y) = R(y \ 1,y,x). T((x * y) / (z * y),z) = R(z \ x,z,y). T(x / y,y / x) = R((y / x) \ 1,y / x,x). R((x / y) \ 1,x / y,y) = T(y / x,x / y). T(x / (y * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). T(x * (y \ 1),y) = R(y \ x,y,y \ 1). R(x \ y,x,x \ 1) = T(y * (x \ 1),x). x * R(x \ 1,x,y) = (y / (x * y)) * x. (x / (y * x)) * y = y * R(y \ 1,y,x). x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. (x * (y * z)) / (x * y) = L(T(z,x * y),y,x). ((x \ y) \ y) \ (T(x,x \ y) * z) = z. ((x \ y) \ y) \ z = T(x,x \ y) \ z. T(x,x \ y) \ z = ((x \ y) \ y) \ z. T(x,x \ y) \ (((x \ y) \ y) * z) = z. L(x,y,(z \ u) \ u) = (T(z,z \ u) * y) \ (((z \ u) \ u) * (y * x)). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. x != (y / z) * z | x = y. (x / ((y \ z) \ z)) * T(y,y \ z) = x. x * y != z * ((u \ w) \ w) | (z * T(u,u \ w)) / y = x. (x * T(y,y \ z)) / ((y \ z) \ z) = x. x * y != z * T(u,u \ w) | x \ (z * ((u \ w) \ w)) = y. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. x \ (x / y) != z | L(y \ 1,y,x / y) = z. T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). x != y \ ((z \ y) * z) | x = K(z \ y,z). K(x,y) = K(y \ (y * x),y). K(x \ (x * y),x) = K(y,x). K(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,z). K((x / y) \ x,z) = K(y,z). (x * T(x \ y,z)) / x != u | u = T(y / x,z). (x * T(x \ y,z)) / x != u | T(y / x,z) = u. x != T(y,y \ z) * u | x = ((y \ z) \ z) * u. x * T(y,((x * y) / x) \ z) = ((((x * y) / x) \ z) \ z) * x. ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). (x * T(y,z)) / x != u | u = T((x * y) / x,z). (x * T(y,z)) / x != u | T((x * y) / x,z) = u. T(x / y,z) * y != u | u = y * T(y \ x,z). T(x / y,z) * y != u | y * T(y \ x,z) = u. T((x * y) / x,T(y,z)) != u | u = (x * y) / x. T((x * y) / x,T(y,z)) != u | (x * y) / x = u. x * ((y * T(z,x)) / y) = ((y * z) / y) * x. (x * (y \ z)) / x = T((x * (z / y)) / x,y). T((x * (y / z)) / x,z) = (x * (z \ y)) / x. T((x * y) / x,z) * x != u | u = x * T(y,z). T((x * y) / x,z) * x != u | x * T(y,z) = u. K((x \ y) \ 1,y \ x) = 1. T(x \ y,(y \ x) \ 1) = x \ y. K(((x * y) \ x) \ 1,y) = 1. T(x * y,(x \ 1) \ y) = x * y. T(x * y,(x \ 1) \ y) != z | z = x * y. T(x * y,(x \ 1) \ y) != z | x * y = z. T(x,x \ y) * z != u | u = ((x \ y) \ y) * z. T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. x / T(y,y \ z) != u | u = x / ((y \ z) \ z). x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. x * y != (z * (z \ u)) * w | (u * w) / y = x. (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). x * a(x,y,y \ 1) = (x * y) * (y \ 1). (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). (x * (y * z)) \ ((x * y) * z) != u | u = a(x,y,z). (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. x \ (y * (z * (y \ x))) = L(T(z,y \ x),y \ x,y). L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. x \ R(x,y,y \ 1) = a(x,y,y \ 1). x * a(x,y,y \ 1) = R(x,y,y \ 1). L(a(x,y,y \ 1),x,z) = (z * x) \ (z * R(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 \ R(x,1 / y,y) = a(x,1 / y,y). T(x,x * y) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,x * y). x != L(T(y,z),u,w) | x = T(L(y,u,w),z). (x * y) \ (x * (z * y)) = T(L(z,y,x),y). L(T(x,y),y,1 / y) != z | z = (1 / y) * (x * y). L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). T(x,x * y) = T(L(x,y,x),y). T(L(x,y,x),y) = T(x,x * y). R(T(x,x * y),z,u) = L(R(T(x,y),z,u),y,x). L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). x * T(y,y * x) = L(y,x,y) * x. L(T(x,x * y),z,u) = T(L(L(x,y,x),z,u),y). T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). T(T(x,x * y),y) = L(x,y,x). (x * T(y,y * x)) / x = L(y,x,y). x * T(y,y * x) != z | L(y,x,y) * x = z. T(T(x,y),x * y) = L(x,y,x). T(T(x,y),x \ y) = L(x,x \ y,x). T(T(x / y,x),y) = L(x / y,y,x / y). L(x / y,y,x / y) = T(T(x / y,x),y). L(x,y,x) * y != z | y * T(x,x * y) = z. T(T(x,x \ y),y) = L(x,x \ y,x). T((x * y) / x,y * x) = L(y,x,y). L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). T(L(x,y,x),z) = T(T((y * x) / y,z),x * y). T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). T(R(x,y,K(y,x)),z) * (y * K(y,x)) = (y * K(y,x)) * T((y * K(y,x)) \ (y * x),z). (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). x * y != R(z,u,u \ w) * w | x \ ((z * u) * (u \ w)) = y. x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). T((x * y) \ x,y) = L(1 / y,y,x). (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). (x * ((y * x) \ y)) / x = L(1 / x,x,y). (x / (y * x)) * (R(1 / y,y,x) \ z) = z. (x * y) \ y = R(T(1 / x,x * y),x,y). R(T(1 / x,x * y),x,y) = (x * y) \ y. x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. x * T(x \ (y * x),z) != u | T(y,z) * x = u. x != T(y / z,z) | x = z \ y. L(T(x \ 1,x),x,1 / x) = x \ 1. x * y != L(T(z \ 1,u),z,1 / z) | x \ T(1 / z,u) = y. (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). T(x,(y * z) \ y) = L(z \ 1,z,y) \ (x * ((y * z) \ y)). L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). L(x \ 1,x,y) != z | (y * x) \ y = z. x != y * L(T(z,y),u,w) | x = L(z,u,w) * y. x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). x \ (y * ((y \ x) * z)) != u | u = L(z,y \ x,y). x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. x * y != z * (u * (u \ x)) | T(z,x) = y. T(x / y,x) = L(y \ x,y,x / y). L(x \ y,x,y / x) = T(y / x,y). (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. x * y != z * L(T(u,z),w,v5) | x \ (L(u,w,v5) * z) = y. (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y). L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). x != (y * z) \ (z * y) | x = K(z,y). L(x \ T(x,y),x,y) = K(x,y). K(x,y) = L(x \ T(x,y),x,y). L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. (x * y) / ((z \ x) * y) != u | u = R(z,z \ x,y). (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). R((x * y) / z,u,w) = R(R(x / (z / y),u,w),z / y,y). R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. T((x * y) / z,z / y) = R((z / y) \ x,z / y,y). R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). (x * y) \ (x * (z * y)) != u | u = L(T(z,y),y,x). (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. x != L(T(y \ 1,y),y,1 / y) | x = y \ 1. (1 / x) * ((x \ 1) * x) = x \ 1. (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. (1 / x) * K(x \ 1,x) = x \ 1. x * y != (1 / z) * K(z \ 1,z) | x \ (z \ 1) = y. x \ ((x \ 1) \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). L(x,K(y \ 1,y),1 / y) = (y \ 1) \ ((1 / y) * (K(y \ 1,y) * x)). (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). x * R(T(y,x),z,u) != w * v5 | (R(y,z,u) * x) / v5 = w. R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). T(((x * y) * z) / (x * z),x) = R(y,x,z). R(x,y,z) = T(((y * x) * z) / (y * z),y). T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. 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. R(x \ 1,x,x \ 1) = T(x \ 1,x). R(x,y,y \ 1) = T((y * x) * (y \ 1),y). T((x * y) * (x \ 1),x) = R(y,x,x \ 1). (x / y) * (y / x) = (y / x) * R((y / x) \ 1,y / x,x). (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. x \ ((x / y) * (z * y)) = T(L(z,y,x / y),y). T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). x != T(T(y / z,u),z) | x = T(z \ y,u). L(x / y,y,x / y) = T(y \ x,x). ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. T(R(x,y,z),y) = ((y * x) * z) / (y * z). ((x * y) * z) / (x * z) = T(R(y,x,z),x). x * R(y,x,z) = (((x * y) * z) / (x * z)) * x. (((x * y) * z) / (x * z)) * x = x * R(y,x,z). T(R(x,y,x),y * x) = T(x,y). R(x,y,x) * (y * x) = (y * x) * T(x,y). x != T(R(y,z,u),w) | x = R(T(y,w),z,u). T(x,y) = R(T(x,y * x),y,x). R(T(x,y * x),y,x) = T(x,y). (x * y) * T(T(y,x),z) = T(R(y,x,y),z) * (x * y). T(R(x,y,x),z) * (y * x) = (y * x) * T(T(x,y),z). (x * y) * L(T(y,x),z,u) = L(R(y,x,y),z,u) * (x * y). L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). (x * y) * R(T(y,x),z,u) = R(R(y,x,y),z,u) * (x * y). R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). R(T(x,y),y / x,x) = T(x,y / x). T(x,y) * (y * x) = (T(x,y * x) * y) * x. (T(x,y * x) * y) * x = T(x,y) * (y * x). R(x,1 / x,x) = T(x,1 / x). x * y != R(z,1 / z,z) | T(z,1 / z) / y = x. T(x,1 / x) / x = x * (1 / x). x != y * (1 / y) | x = K(y,1 / y). T(x,1 / x) / x = K(x,1 / x). (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). (x * y) * T(y,x) = (y * x) * y. R(x,y,x) * (y * x) = (x * T(y,x)) * T(x,y). (x * T(y,x)) * T(x,y) = R(x,y,x) * (y * x). x * T(y,x / y) = (y * (x / y)) * y. (x * (y / x)) * x = y * T(x,y / x). x * y != (z * (z \ 1)) * u | x \ u = y. ((x \ 1) * x) \ x = T(x,x \ 1). K(x \ 1,x) \ x = T(x,x \ 1). x != T(y,y \ z) | x = (y \ z) \ z. K(x \ 1,x) \ x = (x \ 1) \ 1. K(x \ 1,x) * ((x \ 1) \ 1) = x. T(T(R(x,y,z),u),w) = R(T(T(x,w),u),y,z). R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. (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) * x = (y / x) * (y / (y / x)). (x / y) * (x / (x / y)) = (y \ x) * y. (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) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. (x * y) \ (T(y,x) * (x * z)) != u | L(z,x,T(y,x)) = u. (x * y) \ z != u | L(y \ (x \ z),y,x) = u. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. ((x * T(y,z)) * z) / (z * y) != u | R(x,T(y,z),z) = u. x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). (x * L(y,z,u)) / x = L((x * y) / x,z,u). L((x * y) / x,z,u) = (x * L(y,z,u)) / x. R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). R(R(x,y,K(y,x)),z,u) * (y * K(y,x)) = (y * K(y,x)) * R((y * K(y,x)) \ (y * x),z,u). (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). T(x,R(T(x,y),z,u)) = x. T(x \ y,R(y / x,z,u)) = x \ y. ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). (x * R(y,z,u)) / x = R((x * y) / x,z,u). R((x * y) / x,z,u) = (x * R(y,z,u)) / x. x * y != R((z * u) / z,w,v5) * z | (z * R(u,w,v5)) / y = x. (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). L(x / y,z,u) * y != w | w = y * L(y \ x,z,u). L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. T(L(x / y,z,u),y) != w | w = L(y \ x,z,u). T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). (x * ((y * x) \ z)) / x = L((y \ z) / x,x,y). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). (x * K(x,y)) / x = L(T(x,y) / x,x,y). L(T(x,y) / x,x,y) = (x * K(x,y)) / x. ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). R(x / y,z,u) * y != w | w = y * R(y \ x,z,u). R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. 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. T(x,y) * T(y,x * y) != z | L(y,T(x,y),y) * T(x,y) = z. x != (y / z) \ y | x = z. (1 / (1 / x)) * (x * (1 / x)) = x. (1 / (1 / x)) * K(x,1 / x) = x. R(T(x \ y,z),u,w) = T(T(R(y / x,u,w),z),x). T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). L((x * y) / x,z,u) * x != w | w = x * L(y,z,u). L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. 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. R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). x != L(y \ z,y,u) | x = (u * y) \ (u * z). L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). L(1 / x,x,y) = L((y * x) \ y,x,1 / x). L((x * y) \ x,y,1 / y) = L(1 / y,y,x). (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). L(x,T(y,z),z) * (y * z) = z * (T(y,z) * T(x,y * z)). x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). T((x * y) \ (y * z),u) = L(T(T(x,y) \ z,u),T(x,y),y). L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. R((x * y) \ (y * z),u,w) = L(R(T(x,y) \ z,u,w),T(x,y),y). L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. x * y != y * T(z,u) | x = T((y * z) / y,u). R(x,y,T(x,y)) = T(((x * y) * x) / (x * y),y). T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). x * y != R(z,u,w) * x | y = R(T(z,x),u,w). T(x,y) = R(T(x,x * y),y,T(x,y)). R(T(x,x * y),y,T(x,y)) = T(x,y). T(x,y) * (x * y) = (T(x,x * y) * y) * T(x,y). (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). (x * y) \ (z * y) = R(T(z / x,x * y),x,y). R(T(x / y,y * z),y,z) = (y * z) \ (x * z). R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. (x * y) * ((z * ((x * y) \ (u * y))) / z) = ((z * R(u / x,x,y)) / z) * (x * y). ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)). (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). x != L(T(y,z),z,1 / z) | x = (1 / z) * (y * z). T((1 / x) * y,x) = (1 / x) * ((x \ y) * x). (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). L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). x * y != R(T(z / (1 / u),w),1 / u,u) | T(z * u,w) / y = x. T(x * y,z) / y = T(x / (1 / y),z) * (1 / y). T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. x * y != 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. x * (y * T(y \ 1,x * y)) = ((x * y) \ x) * (x * y). ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). x * y != (z * (u * w)) * a(z,u,w) | x \ ((z * u) * w) = y. ((x * y) * a(z,x,y)) \ ((z * x) * y) = R(T(z,(x * y) * a(z,x,y)),x * y,a(z,x,y)). R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). (x * y) * R(T(z,x * y),x,y) != u * w | u \ ((z * x) * y) = w. (x * y) \ ((x * z) * y) = R(T(T(z,x),x * y),x,y). R(T(T(x,y),y * z),y,z) = (y * z) \ ((y * x) * z). K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(T(y,(x \ 1) * x),x \ 1,x). T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). x * y != (z * u) * a(z,w,w \ u) | ((z * w) * (w \ u)) / y = x. ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). T(L(L(x,y,x),z,u),y) = T(L(x,z,u),x * y). ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). x != T(L(y,z,u),w) | x = L(T(y,w),z,u). T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). x \ (y * (z \ x)) = R(T(y / z,x),z,z \ x). R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). (x / y) \ (L(z,y,x / y) * x) != u | u = y * T(z,x). (x / y) \ (L(z,y,x / y) * x) != u | y * T(z,x) = u. T(x \ ((x / y) * z),y) = x \ ((x / y) * ((y \ z) * y)). x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). R(1 / x,x,x \ y) != z | (x \ y) / y = z. L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. T(L(L(x,y,z),u,x),u) = T(L(x,y,z),x * u). (x * y) * T(L(x,z,u),x * y) = x * (y * T(L(x,z,u),y)). (x * y) \ ((x * (y / z)) * z) != u | a(x,y / z,z) = u. (x * (y * z)) \ ((x * T(z,y)) * y) != u | a(x,T(z,y),y) = u. x != y * z | x = R(y,z,z \ 1) / (z \ 1). x * ((y * (x \ z)) / y) = R((y * (z / x)) / y,x,x \ 1) / (x \ 1). R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. ((x * (y / z)) / x) * z != u | u = z * ((x * (z \ y)) / x). ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). T((x * y) \ (z * y),x) = R(T(x \ z,x * y),x,y). R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). T(x,y) * z != T(x,y) * (x * y) | T(T(x,x * y) * y,T(x,y)) = z. T(T(x,x * y) * y,T(x,y)) = x * y. T(x,y) * (z \ 1) = z \ T(z * (x * (z \ 1)),y). x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = x \ T(x * y,x \ 1). x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). x != (y \ z) * T((y \ z) \ z,u) | x = T(y,u) * (y \ z). x \ T(x,y) = T(x,y) * (x \ 1). T(x,y) * (x \ 1) = x \ T(x,y). (1 / x) \ T(y,z) = x * T(x \ ((1 / x) \ y),z). x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). (1 / x) * (x * T(x \ y,z)) != u | u = T((1 / x) * y,z). (1 / x) * (x * T(x \ y,z)) != u | T((1 / x) * y,z) = u. (1 / x) * T(y,z) = T(((1 / x) * y) * x,z) / x. T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. x * y != T(z / (1 / u),w) * (1 / u) | x \ (T(z * u,w) / u) = y. (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. (1 / x) * T(x,y) = T(x,y) / x. x * T(x \ 1,y) = T(x \ 1,y) / (x \ 1). T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). T(x,y) * z != T(x,y) / x | T(1 / x,T(x,y)) = z. T(1 / x,T(x,y)) = T(x,y) \ (T(x,y) / x). T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). (T(x,y) / x) / T(x,y) = 1 / x. (1 / x) \ (T(x,y) / x) = T(x,y). x != y * T(z,z \ u) | x = y * ((z \ u) \ u). T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). ((x \ y) \ y) / x = (1 / x) * ((x \ y) \ y). (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. x != T(y / z,u) * z | x = z * T(z \ y,u). T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z). T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). (x \ 1) * T((x \ 1) \ y,z) != u | u = x \ T(x * y,z). (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. x * y != (z \ 1) * T((z \ 1) \ (z \ u),w) | (z \ T(u,w)) / y = x. (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). x != (y \ 1) * T((y \ 1) \ z,u) | x = y \ T(y * z,u). T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). (x \ 1) * T((x \ 1) \ (x \ y),z) != u | u = x \ T(y,z). (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. (1 / x) * T((1 / x) \ (y / x),z) != u | u = T(y,z) / x. (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). K(x \ 1,x) * L(L(y,x,x \ 1),z,u) = (x \ 1) * (x * L(y,z,u)). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). x != y * (z * (z \ u)) | x = y * u. K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. L((x * y) / z,u,w) * ((z / y) * y) = (L(x / (z / y),u,w) * (z / y)) * y. (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * ((y / z) * z). R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. 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. L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)). x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. x != T(R(y,z,u),w) * (z * u) | x = (T(y,w) * z) * u. (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. (x * y) * z != (u * x) * y | z = R(T(u,x * y),x,y). T(T(x,y),z) = R(T(T(x,y),z * x),z,x). R(T(T(x,y),z * x),z,x) = T(T(x,y),z). (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y). T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). (x \ 1) * y != K(x \ 1,x) * z | L(x \ y,x,x \ 1) = z. K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. R((x \ y) \ y,z,u) = R(T(x,x \ y),z,u). R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). x * y != R(T(z,z \ u),w,v5) | x \ R((z \ u) \ u,w,v5) = y. ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = T(x,x \ y) \ R(T(z,z \ u),w,v5). T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). (x * y) * T((x * y) \ 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). x \ (T(x,y) * z) = T(x,y) * (x \ z). T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. T(x * y,x) = T(x,x * y) * y. T(x,x * y) * y = T(x * y,x). T(x,y) * (x * (T(x,y) \ z)) = x * z. T(x,y) \ (x * (T(x,y) * z)) = x * z. x * y != z * (u * (u \ w)) | x \ (z * w) = y. T(x,y) \ (x * z) = x * (T(x,y) \ z). x * y != z * (u * (u \ (z \ w))) | x \ w = y. T(x,y) \ z = x * (T(x,y) \ (x \ z)). x * (T(x,y) \ (x \ z)) = T(x,y) \ z. T(x,y) \ x = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = T(x,y) \ x. T(x / y,z) * x = (x / y) * (T(x / y,z) * y). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. T(x,y) * (z * x) = x * (T(x,y) * T(z,x)). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). (x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z). (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). (T(x,y) * z) \ (x * (T(x,y) * z)) = L(T(x,z),z,T(x,y)). x * y != T(z,z * u) * u | x \ T(z * u,z) = y. x \ T(y * x,y) = T(T(y,x),y * x). (T(x,y) \ x) / (T(x,y) \ 1) = x. x \ (T(x,y) \ x) = T(x,y) \ 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). T(x,T(x,y) \ 1) != z | (T(x,y) \ 1) \ (T(x,y) \ x) = z. (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,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 != T(x,z) * z | y = (x * z) / x. T(x,y) * (x \ y) = (x * y) / x. x * (x * (y / x)) = T(x,x \ y) * y. T(x,x \ y) * y = x * (x * (y / x)). x * y != (z * u) / z | x \ T(u,z) = y. T(x,y) \ T(y,x) = x \ y. T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. ((x * y) / x) \ T(x,y) = y \ x. ((x * y) / x) * (y \ x) = T(x,y). T(x,y) = ((x * y) / x) * (y \ x). T(x,y) / (y \ x) = (x * y) / x. x * y != ((z * u) / z) * (u \ z) | x \ T(z,u) = y. (x \ y) \ T(y,x) = T((y * x) / y,x \ y). T((x * y) / x,y \ x) = (y \ x) \ T(x,y). T(x / y,y) = (x / (x / y)) * (y \ (x / y)). (x / (x / y)) * (y \ (x / y)) = T(x / y,y). T(x,x / y) = ((x * (x / y)) / x) * y. ((x * (x / y)) / x) * y = T(x,x / y). T(x,T(y,x)) = y * (T(y,x) \ x). x * (T(x,y) \ y) = T(y,T(x,y)). T(x,R(y,y \ 1,x)) = ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x). ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). T(x * y,x) / y = ((x * y) * x) / (x * y). ((x * y) * x) / (x * y) = T(x * y,x) / y. (x * (T(x,y) \ z)) * u != x * z | T(T(x,y),x * (T(x,y) \ z)) = u. T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). x * y != z * ((z \ x) * u) | y = L(u,z \ x,z). x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). T(x,y) \ (x * z) != u | u = x * (T(x,y) \ z). T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. x \ (T(x,y) \ z) = T(x,y) \ (x \ z). T(x,y) \ (x \ z) = x \ (T(x,y) \ z). x != T(T(y,z),y * z) | x = L(y,z,y). x \ T(y * x,y) = L(y,x,y). x * L(y,x,y) = T(y * x,y). x != ((y * (z / u)) / y) * u | x = u * ((y * (u \ z)) / y). T(x,x / y) = y * ((x * (y \ x)) / x). x * ((y * (x \ y)) / y) = T(y,y / x). x * (T(x,y) \ (x \ z)) != u | u = T(x,y) \ z. x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. (x / y) * ((x * y) / x) = T(x,x / (x / y)). (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). x * y != T(x,z) * (z * x) | T(T(x,z * x) * z,x) = y. T(T(x,y * x) * y,x) = T(x,y) * T(y,x). T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). x * (x * y) = T(x,T(y,x)) * (y * x). T(x,T(y,x)) * (y * x) = x * (x * y). T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). T((x \ y) \ T(y,x),y) = T(x,x \ y). T((x \ y) \ T(y,x),y) = (x \ y) \ y. x * y != T((z * u) / z,z) | u / y = x. x / (y \ ((y * x) / y)) = (y * x) / ((y * x) / y). (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). T(T(x * y,x) / y,x * y) = x. T(T(x * y,x) / y,y) = R(x,y,T(x,y)). T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. x * R(y,x,T(y,x)) = T(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. (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ T(y / x,x). T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. x * (y * ((x \ y) / y)) = T(y,y / (x * y)). (x / y) * K(y \ 1,y) = x * T(x \ (x / y),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). K((x * y) \ x,x * y) = y * T(y \ 1,x * y). 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). (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). (x \ 1) * ((y * (x \ 1)) \ z) = x \ L(x * (y \ z),x \ 1,y). x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). x != (y \ z) * L((y \ z) \ z,u,w) | x = L(y,u,w) * (y \ z). x \ L(x,y,z) = L(x,y,z) * (x \ 1). L(x,y,z) * (x \ 1) = x \ L(x,y,z). x * y != (z \ 1) * L((z \ 1) \ 1,u,w) | x \ (z \ L(z,u,w)) = y. L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. ((x \ 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). x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. (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). 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. (1 / x) * R(x,y,z) = R(x,y,z) / x. x * R(x \ 1,y,z) = R(x \ 1,y,z) / (x \ 1). R(x \ 1,y,z) / (x \ 1) = 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)). (1 / x) \ (R(x,y,z) / x) = R(x,y,z). ((1 / x) * R(x,y,z)) * x = R(x,y,z). R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). (1 / x) * R(x,y,z) != u | u = R(x,y,z) / x. (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. x != L(y / z,u,w) * z | x = z * L(z \ y,u,w). L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). ((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z). (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). (x \ y) \ (y / x) = (y / x) * ((x \ y) \ 1). (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). (x / y) \ (y \ x) = (y \ x) * ((x / y) \ 1). (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). x != (1 / y) * ((y \ z) \ z) | x = ((y \ z) \ z) / y. (x \ 1) \ (1 / x) = ((x \ 1) \ 1) / x. ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). (x / (x / y)) * (y \ 1) = ((x / y) \ x) \ (x / (x / y)). ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). x != y * L(z \ 1,z,u) | x = y * ((u * z) \ u). L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. x != L(y \ 1,y,z) | x = (z * y) \ z. (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. K(x \ 1,x * ((y * x) \ y)) = L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))). L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. x \ (y / (y / x)) = (y / (y / x)) * (x \ 1). (x / (x / y)) * (y \ 1) = y \ (x / (x / 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. K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). T(a(x,y,z),x * (y * z)) \ ((x * y) * z) != u | u = x * (y * z). T(a(x,y,z),x * (y * z)) \ ((x * y) * z) != u | x * (y * z) = u. L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). x * T(x \ 1,y) = K(y \ (y / x),y). K(x \ (x / y),x) = y * T(y \ 1,x). x * y != (z / u) \ (L(u \ 1,u,z / u) * z) | x \ K(z \ (z / u),z) = y. x \ K(y \ (y / x),y) = T(x \ 1,y). K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. x != (1 / y) * T((1 / y) \ 1,z) | x = T(y,z) / y. K(x \ (x / (1 / y)),x) = T(y,x) / y. x != (y \ 1) * T((y \ 1) \ 1,z) | x = y \ T(y,z). K(x \ (x / (y \ 1)),x) = y \ T(y,x). K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). x * T(x \ 1,y) != z | z = K(y \ (y / x),y). x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). K(x \ (x / (1 / y)),x) * y = T(y,x). T(x,y) = K(y \ (y / (1 / x)),y) * x. K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. 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)). T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). x * L(x \ (y * z),u,w) = y * ((y \ x) * L((y \ x) \ z,u,w)). x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). x * 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). R((x * y) / z,u,w) * z = (R(x / (z / y),u,w) * (z / y)) * y. (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. x != L(R(y,z,u),w,v5) * (z * u) | x = (L(y,w,v5) * z) * u. (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. x != R(R(y,z,u),w,v5) * (z * u) | x = (R(y,w,v5) * z) * u. (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). (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 != L((z * (u \ w)) / z,u,v5) | x \ ((z * ((v5 * u) \ (v5 * w))) / z) = y. (1 / x) \ ((y * (((1 / x) * x) \ ((1 / x) * z))) / y) = x * ((y * (x \ z)) / y). (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. x * ((y * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)). (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). x * y != R((z * (u / (1 / w))) / z,1 / w,w) | ((z * (u * w)) / z) / y = x. ((x * (y * z)) / x) / z = ((x * (y / (1 / z))) / x) * (1 / z). ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). T(x,y) / x != z | (1 / x) * T(x,y) = z. x != y * ((y \ z) * T(u,z)) | x = L(u,y \ z,y) * z. (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). x != (y * T(z,u)) / y | x = T((y * z) / y,u). L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. L(T(x \ y,z),x,1 / x) != u | T((1 / x) * y,z) = u. (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. T(x,T(x,y) * z) = L(T(x,z),z,T(x,y)). L(T(x,y),y,T(x,z)) = T(x,T(x,z) * y). (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). 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). K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). (x * y) * T(y,z) = (T((x * y) / x,z) * x) * y. (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. (x * T(y,z)) * y = (x * y) * T(y,z). x / T(x,y) = (1 / T(x,y)) * x. (1 / T(x,y)) * x = x / T(x,y). (x * y) / T(y,z) = (x / T(y,z)) * y. x * y = ((x / T(y,z)) * y) * T(y,z). ((x / T(y,z)) * y) * T(y,z) = x * y. x != y * T(z,y) | x = z * y. (x * T(y,x * y)) * y = y * (x * y). ((x / y) * T(y,z)) * y = x * T(y,z). (x * T(y,z)) \ ((x * y) * T(y,z)) = y. x * y != z * T(y,z) | x = T(z,y). x * T(y,x * y) = T(x * y,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). (1 / T(x,y)) \ (x / T(x,y)) = x. ((x * y) * T(z,y * z)) / T(y * z,z) != u | R(x,y,T(z,y * z)) = u. (1 / T(x,y)) * x != z | z = x / T(x,y). (1 / T(x,y)) * x != z | x / T(x,y) = z. (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). x * (1 / T(x,y)) = T(x,1 / T(x,y)) / T(x,y). T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). x * y != (z * x) / T(x,u) | T(z / T(x,u),x) = y. (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. T(x,T(y,x)) = (x / T(y,x)) * y. (x / T(y,x)) * y = T(x,T(y,x)). 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) / T(y,z) != u | u = (x / T(y,z)) * y. (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. T(x,x / (x / T(y,x))) * T(y,x) = x * y. x * y != z * T(u,z) | (u * z) / y = x. (x * y) / x = (y / x) * T(x,y). (x / y) * T(y,x) = (y * x) / y. x * y != (z / u) * u | z / y = x. x / y = ((x / T(y,z)) / y) * T(y,z). ((x / T(y,z)) / y) * T(y,z) = x / y. x * T(x \ y,y) = ((x \ y) * y) / (x \ y). ((x \ y) * y) / (x \ y) = x * T(x \ y,y). T(x,y) * z != (x * y) / x | T(y / x,T(x,y)) = z. T(x / y,T(y,x)) = y \ x. 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 != (z * u) / z | T(u,z) / y = x. T(x,y) / T(y,x) = x / y. x * y != (z / u) * T(u,z) | ((u * z) / u) / y = x. ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). (x * y) * T(L(y \ 1,y,x),x) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). (x * (1 / y)) * T(L(y,1 / y,x),x) = (L(y,1 / y,x) * x) / L(y,1 / y,x). (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). T(x,T(y,x * y)) = y \ (x * y). T(x / y,(x * y) / x) = y \ x. T(x \ y,x) = T(x \ y,T(x,y)). T(x \ y,T(x,y)) = T(x \ y,x). x != y \ (z * y) | x = T(z,y). T(x,T(y,x * y)) = T(x,y). T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). T(x,y) = R(T(x,y * T(x,z)),y,T(x,z)). R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(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). T(x,y \ x) = y * T(y \ x,x). x * T(x \ y,y) = T(y,x \ y). x * y != z * T(z \ u,u) | T(u,z \ u) / y = x. T(x,y \ x) / y = T(x / y,x). T(x,y * T(y \ x,x)) = x. x * ((y * (x \ y)) / y) = T(y,x \ y). (1 / x) * T(y,x \ y) = T((1 / x) * y,y). T(x,x * (y * T(y \ 1,x))) = x. x != T(y,z) | x = (z * y) / z. T(x,y \ x) / y = (x * (x / y)) / x. T(T(x,y \ x) / y,x) = x / y. x != y * ((z * (y \ z)) / z) | x = T(z,z / y). T(x,y \ x) = T(x,x / y). T(x,x / y) = T(x,y \ x). T(x * y,(x * y) / x) = T(x * y,y). T(x,y) = T(x,(y \ x) \ x). T(x,(y \ x) \ x) = T(x,y). T(x,x / (x / y)) = T(x,y). T(x,T(y,y \ x)) = T(x,y). x * y != T(z,z / (z / u)) | x \ T(z,u) = y. (x / y) \ T(x,y) = (x * y) / x. T(x * y,T(x,y)) = T(x * y,x). x \ T(x * y,y) = ((x * y) * y) / (x * y). ((x * y) * y) / (x * y) = x \ T(x * y,y). T(x * y,T(y,x)) = T(x * y,y). x * y != T(x * z,z) | y = T(z,x * z). T(x,y \ x) = T(x,(1 / y) * x). T(x,(1 / y) * x) = T(x,y \ x). (1 / x) * T(y * x,T(y,x)) = T((1 / x) * (y * x),y * x). T((1 / x) * (y * x),y * x) = (1 / x) * T(y * x,T(y,x)). T(x,y * x) = T(x,(y \ 1) \ x). T(x,(y \ 1) \ x) = T(x,y * x). (x \ T(x * y,y)) * x = x * R(y,x,y). (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). (x * (x * y)) / (y * x) = T(x,x / (x / T(y,x))). T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). x != T(y,y / (y / T(z,y))) | x = (y / T(z,y)) * z. (x * (x * y)) / (y * x) = (x / T(y,x)) * y. x != y / (z * u) | x = R((y / u) / z,z,u). (x / T(y,x)) * y = R(((x * (x * y)) / x) / y,y,x). R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). (x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y). (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. (x \ y) / (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 / x)) * (x \ y) = y * (y / x). ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). (x \ y) * z != (x \ y) / (y / x) | T(1 / (y / x),x \ y) = z. T(1 / (x / y),y \ x) = (y \ x) \ ((y \ x) / (x / y)). (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). x != (y / (y / z)) * (z \ 1) | x = z \ (y / (y / z)). (x \ 1) / (1 / x) = x \ (1 / (1 / x)). (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). ((x \ y) * x) * x = y * (y / (y / x)). (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). K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. x != y * T(T(z,y),u) | x = T(z,u) * y. T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). x != T(y,z) * (y \ 1) | x = y \ T(y,z). T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). L(x,y,z) * (x * u) = x * (u * T(L(x,y,z),u)). x * (y * T(L(x,z,u),y)) = L(x,z,u) * (x * y). x * (L(x,y,z) * u) = L(x,y,z) * (x * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). x \ y = L(x,z,u) * (x \ (L(x,z,u) \ y)). L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. L(x,y,z) * u = x * (L(x,y,z) * (x \ u)). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). L(x,y,z) \ x = x * (L(x,y,z) \ 1). x * (L(x,y,z) \ 1) = L(x,y,z) \ x. x * y != L(z,u,w) * (z * v5) | x \ (z * (L(z,u,w) * v5)) = y. ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. K(L(x,y,z) \ 1,x) = (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x). (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). (1 / x) * (L(x,y,z) \ x) = L(L(x,y,z) \ 1,x,1 / x). L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). x * y != z \ (u * z) | x \ T(u,z) = y. L(x,y,z) \ T(u,x) = x \ (L(x,y,z) \ (u * x)). x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). (L(x,y,z) * (x \ u)) * w != L(x,y,z) * u | T(x,L(x,y,z) * (x \ 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)). L((x * y) / y,y,L(x,z,u)) = T((y * x) / y,L(x,z,u) * y). T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). x * y != z * T(u,z) | x \ (u * z) = y. x \ ((y \ (x * z)) * y) = (x \ y) * T((x \ y) \ z,y). (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). x != (y * z) \ ((y \ (y * z)) * y) | x = K(z,y). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x). K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). x * y != (z * u) \ ((z \ (z * u)) * z) | x \ K(u,z) = y. ((x * y) \ x) \ K(y,x) = T(((x * y) \ x) \ 1,x). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | z = K(y,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y). K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z). (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x * K((x \ y) \ 1,x \ y) = y * T(y \ x,x \ y). x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). T(x,y) / z = (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 \ T(y,z) = (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z). (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). x \ (y * T(y \ x,z)) = K(z \ (z / (x \ y)),z). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). x * T(y,z) = (x * y) * K(z \ (z / ((x * y) \ x)),z). (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). T(x,x * (y \ (z * T(z \ y,x)))) = x. T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. T(x,x * (T(x,y) \ x)) = x. T(T(x,y),x * (T(x,z) \ x)) != u | T(x,y) = u. x * T(y,(x * y) \ x) = (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x). (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x. (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. (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). (x * T(x \ y,z)) / y = (x / y) * T((x / y) \ 1,z). (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. x != y * T(y \ 1,z * y) | x = K((z * y) \ z,z * y). (x * T(x \ y,z * (x / y))) / y = K((z * (x / y)) \ z,z * (x / y)). K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). x != y * T(y \ (z * y),u) | x = T(z,u) * y. K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. T(x,y) = (x * (T(x,y) \ x)) \ (x * x). (x * (T(x,y) \ x)) \ (x * x) = T(x,y). (x * x) / T(x,y) = x * (T(x,y) \ x). (x / T(x,y)) * x = x * (T(x,y) \ x). 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(x / y,z) \ (y \ x) = (y \ x) * (T(x / y,z) \ 1). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). ((x \ y) \ y) * (T(x,z) \ 1) = T(y / (x \ y),z) \ ((x \ y) \ y). T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). x \ 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). x * (((y * x) / y) * z) = ((y * x) / y) * (x * z). ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). x \ ((y * x) / y) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). ((x * y) / x) * 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 = y * (((x * y) / x) \ 1). x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. x != ((y * z) / y) * (z \ u) | x = (z \ u) * ((y * ((z \ u) \ u)) / y). x \ ((y * x) / y) = (x \ 1) * ((y * ((x \ 1) \ 1)) / y). (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). T(x,y) * (T(z / (z / x),y) \ 1) = (((z / x) * T(x,y)) / (z / x)) \ T(x,y). (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). ((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. x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x). (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). (x \ 1) * 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 != (y \ z) * R((y \ z) \ z,u,w) | x = R(y,u,w) * (y \ z). x \ R(x,y,z) = R(x,y,z) * (x \ 1). R(x,y,z) * (x \ 1) = x \ R(x,y,z). x * y != (z \ 1) * R((z \ 1) \ 1,u,w) | (z \ R(z,u,w)) / y = x. (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). x * y != (z \ 1) * R((z \ 1) \ 1,u,w) | x \ (z \ R(z,u,w)) = y. R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. x * 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. R(1 / x,y,z) * x = (1 / x) \ R(1 / x,y,z). (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1). R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). x != R(y / z,u,w) * z | x = z * R(z \ y,u,w). (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). 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) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). (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 * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). x * y != R(1 / z,z,u) | (u / (z * u)) / y = x. (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. 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). (x \ 1) * R(T(y,x \ 1),z,u) = x \ R(x * (y * (x \ 1)),z,u). x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). x != ((y * (y / z)) / y) * z | x = T(y,y / z). ((x * (x * y)) / x) / y = T(x,x / (1 / y)). ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. (1 / x) * ((y * x) / y) = ((y * x) / y) / x. x * ((y * (x \ 1)) / y) = ((y * (x \ 1)) / y) / (x \ 1). ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. T((1 / x) * (y * x),y * x) = (1 / x) * T(y * x,y). (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) / ((z * y) / z) = (x / ((z * y) / z)) * y. x \ (y * T(y \ z,u)) = (x \ y) * T((x \ y) \ (x \ z),u). (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). x != (y * z) * T((y * z) \ u,w) | x = y * (z * T(z \ (y \ u),w)). (x * T(x \ y,z)) * u = x * (u * T(u \ (x \ (y * u)),z)). x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. x != (y * z) * T((y * z) \ y,u) | x = y * (z * T(z \ 1,u)). ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). x * y != (z * x) * T((z * x) \ (u * x),w) | T(z * T(z \ u,w),x) = y. T(x * T(x \ y,z),x) = x * T(x \ (x \ (y * x)),z). x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x). T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. x * y != z * T(z \ T(u,z),w) | x \ T(z * T(z \ u,w),z) = y. x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). T((x \ y) * x,x) = (x \ T(y,x)) * x. x * y != (z \ T(u,z)) * z | T((z \ u) * z,z) / y = x. T((x \ y) * x,x) / x = x \ T(y,x). x * 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) / y = y \ T(y * x,y). T(x,y) / y = y \ T(y * (x / y),y). x \ T(x * (y / x),x) = T(y,x) / x. (x \ T(y,x)) * x != z | z = T((x \ y) * x,x). (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. x * (T(y * x,x) / x) = T(x * y,x). x * (T(y,x) / x) = T(x * (y / x),x). T(x * (y / x),x) = x * (T(y,x) / x). T(x * T(y,z),x) / x = x \ T(x * T((x * y) / x,z),x). x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. T(x * L(y,z,u),x) / x = x \ T(x * L((x * y) / x,z,u),x). x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. x * ((1 / x) * T(y,x)) = T(x * ((1 / x) * y),x). T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). 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). T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). T(x * T(1 / x,y),x) = x * T(1 / x,y). x \ T(x * T(y / x,z),x) != u | u = T(T(y,x) / x,z). x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. (x * T(x \ 1,y)) * z = x * (z * T(z \ (x \ 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. T(x,(x \ 1) * x) = x. T(x,K(x \ 1,x)) = x. R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. T(x \ 1,x \ T(x,y)) = x \ 1. T(1 / x,T(x,y) / x) = 1 / x. R(x,x \ 1,x) = T(x,x \ 1). K(x \ 1,x) * x = x * K(x \ 1,x). T(x,x \ 1) \ x = (x \ 1) * x. T(x \ T(x,y),x \ 1) = x \ T(x,y). (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). (x * (1 / y)) / x = T((x * (1 / y)) / x,T(y,z) / y). T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. x != T(y,y \ z) \ u | x = ((y \ z) \ z) \ u. (x \ 1) * x = ((x \ 1) \ 1) \ x. ((x \ 1) \ 1) \ x = (x \ 1) * 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 != (y \ 1) * y | x = K(y \ 1,y). ((x \ 1) \ 1) \ x = K(x \ 1,x). ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. ((x \ 1) \ 1) * K(x \ 1,x) = x. T(x,x \ 1) * K(x \ 1,x) = x. R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). L(x \ T(x,y),x,y) = T((y * x) \ (x * y),x \ 1). T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). x != L(y \ T(y,z),y,z) | x = K(y,z). T((x * y) \ (y * x),y \ 1) = K(y,x). K(x,y) = T((y * x) \ (x * y),x \ 1). K(x,y) = T(K(x,y),x \ 1). T(K(x,y),x \ 1) = K(x,y). T(x \ 1,K(x,y)) = x \ 1. (x \ 1) * K(x,y) = K(x,y) * (x \ 1). K(x,y) * (x \ 1) = (x \ 1) * K(x,y). (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. (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). x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y. (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). T((x * (1 / y)) / x,T(y,z) / y) != u | u = (x * (1 / y)) / x. T((x * (1 / y)) / x,T(y,z) / y) != u | (x * (1 / y)) / x = u. T(x,K(x \ 1,y)) * (x \ 1) = 1. T(x,K(x \ 1,y)) = x. T(1 / x,K(x,y)) = 1 / x. x * K(x \ 1,y) != z | K(x \ 1,y) * x = z. 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) | x = z / y. T((1 * x) / y,K(y / x,z)) = x / y. T(x / y,K(y / x,z)) = x / y. T(x / y,y) = T(y \ x,K(y / x,z)). T(x \ y,K(x / y,z)) = T(y / x,x). T(x \ y,K(x / y,z)) = x \ y. T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,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). x != y * ((1 / y) * T(z,y)) | x = T(y * ((1 / y) * z),y). (x * T(x \ y,x)) * (1 / x) = T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x). T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). x * (y * T(y \ (x \ z),u)) = (x * T(x \ (z / y),u)) * y. (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = ((x * y) * T((x * y) \ x,u)) * z. ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). 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 \ (y / z)) * x) * z = x * (z * T(z \ (x \ y),x)). x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. (x \ T(x * (y / z),u)) * z = (x \ 1) * (z * T(z \ ((x \ 1) \ y),u)). (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). x != y * (z * T(z \ (y \ u),w)) | x = (y * z) * T((y * z) \ u,w). ((x \ (y / z)) * x) * z = (x * z) * T((x * z) \ y,x). (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. x * (y * T(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 * (K(x \ 1,x) * (x \ y)) = ((x \ (y / y)) * x) * y. ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). ((x \ 1) * x) * y = x * (K(x \ 1,x) * (x \ y)). x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. x * (K(x \ 1,x) * y) = K(x \ 1,x) * (x * y). K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). x * (K(x \ 1,x) * y) != K(x \ 1,x) * z | x * y = z. K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). ((x / y) * K(y \ 1,y)) * y = x * (y * T(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). (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x * y = ((x / K(y \ 1,y)) * y) * K(y \ 1,y). ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. R(x,y \ 1,y) = ((x * (y \ 1)) / K(y \ 1,y)) * y. ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). R(x,y \ 1,y) / y = (x * (y \ 1)) / K(y \ 1,y). (x * (y \ 1)) / K(y \ 1,y) = R(x,y \ 1,y) / y. (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). (x * (y \ 1)) / K(y \ 1,y) != z | z = R(x,y \ 1,y) / y. (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. x * 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 * ((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) * (y \ x) = (1 / (y \ x)) \ (x \ y). (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). (1 / ((x * y) \ x)) \ y = (x \ (x * y)) * ((x * y) \ x). (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). x * ((y * x) \ y) = (1 / ((y * x) \ y)) \ x. (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). L(x,y,L(x,z,u)) * y = y * T(x,L(x,z,u) * y). x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. x * y != L(z,u,w) * x | y = L(T(z,x),u,w). T(x,L(x,y,z) * u) = L(T(x,u),u,L(x,y,z)). L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). x != (y / z) * R((y / z) \ 1,y / z,z) | x = (z / y) * (y / z). (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. 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). ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). (x * y) * L(y,z,u) = (L((x * y) / x,z,u) * x) * y. (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. (x * L(y,z,u)) * y = (x * y) * L(y,z,u). ((x / 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 = ((1 / L(x,y,z)) * x) * L(x,y,z). ((1 / L(x,y,z)) * x) * L(x,y,z) = x. (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. x * y != ((z / u) * u) * w | (z * w) / y = x. (x * L(y,z,u)) / y = (x / y) * L(y,z,u). x * y != ((1 / z) * z) * u | u / y = x. L(x,y,z) / x = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. x * y != 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)). (L(x,y,z) / x) / L(x,y,z) = 1 / x. L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). (x * y) / L(y,z,u) != w | w = (x / L(y,z,u)) * y. (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = ((x * L(y,z,u)) / L(y,z,u)) * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w). ((x * L(y,z,u)) / L(y,z,u)) * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). (x * (y * z)) / z = ((x * y) / z) * L(z,y,x). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). ((x * y) / z) \ ((x * (y * z)) / z) = L(z,y,x). L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). x * y != (R(z,u,w) * (u * w)) / w | (z * u) / y = x. (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. L(x,y,z) * u != (z * (y * x)) / x | T((z * y) / x,L(x,y,z)) = u. (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). (T(x,y) \ x) * y = T(y,R(T(x,y),T(x,y) \ 1,y)). T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. T(x,R(1 / y,y,x)) / x = (1 / y) \ ((x * (1 / y)) / x). (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. L(x \ 1,x,y \ ((x * y) / x)) = T(1 / x,T(x,R(y,y \ 1,x))). T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). 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. x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). x * (R(x,y,z) * (x \ u)) = u * R(u \ (x * u),y,z). x * R(x \ (y * x),z,u) = y * (R(y,z,u) * (y \ x)). x * R(T(y,x),z,u) = y * (R(y,z,u) * (y \ x)). x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)). R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). R(x,y,z) * u = x * (R(x,y,z) * (x \ u)). x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. T(x,R(x,y,z) * (x \ u)) = (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u). (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). x \ (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 \ ((x * y) * (y \ z)) = R(x,y,y \ z) * (x \ z). R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). x * (R(x,y,z) * u) = R(x,y,z) * (x * u). R(x,y,z) * (x * u) = x * (R(x,y,z) * u). x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). R(x,y,z) \ x = x * (R(x,y,z) \ 1). x * (R(x,y,z) \ 1) = R(x,y,z) \ x. (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ 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). R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). (x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z). R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). x * y != R(z,u,x) * (u * x) | T(z * u,x) = y. 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,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),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). (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). (x * R(x \ y,z,u)) / y = (x / y) * R((x / y) \ 1,z,u). (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). x != (y * z) * R(L(u,z,y),w,v5) | x = y * (z * R(u,w,v5)). (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). x * y != z * ((u * (z \ u)) / u) | x \ T(u,u / z) = y. x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x * y != z \ T(z,z / (z * u)) | (u * ((z * (u \ 1)) / z)) / y = x. (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). 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). T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. x != y * R(T(z,y),u,w) | x = R(z,u,w) * y. x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u). (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). 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 * 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,R(x,y,z) * u) = L(T(x,u),u,R(x,y,z)). L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). x != T(y * T(1 / y,z),y) | x = y * T(1 / y,z). T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. x != (y \ 1) * ((z * ((y \ 1) \ 1)) / z) | x = y \ ((z * y) / z). K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). K(x,y / x) = (y \ x) * ((x * ((y \ x) \ 1)) / x). (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). K(T(x,y),1 / x) = x * ((T(x,y) * (x \ 1)) / T(x,y)). x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). K(L(x,y,z),1 / x) = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). x * K(x,(x / y) / x) = T(x,x / (x * y)). K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). x * K(x,y / x) = T(x,x / (x * (y \ x))). T(x,x / (x * (y \ x))) = x * K(x,y / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,y). x \ ((x * K(x,y)) * z) = T(x,R(y,x,(y * x) \ x)) * (x \ z). T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). (x * 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). x * y != z \ (z * u) | u / y = x. K(x,y) / (x \ 1) = x * K(x,y). x != (y * z) * L((y * z) \ u,w,v5) | x = y * (z * L(z \ (y \ u),w,v5)). (x * L(x \ y,z,u)) * w = x * (w * L(w \ (x \ (y * w)),z,u)). x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. x != (y * z) * L((y * z) \ y,u,w) | x = y * (z * L(z \ 1,u,w)). ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). x * y != (z * x) * L((z * x) \ (u * x),w,v5) | T(z * L(z \ u,w,v5),x) = y. T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u). x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x). T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). x * y != z * L(z \ T(u,z),w,v5) | x \ T(z * L(z \ u,w,v5),z) = y. x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). x \ T(x * L(y,z,u),x) = L(x \ T(x * y,x),z,u). L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). L(T(x,y) / y,z,u) = y \ T(y * L(x / y,z,u),y). x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). x != y \ T(y * L((y * z) / y,u,w),y) | x = T(y * L(z,u,w),y) / y. L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. (x * L(x \ 1,y,z)) * u = x * (u * L(u \ (x \ u),y,z)). x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. (x * L(x \ 1,y,z)) * u != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u. T(x,x * L(x \ 1,y,z)) = x. K(x,x * L(x \ 1,y,z)) = 1. T(x,x * ((y * x) \ y)) = x. T(x \ y,(x \ y) * (y \ x)) = x \ y. T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. T(x \ 1,x \ L(x,y,z)) = x \ 1. T(1 / x,L(x,y,z) / x) = 1 / x. T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). (x * (1 / y)) / x = T((x * (1 / y)) / x,L(y,z,u) / y). T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). (x \ y) * (y \ x) = L(y \ x,x \ y,y \ x) * (x \ y). L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T((x * (1 / y)) / x,L(y,z,u) / y) != w | w = (x * (1 / y)) / x. T((x * (1 / y)) / x,L(y,z,u) / y) != w | (x * (1 / y)) / x = w. x * (y \ z) != (y \ z) * (z \ y) | x = L(1 / (y \ z),y \ z,y). L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). x * (y * L(y \ (x \ z),u,w)) = (x * L(x \ (z / y),u,w)) * y. (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. x != (y * (z * u)) \ ((y * z) * u) | x = a(y,z,u). L(L(x,y,z) \ x,L(x,y,z),z * y) = a(z,y,x). a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). x != (y \ z) \ ((z / y) * u) | x = (z / y) * ((y \ z) \ u). L(x,K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ (K(y \ 1,y) * x)). (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(T(y,K(x \ 1,x)),x \ 1,x). ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * ((y \ 1) \ K(y \ 1,y))) / x). (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. T(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). T(x,x * y) = T(x,(1 / y) \ x). T(x,(1 / y) \ x) = T(x,x * y). x != T(y,z \ y) | x = T(y,y / z). T(x,x * y) = T(x,x / (1 / y)). T(x,x / (1 / y)) = T(x,x * y). R(T(x,x * y),y,x) = (x / T(y,x)) * y. x != (y / T(z,y)) * z | x = T(y,T(z,y)). R(T(x,x * y),y,x) = T(x,T(y,x)). (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). 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)). L(R(x,y,x),y,x) = T((y * x) / y,T(y,x)). T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). (1 / x) * ((x \ 1) \ ((x \ 1) * (x * y))) = L(L(y,x,x \ 1),K(x \ 1,x),1 / x). L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). x != (y \ z) * T((y \ z) \ 1,u) | x = y \ (z * T(z \ y,u)). K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). K(x \ y,T(x,y)) = y \ (x * T(x \ y,T(x,y))). x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). x != y \ (z * T(z \ y,T(z,y))) | x = K(z \ y,z). K(x \ y,T(x,y)) = K(x \ y,x). x != K(y \ (y * z),u) | x = K(z,u). K(x \ (x * y),x) = K(y,T(x,x * y)). K(x,T(y,y * x)) = K(x,y). K(x \ 1,T(y,x \ y)) = K(x \ 1,y). K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). 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). K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). x * T(y,(x * y) \ x) != (x * y) * z | K(((x * y) \ x) \ 1,(x * y) \ x) = z. (x * y) * z != x * T(y,(x * y) \ x) | K(((x * y) \ x) \ 1,(x * y) \ x) = z. (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). (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)). T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). T((x \ 1) * y,x) = (x \ 1) * ((x \ y) * x). (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). (x \ 1) * (K(y \ x,y) * x) = T((x \ 1) * ((y \ x) * y),x). T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). x \ (y * ((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) \ 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). (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) * (y * (1 / y)) = (x * (y * (1 / y))) * y. (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). x != y \ (z * (z \ y)) | x = 1. K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. 1 / (x \ y) = T(1 / (x \ y),(y \ x) * (x \ y)). T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). x != T(1 / (y \ z),(z \ y) * (y \ z)) | x = ((z \ y) * (y \ z)) \ (z \ y). 1 / (x \ y) = ((y \ x) * (x \ y)) \ (y \ x). ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). (x \ y) * (1 / (x \ y)) = x \ (y * L(y \ x,x \ y,y \ x)). x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. (L(x \ 1,x,y) * x) * (1 / x) = (y * x) \ y. (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). T(x,(y * x) \ y) = K(((y * x) \ y) \ (((y * x) \ y) * x),(y * x) \ y) * x. K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ 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 \ (y * ((z * (y \ x)) / z)) = (x \ y) * ((z * ((x \ y) \ 1)) / z). (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). (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 * z) * R((y * z) \ u,w,v5) | x = y * (z * R(z \ (y \ u),w,v5)). (x * R(x \ y,z,u)) * w = x * (w * R(w \ (x \ (y * w)),z,u)). x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. x * y != (z * x) * R((z * x) \ (u * x),w,v5) | T(z * R(z \ u,w,v5),x) = y. T(x * R(x \ y,z,u),y) = (y \ (x * y)) * R((y \ (x * y)) \ y,z,u). (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ (x \ (y * x)),z,u). x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). x * y != (z * u) * R((z * u) \ (w * u),v5,v6) | x \ ((z * R(z \ w,v5,v6)) * u) = y. x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). (x * y) * R((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 * R(y,z,u)) * y = (x * y) * R(y,z,u). ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). x / R(x,y,z) = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = x / R(x,y,z). (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. (x / R(x,y,z)) / x = 1 / R(x,y,z). (1 / R(x,y,z)) * x != u | u = x / R(x,y,z). (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. (x * y) / R(y,z,u) != w | w = (x / R(y,z,u)) * y. (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. T(x,y) = R(T(x,y * R(x,z,u)),y,R(x,z,u)). R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). (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 != (z * (z \ 1)) * u | u / y = x. R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). T(x * y,x) * T(x,y) = (x * y) * R(x,y,T(x,y)). (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). x * y != z * R(z \ T(u,z),w,v5) | x \ T(z * R(z \ u,w,v5),z) = y. x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). T(x,x * R(x \ 1,y,z)) = x. T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. T(x,(y / (x * y)) * x) = x. T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. T(x / y,(y / x) * (x / y)) = x / y. T(x \ 1,x \ R(x,y,z)) = x \ 1. T(x * (y / (x * y)),x) = T(x,y / (x * y)) * T(y / (x * y),x). T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). 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). T(x / (y * x),y * (x / (y * x))) = x / (y * x). (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). x != T(y / (z * y),z) | x = R(z \ 1,z,y). R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). (x * R(x \ 1,y,z)) * u = x * (u * R(u \ (x \ u),y,z)). x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). x * y != 1 * z | z / y = x. 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 * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). (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 \ 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 * ((x \ y) / y) = ((x \ y) / y) / (x \ 1). ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. x != (y \ z) / z | x = R(1 / y,y,y \ z). (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). 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). T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). T(x * (y / (x * y)),x) = x * R(1 / x,x,y). T(x * (y / (x * y)),x) = x * (y / (x * y)). T(x,x * (y / (x * y))) = x. x != T(y * (z / (y * z)),y) | x = T(y,z / (y * z)) * R(y \ 1,y,z). x * (y / (x * y)) = T(x,y / (x * y)) * R(x \ 1,x,y). T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). T(x,x * ((x \ y) / y)) = x. T(x / y,(x / y) * (y / x)) = x / y. T(x,x \ y) = T((x \ y) \ y,x * ((x \ z) / z)). T((x \ y) \ y,x * ((x \ z) / z)) = T(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). 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 * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. x * ((x * R(x \ 1,y,z)) * u) = (x * R(x \ 1,y,z)) * (x * u). (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). (x \ 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). K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. x != y / y | x = 1. K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. (x * (y * R(z,u,w))) / (x * y) = R((x * (y * z)) / (x * y),u,w). R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). L(x \ 1,T(x,y),1 / x) = (T(x,y) * (x \ 1)) / T(x,y). (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). (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 * z) * T(L(u,z,y),w) | x = y * (z * T(u,w)). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). (x * (y * T(y \ 1,x))) * (x \ 1) = x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)). x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). (1 / x) * (x * (y * T(y \ 1,x))) = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) / x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. x != T(y,R(T(z,y),T(z,y) \ 1,y)) | x = (T(z,y) \ z) * y. (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. 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)). (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)). (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)). (x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). x * y != (z * x) * R((z * x) \ x,u,w) | T(z * R(z \ 1,u,w),x) = y. T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z). T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). (x / (T(y,z) * x)) * T(y,z) = T(y * R(y \ 1,T(y,z),x),z). T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). T(x \ 1,x \ L(x,y,z)) * R((x \ 1) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),x \ L(x,y,z)). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). T(x * T(x \ 1,T(x,y)),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | (x \ 1) / (x \ T(x,y)) = z. (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). (x * L(x \ y,z,u)) / y = (x / y) * L((x / y) \ 1,z,u). (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). L(T(x,y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). x != (1 / y) \ ((z * (1 / y)) / z) | x = T(z,R(1 / y,y,z)) / z. x * ((y * (x \ 1)) / y) = T(y,R(1 / x,x,y)) / y. T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). (x \ T(x,x / (x * y))) * x = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. (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 / (x / y),z) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). T(x,y) * T(T(x,y) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). T(x * T(x \ (y / z),u),z) = T(x,z) * T(T(x,z) \ (z \ y),u). T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). T(x,y) * T(T(x,y) \ z,u) = T(x * T(x \ ((y * z) / y),u),y). T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). T(x * T(x \ y,z),u) = T(x,u) * T(T(x,u) \ T(y,u),z). T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). K(x \ (x / T(y,z)),x) = T(y * T(y \ 1,x),z). T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). (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). x * K(y \ (y / T(z,x)),y) = (z * T(z \ 1,y)) * x. (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). T(K(x \ 1,x),y) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). T(K(x,y),z) = K(y \ (y / T(L(x \ 1,x,y),z)),y). K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). K(x \ (x / (((y \ x) \ z) \ z)),x) = T(K(x \ y,x),(y \ x) \ z). T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). (x \ 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(x,y) * T(T(x,y) \ 1,z) != u | u = T(x * T(x \ 1,z),y). T(x,y) * T(T(x,y) \ 1,z) != u | T(x * T(x \ 1,z),y) = u. T(x,y) \ T(x * (x \ 1),y) = T(T(x,y) \ 1,x \ T(x,z)). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. x != T(T(y,z) \ 1,y \ T(y,z)) | x = (y \ T(y,z)) \ (y \ 1). T(x,y) \ 1 = (x \ T(x,y)) \ (x \ 1). (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. T(T(x,y) \ 1,x \ T(x,z)) != u | u = T(x,y) \ 1. T(T(x,y) \ 1,x \ T(x,z)) != u | T(x,y) \ 1 = u. (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 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 \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. R(x,y,z) \ T(x,u) = T(x,u) * (R(x,y,z) \ 1). T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ T(y / x,x). R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). R(x / y,z,u) \ (y \ x) = (y \ x) * (R(x / y,z,u) \ 1). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ (y \ (y * x)). R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). R((x * y) / x,z,u) \ y = y * (R((x * y) / x,z,u) \ 1). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. (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. K(x,(y * x) \ y) * x = T(x,(y * x) \ y). x * y != T(x,(z * x) \ z) | T(K(x,(z * x) \ z),x) = y. T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 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). x != T(1 / ((y \ z) / z),y * ((y \ z) / z)) | x = (y * ((y \ z) / z)) \ y. 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. 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))). 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,R(1 / x,x,y)) = 1 / x. ((x / (y * x)) * y) * (1 / y) = x / (y * x). R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. T(1 / (1 / x),R(1 / x,x,y)) = x. 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)). R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). (((x * (y / z)) / x) * z) * u = (z * u) * ((x * ((z * u) \ (y * u))) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. (x * y) * ((z * ((x * y) \ u)) / z) = (((z * ((u / y) / x)) / z) * x) * y. (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. (x * ((y / z) / x)) * z = (x * z) * ((x * ((x * z) \ y)) / x). (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. x != (y * z) * ((u * ((y * z) \ w)) / u) | x = y * (z * ((u * (z \ (y \ w))) / u)). (x * ((y / z) / x)) * z = x * (z * ((x * (z \ (x \ y))) / x)). x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. (x * ((x / y) / x)) * y = T(x,x / (x * y)). x * y != T(z,z / (z * x)) | T(z * ((z / x) / z),x) = y. T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). x * ((y * (z \ u)) * ((x * ((y * (z \ u)) \ (x \ u))) / x)) = (x * (R(z / y,y,z \ u) / x)) * (y * (z \ u)). (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. x * ((y * (((x / z) * z) \ (u * z))) / y) = ((x / z) * ((y * ((x / z) \ u)) / y)) * z. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). x * y != (z * x) * ((u * ((z * x) \ (w * x))) / u) | T(z * ((u * (z \ w)) / u),x) = y. T(x * ((y * (x \ z)) / y),z) = (z \ (x * z)) * ((y * ((z \ (x * z)) \ z)) / y). (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. x != (y * z) * ((u * ((y * z) \ (y * w))) / u) | x = y * (z * ((u * (z \ w)) / 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 != (y * z) * ((u * ((y * z) \ y)) / u) | x = y * (z * ((u * (z \ 1)) / u)). (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). x * y != (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 * ((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 != K(y,(y / z) / y) | x = z * ((y * (z \ 1)) / y). T(x * ((y * (x \ 1)) / y),z) = T(x,z) * ((y * (T(x,z) \ 1)) / y). T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). T(K(x,y / x),z) = K(x,(x / T(y \ x,z)) / x). K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). K(x,(x / (y \ x)) / x) = T(K(x,y / x),K(y / x,z)). T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). T(K(x,y / x),K(y / x,z)) = K(x,y / x). T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,y). K(K(x,y),K(y,z)) = 1. T(K(x,y),K(z,x)) = K(x,y). K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(x,y) * L(K(z,x),u,w) = L(K(z,x),u,w) * K(x,y). L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). K(x,y) * R(K(z,x),u,w) = R(K(z,x),u,w) * K(x,y). R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. T(K(x,y),K(z,x)) != u | u = K(x,y). T(K(x,y),K(z,x)) != u | K(x,y) = u. (((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). 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)). 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 * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). x * ((x * ((y * (x \ 1)) / y)) * z) = (x * ((y * (x \ 1)) / y)) * (x * z). (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). (1 / x) * (((y * x) / y) / x) = (((y * x) / y) / x) * (1 / x). (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). x != R((y / z) / u,u,z) | x = y / (u * z). ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). (x * y) \ (y * x) = ((1 / x) * ((x * y) \ (y * x))) / (1 / x). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = K(y,x). K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). K(x,y) = ((1 / y) * K(x,y)) / (1 / y). ((1 / x) * K(y,x)) / (1 / x) = K(y,x). K(x,y) * (1 / y) = (1 / y) * K(x,y). (x \ 1) / (1 / x) = K(x \ 1,x). x / (1 / (1 / x)) = K(x,1 / x). x != K(y \ 1,y) | x = (y \ 1) * y. (x \ 1) / (1 / x) = (x \ 1) * x. x != (y \ 1) / (1 / y) | x = y \ (1 / (1 / y)). K(x \ 1,x) = x \ (1 / (1 / x)). x \ (1 / (1 / x)) = K(x \ 1,x). K(x \ 1,x) * (1 / x) = x \ 1. K(x,1 / x) * (1 / (1 / x)) = x. T(1 / (1 / x),x \ 1) = x. ((x \ 1) * x) \ (x \ 1) = 1 / x. T(x,y) = T(T(1 / (1 / x),y),x \ 1). T(T(1 / (1 / x),y),x \ 1) = T(x,y). K(x,x \ 1) = T(x,x \ 1) / x. T(x,x \ 1) / x = K(x,x \ 1). x * K(x \ 1,x) = 1 / (1 / x). x * (T(x,y) \ K(x \ 1,x)) != z | T(x,y) \ (1 / (1 / x)) = z. (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. L(x,1 / x,x) = 1 / (1 / x). L(T(x,y),1 / x,x) = T(1 / (1 / x),y). L(x \ 1,x,x \ 1) = 1 / x. (x * (1 / x)) * (x \ y) = y * L(y \ (x \ y),x,x \ 1). x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). K(x,x \ 1) * x = T(x,x \ 1). ((x \ 1) \ 1) / x = K(x,x \ 1). K(x \ 1,x) * x = 1 / (1 / x). L(x,x \ 1,x) = 1 / (1 / x). (1 / (1 / x)) / (x * x) = R(x \ 1,x,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 / (1 / x) != y | x * K(x \ 1,x) = y. K(x,x \ 1) * x = (x \ 1) \ 1. T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. T(1 / x,K(y,x)) = 1 / x. (K(x,y) * (1 / y)) * z != (1 / y) * K(x,y) | 1 = z. 1 = K(1 / x,K(y,x)). K(1 / x,K(y,x)) = 1. K(x,K(y,x \ 1)) = 1. T(x,K(y,x \ 1)) = x. K(x,y \ 1) * y = y * K(x,y \ 1). T(1 / x,x) = T(x \ 1,K(y,x)). T(x \ 1,K(y,x)) = T(1 / x,x). K(x,y) * L(1 / y,z,u) != w | L(1 / y,z,u) * K(x,y) = w. T(x \ 1,K(y,x)) = x \ 1. ((x \ 1) * K(y,x)) / (x \ 1) != z | z = K(y,x). ((x \ 1) * K(y,x)) / (x \ 1) != z | K(y,x) = z. T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). T(x,x \ 1) = T(x,1 / x). T(x,1 / x) = T(x,x \ 1). T(x,x \ 1) = T(x,R(1 / x,x,y)). T(x,R(1 / x,x,y)) = T(x,x \ 1). T(x,1 / x) = (x \ 1) \ 1. x != T(y,1 / y) | x = R(y,1 / y,y). T(x,x \ 1) = R(x,1 / x,x). R(x,1 / x,x) = T(x,x \ 1). (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). T(x,x \ 1) / x = K(x,1 / x). ((x \ 1) \ 1) / x = K(x,1 / x). L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (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 != T(y,y \ 1) / y | x = K(y,y \ 1). K(x,1 / x) = K(x,x \ 1). (x \ 1) / (1 / x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). x * (1 / x) = K(x,x \ 1). K(x,x \ 1) = x * (1 / x). x != K(y,1 / y) | x = y / (1 / (1 / y)). K(x,x \ 1) = x / (1 / (1 / x)). x / (1 / (1 / x)) = K(x,x \ 1). x != K(y,z) | x = K((u / y) \ u,z). K(x,x \ 1) = K((y / x) \ y,1 / x). K((x / y) \ x,1 / y) = K(y,y \ 1). x * y != K(z,1 / z) | x \ K(z,z \ 1) = y. x \ K(x,x \ 1) = 1 / x. K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1). K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). K(x,x \ 1) != y | x * (1 / x) = y. (1 / (1 / x)) * K(x,x \ 1) = x. K(x,x \ 1) * (1 / (1 / x)) = x. x != T(y,z) * (1 / T(y,z)) | x = T(y * ((T(y,z) * (y \ 1)) / T(y,z)),z). 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). x != (y \ z) * (1 / (y \ z)) | x = y \ (z * L(z \ y,y \ z,z \ y)). 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). K(x,x \ 1) \ 1 = K(1 / x,x). R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. 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)). (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 * (1 / x) != y | y = K(x,x \ 1). x * (1 / x) != y | K(x,x \ 1) = y. x != ((y \ 1) \ 1) / y | x = (y \ 1) \ (1 / y). K(x,1 / x) = (x \ 1) \ (1 / x). (x \ 1) \ (1 / x) = K(x,1 / x). K(x,x \ 1) \ x = 1 / (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. x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). (1 / x) / K(x,1 / x) = x \ 1. R(1 / x,x,1 / x) = x \ 1. R(x \ 1,x,y) = R(y / (x * y),x,1 / x). R(x / (y * x),y,1 / y) = R(y \ 1,y,x). T(x,y / (x * y)) = T(x,x \ 1). T(x,y / (x * y)) = (x \ 1) \ 1. K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. T(x / y,y / x) = ((x / y) \ 1) \ 1. K(x,1 / x) != y | K(x,x \ 1) = y. x != K(y,y \ 1) * y | x = (y \ 1) \ 1. x * K(x,x \ 1) = (x \ 1) \ 1. x != K(y,y \ 1) * y | x = T(y,y \ 1). x * K(x,x \ 1) = T(x,x \ 1). x * y != K(z,z \ 1) * z | x \ ((z \ 1) \ 1) = y. x \ ((x \ 1) \ 1) = K(x,x \ 1). x * y != (z \ 1) \ 1 | x \ T(z,u / (z * u)) = y. x \ T(x,y / (x * y)) = K(x,x \ 1). T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. x != y \ ((y \ 1) \ 1) | x = K((y \ 1) \ 1,y \ 1). K(x,x \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. x != L(T(y,z),1 / y,y) | x = K(y,1 / y) \ (y * (T(y,z) / y)). T(1 / (1 / x),y) = K(x,1 / x) \ (x * (T(x,y) / x)). K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). L(R(x \ 1,x,x),y,z) * (x * x) = (x * x) * L((x * x) \ (1 / (1 / x)),y,z). (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). 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. T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). x != (y \ 1) / (1 / y) | x = K(y \ 1,y). K(1 / x,1 / (1 / x)) = K(x \ 1,x). K(1 / x,(1 / x) \ 1) = K(x \ 1,x). K(1 / x,x) = K(x \ 1,x). x != K(1 / y,y) | x = K(y,y \ 1) \ 1. K(x \ 1,x) = K(x,x \ 1) \ 1. K(x,x \ 1) \ 1 = K(x \ 1,x). x * K(1 / x,x) = 1 / (1 / x). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). T(K(x,y),y \ 1) != z | K(x,y) = z. R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). T((x * y) / x,y \ 1) = T((x * y) / x,1 / y). T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). L(x \ 1,y,z) / (1 / x) = L(1 / x,y,z) * (1 / (1 / x)). L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). T(x,1 / T(x,y)) = T((y * T(x,y)) / y,T(x,y) \ 1). T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. x != L((y \ z) \ 1,y \ z,y) | x = z \ y. T(x \ y,K(z,y \ x)) = x \ y. K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,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. K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,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) | y = z * u. K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. K(x,x \ 1) * (x \ 1) = 1 / x. x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. (x \ 1) * K(x,x \ 1) = 1 / x. (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). x * (K(x,x \ 1) * y) = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). x \ (K(x,x \ 1) * y) != z | z = K(x,x \ 1) * (x \ y). x \ (K(x,x \ 1) * y) != z | K(x,x \ 1) * (x \ y) = z. (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. (1 / x) * y != K(x,x \ 1) * z | x \ L(y,1 / x,x) = z. K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). x != T(y,y / (y * T(y,z))) | x = y * (T(y,T(y,z) \ 1) / y). T(x,T(x,y) \ 1) = x * (T(x,T(x,y) \ 1) / x). x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. x != K(y,y \ 1) * (y * z) | x = y * (K(y,y \ 1) * z). T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). 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 * (1 / y) | x = K(y,y \ 1). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). R(x \ 1,x,y) * K(x,x \ 1) = y / (x * y). x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). T(K(T(x,y),1 / x),y) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). L(x,K(y \ 1,y),1 / y) = L(x,1 / y,K(1 / y,(1 / y) \ 1)). L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). (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). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). (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)). (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 != (y * (z * L(z \ 1,u,w))) * z | x = (y * z) * (z * L(z \ 1,u,w)). (x * ((y * x) \ y)) * K(x \ 1,x) = ((x \ 1) * x) * (x * L(x \ 1,x,y)). ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). (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). L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). x != L(L(T(y \ 1,z),y,u),u * y,1 / (u * y)) | x = T((1 / (u * y)) * u,z). R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. x != L(y,z,u) \ (y * w) | x = y * (L(y,z,u) \ w). K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))). (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). (x * (T(y,x) / y)) \ (x * z) = x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z). x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,x) = L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)). L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). x != L(y,T(y,z) \ y,T(y,z)) | x = T(y,z) * T(T(y,z) \ y,y). L(x,T(x,y) \ x,x) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). x != T(y,z) * T(T(y,z) \ y,y) | x = (T(y,z) \ y) * T(y,z). L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). (x * (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 * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. x * (L(x \ 1,y,z) * x) = (L(x \ 1,y,z) * x) * x. (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). T(x,L(x \ 1,y,z) * x) = x. T(x \ y,(y \ x) * (x \ y)) = x \ y. T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). T(x,T(T(1 / x,R(x,y,z)),x)) = T(x,R(x,y,z) \ (R(x,y,z) / x)). T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). (x \ 1) * T(x,(y * x) \ y) = K(x \ 1,x * ((y * x) \ y)). K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. x != (1 / y) * (y * z) | x = L(z,y,1 / y). K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). K(x \ 1,x) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). L(x * K(y \ 1,y),y,1 / y) = K(y \ 1,y) * L(T(x,K(y \ 1,y)),y,1 / y). K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). (x \ 1) * R(x,y,z) = T((x \ 1) * R(x,y,z),x \ 1). T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). T(R(x,y,z),x \ 1) = R(T(x,T(x \ 1,R(x,y,z))),y,z). R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). (x * (y * T(y \ T(z,x),u))) / x = ((x * y) / x) * T(((x * y) / x) \ z,u). ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. T(x * (1 / y),y) = (y * T(y \ x,y)) * (1 / y). (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). (x * y) * (1 / y) = T((y * x) * (1 / y),y). T((x * y) * (1 / x),x) = (y * x) * (1 / x). T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) != z | z = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) != z | T(x,y) * ((T(x,y) / x) \ (1 / x)) = z. T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). 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). 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 * L(x \ y,z,u),w) = T(x,w) * L(T(x,w) \ T(y,w),z,u). T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,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). T(x,y) * z != T(x * (1 / x),y) | z = (T(x,y) \ x) / x. (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) | x = T(y,z) \ 1. (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) \ 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(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) | x = K(T(y,z),T(y,z) \ 1). T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). x * y != K(x,x \ 1) | y = 1 / x. (T(x,y) / x) \ (1 / x) = 1 / T(x,y). (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). T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). T(x,y) \ 1 = 1 / T(T(x,x \ 1),y). 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. 1 / T(x \ 1,y) = T(1 / x,y) \ 1. 1 / T(x,y) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ 1 = 1 / T(x,y). (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). 1 / (1 / T(x,y)) = T(1 / (1 / x),y). x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. ((x \ y) \ 1) \ 1 = T(((y / x) \ 1) \ 1,x). T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. 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). T(x,T(x,y) \ 1) = (x \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = (((y / x) \ 1) \ 1) * x. (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((R(z / x,x,y) \ 1) \ 1) * (x * y). ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. x != (y \ 1) \ 1 | x = y * K(y,y \ 1). T(x,T(x,y) \ 1) = x * K(x,x \ 1). x != (y \ z) \ z | x = T(y,y \ z). T(x,T(x,y) \ 1) = T(x,x \ 1). T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. T(K(x,x \ 1),y) = K(x,x \ 1). T(x,K(y,y \ 1)) = x. x * y != T(K(z,z \ 1),u) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. x * K(y,y \ 1) = K(y,y \ 1) * x. K(x,x \ 1) * y = y * K(x,x \ 1). x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. T(x,K(y,y \ 1)) != z | z = x. T(x,K(y,1 / y)) = x. T(x,K(y \ 1,y)) = x. x * K(y,1 / y) = K(y,1 / y) * x. K(x,1 / x) * y = y * K(x,1 / x). x * K(y,1 / y) != z | K(y,1 / y) * x = z. 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). K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). x != T(K(y \ 1,y),z) | x = K(y \ (y / T(y,z)),y). K(x \ 1,x) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = K(x \ 1,x). T((x \ 1) * x,y) = K(x \ 1,x). x != T(y,((z * y) / z) \ 1) | x = T(y,z / (z * y)). (x \ 1) \ 1 = T(x,y / (y * x)). T(x,y / (y * x)) = (x \ 1) \ 1. T(x,y / (y * x)) = T(x,x \ 1). T(x \ y,x / y) = ((x \ y) \ 1) \ 1. (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). x != L(y,z,u) * K(y,y \ 1) | x = y * (L(y,z,u) * (1 / y)). K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). R(x,y,K(z,z \ 1)) = ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y). ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. x != (y / z) * K(z \ 1,z) | x = y * T(y \ (y / z),z). K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). x * y != K(z \ (z / T(z,u)),z) | x \ K(z \ 1,z) = y. T(x,y) \ K(x \ 1,x) = T(T(x,y) \ 1,x). T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. x * (1 / (1 / (x \ y))) = (1 / (1 / (y / x))) * x. (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. x * (T(x,y) \ K(x \ 1,x)) = (T(x,y) \ 1) * x. x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / 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. x * (y * K(z \ 1,z)) != x * u | K(z \ 1,z) * y = u. (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. (((x / y) \ 1) \ 1) * y != z | z = y * (((y \ x) \ 1) \ 1). (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). (1 / (1 / (x / y))) * y != z | z = y * (1 / (1 / (y \ x))). (1 / (1 / (x / y))) * y != z | y * (1 / (1 / (y \ x))) = z. T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). x != L(1 / y,z,u) * (1 / (1 / y)) | x = L(y \ 1,z,u) / (1 / y). K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = (x * y) * (1 / (1 / L(y \ z,y,x))). (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. (x \ 1) * ((x \ R(x,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). (x \ R(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ R(x,y,z)) \ 1). (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). x \ (x * (y * T(y \ 1,x))) = (x * (y * T(y \ 1,x))) * (x \ 1). (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). x != y \ (y * z) | x = z. (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). (x * (y \ T(y,x))) * (x \ 1) = (y \ 1) * T((y \ 1) \ 1,x). (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). (x * K(y,x)) * (x \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). x \ T(x,y) = (y * (x \ T(x,y))) * (y \ 1). (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). K(x,y) = (y * K(x,y)) * (y \ 1). (x * K(y,x)) * (x \ 1) = K(y,x). K(x,1 / y) / y = (1 / y) * K(x,1 / y). (1 / x) * K(y,1 / x) = K(y,1 / x) / x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). (x * (y * T(y \ 1,x))) / x = L(y * T(y \ 1,x),x,1 / x). L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. L(K(x,y),y,1 / y) = (y * (((y * x) \ y) * T(((y * x) \ y) \ 1,y))) / y. (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). (x * K(y,x)) / x = L(K(y,x),x,1 / x). L(K(x,y),y,1 / y) = (y * K(x,y)) / y. ((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. K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),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). L(x,y,1 / y) * K(y \ 1,y) = L(x * K(y \ 1,y),y,1 / y). L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). x != (y \ 1) * (z * T(z \ ((y \ 1) \ u),w)) | x = (y \ T(y * (u / z),w)) * z. K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). ((T(x,y) \ x) / x) * K(x \ 1,x) != z | (x \ 1) * (T(x,y) \ x) = z. K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). x != K(y \ 1,y) * (y * L(y \ 1,y,z)) | x = (y * ((z * y) \ z)) * K(y \ 1,y). 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) | x = L(y \ 1,y,z) * y. (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 \ 1) * (x * L(x \ 1,x,y)) = (y * x) \ y. (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). (x * y) \ x = (y \ 1) * (y * ((x * y) \ x)). (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | 1 = z. 1 = K(x \ 1,x * ((y * x) \ y)). K(x \ 1,x * ((y * x) \ y)) = 1. x * y != K(z \ 1,z * ((u * z) \ u)) | x \ 1 = y. (x \ 1) \ 1 = T(x,(y * x) \ y). T(x,(y * x) \ y) = (x \ 1) \ 1. T(1 / (1 / x),(y * x) \ y) / 1 = x. T(x,(y * x) \ y) = T(x,x \ 1). x * y != T(z,(u * z) \ u) | ((z \ 1) \ 1) / y = x. ((x \ 1) \ 1) / x = K(x,(y * x) \ y). K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). T(1 / (1 / x),(y * x) \ y) = x. T(1 / (1 / (x \ y)),y \ x) = x \ y. x != ((y \ 1) \ 1) / y | x = K(y,y \ 1). K(x,(y * x) \ y) = K(x,x \ 1). K(x \ y,y \ x) = K(x \ y,(x \ y) \ 1). K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). K(x,y \ (y / x)) = K(x,x \ 1). K(x,(y * x) \ y) \ 1 = K(x \ 1,x). T(K(x,(y * x) \ y),z) = K(x,x \ 1). K(x,x \ 1) = K((y / x) \ y,z \ (z / x)). K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). 1 / T(x \ y,y \ x) = (x \ y) \ 1. T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = y * K((y \ x) \ 1,y \ x). x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). T(K(x \ y,x),(y \ x) \ 1) = K(x \ (x / T(y \ x,x \ y)),x). K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). K(x \ y,(x \ y) \ 1) = K(x \ y,T(x / y,T(y,x))). K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). T(x,K(y \ z,z \ y)) = x. x * K(y \ z,z \ y) = K(y \ z,z \ y) * x. K(x \ y,y \ x) * z = z * K(x \ y,y \ x). T(x / y,x \ y) = ((x / y) \ 1) \ 1. T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. T(K(x,y),K(y,x)) = T(K(x,y),K(x,y) \ 1). T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). (K(x,y) \ 1) \ 1 = T(K(x,y),K(y,x)). T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. K(x,y) = (K(x,y) \ 1) \ 1. (K(x,y) \ 1) \ 1 = K(x,y). 1 / (1 / K(x,y)) = K(x,y). x != K(y \ z,(y \ z) \ 1) | x = K(y \ z,z \ y). K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. x != K(y \ (y / T(z \ y,u)),y) | x = T(K(y \ z,y),u). T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). T(K(x,y),((y * x) \ y) \ 1) = T(K(y \ (y * x),y),y \ (y * x)). T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). x != T(K(y \ (y / (z \ 1)),y),T(z,y) \ z) | x = ((z \ T(z,y)) \ 1) \ 1. x \ T(x,y) = ((x \ T(x,y)) \ 1) \ 1. ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. 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). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). x != y * (T((y \ z) * y,y) / y) | x = T(z,y). K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). T(x,y) * K(y,y \ 1) = T(x * K(y,y \ 1),y). T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). K(x,x \ 1) * T(y,x) = T(K(x,x \ 1) * y,x). T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). (1 / K(x,x \ 1)) * T(y,x) = T((1 / K(x,x \ 1)) * y,x). T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). (1 / x) \ (y * K(1 / x,x)) = ((1 / x) \ y) * K(1 / x,(1 / x) \ 1). ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). x * (y * K(x,x \ 1)) = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). ((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). (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. L(x,y,K(x,x \ 1)) = x. L(1 / x,y,K(x \ 1,x)) = 1 / x. L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). T(K(x \ 1,x) * y,x) = (1 / K(x,x \ 1)) * T(y,x). (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). K(x \ 1,x) * T(y,x) = T(K(x \ 1,x) * y,x). T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). L(x,y,K(x \ 1,x)) = x. L(T(x,y),z,K(x \ 1,x)) = T(x,y). T(x,K(x \ 1,x) * y) = T(x,y). T(x,(x \ 1) * y) = T(x,L(x \ y,x,x \ 1)). T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). (x * y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)). (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). x * (y * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). R(x,y,K(x \ 1,x)) = x. (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). 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)). 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)). (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). x * ((K(x,y) \ y) * K(x,y)) = (T(y,K(x,y)) * x) * K(x,y). (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u). (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). x != K(y \ (y / z),y) | x = z * T(z \ 1,y). L(x * T(x \ 1,y),z,u) = L(x,z,u) * T(L(x,z,u) \ 1,y). L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(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,((y * z) \ y) \ 1) | x = K((y * z) \ y,z). L(K(x,x \ 1),x,y) \ 1 = K((y * x) \ y,x). K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. 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) | x = R(y,z,u). K(x \ (x / R(y,z,u)),x) = R(y * T(y \ 1,x),z,u). R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. R(x * T(x \ 1,y),z,u) = R(x,z,u) * T(R(x,z,u) \ 1,y). R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). 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(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. (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) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). L(1 / x,L(x,y,z),1 / x) * x = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). x != y * ((L(y,z,u) * (y \ 1)) / L(y,z,u)) | x = K(L(y,z,u),1 / y). x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). (x \ y) \ L(1 / (y \ x),y \ x,y) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). x != ((y * z) \ y) * T(((y * z) \ y) \ 1,y) | x = K(z,y). (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). K(x \ (L(x,y,z) \ x),x) = L(T(K(x \ 1,x),L(x,y,z) \ x),y,z). L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). 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. K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). (x \ 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) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ 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 \ (T(1 / x,y) \ 1) = T(1 / x,y) \ (1 / x). T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). x != (y \ 1) \ (T(y,z) \ 1) | x = (y \ T(y,z)) \ 1. T(x,y) \ x = (x \ T(x,y)) \ 1. (x \ T(x,y)) \ 1 = T(x,y) \ x. x != (y \ T(y,z)) \ 1 | x = 1 / (y \ T(y,z)). T(x,y) \ x = 1 / (x \ T(x,y)). 1 / (x \ T(x,y)) = T(x,y) \ x. (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). ((x / y) \ (y \ x)) \ 1 = T(x / y,y) \ (x / y). T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). (x \ (x * K(x,y))) \ 1 = T(x,R(y,x,(y * x) \ x)) \ x. T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. x * ((T(x,y) \ x) \ 1) = 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 != T(1 / y,z) \ (1 / y) | x = y \ (T(1 / y,z) \ 1). (x * T(x \ 1,y)) \ 1 = x \ (T(1 / 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(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). x != y * (z * L(z \ (y \ (u * z)),w,v5)) | x = (y * L(y \ u,w,v5)) * z. K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. x != y * (z * R(z \ (y \ (u * z)),w,v5)) | x = (y * R(y \ u,w,v5)) * z. K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. 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 * x),z,u) = (x \ R(x * y,z,u)) * x. (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). L(T(x,y),y,K(z,z \ 1)) = R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)). R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). ((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). (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) * ((T(x,y) / x) \ (1 / x)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). x != T(y,z) * (T(u / (u / y),z) \ 1) | x = T(u / (u / y),z) \ T(y,z). T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. L(x \ x,y,z) = K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)). K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). x != L(1,y,z) | x = 1. 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 * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. x != y * (x * L(x \ 1,z,u)) | (x * L(x \ 1,z,u)) \ x = y. x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). K(R(x,y,z),x \ 1) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). (x \ 1) * K(R(x,y,z),x \ 1) = (x \ R(x,y,z)) / R(x,y,z). (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). (x \ 1) * K(R(x,y,z),x \ 1) != u | u = (x \ R(x,y,z)) / R(x,y,z). (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | u = K(R(x,y,z),x \ 1). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). K((1 / x) \ (T(x,y) / x),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). x != L(1 / (y \ z),y \ z,y) * ((z \ y) \ 1) | x = (z \ y) \ L(1 / (y \ z),y \ z,y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). x != ((y \ z) \ 1) * ((((y \ z) \ 1) \ (z \ y)) / (z \ y)) | x = (y \ z) \ L(1 / (z \ y),z \ y,z). K(x \ y,y \ x) = (y \ x) \ L(1 / (x \ y),x \ y,x). (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). K(x,y / (x * y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). x != K(T(y,R(y \ 1,y,z)),R(y \ 1,y,z)) | x = y \ T(y,z / (y * z)). K(x,y / (x * y)) = x \ T(x,y / (x * y)). x \ T(x,y / (x * y)) = K(x,y / (x * y)). x != y \ T(y,z / (y * z)) | x = K(y,y \ 1). K(x,y / (x * y)) = K(x,x \ 1). K(x / y,y / x) = K(x / y,(x / y) \ 1). K(x / y,(x / y) \ 1) = K(x / y,y / x). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). x != (y \ 1) * R((y \ 1) \ 1,z,u) | x = y \ R(y,z,u). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). x * ((y * z) * R((y * z) \ y,u,w)) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). L(x * R(x \ 1,y,z),u,w) = L(x,u,w) * R(L(x,u,w) \ 1,y,z). L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). x != L(y,z,u) * R(L(y,z,u) \ 1,L(y,z,u),y \ 1) | x = ((y \ 1) / (y \ L(y,z,u))) * L(y,z,u). L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). L(x * T(x \ 1,L(x,y,z)),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). x != L(y * T(y \ 1,L(y,z,u)),z,u) | x = K(L(y,z,u) \ 1,L(y,z,u)). ((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) | x = y \ 1. (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. (L(x,y,z) / x) \ (1 / x) = L(1 / (1 / x),y,z) \ 1. L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). x != y * (z * ((y * (z \ (y \ u))) / y)) | x = (y * ((u / z) / y)) * z. (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). 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 * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). x != (y * z) * ((u * ((y * z) \ (w * z))) / u) | x = (y * ((u * (y \ w)) / u)) * z. (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. x * (y * z) != (u * y) * z | x = R(u,y,z). R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). K(x,(x / R(y,z,u)) / x) = R(y * ((x * (y \ 1)) / x),z,u). R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). R(x,y,z) * (1 / R(x,y,z)) = R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x * R(x \ 1,y,z),u,w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). x != R(y,z,u) * R(R(y,z,u) \ 1,R(y,z,u),y \ 1) | x = ((y \ 1) / (y \ R(y,z,u))) * R(y,z,u). 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,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). a(1 / R(x,y,z),x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). R(x * T(x \ 1,x),y,z) = a(1 / R(x,y,z),x,x \ 1). a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,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) | x = R(y,z,u) \ 1. (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x * ((y * z) * ((u * ((y * z) \ y)) / u)) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). L(x * ((y * (x \ 1)) / y),z,u) = L(x,z,u) * ((y * (L(x,z,u) \ 1)) / y). L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). L(x,y,z) * (1 / L(x,y,z)) = L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). L(x * L(x \ 1,y,z),u,w) = L(x,u,w) * L(L(x,u,w) \ 1,y,z). L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(K(L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). x != L(K(L(y,z,u),1 / y),z,u) | x = K(L(y,z,u),L(y,z,u) \ 1). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). x != (L(y,z,u) / y) \ (1 / y) | x = L(1 / (1 / y),z,u) \ 1. 1 / L(x,y,z) = L(1 / (1 / x),y,z) \ 1. L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). 1 / (1 / L(x,y,z)) = L(1 / (1 / x),y,z). L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). L(1 / x,y,z) = 1 / (1 / L(x \ 1,y,z)). 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). 1 / (1 / ((x * y) \ x)) = L(1 / y,y,x). L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). 1 / (1 / (x \ y)) = L(1 / (y \ x),y \ x,y). L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). L(L(1 / x,y,z),u,w) = 1 / (1 / L(L(x \ 1,y,z),u,w)). 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). (L(x,y,z) \ 1) \ 1 = L((x \ 1) \ 1,y,z). L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. x != L(1 / (y \ z),y \ z,y) | x = (z \ y) * K(y \ z,z \ y). 1 / (1 / (x \ y)) = (x \ y) * K(y \ x,x \ y). (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). x != L(1 / (y \ z),y \ z,y) | x = L(z \ y,y \ z,z \ y). 1 / (1 / (x \ y)) = L(x \ y,y \ x,x \ y). L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). x * (1 / (1 / (x \ y))) = y * K(y \ x,(y \ x) \ 1). x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). x * y != 1 / (1 / x) | y = K(x \ 1,x). K(x \ y,y \ x) = K((y \ x) \ 1,y \ x). K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). T(L(x,y,z),u) = T(T(1 / (1 / L(x,y,z)),u),1 / x). T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). (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) * K(y,y \ 1) = x * T(y,(x * y) \ x). (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). (x * y) * K(y,y \ 1) = x * T(y,y \ 1). (x * y) * K(y,(z * y) \ z) = x * T(y,(x * y) \ x). K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). x * K(y,y \ 1) = (x / y) * ((y \ 1) \ 1). (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). x != (y * z) * K(z,z \ 1) | x = (y * K(z,z \ 1)) * z. x * ((y \ 1) \ 1) = (x * K(y,y \ 1)) * y. (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). K(x,x \ 1) * (y * x) = y * T(x,x \ 1). x * K(y,y \ 1) = (x / y) * T(y,y \ 1). (x / y) * T(y,y \ 1) = x * K(y,y \ 1). (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). x * y != (T(z,u) \ 1) * ((z \ 1) \ 1) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / x = (T(x,y) \ 1) * K(x,x \ 1). (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. x * y != (z / T(u,u \ w)) * ((u \ w) \ w) | z / y = x. x / y = (x / T(y,y \ 1)) * K(y,y \ 1). (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. x * ((y \ 1) \ 1) != z * y | K(y,y \ 1) * x = z. (T(x,y) \ 1) * z != (T(x,y) \ x) / x | z = K(x,T(x,y) \ 1). K(x,x \ 1) = K(x,T(x,y) \ 1). K(x,T(x,y) \ 1) = K(x,x \ 1). K(T(x,y),x \ 1) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). x != K(T(y,z),T(y,z) \ 1) | x = K(T(y,z),1 / y). K(T(x,y),x \ 1) = K(T(x,y),1 / x). K(T(x,y),1 / x) = K(T(x,y),x \ 1). K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(z * y) \ z). x != K(((y * z) \ y) \ 1,(y * z) \ y) | x = L(K(z,z \ 1),z,y). K(x,(y * x) \ y) = L(K(x,x \ 1),x,z). L(K(x,x \ 1),x,y) = K(x,(z * x) \ z). x != K(y,(z * y) \ z) | x = K(y,y \ 1). L(K(x,x \ 1),x,y) = K(x,x \ 1). K((x * y) \ x,y) = K(y,(z * y) \ z) \ 1. L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). x != K(y,(z * y) \ z) \ 1 | x = K(y \ 1,y). K((x * y) \ x,y) = K(y \ 1,y). K(x \ (x / y),y) = K(y \ 1,y). K((x * y) \ y,T(x,y)) = K(T(x,y) \ 1,T(x,y)). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). K(((x * y) / x) \ T(x,y),T(y / x,T(x,y))) = K(T(y / x,T(x,y)) \ 1,T(y / x,T(x,y))). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,y \ (x * y)). K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). x != K(1 / y,(1 / y) \ 1) | x = K(y \ 1,y). L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). R(x,y \ 1,y) / y = x * (1 / y). (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). (x * (1 / y)) * y = R(x,y \ 1,y). R(x,y \ 1,y) = R(x,1 / y,y). R(x,1 / y,y) = R(x,y \ 1,y). x * y = R(x / (1 / y),y \ 1,y). R(x / (1 / y),y \ 1,y) = x * y. x != R(T(y / (1 / z),u),1 / z,z) | x = T(y * z,u). R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). 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 \ 1,x) * (y * (1 / x)) = y * (x \ 1). R(x,1 / y,K(y \ 1,y)) = x. x * K(y \ 1,y) = (x / (1 / y)) * (y \ 1). (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). R(x,1 / (1 / y),K(y,y \ 1)) = x. x != R(y / (1 / (1 / z)),1 / (1 / z),K(z,z \ 1)) | x = (y * K(z,z \ 1)) / z. x / (1 / (1 / y)) = (x * K(y,y \ 1)) / y. (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). x * y = (x * (1 / (1 / y))) * K(y,y \ 1). (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. x != (y / (z / u)) * (u \ z) | x = (y * (u \ z)) / (z / u). x * K(y \ 1,y) = (x * (y \ 1)) / (1 / y). (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). x != ((y / (z \ u)) / (u / z)) * (z \ u) | x = y / (u / z). (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). x != (y * K(z,z \ 1)) / z | x = (y / z) * K(z,z \ 1). x / (1 / (1 / y)) = (x / y) * K(y,y \ 1). (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). x != (y / z) * K(z,z \ 1) | x = y * (1 / (1 / (y \ (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))). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). x * y != z * (1 / (1 / (z \ (z / u)))) | (z / (1 / (1 / u))) / y = x. (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). x * (1 / (1 / (x \ y))) = x / (1 / (1 / (y \ x))). x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). (x / (1 / y)) / x = 1 / (1 / ((x / (y \ 1)) / x)). 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). (x \ (x / y)) \ 1 = 1 / (x \ (x / ((y \ 1) \ 1))). 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. ((x / (1 / y)) / x) \ 1 = 1 / ((x / (y \ 1)) / x). 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). x / L(y,y \ 1,x) = x * (1 / y). K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). x != K(y \ (y / L(z,u,w)),y) | x = L(z * T(z \ 1,y),u,w). K(1 / x,y) = L(x * T(x \ 1,y),x \ 1,y). L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). x * (((x \ y) \ 1) \ 1) = x / (((y \ x) \ 1) \ 1). x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). x \ (x / ((y \ 1) \ 1)) = T(x \ (x / y),y). T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. x != y * K(z \ 1,z) | x = K(z \ 1,z) * y. (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. x * y = (x * ((y \ 1) \ 1)) * K(y \ 1,y). (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. x * y = (x * T(y,y \ 1)) * K(y \ 1,y). (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. (x \ T(x * y,z)) * x = T(y * ((x \ 1) \ 1),z) * K(x \ 1,x). T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. x * y = K(y \ 1,y) * (x * T(y,y \ 1)). K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. x * K(y \ 1,y) != (z * K(y \ 1,y)) * y | x = z * y. (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 * y) * (1 / y) = (x * T(y,y \ 1)) * (y \ 1). (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). K(x,x \ 1) * (y * K(x \ 1,x)) = y. (x * K(y \ 1,y)) * K(y,y \ 1) = x. x * ((y \ 1) \ 1) != (K(y,y \ 1) * z) * y | x = z. (K(x,x \ 1) * y) * K(x \ 1,x) = y. x * ((y \ 1) \ 1) != (z * K(y,y \ 1)) * y | x = z. (x * K(y,y \ 1)) * K(y \ 1,y) = x. (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. K(x \ 1,x) * (K(x,x \ 1) * y) = y. x != K(y,y \ 1) * z | x * K(y \ 1,y) = z. K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. x != K(y,y \ 1) * z | K(y \ 1,y) * x = z. K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). x * K(y,y \ 1) != z / (1 / (1 / y)) | x = z / y. (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. (K(x \ 1,x) * y) * K(x,x \ 1) = y. (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). 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. R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. K(x \ 1,x) * (y * K(x,x \ 1)) = y. R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). x * K(y,y \ 1) != z / (y * z) | x = R(y \ 1,y,z). K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). x != y * K(z,z \ 1) | K(z \ 1,z) * x = y. x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. 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. L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). K(x,x \ 1) * y = (y / (x \ 1)) * (1 / x). (x / (y \ 1)) * (1 / y) = K(y,y \ 1) * x. K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). x * y != (z / (1 / (1 / u))) * K(u \ 1,u) | (z / u) / y = x. (x / y) / (y \ 1) = (x / (1 / (1 / y))) / (1 / y). (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). x * K(y,y \ 1) != (z * y) * (1 / y) | x = R(z,y,1 / y). (x * y) * (y \ 1) = R(x,y,1 / y). ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). x \ R(x,y \ 1,y) != z | a(x,y \ 1,(y \ 1) \ 1) = z. x * (y / (z * y)) != R(z \ 1,z,y) | x = K(y / (z * y),z). K(x \ 1,x) = K(y / (x * y),x). K(x / (y * x),y) = K(y \ 1,y). K(x / y,y / x) = K((y / x) \ 1,y / x). K((x / y) \ 1,x / y) = K(y / x,x / y). x != K(y / z,z / y) | x = K(y / z,(y / z) \ 1). 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 * (y / (y * x))) * (x \ 1) = ((y / (y * x)) * x) * (1 / x). ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). x != K(y,z / (y * z)) | x = K(y,y \ 1). K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. L(x,y,K(y,y \ 1)) = x. T(x,x \ 1) * y = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. x * y != K(z,z \ 1) * (z * u) | (T(z,z \ 1) * u) / y = x. (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. x != L(y,1 / z,K(1 / z,(1 / z) \ 1)) | x = L(y,K(z \ 1,z),1 / z). x = L(x,K(y \ 1,y),1 / y). L(x,K(y \ 1,y),1 / y) = x. L(x,1 / y,K(y \ 1,y)) = x. (1 / x) * (x * y) = L(y,x,x \ 1). L(x,y,1 / y) = L(x,y,y \ 1). x * y != L(z,K(u \ 1,u),1 / u) | x \ z = y. (1 / x) \ L(y,x,x \ 1) = x * y. L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. x != L((1 / y) \ z,1 / y,K(y \ 1,y)) | x = K(y \ 1,y) * ((y \ 1) \ z). (1 / x) \ y = K(x \ 1,x) * ((x \ 1) \ y). K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. L(x,1 / (1 / y),K(y,y \ 1)) = x. (x \ 1) * y = K(x \ 1,x) * ((1 / x) * y). K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. L(x \ y,x,x \ 1) = (1 / x) * y. T((1 / x) * y,z) = L(T(x \ y,z),x,x \ 1). L(T(x \ y,z),x,x \ 1) = T((1 / x) * y,z). (1 / x) * (y * x) = L(T(y,x),x,x \ 1). L(T(x,y),y,y \ 1) = (1 / y) * (x * y). L(x,y \ 1,y) = L(x,y \ 1,(y \ 1) \ 1). L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). (1 / x) * L(y,x \ 1,x) = L((x \ 1) * y,x,x \ 1). L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. x != L((1 / (1 / y)) \ z,1 / (1 / y),K(y,y \ 1)) | x = y \ (K(y,y \ 1) * z). (1 / (1 / x)) \ y = x \ (K(x,x \ 1) * y). x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. x != (y / (z \ y)) * u | x = z * u. L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. T(x,(1 / x) * y) = T(x,(x \ 1) * y). T(x \ 1,x * y) = T(x \ 1,((x \ 1) \ 1) * y). T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). x * y = T(x,x \ 1) * (K(x \ 1,x) * y). T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. T(x,x \ 1) \ y = x \ (y * K(x \ 1,x)). x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. R(x,K(x,x \ 1),y) = x. R(1 / x,K(x \ 1,x),y) = 1 / x. (1 / x) * T(R(1 / x,K(x \ 1,x),y) \ 1,z) = R((1 / x) * T((1 / x) \ 1,z),K(x \ 1,x),y). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. R(x,K(y \ 1,y),(1 / y) * z) = ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z). ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. K(x \ 1,x) * y = x * (((x \ 1) \ 1) \ y). x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. x != (y * z) * K(y,y \ 1) | x = y * (z * K(y,y \ 1)). ((x \ 1) \ 1) * y = x * (y * K(x,x \ 1)). x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. x != K(y \ 1,y) * z | x = z * K(y \ 1,y). (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). (x \ 1) * (x * ((y * (x \ z)) / y)) = K(x \ 1,x) * ((y * ((1 / x) * z)) / y). K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). x \ L(y,1 / x,x) = (x \ 1) * y. x * y != K(z,z \ 1) * ((z \ 1) * u) | ((1 / z) * u) / y = x. ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. L(x,1 / y,y) = L(x,y \ 1,y). L(x,y,y \ 1) = L(x,(y \ 1) \ 1,y \ 1). L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). x != ((1 / y) * z) * K(y \ 1,y) | x = (1 / y) * (z * K(1 / y,(1 / y) \ 1)). (x \ 1) * y = (1 / x) * (y * K(1 / x,(1 / x) \ 1)). (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. x * y != K(z,z \ 1) * (z \ u) | ((1 / (1 / z)) \ u) / y = x. ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). x != (y * z) * K(y \ 1,y) | x = y * (z * K(y \ 1,y)). (1 / (1 / x)) * y = x * (y * K(x \ 1,x)). 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 * y != z * (z \ u) | x \ u = 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). K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)). (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. x \ ((1 / x) \ y) = ((x \ 1) \ 1) \ ((x \ 1) \ y). ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). (x \ 1) * y = L(((x \ 1) \ 1) \ y,x,x \ 1). L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. x != y * (z * K(u \ 1,u)) | x = y * (K(u \ 1,u) * z). (1 / (1 / x)) * y = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. x != K(y \ 1,y) * (y \ z) | x = z * T(z \ (y \ z),y). ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),x). x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. x * ((((x \ 1) \ 1) \ 1) * y) = L(y,((x \ 1) \ 1) \ 1,(x \ 1) \ 1) * K(x \ 1,x). L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). K(x \ 1,x) * y = (1 / (1 / x)) * (x \ y). (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. x != K(y \ 1,y) * (z * y) | x = z * (1 / (1 / y)). (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). ((x \ (1 / (1 / y))) * x) * (1 / y) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). x != ((y \ 1) \ 1) \ z | x = (y \ z) * K(y \ 1,y). x * (((x \ (y \ x)) \ 1) \ 1) = (y \ x) * K(y \ 1,y). (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) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). T(x,y) = T(x,1 / (1 / y)). T(x,1 / (1 / y)) = T(x,y). T(x,1 / y) = T(x,y \ 1). T(x,y) = T(x,(y \ 1) \ 1). T(x,(y \ 1) \ 1) = T(x,y). (1 / x) * T(y,x \ 1) = y * (1 / x). ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). T(x,y) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. T(x,T(y,y \ 1)) = T(x,y). T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). x * y != ((z \ u) \ u) * (T(z,z \ u) \ w) | w / y = x. x / ((y \ 1) \ 1) = T(T(y,y \ 1) \ x,y). T(T(x,x \ 1) \ y,x) = y / ((x \ 1) \ 1). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). ((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 / (y * z)) \ 1) \ 1 | x = T(y / (y * z),z). x / (x * ((y \ 1) \ 1)) = T(x / (x * y),y). T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). T(x / (x * y),y) = x / (x * T(y,y \ 1)). x / (x * T(y,y \ 1)) = T(x / (x * y),y). T(x / (x * y),y) \ x = x * T(y,y \ 1). x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * 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 = 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. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * 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). (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. (x \ 1) * y = (1 / x) * (K(x \ 1,x) * y). (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. (1 / x) * y = (x \ 1) * (K(x,x \ 1) * y). (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * 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 * y != z * (((z \ x) \ 1) \ 1) | y = K((x \ z) \ 1,x \ z). K(x \ 1,x) = K(((x \ y) \ y) \ 1,(x \ y) \ y). K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). L(T(x,y) / x,x,y) = K(1 / (1 / x),y). x != L(T(y,z) / y,y,z) | x = (y * K(y,z)) / y. K(1 / (1 / x),y) = (x * K(x,y)) / x. T(K(1 / (1 / x),y),x) = K(x,y). T(K(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). x != T(y,T(z,z \ 1)) | x = T(y,z). 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). (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). x != y * ((T(z,y) \ 1) \ 1) | x = ((z \ 1) \ 1) * y. (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. (x * y) * z != ((x \ 1) \ 1) * y | z = K(x,x \ 1). K(T(x,y),x \ 1) = K(x,x \ 1). x != K(T(y,z),y \ 1) | x = K(T(y,z),T(y,z) \ 1). K(x,x \ 1) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). x * y != K(T(z,u),T(z,u) \ 1) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = 1 / T(x,y). (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). x * (T(x,y) \ (1 / x)) = 1 / T(x,y). x != T(y,z) \ K(y,y \ 1) | x = (T(y,z) \ y) / y. 1 / T(x,y) = (T(x,y) \ x) / x. (T(x,y) \ x) / x = 1 / T(x,y). (1 / T(x,y)) * x = T(x,y) \ x. ((T(x,y) \ x) / x) \ 1 = T(x,y). x / T(x,y) = T(x,y) \ x. (T(x,y) \ x) * T(x,y) = x. (T(x,y) \ x) \ x = T(x,y). (T(x,y) \ x) * x = x * (T(x,y) \ x). x != (T(y,z) \ y) * T(y,z) | x = L(y,T(y,z) \ y,y). x = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,x) = x. x * y = (y * x) * T(K(x,y),y). (x * y) * T(K(y,x),x) = y * x. 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). K(x,K(y,x)) = 1. x * y != T(x * z,K(u,x * z)) | y = z. T(x * y,K(z,x * y)) != x * u | u = y. T(x,y) = T(T(x,y),K(z,x)). T(T(x,y),K(z,x)) = T(x,y). K(x,y) * T(y,z) = T(y,z) * K(x,y). T(x,y) * K(z,x) = K(z,x) * T(x,y). K(x,y) * L(y,z,u) = L(y,z,u) * K(x,y). L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). K(x,y) * R(y,z,u) = R(y,z,u) * K(x,y). R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. T(x,y * T(y \ 1,x)) = x. T(x,y \ T(y,x)) = x. T(x,x \ ((y * x) / y)) = x. (x * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). T(x,T(y,x) \ y) = x. x * (y \ T(y,x)) != z | (y \ T(y,x)) * x = z. (T(x,y) \ x) * y = y * (T(x,y) \ x). x != (y * K(z,y)) / y | x = L(K(z,y),y,1 / y). K(x,y) = L(K(x,y),y,1 / y). L(K(x,y),y,1 / y) = K(x,y). x != (y * K(T(z,y),y)) / y | x = L((T(z,y) * (z \ y)) / y,y,z). K(T(x,y),y) = L((T(x,y) * (x \ y)) / y,y,x). L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). R(K(x,y / z),y / z,z) = (((y / z) * K(x,y / z)) * z) / y. (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. T(K(x,y),T(y,z)) = K(x,y). K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. T(x * T(x \ 1,y),y) = x * T(x \ 1,y). T(x,x \ T(x,y)) = x. ((x * y) / x) / y = y \ ((x * y) / x). (x \ T(x,y)) * x = T(x,y). T(x,y) / x = x \ T(x,y). T(x,K(y \ (y / (x \ 1)),y)) = x. K(K(x,y),T(y,z)) = 1. T(K(x,T(y,z)),y) = K(x,T(y,z)). K(x \ T(x,y),T(y,z)) = 1. x * (T(x,y) / x) = T(x,y). x * y != T(y,R(z,z \ 1,y)) | x = z \ ((y * z) / y). x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). x != (y \ T(y,y / (y * z))) * y | x = T(y,R(1 / z,z,y)). T(x,x / (x * y)) = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = T(x,x / (x * y)). L(x,y,y \ T(y,z)) = T(y,z) \ ((y \ T(y,z)) * (y * x)). T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). (x \ ((x \ y) \ y)) * x = T(x,x \ y). T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). (T(x / y,z) * y) / x = R((x / y) \ T(x / y,z),x / y,y). R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. (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)). (1 / x) * T(x,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). (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). (x \ T(x,y)) * x != z | z = T(x,y). (x \ T(x,y)) * x != z | T(x,y) = z. (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). T(x \ T(x,y),T(y,z)) = x \ T(x,y). T(x,y) * K(x \ 1,x) = T(1 / (1 / 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 * y) / x) \ y) \ y = (x * y) / x. T(x,K(y,T(x,z))) = x. x * K(y,T(x,z)) = K(y,T(x,z)) * x. K(x,T(y,z)) * y = y * K(x,T(y,z)). K(x,T(y,z)) * T(y,u) = T(y,u) * K(x,T(y,z)). T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). T(x,y) * z != x \ T(x,y) | T(1 / x,T(x,y)) = z. T(1 / x,T(x,y)) = x \ 1. T(1 / (1 / x),T(1 / x,y)) = x. x != T(1 / y,T(y,R(z,z \ 1,y))) | x = L(y \ 1,y,z \ ((y * z) / y)). x \ 1 = L(x \ 1,x,y \ ((x * y) / x)). L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. T(1 / x,(y * x) / y) = x \ 1. T(x \ 1,x) = T(x \ 1,T(x,y)). T(x \ 1,T(x,y)) = T(x \ 1,x). T(x / (y * x),T(y,z)) = R(y \ 1,y,x). K(x \ 1,T(x,y)) = x * T(x \ 1,T(x,y)). x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). x * y != (1 / z) * (z * K(u,z)) | x \ K(u,z) = y. x \ K(y,x \ 1) = (x \ 1) * K(y,x \ 1). (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). 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). x != (T(y,z) \ y) * z | x = T(z,R(T(y,z),T(y,z) \ 1,z)). x * (T(y,x) \ y) = T(x,R(T(y,x),T(y,x) \ 1,x)). T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. x * (((y * 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). T(x \ T(x,y),T(y,z)) != u | u = x \ T(x,y). T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u. (((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 \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). T(x,x / (y * x)) = T(x,x / (x * y)). L(x \ 1,x,T(y,x) \ y) = x \ 1. T(x,L(K(y,x),z,u)) = x. T(K(x,y),L(y,z,u)) = K(x,y). T(K(x,y),L(y,z,u)) != w | w = K(x,y). T(K(x,y),L(y,z,u)) != w | K(x,y) = w. K(x,y) * R(y,z,u) != R(y,z,u) * w | K(x,y) = w. R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. x * (y * T(y \ 1,x)) = y * ((x \ (y \ x)) * x). x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). K(x \ 1,y) = L(x * T(x \ 1,y),x \ 1,y). 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). T(x,y) * z != T(1 / (1 / x),y) | z = K(T(x,y) \ 1,T(x,y)). K(x \ 1,x) = K(T(x,y) \ 1,T(x,y)). K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). x != K(T(y,z) \ 1,T(y,z)) | x = K((y * z) \ z,z \ (y * z)). K(x \ 1,x) = K((x * y) \ y,y \ (x * y)). K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. x * T(x \ 1,x) = K(x \ 1,T(x,y)). K(x \ 1,T(x,y)) = x * T(x \ 1,x). x != y * T(y \ 1,y) | x = K(y \ 1,y). K(x \ 1,T(x,y)) = K(x \ 1,x). R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). x * K(y \ 1,y) = (y * x) * ((((y * x) \ x) \ 1) \ 1). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). L(((x * y) / x) / y,y,x) = K(T(x,y),y). 1 / (x \ ((y * x) / y)) = T(y,R(x,x \ 1,y)) \ y. T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). x != y / (z \ y) | x = z. L(x,x \ T(x,y),x) = x. x != L(y * T(y \ 1,z),y \ 1,z) | x = K(1 / y,z). K(x \ 1,y) = K(1 / x,y). K(1 / x,y) = K(x \ 1,y). x != K((y / z) \ y,u) | x = K(z,u). K(1 / (1 / x),y) = K(x,y). x != K(y,z) | x = (z * y) \ (y * z). K(1 / x,y) = (y * (x \ 1)) \ ((x \ 1) * y). (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). 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). T(K(x,y),x) = K(x,y). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). T(x,K(x,y)) = x. x != T(K(y,z),y) | x = K(T(y,y \ 1),z). K(x,y) = K(T(x,x \ 1),y). K(T(x,x \ 1),y) = K(x,y). x * K(x,y) = K(x,y) * x. K(x,y) * x = x * K(x,y). K(x,y) * x != z | x * K(x,y) = z. T(K(x,y),x) != z | z = K(x,y). T(K(x,y),x) != z | K(x,y) = z. x * R(K(x,y),z,u) = R(K(x,y),z,u) * x. R(K(x,y),z,u) * x = x * R(K(x,y),z,u). T(x,y) = T(T(x,y),K(x,z)). T(T(x,y),K(x,z)) = T(x,y). K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). T(T(T(x,y),z),K(x,u)) = T(T(x,y),z). K(x,y) * L(x,z,u) = L(x,z,u) * K(x,y). L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). K(x,y) * R(x,z,u) = R(x,z,u) * K(x,y). R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. x != K((y \ 1) \ 1,T(z,y * z)) | x = K((y \ 1) \ 1,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 \ 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),T(x,z)) = K(x,y). T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. T(K(x \ y,z),y / x) = K(x \ y,z). K(T(x,x \ 1),y) != z | K(x,y) = z. K((x \ 1) \ 1,y) != z | K(x,y) = z. K(x \ 1,y) != z | K(1 / x,y) = z. T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. T(K(x,y),T(T(x,z),u)) = K(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). T(x / y,K(y \ x,z)) = x / y. K(1 / x,y) != z | K(x \ 1,y) = z. (K(x * y,z) * y) * T(x,y) = (x * y) * R(K(x * y,z),y,T(x,y)). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). T(x,R(K(x,y),z,u)) = x. (R(K(x,y),z,u) * x) * w != x * R(K(x,y),z,u) | 1 = w. 1 = K(x,R(K(x,y),z,u)). K(x,R(K(x,y),z,u)) = 1. R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). T(K(x,y),R(x,z,u)) = K(x,y). x * y != (z * x) * K(x,z) | y = z. (K(x,y) \ y) * K(x,y) = y. x / K(y,x) != z | z = K(y,x) \ x. x / K(y,x) != z | K(y,x) \ x = z. K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). 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,z))) \ 1 = T((x \ y) \ 1,z) \ ((x \ y) \ 1). T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. x != 1 / (y \ ((z * y) / z)) | x = ((z * y) / z) \ y. T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). (x * (T(y,x) \ y)) \ x = y \ T(y,x). x / (y \ T(y,x)) = x * (T(y,x) \ y). x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). K(x \ 1,x) * (y * T(x,z)) = 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) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. T(x,y) \ z = K(x \ 1,x) * (T(1 / (1 / x),y) \ z). K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. x * L(y,x,x \ T(x,z)) = L(x * y,x \ T(x,z),x). L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). L(x,y \ T(y,z),y) = y * L(y \ x,y,y \ T(y,z)). x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). x != T(y,z) * L(T(y,z) \ u,w,v5) | x = T(y * L(y \ ((z * u) / z),w,v5),z). (x \ T(x,y)) * (x * (T(x,y) \ z)) = T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y). T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). 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). x * (1 / y) != (y * z) * (y \ 1) | x = (1 / (1 / y)) * z. (x / (x * y)) * y = (1 / (1 / y)) * (x / (x * y)). (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. (x / (x * y)) * z != (x / (x * y)) * y | T(1 / (1 / y),x / (x * y)) = z. 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. ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). x != (T(y,z) \ y) * z | x = z * (T(y,z) \ y). (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). x * K(y,y \ 1) != T(y,y \ 1) * z | x = y * z. T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). x != y \ T(z,z \ u) | x = y \ ((z \ u) \ u). x * (1 / T(x,y)) = T(x,y) \ ((x \ 1) \ 1). T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). x * y != (x * (z \ T(z,x))) \ (x * u) | y = (x * (z \ T(z,x))) \ u. T(x,y) \ x = (y * (x \ T(x,y))) \ y. (x * (y \ T(y,x))) \ x = T(y,x) \ y. T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. 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,K(y,x) \ 1) = x. L(x \ 1,x,K(y,x) \ 1) = x \ 1. (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). x != L(y \ 1,y,K(z,y) \ 1) | x = y \ 1. (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. K(x,x \ 1) * y = T(x \ 1,z) \ (T(1 / x,z) * y). T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). T(x \ 1,y) * ((x \ 1) \ z) = T(1 / x,y) * ((1 / x) \ z). T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. ((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 * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). 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 \ (1 / (1 / x)),y)) * (x \ 1) = R((y \ (1 / (1 / x))) * y,1 / x,(1 / x) \ 1) / ((1 / x) \ 1). R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). 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). T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. x * (y * (1 / (1 / (y \ z)))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). (x * y) * (1 / (1 / ((x * y) \ (x * z)))) != u | x * (y * (1 / (1 / (y \ z)))) = u. (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). x != R(1,y,z) | x = 1. 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 * y != z * 1 | z / y = x. (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). x != (y \ 1) / (y \ R(y,z,u)) | x = R(y,z,u) \ 1. (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. x * y != (z \ R(z,u,w)) \ (z \ 1) | x \ (R(z,u,w) \ 1) = y. (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. (R(x,y,z) / x) \ (1 / x) = R(1 / (1 / x),y,z) \ 1. R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). (x * 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(K(x \ 1,x) * y,(x \ 1) \ 1) != z | K(y,x) = z. K(x,(y \ 1) \ 1) != z | K(K(y,y \ 1) * x,y) = z. K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) != z | K(x \ y,x) = z. R(x,y,z) \ R(u / (u / x),y,z) = R(u / (u / x),y,z) / R(x,y,z). R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). x != R(1 / (1 / y),z,u) / R(y,z,u) | x = y * T(y \ 1,R(y,z,u)). R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). (T(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,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). (1 / x) * y != (x \ 1) * z | y = K(x \ 1,x) * z. T(x \ 1,y) * z = K(x \ 1,x) * (T(1 / x,y) * z). K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. x * y != (1 / z) * (T(z \ 1,u) * ((z \ 1) \ w)) | (T(1 / z,u) * w) / y = x. (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. 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)) * (1 / T(x,y)) = L(1 / x,x \ T(x,y),x). L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). (x \ (x * K(x,y))) \ x = x * (T(x,R(y,x,(y * x) \ x)) \ x). x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. (x \ ((y * x) / y)) \ y = y * (T(y,R(x,x \ 1,y)) \ y). x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. x != (y \ T(y,z)) * (1 / T(y,z)) | x = 1 / y. L(1 / x,x \ T(x,y),x) = 1 / x. x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). x * (((x * y) / x) \ y) = (y \ ((x * y) / x)) \ x. (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). (T(x,y) \ x) \ y = y * (((y * T(x,y)) / y) \ T(x,y)). x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. x * (y \ T(y,x)) = (T(y,x) \ y) \ x. (T(x,y) \ x) \ y = y * (x \ T(x,y)). (T(x,y) \ x) * (y * (x \ T(x,y))) = y. x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. x * (K(x,y) \ 1) = K(x,y) \ x. 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))). x != y * ((y \ 1) * z) | x = L(z,y \ 1,y). (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). (1 / x) * T(x,y) = L(x \ T(x,y),x \ 1,x). L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). x != (1 / y) * T(y,z) | x = y \ T(y,z). L(x \ T(x,y),x \ 1,x) = x \ T(x,y). L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). L(K(x,y),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). x \ (x * K(x,y)) = L(K(x,y),x \ 1,x). L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). L(K(x,y),x \ 1,x) = K(x,y). x * y != L(K(z,u),z \ 1,z) | x \ K(z,u) = y. x \ K(x,y) = (x \ 1) * K(x,y). (x \ 1) * K(x,y) = x \ K(x,y). K(x,y) * (x \ 1) = x \ K(x,y). x * y != (z \ 1) * K(z,u) | x \ (z \ K(z,u)) = y. K(x,y) \ (x \ K(x,y)) = x \ 1. x \ K(x,y) != z * K(x,y) | x \ 1 = z. K(x,y) \ (x \ K(x,y)) != z | z = x \ 1. K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. (x \ K(x,y)) * z != K(x,y) * ((x \ 1) * u) | L(u,x \ 1,K(x,y)) = z. K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. x != K(y,z) / (y \ 1) | x = y * K(y,z). T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). x != T(y,y / (y * z)) | x = T(y,y / (z * y)). R(x,y,z) * K(R(x,y,z),x \ 1) = T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))). T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). R(x,y,z) * K(R(x,y,z),x \ 1) = R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z). R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). R((x \ 1) \ 1,y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). x * y != R((z \ u) \ u,w,v5) | x \ R(T(z,z \ u),w,v5) = y. R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). x != R(y,z,u) \ R(T(y,y \ 1),z,u) | x = a(R(y,z,u),1 / y,y). K(R(x,y,z),x \ 1) = a(R(x,y,z),1 / x,x). a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) \ 1 = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. x != K(R(y,z,u),y \ 1) | x = y * ((y \ R(y,z,u)) / R(y,z,u)). a(R(x,y,z),1 / x,x) = x * ((x \ R(x,y,z)) / R(x,y,z)). x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). x != K(y \ z,T(y / z,T(z,y))) | x = K(y \ z,z \ y). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). x != K(T(y,z) \ 1,T(y,z)) | x = K(y \ 1,y). K(x \ y,y \ x) = K((x / y) \ 1,x / y). K((x / y) \ 1,x / y) = K(x \ y,y \ x). x != K((y / z) \ 1,y / z) | x = K(z / y,(z / y) \ 1). K(x \ y,y \ x) = K(y / x,(y / x) \ 1). K(x / y,(x / y) \ 1) = K(y \ x,x \ y). K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. x != K(y \ 1,y) * (z / (y * z)) | x = R(y \ 1,y,z). ((x / (y * x)) \ 1) \ 1 = R(y \ 1,y,x). R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. x != ((y / (z * y)) \ 1) \ 1 | x = y / (((z \ 1) \ 1) * y). R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). x != y / ((z \ 1) * y) | x = R(z,z \ 1,y). R(x \ 1,x,y) = R(x \ 1,(x \ 1) \ 1,y). R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. R(x \ 1,x,y) = y / (T(x,x \ 1) * y). x / (T(y,y \ 1) * x) = R(y \ 1,y,x). x != T(y,y / (z * y)) | x = z * (y * ((z \ y) / y)). T(x,R(y \ 1,y,x)) = y * (x * ((y \ x) / x)). x * (y * ((x \ y) / y)) = T(y,R(x \ 1,x,y)). x != T(y,y / (z * y)) | x = T(y,y / (y * z)). T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). T(x,R(y \ 1,y,z)) = T(x,R(1 / y,y,z)). T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. x != T(y,R(1 / z,z,y)) | x = (z * ((y * (z \ 1)) / y)) * y. T(x,R(y \ 1,y,x)) = (y * ((x * (y \ 1)) / x)) * x. (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). 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))). R(x,1 / x,y) \ y = (x \ 1) * y. x / ((y \ 1) * x) = R(y,1 / y,x). R(x,1 / x,y) = y / ((x \ 1) * y). R(x,1 / x,y) = R(x,x \ 1,y). L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). (x * ((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 != L(R(y,z,u),y \ 1,y) | x = R(1 / (1 / y),z,u). R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). ((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 \ 1) \ 1) * y) \ y = R(T(x \ 1,((x \ 1) \ 1) * y),x,y). R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. x != R(T(y \ 1,y * z),y,z) | x = T((y * z) \ z,y). (((x \ 1) \ 1) * y) \ y = T((x * y) \ y,x). T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. T((x * y) \ y,x) = (T(x,x \ 1) * y) \ y. (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. ((((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). R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. ((x * y) * (1 / z)) / (y * (1 / z)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). x != (1 / y) * T((1 / y) \ 1,z) | x = y \ T(y,z). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. x != y * (K(z \ 1,z) * u) | x = y * (u * K(z \ 1,z)). ((x \ 1) * T(x,y)) * z = (x \ T(x,y)) * (z * K(x \ 1,x)). (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. ((x \ 1) * y) \ ((x \ 1) * (y * z)) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (1 / x) * (y * x) != z * ((x * ((1 / x) * (y * x))) / x) | L(y,x,x \ 1) \ ((1 / x) * (y * x)) = z. x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). x / K(y,x) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). x * (K(y,x) \ 1) = x / K(y,x). K(x,y) \ y = y * (K(x,y) \ 1). x * (K(y,x) \ 1) = K(y,x) \ x. x \ (K(y,x) \ x) = K(y,x) \ 1. x * y != z * (K(u,z) \ 1) | x \ (K(u,z) \ z) = y. (K(x,y) \ 1) \ (K(x,y) \ y) = y. 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. (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). (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). K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). x != (K(y,z) \ 1) * ((z \ u) \ u) | x = K(y,z) \ ((z \ u) \ u). 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) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). K(x,(y \ 1) \ 1) = K(x,y). K(x,y) != z | K(x,(y \ 1) \ 1) = z. K(x \ y,x) = K(((x \ 1) \ 1) \ y,x). K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). K(K(x,x \ 1) * y,x) = K(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 / z,z / y)) = K(x,y / 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). ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). x != K(y,((1 / z) \ y) / y) | x = ((1 / z) \ y) \ (y * R(1 / (1 / z),z \ 1,(1 / z) \ y)). 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). x != K(y \ ((1 / y) \ z),y) | x = ((1 / y) \ z) \ ((1 / y) \ T(z,y)). K(x \ ((x \ 1) \ y),x) = ((1 / x) \ y) \ ((1 / x) \ T(y,x)). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). x != ((y \ 1) \ 1) * z | x = y * (z * K(y,y \ 1)). (x \ 1) \ K(y,x) = x * (K(y,x) * K(x,x \ 1)). x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x * L(x \ 1,y,z),u,w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(a(R(x,y,z),1 / x,x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). x != R(K(R(y,z,u),y \ 1),z,u) | x = K(R(y,z,u),R(y,z,u) \ 1). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). x != (R(y,z,u) / y) \ (1 / y) | x = R(1 / (1 / y),z,u) \ 1. 1 / R(x,y,z) = R(1 / (1 / x),y,z) \ 1. R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). 1 / (1 / R(x,y,z)) = R(1 / (1 / x),y,z). R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). R(1 / x,y,z) = 1 / (1 / R(x \ 1,y,z)). 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). (R(x,y,z) \ 1) \ 1 = R((x \ 1) \ 1,y,z). R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. T(x,R(y,z,u)) = T(x,R((y \ 1) \ 1,z,u)). T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. (((1 / x) * y) \ y) \ 1 = 1 / R(T(x,(1 / x) * y),1 / x,y). 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. x != R(((y / (1 / z)) \ 1) \ 1,z \ 1,z) | x = T(y * z,y \ (1 / z)). ((x * y) \ 1) \ 1 = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. ((((x / y) \ 1) \ 1) * y) * z = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. x != ((y * z) * u) * (((((y * z) * u) \ (z * u)) \ 1) \ 1) | x = ((R(y,z,u) \ 1) * R(y,z,u)) * (z * u). ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. x != ((y * z) * u) * (((((y * z) * u) \ (z * u)) \ 1) \ 1) | x = ((R(y,z,u) \ 1) \ 1) \ ((y * z) * u). ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). K((x * (y \ 1)) \ 1,x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (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) * 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. K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(x \ 1,R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). x * y != K(z \ 1,R(z,u,w)) \ (z \ 1) | x \ ((z \ R(z,u,w)) / R(z,u,w)) = y. (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. K(R(x,y,z),x \ 1) = K(x \ 1,R(x,y,z)) \ 1. K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). x != y * T(y \ 1,R(y,z,u)) | x = R(y,z,u) \ R(1 / (1 / y),z,u). K(x \ 1,R(x,y,z)) = R(x,y,z) \ R(1 / (1 / x),y,z). R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). x != R(1 / (1 / y),z,u) | x = 1 / (1 / R(y,z,u)). R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). K(x \ 1,R(x,y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. R(K(x,R(x \ 1,y,z)),y,z) = K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)). K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. x != K(R(y,z,u) \ 1,R(y,z,u)) | x = K(y \ 1,R(y,z,u)). R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). x != K((y \ 1) \ 1,z) | x = K(y,z). R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). K(x,R(x \ 1,y,z)) * (y * z) = (K(x,R(x \ 1,y,z)) * y) * z. (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). L(x,y,K(z,R(z \ 1,y,x))) = x. x * y != K(z,R(z \ 1,u,y)) * (u * y) | x = u * K(z,z \ 1). K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). x * y != y * K(z,z \ 1) | x = K(z,z \ 1). K(x,R(x \ 1,y,z)) = K(x,x \ 1). K(x,x \ 1) * (y * z) = (y * K(x,x \ 1)) * z. (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). L(x,y,K(z,z \ 1)) = x. x != L(T(y,z),z,K(u,u \ 1)) | x = R(T(y,z * K(u,u \ 1)),z,K(u,u \ 1)). T(x,y) = R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)). R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). x != L(y \ (z * K(u \ 1,u)),y,K(u,u \ 1)) | x = (K(u,u \ 1) * y) \ z. x \ (y * K(z \ 1,z)) = (K(z,z \ 1) * x) \ y. (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). x \ y = (K(z,z \ 1) * x) \ (K(z,z \ 1) * y). (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). K(x,x \ 1) / y = K(x,x \ 1) * (1 / y). K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). L(x,y,K(z,1 / z)) = x. L(x,y,K(z \ 1,z)) = x. (1 / x) / y = K(x,x \ 1) * ((x \ 1) / y). K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. L(x,y,K(z \ u,u \ z)) = x. (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). K(x,1 / x) / y = K(x,1 / x) * (1 / y). K(x,1 / x) * (1 / y) = K(x,1 / x) / y. L(x,y,z \ 1) = L(x,y,1 / z). L(x,y,1 / z) = L(x,y,z \ 1). x != L((y * K(z,z \ 1)) \ u,y * K(z,z \ 1),K(z \ 1,z)) | x = y \ (K(z \ 1,z) * u). (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). x != L(y \ R(y,z \ 1,z),y,K(z \ 1,z)) | x = a(y,z \ 1,z). x \ R(x,y \ 1,y) = a(x,y \ 1,y). x \ y = (K(z \ 1,z) * x) \ (K(z \ 1,z) * y). (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). L(x,y,1 / z) != u | L(x,y,z \ 1) = u. (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). L(x,y,z) = L(x,y,(z \ 1) \ 1). L(x,y,(z \ 1) \ 1) = L(x,y,z). L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). x * K(y,y \ 1) = (1 / y) / (x \ (y \ 1)). (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). (x \ ((y \ 1) \ 1)) * K(y \ 1,(y \ 1) \ 1) = (1 / (y \ 1)) / T(x,x \ T(y,y \ 1)). (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). x * y != (z * K(u,u \ 1)) * w | (K(u,u \ 1) * (z * w)) / y = x. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). x * y = K(z,z \ 1) * ((K(z \ 1,z) * x) * y). K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. x \ y = (x * K(z \ 1,z)) \ (y * K(z \ 1,z)). (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. x \ (K(y,y \ 1) * z) = (x * K(y \ 1,y)) \ z. (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). R(K(x,x \ 1),y,z) = K(x,x \ 1). x != R(K(y,y \ 1),z,u) | x = R(y,z,u) * ((1 / y) * (R(y,z,u) \ y)). K(x,x \ 1) = R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). x != K(y,1 / y) * z | x = z * K(y,1 / y). (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). ((1 / x) * y) \ z = ((x \ 1) * y) \ (K(x \ 1,x) * z). ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. (K(x \ 1,x) * y) \ z = y \ (K(x,x \ 1) * z). R(K(x \ 1,x) * y,z,u) = ((K(x \ 1,x) * (y * z)) * u) / (z * u). ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). x / y = K(x \ 1,x) * (((x \ 1) \ 1) / y). K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. (1 / (1 / x)) / y = K(x \ 1,x) * (x / y). K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. K(x \ 1,x) * (y \ x) = (1 / (1 / x)) / T(y,y \ x). (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). x \ K(y,y \ 1) = (K(y \ 1,y) * x) \ 1. (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)) = T(x,x \ y). T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). K(x \ 1,R(x,y,z)) = K(x \ 1,x). x * y != z * ((1 / u) * u) | z / y = x. K(x \ 1,x) / y = (1 / y) * K(x \ 1,x). (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. a(x * K(y \ 1,y),z,u) = (K(y \ 1,y) * (x * (z * u))) \ (((x * K(y \ 1,y)) * z) * u). (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). L(x,y,z * K(u \ 1,u)) = (K(u \ 1,u) * (z * y)) \ ((z * K(u \ 1,u)) * (y * x)). (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. x != (y * z) / u | x = R(y / (u / z),u / z,z). K(x,1 / x) * (y / z) = R(y / (z / K(x,1 / x)),z / K(x,1 / x),K(x,1 / x)). R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). x * y != K(z \ 1,z) * (1 / R(z,u,w)) | x \ (R(z,u,w) \ 1) = y. (x \ 1) \ (R(x,y,z) \ 1) = (1 / x) \ (1 / R(x,y,z)). (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * 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). T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). x * K(y \ 1,y) != (y \ 1) * z | x = (1 / y) * z. x \ R(x,y,z) = (1 / x) * R(x,y,z). (1 / x) * R(x,y,z) = x \ R(x,y,z). R(x,y,z) / x = 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). (x \ R(x,y,z)) * x = R(x,y,z). R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). T(x,x \ R(x,y,z)) = x. x != (y \ z) * R((y \ z) \ 1,u,w) | x = y \ (z * R(z \ y,u,w)). ((x \ y) \ 1) \ R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). x != (y \ 1) \ (R(y,z,u) \ 1) | x = (y \ R(y,z,u)) \ 1. (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. (x * K(y \ z,z \ y)) * (x \ 1) != u | u = K(y \ z,z \ y). (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. a((x \ y) \ 1,z,z \ 1) = x \ (y * R(y \ x,z,z \ 1)). x \ (y * R(y \ x,z,z \ 1)) = a((x \ y) \ 1,z,z \ 1). x != (K(y,y \ 1) * (z * u)) / (K(y,y \ 1) * u) | x = R(z,u,K(y,y \ 1)). R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,(y \ 1) \ 1)). R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). R(x,y,K(z \ 1,z)) = R(x,K(z \ 1,z),y). R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). x != (K(y \ 1,y) * z) / u | x = K(y \ 1,y) * (z / u). R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * (((y * z) * u) / (z * u)). K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). K(x \ 1,x) * R(y,z,u) = R(K(x \ 1,x) * y,z,u). R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). x != K(y \ 1,y) * R(z * T(y,y \ 1),u,w) | x = (y \ R(y * z,u,w)) * y. R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). K(x,x \ 1) * R(y,z,u) = R(K(x,x \ 1) * y,z,u). R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). x != K(y,y \ 1) * z | x = z * K(y,y \ 1). R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). R(x * y,z,u) = (y \ R(y * x,z,u)) * y. (x \ R(x * y,z,u)) * x = R(y * x,z,u). (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. x * y != (z \ R(u,w,v5)) * z | R((z \ u) * z,w,v5) / y = x. R((x \ y) * x,z,u) / x = x \ R(y,z,u). R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. 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 / x),z,u) = x * (R(y,z,u) / x). R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). x * y != R((z \ (u / w)) * z,w,w \ 1) | ((z \ (u * (w \ 1))) * z) / y = x. ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. x != R((y \ (y / (1 / z))) * y,z \ 1,z) | x = (y * (z \ T(z,y))) * z. (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. x * y != R((z \ (u / (1 / w))) * z,w \ 1,w) | ((z \ (u * w)) * z) / y = x. ((x \ (y * z)) * x) / z = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. ((x \ (1 * y)) * x) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). x * y = (y * (x \ T(x,y))) * x. (x * (y \ T(y,x))) * y = y * x. (x * y) / x = y * (x \ T(x,y)). x * (y \ T(y,x)) = (y * x) / y. x * y != z * (z \ u) | u / y = x. x / y = (y \ x) * (y \ T(y,y \ x)). (x \ y) * (x \ T(x,x \ y)) = y / x. T(x,y) * (y \ T(y,T(x,y))) = x. (x \ T(x,y)) * y = (x * y) / x. x \ ((y * x) / y) = y \ T(y,x). x * y != ((z / u) * u) / w | x \ (z / w) = y. x \ (y / (y / x)) = (y / x) \ T(y / x,x). (x / y) \ T(x / y,y) = y \ (x / (x / y)). x * y != (z * T(u,z)) / z | x \ u = y. T(x,y) \ x = y \ T(y,T(x,y)). (x \ 1) * y != (z * (x \ 1)) / z | y = x * ((z * (x \ 1)) / z). x \ T(x,y \ 1) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). x * y != (z * x) / z | y = ((z * x) / z) / x. x \ T(x,y) = ((x * y) / x) / y. ((x * y) / x) / y = x \ T(x,y). ((x * y) / x) * (y \ 1) = x \ T(x,y). x * (y * T(y \ 1,x)) = ((y \ 1) * x) / (y \ 1). ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). ((x * y) / x) \ y = T(x,y) \ x. (T(x,y) \ x) * ((x * y) / x) = y. x \ T(x,y) = T(y,T(x,y)) \ y. T(x,T(y,x)) \ x = y \ T(y,x). R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. L(x \ T(x,y),y,x) = K(x,(x * y) / x). (x \ T(x,y)) * x = T(x,R(y,y \ 1,x)). T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. 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). R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). L(x \ T(x,y),y,x) = K(T(x,y),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). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. T(x,T(y,x)) * (y \ T(y,x)) = x. (x \ T(x,y)) \ y = T(y,T(x,y)). x != y * (T(L(z \ 1,z,y) \ 1,y) \ (L(z \ 1,z,y) \ 1)) | x = K(z,y) \ y. T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ 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 * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). (x \ y) * (x \ ((x \ y) \ y)) = y / x. (x \ y) \ (y / x) != z | z = x \ ((x \ y) \ y). (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. x != L(y \ T(y,z),z,y) | x = K(T(y,z),z). K(x,(x * y) / x) = K(T(x,y),y). 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(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). K(T(x,T(y,x)),T(y,x)) = K(x,y). x != (y \ T(y,z)) * y | x = T(y,z). T(x,R(y,y \ 1,x)) = T(x,y). T(x,R(y,y \ 1,x)) != z | T(x,y) = z. T(x,R(y \ 1,y,x)) = T(x,y \ 1). T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. x != T(y * z,R(y \ 1,y,y * z)) | x = y * ((y * z) * (z / (y * z))). T(x * y,x \ 1) = x * ((x * y) * (y / (x * y))). x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). x != T(y,R(z \ 1,z,y)) | x = T(y,y / (y * z)). T(x,y \ 1) = T(x,x / (x * y)). T(x,x / (x * y)) = T(x,y \ 1). x * y != T(z,R(u \ 1,u,z)) | x \ T(z,u \ 1) = y. x \ T(y,x \ 1) = y * ((x \ y) / y). (x * ((x / y) / x)) * y = T(x,y \ 1). x != T(y,y / (y * z)) | x = y * K(y,(y / z) / y). T(x,y \ 1) = x * K(x,(x / y) / x). x * K(x,(x / y) / x) = T(x,y \ 1). x * y != T(z,z / (z * u)) | T(z,u \ 1) / y = x. T(x,y \ 1) / y = x * ((x / y) / x). x * y != T(z,z / (z * u)) | x \ T(z,u \ 1) = y. x \ T(x,y \ 1) = K(x,(x / y) / x). K(x,(x / y) / x) = x \ T(x,y \ 1). x \ T(y,x \ 1) = T(y * ((y / x) / y),x). T(x * ((x / y) / x),y) = y \ T(x,y \ 1). T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). T(x,R(y \ 1,y,x)) != z | T(x,y \ 1) = z. x * y != z * ((u \ z) / z) | x \ (u \ T(z,u \ 1)) = y. T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). x \ (y \ T(x,y \ 1)) = (y \ x) / x. x \ T(y,x \ 1) != y * z | (x \ y) / y = z. (x / y) \ T(x,(x / y) \ 1) = x * (y / x). x \ T(y,x \ 1) = y * R(1 / x,x,x \ y). x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). ((x \ T(y,x \ 1)) * y) / (x \ y) = R(y,(x \ y) / y,y). R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). x * 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 \ T(x,y \ 1) != z | z = K(x,(x / y) / x). x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). (x / y) \ (y \ x) = y \ (x / (x / y)). x != (y / z) \ (z \ y) | x = T(z,z \ y) \ z. x \ (y / (y / x)) = T(x,x \ y) \ x. T(x,x \ y) \ x = x \ (y / (y / x)). x * (T(x,x \ y) \ x) = y / (y / x). x / (x / y) = y * (T(y,y \ x) \ y). (x * y) / ((x * y) / x) = x * (T(x,y) \ x). x != y * ((z * (y \ 1)) / z) | x = (z * ((y \ z) / z)) / (y \ z). x \ T(x,y \ 1) = (x * ((y \ x) / x)) / (y \ x). (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). x != L(y,z,u) * ((w * (L(y,z,u) \ 1)) / w) | x = L(y * ((w * (y \ 1)) / w),z,u). x \ T(x,L(y,z,u) \ 1) = L(y * ((x * (y \ 1)) / x),z,u). L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. x != (y / z) \ T(y,(y / z) \ 1) | x = (((y / z) \ 1) \ z) * ((y / z) \ 1). x * (y / x) = (((x / y) \ 1) \ y) * ((x / y) \ 1). (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). x * y != z * ((z / (1 / u)) / z) | x \ (T(z,u) / (1 / u)) = y. x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. x != (y * z) / ((y * z) / y) | x = z / (y \ ((y * z) / y)). x * (T(x,y) \ x) = y / (x \ ((x * y) / x)). x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). x * y != T(x * z,x \ 1) | y = ((x \ 1) \ z) * (x \ 1). (x * y) * (y / (x * y)) = ((x \ 1) \ y) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). x != K(y,(y / z) / y) | x = y \ T(y,z \ 1). T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. x != (((y \ 1) \ 1) \ z) * ((y \ 1) \ 1) | x = (y \ z) * y. ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. 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 \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. x * y != ((z \ 1) * u) * R(z,z \ 1,u) | ((z \ u) * z) / y = x. ((x \ y) * x) / y = ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1). ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). x != ((y \ (z / (1 / u))) * y) * (1 / u) | x = y * (T((y \ z) * u,y) / u). ((x \ (y * z)) * x) / z = x * (T((x \ y) * z,x) / z). x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(y,((x \ 1) \ y) / y). K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). x != ((1 / y) \ z) \ ((1 / y) \ T(z,y)) | x = K(y \ ((y \ 1) \ z),y). K(x,((y \ 1) \ x) / x) = K(y \ ((y \ 1) \ x),y). K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). x != ((y \ 1) * z) / (y \ 1) | x = ((1 / y) * z) / (1 / y). x * (((x \ (1 / y)) * x) * y) = ((1 / (x * y)) * x) / (1 / (x * y)). ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. x != ((y * z) / y) * (z \ 1) | x = y \ T(y,z). ((x \ y) * x) / y = ((x \ 1) * y) \ T((x \ 1) * y,x). ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. x != ((y \ 1) * z) \ T((y \ 1) * z,y) | x = L(K(y \ z,y),z,y \ 1). ((x \ y) * x) / y = L(K(x \ y,x),y,x \ 1). L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. L(K(x,y),y * x,y \ 1) = ((y \ (y * x)) * y) / (y * x). ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). (x * y) / (y * x) = L(K(x,y),y * x,y \ 1). L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). x != y * K(z \ y,z) | x = (z \ y) * z. (x \ T(x,(x \ 1) * y)) * y = (((x \ 1) * y) \ y) * ((x \ 1) * y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. x != L(K(y,z),z * y,z \ 1) | x = (y * z) / (z * y). T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). (((x \ (1 / y)) * x) * y) * x = x * ((y * x) * T((y * x) \ 1,x)). x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. x * (y * ((x \ (y \ 1)) * x)) = (((x \ (1 / y)) * x) * y) * x. (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). x != y \ T(y,R(z,u,w) \ 1) | x = R(y \ T(y,z \ 1),u,w). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. x != ((y * z) / u) * T(((y * z) / u) \ y,w) | x = (y * (z * T(z \ u,w))) / u. 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 * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. x * K(y \ 1,y) != (z / u) * u | x = z * K(y,y \ 1). x \ ((y \ 1) \ 1) = (x \ y) * K(y,y \ 1). (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). (x \ y) * (1 / y) = (x \ ((y \ 1) \ 1)) * (y \ 1). (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). (x \ ((y \ 1) \ 1)) * z = K(y,y \ 1) * ((x \ y) * z). K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * ((x * ((1 / y) * z)) / ((y \ 1) * z)). K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). x != L(y,z,K(u \ 1,u)) | x = y. L(x,y,z * K(u \ 1,u)) = L(x,y,z). L(x,y,K(z \ 1,z) * u) = L(x,y,u). L(x,y,(1 / z) \ u) = L(x,y,(z \ 1) \ 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). (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). x != (y \ ((z \ 1) \ 1)) * K(z \ 1,z) | x = y \ z. x / T(y,y \ T(x,x \ 1)) = y \ x. (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). x != (1 / (1 / y)) / T(z,z \ y) | x = K(y \ 1,y) * (z \ y). x \ (1 / (1 / y)) = K(y \ 1,y) * (x \ y). K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. x != K(y,y \ 1) * ((z \ (1 / (1 / y))) * z) | x = y * K(z \ (1 / (1 / y)),z). (x \ y) * x = y * K(x \ (1 / (1 / y)),x). x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). a(x * K(y \ 1,y),z,u) = a(x,z,u). a(x \ 1,y,z) = a(1 / x,y,z). a(1 / x,y,z) = a(x \ 1,y,z). x * y != a(1 / z,u,w) | a(z \ 1,u,w) / y = x. a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. ((1 / (x * y)) \ T(1 / (x * y),x)) * x = (a((x * y) \ 1,x,y) / y) / (1 / (x * y)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. x != (((y \ (1 / z)) * y) * z) * y | x = y * (z * ((y \ (z \ 1)) * y)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). ((x \ y) * x) * (y \ 1) = (y \ 1) * ((x \ ((y \ 1) \ 1)) * x). (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). x != (y \ 1) * ((z \ ((y \ 1) \ 1)) * u) | x = (1 / y) * ((z \ y) * u). ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). x != ((y \ z) * y) * (z \ 1) | x = ((y \ z) * y) / z. (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. (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,y \ 1) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). x * ((x \ T(x,y)) * (x \ z)) = T(x,(y \ 1) \ 1) * (x \ z). T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). T(x,y) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). x * ((x \ T(x,y)) * z) = T(x,y) * (x \ (x * z)). T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). T(x,y) * z = x * ((x \ T(x,y)) * z). x * ((x \ T(x,y)) * z) = T(x,y) * z. L(x,y \ T(y,z),y) = x. (T(x,y) * z) / ((x \ T(x,y)) * z) = x. x * y != T(x,z) * u | y = T(x,z) * (x \ u). (x \ T(x,y)) * z = T(x,y) * (x \ z). x * y != T(x,x \ z) * z | y = x * (z / x). (x \ T(x,x \ y)) * y = x * (y / x). x * y != T(x,z) * (x * u) | y = T(x,z) * u. (x \ T(x,y)) * (x * z) = T(x,y) * z. x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. L(x,y \ T(y,z),y) = u / (x \ u). x * y != L(z,u \ T(u,w),u) | x \ z = y. (x \ T(x,y)) \ z = x * (T(x,y) \ z). L(x,T(y,T(z,y)) \ y,z) = x. L(x,T(y,z) \ y,(y * z) / y) = x. L(x,y \ T(y,z),y) != u | u = 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. 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. x != (y \ T(y,z \ 1)) * (z * u) | x = z * ((y \ T(y,z \ 1)) * u). T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). x != (y \ T(y,z)) * (u * K(y \ 1,y)) | x = ((y \ 1) * T(y,z)) * u. T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. (T(x,y) * z) / (x * z) = x \ T(x,y). (x \ T(x,y)) \ (T(x,y) * z) != u | u = x * z. (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. R(x \ T(x,y),x,z) = x \ T(x,y). L(x \ T(x,T(y,x)),T(y,x),x) = R(K(x,y),x,z). R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). x != R((y / z) \ T(y / z,u),y / z,z) | x = (z * T(z \ y,u)) / y. (x / y) \ T(x / y,z) = (y * T(y \ x,z)) / x. (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). x * y != T(x,T(z,x)) * (z * x) | y = x * z. (T(x,y) \ x) * (x * y) = y * x. x * ((T(y,x) \ y) * z) != u * z | T(x,T(y,x)) = u. (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. T(T(x,y) \ x,x * y) = K(y,x). K(x,y) = T(T(y,x) \ y,y * x). (x * y) / (y * x) = T(y,x) \ y. x / (y * (x / y)) = T(y,x / y) \ y. T(x,y / x) \ x = y / (x * (y / x)). (x * (y / x)) / y = T(y / x,x) \ (y / x). T(x / y,y) \ (x / y) = (y * (x / y)) / x. x * (((y * x) / (x * y)) \ 1) = T(x,y). T(x,y) = x * (((y * x) / (x * y)) \ 1). x != y * (((z * y) / (y * z)) \ 1) | x = T(y,(y \ 1) * (z * y)). T(x,y) = T(x,(x \ 1) * (y * x)). T(x,(x \ 1) * (y * x)) = T(x,y). T(x,T((x \ 1) * y,x)) = T(x,x \ y). x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. (x \ y) \ (y / x) = (x * (y / x)) / y. (x * (y / x)) / y = (x \ y) \ (y / x). x \ ((x \ y) \ y) = (x * (y / x)) / y. (x * (y / x)) / y = x \ ((x \ y) \ y). x != (y * ((z \ y) / y)) / (z \ y) | x = y \ T(y,z \ 1). x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). x != y * (((z * y) / z) \ u) | x = R(z \ T(z,y),y,((z * y) / z) \ u) \ u. (T(x,y) \ x) * z = R(x \ T(x,y),y,((x * y) / x) \ z) \ z. R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. x != L(y \ T(y,T(z,y)),T(z,y),y) | x = K(y,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. (K(x,y) * (x * z)) * u != (K(x,y) * x) * z | 1 = u. 1 = a(K(x,y),x,z). a(K(x,y),x,z) = 1. (x * K(x,y)) * z = K(x,y) * (x * z). 1 * x = L(x,y,K(y,z)). L(x,y,K(y,z)) = 1 * x. L(x,y,K(y,z)) != u | u = x. x * T(x \ 1,y) = ((x \ z) / z) \ T((x \ z) / z,y). ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). T(x,y \ 1) = T(x,x \ (y \ x)). T(x,x \ (y \ x)) = T(x,y \ 1). T(x * y,(x * y) \ y) = T(x * y,x \ 1). T(x,x \ y) = T(x,(x / y) \ 1). T(x,(x / y) \ 1) = T(x,x \ y). (x \ (y \ x)) * T(x,y \ 1) = y \ x. (x \ y) / T(y,x \ 1) = y \ (x \ y). T(x,y \ 1) \ x = x \ ((y \ x) / ((y \ x) / x)). x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). (x / y) \ T(x,x \ y) = x * (y / x). (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). (x / (y * x)) \ T(x,x \ (y * x)) = x * y. ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). ((x * 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. x != T(y * z,y \ 1) | x = y * ((y * z) * (z / (y * z))). ((x * y) \ y) \ y = x * ((x * y) * (y / (x * y))). x * ((x * y) * (y / (x * y))) = ((x * y) \ y) \ y. x != T(y,(z \ 1) \ 1) | x = T(y,z). (((x \ 1) * y) \ y) \ y = T((x \ 1) * y,x). T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. (1 / x) \ y != (y \ ((1 / x) \ y)) * z | T(y,x) = z. (x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z. (x / (y * x)) \ T(x,T(y,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). x != (y / z) \ T(y / z,z) | x = z \ (y / (y / z)). x * T(x \ 1,y) = y \ ((x \ y) / ((x \ y) / y)). x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). (x * T(x \ 1,y)) \ y = T(y,T((x \ z) / z,y)). T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. x != y \ ((z \ y) / ((z \ y) / y)) | x = T(y,z \ 1) \ y. x * T(x \ 1,y) = T(y,x \ 1) \ y. T(x,y \ 1) \ x = y * T(y \ 1,x). x != y * T(y \ 1,z) | x = K(z \ (z / y),z). T(x,y \ 1) \ x = K(x \ (x / y),x). K(x \ (x / y),x) = T(x,y \ 1) \ x. T(x,(y \ 1) \ 1) \ x = y \ T(y,x). L(x,T(y \ 1,z),y) = (T(z,y \ 1) \ z) \ (y * (T(y \ 1,z) * x)). (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. K(x \ (x / y),x) \ x = T(x,y \ 1). T(x,y) \ x = y \ T(y,x). T(x,y / x) \ x = x \ (y / (y / x)). x * (T(x,y) \ x) = (y * x) / y. (x * y) / x = y * (T(y,x) \ y). x * ((T(y,x) \ y) * z) = T(x,y) * z. (T(x,y) \ x) * z = T(y,x) * (y \ z). T(x,y) * (x \ z) = (T(y,x) \ y) * z. K(x,y) = T(x \ T(x,y),y * x). x != y * (T(y,y \ z) \ y) | x = z / (z / y). ((x \ y) * x) / (x \ y) = y / (y / x). T(x * (T(x,y) \ x),y) = x. x \ ((x * y) / x) = ((y * x) / y) \ y. ((x * y) / x) \ x = y \ ((y * x) / y). T(x / (x / y),y \ x) = y. T(x,x \ y) = y / (y / x). T(x / (x / (x / y)),y) = x / y. (x \ y) * x = (y / (y / x)) * (x \ y). (x / (x / y)) * (y \ x) = (y \ x) * y. (x \ y) \ y = y / (y / x). x / (x / y) = (y \ x) \ x. T(x \ y,(x \ y) \ y) = y / x. T(x,x \ y) \ y = y / x. x / (x / y) != z | (y \ x) \ x = z. T(x / (x / y),x) = L(y,y \ x,y). x / y = ((y \ x) \ x) \ x. ((x \ y) \ y) \ y = y / x. x != y / z | x = T(z \ y,z). ((x \ y) \ y) \ y = T(x \ y,x). T(x \ y,x) = ((x \ y) \ y) \ y. x != T(y \ T(y,z \ 1),u) | x = y \ T(y,T(z,u) \ 1). K(x,y \ 1) = x \ T(x,T(y,(y \ 1) * x) \ 1). x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). (x * (y / x)) / x = y / (y / (y / x)). T(x / y,x) = L(y \ x,(y \ x) \ x,y \ x). L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). L(T(x,y),x \ z,x) = T(T(z / (z / x),z),y). T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). x * T(x / (x / y),x) = y * ((y \ x) * y). K(x \ y,x) \ x = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = K(x \ y,x) \ x. x != T(y,z / y) \ y | x = z / (y * (z / y)). x \ (y / (y / x)) = y / (x * (y / x)). x / (y * (x / y)) = y \ (x / (x / y)). T(x,T(y,x)) = T(x,y). (x / y) * z != T(x / y,u) * x | z = y * T(y \ x,u). (T(x,y / z) \ x) * y = z * T(z \ y,x). x * y = T(x,y) * T(y,x). T(x,y) * T(y,x) = x * y. T(x,y) \ (x * y) = T(y,x). x != T(y,T(z,y)) | x = (y / T(z,y)) * z. T(x,y) = (x / T(y,x)) * y. (x / T(y,x)) * y = T(x,y). x != T(y,T((y \ 1) * z,y)) | x = T(y,y \ z). T(x,(x \ 1) * y) = T(x,x \ y). x * y != T(z,T(u,z)) | T(z,u) / y = x. T(x,y) / y = x / T(y,x). T(x,y) / (T(y,x) \ x) = y. x * y != T(z,T(u,z)) | x \ T(z,u) = y. x \ T(y,x) = T(x,y) \ y. T(x,y) \ y = x \ T(y,x). T(T(x,y),z) = T(T(x,z),T(y,x)). T(T(x,y),T(z,x)) = T(T(x,z),y). T(x,T(T(y,x),z)) = T(x,T(y,z)). L(T(x,y),z,u) = T(L(x,z,u),T(y,x)). T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). (x * y) / T(y,x) = T(x,y). T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. (x * y) * T(x,y) = R(x,y,x) * (x * y). R(x,y,x) * (x * y) = (x * y) * T(x,y). K(T(x,y),T(y,x)) = K(x,y). T(x,y) \ x != z | y \ T(y,x) = z. (x / (y * x)) \ T(x,y) = x * y. a(T(x,y),T(y,x),z) = (T(x,y) * (T(y,x) * z)) \ ((x * y) * z). (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. (x \ (y * x)) \ (y * x) = T(x,y). T(x,y) = (x \ (y * x)) \ (y * x). (T(x,y) / y) \ x = T(y,x). (x / T(y,x)) * y != z | z = T(x,y). (x / T(y,x)) * y != z | T(x,y) = z. T(x * (y / x),x) = x * (y / T(x,y)). T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,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) = (x \ y) \ y. (x * (y / x)) / T(x,x \ y) = y / x. (x * (y / x)) * x = y * T(x,x \ y). x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. T(x,y) * T(T(y,x),x * y) = (T(y,x) * (x * y)) / T(y,x). (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). (x * (y / x)) * x = y * ((x \ y) \ y). x != T(y,(y \ 1) * z) | x = T(y,(1 / y) * z). T(x,x \ y) = T(x,(1 / x) * y). T(x,(1 / x) * y) = T(x,x \ y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). T(x,T(T(y,x),z)) = T(x,T(y,T(z,T(y,x)))). T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). T(x,y) / (x * y) = x / (y * x). x / T(y,(1 / y) * x) = y \ x. x != y / (z * y) | x = R(1 / z,z,y). T(x,y) / (x * y) = R(1 / y,y,x). T(x,x \ y) / y = x / ((x \ y) * x). x / T(y \ 1,y * x) = (y \ 1) \ x. T(x,T(y,x)) != z | T(x,y) = z. R(1 / x,x,T(y,x)) = R(1 / x,x,y). x != (T(y,z) \ y) * u | x = z * (((y * z) / y) \ u). T(x,y) * (x \ z) = x * (((y * x) / y) \ z). x * (((y * x) / y) \ z) = T(x,y) * (x \ z). R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. x * K(x,y / x) = K(x \ y,x) \ x. K(x \ y,x) \ x = x * K(x,y / x). (x * y) \ (y * T(x,x \ y)) != z | a(x,y / x,x) = z. (x \ T(y,x \ 1)) * y = (x \ y) * T(y,y \ (x \ y)). (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. x * y != z * ((x \ z) \ z) | T(x * (z / x),x) = y. T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). (x \ y) / T(x \ 1,y) = (x \ 1) \ (x \ y). ((x \ 1) \ y) \ y = T(x \ 1,x * y). T(x \ 1,x * y) = ((x \ 1) \ y) \ y. R(1 / x,x,x \ y) = R(1 / x,x,y / x). R(1 / x,x,y / x) = R(1 / x,x,x \ y). K(x \ y,x) \ 1 = K(x,y / x). K(x,y) \ 1 = K(y,(y * x) / y). K(x,(x * y) / x) = K(y,x) \ 1. x != K(y,(y * z) / y) | x = K(T(y,z),z). K(x,y) \ 1 = K(T(y,x),x). K(T(x,y),y) = K(y,x) \ 1. K(x,y) = K(T(y,x),x) \ 1. K(T(x,y),y) \ 1 = K(y,x). K(x / y,y) = K(y,y \ x) \ 1. K(x,x \ y) \ 1 = K(y / x,x). K(T(x,y),y) * K(y,x) = 1. x * K(y,z) != 1 | x = K(T(z,y),y). x * K(y,z) != 1 | K(T(z,y),y) = x. R(x,K(x,y),z) = x. R(T(x,y),K(x,z),u) = T(x,y). x * (K(x,y) * z) = (x * K(x,y)) * z. (x * K(x,y)) * z = x * (K(x,y) * z). L(x,y,z) * (K(x,u) * w) = (L(x,y,z) * K(x,u)) * w. (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). K(T(x,y),y) \ 1 != z | z = K(y,x). K(T(x,y),y) \ 1 != z | K(y,x) = z. R(T(x,y),z,u) * (K(x,w) * v5) = (R(T(x,y),z,u) * K(x,w)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. L(x,K(y,z),y) = x. x != (y * K(y,z)) * u | x = K(y,z) * (y * u). x * (K(x,y) * z) = K(x,y) * (x * z). K(x,y) * (x * z) = x * (K(x,y) * z). K(x,y) * z = x * (K(x,y) * (x \ z)). x * (K(x,y) * (x \ z)) = K(x,y) * z. K(x,y) * z != x * u | K(x,y) * (x \ z) = u. x * (y * z) != (u * z) * T(y,z) | x = R(u,z,T(y,z)). R(x,y,x) = R(x,y,T(x,y)). R(x,y,T(x,y)) = R(x,y,x). x * y != y * z | x = T(z,y). R(x,y,x) = T(T(x,y),x * y). T(T(x,y),x * y) = R(x,y,x). x * R(y,x,y) = T(y * x,y). (x * y) * R(x,y,x) = T(x * y,x) * T(x,y). T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). x != T(T(y,z),y * z) | x = z \ T(y * z,y). R(x,y,x) = y \ T(x * y,x). x \ T(y * x,y) = R(y,x,y). R(x,y,x) = L(x,y,x). x \ T(y * x,y) != z | z = R(y,x,y). x \ T(y * x,y) != z | R(y,x,y) = z. L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). (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,x) = x. x != L(R(y,z * y,y),z * y,y) | x = T(z \ T(z * y,y),T(z * y,y)). x = T(y \ T(y * x,x),T(y * x,x)). T(x \ T(x * y,y),T(x * y,y)) = y. x * (y * x) = (L(x,y,x) * y) * x. (L(x,y,x) * y) * x = x * (y * x). (x * (y * x)) / x = L(x,y,x) * y. x * y != y * (z * y) | x = z * T(y,z * y). L(x,y,x) * y = y * T(x,y * x). x * T(y,x * y) = L(y,x,y) * x. L(x,y,x) * y = T(y * x,x). x * T(y,y * x) = T(x * y,y). x * y != T(z,u) | x \ ((u * z) / u) = y. L(x,y,x) \ ((x * (y * x)) / x) = y. T(x,L(x,y,x) * y) = T(x,y * x). T(x,x * y) = T(x,y * x). T(x,y * x) = T(x,x * y). T(R(x,y,z),R(x,y,z) * u) = R(T(x,u * R(x,y,z)),y,z). R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). T(x,(x \ y) * x) = T(x,y). T(T(x,x * y),z) = T(T(x,z),y * x). T(T(x,y * x),z) = T(T(x,z),x * y). T(x,T(y,y * x)) = T(x,y). ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. R(T(x,y),x \ y,x) = T(x,x \ y). (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,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. T((x * y) / x,L(x,y,x)) = y. (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. T(x,y) = T(x,L(y,x,y)). T(x,L(y,x,y)) = T(x,y). L(x,y,x) * T(y,x) = y * L(x,y,x). x != T(y,z * y) | x = T(y,y * z). T(x,L(x,y,x) * y) = T(x,x * y). R(T(x,y),x \ y,x) = (x \ y) \ y. R(T(x,x * y),y,T(x,x * y)) = T(x,y). K(x,y) = K(x,x \ T(x * y,y)). K(x,x \ T(x * y,y)) = K(x,y). x != K(y,y \ T(y * z,z)) | x = (y * R(z,y,z)) \ T(y * z,z). K(x,y) = (x * R(y,x,y)) \ T(x * y,y). T(T(x,y),x * z) = T(T(x,y),z * x). T(T(x,y),z * x) = T(T(x,y),x * z). T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. x * L(y,x,y) != z * T(x,y) | L(y,x,y) = z. x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. K(x,y) = T(y * x,y) \ T(x * y,y). x != T(y * z,y) \ T(z * y,y) | x = K(y \ T(y * z,y),y). K(x,y) = K(y \ T(y * x,y),y). K(x \ T(x * y,x),x) = K(y,x). K(x \ T(y,x),x) = K(x \ y,x). K(x \ y,x) = K(x \ ((x * y) / x),x). K(x \ ((x * y) / x),x) = K(x \ y,x). 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,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). x != T(y,T(T(z,y),u)) | x = T(y,T(z,u)). T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). x != y * (((z * y) / z) \ u) | x = ((z * y) / z) \ (y * u). T(x,y) * (x \ z) = ((y * x) / y) \ (x * z). ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). x != T(y * (z / y),y) | x = y * (z / T(y,z)). x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). R(1 / x,x,x \ y) \ (y / x) = x * (y / x). T(x,(y \ x) * y) = x. T((x \ y) * x,y) = (x \ y) * x. T(x * (y / x),y) = x * (y / x). ((x \ y) / y) * (x * (y / x)) = y / x. x != (y * T(y \ 1,z)) \ z | x = T(z,T(y \ 1,z)). T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). T(x,(y \ z) / z) = T(x,T(y \ 1,x)). T(x,T(y \ 1,x)) = T(x,(y \ z) / z). T(x,y \ 1) = T(x,(y \ z) / z). T(x,(y \ z) / z) = T(x,y \ 1). T(x,(y \ z) / z) != u | T(x,y \ 1) = u. T(x,y / z) = T(x,(z / y) \ 1). T(x,(y / z) \ 1) = T(x,z / y). T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). T(x,y / z) != u | T(x,(z / y) \ 1) = u. x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). x * K(x,y \ 1) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). K(x,(y \ x) / x) = K(x,y \ 1). x != K(y,((z \ 1) \ y) / y) | x = K(z \ ((z \ 1) \ y),z). K(x,(y \ 1) \ 1) = K(y \ ((y \ 1) \ x),y). K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). x != K(y,(z \ 1) \ 1) | x = K(y,z). K(x \ ((x \ 1) \ y),x) = K(y,x). x != K(y \ ((y \ 1) \ z),y) | x = K(y \ ((1 / y) \ z),y). K(x,y) = K(y \ ((1 / y) \ x),y). K(x \ ((1 / x) \ y),x) = K(y,x). K(x \ y,x) = K((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(x * y,x \ 1) = K((x \ 1) \ y,x \ 1). K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). x != K(T((1 / y) * z,y),y) | x = K(T((y \ 1) * z,y),y). K(T(x \ y,x),x) = K(T((x \ 1) * y,x),x). 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 / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z). K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). x != L(y,z,y) * T(z,y) | x = z * L(y,z,y). T(x,y) * T(y,y * x) = x * L(y,x,y). T(x,y) * T(y,x * y) = x * L(y,x,y). L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). L(x,y,x) = L(x,T(y,x),x). L(x,T(y,x),x) = L(x,y,x). (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 != K(y \ T(z,y),y) | x = K(y \ z,y). T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). x * y != T((y \ z) * y,y) | x = y \ T(z,y). ((x \ y) * x) / T(x,y) = x \ T(y,x). (x \ T(y,x)) * T(x,y) = (x \ y) * x. R(K(x,y),x,z) != u | K(x,y) = u. (x \ y) * T(y,x \ 1) = (x \ T(y,x \ 1)) * y. (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). L(x,K(y,z),L(y,u,w)) = x. (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),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,x \ y)) \ y = (x \ y) * x. (x \ ((x \ y) \ y)) \ y = (x \ y) * x. x / ((y \ x) * y) = y \ ((y \ x) \ x). x != y \ ((y \ z) \ z) | x = (y * (z / y)) / z. x / ((y \ x) * y) = (y * (x / y)) / x. (x * (y / x)) / y = y / ((x \ y) * x). T(x * (y / x),y) / y = y / ((x \ y) * x). T((x \ y) * x,y) / y = y / ((((x \ 1) * y) \ y) * ((x \ 1) * y)). x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. x != T(y \ 1,z) * (T(y \ 1,(y \ 1) \ 1) \ u) | x = T(1 / y,z) * ((y \ 1) \ u). (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). ((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) | y = T(x / (x / z),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. (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. x != (y \ T(y,y \ z)) * z | x = y * (z / y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). (x \ T(x,y)) \ z = (T(x,y) \ x) * z. x * (T(x,y) \ z) = (T(x,y) \ x) * z. (T(x,y) \ x) * z = x * (T(x,y) \ z). x * y = (T(x,z) \ x) * (T(x,z) * y). (T(x,y) \ x) * (T(x,y) * z) = x * z. x != (T(y,z) \ y) * u | x = T(z,y) * (z \ u). (x \ T(x,y)) \ z = T(y,x) * (y \ z). (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. x * (T(x,y) \ z) = T(y,x) * (y \ z). T(x,y) * (x \ z) = y * (T(y,x) \ z). x != (T(y,z / u) \ y) * z | x = u * T(u \ z,y). x * (T(x,y / z) \ y) = z * T(z \ y,x). x * T(x \ y,z) = z * (T(z,y / x) \ y). (T(x,y) \ x) \ z = T(x,y) * (x \ z). x * y = T(z,x) * (z \ (T(x,z) * y)). T(x,y) * (x \ (T(y,x) * z)) = y * z. x * y != (T(z,u) \ z) * (T(z,u) * w) | x \ (z * w) = y. x \ (y * z) = ((y * x) / y) \ (T(y,x) * z). ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). x * (y * z) = T(x,y) * (T(y,x) * z). T(x,y) * (T(y,x) * z) = x * (y * z). x * y != (z \ T(z,u)) \ (((z * u) / z) * w) | x \ (u * w) = y. T(x,y) \ (x * z) = x \ (((y * x) / y) * z). x \ (((y * x) / y) * z) = T(x,y) \ (x * z). T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. x != y * (z * u) | x = (y * z) * L(u,z,y). T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). 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. x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. L(x,y \ z,T(y,z)) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). x != T(y,z) \ (y * u) | x = y * (T(y,z) \ u). x \ (((y * x) / y) * z) = x * (T(x,y) \ z). x * (T(x,y) \ z) != u | ((y * x) / y) * (x \ z) = u. (x * y) \ T(x,y) = L(T(y,x) \ 1,y,x). L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). L(x,y \ z,y) = L(x,y \ z,T(y,z)). L(x,y \ z,T(y,z)) = L(x,y \ z,y). (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). a(x,y,z) = a(T(x,y),T(y,x),z). a(T(x,y),T(y,x),z) = a(x,y,z). a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. R(x,T(y,x),T(x,y)) = R(x,y,x). x != R(y,T(z,y),T(y,z)) | x = R(y,T(z,y),y). R(x,y,x) = R(x,T(y,x),x). R(x,T(y,x),x) = R(x,y,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) | x = (y \ z) \ T(z,y). R(x,y / x,x) = (x \ y) \ T(y,x). x != R(y,(z \ y) / y,y) | x = ((z \ T(y,z \ 1)) * y) / (z \ y). R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). R(x,y,x) = (x \ (y * x)) \ T(y * x,x). (x \ (y * x)) \ T(y * x,x) = R(x,y,x). R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). x != T(y,T(z,u)) / (T(T(z,y),u) \ y) | x = T(z,u). T(x,T(y,T(x,z))) = T(x,y). T(x / (x / y),T(z,y)) = T(x / (x / y),z). T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). x / (y * (x / y)) = T((y \ x) * y,x) / x. T((x \ y) * x,y) / y = y / (x * (y / x)). ((x \ y) * x) / y = y / (x * (y / x)). x != y / (z * (y / z)) | x = z \ (y / (y / z)). ((x \ y) * x) / y = x \ (y / (y / x)). x != ((y \ z) * y) / z | x = (1 / z) * ((y \ z) * y). x \ (y / (y / x)) = (1 / y) * ((x \ y) * x). (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). (x * T(1 / x,y)) * z = T(1 / x,y) * ((x \ 1) \ z). T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. (x \ 1) * y = T(1 / x,z) * ((x * T(1 / x,z)) \ y). T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. x != (T(y,z) \ y) \ u | x = T(y,z) * (y \ u). L(x,T(y \ 1,z),y) = T(z,y \ 1) * (z \ (y * (T(y \ 1,z) * x))). T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). x != T(y,z \ 1) * (y \ (z * u)) | x = z * (T(y,z \ 1) * (y \ u)). L(x,T(y \ 1,z),y) = y * (T(z,y \ 1) * (z \ (T(y \ 1,z) * x))). x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). x * ((x \ 1) * y) = L(y,T(x \ 1,z),x). L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). L(x,T(y \ 1,z),y) = L(x,y \ 1,y). x != L(T(1 / y,z) \ u,T(y \ 1,z),y) | x = (y * T(1 / y,z)) \ (y * u). L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). 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). K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). x != T(1 / y,z) * ((y * T(1 / y,z)) \ u) | x = (y \ 1) * u. T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). K(x \ 1,x) * (y * K(x,x \ 1)) = R(y,K(x \ 1,x),(1 / x) * z). R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). x != K(y \ 1,y) * (z * K(y,y \ 1)) | x = z. R(x,K(y \ 1,y),(1 / y) * z) = x. R(x,K(y \ 1,y),z) = x. x != R(y,K(z \ 1,z),u) | x = R(y,u,K(z \ 1,z)). x = R(x,y,K(z \ 1,z)). R(x,y,K(z \ 1,z)) = x. x * (K(y \ 1,y) * z) = (x * K(y \ 1,y)) * z. (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). x != R(K(y,y \ 1) * (z / u),u,K(y \ 1,y)) | x = z / (u * K(y \ 1,y)). K(x,x \ 1) * (y / z) = y / (z * K(x \ 1,x)). x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). x != R(R(y,z,(u \ 1) \ 1),z * T(u,u \ 1),K(u \ 1,u)) | x = R(y,z,u). R(x,y,(z \ 1) \ 1) = R(x,y,z). x != R((y * K(z,z \ 1)) / u,u,K(z \ 1,z)) | x = y / (u * K(z \ 1,z)). (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). R(x,y,K(z,1 / z)) = x. x * (y * K(z \ 1,z)) = (x * y) * K(z \ 1,z). (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). x \ K(y \ 1,y) = (x \ 1) * K(y \ 1,y). (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). R(x,y,K(z,z \ 1)) = x. R(x,y,K(1 / z,z)) = x. x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). x * (y * K(z,1 / z)) = (x * y) * K(z,1 / z). (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). R(x,y,1 / z) = R(x,y,z \ 1). x != R(T(y,z * K(u,u \ 1)),z,K(u,u \ 1)) | x = T(y,z). T(x,y * K(z,z \ 1)) = T(x,y). x * (y * K(z,z \ 1)) = (x * y) * K(z,z \ 1). (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). x \ K(y,y \ 1) = (x \ 1) * K(y,y \ 1). (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). x * (y * K(1 / z,z)) = (x * y) * K(1 / z,z). (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). x != T(y,R(1 / z,u,w)) | x = T(y,R(z \ 1,u,w)). T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). T(x,y * K(z \ 1,z)) = T(x,y). T(x,K(y,y \ 1) * z) = T(x,z). T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). T(x,y) = T(x,K(z \ 1,z) * y). T(x,K(y \ 1,y) * z) = T(x,z). T(x,y * (1 / z)) = T(x,y * (z \ 1)). T(x,y / (z \ 1)) = T(x,y / (1 / z)). T(x,y / (1 / z)) = T(x,y / (z \ 1)). T(x,T(y,y \ 1) * z) = T(x,y * z). 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,T((y \ 1) \ 1,z) * u) = T(x,T(y,z) * u). T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). T(x,K(y,1 / y) * z) = T(x,z). T(x,T(y \ 1,z) * u) = T(x,T(1 / y,z) * u). T(x,T(1 / y,z) * u) = T(x,T(y \ 1,z) * u). x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. T(x,y * K(z,y)) = T(x,(y \ 1) \ K(z,y)). T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). (x \ 1) * y = T((x \ 1) * y,x \ y). T((x \ 1) * y,x \ y) = (x \ 1) * y. T(x,T(y,y \ 1) \ z) = T(x,y \ z). T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). K((x \ 1) * y,x \ y) = 1. K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). L(x,K(y \ 1,y),z) = 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). K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). L(x,K(y,y \ 1),z) = x. L(x,y * (1 / y),z) = x. x != K(y,y \ 1) * (1 / z) | x = K(y,y \ 1) / z. 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R((z * K(y \ 1,y)) \ 1,u,w)). T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). K(L(x,y,z) \ 1,x) = K(x \ 1,x). K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). L(K(x \ 1,x),y,z) = K(x \ 1,x). (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). x != K(L(y,z,u) \ 1,y) | x = (L(y,z,u) \ y) \ ((L(y,z,u) \ 1) * y). K(x \ 1,x) = (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x). (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). x != y \ (z * K(u \ 1,u)) | x = (K(u,u \ 1) * y) \ z. (x \ y) * K(z \ 1,z) = (K(z,z \ 1) * x) \ y. (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). x \ (y \ 1) = (x \ (1 / y)) * K(y \ 1,y). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). T(x,y \ (z \ 1)) = T(x,y \ (1 / z)). T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). x * K(y,1 / y) != (K(y,1 / y) * z) * u | x = z * u. (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). L(K(x,x \ 1),y,z) = K(x,x \ 1). R(x * y,L(z,y,x),K(u,u \ 1)) \ (x * ((y * z) * K(u,u \ 1))) = L(z,y,x) * K(u,u \ 1). x != L(K(y,y \ 1),z,u) | x = L(y,z,u) * ((1 / y) * (L(y,z,u) \ y)). K(x,x \ 1) = L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). 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 != y * K(z,z \ 1) | x = K(z,z \ 1) * y. x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). L(K(1 / x,x),y,z) = K(1 / x,x). x * y != (R(y,z,u) \ 1) * ((y \ 1) \ 1) | x = 1 / R(y,z,u). R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). R(x,y,z) * u != K(x,x \ 1) | u = (1 / x) * (R(x,y,z) \ x). 1 / R(x,y,z) = (1 / x) * (R(x,y,z) \ x). (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. x != (1 / y) \ (1 / R(y,z,u)) | x = (y \ R(y,z,u)) \ 1. R(x,y,z) \ x = (x \ R(x,y,z)) \ 1. (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. x != (1 / y) \ (1 / R(y,z,u)) | x = (y \ 1) \ (R(y,z,u) \ 1). R(x,y,z) \ x = (x \ 1) \ (R(x,y,z) \ 1). (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. (x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1. K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). T(x,(y \ z) \ u) = T(x,(((y \ 1) \ 1) \ z) \ u). T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). x != y \ (K(z,z \ 1) * u) | x = (K(z \ 1,z) * y) \ u. K(x,x \ 1) * (y \ z) = (K(x \ 1,x) * y) \ z. (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * 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. a(x,K(y,y \ 1) * z,u) = (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u). (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). K((x \ y) \ 1,x \ y) != z | z = K(y \ x,x \ y). K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. x \ T(x * (y / x),z) = T(y,z) / x. x * (T(y,z) / x) = T(x * (y / x),z). T(x * (y / x),z) = x * (T(y,z) / x). x \ T(x * y,z) = T(y * x,z) / x. T(x * y,z) / y = y \ T(y * x,z). (x \ T(x * (y / x),z)) * x = T(y,z). (x \ 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 * x,z) = T(x * y,z) / x. T(x * y,z) / x = x \ T(y * x,z). T(x * ((y / z) / x),z) = x * ((z \ y) / x). T(x * (y / x),y \ z) = x * (((y \ z) \ z) / x). T(x * (y / x),x \ y) = x * T(y / x,y). T(x * (y / x),K(y,z)) = x * (y / x). T(x * (y / x),z / y) = x * (T(y,y \ z) / x). ((1 / x) \ y) * (1 / x) = x \ T(x * y,1 / x). x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). x != y \ T(y * z,u) | x = (y \ 1) * T((y \ 1) \ z,u). T(x * y,z) / y = (y \ 1) * T((y \ 1) \ x,z). (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. (x \ T(x * y,z)) * x = T(y * x,z). T(x \ T(x * y,z),x) = x \ T(y * x,z). T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. x != (y \ T(y * (z / y),u)) * y | x = K(y \ 1,y) * T(K(y,y \ 1) * z,u). T(x,y) = K(z \ 1,z) * T(K(z,z \ 1) * x,y). K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). (x \ T(y,z)) * x = T((x \ y) * x,z). T((x \ y) * x,z) = (x \ T(y,z)) * x. T(K(x,y),z * (x / z)) = K(x,y). T(K(x * y,z),y * x) = K(x * y,z). x != T(y * (z / y),y) | x = y \ (z * ((y \ z) \ z)). ((x / y) \ T((x / y) * y,y)) * (x / y) = y \ (x * ((y \ x) \ x)). T(x,T(y * x,z)) = T(x,T(x * y,z)). T((x \ y) * x,z) != u * x | x \ T(y,z) = u. x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x. (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). T(x \ T(x * y,y),x) != z | R(y,x,y) = z. x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x. ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). x != T(y,z) / (z \ y) | x = (y * z) / y. (x \ y) \ T((x \ y) * x,x) = (y * x) / y. x != y * (T(z,u) / y) | x = T(y * (z / y),u). T(x * (y / x),z / y) = T(x * (y / x),y \ z). ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). T(x,y) * K(z,z \ 1) = T(K(z,z \ 1) * x,y). T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). ((x * ((y / z) / 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 \ (x \ z)) * y)) / x = (y \ (z / x)) * y. x != ((y \ (z / u)) * y) * u | x = ((y \ (z * (u \ 1))) * y) / (u \ 1). x * ((y \ (x \ z)) * y) = ((y \ (z * (x \ 1))) * y) / (x \ 1). ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). T(x \ y,z) = T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1). T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. ((x \ (y / z)) * x) * z != u | u = z * ((x \ (z \ y)) * x). ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. (x \ y) * T(x,y) = (x \ ((x * y) / x)) * x. (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). x / (y * ((x \ 1) \ 1)) = (1 / (1 / x)) / (y * x). (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). x != y * (z \ T(z * (y \ u),y)) | x = ((y \ (u / (z \ 1))) * y) * (z \ 1). ((x \ (y * z)) * x) / z = ((x \ (y / (z \ 1))) * x) * (z \ 1). ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. T(x,T(y \ z,u)) = T(x,T(((y \ 1) \ 1) \ z,u)). T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). T(x,T((y \ 1) \ z,u)) = T(x,T((1 / y) \ z,u)). T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). L(x,y * K(z \ 1,z),u) = (u * y) \ (K(z,z \ 1) * (u * (K(z \ 1,z) * (y * x)))). (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). x * y != (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). ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). ((x / y) \ T(x,y)) * (x / y) = y \ (x * ((y \ x) \ x)). ((x * y) / x) * (x / y) = y \ (x * ((y \ x) \ x)). x \ (y * ((x \ y) \ y)) = ((y * x) / y) * (y / x). x != y \ (z * ((y \ z) \ z)) | x = y * (z / T(y,z)). ((x * y) / x) * (x / y) = y * (x / T(y,x)). ((x * y) / x) * (x / y) != y * z | x / T(y,x) = z. ((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) \ (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). T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). x != T(y,R(K(z,z \ 1) / u,w,v5)) | x = T(y,R(u \ 1,w,v5)). T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). x != (y * ((z / u) / y)) * u | x = u * (y * ((u \ z) / y)). (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). (((x \ (1 / y)) * x) * y) * z = (y * z) * ((x \ ((y * z) \ z)) * x). (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. x != ((y * ((z \ y) \ u)) / u) * (z \ u) | x = z \ (y * ((z \ y) \ u)). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). (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 * (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)) | x = L(u,z,y). L(x,y * K(z \ 1,z),u) = L(x,y,u). L(x,y,z) = L(x,(y \ 1) \ 1,z). L(x,(y \ 1) \ 1,z) = L(x,y,z). L(x,y,z) = L(x,T(y,y \ 1),z). L(x,T(y,y \ 1),z) = L(x,y,z). L(x,K(y \ 1,y) * z,u) = L(x,z,u). L(x,y * (z \ 1),u) = L(x,y * (1 / z),u). L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). L(x,(y \ 1) * z,u) = L(x,(1 / y) * z,u). L(x,(1 / y) * z,u) = L(x,(y \ 1) * z,u). L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). L(x,T(y \ 1,z),u) = L(x,T(1 / y,z),u). L(x,T(1 / y,z),u) = L(x,T(y \ 1,z),u). (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). x * (T(y,y \ 1) * z) != (x * T(y,y \ 1)) * u | L(z,y,x) = u. (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). x != y / (K(z \ 1,z) * u) | x = K(z,z \ 1) * (y / u). 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). x != K(y,y \ 1) * R(K(y \ 1,y) * z,u,w) | x = R(z,u,w). 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). 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. 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). (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). a(R(x,y,z),u,x) = a(x,T(u,x),R(T(x,u),y,z)). a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). x != a(y,z,u) | x = a(T(y,z),T(z,y),u). a(R(x,y,z),u,x) = a(T(x,T(u,x)),T(T(u,x),x),R(T(x,u),y,z)). a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). (x * (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 * (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 != (y * K(z \ 1,z)) * K(z,z \ 1) | x = y. a(x,K(y,y \ 1) * z,u) = a(x,z,u). a(x,y * K(z,z \ 1),u) = a(x,y,u). (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). (x * y) \ (x * ((y * z) * K(u,u \ 1))) = L(z,y,x) * K(u,u \ 1). (x * y) \ (x * (y * (z * K(u,u \ 1)))) = L(z,y,x) * K(u,u \ 1). L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). L((x \ 1) \ 1,y,z) = L(x,y,z) * K(x,x \ 1). L(x,y,z) * K(x,x \ 1) = L((x \ 1) \ 1,y,z). L(1 / x,y,z) = L(x \ 1,y,z) * K(x,x \ 1). L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). x * y != L(z,u,w) * K(z,z \ 1) | x \ L((z \ 1) \ 1,u,w) = y. x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). L(1 / x,y,z) \ 1 = L(x \ 1,y,z) \ K(x \ 1,x). L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. x != y \ L((y \ 1) \ 1,z,u) | x = T(L(y,z,u) * (1 / y),y). L(x,y,z) * (1 / x) = T(L(x,y,z) * (1 / x),x). T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). (x \ L(x,y,z)) * x = L(x,y,z). L(x,y,z) / x = x \ L(x,y,z). x != L(y,z,u) / y | x = (1 / y) * L(y,z,u). x \ L(x,y,z) = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = x \ L(x,y,z). L(x,y,z) * u != x \ L(x,y,z) | T(1 / x,L(x,y,z)) = u. T(1 / x,L(x,y,z)) = x \ 1. T(x \ 1,L(x,y,z)) = 1 / x. x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). x != K(y \ 1,y) * L(z * K(y,y \ 1),u,w) | x = (y \ L(y * (z / y),u,w)) * y. L(x,y,z) = (u \ L(u * (x / u),y,z)) * u. (x \ L(x * (y / x),z,u)) * x = L(y,z,u). K(x \ 1,x) * L(y,z,u) = L(K(x \ 1,x) * y,z,u). L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). (x \ L(x * y,z,u)) * x = L(y * x,z,u). x * (L(y,z,u) / x) = L(x * (y / x),z,u). L(x * (y / x),z,u) = x * (L(y,z,u) / x). (x \ L(y,z,u)) * x = L((x \ y) * x,z,u). L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. x != L(y \ 1,z,u) \ K(y \ 1,y) | x = (y \ 1) * (L(y \ 1,z,u) \ y). L(1 / x,y,z) \ 1 = (x \ 1) * (L(x \ 1,y,z) \ x). (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). x * y != L((z \ ((u \ 1) \ w)) * z,u \ 1,u) | x \ ((z \ (u * w)) * z) = y. x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). x != (y \ 1) * ((z \ ((y \ 1) \ u)) * z) | x = ((z \ (u * y)) * z) / y. x \ ((y \ (x * z)) * y) = ((y \ (z * x)) * y) / x. ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | u = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. x != L((y \ ((z \ 1) \ 1)) * y,z \ 1,z) | x = z * (y \ (z / (z / y))). (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). (x \ y) * x = y * (x \ (y / (y / x))). x * (y \ (x / (x / y))) = (y \ x) * y. x * y != (z \ x) * z | y = K(z \ x,z). x \ (y / (y / x)) = K(x \ y,x). x != y \ (z / (z / y)) | x = (1 / z) * ((y \ z) * y). K(x \ y,x) = (1 / y) * ((x \ y) * x). (1 / x) * ((y \ x) * y) = K(y \ x,y). x != y \ (z / (z / y)) | x = ((y \ z) * y) / z. K(x \ y,x) = ((x \ y) * x) / y. ((x \ y) * x) / y = K(x \ y,x). x * K(x \ y,x) = y / (y / x). x / (x / y) = y * K(y \ x,y). x != ((y \ z) * y) / z | x = ((y \ z) * y) * (z \ 1). K(x \ y,x) = ((x \ y) * x) * (y \ 1). ((x \ y) * x) * (y \ 1) = K(x \ y,x). K(x \ y,x) * y = (x \ y) * x. x != (y \ 1) * K(z,y \ 1) | x = y \ K(z,y \ 1). x / (x / (y \ 1)) = y \ K((y \ 1) \ x,y \ 1). x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). (x * y) / ((x * y) / x) = x * K(y,x). T(x * K(x \ y,x),y) = L(x,x \ y,x). T(x,y) / (T(x,y) / y) = y * K(y \ x,y). K(x \ y,x) * ((x \ y) \ y) = x. T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). (x * y) * ((y * x) \ 1) = K(y \ (y * x),y). K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). T(x,y) \ x = K(y,x). K(x,y) = T(y,x) \ y. x != T(y,z) \ y | x = (z * y) / (y * z). K(x,y) = (x * y) / (y * x). x != T(y,z) \ y | x = ((y * z) / y) \ z. K(x,y) = ((y * x) / y) \ x. x != T(y \ 1,z) \ (y \ 1) | x = (y * T(y \ 1,z)) \ 1. K(x,y \ 1) = (y * T(y \ 1,x)) \ 1. (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). x != T(y,z) \ y | x = y / T(y,z). K(x,y) = y / T(y,x). x != T(y,z) \ y | x = (1 / T(y,z)) * y. K(x,y) = (1 / T(y,x)) * y. x != T(y,z) \ y | x = y * (T(y,z) \ 1). K(x,y) = y * (T(y,x) \ 1). x != T(y,z) \ y | x = z \ T(z,y). K(x,y) = x \ T(x,y). x != T(y,z \ 1) \ y | x = z * T(z \ 1,y). K(x \ 1,y) = x * T(x \ 1,y). x * T(x \ 1,y) = K(x \ 1,y). x * y != T(z,u) \ z | K(u,z) / y = x. K(x,y) / y = 1 / T(y,x). K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1. x * y != T(z,u) \ z | x \ K(u,z) = y. x \ K(y,x) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(y,x). T(x,y) * K(y,x) = x. K(x,L(y,z,u)) = L(T(y,x),z,u) \ L(y,z,u). L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). K(x,R(y,z,u)) = R(T(y,x),z,u) \ R(y,z,u). R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). x / K(y,x) = T(x,y). T(x,y) = x / K(y,x). x * K(y,z) != z | x = T(z,y). x * K(y,z) != z | T(z,y) = x. x / K(y,x) != z | z = T(x,y). x / K(y,x) != z | T(x,y) = z. ((x \ y) \ y) * K(x \ y,x) = x. K((1 / x) \ y,y) = T(y,y * x) \ y. (x \ 1) * K(y,x) = T(x,y) \ 1. K(x,y) * T(y,x) = y. K(x,y) \ y = T(y,x). T(x,y) = K(y,x) \ x. (K(x,y) / y) \ 1 = T(y,x). T(x,y) = (K(y,x) / x) \ 1. K(x,y) * (y * x) = x * y. (x * y) / x = y * K(x,y). T(x * K(y,x),y) = x. x * (K(x,y) * z) = T(x,y) * z. K(x,y) != z | x \ T(x,y) = z. T(x,y) * (x \ z) = K(x,y) * z. K(x / y,z) * x = y * T(y \ x,z). K(x \ 1,y) != z | x * T(x \ 1,y) = z. 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. K(x,y) * z != u | y * (T(y,x) \ z) = u. (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). K(K(x,1 / x) * y,z) = z / T(z,y). x != y \ T(y,z) | x = (T(y,z) * u) / (y * u). K(x,y) = (T(x,y) * z) / (x * z). (T(x,y) * z) / (x * z) = K(x,y). x != y \ T(y,L(z,u,w) \ 1) | x = L(y \ T(y,z \ 1),u,w). K(x,L(y,z,u) \ 1) = L(x \ T(x,y \ 1),z,u). L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). x != y \ T(y,z) | x = ((y * z) / y) * (z \ 1). K(x,y) = ((x * y) / x) * (y \ 1). x != y \ T(y,z) | x = ((y * z) / y) / z. K(x,y) = ((x * y) / x) / y. x != y \ T(y,z \ 1) | x = z * ((y * (z \ 1)) / y). K(x,y \ 1) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) = K(y,x \ 1). x != y \ T(y,z) | x = z \ ((y * z) / y). K(x,y) = y \ ((x * y) / x). x != y \ T(y,z) | x = (1 / y) * T(y,z). K(x,y) = (1 / x) * T(x,y). x != y \ T(y,z) | x = T(y,z) / y. K(x,y) = T(x,y) / x. x != y \ T(y,z) | x = T(y,z) * (y \ 1). K(x,y) = T(x,y) * (x \ 1). x != y \ T(y,T(z,u) \ 1) | x = T(y \ T(y,z \ 1),u). K(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). x != (1 / y) \ T(1 / y,z) | x = y * T(y \ 1,z). K(1 / x,y) = x * T(x \ 1,y). x * T(x \ 1,y) = K(1 / x,y). x * y != z \ T(z,u) | x \ K(z,u) = y. ((x * y) / x) \ K(x,y) = y \ 1. x != K(y,z \ 1) | x = K(y,1 / z). x \ T(x,y \ 1) = K(x,1 / y). x * K(x,y) = T(x,y). T(x,y) = x * K(x,y). K(L(x,y,z),u) = L(x,y,z) \ L(T(x,u),y,z). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). x * K(x,y) != z | z = T(x,y). x * K(x,y) != z | T(x,y) = z. x * K(x,y) != z * u | z \ T(x,y) = u. K(x,x / y) = x \ T(x,y \ x). x \ T(x,y \ x) = K(x,x / y). K(x,x * (y \ 1)) = x \ T(x,y \ x). K(x,y) * x = T(x,y). T(x,y) = K(x,y) * x. K(x,y) * x != z | T(x,y) = z. (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. L(x,K(y,z),y) != u | u = x. K(x,x \ y) * y = x * (y / x). K(x,y) * (x * z) = T(x,y) * z. K(x,y) \ z = x * (T(x,y) \ z). x * (T(x,y) \ z) = K(x,y) \ z. K(x,y * K(z,z \ 1)) = x \ T(x,y). T(x,y) \ x != z | z = K(y,x). T(x,y) \ x != z | K(y,x) = z. T(x,y) * y = x * (y * K(x,y)). x * (y * K(x,y)) = T(x,y) * y. 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). T(1 / (1 / x),y) = (1 / (1 / x)) / K(y,x). (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). K(x,y / x) * (x \ y) = y / x. x / T(x,y) != z | z = K(y,x). x / T(x,y) != z | K(y,x) = z. x != K(y \ z,y) \ y | x = T(y,(z \ y) \ 1). T(x,x \ y) = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = T(x,x \ y). K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). T(x,y) = T(T(x * K(z,x),y),z). T(T(x * K(y,x),z),y) = T(x,z). T(x,y) = x * K(y,x). T(x,y) != z | z = x * K(y,x). T(x,y) != z | x * K(y,x) = z. x * T(y,z) = T(y * K(x,y),z) * x. T(x * K(y,x),z) * y = y * T(x,z). (x * T(y,z)) / x = T(y * K(x,y),z). T(x * K(y,x),z) = (y * T(x,z)) / y. x * R(y,z,u) = R(y * K(x,y),z,u) * x. R(x * K(y,x),z,u) * y = y * R(x,z,u). (x * y) / x = T((x * (y * K(z,y))) / x,z). T((x * (y * K(z,y))) / x,z) = (x * y) / x. L(x,y,R(x * K(y,x),z,u)) = T(x * K(y,x),R(x * K(y,x),z,u) * y). T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). (1 / (x * K(y,x))) * L(x,z,u) = L(T(x * K(y,x),y),z,u) / (x * K(y,x)). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). 1 / (1 / x) = T(1 / (1 / (x * K(y,x))),y). T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). ((x \ 1) \ 1) * y = (y * K(x,y)) * ((x \ 1) \ 1). (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. T(K(x,y) * y,x) = y. T(x \ K(y,x \ 1),y) = x \ 1. T(K(x,y \ 1) / y,x) = 1 / y. T(x,y) = T(x,y * K(x,y)). T(x,y * K(x,y)) = T(x,y). T(x,L(y,z,u)) = T(x,L(y * K(x,y),z,u)). T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). T(x,(y / z) \ 1) = x * K(x,z / y). x != T(y,z) | x = T(y,T(z,T(y,u))). x * K(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = x * K(x,y). T(x,y) != x * z | K(x,y) = z. x \ T(x,y) != z | z = K(x,y). x \ T(x,y) != z | K(x,y) = z. L(K(x,y) \ z,K(x,y),x) = T(x,y) \ (x * z). R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. L(x,y,z) \ T(x,u) = x * (L(x,y,z) \ K(x,u)). x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). T(1 / x,y) = (1 / x) * K(x \ 1,y). (1 / x) * K(x \ 1,y) = T(1 / x,y). T(T(x,y),z) = K(T(x,z),y) * T(x,z). K(T(x,y),z) * T(x,y) = T(T(x,z),y). x * (K(y,x) * y) = y * x. L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). 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. T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. T(x,y) != z | x * K(x,y) = z. x != y * K(z,y) | x = K(z,y) * y. T(x,y) = K(y,x) * x. x * y != T(R(z,u,w),v5) | x \ R(T(z,v5),u,w) = y. R(x,y,z) \ R(T(x,u),y,z) = K(u,R(x,y,z)). x * y != T(x,z) | y = K(x,z). K(x,y) = K(y,x). T(x * K(y,x),x * y) = L(x,y,x). (x * (y * z)) / (x * y) = L(z * K(x * y,z),y,x). L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). (x * K(x * y,x)) * y = T(x * y,x). T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). x != K(y,z) | x = z / T(z,y). K(x,y) = x / T(x,y). x * K(y,z) = x * K(z,y). (x * y) * K(x,y) = y * x. T(K(x,y),K(z,y)) = K(x,y). T(K(x,y),K(x,z)) = K(x,y). a(K(x,y),y,z) = 1. R(x,K(y,x),z) = x. L(x,K(y,z),z) = x. K(x,y) * T(x,y) = x. T(x,y) * (K(z,x) * u) = (T(x,y) * K(z,x)) * u. (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). 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). (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. K(x,y) = x / ((y * x) / y). K(x \ K(x,y),x) = K(x \ 1,x). K(x,x \ y) = x / (y / (y / x)). x / (y / (y / x)) = K(x,x \ y). K(x \ y,x) * (y / x) = x \ y. x / T(x,y) != z | z = K(x,y). x / T(x,y) != z | K(x,y) = z. L(x \ T(y,z),x,K(y,z)) = (K(y,z) * x) \ y. K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). x != ((y * z) / y) \ z | x = z * (((y * z) / y) \ 1). K(x,y) = x * (((y * x) / y) \ 1). x * y != ((z * u) / z) \ u | x \ K(u,z) = y. x \ K(x,y) = ((y * x) / y) \ 1. ((x * y) / x) \ 1 = y \ K(y,x). x * y != K(z,(u * z) \ u) | K(z,z \ 1) / y = x. K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). K(x \ R(x,y,z),x) = (1 / x) * x. x * y != K(z,u) | x \ K(u,z) = y. x \ K(x,y) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(x,y). L(T(x,y) \ 1,x,z) = (z * x) \ (z * K(y,x)). (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). x \ (y * K(z,y \ x)) = L(T(y \ x,z) \ 1,y \ x,y). L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). 1 / (x \ K(y,x)) = T(x,y). T(x,y) = 1 / (x \ K(y,x)). 1 / (x \ K(y,x)) != z | z = T(x,y). 1 / (x \ K(y,x)) != z | T(x,y) = z. T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). T(x,x \ K(y,x)) = T(x,x \ 1). x * y != z * (y * x) | K(x,y) = z. x * (y * z) != z * y | K(z,y) = x. (x * y) / (y * x) != z | z = K(x,y). (x * y) / (y * x) != z | K(x,y) = z. K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). T(x,y * x) * T(y,x) = (y * x) * K(T(x,y),y * x). (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). x != (y \ 1) * K(z,y \ 1) | x = y \ K(z,1 / y). (x * (y \ 1)) / x = y \ K(x,1 / y). x \ K(y,1 / x) = (y * (x \ 1)) / y. x != ((y \ 1) \ 1) * K(z,(y \ 1) \ 1) | x = (y \ 1) \ K(z,y). (x * ((y \ 1) \ 1)) / x = (y \ 1) \ K(x,y). (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. x * y != z * K(u,z) | x \ ((u * z) / u) = y. T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). x != (y * z) / y | x = T(y,z) / (z \ y). x * K(y,x) = T(y,x) / (x \ y). T(x,y) / (y \ x) = y * K(x,y). x != ((y * z) * z) / (y * z) | x = y \ T(y * z,z). x * K(y * x,x) = y \ T(y * x,x). x \ T(x * y,y) = y * K(x * y,y). x * K(y / x,x) = y / (y / x). x / (x / y) = y * K(x / y,y). x * K(y,x) != z | T(x,y) = z. ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). R(x,y,x) = T(x * K(y * x,x),y). T(x * K(y * x,x),y) = R(x,y,x). R(x * K(y,x),y,y \ 1) != z | (y * x) * (y \ 1) = z. L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). L(x,y,x) = (y * K(x,y)) \ ((x * (y * x)) / x). (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). (1 / x) * ((y * x) / y) = K(y,x). K(x,y) = (1 / y) * ((x * y) / x). (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). K(x,y) = (x * K(y,x)) \ x. (x * K(y,x)) \ x = K(x,y). K(x,(y * z) / y) = ((y * ((x * z) / x)) / y) / ((y * z) / y). ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). K(x * y,y) = (x \ T(x * y,y)) / y. (x \ T(x * y,y)) / y = K(x * y,y). x * (y * K(z,y)) != u | x * ((z * y) / z) = u. ((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). K(1 / x,y) / x = T(1 / x,y). (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. K(x,x * y) = T(x,y * x) * (x \ 1). T(x,y * x) * (x \ 1) = K(x,x * y). x * (y * R(z,u,w)) != (y * R(z,u,w)) * T(z,y) | x = R(z,y,R(z,u,w)). T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). (x * y) / x != z | z = y * K(x,y). (x * y) / x != z | y * K(x,y) = z. (1 / (1 / x)) / (x * y) = x / ((y * K(x,y)) * ((x \ 1) \ 1)). x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). T(x,y) * z != x | z = K(y,x). K(x,T(y,x)) = K(x,y). K(x,x \ (y * x)) = K(x,y). K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). K(x,x \ y) = K(x,y / x). K(x,y / x) = K(x,x \ y). K(x,y) = K(x,y * K(x,y)). K(x,y * K(x,y)) = K(x,y). L(x,K(y,z),z) != u | u = x. x * K(y,z) != u * K(z,y) | x = u. K(x,y) * K(z,y) = K(z,y) * K(x,y). K(x,y) * K(x,z) = K(x,z) * K(x,y). K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. x * y != z / ((u * z) / u) | K(z,u) / y = x. K(x,y) / x = 1 / ((y * x) / y). x \ K(x,x \ y) = ((x \ y) \ y) \ 1. ((x \ y) \ y) \ 1 = x \ K(x,x \ y). 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. (x * K(y,x)) \ 1 = x \ K(x,y). x != K(y,z / y) | x = z \ (y * (z / y)). K(x,x \ y) = y \ (x * (y / x)). x \ (y * (x / y)) = K(y,y \ x). x != K(y,(z \ y) / y) | x = K(y,z \ 1). K(x,x \ (y \ x)) = K(x,y \ 1). x * K(y,y \ x) = y * (x / y). (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. 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 \ 1,y) != z | K(x \ 1,y) = z. K(x,y) != z | K(y,x) = z. 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. T(x,y) * (x \ 1) != z | K(x,y) = z. R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). T(1 / x,y) * x = K(x \ 1,y). x != K(y,z) | x = K(z,y). x * T(x \ 1,y) = K(y,x \ 1). K(x \ 1,y * x) = K((y * x) \ y,y * x). K((x * y) \ x,x * y) = K(y \ 1,x * y). x != L(y,z,u) * T(L(y,z,u) \ 1,w) | x = L(y * T(y \ 1,w),z,u). K(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). K((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). x * y != z * T(z \ 1,u) | x \ K(z \ 1,u) = y. x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). x * K((x \ y) \ 1,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K((y \ x) \ 1,z). K((x / y) \ 1,z) * y = x * T(x \ y,z). (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. 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 \ (x \ y)) * y) = y * K(x \ 1,y). x != T(y,z) \ 1 | x = y \ K(z,y). (x \ 1) * K(y,x) = x \ K(y,x). (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. x * y = T(x,z) * (K(x,z) \ y). T(x,y) * (K(x,y) \ z) = 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 = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. x * y != T(x,z) * K(z,x) | 1 = y. 1 = K(x,y) * K(y,x). K(x,y) * K(y,x) = 1. x * y != T(x,z) * (x \ u) | y = ((z * x) / z) \ u. K(x,y) * (x \ z) = ((y * x) / y) \ z. ((x * y) / x) \ z = K(y,x) * (y \ z). x * y != T(x,z) * (u * x) | y = T(x,z) * T(u,x). K(x,y) * (z * x) = T(x,y) * T(z,x). x * y != T(x,z) * T(z,x * z) | y = L(z,x,z). K(x,y) * T(y,x * y) = L(y,x,y). x * y != T(x,z) * T(z,z * x) | y = L(z,x,z). K(x,y) * T(y,y * x) = L(y,x,y). (x * y) * z != T(x * y,x) * T(x,y) | z = R(x,y,x). K(x * y,x) * T(x,y) = R(x,y,x). x * y != z * (K(z,u) * w) | (T(z,u) * w) / y = x. (T(x,y) * z) / x = T(K(x,y) * z,x). T(x,y) * z != x * u | K(x,y) * z = u. a(x,K(x,y) * z,u) = (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u). (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). x * (y * K(x,z)) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). x * (K(y,x) * z) = T(x,y) * z. K(T(x,y),y) = K(x,y). 1 / K(x,y) = K(y,x). K(x,y) \ 1 = K(y,x). x != y * K(z,u) | x = y * K(u,z). 1 = K(x,y) * K(x,y). K(x,y) * K(x,y) = 1. 1 != K(x,y) * z | K(y,x) = z. K(x,y) * z != 1 | K(y,x) = z. x * (K(y,z) * K(z,y)) != u | u = x. K(x,y) \ 1 != z | z = K(y,x). K(x,y) \ 1 != z | 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),x) = K(y,x). K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). K((x \ y) \ y,x \ y) = K(x,x \ y). K(T(x,y),y * x) = K(R(x,y,x),y * x). K(R(x,y,x),y * x) = K(T(x,y),y * x). K(R(x,y,y \ 1),y) = K((y * x) * (y \ 1),y). K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). K(x,x \ y) = K(y / (y / x),x \ y). K(x / (x / y),y \ x) = K(y,y \ x). K(x,T(y,x)) != z | K(x,y) = z. K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. (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(x / y,y) = (y \ x) * y. K((T(x,y) * z) / x,x) = K(T(x,y) * (x \ z),x). K(x / y,y) != z | K(y \ x,y) = z. K(x,x \ (y * x)) != z | K(x,y) = z. K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. K(x,y) \ (y * z) = T(y,x) * z. (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. ((x \ y) \ y) * (x \ z) = K(x,x \ y) * z. x != K(y,z) * R(y,u,w) | x = R(y,u,w) * K(y,z). T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). x != T(y,z) * (y \ u) | x = ((z * y) / z) \ (y * u). K(x,y) * z = ((y * x) / y) \ (x * z). ((x * y) / x) \ (y * z) = K(y,x) * z. x * y != T(z,u) * (z \ (T(u,z) * w)) | (u * w) / y = x. (x * y) / (T(x,z) * y) = K(z,x). x * y != T(z,u) * (z \ w) | x \ (K(z,u) * w) = y. x \ (K(y,x) * z) = T(x,y) \ z. T(x * y,z) * L(u,y,x) = K(x * y,z) * (x * (y * u)). K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). T(x,y) * K(x,z) = K(x,y) * T(x,z). K(x,y) * T(x,z) = T(x,y) * K(x,z). T(x,y) * (x \ z) = K(y,x) * z. ((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 * y != z * (T(z,u) \ (1 / z)) | x \ (1 / T(z,u)) = y. K(x,y) \ (1 / T(y,x)) = 1 / y. (x \ y) * ((y / x) \ z) = K(x,x \ y) * z. T(x,y) * (K(y,x) * z) = x * z. K(x,y) * (y \ z) != u | T(y,x) \ z = u. x * K(T(x,y),z) = K(y,x) * T(T(x,y),z). K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). x * (T(x,y) \ z) = K(x,y) * z. K(x,x \ y) * ((y / x) * z) = (x \ y) * z. K(x,y) \ (y * z) != u | u = T(y,x) * z. K(x,y) \ (y * z) != u | T(y,x) * z = u. (x * y) \ (K(z,x) * (T(x,z) * (y * u))) = L(L(u,y,T(x,z)),T(x,z) * y,K(z,x)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). K(x,y) * (T(x,y) * z) = x * z. K(x,y) * (x * z) != u | u = T(x,y) * z. K(x,y) * (x * z) != u | T(x,y) * z = u. (T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = K(R(x,y,z),u). R(K(x,y),x * z,u) = ((T(x,y) * z) * u) / ((x * z) * u). ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). K(x \ y,y) = (x * T(x \ y,y)) * (y \ 1). (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). x != (y / z) * T((y / z) \ 1,u) | x = (y * T(y \ z,u)) / z. K(1 / (x / y),z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K(1 / (x / y),z). K(x,(x / y) / x) = K(x,1 / y). K(x,1 / y) != z | K(x,y \ 1) = z. K(x,y \ x) = K(x,x / y). K(x,x / y) = K(x,y \ x). K(x / y,x) = K(x,y \ x). K(x,y) = K(x,(y \ x) \ x). K(x,(y \ x) \ x) = K(x,y). K(x / y,x) = K(y \ x,x). K(x / y,x) != z | K(y \ x,x) = z. K(x,y) = K((x \ y) \ y,y). K((x \ y) \ y,y) = K(x,y). R(K(x,x \ y),y,z) = ((x * (y / x)) * z) / (y * z). ((x * (y / x)) * z) / (y * z) = R(K(x,x \ y),y,z). K(x,(x \ 1) * y) * y = x * (y / x). K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. K(x,y) * (T(z,u) * x) = T(x,y) * T(T(z,x),u). T(x,y) * (x \ z) != u | K(x,y) * z = u. K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). K(x,y) * (y * z) = T(y,x) * z. x != y * (T(y,z) \ u) | x = K(z,y) * u. K(x,y) \ z = K(y,x) * z. (x \ 1) / (x \ K(x,y)) = K(y,x). x \ 1 = K(y,x) * (x \ K(x,y)). K(x,y) * (y \ K(y,x)) = y \ 1. a(K(x,y),z,z \ 1) = K(y,x) * R(K(x,y),z,z \ 1). K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). x / (K(y,z) * x) = K(z,y). T(x,K(y,z)) = K(z,y) * (x * K(y,z)). K(x,y) * (z * K(y,x)) = T(z,K(y,x)). K(x,y) * (K(y,x) * z) = z. x * y != K(z,u) * w | x \ (K(u,z) \ w) = y. x \ (K(y,z) \ x) = T(K(z,y),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 \ R(y,z \ 1,z) | x = a(y,z \ 1,z). K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). x * (K(y,z) * u) != u | x = K(z,y). x * (K(y,z) * u) != u | K(z,y) = x. K(x,y) * (K(y,x) * z) != u | u = z. x / (K(y,z) * x) != u | u = K(z,y). x / (K(y,z) * x) != u | K(z,y) = u. L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). K(x,y) \ z = K(x,y) * z. 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) / (T(x,y) * K(z,x)) = K(x,z). K(x,x \ y) * z != x * (y / x) | z = y. K(x \ y,x) * (x * (y / x)) = y. K(x,y) * z != K(u,x) * K(x,y) | z = K(u,x). K(x,y) * (K(z,y) * K(y,x)) = K(z,y). K(x,y) * z != R(y,u,w) * K(x,y) | z = R(y,u,w). K(x,y) * (R(x,z,u) * K(y,x)) = R(x,z,u). K(x,y) * z != K(y,u) * K(x,y) | z = K(y,u). K(x,y) * (K(x,z) * K(y,x)) = K(x,z). x != K(y,z) * u | K(z,y) * x = u. K(x,y) * z != u | K(y,x) * u = z. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). x \ (K(y,z) * (K(z,y) * (x * u))) = L(L(u,x,K(z,y)),K(z,y) * x,K(y,z)). L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). K(x,y) * (K(x,y) * z) = z. K(x,y) * (K(x,y) * z) != u | u = z. L(x \ (K(y,z) * u),x,K(y,z)) = (K(y,z) * x) \ u. K(x,y) * z != u * K(y,x) | T(u,K(x,y)) = z. T(x,K(y,z)) = K(y,z) * (x * K(z,y)). K(x,y) * (z * K(y,x)) = T(z,K(x,y)). x != K(y,z) * u | K(y,z) * x = u. K(x,y) * z != u | K(x,y) * u = z. K(x,y) \ z != u | u = K(x,y) * z. K(x,y) \ z != u | K(x,y) * z = u. T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). T(x,x \ y) / (y \ x) = x * (y / x). K(x,T(y,T(x,z))) = K(x,y). T(x,y * K(y,z)) = T(x,T(y,z)). T(x,T(y,T(x,z))) != u | T(x,y) = u. K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). K(x,y) / T(y,y \ 1) = y \ K(x,y). 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. (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). x * (y / x) != y * z | K(x,x \ y) = z. L(x,K(y,y \ z),z) = (y * (z / y)) \ (z * (K(y,y \ z) * x)). (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). 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). K(x \ 1,(1 / x) \ y) != z | (((1 / x) \ y) \ y) * x = z. (x * (y * T(y \ 1,z))) * y = (x * y) * K(z,y \ 1). R(x,y \ 1,K(z,y)) = ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)). ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). (x \ y) / (T(x,z) \ y) = K(x,z). K(x,y) * z != u | z = K(x,y) * u. T(x,y) \ z = K(x,y) * (x \ z). K(x,y) * (x \ z) = T(x,y) \ z. x \ y != K(x,z) * u | T(x,z) \ y = u. K(x,y) * (T(y,x) \ z) = y \ z. (x \ y) * (K(x,x \ y) * z) = (y / x) * z. x * (K(y,x) * z) = ((y * x) / y) * z. ((x * y) / x) * z = y * (K(x,y) * z). x * (K(x \ y,x) * z) = (y / (y / x)) * z. (x / (x / y)) * z = y * (K(y \ x,y) * z). x * (T(y,x) * z) = T(x,y) * (y * z). T(x,y) * (y * z) = x * (T(y,x) * z). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). x != T(y,z) * u | x = y * (K(z,y) * u). K(x,y) * z = y * (K(x,y) * (y \ z)). x * (K(y,x) * (x \ z)) = K(y,x) * z. L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. T(x,y) * (K(y,x) * z) != u | u = x * z. T(x,y) * (K(y,x) * z) != u | x * z = u. T(T(x,y),z) \ x = K(z,T(x,y)) * K(y,x). K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. T(x,y) \ T(x,z) = K(y,x) * K(x,z). x * (K(y,x) * z) = K(y,x) * (x * z). K(x,y) * (y * z) = y * (K(x,y) * z). K(x \ y,x) * (x \ z) = ((x \ y) \ y) \ z. ((x \ y) \ y) \ z = K(x \ y,x) * (x \ z). T(x,y) * (1 / y) = x * (1 / T(y,x)). K(x,y / z) * (z * T(z \ y,x)) = y. T(x,y) \ (x * z) != u | u = K(y,x) * z. T(x,y) \ (x * z) != u | K(y,x) * z = u. (x * y) \ (K(x,z) * u) != w | L(y \ (T(x,z) \ u),y,x) = w. x * ((x * K(y,x)) \ z) = K(x,y) * z. K(x,y) * (K(x,z) * u) = T(x,y) * (T(x,z) \ u). K(x \ y,x) * ((y / x) * z) = (x \ y) * z. K(x * y,x / (x * y)) = K(x * y,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 != T(T(z,u),w) * u | (u * T(z,w)) / y = x. (x * T(y,z)) / (T(y,x) * x) = K(z,T(y,x)). K(x,x \ y) * ((x \ y) * z) = (y / x) * z. K(x,y) * (y * z) = ((x * y) / x) * z. (x \ 1) / (x \ K(x,y)) != z | z = K(y,x). (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. K(x,y) * (z * 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. T(x,y * K(z,y)) = T(x,T(y,z)). (K(x,y) / x) \ 1 = x * K(y,x). 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). K(x,x \ y) * (x \ z) = ((x \ y) \ y) \ z. ((x \ y) \ y) \ z = K(x,x \ y) * (x \ z). K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. K(x,y) * (x \ z) = (x * K(y,x)) \ z. (x * K(y,x)) \ z = K(x,y) * (x \ z). K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. K(x * (y * z),a(x,y,z)) * ((((x * y) * z) / (x * (y * z))) \ u) = a(x,y,z) \ u. 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,T(T(y \ z,u),y)) = T(x,T(z / y,u)). T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). T(x,x * y) * K(y,x) = L(x,y,x). x * y != K(z,u) * T(u,u * z) | x \ L(u,z,u) = y. T(x,x * y) \ L(x,y,x) = K(y,x). K(x,y) = T(y,y * x) \ L(y,x,y). T(x,y) * K(x * y,x) = R(x,y,x). (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. K(x,T(y \ 1,L(y,z,u))) != w | K(x,y \ 1) = w. K(x,y) * z != u | u = K(y,x) \ z. K(x,y) * z != u | K(y,x) \ z = u. K(x \ 1,x) * ((1 / x) * y) != z | z = (x \ 1) * y. K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. T(x,y) != z | K(x,y) * x = z. K(x,y) * z != u | u = K(x,y) \ z. K(x,y) * z != u | K(x,y) \ z = u. T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. T(x * K(y,x),T(z,x)) != u | T(x * K(y,x),z) = u. T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). T(x,x * y) * K(y,x) != z | z = L(x,y,x). T(x,x * y) * K(y,x) != z | L(x,y,x) = z. x * y != T(z,u) * K(z * u,z) | x \ R(z,u,z) = y. x \ R(x,y,x) = K(x,y) * K(x * y,x). K(x,y) * K(x * y,x) = x \ R(x,y,x). L(K(x * y,x),T(x,y),z) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). x != (y * T(y \ 1,z)) \ 1 | x = y \ (T(1 / y,z) \ 1). K(x,y \ 1) = y \ (T(1 / y,x) \ 1). x \ (T(1 / x,y) \ 1) = K(y,x \ 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). (T(x,y) \ 1) * x = K(x \ 1,x) * K(y,x). K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. x != T(y,z) \ y | x = K(z,y). K((1 / x) \ y,y) = K(y * x,y). K(x \ y,y) = K(y * (x \ 1),y). K(x * (y \ 1),x) = K(y \ x,x). K(x * (y \ K(y,z)),x) = K(((z * y) / z) \ x,x). K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). x * y != (z * u) * T((z * u) \ (z * w),v5) | (z * (u * T(u \ w,v5))) / y = x. (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). x / (y * T(y \ x,z)) = K(z,x / y). K(x,y) / (1 / T(y,x)) = 1 / (1 / y). x != y / T(y,z) | x = K(z,y). K(K(x,1 / x) * y,z) = K(y,z). K(K(x \ 1,x) * y,z) = K(y,z). K(K(x,x \ 1) * y,z) = K(y,z). K(x * K(y \ 1,y),z) = K(x,z). K(x * (y \ 1),z) = K(x * (1 / y),z). K(x * (1 / y),z) = K(x * (y \ 1),z). K(x / (1 / y),z) = K(x / (y \ 1),z). K(x * (1 / (1 / y)),z) = K(x * y,z). K((1 / x) \ y,z) = K((x \ 1) \ y,z). K((x \ 1) * y,z) = K((1 / x) * y,z). K((1 / x) * y,z) = K((x \ 1) * y,z). K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). K((1 / (1 / x)) * (x \ y),z) = K(y,z). K(x,(y \ 1) \ 1) != z | K(x,y) = z. K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). K(x * ((y \ 1) \ 1),z) = K(x * y,z). K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). K(x \ (y \ 1),z) = K(x \ (1 / y),z). K(x \ (1 / y),z) = K(x \ (y \ 1),z). K(x,y \ 1) != z | K(x,1 / y) = z. K(x,T(y / z,z / y)) != u | K(x,y / z) = u. K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). x != R(y,z,u) * ((w * (R(y,z,u) \ 1)) / w) | x = R(y * ((w * (y \ 1)) / w),z,u). K(x,R(y,z,u) \ 1) = R(y * ((x * (y \ 1)) / x),z,u). R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). x != (y / z) * ((u * ((y / z) \ 1)) / u) | x = (y * ((u * (y \ z)) / u)) / z. K(x,(y / z) \ 1) = (y * ((x * (y \ z)) / x)) / z. (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). x != (y \ z) * ((u * ((y \ z) \ 1)) / u) | x = y \ (z * ((u * (z \ y)) / u)). K(x,(y \ z) \ 1) = y \ (z * ((x * (z \ y)) / x)). x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1). R(x,y,(z * (y \ 1)) / z) = ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1). ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. x != y \ T(y,z) | x = K(y,z). K(x,x * (y \ 1)) = K(x,y \ x). K(x,y * K(z,z \ 1)) = K(x,y). K(x,y * K(z,1 / z)) = K(x,y). K(x,y * ((z \ 1) \ 1)) = K(x,y * z). K(x,y * T(z,z \ 1)) = K(x,y * z). K(x,y) = K(x,K(z \ 1,z) * y). K(x,K(y \ 1,y) * z) = K(x,z). K(x,y * (1 / z)) = K(x,y * (z \ 1)). K(x,L(y,z,z \ 1)) = K(x,(z \ 1) * (z * y)). K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). K(x,T(y,y \ 1) * z) = K(x,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,(1 / y) * z) = K(x,(y \ 1) * z). K(x,((y \ 1) \ 1) \ z) = K(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,T(K(y,y \ 1) * z,u)) = K(x,T(z,u)). K(x,K(y,1 / y) * z) = K(x,z). K(x,y * (z * K(u,1 / u))) = K(x,y * z). K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). K(x,T(y,y \ 1) \ z) = K(x,y \ z). K(x,K(y,1 / y) / z) = K(x,1 / z). x * y != y * z | x = z * K(y,z). T(x * K(y,x),z) = T(x,z) * K(y,T(x,z)). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). x * (y * z) != (y * z) * T(y,z) | x = R(y,z,y). T(x * K(x * y,x),y) = R(x,y,x). x * (y \ z) != (y \ z) * y | x = z / (z / y). T(x * K(T(x,y) \ z,x),y) = z / (z / T(x,y)). T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). x * y != y * T(z,y * z) | x = L(z,y,z). T(x * K(y,x),y * x) = L(x,y,x). 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). x != ((y \ z) * T(z,y \ 1)) / (y \ z) | x = R(z,z \ (y \ z),z). T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). x * y != (z * T(u,w)) / z | x \ T(u * K(z,u),w) = y. T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). K(T(x,y),z) = T(x * K(z,x),y) \ T(x,y). T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. K(x,(y / z) \ 1) = K(x,z / y). T(x,(y / z) \ 1) != u | T(x,z / y) = u. 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). K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). K(x,1 / y) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,1 / z). K(x,y / z) != u | K(x,(z / y) \ 1) = u. K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). K(x,y / (z * y)) != u | K(x,z \ 1) = u. x * y != T(z * y,u) | x = y \ T(y * z,u). x * K(x * y,x) = y \ T(y * x,x). x \ T(x * y,y) = y * K(y * x,y). R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. 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,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). K(x,y) \ K(z,x) = K(z,x) * K(y,x). x != K(y,z) * u | x = z * (T(z,y) \ u). 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 != K(y,z) * u | x = T(y,z) * (y \ u). K(x,y) * K(x,z) = T(x,z) * (x \ K(x,y)). T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). (x / (x / y)) \ z = K(y,x / y) * (y \ z). x != T(y,z) * K(y,u) | x = K(y,u) * T(y,z). K(x,y) * T(x,z) = K(x,z) * T(x,y). K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). K(x,y) * T(z,K(y,x)) = z * K(x,y). x != K(y,z) * (u * K(z,y)) | x = T(u,K(z,y)). T(x,K(y,z)) = T(x,K(z,y)). K(x,K(y,z)) * x = T(x,K(z,y)). x * K(x,K(y,z)) = T(x,K(z,y)). x * K(K(y,z),x) = T(x,K(z,y)). x / K(y,z) = T(K(y,z) \ x,K(z,y)). T(K(x,y) \ z,K(y,x)) = z / K(x,y). T(T(x,K(y,z)),K(z,y)) = x. T(x,K(y,z)) * K(z,y) = K(z,y) * x. T(T(x,K(y,z)),K(z,y)) != u | u = x. T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). x * K(y,z) != u | K(y,z) * T(x,K(z,y)) = u. 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 * y != T(y,z) | x = K(z,y). K(x,K(y,z)) = K(K(z,y),x). K(K(x,y),z) = K(z,K(y,x)). x * y != T(y,z) | x = K(y,z). K(x,K(y,z)) = K(x,K(z,y)). T(K(x,y),z) = K(x,y) * K(z,K(y,x)). K(x,y) * K(z,K(y,x)) = T(K(x,y),z). T(K(x,y),z) = K(z,K(y,x)) * K(x,y). K(x,K(y,z)) * K(z,y) = T(K(z,y),x). K(x,K(y,z)) != u | K(x,K(z,y)) = u. x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. K(x,K(y,z)) != u | K(K(z,y),x) = u. T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). T(x,x \ (y * x)) / ((y * x) \ x) = x * y. T(x,y / x) / (y \ x) = x * (y / x). (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. (x \ K(x,y)) * T(x,x \ 1) = K(x,y). x / T(y,x) = K(x,y) * (x / y). K(x,y) * (x / y) = x / T(y,x). (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). (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) * (y * z) = (y \ x) * (T(y,y \ x) * z). (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). x != K(y,z) * K(z,u) | x = K(z,u) * K(y,z). T(x,y) \ T(x,z) = K(x,z) * K(y,x). R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. x * y != K(z,u) * u | x \ (u * K(z,u)) = y. x \ (y * K(x,y)) = (x * K(y,x)) \ y. (x * K(y,x)) \ y = x \ (y * K(x,y)). x / (K(y,z) * (y \ x)) = y * K(z,y). x * K(y,x \ 1) = T(1 / x,y) \ 1. T(1 / x,y) \ 1 = x * K(y,x \ 1). x != K(y,z / u) | x = K(y,(u / z) \ 1). x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). K(x,y) / (K(x,y) / y) = 1 / (1 / y). x != K(y * (z \ 1),y) | x = K(z \ y,y). K(x * (1 / y),x) = K(y \ x,x). K(x * y,x) = K((y \ 1) \ x,x). K((x \ 1) \ y,y) = K(y * x,y). K(x / (y \ 1),z \ 1) != u | K(x / (1 / y),1 / z) = u. K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). 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 * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). x != K(y,y * (z \ 1)) | x = K(y,z \ y). K(x,x * y) = K(x,(y \ 1) \ x). K(x,(y \ 1) \ x) = K(x,x * y). K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). x != K(y \ (z \ 1),u) | x = K(y \ (1 / z),u). K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). K(x,(1 / x) * y) * y = x * (y / x). K(x,T(y \ 1,z) \ u) = K(x,T(1 / y,z) \ u). K(x,T(1 / y,z) \ u) = K(x,T(y \ 1,z) \ u). K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). K(x,R(y \ 1,z,u) \ w) = K(x,R(1 / y,z,u) \ w). K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). x * y != z \ T(z * x,x) | y = K(z * x,x). K(x * y,x) = K(y * x,x). K(x * y,y) = K(y * x,y). T(x * K(x * y,x),y) != z | R(x,y,x) = z. x != K(y * z,y) | x = K((z \ 1) \ y,y). K(x * y,y) = K((x \ 1) \ y,y). K((x \ 1) \ y,y) = K(x * y,y). x != K(y * (1 / z),y) | x = K(z \ y,y). K((1 / x) * y,y) = K(x \ y,y). T((x \ 1) \ y,y) = ((x \ 1) \ y) * K(x * y,y). ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). K(x,y) * T(x,z) = (u / (K(x,z) * T(x,y))) \ u. (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). x * K(y,z) != K(y,z) * u | T(x,K(z,y)) = u. K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. K(x,y) * T(K(y,x),z) = K(z,K(x,y)). T(x / (x / y),z) \ y = K(x / (x / y),y \ x) * K(z,x / (x / y)). K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. (x * K(y,x)) \ z != u | u = K(x,y) * (x \ z). (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. x * y != K(z,x) | y = T(x,z) \ 1. T(K(x,y),z) = T(K(y,x),z) \ 1. T(K(x,y),z) \ 1 = T(K(y,x),z). (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(y,z),u) \ 1). R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. K(x,y) * z != u | T(x,y) * (x \ z) = u. K(x,y) * (z * (x / z)) != u | T(x,y) * K(z,z \ x) = u. T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. (x \ y) * T((x \ y) \ y,z) != u | K(x,z) * y = u. T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. T(x,y) * z != u | x * (K(x,y) * z) = u. T(x,y) * z != u | x * (K(y,x) * z) = u. K(x * y,x) * K(x,y) = x \ R(x,y,x). x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. K(x,y) * K(y * x,x) = x \ R(x,y,x). T(x,y \ K(y,z)) != u | T(x,z / (z * y)) = u. ((x * y) / x) * z != u | y * (K(x,y) * z) = u. K(x,y) * K(y,y \ x) = y \ R(y,y \ x,y). x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. K(x * y,y) * K(y,x) = y \ R(y,x,y). T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). (x * y) * ((y * x) \ 1) = K(x,y). K(x,y) = (x * y) * ((y * x) \ 1). T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). K(x,T(1 / y,z) \ 1) = T(K(x,y),z). K(x,1 / T(1 / y,z)) = T(K(x,y),z). K(x,1 / T(y,z)) = T(K(x,1 / y),z). K(x,R(T(K(x,y),z),u,w)) = 1. K(x,y * K(z,y \ 1)) = T(K(x,y),z). T(K(x,1 / T(y,z)),z) = K(x,1 / y). K(x,y * K(y \ 1,z)) = T(K(x,y),z). x != T(K(y,1 / z),u) | x = K(y,1 / T(z,u)). K(x,1 / y) = K(x,1 / T(T(y,z),z)). K(x,1 / T(T(y,z),z)) = K(x,1 / y). K(x,y * K(1 / y,z)) = T(K(x,y),z). K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). R(x * K(y,x),z,u) = R(x,z,u) * K(y,R(x,z,u)). R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). T(1 / (K(x,y) / x),y) = 1 / (1 / x). x * (1 / (1 / y)) = (1 / (K(y,x) / y)) * x. (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). x != (y * ((z \ 1) \ 1)) / y | x = (((y * z) / y) \ 1) \ 1. (x \ 1) \ K(y,x) = (((y * x) / y) \ 1) \ 1. (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). x != (y * z) / y | x = z * K(y,z). L(x * K(y,x),z,u) = L(x,z,u) * K(y,L(x,z,u)). L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). x * y != (z * L(u,w,v5)) / z | L(u * K(z,u),w,v5) / y = x. L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). K(L(x,y,z),u) = L(x * K(u,x),y,z) \ L(x,y,z). L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). K(L(x,y,z),u) = L(x,y,z) / L(x * K(u,x),y,z). L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). x * y != (z * R(u,w,v5)) / z | x \ R(u * K(z,u),w,v5) = y. R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). K(R(x,y,z),u) = R(x * K(u,x),y,z) \ R(x,y,z). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). T(K(x \ 1,y),z) = K(T(x,z) \ 1,y). K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). K(T(1 / x,y) \ 1,z) = T(K(x,z),y). K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). K(1 / T(x,y),z) = T(K(1 / x,z),y). T(K(1 / T(x,y),z),y) = K(1 / x,z). x != T(K(1 / y,z),u) | x = K(1 / T(y,u),z). K(1 / x,y) = K(1 / T(T(x,z),z),y). K(1 / T(T(x,y),y),z) = K(1 / x,z). T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). 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)). x \ T(y,z) = (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z). (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). T(x,y) * z = (x * z) * K(((x * z) \ z) \ 1,y). (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. x != (y * z) * T((y * z) \ u,y) | x = ((y \ (u / z)) * y) * z. x * K((x \ (y * z)) \ 1,y) = ((y \ (x / z)) * y) * z. ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). x * y != z * T(z \ x,u) | T(K(x / z,u),x) = y. T(K(x / y,z),x) = K((x \ y) \ 1,z). T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). T(K(x,y),z) = K((z \ (x \ z)) \ 1,y). K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). x != (1 / y) * T((1 / y) \ (z / y),u) | x = T(z,u) / y. K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. x != (y \ 1) * T((y \ 1) \ (y \ z),u) | x = y \ T(z,u). K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). x * y != (1 / z) * T((1 / z) \ (u / z),w) | (T(u,w) / z) / y = x. (T(x,y) / z) / (x / z) = K(((1 / z) / (x / z)) \ 1,y). K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). x * y != (z * u) * T((z * u) \ w,v5) | (z * (u * T(u \ (z \ w),v5))) / y = x. (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). x * y != z * T(z \ y,u) | x = K(y / z,u). K((x / y) \ 1,z) = K(y / x,z). K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). K(1 / (x / y),z) = K(y / x,z). x != K(y,z) | x = R(K(y,z),y,u). K((x / y) \ 1,z) = R(K(y / x,z),y / x,u). R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). x != K(y / z,z) | x = K(z \ y,z). K((x / y) \ 1,x) = K(x \ y,x). K(x \ 1,y) = K(z / (x * z),y). K(x / (y * x),z) = K(y \ 1,z). K((x / (y * x)) \ 1,z) = K(y,z). K(x \ 1,y) = K((x \ z) / z,y). K((x \ y) / y,z) = K(x \ 1,z). K((x / y) \ 1,x) != z | K(x \ y,x) = z. K(x / y,z) != u | K((y / x) \ 1,z) = u. x != K(y \ ((1 / y) \ z),y) | x = K(z,y). K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). K(x / (y * x),z) != u | K(1 / y,z) = u. x * K(y \ 1,y * x) = ((y * x) \ x) * (y * x). ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. x * y != T(z,z * u) * K(u,z) | x \ L(z,u,z) = y. x \ L(x,y,x) = K(y,x) * K(x,x * y). K(x,y) * K(y,y * x) = y \ L(y,x,y). K(x,y) * K(y,x * y) = y \ L(y,x,y). x \ (y * (K(y,y \ x) * z)) = L((x / y) \ z,y \ x,y). T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). K(x,x \ y) \ ((y / x) * z) = (x \ 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. T(T(1 / ((x * y) \ x),z),y) != u | T(1 / ((x * y) \ x),z) = u. x \ ((y / (y / x)) * z) = K(y / x,(y / x) \ y) * z. K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). x \ ((y / (y / x)) * z) != u * z | u = K(x \ y,x). x \ ((y / (y / x)) * z) != u * z | K(x \ y,x) = u. x * K(x * y,1 / y) = (x * y) * (x / (x * y)). (x * y) * (x / (x * y)) = x * K(x * y,1 / y). x != y * (z / y) | x = T(y,z / y) / (z \ y). (x / y) * K(x,1 / y) = T(x,(x / y) / x) / ((x / y) \ x). T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). (x * T(y,z)) / (x * y) = K(z,T(y,x)). K(x,T(y,z)) * (z * y) = z * T(y,x). x * y != K(z \ u,z) * ((z \ u) \ w) | x \ ((u / z) \ w) = y. x \ ((y / x) \ z) = T(x,x \ y) \ ((x \ y) \ z). T(x,x \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). x * y != K(z,z \ u) * ((u / z) \ w) | x \ ((z \ u) \ w) = y. ((x \ y) \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). K(x,y) * T(y,y * x) != z | L(y,x,y) = z. K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). K((x \ y) \ z,u) = K((((x \ 1) \ 1) \ y) \ z,u). K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). K(x,y \ (z * (1 / u))) = K(x,y \ (z * (u \ 1))). 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) * u)) = K(x,y \ ((z \ 1) * u)). K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). K(x,y * (K(z,1 / z) * u)) = K(x,y * u). K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). T(x,y) \ T(x * K(z,x),y) != u | u = K(z,T(x,y)). T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. T(x,y) * K(z,T(x,y)) != u | u = T(x * K(z,x),y). T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). ((1 / (1 / x)) \ y) * z = K(x,1 / x) * ((x \ y) * z). K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). T(x,T(y,x)) / ((y * x) \ x) = x * y. T(x,y) / ((y * x) \ x) = x * y. (x * y) * ((y * x) \ x) = T(x,y). T(x,y) = (x * y) * ((y * x) \ x). (x * y) \ T(x,y) = (y * x) \ x. x * y != (z * u) * ((u * z) \ z) | x \ T(z,u) = y. x \ T(y,y \ x) = ((y \ x) * y) \ y. ((x \ y) * x) \ x = y \ T(x,x \ y). x != (y * z) \ T(y,z) | x = L(T(z,y) \ 1,z,y). (x * y) \ y = L(T(x,y) \ 1,x,y). L(T(x,y) \ 1,x,y) = (x * y) \ y. a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). 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). (x * (y / x)) \ x = y \ T(x,x \ y). T(x \ T(y,y \ x),x / y) = L(1 / (x / y),x / y,y). (x * (y / x)) \ x = y \ (y / (y / x)). x * ((y * (x / y)) \ y) = x / (x / y). (x * (y / x)) \ x = y \ (x * K(y / x,x)). x \ (y * K(x / y,y)) = (y * (x / y)) \ y. x * (K(y,x) / x) = K(y,x) * K(x,x \ 1). K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). T(x * K(y \ x,x),y \ 1) != z | R(x,y \ 1,x) = z. ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). x != y / K(z,y) | x = T(y,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)). K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). (x * K(y,x)) \ L(x,y,x) = K(x,x * y). x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). 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)). R(x,y,z) \ R(x,y,z) = K(x \ R(x,u,w),R(x,y,z)). K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). R(x * K(y,x),y,x) = x * K(y * x,x). ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1. K(x,R(y / x,z,u)) != w | K(x,R(x \ y,z,u)) = w. K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). K(x,1 / (y \ z)) = y \ (z * ((x * (z \ y)) / x)). x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. K((x / y) \ 1,z) != u | K(y / x,z) = u. x \ K(x * y,x \ 1) = y / (y / (x \ 1)). (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). x != L(K(y,y \ 1),z,u) | x = K(y,y \ 1). K(x,L(x,y,z) \ 1) = K(x,x \ 1). L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). K(x,(y \ z) \ 1) = L(K(x,z \ y),z \ y,z). L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). 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 * y) \ T(y * x,z)) * (x * y) = T(y * x,z). x != y * (T(y,z) \ K(u,y)) | x = K(u,y) * K(z,y). T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. x != R(y * T(y \ 1,y),z,u) | x = a(1 / R(y,z,u),y,y \ 1). K(R(x,y,z) \ 1,x) = a(1 / R(x,y,z),x,x \ 1). a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * 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. x != y * ((z \ u) * T((z \ u) \ (y \ u),w)) | x = (y * T(y \ z,w)) * (z \ u). K((x * (y \ 1)) \ 1,z) = (x * T(x \ y,z)) * (y \ 1). (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y). K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). L(K(K(x,y),z),u,w) = K(L(K(y,x),u,w) \ 1,z). K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). L(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 != K(y \ 1,z) | x = K(1 / y,z). L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). L(K(x,y),z,u) \ 1 = K(y,L(x \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. L(K(x,y),z,u) \ w = K(y,L(x \ 1,z,u) \ 1) * w. K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. L(K(x,y),z,u) = 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). 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). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). 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 * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). x != K(y,1 / T(1 / z,u)) | x = T(K(y,z),u). K(x,1 / (y / (y / (1 / z)))) = T(K(x,z),y / (1 / z)). T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). T(x * y,y \ 1) = ((x * y) \ x) \ x. T(x * y,y \ 1) = L(y \ 1,y,x) \ 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,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). (x * y) * (y / (x * y)) = y * K(x \ 1,x * y). (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). K(L(x,y,y \ 1) \ z,u) = K(((y \ 1) * (y * x)) \ z,u). K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). K(x,y \ ((1 / ((z \ u) \ u)) * w)) = K(x,y \ ((z \ K(z,z \ u)) * w)). K(x,y \ ((z \ K(z,z \ u)) * w)) = K(x,y \ ((1 / ((z \ u) \ u)) * w)). 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)). K(x,y * ((1 / z) \ K(z \ 1,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). x != K(y,L(z \ 1,u,w) \ 1) | x = L(K(y,z),u,w). L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). 1 / L(K(x,y),z,u) = L(K(y,x),z,u). L(K(x,y),z,u) \ 1 != w | w = L(K(y,x),z,u). L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. (x * y) \ (K(x \ 1,x) * y) = T((x * y) \ y,T(x,z)). T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. x != y * ((z * (y \ u)) / z) | x = K(z,(y / u) \ 1) * u. x * K(y,(x \ z) \ 1) = K(y,(z / x) \ 1) * x. K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). ((x / y) * z) * (z / ((x / y) * z)) = z * K(y / x,(x / y) * z). K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). K(x,y / z) * y = y * K(x,(y \ z) \ 1). x * K(y,(x \ z) \ 1) = K(y,x / z) * x. T(K(x,y / z),y) = K(x,(y \ z) \ 1). (x * y) \ (T(y,x) * z) = L(x \ z,T(x,y),y). L(x,y,T(z,y)) = L(y \ (y * x),T(y,z),z). L(x \ (x * y),T(x,z),z) = L(y,x,T(z,x)). L(x,T(y,z),z) = L(x,y,T(z,y)). L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. x != L(y,K(z,u),L(z,w,v5)) | x = y. (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). L(x \ (y * z),x,K(y,z)) = (K(y,z) * x) \ (z * y). ((1 / x) * y) * K(x \ 1,x) != z | (x \ 1) * y = z. K(x \ 1,x) * K(y,x) != z | (x \ 1) * (x * K(y,x)) = z. T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. T(x,y) \ T(z * T(z \ x,u),y) != w | K((T(x,y) \ T(z,y)) \ 1,u) = w. L(x,y,z) * u != L(x * K(w \ 1,w),y,z) | u = K(w \ 1,w). K(x \ 1,L(x,y,z)) = K(x \ 1,x). L(x,y,z) * u != L(x * K(1 / w,w),y,z) | u = K(1 / w,w). K(1 / x,L(x,y,z)) = K(1 / x,x). x != K(y \ 1,y) | x = K(L(y,z,u) \ 1,y). K(x \ 1,L(x,y,z)) = K(L(x,u,w) \ 1,x). K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). L(K(1 / x,x),y,z) = K(1 / L(x,y,z),L(x,u,w)). K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). K(x,L(y,x,x \ 1)) * (y * x) = x * y. K(x,y) = K(x,L(y,x,x \ 1)). K(x,L(y,x,x \ 1)) = K(x,y). x * (1 / L(x,y,z)) = L(x,y,z) \ T(x,L(x,u,w) \ 1). L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). K(x,y) * K(x \ 1,x) != z | (x \ 1) * T(x,y) = z. x != L(K(y \ 1,z),u,w) | x = K(L(y,u,w) \ 1,z). K(L(x,y,z) \ 1,x) = K(L(x,y,z) \ 1,L(x,u,w)). K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). x != L(K(1 / y,y),z,u) | x = K(1 / y,y). K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). (x \ 1) * T(x,y) = (x \ K(x,y)) * x. (x \ K(x,y)) * x = (x \ 1) * T(x,y). x != K(L(y,z,u) \ 1,y) | x = K(y \ 1,L(y,w,v5)). K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). x != 1 / T((y * z) \ y,z) | x = ((y * z) \ y) \ 1. K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. x != ((y * K(z,y)) \ 1) \ 1 | x = (y \ 1) \ K(z,y). T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. 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). 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). (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). (x * K(y,z \ 1)) / z = (x / z) * K(y,z \ 1). (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,(z \ 1) \ 1). (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). 1 / (x \ K(y,1 / x)) = K(1 / x,y) / (x \ 1). K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). K(x,y \ 1) = K(x,R(y,x,z) \ 1). K(x,R(y,x,z) \ 1) = K(x,y \ 1). x != R(K(y,y \ 1),z,u) | x = K(y,y \ 1). K(x,R(x,y,z) \ 1) = K(x,x \ 1). R(K(x,y),z,u) = K(x,R(y \ 1,z,u) \ 1). K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). R(K(x,y / z),u,w) = K(x,R(z / y,u,w) \ 1). K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). x != K(y,R(z / u,u,w) \ 1) | x = K(y,(u * w) / (z * w)). R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). K(x,(y * (z \ 1)) \ 1) = R(K(x,z / y),z,z \ 1). R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). K(x,y * (z \ 1)) = R(K(x,y / z),y,z \ 1). R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). R(K(x,y),z,u) = K(x,(z * u) / ((y \ z) * u)). K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). K(x,R(y,y \ z,u)) = R(K(x,y),z,u). K(x,y) = R(K(x,y),T(y,z),u). R(K(x,y),T(y,z),u) = K(x,y). x * y != R(K(z,u),T(u,w),v5) | x \ K(z,u) = y. (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. R(K(x,y),y,z) = K(x,y). K(x,y) * (T(y,z) * u) = (K(x,y) * T(y,z)) * u. (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). x != K(y,z / (u * z)) | x = K(y,u \ 1). R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). x != R(K(y \ 1,z),u,w) | x = K(R(y,u,w) \ 1,z). K(x \ 1,y) = K(R(x,y,z) \ 1,y). K(R(x,y,z) \ 1,y) = K(x \ 1,y). R(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). K(x,R(y,z,u)) = R(K(x,y),y * z,u). R(K(x,y),y * z,u) = K(x,R(y,z,u)). K(x,R(R(y,z,u),z * u,w)) = R(K(x,R(y,z,u)),(y * z) * u,w). R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),K(z,y) * u,w). R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). K(x * y,x) = K(x * y,R(x,y,z)). K(x * y,R(x,y,z)) = K(x * y,x). K(x \ 1,R(y,z,u)) = K(R(x,y * z,u) \ 1,y). K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. K(x,(y / z) \ x) = K(x,(x * z) / y). K(x,(x * y) / z) = K(x,(z / y) \ x). R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x). K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). L(x,T(y,z),K(u,y)) = x. K(x,(((y * z) * u) / ((x * z) * u)) \ 1) = K(x,R(y / x,x * z,u) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). R(K(x,y),z,z \ 1) = K(x,((y \ z) * (z \ 1)) \ 1). K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u). K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). x \ (((y \ (x / z)) * y) * z) = K((x \ (y / (z \ 1))) \ 1,y). K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). x * ((y \ (x \ z)) * y) = z * K((z \ (y * x)) \ 1,y). x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). K(x,(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 \ y,x) = K(y / x,(y / x) \ y). K(x / y,(x / y) \ x) = K(y \ x,y). K(x * y,T(x,z)) = K(y * x,T(x,z)). K(x * y,T(y,z)) = K(y * x,T(y,z)). K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). R(x,y \ 1,x) = R(x,x \ (y \ x),x). R(x,x \ (y \ x),x) = R(x,y \ 1,x). K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. 1 = K(R(x,y,z),x \ R(x,u,w)). K(R(x,y,z),x \ R(x,u,w)) = 1. x != (y \ K(y,z)) * y | x = (y \ 1) * T(y,z). K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). 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. x * y != R(z,u,w) \ R(T(z,v5),u,w) | x \ K(v5,R(z,u,w)) = y. R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). R(K(x,y),z,u) \ 1 != w | w = R(K(y,x),z,u). R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). x != (y * T(y \ z,z)) * (z \ 1) | x = K(y \ z,z). K((x * (y \ 1)) \ 1,y) = K(x \ y,y). (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). x != K(((1 / y) * z) \ u,w) | x = K(((y \ 1) * z) \ u,w). (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 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)). L(K(x,y),z,u) * w = L(K(y,x),z,u) \ w. L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. L(K(x,y),z,u) \ w = L(K(x,y),z,u) * w. x != L(K(y,z),u,w) * v5 | L(K(z,y),u,w) * x = v5. L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. L(K(x,y),z,u) \ w != v5 | v5 = L(K(y,x),z,u) * w. L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. x * y != L(K(z,u),w,v5) \ y | x = L(K(u,z),w,v5). L(K(x,y),z,u) = L(K(y,x),z,u). x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). x != K(y \ z,y) * (y \ u) | x = ((y \ z) \ z) \ u. x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T(T(z \ (y \ z),T(y,u)),z)). T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). x != y / (z * ((u \ (z \ y)) * u)) | x = K(u,y / (u * z)). K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). x != (y * z) \ (K(y \ 1,u) * z) | x = T((y * z) \ z,u). T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). K(x,y \ K(y,z)) * z = z * K(x,y \ 1). R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. x * y != (1 / ((z * u) \ z)) * K(u,u \ 1) | (((z * u) \ z) \ 1) / y = x. (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). (1 / (x \ y)) * (x \ T(y,z)) = K((((x \ y) \ 1) * (x \ 1)) \ 1,z). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). (x \ 1) * y != K(x \ R(x,z,u),x) | y = T(x,R(x \ 1,w,v5)). T(x,R(x,y,z) \ 1) = T(x,R(x \ 1,u,w)). T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). T(x,x \ 1) = T(x,R(x,y,z) \ 1). T(x,R(x,y,z) \ 1) = T(x,x \ 1). (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. R(x,y,z) \ x = (R(x,y,z) \ 1) * ((x \ 1) \ 1). (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. x != (R(y,z,u) \ 1) * ((y \ 1) \ 1) | x = (1 / R(y,z,u)) * y. R(x,y,z) \ x = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = R(x,y,z) \ x. x / R(x,y,z) = R(x,y,z) \ x. x * y != R(x,z,u) \ x | T(1 / R(x,z,u),x) = y. T(1 / R(x,y,z),x) = R(x,y,z) \ 1. (R(x,y,z) \ x) * R(x,y,z) = x. R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). x != R(K(y,z),u,w) \ v5 | x = R(K(z,y),u,w) * v5. (x / y) * z = R(K(y,x),x / y,z) * ((x / T(y,x)) * z). R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. K(x / (y \ 1),1 / z) != u | K(x / (1 / y),1 / z) = u. L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. T(L(x,x \ y,x),z) = L(T(x,z),x \ T(y,x),x). L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). R(L(T(x,y),x \ z,x),u,w) = L(R(T(x,y),u,w),x \ T(z,x),x). L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). x \ (T(y,y \ x) * z) = L((x / y) \ z,y \ x,y). L((x / y) \ z,y \ x,y) = x \ (T(y,y \ x) * z). 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). (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. (L(x,y,z) \ x) / x = 1 / L(x,y,z). (1 / L(x,y,z)) * x = L(x,y,z) \ x. (L(x,y,z) \ x) * L(x,y,z) = x. (L(x,y,z) \ x) \ x = L(x,y,z). T(x,y) \ K(z,x) = (K(x,z) * T(x,y)) \ 1. (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). x != R(y,z,1 / u) | x = R(y,z,u \ 1). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. ((x * y) / R(x,y,x)) * x = (y * x) * K(R(x,y,x),y * x). (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. x / (((x \ 1) \ 1) * y) = (1 / (1 / x)) / (x * y). (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). x != ((T(y,z) * u) * w) / ((y * u) * w) | x = R(K(y,z),y * u,w). 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). R(K(x,y),z,u) = K(R(x,x \ z,u),y). K(R(x,x \ y,z),u) = R(K(x,u),y,z). R(K(R(x,y,z),u),w,v5) = R(R(K(x,u),w,v5),x * y,z). R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). R(K(x,y),K(x,z) * u,w) = K(R(x,K(x,z) * (x \ u),w),y). K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). x != R(y,1,z) | x = y. K(R(x,x \ 1,y),z) = K(x,z). K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). x != K(y,L(z,y,y \ 1)) | x = K(y,z). K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). 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). R(K(x / (y / z),u),x,z) = K((x * z) / y,u). x != R(K(y,z),z,u) | x = K(y,z). K((x * y) / z,x) = K(x / (z / y),x). x != K(y / z,y) | x = K(z \ y,y). K((x * y) / z,x) = K((z / y) \ x,x). K((x * y) / z,x) != u | K((z / y) \ x,x) = u. T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). T(x,y) / (T(x,y) * y) = x / (x * y). (x / (x * y)) \ T(x,y) = T(x,y) * y. x != T(y,z) * (y \ K(y,u)) | x = K(y,u) * K(y,z). (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). (x * (K(y,z) * u)) / (x * u) = K((x * u) / (x * (y \ u)),z). K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). x != T(y,z) * T(T(y,z) \ z,u) | x = T(y * T(y \ z,u),z). x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. (1 / x) * (K(x,y) * z) = K(x,y) * ((1 / x) * z). K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). x * y != (1 / z) * (K(z,u) * w) | x \ (K(z,u) * ((1 / z) * w)) = y. (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. (x \ 1) * (K(x,y) * z) = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). K(x,y) * (T(z,u) * K(y,x)) = T(K(x,y) * (z * K(y,x)),u). T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). (x * (y \ 1)) * K(z,y) = (x * K(z,y)) * (y \ 1). (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). K(x,y * (((1 / z) * u) * w)) = K(x,y * ((z \ L(u,1 / z,z)) * w)). K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). x != K((y * (z \ 1)) \ 1,u) | x = (y * T(y \ z,u)) * (z \ 1). (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 * y) * K(T(y,x),x * y) = ((y * x) / R(y,x,y)) * y. ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). x != (y * z) * K(T(z,y),y * z) | x = T(z,y * z) * T(y,z). ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). (x / R(y,y \ x,y)) * y = T(y,(y \ x) * y) * T(y \ x,y). T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. ((x \ K(x,y)) * T(x,z)) \ 1 = (K(x,y) * K(x,z)) \ K(x,x \ 1). (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). (K(x,y) * T(z,u)) * K(y,x) = T((K(x,y) * z) * K(y,x),u). T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. (x * (y / 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,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. T(x,y) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). x != T(y,z) * T(y \ z,y) | x = (y \ z) * T(y,z). (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). x * y != (y \ z) * T(y,z) | x = y \ (z * K(y,z)). x / R(y,y \ x,y) = y \ (x * K(y,x)). x != y \ (z * K(y,z)) | x = (y * K(z,y)) \ z. x / R(y,y \ x,y) = (y * K(x,y)) \ x. x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). x != K(y,(z / u) \ 1) | x = K(y,u / z). (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). x != T(y,T(T(z \ u,w),z)) | x = T(y,T(u / z,w)). T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T((y \ z) / z,T(y,u))). T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). x != T(y,(z \ u) / u) | x = T(y,z \ 1). T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). x != T(y,((z \ 1) \ 1) \ u) | x = T(y,z \ u). T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). x != R(L(y,z,u),w,v5) | x = L(R(y,w,v5),z,u). L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). (1 / (1 / x)) / K(y,x) = x / (T(x,y) \ ((x \ 1) \ 1)). x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). x != (1 / (1 / y)) / K(z,y) | x = T(1 / (1 / y),z). x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). T(K(x,y) * z,z) / z = K(x,(T(y \ z,z) / z) \ 1). K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. x != T(y * z,u) / z | x = z \ T(z * y,u). K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). x \ T(x * K(y,z),x) = K(y,x / T(z \ x,x)). K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). K(T(1 / x,K(x,y) * z) \ 1,u) = L(T(K(x,u),z),z,K(x,y)). L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). x != K(T(1 / y,z) \ 1,u) | x = T(K(y,u),z). L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). x * L(T(K(y,z),K(y,u) * (K(y,u) \ x)),w,v5) = K(y,u) * ((K(y,u) \ x) * L(T(K(y,z),K(y,u) \ x),w,v5)). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). R(x,y,L(x,z,u)) = T(x * K(y * L(x,z,u),x),y). T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (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. x * (y * K(z,y)) = (x * K(z,y)) * y. (x * K(y,z)) * z = x * (z * K(y,z)). R(x,K(y,z),y) = x. R(x,R(K(y,z),u,w),y) = x. x * (R(K(y,z),u,w) * y) = (x * R(K(y,z),u,w)) * y. (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). (x * K(y,z)) * z = x * T(z,y). x / y = (x / T(y,z)) * K(z,y). (x / T(y,z)) * K(z,y) = x / y. x * y != (z * y) * T(y,u) | x = z * T(y,u). (x * y) * K(z,y) = x * T(y,z). (x * K(y,z)) * y = x * T(y,z). x * y != T(z,u) / T(u,z) | (z / u) / y = x. (x / y) / K(z,T(y,x)) = T(x,y) / T(T(y,x),z). x / y = (x / T(y,z)) * K(y,z). (x / T(y,z)) * K(y,z) = x / y. (x / (y / z)) * K(z,z \ y) = x / (z \ y). (x / ((y * z) / y)) * K(y,z) = x / z. (x / y) * K(x,y) = T(x,y) / y. x != y * T(z,u) | x = (y * K(u,z)) * z. (x * y) * K(z,y) = (x * K(z,y)) * y. (x * K(y,z)) * z = (x * z) * K(y,z). x * T(y,z) = (x * y) * K(y,z). (x * y) * K(y,z) = x * T(y,z). x * y != (z * u) * K(w,u) | x \ (z * T(u,w)) = y. (x * y) \ (x * T(y,z)) = K(y,z). (x * (y \ z)) * K(y,y \ z) = x * (z / y). (x * y) * K(z,y) = x * (y * K(z,y)). x * T(y * K(x,z),x) = y * T(x,z). x * y != z * T(x,u) | T(z * K(x,u),x) = y. T(x * K(y,z),y) = y \ (x * T(y,z)). x \ (y * T(x,z)) = T(y * K(x,z),x). (x * T(y,z)) / y = x * K(y,z). (x * K(y,z)) \ (x * T(y,z)) = y. x * y != (1 / z) * T(z,u) | K(z,u) / y = x. K(x,y) / x = (1 / x) * K(x,y). (1 / x) * K(x,y) = K(x,y) / x. x * y != z * T(y,u) | x = (z / y) * T(y,u). x * K(y,z) = (x / y) * T(y,z). (x / y) * T(y,z) = x * K(y,z). x * y != (y \ T(z,y)) * T(y,z) | x = y \ z. (x \ T(y,x)) * K(x,y) = x \ y. x * T(y,z) != u * y | x * K(y,z) = u. a(x,y * K(z,u),z) = (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z). (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. (T(x,y) \ 1) * y = (x \ 1) * T(y,x). K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). (x * T(y,z)) * z = (x * y) * T(z,y). (x / (y \ z)) * K(z / y,y) = x / (z / y). (x / y) / K(y,z) != u | u = x / T(y,z). (x / y) / K(y,z) != u | x / T(y,z) = u. x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. R(x,y,K(y,z)) = x. L(K(x,y),x,z) = K(x,y). x \ (y * K(x \ y,z)) = T(x \ y,z). x * K(y \ x,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K(x \ y,z). K(x,y) * z != u * T(x,y) | T(u * x,K(x,y)) = z. T(x * y,K(y,z)) = K(y,z) \ (x * T(y,z)). K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). x * y != (z / u) * u | x \ z = y. ((x / T(y,z)) * y) \ x = K(y,z). x * T(x \ y,z) != u | y * K(x \ y,z) = u. ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). (x * y) * K(y * x,z) = K(x,y) * T(y * x,z). K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). L(K(x,y),x,z) = R(K(x,y),x,u). R(K(x,y),x,z) = L(K(x,y),x,u). a(x,y,K(y,z)) = 1. R(K(x,y),z,u) = L(R(K(x,y),z,u),x,w). L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). a(x,y,K(z,y)) = 1. L(K(x,y),y,z) = K(x,y). L(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). x != K(y,z) | x = K(y,z * K(y,z)). L(K(x,y),y,z) = K(x,y * K(x,y)). x != L(K(y,z \ u),z \ u,z) | x = K(y,(u \ z) \ 1). K(x,y \ z) = K(x,(z \ y) \ 1). K(x,(y \ z) \ 1) = K(x,z \ y). L(K(x,y),z,u) = L(L(K(x,y),z,u),y,w). L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). (x * y) * K(y,z) != u | u = x * T(y,z). (x * y) * K(y,z) != u | x * T(y,z) = u. L(x,K(x,y),z) = x. L(T(x,y),K(x,z),u) = T(x,y). (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). (x \ (x * y)) * x = L(y * x,K(x * y,z),u). L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. L(x,K(y,x),z) = x. (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). 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) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. T(x,(x / y) / x) = T(x,1 / y). x * y != (z * u) * K(w,u) | (z * T(u,w)) / y = x. (x * T(y,z)) / T(z,y) = (x * y) / z. x * y != (z / u) * T(u,w) | x \ (z * K(u,w)) = y. ((x / y) * K(y,z)) \ (x * K(y,z)) = y. (x \ T(y,x)) \ (x \ y) = K(x,y). K(x,y) = (x \ T(y,x)) \ (x \ y). L(K(x,y),x,z) != u | K(x,y) = u. K(x,1 / (y \ z)) = K(x,z \ y). K((x \ y) \ 1,z) = K(z,y \ x). x != K(y,z) | x = L(K(y,z),z,u). K(x,(y \ z) \ 1) = L(K(x,z \ y),z \ y,u). L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 1). K(x,(y \ z) \ 1) = K(z \ y,x). x != K((y \ z) \ 1,y \ z) | x = K(z \ y,y \ z). K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). x != K(y,(z \ u) \ 1) | x = T(K(y,z / u),z). K(x,y \ z) = T(K(x,z / y),z). T(K(x,y / z),y) = 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,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). 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). K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). x * K(y,z \ x) = z * ((y * (z \ x)) / 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). T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). K(x,1 / L(y,z,u)) = K(x,(u * (z * y)) \ (u * z)). K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). K((x \ y) \ 1,z) = K(y \ x,z). K((x \ y) \ 1,z) != u | K(y \ x,z) = u. K(x \ y,z) != u | K((y \ x) \ 1,z) = u. K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. T(K(x,y),z) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = T(K(x,y),z). K(x,(y * (z / u)) \ y) = K(x,u / z). K(x,L(y \ 1,y,z)) = K(x,y \ 1). K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). K(((x * y) \ x) \ 1,z) = K(y,z). x != K((y \ z) \ 1,u) | x = T(K(y / z,u),y). K(x \ y,z) = T(K(y / x,z),y). T(K(x / y,z),x) = K(y \ x,z). x != K((y \ (z / u)) \ 1,z) | x = y \ (((z \ (y * u)) * z) / u). K((x / y) \ z,x) = z \ (((x \ (z * y)) * x) / y). x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). x != K((y \ (z \ y)) \ 1,u) | x = T(K(z,u),y). K((x \ y) \ y,z) = T(K(x,z),y). K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). L(K(x \ y,z),u,w) = K(L(y \ x,u,w) \ 1,z). K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). x \ T(x * y,z) = y * K((x \ 1) \ y,z). x * (y * K((x \ 1) \ y,z)) = T(x * y,z). x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). K(x,T(y,y \ z)) = T(K(x,y),z). K(x,T(y,z / y)) = T(K(x,y),z). K(x,T(y,z)) = T(K(x,y),z * y). T(K(x,y),z * y) = K(x,T(y,z)). x * y != K(((z * u) \ z) \ 1,w) | x \ K(u,w) = y. ((x * y) \ x) \ K(y,z) = T(((x * y) \ x) \ 1,z). T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). T(K(x \ y,z),y) = K(y / x,z). x * K(y \ x,z) = K(x / y,z) * x. K(x / y,z) * x = x * K(y \ x,z). K(x \ y,z) * y = y * K(y / x,z). T(K(x \ y,z),y) != u | u = K(y / x,z). T(K(x \ y,z),y) != u | K(y / x,z) = u. K(T(x,x \ y),z) = T(K(x,z),y). K(x,T(y,z)) = T(K(x,y),y * z). T(K(x,y),y * z) = K(x,T(y,z)). x != T(K(y,z / u),z) | x = K(y,u \ z). K(x / y,x / z) = K(y \ x,z \ x). K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. x != K(y,T(z,u)) | x = T(K(y,z),u * z). T(K(x,y),y * z) = T(K(x,y),z * y). T(K(x,y),z * y) = T(K(x,y),y * z). x != T(K(y \ z,u),z) | x = K(z / y,u). K(x \ (y * z),T(y,z)) = K((y * z) / x,y). (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). (x * (y * K(z,y))) * z = (x * y) * T(z,y). x * y != (z * u) * T(w,u) | ((z * T(u,w)) * w) / y = x. ((x * T(y,z)) * z) / (z * y) = R(x,y,T(z,y)). x * y != (z * u) * T(w,u) | x \ ((z * T(u,w)) * w) = y. (x * (y * z)) \ ((x * T(z,y)) * y) = a(x,z,T(y,z)). (x * ((y * z) / y)) * y = (x * z) * T(y,z). 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 * T(x \ (y / z),y / z)) * z) / y = R(K(x \ (y / z),y / z),y / z,z). R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. R(x,y,T(z,y * z)) = ((x * y) * z) / (y * z). ((x * y) * z) / (y * z) = R(x,y,T(z,y * z)). x != y * K(y,z) | x = T(y,z). T(x,(y \ z) \ 1) = T(x,z \ y). T(x,y \ 1) = T(x,(z * y) \ z). T(x,(y * z) \ y) = T(x,z \ 1). T(x,((y * z) \ y) \ 1) = T(x,z). T(x,T(y,z) \ 1) = T(x,(y * z) \ z). ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). T(K(x,y),(z * y) \ z) != u | K(x,y) = u. T(x,L(y \ 1,y,z) \ 1) = T(x,y). (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). x != T(y,L(z \ 1,z,y) \ 1) | x = T(y,y \ T(y * z,z \ 1)). T(x,y) = T(x,x \ T(x * y,y \ 1)). T(x,x \ T(x * y,y \ 1)) = T(x,y). K(x,y \ T(z,z \ y)) = K(x,z / y). x / T(y * x,T(y,x) \ 1) = (y * x) \ x. T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). K(x,y \ (z \ y)) = K(x,(y / z) / y). K(x,(y / z) / y) = K(x,y \ (z \ y)). x * R(K(y,z),u,w) = (x / y) * (y * R(K(y,z),u,w)). (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. K(x,1 / (y \ z)) != u | K(x,z \ y) = u. K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. T(K(x,y / z),y) != u | K(x,z \ y) = u. K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. x * K(y,y \ z) = (x / (y \ z)) * (z / y). (x / (y \ z)) * (z / y) = x * K(y,y \ z). x != K(y,z) \ (u * T(y,z)) | x = y * T(u,T(y,z)). T(x * y,K(y,z)) = y * T(x,T(y,z)). T(x * y,K(z,y)) = y * T(x,T(y,z)). T(x,K(y,z)) = y * T(x / y,T(y,z)). x * T(y / x,T(x,z)) = T(y,K(x,z)). T(x * y,K(z,y)) != y * u | T(x,T(y,z)) = u. x \ T(y,K(x,z)) = T(y / x,T(x,z)). x != (y * z) * ((y * ((y * z) \ u)) / y) | x = (y * ((u / z) / y)) * z. x * K(y,(y * z) \ x) = (y * ((x / z) / y)) * z. (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). x * ((y * (x \ z)) / y) != z * u | K(y,x \ z) = u. K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). x != (y \ z) \ T((y \ z) * y,u) | x = T(z,u) / (y \ z). x * K(((x \ y) \ 1) \ x,z) = T(y,z) / (x \ y). 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). x != K((y * z) / u,y) | x = K((u / z) \ y,y). K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. x != K(y,y \ z) * ((y \ z) * u) | x = (z / y) * u. ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. K(x,(y / z) \ 1) != u | u = K(x,z / y). K(x,(y / z) \ 1) != u | K(x,z / y) = u. (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. K(x,(y * (z / u)) \ y) != w | K(x,u / z) = w. L(x * y,K(y * x,z),u) = x * y. (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. R(x,T(y,z),z) = R(x,y,T(z,y)). R(x,y,T(z,y)) != u | R(x,T(y,z),z) = u. R(x,y / z,z) = R(x,z \ y,T(z,z \ y)). R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). R(x,y * K(z,y),z) = R(x,y,T(z,y)). x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. R(x,y,T(z,y * z)) != u | R(x,y,z) = u. K(x,y) != z | R(K(x,y),y,u) = z. K(((x \ 1) * y) \ y,z) = T(K(x,z),y). K(T(x \ y,x),z) != u | K(y / x,z) = u. K(x,(y * z) \ z) != u | K(x,z / (z * y)) = u. x * (y \ R(y,x,y)) = T(y * x,y) / y. (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | R(y,y \ 1,x \ R(x,y \ 1,x)) = z. K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). R(x,K(y,z),T(z,u)) = x. (x * K(y,z)) * T(z,y) = x * z. (x * K(y,z)) * K(z,y) = x. (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 / T(y \ x,z) = y * K(z,y \ x). x * T(y,z) != (y \ z) * y | x = y \ T(z,y). (x \ y) * K(y,x) = x \ T(y,x). x * T(y,z) != (u * ((y * z) / y)) * y | x = u * z. (x * ((y * z) / y)) * K(z,y) = x * z. x * T(y,z) != (u * K(z,y)) * y | x = u. (x * K(y,z)) * K(y,z) = x. x * T(y,z) != (y \ K(y,z)) * y | x = y \ 1. (x \ K(x,y)) * K(y,x) = x \ 1. x * T(y,z) != (u * T(y,z)) * y | x = u * 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,y \ z) != u * (z / y) | x = u * (y \ z). (x * (y / z)) * K(z \ y,z) = x * (z \ y). x * K(y,z) != u / z | x = u / ((y * z) / y). (x / y) * K(y,z) = x / ((z * y) / z). x / ((y * z) / y) = (x / z) * K(z,y). x * K(y,z) != u / z | x = u / T(z,y). (x / y) * K(y,z) = x / T(y,z). x * K(y,z) != K(y,z) * u | x = T(u,K(z,y)). (K(x,y) * z) * K(y,x) = T(z,K(y,x)). x * K(y,z) != K(y,z) * K(z,u) | x = K(z,u). (K(x,y) * K(y,z)) * K(y,x) = K(y,z). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). x * y != (z * K(u,w)) * K(w,u) | z / y = x. x / T(y,z) = (x * K(z,y)) / y. (x * K(y,z)) / z = x / T(z,y). x / K(y,z) = x * K(y,z). x * y != (z * K(u,w)) * K(w,u) | x \ z = y. (x * K(y,z)) \ x = K(y,z). x != y * K(z,u) | x * K(u,z) = y. x * K(y,z) != u | u * K(z,y) = x. L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). (x * K(y,z)) \ x != u | u = K(z,y). (x * K(y,z)) \ x != u | K(z,y) = u. x / K(y,z) != u | u = x * K(z,y). x / K(y,z) != u | x * K(z,y) = u. (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. x != y * K(z,u) | x * K(z,u) = y. x * K(y,z) != u | u * K(y,z) = x. K(x,y) * z = T(z * K(x,y),K(x,y)). T(x * K(y,z),K(y,z)) = K(y,z) * x. x * y != (z * K(u,w)) * K(u,w) | z / y = x. x / T(y,z) = (x * K(y,z)) / y. (x * K(y,z)) / y = x / T(y,z). T(K(x,y) \ z,K(x,y)) = z * K(y,x). x != (y * z) * K(z,u) | x = y * T(z,u). (x * y) / K(z,y) = x * T(y,z). (x * K(y,z)) * K(z,y) != u | u = x. R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). x / (K(y,z) \ 1) = x * K(y,z). K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). (x / y) * K(z,y) != u | x / T(y,z) = u. (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). ((x * K(y,z)) \ x) \ u = K(y,z) * u. (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). (x * T(x \ y,z)) \ y = K(z,(y \ x) \ 1). (x * R(K(y,z),u,w)) \ x = K(z,R(y,y \ u,w)). K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. (x * (y * K(z,y))) \ (x * y) = K(y,z). (x * T(x \ y,z)) \ y = K(z,x \ y). (x * K(y,z)) * K(y,z) != u | u = x. x * y != z * K(u,x) | T(z / T(x,u),x) = y. T(x / T(y,z),y) = y \ (x * K(z,y)). x \ (y * K(z,x)) = T(y / T(x,z),x). (x * K(y,z)) * K(z,u) = (x / T(z,y)) * T(z,u). (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). (x * K(y,z)) \ (x * y) = T(y,z). x * y != (z / u) * K(w,u) | x \ (z / T(u,w)) = y. x \ (y / T(y / x,z)) = K(x \ y,x) * K(z,y / x). K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). x / T(y \ x,z) != u | y * K(z,y \ x) = u. x * K(y * x,y) = y \ T(y * x,y). x \ T(x * y,x) = y * K(x * y,x). R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). (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). K(x,y) * (z * x) = T(z * T(x,y),K(x,y)). T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). (x / y) * K(y,z) = x / (y * K(z,y)). x / (y * K(z,y)) = (x / y) * K(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). T(x / T(y,z),y) = y \ (x * K(y,z)). x \ (y * K(x,z)) = T(y / T(x,z),x). T(x / T(y,z),y) != u | y \ (x * K(y,z)) = u. K(x,y) * z != u / (K(x,y) \ 1) | T(u,K(x,y)) = z. T(x,K(y,z)) = K(z,y) * (x / (K(y,z) \ 1)). K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). x != T(y,z) | x = y * K(z,y). (x * K(y,z)) \ (x * y) = y * K(z,y). R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. x * K(y,z) != u | x * K(z,y) = u. K(x,y \ ((z * K(u,z \ 1)) \ w)) = K(x,y \ ((T(z \ 1,u) \ 1) \ w)). K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,y \ ((z * K(u,z \ 1)) \ w)). x * K(y,z) = (x / ((z * y) / z)) * y. (x / ((y * z) / y)) * z = x * K(z,y). (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). T(K(x,y) * z,K(y,x)) = z * K(x,y). T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). T(K(x,y) * z,K(x,y)) = z * K(x,y). (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). (x * (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 * x,u) | y = K((z \ 1) \ x,u). K(x * y,x) = K((x \ 1) \ y,x). K((x \ 1) \ y,x) = K(x * y,x). x * (y * K(x * y,x)) = T(x * y,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 \ 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). x != K((y \ 1) \ z,u) | x = K((1 / y) \ z,u). K(x * y,x) = K((1 / x) \ y,x). K((1 / x) \ y,x) = K(x * y,x). (x * K(y,x)) * R(((z * K(x,y)) \ (z * x)) \ x,u,w) = (z * K(x,y)) \ ((z * R(z \ (z * K(x,y)),u,w)) * x). (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). (x / (y / (y / z))) * z = x * K(z,z \ y). (x / (y * K(z,y))) * y = x * K(y,z). x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). T(x,K(y,(x \ z) \ 1)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. x * K(y \ z,y) != (T(y,z) \ z) * y | x = T(z,y). (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). (x / T(y / (y / z),u)) * z = (x * K(u,y / (y / z))) * K(z,z \ y). (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. K((x * y) \ z,x) = K((x / (y \ 1)) \ z,x). K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). x * y != z * ((u \ (z \ x)) * u) | y = K((u * z) \ x,u). K((x * y) \ z,y) = K((y * x) \ z,y). 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). K(x,(x * y) \ z) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,(x * y) \ z). K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). x != K(y,R(z,z \ u,w)) | x = R(K(y,z),u,w). (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). x / R(K(y,z),u,w) = x * R(K(z,y),u,w). ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). x != K(L(y \ z,u,w) \ 1,v5) | x = L(K(z \ y,v5),u,w). K((x * y) \ (x * z),u) = L(K(y \ z,u),z,x). L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). L(K(x,y),z,u) = K((u * (z / x)) \ (u * z),y). K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). x != L(K(y,z),z,u) | x = K(y,z). K(L(x \ y,x,z),y) = K(x \ y,y). L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). K(x \ (y * z),z) = K((y \ x) \ z,z). K((x \ y) \ z,z) = K(y \ (x * z),z). K(L(x,y / x,z),u) = L(K(x,u),y,z). x != L(y,z,u) | x = (u * z) \ (u * (z * y)). 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,y,z),y * x) = K(x,y * x). x != K(y,z * y) | x = K(y,y * z). K(L(x,y,z),y * x) = K(x,x * y). x != L(K(y,z),u,w) \ 1 | x = L(K(z,y),u,w). K(x,L(y,z / y,u)) = L(K(x,y),z,u). K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. K(x,L(y,z,u)) = L(K(x,y),z * y,u). L(K(x,y),z * y,u) = K(x,L(y,z,u)). K(x,L(y \ z,y,u)) = L(K(x,y \ z),z,u). L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). K(x,L(y,z * K(y,u),w)) = L(K(x,y),z * T(y,u),w). L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). K(x \ y,y \ x) = K(x \ y,L(y \ x,z,u)). K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). x != L(K(y,z),u,w) | x = L(L(K(y,z),u,w),z,v5). 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)). x != L(y,z * (1 / z),u) | x = y. K(x,L(1 / y,y,z)) = K(x,1 / y). K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). 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)). K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). K(x \ y,y \ x) = K((1 / x) * y,y \ x). K((1 / x) * y,y \ x) = K(x \ y,y \ x). x != K((1 / y) * z,u) | x = K((y \ 1) * z,u). L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). K(x * y,y \ (x \ 1)) = K((x \ 1) \ y,y \ (x \ 1)). K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. K(x \ (y \ 1),y * x) = K(x \ (y \ 1),(y \ 1) \ x). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). x != L(K((y \ z) \ u,w),u,y) | x = K(z \ (y * u),w). K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). K(x,y \ x) = K(x,(z * y) \ (z * x)). K(x,(y * z) \ (y * x)) = K(x,z \ x). K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. K(x,y \ (z * x)) = K(x,(z \ y) \ x). K(x,(y \ z) \ x) = K(x,z \ (y * x)). K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). T(x,(y * z) \ (y * x)) = x * K(x,z \ x). x != K(y,(z \ L(z,u,w)) \ y) | x = K(y,(y / L(z,u,w)) * z). K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). T(x,(y * z) \ (y * x)) = T(x,z \ x). T(x,y \ (z * x)) = T(x,(z \ y) \ x). T(x,(y \ z) \ x) = T(x,z \ (y * x)). K(x,y \ (z * K(u,z))) = K(x,(z \ y) \ K(u,z)). K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). x != y | x = z \ (z * y). L(K(x,(y \ z) \ u),u,y) = w \ (w * K(x,z \ (y * u))). K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ 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)). 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)). a(x,T(y,z),z) = a(x,y,T(z,y)). x != R(y,K(z,u),T(u,w)) | x = y. x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). x / T(1 / y,z) = (x / T(y \ 1,z)) * K(y \ 1,y). (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). x / L(y,z,y) = (x / T(y,y * z)) * K(y,z). (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). x / R(y,z,y) = (x / T(y,z)) * K(y,y * z). (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). (x / R(y,z,y)) * y = (x / T(y,z)) * T(y,y * z). (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 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). L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. K(x,(y * K(z,u)) \ w) = L(K(x,K(u,z) * (y \ w)),y \ w,y). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). x != (y / T(z,u)) * T(z,w) | x = (y * K(u,z)) * K(z,w). (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 * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). R(x,K(y,z),R(z,u,w)) = x. x != R((y / z) * K(u,w),K(w,u),z) | x = y / (K(w,u) * z). (x / R(y,z,u)) * K(y,w) = x / (K(w,y) * R(y,z,u)). x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). R(x,K(y,z),L(z,u,w)) = x. K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). T(x,1 / y) / y = (x / y) * K(x,1 / y). (x / y) * K(x,1 / y) = T(x,1 / y) / y. x * y != T(z,u) * T(T(z,u) \ u,w) | x \ T(u * K(z \ u,w),u) = y. x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). x \ T(x * K(y,z),x) = K(T(x / y,x) \ x,z). K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). x != y \ T(y * K(z,u),y) | x = K(z,T(y / u,y) \ y). K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). K(x \ 1,y) = T(K(x \ K(x,z),y),z). T(K(x \ K(x,y),z),y) = K(x \ 1,z). x * K(y \ 1,z) = K(y \ K(y,x),z) * x. K(x \ K(x,y),z) * y = y * K(x \ 1,z). (x * 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 * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). x * y = (x * (y * K(z,u))) * L(K(u,z),y,x). (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. x * y != (x * (y * K(z,u))) * w | L(K(u,z),y,x) = w. (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. (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 * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). x * y != K((z \ 1) \ u,u \ (z \ 1)) | x \ K(z * u,u \ (z \ 1)) = y. ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). 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 / T(1 / y,z)) \ 1 = (x / T(y \ 1,z)) \ K(y,y \ 1). (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). 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. L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). x != (y * (z * K(u,w))) \ (y * z) | x = L(K(w,u),z,y). L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). x != K(y,L(L(z \ 1,u,w),v5,v6)) | x = K(y,L(L(1 / z,u,w),v5,v6)). K(x,1 / L(y,z,u)) = K(x,L(L(1 / y,y,z),z * y,u)). K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). L(K(x,(y \ z) \ u),u,y) != w | w = K(x,z \ (y * u)). L(K(x,(y \ z) \ u),u,y) != w | K(x,z \ (y * u)) = w. K(x,(y \ z) \ x) != u | K(x,z \ (y * x)) = u. (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). T(K(x,y) * z,u) \ T(z,u) = K(y,T(x \ z,u) \ T(z,u)). K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). x * (y * K(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). x * (y * K(z,(x \ 1) \ y)) != (x * y) * u | K(z,x * y) = u. (x * y) * z != x * (y * K(u,(x \ 1) \ y)) | K(u,x * y) = z. (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. x != K(y,z) * (K(z,y) * u) | x = u. (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). x * (y * z) != T(z * y,u) | x = (y * z) \ T(z * y,u). K(x,y) * K(x * y,z) = (y * x) \ T(x * y,z). (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). T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). x != L(K(y \ (z \ u),w),z \ u,z) | x = K((z * y) \ u,w). K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). K((x * (y / x)) \ z,y) = K(y \ z,y). K(((x \ y) * x) \ z,y) = K(y \ z,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) | x = T(u,z). T(x,((y \ x) * y) \ z) = T(x,x \ z). 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). x != T(y,z \ u) / ((u \ z) \ y) | x = y / ((y \ ((u \ z) \ y)) * y). x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). ((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). ((x * 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) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). K((x * y) \ (z * y),u) = (z * y) \ ((z * K(x \ z,u)) * y). (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. (x * y) * z != (x * K(u,y)) * y | z = K(u,y). K((x * y) \ (z * y),y) = K(x \ z,y). K(x \ (y * z),z) = K((x / z) \ y,z). K((x / y) \ z,y) = K(x \ (z * y),y). K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). K(x,y \ z) = K(x,(y * x) \ (z * x)). K(x,(y * x) \ (z * x)) = K(x,y \ z). K(x,(x * y) \ (z * x)) = K(x,y \ z). K(x,y \ (z * x)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (z * x)). K(x,y) = K(x,z \ (((x \ z) * y) * x)). K(x,y \ (((x \ y) * z) * x)) = K(x,z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). x != (y * (z \ ((u \ (z * (y \ w))) * u))) \ w | x = K(u,(y * (z \ u)) \ w). K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). K(x,(y * (x / y)) \ z) = K(x,x \ z). K(x,(y * z) \ u) = K(x,(y * ((z \ x) \ x)) \ u). K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). K(x,y \ z) = K(x,((y / T(u,u \ x)) * u) \ z). K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). K(x,y \ z) = K(x,((y \ x) \ x) \ z). K(x,((y \ x) \ x) \ z) = K(x,y \ z). R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). x != L(((y / z) / y) \ 1,(y / z) / y,y) | x = (T(y,z \ 1) / z) \ y. 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). K(x,y * (((z \ 1) * u) * w)) = K(x,y * (((1 / z) * u) * w)). K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((((K(u,z) / u) \ 1) * z) * w)). K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). x != R(K(y,z),y * u,w) | x = K(R(y,u,w),z). K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). x / (K(R(y * z,u,w),y) * x) = K(R(R(y,z,u),z * u,w),y * z). K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = 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). L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). x != K(y \ 1,L(y,z,u)) * (y / L(y,w,v5)) | x = (L(y,w,v5) \ 1) * y. 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). K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). x * y != K(z \ u,z) * R(T(z,z \ u),w,v5) | x \ (u \ ((R(z,w,v5) * (z \ u)) * z)) = y. x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = T(x,x \ y) \ R(T(x,x \ y),z,u). T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). x != K(y,z \ ((1 / u) * w)) | x = K(y,z \ ((u \ 1) * w)). K(x,y \ ((z \ K(z,z \ u)) * w)) = K(x,y \ ((((z \ u) \ u) \ 1) * w)). K(x,y \ ((((z \ u) \ u) \ 1) * w)) = K(x,y \ ((z \ K(z,z \ u)) * w)). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),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) * y != K(z \ 1,z) / x | y = K(z \ 1,z). K(x \ (1 / y),x * y) = K((x * y) \ 1,x * y). K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). x != K((y * (z \ 1)) \ 1,y * (z \ 1)) | x = (z * K((y / z) \ 1,y / z)) * (z \ 1). K(x \ y,x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). K(x \ y,y \ x) = K(x \ y,x * (y \ 1)). K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). x != K(y \ (z \ 1),u * T(w,w \ 1)) | x = K(y \ (1 / z),u * w). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). x != K(y \ (z \ 1),(z \ 1) \ y) | x = K(y \ (z \ 1),z * y). K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). x != K(y \ (1 / z),y * z) | x = K((y * z) \ 1,y * z). K(x \ (y \ 1),y * x) = K((x * y) \ 1,x * y). K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((x \ y) \ T((x \ y) * x,x)). (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). ((x * y) * T(z,u)) / (y * T(z,u)) = R(R(x,y,z),y * z,K(z,u)). R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. x != R(R(y,z,u),w,v5) | x = R(R(y,w,v5),z,u). R(x,y,T(z,u)) = R(R(x,y * z,K(z,u)),y,z). R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). x != y \ T(y * K(z,u),y) | x = K(T(y / z,y) \ y,u). K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). (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). (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) | x = K(z,y). (x \ T(y,x)) * ((x \ y) \ 1) = K(y,x). K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). K(x * y,x) = (x \ T(x * y,x)) * (y \ 1). (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). (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). 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 != (1 / y) * K(z \ (y \ 1),u) | x = K((z * y) \ 1,u) / y. T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. 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(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). T(x * K(y,x),x * y) = L(x,y,x * K(y * x,x)). L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). R(x,T(K(y,z),u),T(K(z,y),u)) = (x * T(K(y,z),u)) * T(K(z,y),u). (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). x != K((y \ z) \ 1,u) | x = K(z \ y,u). K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). T(x,T(y,z) \ T(x,z)) = x / K(y \ x,T(x,z)). 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) | x = K(z,y). K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). T(1 / R(x,y,z),x) = ((1 / R(x,y,z)) * x) * (x \ 1). ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). x != T(1 / R(y,z,u),y) | x = R(y,z,u) \ 1. (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. (x \ 1) * y != R(x,z,u) \ 1 | T(R(x,z,u) \ x,x \ 1) = y. T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. K(R(x,y,z) \ x,x \ 1) = 1. T(1 / x,R(x,y,z) \ x) = 1 / x. (1 / x) * R(T(1 / x,R(x,y,z) \ x) \ 1,u,w) = T((1 / x) * R((1 / x) \ 1,u,w),R(x,y,z) \ x). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). x != K(y,R(z / u,w,v5) \ 1) | x = R(K(y,u / z),w,v5). K(x,((x * y) * z) / ((u * y) * z)) = R(K(x,x / u),x * y,z). R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). K(x,(y * z) / ((u * (x \ y)) * z)) = K(R(x,x \ y,z),u \ x). K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). x != K(R(y,y \ z,u),w) | x = R(K(y,w),z,u). K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). 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) | x = L(y,z,y). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),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 | w = x. L(x,y,K(z \ 1,z)) != u | u = x. (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) != u | u = y \ z. (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) != u | y \ z = u. 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). K(x,y) * (R(K(y,x),z,u) * w) = (K(x,y) * R(K(x,y) \ 1,z,u)) * w. (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * ((z * u) * w)) = K(x,y * ((z * (1 / (1 / u))) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). x != T(y,y \ z) \ R(T(u,u \ w),v5,v6) | x = ((y \ z) \ z) \ R((u \ w) \ w,v5,v6). x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = ((x \ y) \ y) \ R((x \ y) \ y,z,u). ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). (x * y) \ (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 \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). x != R(K(y,(z / u) / w),z / u,u) | x = K(y,z / (w * u)). ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). ((x * y) * (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))). (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). K(x \ (y / z),(z / y) \ 1) = ((x * T(x \ (y / z),y / z)) * z) / y. ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). x != (y * (z * T(z \ (y \ u),w))) / u | x = K(((y * z) / u) \ 1,w). K(x \ (y / z),(z / y) \ 1) = K(((x * z) / y) \ 1,y / z). K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). T(K(x,y) * z,T(z,K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). x * (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 * K(z \ y,u)) * (z \ 1) | x = T(y * (z \ 1),u). x * (T(y,y \ x) \ 1) = T(x * (y \ 1),y). 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 != (z * K(u,w)) * (w \ 1) | x \ (z * (T(w,u) \ 1)) = y. (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). x * (y \ 1) = (x * K(y,z)) * (T(y,z) \ 1). (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). x * ((x / y) \ 1) = T(x * ((y \ x) \ 1),y \ x). T(x * ((y \ x) \ 1),y \ x) = x * ((x / y) \ 1). x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. L(K(x,y),y \ 1,z) = K(x,y). K(x,y) != z | L(K(x,y),y \ 1,u) = z. K((x * y) \ 1,x) = K(y \ (x \ 1),x). x != K((y * z) \ 1,y) | x = ((y \ (1 / z)) * y) * z. K(x \ (y \ 1),y) = ((y \ (1 / x)) * y) * x. ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). x != (y * K(z,u)) * (u \ 1) | x = (y * (u \ 1)) * K(z,u). x * (y \ K(z,y)) = (x * (y \ 1)) * K(z,y). (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (((x \ y) \ y) \ 1) * y = T((x \ 1) * y,x). T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). x != T((y \ 1) * z,y) | x = (((y \ 1) * z) \ z) \ z. (((x \ y) \ y) \ 1) * y = (((x \ 1) * y) \ y) \ y. (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). R(x,y \ 1,K(z,y)) = x. x != R(y / z,z,K(y,u)) | x = T(y,u) / (z * K(y,u)). x / (y \ 1) = T(x,y) / ((y \ 1) * K(x,y)). T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). x != R(y,(z \ 1) \ 1,u) | x = R(y,z,u). x = R(x,y,K(z,y \ 1)). R(x,y,K(z,y \ 1)) = x. x * (y * K(z,y \ 1)) = (x * y) * K(z,y \ 1). (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). R(x,y,K(y \ 1,z)) = x. R(x,y \ z,K(u,z \ y)) = x. (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). T(x,y) / (T(y,x) \ 1) = x / (y \ 1). (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. x != (y / (z \ 1)) \ T(y,z) | x = T(y,z) / ((z \ 1) \ y). T(x,y) \ 1 = T(y,x) / ((x \ 1) \ y). T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. (T(x,y) \ 1) \ y = (y \ ((x \ 1) \ y)) * y. (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). (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 / ((y \ ((z \ y) \ y)) * y) | x = z \ T(y,y \ z). T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). T(x \ T(y,y \ x),T(y,y \ x) \ x) = T((x \ y) \ 1,y) \ 1. (x * (y * K(z,y \ 1))) * u != (x * y) * K(z,y \ 1) | 1 = u. 1 = a(x,y,K(z,y \ 1)). a(x,y,K(z,y \ 1)) = 1. a(x,y,K(y \ 1,z)) = 1. a(x,y \ z,K(u,z \ y)) = 1. a(x,y \ 1,K(y,z)) = 1. L(K(x,y),x \ 1,z) = K(x,y). x != L(K(y,z \ 1),u,w) | x = K(y,L(z,u,w) \ 1). K(x,y \ 1) = K(x,L(y,x \ 1,z) \ 1). K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). L(x \ 1,K(x,y),z) = x \ 1. x / (K(y \ (z \ 1),z) * x) = K(z,x / (z / ((y * x) \ 1))). K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). x != y / (K(z,u) * y) | x = K(u,z). K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). x != K(y,z / (y / (u \ 1))) | x = K(y,z / (y * u)). K(x,y \ (x \ 1)) = K(x,z / (x * (y * z))). K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). T(x \ T(y,y \ x),x / y) = T((x \ y) \ 1,y) \ 1. (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 * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. K(x,y * ((z * y) \ z)) = 1. T(x * ((y * x) \ y),z) = x * ((y * x) \ y). T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). x != T(y * L(y \ 1,y,z),z) | x = T(y,z) * ((y * z) \ z). x * ((y * x) \ y) = T(x,y) * ((x * y) \ y). T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). 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) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. (x / L(y,x,y)) * y = T(y * x,y) / y. (T(x * y,x) / x) \ (y * x) = L(x,y,x). (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). x * (y \ 1) != ((L(y,z,u) \ 1) * y) * (1 / y) | x = L(y,z,u) \ y. L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. K(((x * (y * z)) / z) \ 1,y \ 1) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). x != K((y / z) \ 1,u) | x = K(z / y,u). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). x != R(y,z,K(u,1 / u)) | x = y. K(x,1 / x) * (y / z) = y / (z * K(1 / x,x)). x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). x / (1 / (1 / y)) = K(y,1 / y) * (x / y). K(x,1 / x) * (y / x) = y / (1 / (1 / x)). x / (1 / (1 / L(y,z,u))) = K(y,1 / y) * (x / L(y,z,u)). K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). (x / (1 / (1 / y))) * z = (x / y) * (z * K(y,1 / y)). (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). x != ((y * z) / y) * T(((y * z) / y) \ u,w) | x = (y * (z * T(z \ T(u,y),w))) / y. ((x \ y) * x) * K(z,x) = (z * (x * T(x \ T(y * K(z,x),z),x))) / z. (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). ((x \ y) * x) * K(z,x) = (x \ (y * K(z,x))) * x. (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. x * K(T(y,z) \ x,y) = (y \ x) * y. T(x,y) * T(y,z) = (y \ (x * T(y,z))) * y. (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). x * y != (z \ x) * z | y = K(x / z,z). K(T(x,y) \ z,x) = K(z / x,x). K(T(x,y) \ z,x) = K(x \ z,x). K((T(x,y) * z) / x,x) = K(z,x). T(x * K(x \ y,x),z) = y / (y / T(x,z)). x != K((T(y,z) * u) / y,y) | x = K(T(y,z) * (y \ u),y). K(x,y) = K(T(y,z) * (y \ x),y). K(T(x,y) * (x \ z),x) = K(z,x). K(K(x,y) * z,x) = K(z,x). K(K(x,y) * z,y) = K(z,y). K(x,y) = K(K(y,z) \ x,y). K(K(x,y) \ z,x) = K(z,x). K(x * T(y,z),z) = K(x * y,z). K(x \ y,z) = K(x \ T(y,z),z). K(x \ T(y,z),z) = K(x \ y,z). 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(x,K(y,x) * z) = K(z,x). K(x,K(y,x) * z) = K(x,z). K(x,K(y,x) * z) != u | K(x,z) = u. K(x,y) = K(x,K(z,x) \ y). K(x,K(y,x) \ z) = K(x,z). K(x,K(x,y) * z) = K(x,z). K(x,x * y) = K(x,T(x,z) * y). K(x,T(x,y) * z) = K(x,x * z). K(x,T(x,y) \ z) = K(x,x \ z). K(x,R(K(y,x),z,u) * w) = K(x,w). K(x,y * T(z,x)) = K(x,y * z). T(x,K(x,y) * z) = x * K(x,z). K(x,y) = K(x,z \ T(z * y,x)). K(x,y \ T(y * z,x)) = K(x,z). K(x,L(K(x,y),z,u) * w) = K(x,w). K(x * K(y \ z,u),z) = K(x * K(z / y,u),z). K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). K(x \ (y \ z),y) = K(x \ (z / y),y). K(x \ (y / z),z) = K(x \ (z \ y),z). K(x,x \ ((y / x) \ z)) = K(x,x \ ((x \ y) \ z)). T(x,K(x,y) * z) = T(x,z). T(x,K(x,y) * z) != u | T(x,z) = u. x != T(y,L(K(z,y),u,w)) | x = y. T(x,K(x,y) * L(K(z,x),u,w)) = x. T(x,K(y,x) * z) = T(x,z). T(x,y * z) = T(x,T(y,x) * z). T(x,T(y,x) * z) = T(x,y * z). T(x,T(x,y) * z) = T(x,x * z). T(x,(x \ y) * z) = T(x,(y / x) * z). T(x,(y / x) * z) = T(x,(x \ y) * z). T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). x != T(y,T(y,z) * u) | x = L(T(y,u),u,T(y,z)). T(x,x * y) = L(T(x,y),y,T(x,z)). L(T(x,y),y,T(x,z)) = T(x,x * y). K((K(x,y) * z) * u,x) = K(z * u,x). K(K(R(x,y,z),u) * w,x) = K(w,x). K(x \ 1,((x \ 1) \ 1) * y) != z | K(x \ 1,x * y) = z. K(x,K(x,y) * z) != u | K(x,z) = u. K(x,y * x) != z | K(x,x * y) = z. K(x,T(x,y) \ z) != u | K(x,x \ z) = u. K(x,y \ T(z,x)) != u | K(x,y \ z) = u. K(x,K(y,R(x,z,u)) * w) = K(x,w). T(x,T(y,x) \ z) != u | T(x,y \ z) = u. T(x,y * T(z,x)) != u | T(x,y * z) = u. K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). K(x * y,z) = K(T(x,R(z,u,w)) * y,z). K(T(x,R(y,z,u)) * w,y) = K(x * w,y). K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. K(L(x,y,z),y * x) != u | K(x,x * y) = u. K(x,T(y,R(x,z,u))) = K(x,y). K(x,K(R(x,y,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,R(x,y,z) \ u) = K(x,u / R(x,y,z)). K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). T(x,(y / x) \ z) != u | T(x,(x \ y) \ z) = u. x * y != z * T(y,u) | x = z * K(y,u). x \ (y * T(x,z)) = T(y,x) * K(x,z). T(x * K(y,z),y) = T(x,y) * K(y,z). 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,y),K(z,y)) = T(x,T(y,z)). T(T(x,K(y,z)),z) = T(x,T(z,y)). T(T(x,K(y,z)),y) = T(x,T(y,z)). 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 \ y,K(x,z)) = T(y / x,T(x,z)). T(x / y,T(y,z)) = T(y \ x,K(y,z)). T(x,K(y,z)) = T((y * x) / y,T(y,z)). T((x * y) / x,T(x,z)) = T(y,K(x,z)). T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). x * T(y,T(x,z)) = T(y,K(x,z)) * x. T(x,K(y,z)) * y = y * T(x,T(y,z)). T(x,T(y,z)) \ (T(x,y) * (T(T(x,y),K(y,z)) * u)) = T(x,y) * u. T(x,T(y,y \ 1)) != z | z = T(x,y). T(x,T(y,y \ 1)) != z | T(x,y) = z. L(K(T(x,y),K(y,z)) \ u,K(T(x,y),K(y,z)),T(x,y)) = T(x,T(y,z)) \ (T(x,y) * u). T(x,y) = T(T(x,K(z,y)),T(y,z)). T(T(x,K(y,z)),T(z,y)) = T(x,z). T(x,K(y,z)) = T(T(x,z),T(z,y)). T(T(x,y),T(y,z)) = T(x,K(z,y)). x * T(y,T(x,z)) = T(y,K(z,x)) * x. T(x,K(y,z)) * z = z * T(x,T(z,y)). T(x \ 1,y) = T(x \ 1,T(y,x)). T(x \ 1,T(y,x)) = T(x \ 1,y). T(K(x,y),z) = T(K(x,y),T(z,y)). T(K(x,y),T(z,y)) = T(K(x,y),z). L(x,T(y,T(x,z)),x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). T(T(x,y),K(y,z)) != 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 \ z),z / y) = T(x,K(y,y \ z)). K(x,y) * T(z,y) = T(K(x,y) * z,y). T(K(x,y) * z,y) = K(x,y) * T(z,y). x != y * K(z,u) | x = (y / z) * T(z,u). T(x * K(y,z),y) = (T(x,y) / y) * T(y,z). (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). T((x / y) * K(y,z),y) = (y \ x) * K(y,z). K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). x != T(y / z,T(z,u)) | x = z \ T(y,K(z,u)). T(x \ y,K(x,z)) = x \ T(y,K(x,z)). x \ T(y,K(x,z)) = T(x \ y,K(x,z)). x * T(y,K(x,z)) = T(x * y,K(x,z)). T(x * y,K(x,z)) = x * T(y,K(x,z)). x != y * T(z,T(y,u)) | x = T(z * y,K(y,u)). T(x,K(y,z)) * y = T(x * y,K(y,z)). T(x * y,K(y,z)) = T(x,K(y,z)) * y. x != y * T(z,T(y,u)) | x = T(z * y,K(u,y)). T(x,K(y,z)) * z = T(x * z,K(y,z)). T(x * y,K(z,y)) = T(x,K(z,y)) * y. K(x,y) * T(K(x,y) \ z,x) = T(z,x). T(x \ R(x,y,x),y) = K(x,y) * T(K(x * y,x),y). K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). T(x,K(y,y * x)) = x. T(x / y,K(y,x)) = x / y. K(x * y,x) * y = y * K(x * y,x). x \ T(y,K(z,x)) = T(x \ y,K(z,x)). x != y * T(y \ (z \ y),u) | x = K(z \ 1,u) * (z \ y). T(x \ K(y,z),y) = K(x \ 1,y) * (x \ K(y,z)). K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). x * y != K(z,u) * T(K(z,u) \ w,z) | x \ T(w,z) = y. x \ T(x * y,z) = (x \ K(z,u)) * T((x \ K(z,u)) \ y,z). (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). K(x,y) * T(z,x) = T(K(x,y) * z,x). T(K(x,y) * z,x) = K(x,y) * T(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). T(x * K(y,z),z) = T(x,z) * K(y,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 != x * K(z * x,z) | T(K(z * x,z),x) = y. T(K(x * y,x),y) = K(x * y,x). x \ K(x,y) = T(x \ K(x,y),K(z,x)). T(x \ K(x,y),K(z,x)) = x \ K(x,y). x != K(y \ z,y) * T(u,y \ z) | x = (z / y) \ (u * (y \ z)). T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). T(x \ K(x,y),x) = T(x \ K(x,y),T(x,z)). T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). 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). x / (x / T(y,z)) = T((y \ x) \ x,z). T(x / y,z) \ x = x / T(y \ x,z). x / T(y \ x,z) = T(x / y,z) \ x. T(x,y) \ z = z / T((x \ z) \ z,y). x / T((y \ x) \ x,z) = T(y,z) \ x. T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). (T(x,y) \ z) \ z = T((x \ z) \ z,y). x * K(y,x \ z) = T(z / x,y) \ z. T(x / y,z) \ x = y * K(z,y \ x). (T(x / y,z) \ x) \ x = T(y \ x,z). x / T(T(y,y \ x),z) = T(y,z) \ x. (T(x,y) \ z) \ z != u | u = T((x \ z) \ z,y). (T(x,y) \ z) \ z != u | T((x \ z) \ z,y) = u. T((x \ y) \ y,z) \ ((T(x,z) \ y) \ u) = T(x,z) \ ((y / T(x,z)) \ u). x / (y * K(z,y \ x)) = T(x / y,z). x / L(y,y \ x,y) = T(y,x) \ x. ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). (x * y) / (x * K(z,y)) = T((x * y) / x,z). T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). T(x,y \ z) = T(T(x,z / y),K(y,y \ z)). T(T(x,y / z),K(z,z \ y)) = T(x,z \ y). ((1 / ((x * y) \ x)) / y) * T(y,z) = T((1 / ((x * y) \ x)) * K(y,z),y). T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). T(x / T(y,z),y) = (y \ x) * K(y,z). x \ (y * K(x,z)) = (x \ y) * K(x,z). T(x / T(y,z),y) = (y \ x) * K(z,y). x * ((x \ y) * K(x,z)) = y * K(x,z). x * (y * K(x,z)) = (x * y) * K(x,z). (x * y) * K(x,z) = x * (y * K(x,z)). x * ((T(y,z) / x) * K(x,u)) = T(x * (y / x),z) * K(x,u). T(x * (y / x),z) * K(x,u) = x * ((T(y,z) / x) * K(x,u)). K(x,x * y) = K(x,(x \ 1) \ y). K(x,(x \ 1) \ y) = K(x,x * y). 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 * K(x,z))) * u != (x * y) * K(x,z) | 1 = u. 1 = a(x,y,K(x,z)). a(x,y,K(x,z)) = 1. (x * (y * K(x,z))) * x = (x * y) * T(x,z). R(T(x,y),z,K(x,u)) = T(x,y). R(x,y,z) = R(R(x,y,z),u,K(x,w)). R(R(x,y,z),u,K(x,w)) = R(x,y,z). T(x,y) * (z * K(x,u)) = (T(x,y) * z) * K(x,u). (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). L(x,y,z) * (u * K(x,w)) = (L(x,y,z) * u) * K(x,w). (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). R(x,y,K(z,x)) = x. K(x,y) * (z * K(x,u)) = (K(x,y) * z) * K(x,u). (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). R(x,y,x) = R(x,y,T(x,z)). R(x,y,T(x,z)) = R(x,y,x). a(x,y,K(z,x)) = 1. 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). x * (y * K(z,x)) = (x * y) * K(z,x). (x * y) * K(z,x) = x * (y * K(z,x)). T(x,y) * (z * K(u,x)) = (T(x,y) * z) * K(u,x). (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). K(x,y) * (z * K(u,x)) = (K(x,y) * z) * K(u,x). (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). L(K(x,y),z,y) = K(x,y). K(x,(x * y) \ z) = K(x,y \ (x \ z)). L(K(x,y),z,x) = u \ (u * K(x,y)). x != L(K(y,z),u * z,w) | x = K(y,L(z,u,w)). K(x,y) = K(x,L(y,z,x)). K(x,L(y,z,x)) = K(x,y). x != L(K(y,z),u * y,w) | x = K(L(y,u,w),z). K(x,y) = K(L(x,z,x),y). K(L(x,y,x),z) = K(x,z). K(x,(x \ y) \ z) != u | K(x,y \ (x * z)) = u. K((x * y) \ z,x) = K(y \ (x \ z),x). K(x,y) = K(x,L(y,z,y)). K(x,L(y,z,y)) = K(x,y). K(x,y) = K(L(x,z,y),y). K(L(x,y,z),z) = K(x,z). K((x \ y) \ z,x) = K(y \ (x * z),x). K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). L(x,y,z) * K(z,x) = L(x * K(z,x),y,z). L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). L(K(x,y),z * x,u) = K(L(x,z,u),L(y,w,x)). K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). K(x,K(y,L(z,u,x))) = K(x,K(y,z)). K(R(x,y,x),z) = K(x,z). K(x,T(y \ z,z)) = K(x,z / y). K(x,R(y,z,y)) = K(x,y). K(x,T(y / z,y)) = K(x,z \ y). T(x,L(y,z,y)) = x * K(x,y). K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). R(x,y,z) \ R(x * K(u,x),y,z) = K(L(u,w,x),R(x,y,z)). K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). K(x,y) = R(K(x,y),z,x). R(K(x,y),z,x) = K(x,y). T(R(x,y,x),z) = R(x,y,x) * K(x,z). R(x,y,x) * K(x,z) = T(R(x,y,x),z). T(x,y) = x * K(R(x,z,x),y). x * K(R(x,y,x),z) = T(x,z). 1 / K(x,y) = K(y,R(x,z,x)). K(x,R(y,z,y)) = 1 / K(y,x). K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. K(x,y) * (z * x) = (K(x,y) * z) * x. (K(x,y) * z) * x = K(x,y) * (z * x). R(x,y,x) * K(z,x) = R(x * K(z,x),y,x). R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). x != R(K(y,z),z * u,w) | x = K(y,R(z,u,w)). K(x,y) = K(x,R(y,z,x)). K(x,R(y,z,x)) = K(x,y). x != R(K(y,z / (u / w)),z,w) | x = K(y,(z * w) / u). K(x,y / (z / x)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (z / x)). K(x,y) * ((y * z) * x) = (y * (K(x,y) * z)) * x. (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). T(x,R(y,z,x)) = x * K(x,y). K(x,K(y,R(z,u,x))) = K(x,K(y,z)). R(x / y,z,y \ x) = R(x / y,z,x / y). R(x / y,z,x / y) = R(x / y,z,y \ x). R(x \ y,z,y / x) = R(x \ y,z,x \ y). R(T(x,y),z,x) = R(T(x,y),z,T(x,u)). R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). 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. L(x,y,x) * T(z,x) = z * L(x,y,x). T(x,T(y \ z,z)) = T(x,z / y). T(x,R(y,z,y)) = T(x,y). T(x,T(y / z,y)) = T(x,z \ y). T(x,T(y,y * z)) = T(x,T(y,z)). R(x,y,x) \ z = T(z / R(x,y,x),x). T(x / R(y,z,y),y) = R(y,z,y) \ x. T(x / y,R(y,z,y)) = y \ x. R(x,y,x) * T(z,x) = z * R(x,y,x). x * y != z * K(R(z,u,z),w) | x \ T(z,w) = y. R(x,y,x) \ T(x,z) = R((z * x) / z,y,x) \ x. R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). K(x,R(y,z,y)) != u | K(x,y) = u. T(x,R(y,z,x)) = T(x,y). T(x,(y * x) / z) = T(x,y / (z / x)). T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. K(x,T(y,z)) = K(x,z / (z / y)). K(x,y / (y / z)) = K(x,T(z,y)). K(x,T(y / z,y)) = K(z \ y,x). K(x,T(y,z)) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). T(x,T(y,z)) = T(x,z / (z / y)). T(x,y / (y / z)) = T(x,T(z,y)). T(x,T(y,z)) = T(x,(y \ z) \ z). T(x,(y \ z) \ z) = T(x,T(y,z)). T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. x != T(y / z,T(z,u)) | x = T(z \ y,K(z,u)). T(x / y,T(y,y * z)) = T(y \ x,K(y,z)). T(x,T(y,z)) = T(x,T(y,y \ z)). T(x,T(y,y \ z)) = T(x,T(y,z)). K(x,L(y,z,y)) != u | K(x,y) = u. K(x,T(y,y \ z)) = K(x,T(y,z)). K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. K(x,T(y / z,y)) != u | K(x,z \ y) = u. x != K(y,(z \ u) \ u) | x = T(K(y,z),u). K(x,T(y,z)) = T(K(x,y),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). 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(K(y,z \ (u * w)),v5) | x = L(T(K(y,(u \ z) \ w),v5),w,u). K(x,T(y \ (z * u),w)) = L(T(K(x,(z \ y) \ u),w),u,z). L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). x != T(K(y,z),u) | x = K((y \ u) \ u,z). K(x,T(y,z)) = K((x \ z) \ z,y). K((x \ y) \ y,z) = K(x,T(z,y)). x != T(K(y,(z / (y * u)) \ 1),w) | x = R(T(K(y,(z / u) \ y),w),y,u). K(x,T((y / (x * z)) \ 1,u)) = R(T(K(x,(y / z) \ x),u),x,z). R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). x != T(K(y \ 1,z),u) | x = K(T(y,u) \ 1,z). K(x \ 1,T(y,z)) = K(T(x,z) \ 1,y). K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). x != T(K(y,z \ 1),u) | x = K(y,T(z,u) \ 1). K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). x != T(K(y,z),u) | x = K(u,K(z,y)) * K(y,z). K(x,T(y,z)) = K(z,K(y,x)) * K(x,y). K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). x != T(K(y,z),u) | x = K(y,z) * K(u,K(z,y)). K(x,T(y,z)) = K(x,y) * K(z,K(y,x)). K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). K(x \ y,T(z,y)) = K(y / x,z). x != T(K(y / z,u),y) | x = K(z \ y,u). K(x / y,T(z,x)) = K(y \ x,z). x != T(K(y,z),K(y,u)) | x = K(y,z). K(x,T(y,K(x,z))) = K(x,y). K(x,T(y,z)) = K(x,y) * K(z,K(x,y)). K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). x != T(K(y,z),T(T(y,u),w)) | x = K(y,z). K(x,T(y,T(T(x,z),u))) = K(x,y). x != T(K(y,z),y \ 1) | x = K(y,z). K(x,T(y,x \ 1)) = K(x,y). K(x,T(y,z)) = (z * K(x,y)) / z. (x * K(y,z)) / x = K(y,T(z,x)). x * K(y,T(z,u)) = x * T(K(y,z),u). K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). T(K(x,T(y,z)),z) = K(x,y). x * K(y,T(z,x)) = K(y,z) * x. K(x,T(y,z)) * z = z * K(x,y). K(x,y / z) = T(K(x,z \ y),z). T(K(x,y \ z),y) = K(x,z / y). T(K(x,T(y,z)),z) != u | u = K(x,y). T(K(x,T(y,z)),z) != u | K(x,y) = u. x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. T(x,T(y,z)) = x * T(K(x,y),z). x * T(K(x,y),z) = T(x,T(y,z)). K(x,T(y,z)) = T(K(y,x),z). K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). K(x \ y,T(z,y)) != u | K(y / x,z) = u. K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). a(x,K(y,T(z,u)),u) = a(x,K(y,z),T(u,K(y,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,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). K(x,T(y,T(z,x))) = K(x,T(y,z)). K(x \ y,T(z,y \ x)) = K(x \ y,z). x != T(K(y,z),u) | x = K(y,T(z,u)). K(x,y) = K(x,T(T(y,z),z)). K(x,T(T(y,z),z)) = K(x,y). x * K(y,z) != u * x | u = K(y,T(z,x)). x * K(y,z) != u * x | K(y,T(z,x)) = u. T(K(x,y),z) != u | u = K(x,T(y,z)). T(K(x,y),z) != u | K(x,T(y,z)) = u. K(T(x,y),z) = T(K(x,z),y). K(x,T(y,z)) = K(y,T(x,z)). T(K(x,y),z) != u | K(T(x,z),y) = u. T(K(x,y),z) * (z * x) = z * T(x,y). K(x,T(T(y,z),z)) = K(y,x). K(x,T(y \ z,y)) = K(x,z / y). K(x,T(y,z)) = K(x,(z * y) / z). K(x,(y * z) / y) = K(x,T(z,y)). K(x / y,z) = T(K(y \ x,z),y). T(K(x \ y,z),x) = K(y / x,z). K(T(x,y),z) = K(x,T(z,y)). K(T(x,y),z) = K((x \ y) \ y,z). K((x \ y) \ y,z) = K(T(x,y),z). x != T(K(y,T(z,u)),u) | x = K(y,z). K(T(x,y),T(z,y)) = K(x,z). K(T(x,y),y / z) = K(x,z \ y). x != T(K(y,z),K(z,u)) | x = K(y,z). K(T(x,K(y,z)),y) = K(x,y). x * K(T(y,x),z) = K(y,z) * x. K(T(x,y),z) * y = y * K(x,z). K(x,T(K(y,z),u)) = K(x,K(z,T(y,u))). K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). x * K(y,T(z,u)) = x * K(T(y,u),z). x * K(T(y,z),u) = x * K(y,T(u,z)). T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). K(x,T(y,z)) != u | K(T(x,z),y) = u. 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,T(y,z)) * (z * x) = z * T(x,y). a(x,y,K(z,T(y,u))) = 1. (x / y) / K(y,T(z,x)) = T(x,y) / T(T(y,x),z). (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. x * K(y,T(z,u)) != w | x * K(T(y,u),z) = w. x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). R(x,y,K(z,T(x,u))) = x. L(K(x,T(y,z)),y,u) = K(x,T(y,z)). a(x,T(y,z),K(u,y)) = 1. 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))). K(x,y) * (z * K(u,T(x,w))) = (K(x,y) * z) * K(u,T(x,w)). (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). L(K(x,y),T(y,z),u) = K(x,y). K(x,T(T(y,z),z)) != u | K(x,y) = u. 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)) \ 1 = K(y,T(x,z)). x != K(y,T(z,u)) | x = K(y,u / (u / z)). K(T(x,y),z) = K(x,y / (y / z)). K(x,y / (y / z)) = K(T(x,y),z). x != K(y,T(z \ u,u)) | x = K(y,u / z). K(T(x,y),z \ y) = K(x,y / z). 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),w / (y * (z * u))) | x = K(T(y,z * u),w / ((z * T(y,z * u)) * u)). 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)). x != K(T(T(y,z),u),w) | x = T(T(y * K(w,y),z),u) \ T(T(y,z),u). K(T(x,y),T(z,u)) = T(T(x * K(z,x),y),u) \ T(T(x,y),u). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). x != K(T(y,y \ z),u) | x = T(K(y,u),z). K(x,T(y,x \ z)) = T(K(x,y),z). K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). 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(T(x,y),y \ z) = K(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(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). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). K(x,y) = K(x,T(y,R(T(x,z),u,w))). K(x,T(y,R(T(x,z),u,w))) = K(x,y). K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). K(T(x,y),K(y,z)) = K(x,K(y,z)). K(T(x,y \ z),y) = K(x,z / (z / y)). T(x,T(y,z)) = x * K(T(x,z),y). x * K(T(x,y),z) = T(x,T(z,y)). K(x * K(y,x),z) = K(x,T(z,y)). x / K(y,T(x,z)) != u | T(x,T(y,z)) = u. K(x,T(y,z)) != u | K(y,T(x,z)) = u. K(x,T(y,z)) * T(x,z) = T(T(x,y),z). K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. K(x,T(y,z)) \ (y * u) != w | T(y,T(x,z)) * u = w. K(x \ y,T(z,x)) != u | K(y / x,z) = u. x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. (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,y \ 1,K(z,T(y,u))) = x. K(T(x,y),z) = K(x,T(z,K(x,u) * y)). K(x,T(y,K(x,z) * u)) = K(T(x,u),y). K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). K(x \ y,T(z,(y * x) / y)) = K(y / x,z). T(T(x,y),T(z,y)) = T(x,y) * K(x,z). T(x,y) = x * K(T(x,z),T(y,z)). x * K(T(x,y),T(z,y)) = T(x,z). T(T(x,y),T(z,y)) = K(x,z) * T(x,y). x * K(T(x,y),T(z,y)) != u | T(x,z) = u. 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). R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). L(x,T(T(y,z),u),K(w,y)) = x. R(x,T(y,z),K(y,u)) = x. L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). R(x,K(y,z),L(T(z,u),w,v5)) = x. K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). R(x,(y * z) / y,K(z,u)) = x. T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). K(T(x,T(y,z)),z) = K(T(x,y),z). x != L(K(y * z,y),T(y,z),u) | x = (u * T(y,z)) \ (u * R(y,z,y)). K(x * y,x) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). x * 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). R(x,(y * K(z,y)) \ 1,K(u,y)) = x. (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). x != T(y,T(z,u)) | x = T(y,(u * z) / u). T(x,y / (y / z)) = T(x,(y * z) / y). T(x,(y * z) / y) = T(x,y / (y / z)). ((x \ y) \ y) \ z = T(z / ((x \ y) \ y),T(x,y)). T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. x != T(y \ 1,T(z,y)) | x = T(y \ 1,z). T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). K(x,T(y \ z,z)) != u | K(x,z / y) = u. L(K(x,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,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). K(x \ y,z / y) = K(y / x,y \ z). K(x / y,x \ z) = K(y \ x,z / x). K(x \ R(y / z,u,w),z \ y) = K(R(y / z,u,w) / x,z \ y). K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). L(x,y / z,K(z \ y,u)) != w | w = x. R(K(x \ y,z),y,u) = K((y * u) / (x * u),T(z,y)). K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). T(x,T(y,T(T(x,z),u))) = K(x,y) * x. K(x,T(y,z)) != u | T(K(x,y),z) = u. (x * y) / T(T(x,y),z) = K(z,x) * y. (K(x,y) * z) * K(T(y,z),x) = z. x * y != K(z,u) * w | x \ (w * K(z,T(u,w))) = y. x \ (y * K(z,T(x,y))) = T(x,z) \ y. x * y != K(z,(u / x) \ 1) * x | y = K(z,(x \ u) \ 1). K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). K(x,y) * z != z * u | K(x,T(y,z)) = u. x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. x * K(y,x \ z) = K(y,z / x) * x. K(x,y / z) * z = z * K(x,z \ y). K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. T(x,T(y,z)) * (x \ z) = z * K(x,y). x * y != y * K(z,u \ 1) | x = K(z,u \ K(u,y)). K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). x * y != y * K(z,(y \ u) \ 1) | x = K(z,(u / y) \ 1). K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). x * y != y * K(z,(y \ u) \ 1) | x = K(z,y / u). K(x,T((y \ z) \ 1,y)) = K(x,y / z). x * y != K(z,T(u,w)) * w | (w * K(z,u)) / y = x. (x * K(y,z)) / (y \ x) = T(y,T(z,x)). 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. T(K(x,y),z) * (z / y) = (z / y) * K(x,y). K(x * K(y,z),y) = K(x,y). K(x,y * K(x,z)) = K(x,y). T(x,y * K(x,z)) = T(x,y). K(x,y * K(x,z)) != u | K(x,y) = u. K(x * K(y,z),z) = K(x,z). K(x * L(K(y,z),u,w),y) = K(x,y). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y * K(x,w)). K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). K(x * T(y,z),y) = K(x * y,y). K(x * K(y,T(z,u)),z) = K(x,z). K(x,K(y,x * K(y,z))) = 1. K(x,y * K(z,x)) = K(x,y). K(x,y * L(K(x,z),u,w)) = K(x,y). K(x,y / (x \ z)) = K(x,y / (z / x)). K(x,y / (z / x)) = K(x,y / (x \ z)). K(x,T(y,z)) = K(x,T(K(u,x) * y,z)). K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). K(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). (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 * K(z,x)) = T(x,y). T(x,y * L(K(x,z),u,w)) = T(x,y). T(x,y / z) = T(x,y / T(z,x)). T(x,y / T(z,x)) = T(x,y / z). T(x,y * T(x,z)) = T(x,y * x). T(x,y / (x \ z)) = T(x,y / (z / x)). T(x,y / (z / x)) = T(x,y / (x \ z)). x != K(y,z) | x = 1 / K(z,y). K(x * K(y,z),z) = 1 / K(z,x). R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). x != T(y,T(z,u)) | x = T(T(y,z),K(z,u)). 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). K(x,T(y,x \ z)) = K(x,T(y,z / x)). K(x,T(y,z / x)) = K(x,T(y,x \ z)). K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). K(x,T(L(y,z,u),u * z)) = K(x,(u * (z * y)) / (u * z)). K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). K(x,T(L(y \ z,y,u),u * y)) = K(x,(u * z) / (u * y)). K(x,L(y / z,z,u)) = K(x,T((u * z) \ (u * y),z)). K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y / z)). K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). x != K(y / z,u) | x = K((z / y) \ 1,u). T(K(x \ y,z),x) = K((x / y) \ 1,z). x != T(K(y,z),z * u) | x = K(y,T(z,u)). K(x / (y * z),y) = K((y * z) \ x,T(y,z)). K((x * y) \ z,T(x,y)) = K(z / (x * y),x). K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. K(((x \ y) * (y \ z)) \ z,u) = K(T(R(x,x \ y,y \ z),z),u). K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). K(K(x,y) * z,u) = K(T(z * K(x,y),z),u). K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). L(K(T(x,y),z),y,u) = K((u * (x \ y)) \ (u * y),z). K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). T(T(x,y),y / z) = K(x,z \ y) * T(x,y). K(x,y \ z) * T(x,z) = T(T(x,z),z / y). K(x * K(y,z \ u),u / z) = K(x,u / z). (K(x,y) * z) * K(y,T(x,z)) = z. x != K(y,z) * u | x = K(z,y) \ u. x * K(T(y,x),z) = K(z,y) \ x. (K(x,y) * z) \ z = K(y,T(x,z)). (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). K(x,T(y,z)) * (z * K(y,x)) = z. K(T(x,y),z) * y != y * u | K(x,z) = u. K(x,y * K(z,x)) != u | K(x,y) = u. K(x,y * K(z,R(x,u,w))) = K(x,y). K((x \ y) \ 1,T(z,y)) = K(x / y,z). K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). K(x \ y,L(x,z,u)) = K(y / x,L(x,z,u)). K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). (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,T(y,x \ z)) = K(x,T(y,z)). K(x,T(y,z)) = T(K(x,y),x * z). T(K(x,y),x * z) = K(x,T(y,z)). x != K((y \ z) / z,u) | x = K(y \ 1,u). K(x \ (y \ x),z) = K(y \ 1,T(z,x)). T(x / y,T(z,y)) = K(y \ x,z) * (x / y). K(x \ y,z) * (y / x) = T(y / x,T(z,x)). K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). K(x \ T(x * y,y),z) = K(y,T(z,x * y)). ((x * y) / x) * K(y,T(z,x)) != u | T((x * y) / x,z) = u. L(K(x,T(y \ z,u)),y \ z,w) = K((u * x) / u,(z \ y) \ 1). x != K(y,(z * u) / z) | x = ((z * ((y * u) / y)) / z) / ((z * u) / z). K(T(x,y),z) = ((y * ((x * z) / x)) / y) / ((y * z) / y). ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). T(T(x,y),K(y,z)) = T(x,y) * K(x,K(y,z)). T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). x != T(y,T(R(z,u,w),v5)) | x = T(y,R((v5 * z) / v5,u,w)). x * K(T(x,y),R(z,u,w)) = T(x,R((y * z) / y,u,w)). T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). K(x * K(y,x),z) = K(x,T(z,L(y,u,x))). K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). 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). x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. x != K(y * z,z) | x = K(z * y,z). K(x * T(y,z),y) = K(y * x,y). K(x * T(y,z),y) = K(T(y,z) * x,y). K(T(x,y) * z,x) = K(z * T(x,y),x). K(T(x,T(y,z)) * u,y) = K(x * u,y). x != T(y,(y \ z) * y) | x = T(y,z). T(x,(x \ y) * T(x,z)) = T(x,y). K(x * K(y,z),z) != u | K(x,z) = u. (K(x,y) \ z) \ z = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,x * z)). K(x,T(y,x * z)) = K(x,T(y,z)). K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). T(x,T(y,x \ z)) = x * K(x,T(y,z)). R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). K(x,y) = K(y * (x / T(y,z)),y). K(x * (y / T(x,z)),x) = K(y,x). T(x,y) = T(x,x * (y / T(x,z))). T(x,x * (y / T(x,z))) = T(x,y). K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). K(x,(x * y) \ z) = K(x,T(z / (x * y),y)). K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). 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). ((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). L(K(x,y),z,x) != u | u = K(x,y). L(K(x,y),z,x) != u | K(x,y) = u. K(L(x,y,x),z) != u | K(x,z) = u. K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). T(K(x,T(y,z)),u) != w | K(x,T(T(y,u),z)) = w. K(T(x,y),T(z,y)) != u | K(x,z) = u. K(x / y,T(z,y)) != u | K(y \ x,z) = u. K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. K(T(x,y),z) != u | K(x,T(z,y)) = u. K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. K(T(x,x \ y),z) != u | K(T(x,y),z) = u. K(x,((y * z) * u) / (y * u)) != w | K(T(x,y),R(z,y,u)) = w. K(x,y / (y / z)) != u | K(T(x,y),z) = u. K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). K(x,T(y \ z,y)) != u | K(x,z / y) = u. K((x * y) / x,T(z,x)) != u | K(y,z) = u. K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. R(x,y \ K(y,z),K(u,y)) = x. x != R(y / (z \ K(z,u)),z \ K(z,u),K(u,z)) | x = (y * K(u,z)) / (z \ 1). x / (y \ K(y,z)) = (x * K(z,y)) / (y \ 1). (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). L(K(x,y),y,z) != u | K(x,y) = u. K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. K(x * (y * K(z,u)),z) = K(x * y,z). K(x * K(L(y,z,u),w),y) = K(x,y). K(x,y * z) = K(x,y * (z * K(u,x))). K(x,y * (z * K(u,x))) = K(x,y * z). T(x,y * (z * K(x,u))) = T(x,y * z). T(x,y * K(L(x,z,u),w)) = T(x,y). K(x,y / (z / x)) != u | K(x,y / (x \ z)) = u. K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). K(x \ T(y,z),z) != u | K(x \ y,z) = u. K(x * y,x) != z | K(y * x,x) = z. K(K(x,y) \ z,x) != u | K(z,x) = 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),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. K(T(x,y),y \ z) != u | K(x,z / y) = u. K(T(x,y),z / y) != u | K(x,y \ z) = u. K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. K((x * y) / x,z) != u | K(y,T(z,x)) = u. K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. K(x,y / (y / z)) != u | K(x,T(z,y)) = u. K(K(L(x,y,z),u) * w,x) = K(w,x). T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). K((x \ 1) \ y,y) != z | K(x * y,y) = z. K(K(x,y) * z,x) != u | K(z,x) = u. 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). x != K(y,(y \ z) \ u) | x = K(y,z \ (u * y)). K(x,y \ (x * z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,y \ (x * z)). x != K(y,(y * z) \ u) | x = K(y,(z * y) \ u). K(x,y \ (x \ z)) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,y \ (x \ z)). x != K(y,(y * z) \ u) | x = (((y \ (u / z)) * y) * z) \ u. K(x,y \ (x \ z)) = (((x \ (z / y)) * x) * y) \ z. (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). K(x,L(y,x \ 1,x) \ z) = K(x,((x \ 1) * y) \ (x \ z)). K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). 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). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). x != K((y * z) \ u,y) | x = K((z * y) \ u,y). K(x \ (y \ z),y) = K((x * y) \ z,y). K((x * y) \ z,y) = K(x \ (y \ z),y). x != K((y * z) \ u,y) | x = K((y / (z \ 1)) \ u,y). K(x \ (y \ z),y) = K((y / (x \ 1)) \ z,y). K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). K(x \ y,z) = K((z \ x) \ (z \ y),z). K((x \ y) \ (x \ z),x) = K(y \ z,x). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). R(x,y,x) * K(x,z) = R(T(x,z),y,x). L(x,y,K(x,z)) = x. x != K(y,z) * (u * y) | x = T(y,z) * T(u,y). (K(x,y) * z) * x = T(x,y) * T(z,x). L(x \ 1,x,K(x,y) * z) = (K(x,y) * (z * x)) \ (K(x,y) * z). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). T(K(x,y) * z,y) * x = K(x,y) * (T(z,y) * x). L(x,y,z) = L(L(x,y,z),u,K(x,w)). L(L(x,y,z),u,K(x,w)) = L(x,y,z). (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). L(x,y,K(z,x)) = x. L(x,y,R(K(x,z),u,w)) = x. K(x,y) = L(K(x,y),z,K(x,u)). L(K(x,y),z,K(x,u)) = K(x,y). K(x,y) = L(K(x,y),z,K(y,u)). L(K(x,y),z,K(y,u)) = K(x,y). 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) * z) * y = K(x,y) * (z * y). K(x,y) = L(K(x,y),z,K(u,x)). L(K(x,y),z,K(u,x)) = K(x,y). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). L(x,y,K(R(x,z,u),w)) = x. (K(R(x,y,z),u) * (w * x)) / (w * x) = R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))). R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). K(x,y) = K(x,L(y,z,K(x,u))). K(x,L(y,z,K(x,u))) = K(x,y). x != L(K((K(y,z) * u) \ w,v5),w,K(z,y)) | x = K(u \ (K(z,y) * w),v5). K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). K(x,y) = K(x,L(y,z,K(u,x))). K(x,L(y,z,K(u,x))) = K(x,y). K(x,y) = K(L(x,z,K(u,y)),y). K(L(x,y,K(z,u)),u) = K(x,u). (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). 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)). T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. L(x,y,K(z,x)) != u | u = x. L(x,y,x) = L(x,y,T(x,z)). L(x,y,T(x,z)) = L(x,y,x). L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). x != R(T(y,z),y \ z,y) | x = (y \ z) \ z. R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). K(x,R(T(y,z),u,y)) = K(x,T(y,z)). 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 * y != L(z,u,z) * T(w,z) | x \ (w * L(z,u,z)) = y. T(x,y) \ (x * L(y,z,y)) = L(T(y,x),z,y). x * (R(x,y,x) \ z) = (z / R(x,y,x)) * x. (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). K(x * (R(y,z,y) \ u),y) = K(x * (u / R(y,z,y)),y). K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). 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 / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). K(x,y) * (z * x) = z * T(x,T(y,z)). K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). x * y != K(z,T(u,w)) * (w * z) | (w * T(z,u)) / y = x. (x * T(y,z)) / T(x,y) = T(y,T(z,x)). T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). x != K(T(y,z),u) | x = K(y,T(u,z)). K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). x != T(y,z) * K(y,u) | x = K(y,z) * T(y,u). T(T(x,y),T(z,y)) = K(x,y) * T(x,z). K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). K(x * y,T(x,z)) = K(T(x,u) * y,T(x,z)). K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). ((x * y) / x) \ (z * y) = T((z / (y * K(x,y))) * y,x / (x / y)). T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). K(x,T(y,z \ u)) = K(x,T(y,(u \ z) \ y)). K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). K(x / y,x \ z) = K(z / x,y \ x). K(x / y,z \ y) = K(y / z,y \ x). x != K(y,z) * y | x = T(y,z). T(x,T(y,T(T(x,z),u))) = T(x,y). T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). K(x,y \ 1) * (y * z) = (y * z) * K(x,(y * z) \ z). (x * y) * K(z,(x * y) \ y) = K(z,x \ 1) * (x * y). K(x,y \ 1) * z = z * K(x,z \ (y \ z)). x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. (x * K(y,z)) / (y \ x) != u | u = T(y,T(z,x)). (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). (x * (K(y,z) * K(x,u))) * K(z,y) != w | w = T(x,T(u,K(y,z))). (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. x != K(y,z / (u / y)) | x = K(y,(z * y) / u). K(x,y / (x \ z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (x \ z)). K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). x != T(y,z / (u / y)) | x = T(y,(z * y) / u). T(x,y / (x \ z)) = T(x,(y * x) / z). T(x,(y * x) / z) = T(x,y / (x \ z)). T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). x != K(y,T(z,y \ u)) | x = K(y,T(z,u)). K(x,T(y,z / x)) = K(x,T(y,z)). x != K(y,T(z,y \ u)) | x = T(K(y,z),u). K(x,T(y,z / x)) = T(K(x,y),z). K(x \ y,T(z,x * K(y,x))) = K(x \ y,T(z,(x \ y) \ T(y,x))). K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). K(x,T(y,z)) = K(x,T(y,z * x)). K(x,T(y,z * x)) = K(x,T(y,z)). K(a(x,y,z),T(u,x * (y * z))) = K(a(x,y,z),T(u,(x * y) * z)). K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). K(x,T(y,z)) = T(K(x,y),z * x). T(K(x,y),z * x) = K(x,T(y,z)). x * T(K(x,y),z) != u | T(x,T(y,z / x)) = u. x != K(y,z) | x = K(L(y,u,y),z). K(x,T(y,z * x)) = K(L(x,u,x),T(y,z)). K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). x != K(y,T(z,u)) | x = T(K(y,z),y * u). T(K(x,y),z * x) = T(K(x,y),x * z). x != K(y,T(z,u)) | x = T(K(y,z),u). T(K(x,y),z * x) = T(K(x,y),z). T(K(x,y),z * x) != u | K(x,T(y,z)) = u. T(K(T(x,y),z),y) = K((y / (x * y)) \ 1,z). K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). R(x,y \ z,K(y / z,u)) = x. x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). x != K(y \ 1,T(z,u)) | x = K(T(y,u) \ 1,z). K(x \ (y \ x),z) = K(T(y,x) \ 1,z). K(T(x,y) \ 1,z) = K(y \ (x \ y),z). T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). T(x,T(y,x \ z)) = T(x,T(y,z)). T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. T(x,T(y,x \ y)) = T(x,y). T(x,(x \ y) \ z) = T(x,T(z / (x \ y),y)). T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). T(x,T(x * y,y)) = T(x,x * y). K(x * (y / z),u) = K(x * (y / T(z,u)),u). K(x * (y / T(z,u)),u) = K(x * (y / z),u). K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). K(x * (K(y,z) * u),y) = K(x * u,y). K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). K(x / y,z * (y * (x / y))) = K(x / y,z * x). T(x,y * (x * z)) = T(x,y * (z * x)). T(x,y * (z * x)) = T(x,y * (x * z)). K(x,y \ ((x \ z) * x)) = K(x,y \ z). x != K(y,(z * y) \ 1) | x = z * (y * ((z \ 1) / y)). K(x,y \ (x \ 1)) = y * (x * ((y \ 1) / x)). x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). K(x,L(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(x \ y,x,z)) = K(x,z \ (x \ (z * y))). K(x,L(T(y,x),x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). 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). (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). K(K(x,y),z) * (K(x,y) * T(u * K(y,x),w)) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). (x * T(y,z)) / T(x,y) = T(y,T(z * K(y,u),x)). T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). K(x,T(y,z * K(x,u))) = K(x,T(y,z)). x * y != T(z,T(T(u,w),w)) | x \ T(z,u) = y. K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). T(T(x,y),K(z,u)) = K(x,y) * T(x,K(z,T(u,y))). K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). K(x,T(y * K(x,z),u)) = K(x,T(y,u)). K((x * y) \ y,z) = K(y \ (x \ y),z). K(x * (y \ z),u) = K(x * (y \ T(z,u)),u). K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). L(x,y,z) / L(x * K(u * w,x),y,z) = K(L(x,y,z),u * (K(x,v5) * w)). K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). R(x,y,z) \ R(x * K(u * w,x),y,z) = K(u * (K(x,v5) * w),R(x,y,z)). K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). x != L(y,z,T(u,z)) | x = L(y,T(z,u),u). L(T(x,y),z,x) = L(T(x,y),T(z,x),x). L(T(x,y),T(z,x),x) = L(T(x,y),z,x). K(x,T(y,K(z,x) * u)) = T(K(x,y),u). K(x,T(y,z * u)) = K(x,T(y,(z * K(w,x)) * u)). K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). K(x,T(T(y,z),u)) = K(x,T(T(K(w,x) * y,z),u)). K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). T(x,(y * z) \ z) = 1 / (x \ K(z \ (y \ z),x)). 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). T(K(x,y),K(z,x) * u) = T(K(x,y),u). T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(T(x,y),z,u)) = v5. T(x,K(y,x \ z)) != u | T(x,K(y,z / x)) = u. T(x,T(y,z) \ T(x,z)) != u | T(x,T(y \ x,z)) = u. T(x,T(T(y,z),z)) != u | T(x,y) = u. T(x,T(y \ z,y)) != u | T(x,z / y) = u. T(K(x,y),T(z,y)) != u | T(K(x,y),z) = u. K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. T(K(x,y),y * z) != u | K(x,T(y,z)) = u. x != K(y * K(z,y),u) | x = K(y,T(u,z)). K(x,T(y,L(z,u,x))) = K(x,T(y,z)). K(x,T(y,z \ (x * u))) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. K(T(x,y \ z),y) != u | K(T(x,z),y) = u. K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. K(x \ (x * y),z) != u | K(y,z) = u. K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. K(T(x,y),(y * K(z,x)) \ u) != w | K(x,u / (y * K(z,x))) = w. K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. x != (K(y,z) / z) \ 1 | x = T(z,y). T(x,L(y,z,K(u,x))) = T(x,y). T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. T(K(x,y),x * z) != u | K(x,T(y,z)) = u. T(K(x,y \ z),T(y,z)) != u | T(K(x,y \ z),y) = u. T(K(x,y),z * y) != u | K(x,T(y,z)) = u. K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. K(x,y / (x * z)) != u | K(x,T((x * z) \ y,z)) = u. T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. x != T((y * (z * K(u,z))) / y,u) | x = (y * z) / y. (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). x != y * K(z,z \ u) | x = (y / (z \ u)) * (u / z). R((x \ y) * K(x,x \ y),z,x \ y) = (R(x \ y,z,x \ y) / (x \ y)) * (y / x). (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). x != R(y,z,u) * K(w,y) | x = K(w,y) * R(y,z,u). R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). x * T(x \ y,K(x,z)) = T(y,K(x,x * z)). K(x,T(T(y / z,y),u)) = K(x,T(z \ y,u)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,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). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). 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(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). K(x \ y,T(z,x * K(y,x))) = K(y / x,z). (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). x != (y / z) * K(u,z) | x = y / T(z,u). T(K(x,y),z) * (z / y) = z / T(y,x). K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). K(x,T(y,z)) * (z / y) = z / T(y,x). T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). K(x * T(y,z \ u),u / z) = K(x * y,u / z). x != K(y \ z,T(u,z \ y)) | x = K(y \ z,u). K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). x != T(T(y,z),K(z,u)) | x = y * T(K(y,z),u). T(x,y) * K(x,K(y,z)) = x * T(K(x,y),z). K(x,y) * (x * z) != (x * z) * u | K(x,T(y,z)) = u. (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). x != K(y,(y * z) / u) | x = K(y,(u / z) \ y). K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). x != K(y,(y * z) \ u) | x = K(y,z \ (y \ u)). K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). T(x,y) / (y \ 1) = x / (y \ K(y,x)). (T(x,y) / (y \ 1)) \ x = y \ K(y,x). (x \ K(x,y)) \ y = (x \ 1) \ T(y,x). (x \ K(x,y / x)) \ (y / x) = (x \ 1) \ (x \ y). K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). K(x \ (y \ 1),x) = K(y \ (x \ 1),x). K(x \ (y \ 1),y) = K(y \ (x \ 1),y). x != K((y \ z) \ (y \ u),y) | x = K(z \ u,y). K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). K(x,y) * L(x,z,x) = L(T(x,y),z,x). L(x,y,x) * K(x,z) = L(T(x,z),y,x). x * y != K(z,u) * L(z,w,z) | x \ L(T(z,u),w,z) = y. x \ L(T(x,y),z,x) = K(x,y) * (x \ L(x,z,x)). K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). 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. K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). x != K(y,z \ 1) * u | x = (z * u) * ((y * ((z * u) \ u)) / y). x * K(y,x \ (z \ x)) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,y \ (x \ y)). x * y != K(z,u) * x | y = K(z,T(u,x)). K(x,y \ (z \ y)) = K(x,T(z \ 1,y)). K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). K(x,T((y / z) \ 1,y)) = K(x,y \ 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)). T(x * y,T(y,x)) != z | T(x * y,y) = z. L(x * K(y,z),K(z,y),x * K(y,z)) != u | T(K(y,z) * x,x) = u. K(x * ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). 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). (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). x * y != T(x,z) * T(u,x) | T(T(x,z) * (x \ u),x) = y. T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). T(x,y \ ((x \ z) * x)) = T(x,y \ z). T(x,y \ (z * x)) = T(x,y \ (x * z)). L(T(x,y \ z),u,w) \ L(x,u,w) = K(y \ ((x \ z) * x),L(x,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). x * T(y,K(x,z)) = T(x * y,K(x,x * z)). T(x * y,K(x,x * z)) = x * T(y,K(x,z)). K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). x != K(y \ z,T(u,y)) | x = K(z / y,u). K(x / y,T(z,x \ y)) = K(x / y,z). K(x,y) * K(x,K(y,z)) = T(K(x,y),z). K(x,K(y,z)) * K(x,y) = T(K(x,y),z). K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(x,y) * z != T(K(x,y),R(x,u,w)) | 1 = z. 1 = K(x,K(y,R(x,z,u))). K(x,K(y,R(x,z,u))) = 1. K(x,y) * z != T(K(x,y),u) | z = K(u,K(y,x)). K(x,K(y,z)) = K(z,K(y,x)). x * y != T(x,z) | y = K(z,x). K(x,K(y,z)) = K(z,K(x,y)). K(x,K(y,z)) = K(K(x,y),z). K(K(x,y),z) = K(x,K(y,z)). K(x,y) * K(x,K(y,z)) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. T(x,K(y,R(x,z,u))) = x. T(x,y) = T(T(x,y),K(z,R(x,u,w))). T(T(x,y),K(z,R(x,u,w))) = T(x,y). K(K(x,y),z) = K(y,K(x,z)). (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). T(K(x,y),z) = K(y,K(x,z)) \ K(x,y). K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). T(x,K(y,z)) = x * K(z,K(y,x)). x * K(y,K(z,x)) = T(x,K(z,y)). K(x,K(y,z)) * z = T(z,K(x,y)). x * K(y,K(z,x)) = T(x,K(y,z)). K(x,K(y,z)) != u | K(z,K(x,y)) = u. K(x,K(y,z)) != u | K(K(x,y),z) = u. K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). K(x,K(y,z)) = K(y,K(x,z)). K(K(x,y),z) = K(y,K(z,x)). x != K(y,K(z,u)) | x = K(z,u) * K(u,T(z,y)). K(x,K(y,z)) = K(x,y) * K(y,T(x,z)). K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). T(K(x,y),z) = K(x,y) * K(y,K(z,x)). K(x,y) * K(y,K(z,x)) = T(K(x,y),z). K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. K(x,K(y,z)) * y = T(y,K(x,z)). x * K(y,K(x,z)) = T(x,K(y,z)). K(x,K(y,z)) != u | K(y,K(x,z)) = u. K(x,K(y,z)) != u | K(z,K(y,x)) = u. K(x,K(y,z)) * K(x,z) = T(K(x,z),y). K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). x != K(R(y \ 1,z,u) \ 1,w) | x = R(K(y,w),z,u). K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). x != K(y,R(z,u,w) \ 1) | x = R(K(y,z \ 1),u,w). K(x,K(y,R(z,u,w) \ 1)) = R(K(K(x,y),z \ 1),u,w). R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). x * y != K(K(z,u),w) | K(z,K(u,w)) / y = x. K(x,K(y,z)) / z = 1 / T(z,K(x,y)). K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. K(K(x,y),z) = K(K(y,u) * x,K(y,z)). K(K(x,y) * z,K(x,u)) = K(K(z,x),u). (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). 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(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)) != u | K(y,K(z,x)) = u. (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. K(x,K(y,z)) = K(y,K(x,K(y,u) * z)). K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). K(x,K(y,z)) = K(y,K(x,L(z,u,K(y,w)))). K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). x != T(y,K(z,u)) | x = (1 / K(z,u)) * (y / (K(z,u) \ 1)). K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). T(x,y * T(z,K(x,u))) = T(x,y * z). K(x,K(y,z)) * K(x,y) = T(K(x,y),T(z,K(y,u))). T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). K(x,K(y,z)) * K(x,y) != u | K(x,T(y,z)) = u. K(x,y) * K(x,T(y,z)) = K(x,K(y,z)). K(x,y) * z != K(x,T(y,R(T(x,u),w,v5))) | 1 = z. 1 = K(x,K(y,R(T(x,z),u,w))). K(x,K(y,R(T(x,z),u,w))) = 1. K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. K(x,y) * K(x,T(y,z)) != u | u = K(x,K(y,z)). K(x,y) * K(x,T(y,z)) != u | K(x,K(y,z)) = u. K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). K(x,T(y,z)) * K(x,y) = K(x,K(y,z)). K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). x != T(K(y,z \ u),z) | x = K(y,u / z). K(x,K(y,y \ z)) * K(x,y \ z) = K(x,z / y). K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). x != K(K(y,z),u) | x = K(y,K(z,u)). K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). x != K(y,K(z,u)) | x = K(z,K(y,u)). K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). x != K(y,K(z,u)) | x = K(y,K(u,z)). K(x,T(y,z)) * K(x,y) = K(x,K(z,y)). K(x,K(y,z)) * K(y,x) != u | u = K(y,T(x,z)). K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). R(x,K(y,z) * u,K(u,K(y,w))) = x. R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). K(x,K(y,(x \ z) \ u)) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). K(x,K(y,z)) = K(x,K(y,z * K(u,x))). K(x,K(y,z * K(u,x))) = K(x,K(y,z)). K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). x * K(y,T((z / u) \ y,x)) = K(y,T(z \ (y * u),u)) * x. K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). x != K((((y \ 1) \ 1) \ z) \ u,w) | x = K((y \ z) \ u,w). K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). x * y != T(x * z,K(x,u)) | y = T(z,K(x,u)). T(x,K(y,z)) = T(x,K(y,y * z)). T(x,K(y,y * z)) = T(x,K(y,z)). x != T(y,K(z,u)) | x = T(y,K(u,z)). T(x,K(y,y * z)) = T(x,K(z,y)). x != T(y,K(z,T(y,u))) | x = y. T(x,K(y,y * T(x,z))) = x. T(x,K(y,z)) = T(x,K(y,y \ z)). T(x,K(y,y \ z)) = T(x,K(y,z)). T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). T(x,K(y,z * y)) = T(x,K(z,y)). T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). x != T(y,z) | x = y * K(y,z). T(x,K(y,y \ z)) = x * K(x,K(y,z)). x != T(y,K(z,z \ u)) | x = T(T(y,z \ u),u / z). T(x,K(y,z)) = T(T(x,y \ z),z / y). T(T(x,y \ z),z / y) = T(x,K(y,z)). K(x,K(y,y \ z)) = K(x,K(y,z)). T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. 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,z * y)). K(x,K(y,z * y)) = K(x,K(y,z)). K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). K(x,K(y \ z,y)) = K(x,K(z / y,z)). K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). K(x,K(y,z)) * y = T(y,K(x,y * z)). T(x,K(y,x * z)) = K(y,K(x,z)) * x. K(x * y,K(y,z)) = K(z,K(y,x)). K(x,K(y,z * y)) = K(y,K(x,z)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. x != K(y,K(z,u)) | x = K(u,K(z,y)). K(x * y,K(y,z)) = K(x,K(y,z)). T(T(x,K(y,z)),z / y) = T(x,y \ z). T(T(x,K(y,z)),z / y) != u | u = T(x,y \ z). T(T(x,K(y,z)),z / y) != u | T(x,y \ z) = u. K(x,K(y,y \ z)) = K(x,K(z / y,z)). K(x,K(y / z,y)) = K(x,K(z,z \ y)). x != K(y,K(z,u)) * z | x = T(z,K(y,u)). T(x,K(y,x * z)) = T(x,K(y,z)). T(x,K(y,x * z)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(y,x \ z)). T(x,K(y,x \ z)) = T(x,K(y,z)). 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)). 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 * K(u,y \ 1))),(z / y) * K(u,y \ 1)) = T(x,y \ (z * K(u,y \ 1))). x != K(y,K(z,z \ u)) | x = K(y,K(z,u)). K(x,K(y / z,y)) = K(x,K(z,y)). x != K(y,K(z,u)) | x = K(u,K(y,z)). K(x,K(y / z,y)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(y \ z,z)). K(x,K(y \ z,z)) = K(x,K(y,z)). K(x,K(y,z \ y)) = K(x,K(z,y)). K(x,K(x / y,z)) = K(x,K(z,y)). K(x,K(y \ z,z)) = K(z,K(x,y)). x != K(y,K(z,u \ z)) | x = K(y,K(z,u \ 1)). K(x,K(y,z)) = K(x,K(z,y \ 1)). K(x,K(y,z \ 1)) = K(x,K(z,y)). K(x,K(x / y,z)) = K(x,K(y,z)). K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. K(x \ 1,K(y,z)) = K(y,K(x,z)). K(x,K(y \ 1,z)) = K(x,K(y,z)). K(x,K(y,z \ 1)) = K(z,K(x,y)). K(x,K(y,z \ 1)) = K(x,K(y,z)). K(x,K(y,1 / z)) = K(x,K(z,y)). K(x,K(y,z \ 1)) != 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)) = K(x,K(u,z \ y)). K(x / y,K(x,z)) = K(x,K(y,z)). K(x,K(y,z)) = K(y,K(x \ 1,z)). K(x,K(y \ 1,z)) = K(y,K(x,z)). K(x \ 1,K(y,z)) = K(x,K(y,z)). K(x \ 1,K(y,z)) = K(y,K(z,x)). K(x,K(y \ 1,z)) = K(z,K(x,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)). 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(x,K(y,1 / z)). K(x,K(y,1 / z)) = K(x,K(y,z)). T(x,K(y,z \ 1)) = x * K(x,K(y,z)). K(x,K(y,z / u)) = K(x,K(y,u / z)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). K(x,K(y,z)) * K(x,y) = K(x,T(y,z \ 1)). K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. x != K(L(y,z,u) \ 1,w) | x = L(K(y \ 1,w),z,u). K(x,K(y,L(z,u,w))) = L(K(z \ 1,K(x,y)),u,w). L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). x * y != K(z \ 1,K(u,w)) | K(u,K(w,z)) / y = x. K(x,K(y,z)) / z = T(1 / z,K(x,y)). T(1 / x,K(y,z)) = K(y,K(z,x)) / x. 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)). x != K(1 / ((1 / y) / z),u) | x = (T(z * y,u) / y) / z. K(x,K(y,(1 / z) / u)) = (T(u * z,K(x,y)) / z) / u. (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. K(x,K(y,1 / z)) != u | K(x,K(z,y)) = u. T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. K(x,K(y * z,(y \ u) \ z)) = K(x,K(u \ (y * z),z \ (y \ 1))). K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). T(x,K(y,z \ 1)) = T(x,K(y,z)). x != y * K(y,K(z,u)) | x = T(y,K(u,z)). T(x,K(y,z \ 1)) = T(x,K(z,y)). T(x,K(y \ 1,z)) = T(x,K(z,y)). K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). T(x,K(y \ z,u)) = T(x,K(u,z \ y)). T(x,K(y,x \ z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. T(x,K(y \ 1,z)) = T(x,K(y,z)). T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. x != K(y,K(z,u)) / u | x = 1 / T(u,K(y,z)). T(1 / x,K(y,z)) = 1 / T(x,K(y,z)). 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). x != T(y,K(z,z \ u)) | x = T(y,K(z,u)). T(x,K(y \ z,z)) = T(x,K(z,y)). T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. T(x,K(y,z)) = T(x,K(z,z / y)). T(x,K(y,y / z)) = T(x,K(z,y)). 1 / (K(x,y) * z) = T(1 / (z * K(x,y)),K(y,x)). T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). T(x,K(y,z)) != u | T(x,K(y,y * z)) = u. T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. K(x,K(y,z)) = K(z,K(x,z * y)). K(x,K(y,x * z)) = K(y,K(z,x)). K(x,K(y,x * z)) = K(x,K(z,y)). K(x,K(x * y,z)) = K(x,K(y,z)). K(x,K(x * y,z)) = K(y,K(x,z)). K(x,K(y,z)) = K(x \ y,K(x,z)). K(x \ y,K(x,z)) = K(x,K(y,z)). x != K(y,K(z,T(u,w))) | x = K(u,K(y,T(z,w))). 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))). K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. x * K(y,T(x,z)) = T(x,K(y,z)) * K(y,x). T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. R(x,T(K(y,z),u),u) = 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). K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). x != T(T(y,K(z,u)),z) | x = T(y,T(z,u)). 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(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). x != K(y,z) * K(y,K(z,u)) | x = K(y,T(z,u)). T(K(x,y),z \ 1) = K(x,T(y,z)). K(x,T(y,z \ 1)) = K(x,T(y,z)). x * K(x,T(y,z)) = T(x,T(y,z \ 1)). T(x,T(y,z \ 1)) = x * K(x,T(y,z)). T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. x != K(y,T(z,u \ 1)) | x = K(y,T(z,u \ y)). K(x,T(y,z)) = K(x,T(y,z \ x)). K(x,T(y,z \ x)) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,1 / z)). K(x,T(y,1 / z)) = K(x,T(y,z)). K(x * y,T(z,y)) = K(x * y,T(z,x)). K(x,T(y,z)) * (z \ x) = (z \ x) * K(x,y). T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. K(x * L(y,z,u),y) = K(x * L(y,z,u),T(y,x)). K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). K(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,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). K(K(x,y) * z,x) = K(L(z,K(x,y),u),x). K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). x != K(K(y,z) * u,y) | x = K(u,y). K(L(x,K(y,z),u),y) = K(x,y). K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). K(x,y \ (x * z)) != u | K(x,(y / x) \ z) = u. K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. 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(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. K(x * K(y,z),z) = K(R(x,K(y,z),u),z). K(R(x,K(y,z),u),z) = K(x * K(y,z),z). x != K(y * K(z,u),u) | x = K(y,u). K(R(x,K(y,z),u),z) = K(x,z). K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). K(x,y * K(z,x)) = K(x,R(y,K(z,x),u)). K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). x != K(y,z * K(u,y)) | x = K(y,z). K(x,R(y,K(z,x),u)) = K(x,y). K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. K(x,(y * x) / z) != u | K(x,y / (x \ z)) = u. T(x,T(y,z / x)) = T(x,T(y,z)). x != T(y,T(z,u)) | x = T(y,T(z,y \ u)). T(x,T(y,z / x)) = T(x,T(y,x \ z)). T(x \ y,T(z,x)) = T(x \ y,T(z,y)). T(x \ y,T(z,y)) = T(x \ y,T(z,x)). T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). K(x,y \ (x \ ((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,y \ (x \ (y * z))) != u | L(K(x,x \ z),z,y) = u. 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)). T(x,K(y,z * x)) = T(x,K(z,y)). T(x,K(y * x,z)) = T(x,K(y,z)). K((x \ y) \ z,x) = K(y \ (z * x),x). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. x != K((y \ z) \ u,y) | x = K(z \ (y * u),y). K(x \ (y * z),z) = K(x \ (z * y),z). K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. 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)). K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). K(x \ 1,y) = K(x \ K(y,z),y). K(x \ K(y,z),y) = K(x \ 1,y). 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). 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 != (y * T(y \ z,u)) \ z | x = K(u,y \ z). K(x,(y * K(x,z)) \ u) = K(x,y \ u). K(x,(y * K(z,x)) \ u) = K(x,y \ u). K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ 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). K(x,(K(x,y) * z) \ u) = K(x,z \ u). K(x,y \ z) = K(x,(K(u,x) * y) \ z). K(x,(K(y,x) * z) \ u) = K(x,z \ u). T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). x != K(y,(K(z,u) * w) \ T(z,u)) | x = K(y,w \ z). K(x,y \ T(x,z)) = K(x,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,z \ (y \ x)) = K(x / y,z \ (x / y)). K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). T(x,(y * K(z,x)) \ u) = T(x,y \ u). T(x,(y * K(x,z)) \ u) = T(x,y \ u). T(x,(K(y,x) * z) \ u) = T(x,z \ u). T(x,y \ z) = T(x,(K(x,u) * y) \ z). T(x,(K(x,y) * z) \ u) = T(x,z \ u). x != T(y,(z * u) \ z) | x = T(y,u \ 1). T(x,y \ K(x,z)) = T(x,y \ 1). (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). 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). L(K(x,y),z,T(x,u)) = K(x,y). K(x,y) = K(x,L(y,z,T(x,u))). K(x,L(y,z,T(x,u))) = K(x,y). K(x,y \ (T(x,z) \ u)) != w | K(x,(T(x,z) * y) \ u) = w. K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). L(K(x,y),z,T(y,u)) = K(x,y). K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). L(K(x,T(y,z)),u,y) = K(x,T(y,z)). x != L(K(y \ z,u),z,y \ 1) | x = K((y \ 1) * z,u). K(x \ y,T(x \ 1,z)) = K((x \ 1) * y,T(x \ 1,z)). K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). T(x,y \ (z * x)) = T(x,(y / x) \ z). T(x,(y / x) \ z) = T(x,y \ (z * x)). T(x,(x \ y) \ z) = T(x,y \ (z * x)). x != T(y,z \ (u * y)) | x = T(y,z \ (y * u)). T(x,(y / x) \ z) = T(x,y \ (x * z)). L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). T(x,(x \ y) \ z) = T(x,y \ (x * z)). x != T(y,z \ ((y \ u) * y)) | x = T(y,z \ u). T(x,(x \ y) \ (x \ z)) = T(x,y \ z). K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). T(x,(y * (1 / x)) \ z) = T(x,R(y,x \ 1,x) \ (x * z)). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). x != T(y,(y \ z) \ u) | x = T(y,T(u / (y \ z),z)). T(x,y \ (x * z)) = T(x,T(z / (x \ y),y)). T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). T(x,y \ (x \ z)) = T(x,(x * y) \ z). T(x,(x * y) \ z) = T(x,y \ (x \ z)). T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. 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))). R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. x / T(y,T(z,x)) = T(x,y) / T(T(y,x),z). T(x,y) / T(T(y,x),z) = x / T(y,T(z,x)). x != y \ (z * K(u,T(y,z))) | x = T(y,u) \ z. T(x / T(y,T(z,x)),y) = T(y,z) \ x. T(x / T(y,z),y) = T(y,T(z,x)) \ x. x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. x != T(y,z \ K(u,z \ 1)) | x = T(y,K(u,z \ 1) / z). x * K(T(x,y),z \ 1) = T(x,K(y,z \ 1) / z). T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | w = K(x,u). (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | K(x,u) = w. (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). x != K(y,(K(z,y) * u) \ w) | x = K(y,u \ w). K(x,y \ (K(x,z) * u)) = K(x,y \ u). 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,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). K(x,y \ (z * K(x,u))) = K(x,y \ z). K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ 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)). x != K((y / (y / z)) \ 1,u) | x = K(z \ 1,T(u,y)). K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). x != (K(y * T(z,y),u) * y) * T(z,y) | x = (z * y) * R(K(z * y,u),y,T(z,y)). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). T(x * K(y,x),T(z,T(x,u))) != w | T(x * K(y,x),z) = w. x != y \ (z * K(y / z,z)) | x = (z * (y / z)) \ z. (x \ y) * K(x / y,y) = (y * (x / y)) \ y. (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). x != (y * T(z,u)) / T(y,z) | x = T(z,T(u,y)). T(x,T(y * K(x,z),u)) = T(x,T(y,u)). T(x,T(y / (x \ z),u)) = T(x,T(y / (z / x),u)). T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). K(x,T(T(x * y,z),u)) = K(x,T(T(T(x,w) * y,z),u)). K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). T(x,y \ (z \ y)) = T(x,(z * y) \ y). T(x,(y * z) \ z) = T(x,z \ (y \ z)). x != T(y,(z * u) \ u) | x = T(y,T(z,u) \ 1). T(x,y \ (z \ y)) = T(x,T(z,y) \ 1). T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). T(x,y \ K(y,z)) = T(x,z \ (y \ z)). K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. T(x,y / (y * z)) = T(x,y \ (z \ y)). x != T(y,(K(z,y) * u) \ w) | x = T(y,u \ w). T(x,y \ z) = T(x,y \ (K(u,x) * z)). T(x,y \ (K(z,x) * u)) = T(x,y \ u). T(x,y \ 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,T(x,y) / z) = T(x,z \ x). T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). T(x,T(y \ 1,z)) = T(x,((z * y) / z) \ 1). T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). T(x,y \ K(y,z)) = T(x,T(y \ 1,z)). T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). x != T(y,z \ K(z,u)) | x = T(y,u \ (z \ u)). T(x,T(y \ 1,z)) = 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 \ z) \ 1),y / z) = K(((y \ z) \ 1) * x,y / z). K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). x != K(y,T(T(z,u),u * y)) | x = K(L(y,w,y),z). K(T(x * y,y) / x,z) = K(L(y,u,y),z). K(L(x,y,x),z) = K(T(u * x,x) / u,z). K(x,y) = K(T(z * x,x) / z,y). K(T(x * y,y) / x,z) = K(y,z). K(T(x,y \ x) / y,z) = K(y \ x,z). (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). x != 1 / (y \ K(z,y)) | x = T(y,z). T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). T(x,x \ (y \ 1)) = T(x,(x * y) \ 1). T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)) = T(x,L(x * (y \ z),x \ 1,y) \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). x != T(y,(y * z) \ u) | x = T(y,z \ (y \ u)). T(x,x \ (y \ 1)) = T(x,y \ (x \ 1)). T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). T(T(x,y) * z,x) = T(x,y) * (x \ T(x * z,x)). T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). 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)). T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. x * K(y,K(z,u)) = (x * K(z,y)) * T(K(y,z),u). (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). K(L(K(x,y),z,u),w) = L(K(x,K(y,w)),z,u). L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). x != K(y,K(z,u)) * K(y,z) | x = T(K(y,z),u). T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). K(x,y) * K(y,K(z / (x * u),x)) = K(x,T(y,T((x * u) \ z,u))). K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). x != L(K(y,K(z,u)),w,v5) | x = K(L(K(y,z),w,v5),u). K(x,K(y,L(z,u,w))) = K(L(K(z,x),u,w),y). K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). x != L(K(y,K(z,u)),w,v5) | x = K(z,K(u,L(y,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 != L(K(y,K(z,u)),w,v5) | x = K(y,K(u,L(z,w,v5))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). x != K(y,K(z,u)) | x = K(z,K(u,y)). K(x,K(y,L(z,u,w))) = K(x,K(L(y,u,w),z)). K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,z,u))). K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. x != K(y,K(z,L(u,w,v5))) | x = K(y,K(u,L(z,w,v5))). K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). K(x,K(y,z)) = K(x,K(z,L(y,y,u))). K(x,K(y,L(z,z,u))) = K(x,K(z,y)). K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u * z,w))). K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). x != K(K(y,z) \ u,y) | x = K(u,y). K((x * K(y,z)) \ u,y) = K(x \ u,y). K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). K(x \ y,z) = K((K(u,z) * x) \ y,z). K((K(x,y) * z) \ u,y) = K(z \ u,y). x != K((K(y,z) * u) \ w,z) | x = K(u \ (K(z,y) * w),z). K(x \ y,z) = K(x \ (K(z,u) * y),z). K(x \ (K(y,z) * u),y) = K(x \ u,y). K(x \ (K(y,z) * u),z) = K(x \ u,z). K(x \ (y \ z),y \ z) = K(x \ (z / y),y \ z). K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). K(x \ (y \ z),y) = K(x \ (T(y,u) \ z),y). K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). K(x \ (y * K(z,u)),z) = K(x \ y,z). K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). K(a(x,y,T(z,y)),y) = K((x * (z * y)) \ ((x * y) * z),y). K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). x != K(y,(z * (y \ u)) \ w) | x = L(K(y,u \ ((z \ w) * y)),z \ w,z). K(x,(y * (z / x)) \ u) = L(K(x,z \ ((y \ u) * x)),y \ u,y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(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). K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). x != K(y / z,u \ (y / z)) | x = K(z \ y,(u * z) \ y). K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). x != K(y \ (T(z,u) \ w),z) | x = K(y \ (z \ w),z). K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). K(x,y) * z != K(x,u) * T(x,y) | z = T(x,u). K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). K(x,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). K(x,R(T(y,z),u,w)) = K(x,R(T(y,x * z),u,w)). K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). x != ((y * z) * ((u \ ((y * z) \ w)) * u)) \ w | x = K(u,(y * (z * u)) \ w). K(x,(y * z) \ (x \ u)) = K(x,(y * (z * x)) \ u). K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). x != T(y,T(z / (u / y),w)) | x = T(y,T((z * y) / u,w)). T(x,T(y / (x \ z),u)) = T(x,T((y * x) / z,u)). T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). L(K(x,((y \ 1) \ (y \ z)) \ u),u,y \ K(y,y \ z)) = K(x,(z / y) \ ((y \ K(y,y \ z)) * u)). T(x,y) * L(x \ T(z,x),u,w) = T(T(x,y) * L(x \ z,u,w),x). T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). T(x,y) * R(x \ T(z,x),u,w) = T(T(x,y) * R(x \ z,u,w),x). T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). 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)). K(x,K(x / y,(z * u) \ w)) = K(x,K(u \ (z \ w),L(y,u,z))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). x != K(y,K(z,L(u,w,v5))) | x = K(y,L(K(u,z),w,v5)). K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). K(x \ (y * z),T(y,u)) = K(x \ (z * y),T(y,u)). K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). K(x,(y * z) \ u) = K(x,(y * (z / x)) \ (x \ u)). K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). x != K(y \ (z * u),T(u,w)) | x = K((z \ y) \ u,T(u,w)). K(x \ (y * z),T(y,u)) = K((z \ x) \ y,T(y,u)). K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). x != K(y,(z * (u / y)) \ w) | x = K(y,(z * (y \ u)) \ w). K(x,(y * z) \ u) = K(x,(y * (x \ z)) \ (x \ u)). K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). x != K(y \ (z * u),T(z,u)) | x = K((y / u) \ z,z). 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)). x != K(((y * z) / y) \ u,u) | x = K(u * (z \ K(z,y)),u). K(x \ y,T(y,z)) = K(y * (x \ K(x,z)),y). K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). K(x,(y * z) \ (x \ u)) = K(x,(y * (x * z)) \ u). K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). K(x,y \ (x \ z)) = K(x,(y / (x \ 1)) \ z). K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). L(K(x,y \ (x \ (z \ u))),z \ u,z) != w | K(x,(z * (y / (x \ 1))) \ u) = w. K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). x != K(y,z) * K(y * z,y) | x = y \ R(y,z,y). T(x \ R(x,y,x),y) = x \ R(x,y,x). (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). (T(x * y,x) / x) / y = x \ R(x,y,x). 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. 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,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. 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,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))). x != K(y,L(T(z,y),u,w)) | x = K(y,L(z,u,w)). K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). T(x,T(y \ x,z)) = T(x,T(y,z) \ x). T(x,T(y,z) \ x) = T(x,T(y \ x,z)). T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). K(x,T(y * z,z)) = K(x,T(y * z,y)). K(x,T(y * z,y)) != u | K(x,T(y * z,z)) = u. K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. x * y != T(z,u) * K(u * L(z,w,v5),z) | x \ R(z,u,L(z,w,v5)) = y. x \ R(x,y,L(x,z,u)) = K(y * L(x,z,u),x) * K(x,y). K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). L(K(x * L(y,z,u),y),T(y,x),w) = (w * T(y,x)) \ (w * R(y,x,L(y,z,u))). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). x * 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)). x \ R(x,y,R(x,z,u)) = K(x,y) * K(y * R(x,z,u),x). K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). R(x,y,R(x,z,u)) * w = T(x,y) * (K(y * R(x,z,u),x) * w). T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). L(K(x,y),z,L(x,u,w)) = K(x,y). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. K(x,y) = K(L(x,z,L(x,u,w)),y). K(L(x,y,L(x,z,u)),w) = K(x,w). x != K((y * (z / y)) \ u,z) | x = K(z \ u,z). K(K(x \ y,x) * z,y) = K(y \ (y * z),y). K(x \ (x * y),x) = K(K(z \ x,z) * y,x). K(x,y) = K(K(z \ y,z) * x,y). K(K(x \ y,x) * z,y) = K(z,y). T(K(x \ y,x) * z,y) = (K(x \ y,x) * z) * K(z,y). (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). x != K(T(y,z),R(T(u,z),w,v5)) | x = K(y,R(u,w,v5)). R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. R(K(x,y),z,u) = K(x,R(y,T(y,w) \ z,u)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). R(K(x,y),z * y,u) = K(x,R(y,z,u)). K(x,R(y,x,z)) = K(R(x,y,z),y). K(R(x,y,z),y) = K(x,R(y,x,z)). R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). x != K(y,R(z,T(z,u) \ w,v5)) | x = R(K(y,z),K(u,z) * w,v5). R(K(x,y),z,u) = R(K(x,y),K(w,y) * z,u). R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. x != K(T(y,z),L(T(u,z),w,v5)) | x = K(y,L(u,w,v5)). L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). L(K(x,y),z * T(y,u),w) != v5 | K(x,L(y,z,w)) = v5. x != L(K(y,z),u * T(z,w),v5) | x = K(y,L(z,u * K(z,w),v5)). K(x,L(y,z,u)) = K(x,L(y,z * K(y,w),u)). K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). L(K(x,y),y * z,u) = K(x,L(y,z,u)). L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). L(K(x,y),z,u) = K(x,L(y,y \ z,u)). K(x,L(y,y \ z,u)) = L(K(x,y),z,u). K(x,L(y,x,z)) = K(L(x,y,z),y). K(L(x,y,z),y) = K(x,L(y,x,z)). K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). (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)). K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). K(x,K(y,L(z / u,u,w))) = K(x,K(z / u,L(y,z,w))). K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). L(K(x,y),z * y,u) != w | K(x,L(y,z,u)) = w. x != K(y \ (K(z,u) * w),T(z,v5)) | x = K(y \ w,T(z,v5)). K((K(x,y) * z) / u,x) = K(u \ z,T(x,z)). K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). K(x / y,z) = K((K(z,u) * x) / y,z). K((K(x,y) * z) / u,x) = K(z / u,x). (x * K(y / z,u)) \ x = K(u,(K(u,w) * y) / z). K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. x != (y * K(z,u)) \ y | x = K(u,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,(y * T(x,z)) / u) != w | K(x,y / (x \ u)) = w. x != K((y * K(z,u)) \ w,T(z,v5)) | x = K(y \ w,T(z,v5)). K(x / (y * K(z,u)),z) = K(y \ x,T(z,y)). K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). K(x / y,z) = K(x / (y * K(z,u)),z). K(x / (y * K(z,u)),z) = K(x / y,z). K(x / (y * z),u) = K(x / ((y * K(w,u)) * z),u). K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). K(x / (y * z),u) = K(x / ((K(u,w) * y) * z),u). K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). x != K(y,R(T(y,z),u,w) \ v5) | x = K(y,R(y,u,w) \ v5). K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). K(R(x,y,z),T(u,x \ w)) * v5 != K(R(x,y,z),T(u,w)) | 1 = v5. 1 = K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)). K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). R(K(x,y),z,R(x,u,w)) = K(x,y). (x * y) * R(x,z,u) = K(x,y) * ((y * x) * R(x,z,u)). K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). K(x,y) = K(R(x,z,R(x,u,w)),y). K(R(x,y,R(x,z,u)),w) = K(x,w). K(x,y / (z / R(x,u,w))) = K(x,(y * R(x,u,w)) / z). K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). T(R(x,y,R(x,z,u)),w) = K(x,w) * R(x,y,R(x,z,u)). K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). (K(x,y) / 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. R(K(x,y),z,L(x,u,w)) = K(x,y). K(x,y) = K(R(x,z,L(x,u,w)),y). K(R(x,y,L(x,z,u)),w) = K(x,w). K(R(x,y,L(T(x,z),u,w)),v5) = K(T(x,z),T(v5,z)). K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). K(x,y) = K(R(x,z,L(T(x,u),w,v5)),y). K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). x != K(y * (z / R(u,w,u)),u) | x = K(y * (z / T(u,w)),u). K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). x != K(y * (z / T(y,u)),y) | x = K(z,y). K(x * (R(x,y,x) \ z),x) = K(z,x). K(x * y,x) = K(R(x,z,x) * y,x). K(R(x,y,x) * z,x) = K(x * z,x). x != K(R(y,z,u) * w,y) | x = K(w * R(y,z,u),y). K(x * y,x) = K(y * R(x,z,x),x). K(x * R(y,z,y),y) = K(y * x,y). T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). T(x,y * R(x,z,x)) = T(x,x * y). T(x,y * R(x,z,x)) = x * K(x,x * y). K(x,y * R(x,z,x)) = K(x,x * y). x != K(y,z * R(y,u,w)) | x = K(y,R(y,u,w) * z). K(x,x * y) = K(x,R(x,z,x) * y). K(x,R(x,y,x) * z) = K(x,x * z). x != K(y,z) | x = K(R(y,u,y),z). K(x,x * y) = K(R(x,z,x),R(x,u,x) * y). K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). K(x,y) / T(y,z) = 1 / (K(y,x) * T(y,z)). 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * ((K(u,z) * T(u,w)) \ 1),v5). L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). x != T(y,T(z,u)) | x = (u * T(y,z)) / T(u,y). (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) / T(K(y,z),x). (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). x != K(R(y,z,u),T(w,y \ v5)) | x = K(R(y,z,u),T(w,v5)). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). K((x * y) / ((x / z) * y),u) = K(R(z,x / z,y),T(u,x)). K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). L(K(x,y),z,u) = K(L(x,z / T(x,w),u),y). K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). K(L(x,y,z),u) = L(K(x,u),x * y,z). L(K(x,y),x * z,u) = K(L(x,z,u),y). K(L(x,x \ y,z),u) = L(K(x,u),y,z). K(x,x * y) = K(L(x,y,z),x * y). K(L(x,y,z),x * y) = K(x,x * y). K(x,y \ (z * (x * u))) = K(L(x,u,z),(z \ y) \ (x * u)). K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). L(K(x,y),K(z,x),u) = K(L(x,T(x,z) \ 1,u),y). K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). x != L(y,1,z) | x = y. K(L(x,x \ 1,y),z) = K(x,z). K(L(x,T(x,y) \ 1,z),u) = K(T(x,y),T(u,y)). K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. K(x,y) = L(K(x,y),K(z,x),u). L(K(x,y),K(z,x),u) = K(x,y). (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). R(x,K(y,z),K(z,u)) = x. x != (y * K(z,u)) * K(u,w) | x = (y * K(u,w)) * K(z,u). x * (K(y,z) * K(z,u)) = (x * K(z,u)) * K(y,z). (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). x != (y * K(z,u)) * K(u,u * z) | x = (y / R(u,z,u)) * u. x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). x != y / K(z,u) | x = y * K(u,z). R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). R(x,T(K(y,z),u),K(z,w)) = x. (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). R(x,K(y,z),L(K(z,u),w,v5)) = x. R(x,L(K(y,z),u,w),K(z,v5)) = x. R(x,K(y,z),R(K(z,u),w,v5)) = x. R(x,T(K(y,z),u),T(K(z,w),v5)) = x. (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),K(u,y) * x). T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). x != y * 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. R(T(x / K(y,z),u),K(w,v5),K(v5,v6)) = T(x * K(z,y),u). R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). (x / T(y,z)) * K(y,u) = (x / y) * (K(y,u) * K(z,y)). (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). x * K(y,z) != u * K(w,z) | x = u * (K(w,z) * K(z,y)). x = (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)). (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. R(x,K(y,z),K(u,y)) = x. L(K(x,y),K(y,z),u) = K(x,y). x * K(y,z) = (x * K(u,z)) * (K(z,u) * K(y,z)). (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). (x * K(y,z)) \ ((K(z,u) * K(y,z)) * (x / K(z,u))) = K(K(z,u) * K(y,z),R(x / K(z,u),K(z,u),K(y,z))). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. 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)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). x * (y \ L(y,z,y)) = (x / R(y,z,y)) * y. (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). x != (y / R(z,u,z)) * z | x = z * (R(z,u,z) \ y). x * (y \ L(y,z,y)) = y * (R(y,z,y) \ x). x * (R(x,y,x) \ z) = z * (x \ L(x,y,x)). 1 * x != (1 / R(y,z,u)) * y | x = y / R(y,z,u). x \ L(x,y,x) = x / R(x,y,x). x / R(x,y,x) = x \ L(x,y,x). (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). x \ L(T(x,y),z,x) = R(x,z,x) \ T(x,y). R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). x != R(y,z,y) \ T(y,u) | x = R((u * y) / u,z,y) \ y. x \ L(T(x,y),z,x) = R((y * x) / y,z,x) \ x. R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. x != T(y,z) * K(u,T(w,y)) | x = K(y,z) * (K(u,w) * y). K(x * y,z) * T(x,y) = K(x,y) * (K(x * y,z) * x). K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). x * y != K(z,K(u,w)) * x | y = K(z,K(u,T(w,x))). K(x,K(y,T(z,u))) = K(x,K(y,T(z,x * u))). K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). K(x,K(y,T(z,u))) = K(x,K(y,T(z,x \ u))). K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). K(R(K(x,y),z,u),w) = R(K(x,K(y,w)),z,u). R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,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)). x != K(R(K(y,z),u,w),v5) | x = R(K(y,K(z,v5)),u,w). K(x,R(K(y,z),u,w)) = R(K(y,K(x,z)),u,w). R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). x != K(y,K(z,u)) \ K(z,y) | x = T(K(z,y),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)). K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)). T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). K(x,y) * T(z,K(x,u)) = T(K(x,y) * z,K(x,u)). T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). T(T(x,K(y,z)),K(y,u)) = K(y,K(x,z)) * T(x,K(y,u)). K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). T(x,K(y,z)) \ T(x * K(y,u),K(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),K(y,u)) = T(x,K(y,u)) * K(y,z). x != T(y,K(z,u)) * K(z,y) | x = y * K(z,T(y,u)). T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). ((x * 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). L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). x != K(y,T(z,u)) | x = K(T(y,u),z). K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). x != K(y,T(z \ T(y,u),w)) | x = K(y,T(z \ y,w)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). L(K(x,y),z,L(y,u,w)) = K(x,y). K(x,L(y,z,L(y,u,w))) = K(x,y). x != L(K(y,z),y * u,w) | x = K(L(y,u,w),z). K(x,y) = K(L(x,z,L(y,u,w)),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 \ y,x) * T(z,y) = T(K(x \ y,x) * z,y). T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). x != K(y,L(z,K(z,u) * w,v5)) | x = K(y,L(z,w,v5)). L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). K(x,K(y / z,(u * y) \ K(u,1 / u))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. K(T(x,y),R(z,u,w)) = K(T(x,z \ y),R(z,u,w)). K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). 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) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). x != K(y,z / (u / R(y,w,v5))) | x = K(y,z / (R(y,w,v5) \ u)). K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. x != (y / T(z,z * u)) * K(z,u) | x = y / L(z,u,z). (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). x != K(y,K(z,u \ 1)) | x = K(y,K(z,u)). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). x != R(K(y,K(z,u)),w,v5) | x = K(z,R(K(y,u),w,v5)). K(x,K(y,R(z,u,w))) = K(x,R(K(z,y),u,w)). K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). x != R(K(y,K(z,u)),w,v5) | x = K(y,R(K(z,u),w,v5)). K(x,K(y,R(z,u,w))) = K(x,R(K(y,z),u,w)). K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). 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(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 \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). 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)). (x * R(T(y,x),z,R(y,u,w))) * y = K(y,x) * ((x * R(y,z,R(y,u,w))) * y). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. ((x * y) / x) / ((x * (y * K(z \ 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) / 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 \ 1,(x \ 1) \ y) != z | K(x \ 1,x * y) = z. x != y \ T(L(z,y \ 1,y),u) | x = (y \ 1) * T(z,u). T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). (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). T(x,x * y) * K(y,x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). x != T(y,y * z) * K(z,y) | x = L(y,z,y). L(x,T(y,K(x,z)),x) = L(x,y,x). x != L(y,T(z,K(y,u)),y) | x = L(y,T(z,T(y,u)),y). L(x,y,x) = L(x,T(y,T(x,z)),x). L(x,T(y,T(x,z)),x) = L(x,y,x). L(x,T(x,y) \ z,x) = L(x,z / T(x,y),x). L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). x != K(y,z) * K(z * y,y) | x = y \ R(y,z,y). x \ R(x,y * K(x,z),x) = x \ R(x,y,x). 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). 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))). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). x != K(y,R(T(K(y,z),u),w,v5)) | x = 1. K(x,a(K(x,y),z,u)) = 1. K(a(K(x,y),z,u),x) = 1. T(x,a(K(x,y),z,u)) = x. K(x,K(a(K(y,z),u,w),y)) * v5 != v6 | v5 = v6. a(K(x,y),z,u) * x = x * a(K(x,y),z,u). a(K(x,y),z,u) * K(x,w) = K(x,w) * a(K(x,y),z,u). K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). x * K(a(K(x,y),z,u),w) = K(a(K(x,y),z,u),w) * x. K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). x != T(y,(z * (1 / u)) \ w) | x = T(y,(z * (u \ 1)) \ w). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. x != K(y,K(z,L(u,w * y,v5))) | x = K(u,K(z,L(y,w,v5))). K(x,K(y,(z * (u * y)) \ w)) = K(x,K((u * y) \ (z \ w),L(y,u,z))). K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(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,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). x * (y * z) != (x * (z * y)) * u | K(y,L(z,y,x)) = u. (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. K(x,T(y,z * (x * u))) = K(x,T(y,z * (u * x))). K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). T(x,(y * (x * z)) \ u) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). K(x,y \ (z * (x * u))) = K(x,y \ (z * (u * x))). K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). K((x * (y * z)) \ u,y) = K((x * (z * y)) \ u,y). K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). x != K(((y \ 1) * (y * z)) \ u,w) | x = K(L(z,y,y \ 1) \ u,w). K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). x != K(R(y,z,R(y,u,w)),v5) | x = K(y,v5). K(x,T(y,z)) = K(x,T(y,z * R(x,u,w))). K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z / R(x,u,w))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). x != K(y,T(z,u / R(y,w,v5))) | x = K(y,T(z,R(y,w,v5) \ u)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) \ z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) * z)). K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z * u)) = K(x,T(y,(x * z) * u)). K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). K(x,(R(x,y,z) * u) / w) = K(x,T(w \ (R(x,y,z) * u),u)). K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). x != K(y,T(z,u)) | x = K(y,z) * K(y,K(z,u)). K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). x != K(y,T(z,(y * u) * w)) | x = K(y,T(z,(u * y) * w)). K(x,T(y,z * u)) = K(x,T(y,(z * x) * u)). K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). K(x,((y * x) * z) \ u) = K(x,T(u / ((y * x) * z),y * z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,K(y,z)) = K(x,K(y,R(x,u,w) \ z)). K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,R(x,u,w) / z)). K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). K(x,K(y,z)) = K(x,K(y,z * R(x,u,w))). K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). K(x,T(y,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)). T(x,R(y,x \ 1,x) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). x != K((y * z) / (u * z),T(w,y)) | x = R(K(u \ y,w),y,z). K(R(x,y / x,z),u) = R(K((y / x) \ y,u),y,z). R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). R(K(x,y),z,u) = K(R(x,z / x,u),y). K(R(x,y / x,z),u) = R(K(x,u),y,z). K(R(x,y,z),u) = R(K(x,u),y * x,z). R(K(x,y),z * x,u) = K(R(x,z,u),y). R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. 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 \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). x * y != T(z,u / w) * K(w \ u,w) | x \ ((u / w) \ (z * (w \ u))) = y. x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). T(x * (y / x),z) * K(x,u) = x * (T(y,z) / T(x,u)). x != R(y,z,u) \ R(y * K(w,y),z,u) | x = K(w,R(y,z,u)). K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). K(x * y,R(x,z,u)) = K((x \ 1) \ y,R(x,z,u)). K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). x != K(((y \ 1) \ 1) \ z,u) | x = K(y \ z,u). K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). R(K(x,y),T(T(y,z),u),w) = K(x,y). K(x,y) \ z = T(T(y,u),K(x,y)) * ((T(y,u) * K(x,y)) \ z). T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. x != K(y \ z,y) * K(u,z / y) | x = y \ (z / T(z / y,u)). K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). 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). K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. x * K(1 / x,y) = 1 / (x \ K(y,1 / x)). 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). 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(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). K(x,K(y,z \ (u * x))) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). K(x,R(y,z,u)) = K(x,R(y,z * K(y,w),u)). K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). (x * K(y,R(z,u,w))) \ x = K(R(z,K(z,v5) * u,w),y). K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). x != K(R(y,K(y,z) * (y \ u),w),v5) | x = R(K(y,v5),K(y,z) * u,w). K(R(x,x \ y,z),u) = R(K(x,u),K(x,w) * y,z). R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. (x / y) * z != u * ((x / T(y,x)) * z) | R(K(y,x),y \ x,z) = u. x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. K(x,(y * z) \ z) = K(x,z \ (y \ z)). K(x,y / (y * z)) = K(x,y \ (z \ y)). x != K(y,z \ (u * (w / y))) | x = K(y,z \ (u * (y \ w))). K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * (z / x))) \ (y * (x \ z))). K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). x != K(y,z \ (u \ z)) | x = K(y,(z / u) / z). K(x,y / (y * z)) = K(x,(y / z) / y). K(x,(y / z) / y) = K(x,y / (y * z)). K(x * (y / (T(z,z \ 1) * y)),z \ 1) = K(x * ((T(z,z \ 1) * y) \ (((z \ 1) \ 1) \ (T(z,z \ 1) * y))),z \ 1). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). (x * K(y,z \ (y \ 1))) \ x = K((u * z) \ (y \ u),y). K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). K(x \ (y \ z),y) = K((z \ x) \ (y \ 1),y). K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). T(x,(y \ z) \ (x \ 1)) = 1 / (x \ K(z \ (x \ y),x)). 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). T(x,y \ (x \ z)) = T(x,(z \ y) \ (x \ 1)). T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). x != T(y,z \ (y \ u)) | x = T(y,(y * z) \ u). T(x,y \ (x \ z)) = T(x,(x * (z \ y)) \ 1). T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). x != T(y,z \ 1) | x = T(y,L(z,y \ 1,u) \ 1). T(x,y \ (x \ z)) = T(x,L(x * (z \ y),x \ 1,u) \ 1). T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). K(x \ (y \ z),y) = K(x \ (z * (y \ 1)),y). 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). (((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 * K((y \ 1) \ (z \ x),z)) * u = (y \ ((z \ (y * x)) * z)) * u. (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u * x)). T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). T(K(x,y \ (z * x)),y) = T(K(x,y \ (z * x)),T(y,x * z)). T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). x != K(y,K(z \ u,u)) | x = K(y,K(z,u)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). x != K(y,(1 / z) * u) | x = K(y,(z \ 1) * u). K(x,K(y,z)) = K(x,(y \ 1) * ((z \ y) * z)). K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. K((x * y) \ (z \ u),z) = K((x * (z * y)) \ u,z). K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. K(x \ y,1 / z) = K((x * z) \ ((1 / z) \ y),1 / z). K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). T(x,(y * (x * z)) \ u) = 1 / (x \ K((y * z) \ (x \ u),x)). 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). x != K(y,1 / (z \ u)) | x = K(y,u \ z). K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). x != y * K(T(y,z),R(u,w,v5)) | x = T(y,R((z * u) / z,w,v5)). T(x,R(y / (y / z),u,w)) = T(x,R((y * z) / y,u,w)). T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). x != T(y,R((z * u) / z,w,v5)) | x = T(y,R(T(u,z),w,v5)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). x != T(y,K(z,z / u)) | x = T(y,K(u,z)). T(x,1 / (y \ z)) = T(T(x,1 / (z / y)),K(z,y)). T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). x != T(T(y,1 / (z / u)),K(z,u)) | x = T(y,1 / T(z / u,z)). T(x,1 / (y \ z)) = T(x,1 / T(z / y,z)). T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). T(x,T(1 / y,z)) = T(x,1 / ((y \ z) \ z)). T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). x != T(y,1 / (((z \ u) \ u) \ u)) | x = T(y,1 / (u / z)). T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). x != T(y,T(1 / (z \ u),u)) | x = T(y,K(u,z / u) / (z \ u)). T(x,1 / (y / z)) = T(x,K(y,z / y) / (z \ y)). T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). x != K(y,z \ (y \ ((y * u) * z))) | x = K(y,R(T(u,z),y,z)). ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). T(x,y * z) * K(z,y) = T(x * K(z,y),y * z). T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). x != K(y,z * T(u,y)) | x = K(y,z * u). K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). x != K(y,(z * (y / z)) \ u) | x = K(y,y \ u). K(x,K(y \ x,y) * z) = K(x,x \ (z * x)). 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,K(y,x) * z) = K(x * y,z). K(x,(y \ x) * z) = K(x,(x / y) * z). K(x,(x / y) * z) = K(x,(y \ x) * z). T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. (x * y) * (K(y,x) * z) = (K(y,x) * z) * T(x * y,z). (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). R(K(x,K(y,z)),u,w) * x = T(x,K(R(y,u,w) \ 1,z)). T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). T(x,K(y,R(z,u,w))) = T(x,R(K(z,y),u,w)). T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). T(x,R(K(y,z),u,w)) != v5 | T(x,K(z,R(y,u,w))) = v5. T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). x != T(y,R(K(z,u),w,v5)) | x = T(y,K(u,R(z,w,v5))). T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). 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))). T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). L(K(x,y),z,x \ 1) = K(x,y). ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). x != L(y,z,(u \ 1) \ 1) | x = L(y,z,u). K(x \ 1,y) = L(K(x \ 1,y),z,x). L(K(x \ 1,y),z,x) = K(x \ 1,y). K(L(x,y,x) \ 1,z) = K(x \ 1,z). (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). K(R(x,y,x) \ 1,z) = K(x \ 1,z). K(x \ 1,y) * (z * x) = (K(x \ 1,y) * z) * x. (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). L(K(x,y),z,y \ 1) = K(x,y). x != K(y,z) | x = (y * z) / (z * y). L(K(x,y),z,y \ 1) = (x * y) / (y * x). x != L(K(y \ T(z,u),w),T(z,u),u) | x = K((u * y) \ (z * u),w). K(x \ T(y,z \ 1),z) = K(((z \ 1) * x) \ (y * (z \ 1)),z). K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). L(K(x,y),z,y \ 1) != u | K(x,y) = u. K(L(x,y,z \ 1),z) != u | K(x,z) = u. K(((x \ 1) * y) \ z,T(x,y)) != u | K(((x \ 1) \ z) / y,x) = u. R(x,y,K(x \ 1,z)) = x. x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). R(x,y,K(z,x \ 1)) = x. x \ (y * K(z,x \ 1)) = (x \ y) * K(z,x \ 1). L(x,y,K(x \ 1,z)) = x. L(x \ 1,y,K(x,z)) = x \ 1. (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). 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)). (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,R(y,z,x \ 1)) = K(x,y). T(x,R(y,z,x \ 1)) = x * K(x,y). R(x,y,z \ 1) * K(z,x) = R(x * K(z,x),y,z \ 1). R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). T(x,R(y,z,x \ 1)) = T(x,y). T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). (x * y) * (x \ 1) = R(y,x,x \ 1) * K(x,y). R(x,y,y \ 1) * K(y,x) = (y * x) * (y \ 1). R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). K(x,y \ R(x,z,z \ 1)) = K(x,y \ ((z * x) * (z \ 1))). K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). x * y != K(z,u) * R(u,w,z \ 1) | x \ R(u * K(z,u),w,z \ 1) = y. x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). x != K(y,z) * T(y * K(z,y),u) | x = T(y,T(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 != T(y,T(z,u)) | x = T(T(y,z),K(u,z)). T(x,T((y \ z) \ 1,u)) = T(T(x,z \ y),K(u,z \ y)). T(T(x,y \ z),K(u,y \ z)) = T(x,T((z \ y) \ 1,u)). T(x,T((y \ ((z * u) \ z)) \ 1,w)) = T(x,T(L(u \ 1,u,z) \ y,w)). T(x,T(L(y \ 1,y,z) \ u,w)) = T(x,T((u \ ((z * y) \ z)) \ 1,w)). T(x,T((y \ z) \ 1,u)) != w | T(x,T(z \ y,u)) = w. K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). x != K(y,z / u) * K(u \ z,u) | x = u \ (z / T(z / u,y)). x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). K(((x / y) \ 1) * z,T(y / x,x / y)) = K((x / y) \ z,R((x / y) \ 1,x / y,y)). K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). x != K(y,z) \ u | x = K(z,y) * u. T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). T(x,T(y \ (z \ y),u)) = T(x,T((z * y) \ y,u)). T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). x != T(K(y,z),T(u,y * w)) | x = T(K(y,z),T(u,w)). T(K(x,y \ (z * x)),y) = T(K(x,y \ (z * x)),T(y,z)). T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. T(x,(y * z) \ (x \ u)) = T(x,(y * (x * z)) \ u). T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). x != T(y,(z * (y * u)) \ w) | x = T(y,(z * (u * y)) \ w). T(x,(y * z) \ (x \ u)) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). x != K(y \ (z * (u \ 1)),u) | x = K(y \ (u \ z),u). K(x \ T(y,z \ 1),z) = K(((z \ 1) * x) \ (z \ y),z). K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). K(x,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). T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). K(x,K(y,(z * u) \ ((z * x) * u))) = 1. x != R(y * K(z,y),u,w) \ R(y,u,w) | x = K(R(y,u,w),z). K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). K(R(x,y,z),u * K(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(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). x != K(y,K(z,T(u,y \ w))) | x = K(y,K(z,T(u,w))). K(x,K(y,z / (x \ u))) = K(x,K(y,T(u \ (x * z),u))). K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). x != K((y * z) / y,u) | x = K(z,T(u,y)). L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). K(x,T(y \ z,u)) = K(x,T((z \ y) \ 1,u)). K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). K(x,T((y \ z) \ 1,u)) != w | w = K(x,T(z \ y,u)). K(x,T((y \ z) \ 1,u)) != w | K(x,T(z \ y,u)) = w. K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). x != K(y \ z,T(y \ 1,u)) | x = K((y \ 1) * z,T(y \ 1,u)). K((x \ y) \ z,T(y \ x,u)) = K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)). K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. 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)). x != K(y,(z * (y * u)) \ w) | x = K(y,(z * u) \ (y \ w)). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). x != (K(y,z) * (u * y)) \ (K(y,z) * u) | x = L(y \ 1,y,u). L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). L(x \ 1,T(x,y),z) = L(x \ 1,x,z). T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). x != T(y * L(y \ 1,y,z),u) | x = y * ((z * y) \ z). 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). K(L(x,y,z),T(u,w)) = K(L(x,y,z),T(u,x \ w)). K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). x != K(L(y,z,u),T(w,y \ v5)) | x = K(L((y \ v5) \ v5,z,u),w). K(L(x,y,z),T(u,w)) = K(L((x \ w) \ w,y,z),u). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). (x * K(L(y,z,u),T(w,v5))) \ (x * w) = T(w,L((y \ v5) \ v5,z,u)). T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). x != L(T(y,z),K(y,u),w) | x = T(y,z). (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). K(x,y / (z * K(u,x))) = K(T(x,z),z \ y). K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). K(x,y / z) = K(x,y / (z * K(u,x))). K(x,y / (z * K(u,x))) = K(x,y / z). K(x,y / (z * x)) = K(x,y / (x * z)). K(x,y / (z * T(u,x))) = K(x,y / (z * u)). K(x,y / (z * K(x,u))) = K(x,y / z). x != K(y,z / (y * (u * z))) | x = K(y,u \ (y \ 1)). K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). x != K(y,z / ((u * w) * y)) | x = K(y,z / ((u * y) * w)). K(x,y / (x * (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). K(x,(y * z) / (z * x)) = K(x,R(y / x,x,z)). K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). K(x,y / (z * 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)) = 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)) != u | K(x,R(x \ y,x,z)) = u. K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). 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)). x != K(y,z / ((u * y) * w)) | x = K(y,z / (y * (u * w))). K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). T(x,y / ((x * z) * u)) = x * K(x,y / (x * (z * u))). x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = 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 * y))) = K(y,K(x,z \ u)). K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). K(x,K(y,z \ u)) = K(x,K(y,z \ (y \ u))). K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). x != K(y,K(z,u \ (w * y))) | x = K(y,K(z,(u / y) \ w)). K(x,K(y,z \ u)) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). K(x,y) * K(x,K(y,z \ u)) = T(K(x,y),(z \ (u * x)) \ 1). T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). x != K(y,K(z,(u / y) \ w)) | x = K(y,K(z,(y \ u) \ w)). K(x,K(y,z \ u)) = K(x,K(y,(x \ z) \ u)). K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). x != K(y,K(z,u \ (y \ w))) | x = K((T(y,v5) * u) \ w,K(y,z)). K(x,K(y,z \ u)) = K((T(x,w) * u) \ z,K(x,y)). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). x != K(y,T(z,(y \ u) \ w)) | x = K(y,T(z,u \ (y * w))). K(x,T(y,z \ u)) = K(x,T(y,z \ (x * u))). K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x * z) \ u)). K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z \ (x \ u))). K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). K(x,T(y,a(x,z,u))) = K(x,T(y,(z * u) \ ((x * z) * u))). K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). K(x,K(y,(y * z) / u)) = K(T(y,z),K(x,u \ z)). K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). K(x,K(y,z / u)) = K(y,K(x,(y * z) / u)). K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. K(x,K(y,z / u)) = K(x,K(y,z / (x \ u))). K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). K(x,K(y,z / u)) = K(x,K(y,z / (x * u))). K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). K(x,y) = K(x,T(y,a(x,z,u))). K(x,T(y,a(x,z,u))) = K(x,y). K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). T(x,T(y,a(x,z,u))) = x * K(x,y). T(x,T(y,a(x,z,u))) = T(x,y). (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. x != K(y,z) * K(y,K(z,u)) | x = T(K(y,z),u). T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). T(K(x,y),z \ u) = T(K(x,y),z \ (u / x)). T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). x != K(y,z) | x = K((y \ 1) \ 1,z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. x != K(y,T(z,L(z,u,w) * (z \ v5))) | x = K(y,T(z,L(z,u,w) * v5)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). x != K(y,R(T(z,u),z \ w,v5)) | x = R(K(y,T(z,u)),w,v5). K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). x != (y * (K(z,u) * w)) / (y * w) | x = K((y * w) / (y * (z \ w)),u). L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). K(x,T((y / z) \ x,u)) = K(x,T((y / (x * z)) \ 1,u)). K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). x != K(y,T((z / u) \ 1,z)) | x = K(y,z \ u). K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). x != K(y,z \ (y * u)) | x = K(y,z \ (u * y)). K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). K(x,T(y \ x,z)) = K(x,z \ (x * (y \ z))). K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). K(x,T(y \ x,z)) = K(x,z \ ((y \ z) * x)). K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). x != K(y,(y * z) \ (u * y)) | x = K(y,z \ u). K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). K(x \ y,x \ (z \ y)) = K(x \ y,T(z \ (x \ y),y)). K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). K(x,T(y \ x,z)) = K(x,z \ (y \ (x * z))). K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). x != K(y,(z / R(z,u,w)) \ y) | x = K(y,y * (z \ R(z,u,w))). K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). 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. K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. x != K(y,(z / u) \ y) | x = K(y,T(z \ (y * u),u)). K(x,y / (x \ z)) = K(x,T(z \ (x * y),y)). K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). x != K(y,(z / u) \ y) | x = K(y,(y * u) / z). K(x,y / (x \ z)) = K(x,(x * y) / z). K(x,(x * y) / z) = K(x,y / (x \ z)). K(x,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). K(x,y \ x) = K(x,(y \ (x * z)) / z). K(x,(y \ (x * z)) / z) = K(x,y \ x). K(x,(x \ y) / (z / x)) = K(x,y / z). K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). K(x,(x \ y) / z) = K(x,y / (z * x)). K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. T(x,y / (x \ z)) = T(x,(z / y) \ x). x != T(y,z / (y \ u)) | x = T(y,(z * y) / u). T(x,(y / z) \ x) = T(x,(z * x) / y). T(x,(y * x) / z) = T(x,(z / y) \ x). K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). x != K(y / z,u \ (z \ y)) | x = K(z \ y,(u * z) \ y). K(x \ y,x \ (z \ y)) = K(x \ y,(z * x) \ y). K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). x != K(y,z / a(y,u,w)) | x = K(y,a(y,u,w) \ z). K(x,y \ x) = K(x,a(x,z,z \ 1) \ (y \ R(x,z,z \ 1))). K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). ((x * y) \ ((x * K(z,u)) * y)) \ 1 = R(K(T(T(u,x),x * y),z),x,y). R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. K(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). L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). K((x * y) / (x * (z \ y)),u) \ w = L(K(T(T(u,y),x * y),z),y,x) * w. L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),K(x,u) * y). T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). x != T(y,z) * K(u,T(y,z)) | x = T(y * K(u,y),z). T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). x != T(y * K(z * R(y,u,w),y),z) | x = R(y,z,R(y,u,w)). T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). T(x,T(y,z)) \ (T(x,y) * (T(x,T(y,z)) * u)) = T(x,y) * u. L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). x != L(K(y,T(z,u)),u,L(z,w,v5)) | x = K(y,T(z,L(z,w,v5) * u)). K(x,T(y,z)) = K(x,T(y,L(y,u,w) * z)). K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,L(y,u,w) \ z)). K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). K(x * y,T(x,z)) = K(y * x,T(x,z * y)). K(x * y,T(y,z * x)) = K(y * x,T(y,z)). K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. K(x,T(y \ x,z)) = K(x,T(y \ x,z * y)). K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). K(x,T(y \ x,z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). x != K(y,T(z \ y,u / z)) | x = K(y,T(z \ y,z \ u)). K(x,T(y \ x,z)) = K(x,T(y \ x,y \ z)). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). x != K(y,T(z \ y,z \ u)) | x = K(y,(u / (u / z)) \ y). K(x,T(y \ x,z)) = K(x,(z / (z / y)) \ x). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). x != K(y,((y * z) / u) \ y) | x = K(y,u / z). K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). K(x,T(y \ x,z)) = K(x,((x * z) / y) / z). K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). x != K(y,z / R(T(y,u),w,v5)) | x = K(y,R(y,w,v5) \ z). K(x,T(y \ x,R(T(x,z),u,w))) = K(x,R(x,u,w) \ ((x * R(T(x,z),u,w)) / y)). K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. x != K(R(1 / y,y,z) / u,y \ 1) | x = K(z / (u * (y * z)),y \ 1). K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). x != K(y \ R(1 / z,u,w),v5) | x = K(y \ R(z \ 1,u,w),v5). K(x / (y * (z * x)),z \ 1) = K(y \ R(z \ 1,z,x),z \ 1). K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x \ (y / (z * y)),z \ 1) = K(y / (x * (z * y)),z \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). x != K(y \ (z / (u * z)),u \ 1) | x = K(y \ ((u * z) \ z),u \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). x != K(y \ z,T(u,y * K(z,y))) | x = K(z / y,u). K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). K(x \ y,T(z,T(y,x))) = K(y / x,z). K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)) = K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. ((T(x,K(y,z)) / u) * u) / x = R(K(y,(T(x,z) / u) / (x / u)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. x != T(y,z) * L(y \ T(z,y),u,w) | x = T(y * L(y \ z,u,w),z). T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). T(T(x,x * y) * L(y,z,u),x) = T(x * L(x \ (x * y),z,u),x * y). T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). x != T(y,y * z) * R(y \ T(y * z,y),u,w) | x = T(y * R(z,u,w),y * z). T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). x * L(K(y,z),u,w) = (x * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). K(x,T(y,L(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. 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)). x != K(y,T(z,u * (w * y))) | x = K(y,T(z,u * (y * w))). K(x,T(y,z * u)) = K(x,T(y,z * (x * u))). K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). 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)) = K(x,T(y,z * (x \ u))). K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. (x \ (y * z)) * x = (y * K((z \ 1) \ (x \ y),x)) * z. (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). x \ ((y * x) * (y \ 1)) = K(y,x) * a(x,y,y \ 1). K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). x != (y * K(z,T(u,w))) \ (y * u) | x = T(u,T(z,w)). T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). T(x,L(T(y,z),u,w)) = T(x,L(T(y,z * y),u,w)). T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). x != (y * z) \ ((T(y,u) * z) * y) | x = T(y,T(u,z)). T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). x != K(y,(z / u) \ (y \ 1)) | x = K(y,u / (z * y)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). K(x,T(y,z / u)) = K(x,T(y,z / (x \ u))). K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). x != T(y,T((z * (y \ 1)) / u,u / (y \ 1))) | x = T(y,(u / (y \ 1)) \ z). T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). T(x,y \ (z * (x \ 1))) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). x != T(y,z) * z | x = y * ((y * z) / y). (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). K(x,y) * T(y,x * y) = L(y,K(z,y) * x,y). L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). x != K(y,z) * T(z,y * z) | x = L(z,y,z). L(x,K(y,x) * z,x) = L(x,z,x). L(x,T(x,y) \ z,x) = L(x,x \ z,x). x != L(y,T(y,z) \ u,y) | x = L(y,u / T(y,z),y). L(x,x \ y,x) = L(x,y / T(x,z),x). L(x,y / T(x,z),x) = L(x,x \ y,x). x / L(y,T(y,z) \ x,y) = T(y,x) \ x. x != L(y,z / T(y,u),y) | x = T((z * K(u,y)) / (z / T(y,u)),z * K(u,y)). L(x,x \ y,x) = T((y * K(z,x)) / (y / T(x,z)),y * K(z,x)). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). T(L(x,x \ y,x),z) = L(T(x,z),x \ (y * K(u,x)),x). L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). x != L(T(y,z),T(u,y),y) | x = L(T(y,z),u,y). L(T(x,y),x \ z,x) = L(T(x,y),z / T(x,u),x). L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). x != L(T(y,z),u,w) \ L(y,u,w) | x = K(z,L(y,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. K(x \ (y * z),L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). x != L(K(y,z),u,w) * K(z,v5) | x = K(z,v5) * L(K(y,z),u,w). a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). a(x,y,K(z,u)) = K(z,u) * L(K(u,z),y * K(z,u),x). K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). T(x,a(y,z,K(x,u))) = x. a(x,y,K(z,u)) * K(w,z) = K(w,z) * a(x,y,K(z,u)). K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). K(x,y) \ 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)). a(x,y,K(z,u)) != w | K(u,z) \ L(K(u,z),y,x) = w. ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). a(x,y,K(z,u)) * w = K(z,u) * (L(K(u,z),y,x) * w). K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). a(x,y,K(z,u)) != w | K(z,u) * L(K(u,z),y,x) = w. K(x,y) * a(z,u,K(x,y)) = L(K(x,y),u,z). L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). K(x,y) != z * a(u,w,K(x,y)) | L(K(x,y),w,u) = z. x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). 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,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. x != K(K(y,z),u) | x = K(z,K(u,y)). K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). T(x,T(L(y \ 1,y,z) \ u,w)) != v5 | T(x,T(((z * y) \ z) \ u,w)) = v5. K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). T(x,T(y / (x \ z),u)) = x * K(x,T((z / y) \ x,u)). x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. 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)). R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. L(K(x \ y,x),z,y) = (y * (K(x \ y,x) * z)) / (y * z). (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). 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))). K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. x != R(K(y,T(T(z,u),u * w)),u,w) | x = (u * w) \ ((u * K(y,z)) * w). ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). 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). R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). L(x,y,x) * R(K(x,z),u,w) = L(x * R(K(x,z),u,w),y,x). L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). x != L(y,z,u) * R(K(y,w),v5,v6) | x = R(K(y,w),v5,v6) * L(y,z,u). L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. x != (T(y * z,K(u,w)) / z) / y | x = K(u,K(w,(1 / z) / y)). K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). x * K(x / T(y,x),z) = T(x * K(x / y,z),x). T(x * K(x / y,z),x) = x * K(x / T(y,x),z). T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). 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,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). T(K(x,y),z) * T(K(y,u),z) = z \ (K(y,u) * (K(x,y) * z)). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). x != ((y * z) / y) / ((y * (z * K(u,z))) / y) | x = K(z,T(u,y)). 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(L(L(y,z,u),w,v5),u) | x = K(L(y,w,v5),u). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). x != K(y,z / (u * T(w,y))) | x = K(y,z / (u * w)). K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). T(x * L(y,z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). x != K(y,z) * L(T(u,y),w,v5) | x = T(K(y,z) * L(u,w,v5),y). x \ ((L(y,z,u) * (y \ x)) * y) = T(K(y \ x,y) * L(y,z,u),y \ x). T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). (K(x,y) * T(z,u)) * K(y,T(x,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). x != T(K(y \ z,y) * u,y \ z) | x = (z / y) \ (u * (y \ z)). x \ ((L(y,z,u) * (y \ x)) * y) = (x / y) \ (L(y,z,u) * (y \ x)). (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). x != (K(y,z) * u) * K(w,T(y,v5)) | x = K(y,z) * (u * K(w,T(y,v5))). (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). T(x,T(y,K(z,u))) = K(z,u) * (K(x,y) * (K(u,z) * x)). K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). x != L(y * K(z,y),u,w) / L(y,u,w) | x = K(z,L(y,u,w)). K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). x != L(y,z,u) / L(y * K(w,y),z,u) | x = K(L(y,z,u),w). K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). K(L(x,y,z),u) = K(L(x,y,z),K(w,x) * u). K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). 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)). K(x,R(y,z,u)) = K(K(y,w) * x,R(y,z,u)). K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). T(K(x,y) * z,R(x,u,w)) = (K(x,y) * z) * K(z,R(x,u,w)). (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). K(x,y) * T(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). ((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(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. x != T(y,z) / y | x = K(y,z). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | u = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). x != K((y * z) / (y * (u \ z)),w) | x = (y * (K(u,w) * z)) / (y * z). K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. 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 \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). R(K(x,y),R(y,z,u),w) = K(x,y). R(x,y,z) * u = K(w,x) * (R(x,y,z) * (K(x,w) * u)). K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,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. R(K(x,y),R(x,z,u),w) = K(x,y). K(x,R(x,y,z) / (u / w)) = K(x,(R(x,y,z) * w) / u). K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). K(x,y) * (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(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(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)). 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). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * (y * (y \ z)))). K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). K(x,((y * x) * z) / (x * z)) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). L(K(x,y),z,y * x) = K(x,R(y,x,z)). R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). x != K(y,R(z,u,w)) * ((z * u) * w) | x = (z * (K(y,z) * u)) * w. (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. (K(x,y) * z) * T(y * x,z) = (x * y) * z. x != (K(y,z) * u) * T(z * y,u) | x = (z * y) * (K(y,z) * u). (x * y) * z = (y * x) * (K(x,y) * z). (x * y) * (K(y,x) * z) = (y * x) * z. L(x,K(y,z),z * y) = x. x * y != (z * u) * K(u,w) | x \ (z * T(u,w)) = y. (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). (x * y) \ z = K(y,x) * ((y * x) \ z). K(x,y) * ((x * y) \ z) = (y * x) \ z. x * y != (z * u) * (K(u,z) * w) | x \ ((u * z) * w) = y. x \ (((y \ x) * y) * z) = K(y \ x,y) * z. x * ((y * x) \ z) = T(x,y) * ((x * y) \ z). T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). K((x * y) \ z,y) != u | K((y * x) \ z,y) = u. a(x,y / x,x) = K(y,x) * K(x,x \ y). K(x,y) * K(y,y \ x) = a(y,x / y,y). x != K(y * R(z,u,w),z) * K(z,y) | x = z \ R(z,y,R(z,u,w)). (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). x != K(y * L(z,u,w),z) * K(z,y) | x = z \ R(z,y,L(z,u,w)). (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). (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) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. x != K(y,z) * K(z,z \ y) | x = z \ R(z,z \ y,z). a(x,y / x,x) = x \ R(x,x \ y,x). x \ R(x,x \ y,x) = a(x,y / x,x). a(x,y / x,x) \ K(y,x) = K(x \ y,x). 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) * K(x * y,x) = a(x,y,x). K(x * y,x) * K(x,y) = a(x,y,x). x != y \ R(y,z,y) | x = T(y,u) \ R(T(y,u),z,y). a(x,y,x) = T(x,z) \ R(T(x,z),y,x). T(x,y) \ R(T(x,y),z,x) = a(x,z,x). x != y \ R(y,(z \ u) \ 1,y) | x = K(y,u \ z) * K(u \ (z * y),y). a(x,(y \ z) \ 1,x) = K(x,z \ y) * K(z \ (y * x),x). K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). x != y \ R(y,z * K(y,u),y) | x = y \ R(y,z,y). a(x,y * K(x,z),x) = x \ R(x,y,x). x != y \ R(y,y \ z,y) | x = K(z,y) * K(y,y \ z). a(x,x \ y,x) = K(y,x) * K(x,x \ y). K(x,y) * K(y,y \ x) = a(y,y \ x,y). x * a(x,y,x) = R(x,y,x). a(x,y,x) * x = R(x,y,x). x \ R(x,y \ 1,x) = a(x,x \ (y \ x),x). a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). 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). x != R(y,z,y) | x = L(y,z,y). x * a(x,y,x) = L(x,y,x). x \ R(x,y,x) != z | z = a(x,y,x). x \ R(x,y,x) != z | a(x,y,x) = z. a(x,y,x) * K(x,x * y) = K(x,y). K(x,y) * a(y,x,y) = K(y * x,y). a(x,y,x) * (y * x) = T(x * y,x). (x * y) * a(y,x,y) = T(y * x,y). (x / y) * a(y,z,y) = x / L(y,z,y). a(x,y,x) * K(y,x) = K(x * y,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). R(x * a(y,x,y),z,u) * y = y * R(y \ T(y * x,y),z,u). (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. K(x,y) * K(x * y,x) != z | a(x,y,x) = z. a(x,x \ y,x) * K(x,y) = K(x,x \ y). x != K(y * z,y) | x = K(z * y,y). K(x,y) * a(y,x,y) = K(x * y,y). x * a(y,x / y,y) = T(y * (x / y),y). R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). a(x,y,x) * K(y,x) = K(y * x,x). a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). a(x,y,x) * T(x,z) = R(T(x,z),y,x). T(x,y) \ ((x \ y) \ y) = a(x,x \ y,x). a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). a(x,y,T(x,z)) = x \ R(x,y,x). a(x,y,T(x,z)) != u | a(x,y,x) = u. a(x,T(y,x),x) != z | a(x,y,x) = z. x * a(y,z,y) = (x * y) / L(y,z,y). (x * y) / L(y,z,y) = x * a(y,z,y). a(x / y,z,x / y) * (x / y) = R(T(x / y,K(y,x)),z,x / y). R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). (x / L(y,z,y)) * y = x * a(y,z,y). (x * a(y,z,y)) \ (x * y) = L(y,z,y). x != (y / L(z,u,z)) * z | x = z * (L(z,u,z) \ y). x * a(y,z,y) = y * (L(y,z,y) \ x). x * (L(x,y,x) \ z) = z * a(x,y,x). x * y = (x * L(y,z,y)) * a(y,z,y). (x * L(y,z,y)) * a(y,z,y) = x * y. a(x,y,x) \ x = L(x,y,x). ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). x != y * (L(y,z,y) \ u) | x = T(y,w) * (L(T(y,w),z,y) \ u). x * a(y,z,y) = T(y,u) * (L(T(y,u),z,y) \ x). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). x != y * (L(y,z,u) \ w) | x = L(y,z,u) \ (y * w). x * a(y,z,y) = L(y,z,y) \ (y * x). L(x,y,x) \ (x * z) = z * a(x,y,x). K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). (x * y) / a(y,z,y) = x * L(y,z,y). L(x,y,x) \ z = (x \ z) * a(x,y,x). (x \ y) * a(x,z,x) = L(x,z,x) \ y. (x / y) \ (x / a(y,z,y)) = L(y,z,y). K(x,y) * a(x,x \ y,x) = K(x,x \ y). x \ ((y * (x / y)) * z) = K(y \ x,y) * z. x != y \ R(y,z,y) | x = a(y,z,y). a(x,x \ (y \ x),x) = a(x,y \ 1,x). x != a(y,y \ z,y) | x = T(y,z) \ ((y \ z) \ z). a(x,y \ 1,x) = T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)). T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). x \ ((y * (x / y)) * z) = K(y,y \ x) * z. T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). x != T(y,y * z) * (L(y,z,y) \ u) | x = K(y,z) * u. K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. K(x,y) * z != K(x,x * y) * u | z * a(x,y,x) = u. K(x,x * y) * z != K(x,y) * u | u * a(x,y,x) = z. K(x,x * y) * (z * x) = K(x,y) * (z * L(x,y,x)). K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). 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 * R(y \ T(z,y),u,w) | x = T(y * R(y \ z,u,w),y). R(x * a(y,x,y),z,u) * y = T(y * R(y \ (y * x),z,u),y). T(x * R(x \ (x * y),z,u),x) = R(y * a(x,y,x),z,u) * x. T(x * R(y,z,u),x) = R(y * a(x,y,x),z,u) * x. R(x * a(y,x,y),z,u) * y = T(y * R(x,z,u),y). R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). (x * y) \ ((T(z * x,z) / z) * y) = L(a(z,T(x,y),z),T(x,y),y). L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). K(x \ y,z \ y) * (y / x) = T(T(T(y,x \ y) / x,y),y / z). T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). x != K(y \ z,u) * (z / y) | x = T(z / y,T(u,y)). T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). T(x / y,x / z) = T(x / y,T(z \ x,y)). T(x / y,T(z \ x,y)) = T(x / y,x / z). T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). x != T(y,(((z \ 1) \ 1) \ u) \ w) | x = T(y,(z \ u) \ w). T(x,y / (((z \ 1) \ 1) \ u)) = T(T(x,K(y,z \ u)),(z \ u) \ y). T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). x != T(T(y,K(z,u)),u \ z) | x = T(y,z / u). T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). T(x,K(y,z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. T(x,K(y,z)) / (z * T(z \ x,y)) = (x * K(y,(z / x) \ 1)) / x. x != (y * K(z,u)) / y | x = K(z,T(u,y)). T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,T((z / x) \ 1,x)). x != K(y,T((z / u) \ 1,u)) | x = K(y,(u \ z) \ 1). T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,(x \ z) \ 1). x != L(y * K(z,y),u,w) \ L(y,u,w) | x = K(L(y,u,w),z). K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). 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)). (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 != K(y,K(z,u \ 1) / u) | x = K(T(y,z),u \ 1). K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). x != K(T(y,(z / u) \ 1),z) | x = K(T(y,z \ u),z). K(T(x,y),z \ 1) = K(T(x,(z \ 1) \ (z \ y)),z \ 1). K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). K(x,(y * z) \ (x \ u)) != w | K(x,(y * (z / (x \ 1))) \ u) = w. x != L(K(y,z),T(z,u),w) | x = K(y,z). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). L(K(x,y),z,u) * T(w,K(x,v5)) = T(L(K(x,y),z,u) * w,K(x,v5)). T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. x != K(y,z) * ((z * R(y,u,w)) * y) | x = (y * z) * R(y,u,w). (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). x != (y * z) * T((y * z) \ (u * z),w) | x = (y * T(y \ u,w)) * z. K(x,y) * (K(z,x) * u) = ((1 / z) * T((1 / z) \ K(x,y),x)) * u. ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). L(x,K(y,z),K(z,u)) = x. x \ (K(y,z) * (K(u,y) * 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 != y | x = K(z,u) * (K(u,z) * y). L(x,K(y,z),K(z,u)) = K(w,v5) * (K(v5,w) * x). x != T(y / (y / z),z \ y) | x = z. L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. L(x,K(y,z),K(y,u)) = x. L(x,L(K(y,z),u,w),K(z,v5)) = x. L(x,K(y,T(z,u)),K(z,w)) = x. x != L(K(y,z) * (K(u,w) * v5),K(z,y),K(w,u)) | x = (K(w,u) * K(z,y)) \ v5. K(x,y) * (K(z,y) * u) = (K(y,z) * K(y,x)) \ u. (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). x != L(K(y,z) * K(u,z),K(z,u),K(z,y)) | x = (K(z,y) * K(z,u)) \ 1. 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(x,z)) * u = K(x,y) * (K(x,z) * u). L(x,K(y,z),K(u,y)) = x. K(x,y) * (K(y,z) * u) = (K(z,y) * K(y,x)) \ u. (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). x != K(y,z) * K(u,z) | x = K(u,z) * K(y,z). (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. L(x,K(y,z),K(z,u)) != w | w = x. T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) != w | T(K(z,x) * K(x,y),u) = w. x != (K(y,z) * K(y,u)) \ K(y,y \ 1) | x = ((y \ K(y,z)) * T(y,u)) \ 1. K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. K(x,T(y,z)) * u = K(x,y) * (K(x,K(y,z)) * u). K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. a(x,y,x) \ z = K(y,x) * (K(x,x * y) * z). K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. (a(x,y,x) \ z) * a(x,y,x) = z. T(a(x,y,x),z) = a(x,y,x). x / a(y,z,y) = a(y,z,y) \ x. x * a(y,z,y) = a(y,z,y) * x. a(x,y,x) * z = z * a(x,y,x). x / a(y,z,y) != u | u = a(y,z,y) \ x. x / a(y,z,y) != u | a(y,z,y) \ x = u. x != a(y,z,y) | x = y \ R(y,z,y). T(a(x,y,x),z) = x \ R(x,y,x). T(a(x,y,x),z) * u != a(x,y,x) | 1 = u. 1 = K(x,a(y,z,y)). K(x,a(y,z,y)) = 1. 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). (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). R(T(a(x,y,x),z * u),z,u) = (z * u) \ ((z * a(x,y,x)) * u). (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). (x / y) \ (a(y,z,y) \ x) = L(y,z,y). x / T(a(y,z,y),u) = a(y,z,y) \ x. x != (y / z) * a(z,u,z) | x = y / L(z,u,z). a(x,y,x) * (z / x) = z / L(x,y,x). x * y != z * a(u,w,u) | x \ (a(u,w,u) * z) = y. (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). a(x,y,x) * z != z * u | a(x,y,x) = u. (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. a(x,y,x) * z = z * (x \ R(x,y,x)). x * (y \ R(y,z,y)) = a(y,z,y) * x. T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). (x / y) * L(y,z,y) = a(y,z,y) \ x. x != y / L(z,T(z,u) \ y,z) | x = T(z,y) \ y. a(x,T(x,y) \ z,x) * (z / x) = T(x,z) \ z. x != (1 / y) * L(y,z,u) | x = y \ L(y,z,u). a(x,y,x) \ 1 = x \ L(x,y,x). (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. R(K(x,y),K(y,z),u) = K(x,y). x != (K(y,z) * K(z,u)) * w | x = K(z,u) * (K(y,z) * 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). (x \ L(x,y,x)) * z = K(y,x) * (K(x,y * x) * z). K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. K(x,y) * R(R(K(x,y),K(y,z),u) \ 1,w,v5) = R(K(x,y) * R(K(x,y) \ 1,w,v5),K(y,z),u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). R(K(x,y),K(z,y),u) = K(x,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)). T(x,R(a(y,z,y),u,w)) = x. x != K(y,z) * (K(z,u) * w) | x = (K(u,z) * K(z,y)) \ w. K(x,y) * (K(z,x) * u) = (K(y,x) * K(x,z)) \ u. (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). x != K(y,z) * u | x = T(z,y) \ (z * u). 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). K(x,y) * z = K(u,x) * (K(x,y) * (K(x,u) * z)). K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. K(x,y) * (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). (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). 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). K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). x * y != K(z,u) * (K(w,z) * (K(u,z) * v5)) | (K(w,z) * v5) / y = x. (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). (((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). (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). x != K(y,z) * (K(z,y * z) * u) | x = a(z,y,z) \ u. (x \ L(x,y,x)) * z = a(x,y,x) \ z. x * y != z \ (z * u) | x \ u = y. (x \ L(x,y,x)) \ z = a(x,y,x) * z. 1 * x != a(y,z,y) * u | x = (y \ L(y,z,y)) \ u. x \ R(x,y,x) = (x \ L(x,y,x)) \ 1. (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). 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. T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). x != (y * z) \ ((T(u * y,u) / u) * z) | x = L(a(u,T(y,z),u),T(y,z),z). R(a(x,y,x),y,z) = L(a(x,T(y,z),x),T(y,z),z). L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). L(a(x,y,x),T(y * K(z,y),z),z) = R(a(x,y * K(z,y),x),y * K(z,y),z). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). K(x,y) * (y * (K(z,y) / y)) = ((y \ K(y,z)) * T(y,x)) \ 1. ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). x != K(y,z) * (z * u) | x = z * (K(y,z) * u). ((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 \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). x != y * K(T(z,u),w) | x = y * K(z,T(w,u)). (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). x != L(K(y,z),u,w) * (K(z,y) * v5) | x = a(w,u,K(y,z)) \ v5. K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. x != K(y,z) * (L(K(z,y),u,w) * v5) | x = a(w,u,K(y,z)) * v5. a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. x != a(y,z,K(u,w)) * K(v5,u) | x = K(v5,u) * a(y,z,K(u,w)). a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) != v5 | v5 = w. a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. 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(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). a(x,y,R(x,z,u)) = x \ R(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). a(x,y,R(x,z,u)) \ 1 = R(x,y,R(x,z,u)) \ x. R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. K(x,y) * a(x,z,R(x,u,w)) = x \ R(T(x,y),z,R(x,u,w)). x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,y,R(x,z,u)) * T(K(y,x),w) = K(y * R(x,z,u),x) * K(y,K(x,w)). K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). a(x,y,R(x,z,u)) = ((x \ w) \ w) \ R((x \ w) \ w,y,R(x,z,u)). ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). x != a(T(y,z),T(T(z,y),y),R(T(y,z),u,w)) | x = a(R(y,u,w),z,y). 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(x,y,R(T(x,y),z,u)) \ 1. R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. x != R(y,z,R(y,u,w)) \ y | x = a(y,z,R(y,u,w)) \ 1. a(R(x,y,z),u,x) \ 1 = a(T(x,u),u,R(T(x,u),y,z)) \ 1. a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). T(x * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). T(T(x,K(y,z)),K(z,u)) \ x = K(K(y,z) * K(z,u),K(y,z) \ x). K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. 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(L(K(x,y),z,u),w \ v5) = K(L(K(x,y),z,u),w \ (v5 / x)). K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). x != K(L(K(y,z),u,w),v5) | x = K(z,K(v5,L(y,u,w))). K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). x != K(y,K(z \ (u \ (w \ v5)),L(u,z,w))) | x = K(y,K(u,(w * (z * u)) \ v5)). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). x != K(y,K(z \ (u \ w),L(v5,z,u))) | x = K(v5,K(y,(u * z) \ w)). K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). x != K(y,K(z,(u * (w * y)) \ ((u * y) * w))) | x = K(y,K(z,a(u,y,T(w,y)))). K(x,K(y,(z * u) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). x != K(y,K(z,(u * w) \ ((u * y) * w))) | x = 1. K(x,K(y,a(z,x,T(u,x)))) = 1. K(x,K(y,a(z,x,u))) = 1. a(x,y,z) * 1 = T(a(x,y,z),K(u,y)). T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. T(a(x,y,z),K(u,y)) = a(x,y,z). T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). a(x,y \ z,u) * K(y,z) != w | K(y,z) * a(x,y \ z,u) = w. K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. R(T(x,x * y),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). T(K(x,y) * K(y,z),u) = T(K(y,z) * K(x,y),T(u,K(y,z))). T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. K(x * R(y,z,u),y) * K(y,x) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). x != K(y * R(z,u,w),z) * K(z,y) | x = a(z,y,R(z,u,w)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). a(x,R(x,y,z) \ u,R(x,w,v5)) = a(x,u / R(x,y,z),R(x,w,v5)). a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). x != K(y,z / R(y,u,w)) | x = K(y,R(y,u,w) \ z). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. x != R(y,K(z,u),w * K(u,z)) * w | x = (y * K(z,u)) * (K(u,z) * w). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). x != L(y,T(1 / z,u) \ w,v5) | x = L(y,T(z \ 1,u) \ w,v5). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). x != T(T(y * K(z * R(y,u,w),y),v5),z) | x = R(T(y,v5),z,R(y,u,w)). R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. x != K(y,T(z / (y * u),u)) | x = K(y,u \ (y \ z)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). 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)). K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). x != K(R(R(y,K(z,u),w),v5,v6),u) | x = K(R(y,v5,v6),u). K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). x != K(R(y * K(z,u),w,v5),u) | x = K(R(K(z,u) * y,w,v5),u). K(R(x,K(y,z) * u,w),z) = K(R(K(y,z) * x,u,w),z). K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). x != K(R(K(y,z) * u,w,v5),z) | x = R(K(u,z),w * (K(y,z) * u),v5). K(R(x,K(y,z) * u,w),z) = R(K(x,z),u * (K(y,z) * x),w). R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(T(x,z) * y,u),w)). K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). x != K(y,T(T(T(y,z) * u,w),v5)) | x = K(y,T(T(y * u,w),v5)). K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). x != K(y,R(R(z,K(u,y),w),v5,v6)) | x = K(y,R(z,v5,v6)). K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). x != K(y,R(z * K(u,y),w,v5)) | x = K(y,R(K(u,y) * z,w,v5)). K(x,R(y,K(z,x) * u,w)) = K(x,R(K(z,x) * y,u,w)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). T(x,R(K(y,x) * z,u,w)) = x * K(x,R(z,K(y,x) * u,w)). x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(y,x) * u,w)). T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). x != K(a(y,z,u),T(y,w)) | x = K(a(y,z,u),y). K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). 1 = K(a(x,y,z),x). K(a(x,y,z),x) = 1. T(a(x,y,z),x) = a(x,y,z). x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). T(a(x,y,z),x) != u | u = a(x,y,z). T(a(x,y,z),x) != u | a(x,y,z) = u. T(a(1 / x,y,z),x \ 1) != u | a(x \ 1,y,z) = u. K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). x != K(y,L(L(z,u,K(w,y)),v5,v6)) | x = K(y,L(z,v5,v6)). K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). x != R(y / z,u,z \ y) | x = R(T(y / z,K(z,y)),u,y / z). a(x \ y,z,x \ y) * (y / x) = R(T(y / x,K(x,y)),z,y / x). R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). a(x / y,z,x / y) = a(y \ x,z,y \ x). K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). x != T(y,z) \ R(T(y,z),u,y) | x = y \ R(y,u,y). K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). L(K(x,K(y,z)) \ u,K(T(x,y),K(y,z)),T(x,y)) = T(x,T(y,z)) \ (T(x,y) * u). T(x,T(y,z)) \ (T(x,y) * u) = K(x,K(y,z)) \ u. x != T(y,T(z,u)) \ (T(y,z) * (T(y,T(z,u)) * w)) | x = T(y,z) * w. K(x,K(y,z)) \ (T(x,T(y,z)) * u) = T(x,y) * u. K(x,K(y,z)) \ u = T(x,y) * (T(x,T(y,z)) \ u). T(x,y) * (T(x,T(y,z)) \ u) = K(x,K(y,z)) \ u. x != (y * z) / z | x = y. R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). R(T(x,y),K(x,z),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). R(R(T(x,y),K(x,z),u),w,v5) * (K(x,z) * u) = (K(x,z) * u) * R((K(x,z) * u) \ (T(T(x,z),T(y,z)) * u),w,v5). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). K(x,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)) | x = K(y,u). 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)). L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). 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)). x != K(y,z * ((u * z) \ u)) | x = 1. K(x,L(y * ((z * y) \ z),u,w)) = 1. x != K(y,L(z * ((u * z) \ u),z \ 1,u * z)) | x = K(y,a(u,z,z \ 1) \ 1). 1 = K(x,a(y,z,z \ 1) \ 1). K(x,a(y,z,z \ 1) \ 1) = 1. x != T(y,y \ (((y \ 1) * z) \ 1)) | x = T(y,z \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). x != T(y,(z \ u) \ 1) | x = T(y,u \ z). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). x != T(y,L(y * (z \ u),y \ 1,w) \ 1) | x = T(y,u \ (y \ z)). T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). x != T(y,z \ (u * (y \ 1))) | x = T(y,(z / (y \ 1)) \ u). T(x,y \ (x \ z)) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). x != K(y * R(z,u,w),z) * K(y,K(z,v5)) | x = a(z,y,R(z,u,w)) * T(K(y,z),v5). T(K(x * R(y,z,u),y),w) = a(y,x,R(y,z,u)) * T(K(x,y),w). a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). K(x \ (L(y,z,u) * w),T(y,L(y,z,u) \ x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). x != T(K(y,z),T(u,K(w,y))) | x = K(y,T(z,u)). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). x != K(y,L(L(z,u,y),w,v5)) | x = K(y,L(z,w,v5)). K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). K(x,y \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). x != K(y,z \ (y \ (z * (u * y)))) | x = K(y,L(u,y,z)). L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). L(K(x,y),z,y * x) = K(x,L(y,x,((y * x) * z) / (y * x))). K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). x != (y * (z * u)) * K(u,L(z,u,y)) | x = y * (u * z). (x * y) * T(z * K(y,x),x * y) = z * (y * x). x * y != (z * u) * T(w * K(u,z),z * u) | (w * (u * z)) / y = x. (x * (y * z)) / (z * y) = x * K(y,z). (x / (y * z)) * K(y,z) = x / (z * y). (x / y) * K(z,z \ y) = x / ((z \ y) * z). (x / y) * K(y / z,z) = x / (z * (y / z)). K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). x != (y / z) * K(z / y,u) | x = 1 / ((u * ((y / z) \ 1)) / u). x / (x * (y / x)) = 1 / ((x * ((x / y) \ 1)) / x). 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). (x / (x * (y / x))) \ 1 = (x * ((x / y) \ 1)) / x. (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. x != K(y,T(z / u,u / z)) | x = K(y,z / u). K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). K((x / y) \ z,y / x) = K(((x / y) \ 1) * z,y / x). K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). x != K(L(y,z,u),L(K(w,y),v5,v6) * v7) | x = K(L(y,z,u),v7). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). x != K(y,R(K(z,u),w,v5)) | x = K(y,K(u,R(z,w,v5))). K(x,K(a(y,z,u),T(w,y * (z * u)))) = K(x,K(R(y,z,u) \ y,R(w,y,z * u))). K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). a(x,y,x) * K(y,T(x,z)) = K(T(x,z * y) * y,T(x,z * y)). K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). K(x * y,T(x,z)) = a(x,y,x) * K(y,T(x,z)). a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). 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). x != K(y,T(z,L(z,u,w) \ v5)) | x = K(y,T(z,v5)). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,y) \ R(K(x,y),z,u) != w * (K(y,x) * R(K(x,T(y,v5)),z,u)) | K(v5,K(y,R(x,z,u))) = w. x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). x != R(y,z,u) * K(w,R(y,z,u)) | x = R(y * K(w,y),z,u). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). x != K(L(y,z,u),w \ L(K(y,v5),v6,v7)) | x = K(L(y,z,u),w \ 1). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). x != K(y,(z \ u) \ 1) | x = K(y,u \ z). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). x != K(y,T(z / ((u * T(y,u * w)) * w),u * w)) | x = K(y,(u * w) \ (y \ z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). x != K(y,T(z / ((u * y) * w),u * w)) | x = K(y,((u * y) * w) \ z). K(x,(y * z) \ (x \ u)) = K(x,((y * x) * z) \ u). K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). x != K(y,(((y \ z) * y) * u) \ w) | x = K(y,(z * u) \ w). K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). x != K(y,((z * y) * (z \ 1)) \ (y * u)) | x = K(y,a(y,z,z \ 1) \ u). K(x,x \ (x * y)) = K(x,a(x,z,z \ 1) \ y). K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). K(x,a(x,y,y \ 1) \ z) = K(x,z). x != K(y,a(y,z,z \ 1) \ (u \ R(y,z,z \ 1))) | x = K(y,u \ y). K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). x != K(y,z \ R(y,u,u \ 1)) | x = K(y,z \ ((u * y) * (u \ 1))). K(x,y \ x) = K(x,y \ ((z * x) * (z \ 1))). K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). x != K(y,((z \ u) * w) \ (u * w)) | x = R(K(y,T(z,u * w)),u,w). K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1). R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). x != K(y,((y \ 1) * z) \ (y \ u)) | x = K(y,L(z,y \ 1,y) \ u). K(x,y \ z) = K(x,L(y,x \ 1,x) \ z). K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). K(x,(y * (x \ z)) \ u) = K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u). K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). x != K(y,(z * (y \ u)) \ (y \ w)) | x = K(y,(z * u) \ w). K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). K(x,(y * (x \ 1)) \ z) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). x != K(y,(z * ((y \ 1) * u)) \ w) | x = K(y,(z * (y \ u)) \ w). K(x,(y * z) \ (u * x)) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * z) \ (u * x)) = L(K(x,z \ ((y \ u) * x)),y \ u,y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. x != K(y,(z * (y \ 1)) \ u) | x = K(y,((y \ 1) * z) \ u). K(x,y \ (z * x)) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). x != K(T(y,z),((T(y,z) \ 1) * z) \ u) | x = K(y,u / ((y \ 1) * z)). K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). K(x,y / (x \ z)) = K(x,y / ((x \ 1) * z)). K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). K(T(x,x \ 1),R(y,x \ 1,z)) = K(x,(((x \ 1) * y) * z) / (x \ z)). K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u). K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). x != K((y * (z \ 1)) \ u,z) | x = L(K(z * (y \ u),z),y \ u,y). K(x \ (y * z),z) = L(K(z * (x \ y),z),x \ y,x). L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). x != K((y * (z \ 1)) \ (y * u),z) | x = L(K(z * u,z),u,y). K(x \ ((x * y) * z),z) = L(K(z * y,z),y,x). L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). x != K(y \ (z * u),u) | x = K(y \ (u * z),u). L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). x != K(L(y,z,u),z * y) | x = K(y,y * z). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). x != K(T(y,y \ 1),z) | x = K(y,z). K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). x != K(y,R(z \ u,z,w)) | x = R(K(y,z \ u),u,w). K(x,(y / (((x \ 1) * ((x \ 1) \ z)) * y)) \ x) = R(K(x,(x \ 1) \ z),z,y). R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). x != L(K(y,z \ ((u \ w) * y)),u \ w,u) | x = K(y,(u * z) \ (w * y)). K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). x != K(y,(z * (u * (w / y))) \ (u * (y \ w))) | x = K(y,(u * (w / y)) \ (z \ (u * (w / y)))). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). x != K(y,(z / (u * z)) \ w) | x = K(y,R(u \ 1,u,z) \ w). R(K(x,x * y),y,z) = K(x,R(y \ 1,y,z) \ x). K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). L(K(x * y,T(x,z)),y,z) = K(z \ (x * (z * y)),T(x,z * y)). K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). L(K(x * y,T(x,z)),y,z) != u | K((z / (z * y)) \ x,x) = u. x != K(y,z \ (u \ z)) | x = K(y,T(u \ 1,z)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). x != K(y,T(z,u * (w / y))) | x = K(y,T(z,u * w)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). K(x,y \ ((z * (x \ u)) * x)) = K(x,T((y / (z * u)) \ 1,z * u)). K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). K(x,y * (x \ z)) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,y * (x \ z)). x != K(y,z \ (((y \ z) * u) * y)) | x = K(y,u). K(x,y \ ((x \ y) * z)) = K(x,x \ z). K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. K(x,x \ (y * (x * z))) = K(x,y * z). K(x,x \ y) = K(x,z * (x \ (z \ y))). K(x,y * (x \ (y \ z))) = K(x,x \ z). (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). K(x,y \ z) = K(x,x \ ((x \ y) \ z)). K(x,x \ ((x \ y) \ z)) = K(x,y \ z). K(x / y,x \ (y * z)) = K(x / y,(x / y) \ z). K(x / y,(x / y) \ z) = K(x / y,x \ (y * z)). x != K(y,z \ (u * (y * w))) | x = K(y,z \ (u * (w * y))). K(x,y * z) = K(x,x \ (y * (z * x))). K(x,x \ (y * (z * x))) = K(x,y * z). x != K(y,y \ ((y \ z) \ u)) | x = K(y,y \ ((z / y) \ u)). K(x,y \ z) = K(x,x \ ((y / x) \ z)). K(x,x \ ((y / x) \ z)) = K(x,y \ z). K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). K(x,x \ y) = K(x,y * (1 / x)). K(x,y * (1 / x)) = K(x,x \ y). 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)). 1 / K(x,x \ y) = K(y * (1 / x),x). K(x * (1 / y),y) = 1 / K(y,y \ x). K(x,x \ (y \ z)) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,x \ (y \ z)). K(T(x,y),T(x,y) \ (y \ z)) = K(T(x,y),(x * y) \ z). K(x * (1 / y),y) = K(y \ x,y). x != K(y \ z,y) | x = K((1 / y) * z,y). K(x * (1 / y),y) = K((1 / y) * x,y). K((1 / x) * y,x) = K(y * (1 / x),x). K(((1 / x) \ y) * (1 / x),x) = K(y,x). x != K(y * (1 / z),u) | x = K(y * (z \ 1),u). K(x \ y,x) = K(y * (x \ 1),x). K(x * (y \ 1),y) = K(y \ x,y). K(x * y,y \ 1) = K((y \ 1) \ x,y \ 1). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). x != K((y * z) * (y \ 1),y) | x = K(R(z,y,y \ 1),y). K(x \ (x * y),x) = K(R(y,x,x \ 1),x). K(R(x,y,y \ 1),y) = K(y \ (y * x),y). x * K(x * (y \ 1),y) = (y \ x) * y. K(x,y \ (x \ z)) = K(x,x \ (y \ z)). x != K(y * (1 / (1 / z)),u) | x = K(y * z,u). K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). K(T(x,1 / y) / y,y) = K(x / y,y). x * K(x * y,1 / y) = ((1 / y) \ x) * (1 / y). ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). x * K(x * y,y \ 1) = ((y \ 1) \ x) * (y \ 1). ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). 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(x,y \ (x \ (y * z))) = K(x,x \ z). K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). L(K(x,x \ y),y,z) = K(x,x \ y). K(x,x \ y) != z | L(K(x,x \ y),y,u) = z. K(x \ y,y \ (x * z)) = K(x \ y,(x \ y) \ z). K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). K(x,x \ y) * z != L(K(x,x \ y),y,u) | 1 = z. 1 = a(x,y,K(z \ y,z)). a(x,y,K(z \ y,z)) = 1. L(K(x \ y,x),y,z) = K(x \ y,x). K(x \ (y \ (x * z)),y) = K(y \ z,y). K((x * y) \ z,y) = K(y \ (x \ z),y). K(x \ (y \ z),y) = K(y \ (x \ z),y). (x * y) * K(z \ y,z) = x * ((z \ y) * z). K((x * y) \ z,x) = K(x \ (y \ z),x). K(x \ ((x \ y) \ z),x) = K(y \ z,x). K((x \ y) \ z,L(x,u,w)) = K(L(x,u,w) \ ((x \ (L(x,u,w) \ y)) \ z),L(x,u,w)). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(R(x,y,y \ 1),y) = K(x,y). K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). K(x \ 1,x * y) = K(x \ 1,y * x). K(x \ 1,y * x) = K(x \ 1,x * y). x != K(y,(z \ 1) \ u) | x = K(y,(1 / z) \ u). K(x \ 1,y * x) = K(x \ 1,(1 / x) \ y). K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). x != K((y / (z * y)) \ 1,((y / (z * y)) \ 1) \ u) | x = K((y / (z * y)) \ 1,R(z \ 1,z,y) * u). K((x / (y * x)) \ 1,z * (x / (y * x))) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). x * T(x \ 1,y * x) = K(x \ 1,x * y). ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). K(x,K(y / z,u * y)) = K(x,K(y / z,u * z)). K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). x != K(y,((z * u) \ z) \ 1) | x = K(y,u). K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). R(x,y,K(z \ y,z)) = x. x != R(R(y,z / u,u),z,K(u \ z,u)) | x = R(y,u \ z,u). R(x,y / z,z) = R(x,z \ y,z). R(x,y * z,K(z,y)) = x. R(x,y,T(z,y)) = R(x,y,z). x * (y * z) = (x * (z * y)) * K(y,z). (x * (y * z)) * K(z,y) = x * (z * y). R(x,y,z) * (z * y) = (x * y) * T(z,y). R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). x != R(K(y,(z / (u / w)) \ y),u / w,w) | x = K(y,u / ((y \ z) * w)). R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). K(x,L(y,x,z)) = K(x,y). K(x,y) * T(z * (y * x),K(y,x)) = z * (x * y). K(L(x,y,z),y) = K(x,y). x != K(y,L(z,y,((z * y) * u) / (z * y))) | x = L(K(y,z),u,z * y). K(x,y) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,y). T(x,L(y,x,z)) = x * K(x,y). L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). x != L(K(y,z),u,z * y) | x = K(y,R(z,y,u)). K(x,y) = K(x,R(y,x,z)). K(x,R(y,x,z)) = K(x,y). K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). x != K(y,R(z,y,u)) | x = K(R(y,z,u),z). K(x,y) = K(R(x,y,z),y). K(R(x,y,z),y) = K(x,y). x != K(y,R(y \ (z / u),y,z / (z / u))) | x = K(y,z / (u * y)). K(x,x \ (y / z)) = K(x,y / (z * x)). K(x,y / (z * x)) = K(x,x \ (y / z)). K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). K(1 / x,y * x) = K(1 / x,y / (1 / x)). K(1 / x,y / (1 / x)) = K(1 / x,y * x). x != K(y,z) | x = K(y,R(z,y,u)). K(R(x,y,z),y) = K(x,R(y,x,u)). K(x * y,1 / y) = K(x / (1 / y),1 / y). K(x / (1 / y),1 / y) = K(x * y,1 / y). T(x,L(y,x,z)) = T(x,y). x != T(y,L(y \ z,y,u)) | x = T(y,u \ (y \ (u * z))). T(x,x \ y) = T(x,z \ (x \ (z * y))). T(x,y \ (x \ (y * z))) = T(x,x \ z). L(x,y,z) * T(y,x) = y * L(x,y,z). T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). (x * T(y,z)) \ (x * (T(y,z) * z)) = L(z,y,x). L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). T(x,R(y,x,z)) = x * K(R(x,y,u),y). K(R(x,y,z),y) != u | K(x,y) = u. K(x,R(y,x,z)) != u | K(x,y) = u. ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. L(K(x,y),z,y * x) != u | K(x,y) = u. K(x,y / (x * z)) = K(x,x \ (y / z)). x != K(y,z / (u * y)) | x = K(y,(y \ z) / u). K(x,x \ (y / z)) = K(x,(x \ y) / z). K(x,(x \ y) / z) = K(x,x \ (y / z)). 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,z / y) = K(x \ y,(x \ y) \ (z / x)). K(x \ y,(x \ y) \ (z / x)) = K(x \ y,z / y). ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). x != y * K(R(y,z,y),u) | x = T(y,u). T(x,R(y,x,z)) = T(x,y). T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). K(x,L(y,x,z)) != u | K(x,y) = u. K(x \ y,y \ (x * z)) != u | K(x \ y,(x \ y) \ z) = u. K(x,T((x * y) \ z,y)) = K(x,x \ (z / y)). x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). 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))). (x * T(y,z)) / (y * z) = R(x / z,z,y). x != K(y,R(R(z,u,w),u * w,v5)) | x = R(K(y,R(z,u,w)),(z * u) * w,v5). K(x,R(y,x * z,u)) = R(K(x,R(y,x,z)),(y * x) * z,u). R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). (x * R(y,z,y)) / (x * y) = R(R(y,z,y) / y,y,x). R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). x * y != K(x \ 1,z) | y = T(x \ 1,z). T(x \ 1,y * x) = T(x \ 1,x * y). x != T(y \ 1,y * z) | x = ((y \ 1) \ z) \ z. T(x \ 1,y * x) = ((x \ 1) \ y) \ y. T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). x * y != K(y \ 1,z) | x = T(1 / y,z). ((1 / x) \ y) \ y = T(1 / x,y * x). T(1 / x,y * x) = ((1 / x) \ y) \ y. T(1 / (x \ y),y) = ((1 / (x \ y)) \ x) \ x. x * K(y \ 1,x * y) = (1 / y) * (x / (1 / y)). (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). K(x,T((y \ z) \ 1,z) \ x) != u | K(x,y \ ((((y \ z) \ 1) \ y) * x)) = u. L(x,y,z) = L(x,T(y,x),z). L(x,T(y,x),z) = L(x,y,z). L(x,x \ y,z) = L(x,y / x,z). L(x,y / x,z) = L(x,x \ y,z). x != L(y,(z \ u) / y,z) | x = (z * ((z \ u) / y)) \ u. L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. K(x * (y \ z),y) = K(y \ (x * z),y). K(x \ (y * z),x) = K(y * (x \ z),x). K(x \ y,x) = K(z * (x \ (z \ y)),x). K(x * (y \ (x \ z)),y) = K(y \ z,y). x != K(y / z,y \ u) | x = K(z \ y,u / y). K(x / y,(x / y) \ z) = K(y \ x,(y * z) / x). x != K((1 / (1 / y)) * (y \ z),u) | x = K(z,u). K((x \ y) * x,1 / x) = K(y,1 / x). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). K(x * y,(x * y) \ y) = K(y * x,x \ 1). 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). x != (y * z) * (K(z,y) * u) | x = (z * y) * u. K(x,y) * ((y * x) * z) = (x * y) * z. (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). K(x,y) * ((x * y) * z) = (y * x) * z. (x * y) \ (K(x,y) * z) = (y * x) \ z. K(x,y) * z = (x * y) * ((y * x) \ z). (x * y) * ((y * x) \ z) = K(x,y) * z. K(x,y) * ((y * x) * T(z,x * y)) = z * (x * y). L(x \ (T(y,x) \ z),x,y) = (x * y) \ z. (x * y) \ (T(x,y) * R(T(z,x),u,w)) = (y * x) \ (R(z,u,w) * x). R((x * y) \ z,u,w) = L(R(x \ (T(y,x) \ z),u,w),x,y). L(R(x \ (T(y,x) \ z),u,w),x,y) = R((x * y) \ z,u,w). x != K(y,z / (((y \ u) * y) * w)) | x = K(y,z / (u * w)). K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). x != K(y \ z,(y \ z) \ u) | x = K(y \ z,z \ (y * u)). K(x \ y,z / y) = K(x \ y,y \ (x * (z / x))). K(x \ y,y \ (x * (z / x))) = K(x \ y,z / y). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). x * K(y \ z,(y * x) / z) = (z / y) * (x / (z / y)). K(x,y) * z != u * (x * y) | z = T(u * (y * x),K(y,x)). (x * y) * T(z,y * x) = T(z * (x * y),K(x,y)). T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). x != K(y,y \ ((y * z) / u)) | x = K(y,z / u). K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). K(x \ y,y \ (z * x)) = K(x \ y,(x * z) / y). K(x \ y,(x * z) / y) = K(x \ y,y \ (z * x)). T(x * (y * z),K(y,y * z)) = (y * z) * T(x,z * y). K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. x != K(L(y,z,u) \ 1,y) / R(L(y,z,u) \ 1,y,y \ 1) | x = L(y,z,u). 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. K(x \ 1,x) * (L(x \ 1,y,z) \ 1) = (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). x != L(K(y,z),T(z,u) * w,v5) | x = K(y,L(z,w,v5)). K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). x != K(L(y \ z,y,u),L(y,w,v5)) | x = K(u \ (y \ (u * z)),L(y,w,v5)). K(x \ y,L(x,z,u)) = K(w \ (x \ (w * y)),L(x,z,u)). K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). K((x * (y \ z)) / x,L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). R(a(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). K(T(x,y),T(x,y) \ (y \ z)) = K(x,T((x * y) \ z,y)). 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 != K(y,z * K(1 / z,u)) | x = T(K(y,z),u). T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). x != T(K(y,z),u / (1 / z)) | x = K(y,1 / (u / (u / (1 / z)))). T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). K(x,T(y,z)) = K(x,1 / (z / (z / (1 / y)))). K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). x * K(y \ z,z \ (x * y)) = (z / y) * (x / (z / y)). T(x,T(y * z,y)) = T(x,z * y). x != T(y,T(z * u,z)) | x = T(T(y,K(u,z)),z * u). T(x,y * z) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * z). x != T(y,T(z,u)) | x = T(y,u / (u / z)). T(x,y * z) = T(x,z / (z / (z * y))). T(x,y / (y / (y * z))) = T(x,z * y). T(x,T(y,z)) = T(x,(z \ y) * z). T(x,(y \ z) * y) = T(x,T(z,y)). T(x,T((y / z) * u,y / T(z,(y / z) * u))) = T(x,u * (y / z)). T(T(x,y * z),K(y,z)) = T(x,z * y). T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. T(x,y / (y / (y * z))) = x * K(x,z * y). T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. K(x,y / (y / (y * z))) = K(x,z * y). K(x,T(y * z,y)) = K(x,z * y). K(x,T(y * z,z)) = K(x,z * y). K(x / y,y * z) = K(y \ x,z * y). K(x / y,x * z) = K(y \ x,z * x). K(x,T(y,z)) = K(x,(z \ y) * z). K(x,(y \ z) * y) = K(x,T(z,y)). x * K(y,z * x) = K(y,x * z) * x. K(x,y * z) * y = y * K(x,z * y). T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). K(x,y * z) * K(x,z * y) = K(x,K(z,z * y)). K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. K(x,T(K(y,z) * u,y * z)) = K(x,((z * y) \ u) * (y * z)). K(x,T(y * z,z)) = K(z * y,x). K(x,T(y,z)) = K(x,z * (y / z)). K(x,y * (z / y)) = K(x,T(z,y)). K(x,T(y * z,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(z,y)) = K(y * x,z). K(x,T(y * z,z)) != u | K(x,z * y) = u. 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)) = K(z * (x / z),y). K(x * (y / x),z) = K(y,T(z,x)). K(x * y,T(z,u)) = K(y * x,T(T(z,y),u)). K(x * y,T(T(z,x),u)) = K(y * x,T(z,u)). x * 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,T(y,z)) = K((z \ x) * z,y). K((x \ y) * x,z) = K(y,T(z,x)). K(x * y,T(z,x)) = K(T(x,y) * y,z). K(T(x,y) * y,z) = K(x * y,T(z,x)). T(x * (y / x),z) = K(y,T(z,x)) * (x * (y / x)). K(x,T(y,z)) * (z * (x / z)) = T(z * (x / z),y). x != K(y,T(T(y,z),u)) | x = 1. K((x \ y) * x,T(y,z)) = 1. x != K(y,z * (y \ (z \ u))) | x = K(y,y \ u). K(x \ y,((y / x) \ (y \ z)) * y) = K(y / x,(y / x) \ z). x != K((y \ z) * y,T(z,u)) | x = 1. K(T(x \ y,x) * x,y) = 1. x * K(T(y \ z,y) * y,z) = x. K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. K(x,T(y * z,y)) != u | K(x,z * y) = u. K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. T(T(x,K(y,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(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. x != K(y,K(z,z * u)) | x = K(y,K(z,u)). K(x,y * z) * K(x,z * y) = K(x,K(z,y)). K(x,y * z) * K(x,K(z,y)) = K(x,z * y). K(x,y * z) * K(x,K(z,y)) != u | u = K(x,z * y). K(x,y * z) * K(x,K(z,y)) != u | K(x,z * y) = u. K(x,K(y,z)) * K(x,z * y) = K(x,y * z). K(x,((y / z) \ 1) * u) * K(x,K(u,z / y)) = K(x,u * ((y / z) \ 1)). K(x,K(y,z)) * K(y,z * x) = K(y,x * z). K(x,K(y,T(z,u))) * K(y,(u * (z / u)) * x) = K(y,x * (u * (z / u))). T(x,T(y,z)) * K(z,z \ x) = T(z * (x / z),y). T(x * (y / x),z) * K(x,x \ y) != u | u = T(y,T(z,x)). T(x * (y / x),z) * K(x,x \ y) != u | T(y,T(z,x)) = u. K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). x != K(y,T((y * z) \ u,z)) | x = K(y,y \ (u / z)). K(T(x,y),T(x,y) \ (y \ z)) = K(x,x \ (z / y)). K(x,T(T(x,y) \ (y \ z),y)) = K(x,x \ (z / y)). x != K(y,T(T(y,z) \ u,w)) | x = K(y,T(y \ u,w)). K(x,x \ (y / z)) = K(x,T(x \ (z \ y),z)). K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). K(x,T(x \ y,z)) = K(x,x \ ((z * y) / z)). K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). K(x,x \ T(y,z)) = K(x,T(x \ y,z)). x != K(y,y \ T(z,u)) | x = T((y \ z) * y,u) \ T(z,u). K(x,T(x \ y,z)) = T((x \ y) * x,z) \ T(y,z). T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. L(x,y * z,K(z,y)) = x. L(x,T(y,z),z) = L(x,y,z). x != y | x = L(y,z * u,K(u,z)). L(x,T(y,z),z) = L(L(x,y,z),u * w,K(w,u)). L(L(x,y,z),u * w,K(w,u)) = L(x,T(y,z),z). x != L(y,T(z,u),u) | x = L(y,z,T(u,z)). L(x,y,z) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). L(x,y \ z,y) = L(x,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,y,y \ z) = L(x,y,z / y). L(x,y,z / y) = L(x,y,y \ z). (x * y) * L(z,x,y) = T(y,x) * (x * z). L(x,y,K(z,T(u,y))) = L(x,y,K(z,u)). L(1 / (x / y),y \ x,y) \ 1 = 1 / ((y * (x / y)) \ y). x != L(y \ z,y,u / y) | x = u \ ((u / y) * z). L(x \ y,x,x \ z) = z \ ((z / x) * y). (x * (T(y,x) * z)) / L(z,y,x) = y * x. K(x,T(y * (T(z,y) * u),L(u,z,y))) != w | K(x,L(u,z,y) * (z * y)) = w. x * y != T(z,u) * (u * w) | ((u * z) * L(w,u,z)) / y = x. ((x * y) * L(R(x \ (T(y,x) \ (z * x)),u,w),x,y)) / x = T(y,x) * R(T(y,x) \ z,u,w). K(x,T(y,z)) * (z * u) = (z * K(x,y)) * L(u,z,K(x,y)). (x * K(y,z)) * L(u,x,K(y,z)) = K(y,T(z,x)) * (x * u). K(x,K(y,(y / z) * u)) * K(x,L(z \ u,z,z \ y)) = K(x,((y / z) * u) / y). L(x,T(y,z),z) != u | u = L(x,y,z). L(x,T(y,z),z) != u | L(x,y,z) = u. L(x,y \ z,y) != u | L(x,z / y,y) = u. L(x,y / z,z) != u | L(x,z \ y,z) = u. L(x,y,T(z,y)) != u | L(x,y,z) = u. T(x \ T(y,y \ x),x / y) != z | L(1 / (x / y),y \ x,y) = z. T(x,T(y,z)) = z * (T(x,y) / T(z,z \ x)). x * (T(y,z) / T(x,x \ y)) = T(y,T(z,x)). x != K(y,y \ (z \ (y * u))) | x = K(y,z \ u). K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). (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). x != K(y / z,L(z,u,w)) | x = K(z \ y,L(z,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). T(x,T((y / z) * u,y / T(z,(z \ y) * u))) = T(x,u * (y / z)). L(1 / (x / y),y \ x,y) = T((x \ y) \ 1,y) \ 1. (T((x \ y) \ 1,y) \ 1) \ 1 = 1 / ((y * (x / y)) \ y). T((((x \ y) \ 1) \ 1) \ 1,y) = 1 / ((y * (x / y)) \ y). T(1 / (x \ y),y) = 1 / ((y * (x / y)) \ y). 1 / ((x * (y / x)) \ x) = T(1 / (y \ x),x). 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 * ((y * z) \ y),z) = K((((y * z) \ y) \ 1) \ x,z). K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. x != K(((y \ z) \ 1) * u,T(z \ y,w)) | x = K((y \ z) \ u,T(z \ y,w)). K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). x != K(y,T(z \ u,z)) | x = K(y,u / z). K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). x != K(y * ((z \ u) \ 1),z / u) | x = K(((z \ u) \ 1) * y,z / u). K((x \ y) \ z,x / y) = K(((x \ y) \ 1) * z,x / y). K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,(z * (y * x)) \ ((z * y) * u)),y,z). L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). T(R(x,y,z),u / R(x,y,z)) = R(T(x,(u * (y * z)) / ((x * y) * z)),y,z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). K(x,y \ ((((y \ z) \ 1) \ y) * x)) = K(x,T(((y \ z) \ 1) \ x,z)). K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). x != K(y,T((z \ u) \ y,w)) | x = K(y,T(u \ (z * y),w)). K(x,y \ ((((y \ z) \ 1) \ y) * x)) = K(x,T(1 \ ((y \ z) * x),z)). 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)). x != K(y,z \ ((u \ z) * y)) | x = K(y,T(u \ y,z)). 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)). x != K(y \ (z \ (y * u)),L(z,w,v5)) | x = K(z \ u,L(z,w,v5)). K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). x != T(y,z / y) | x = T(y,y \ z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). L(T(x,x \ y),z,u) = T(L(x,z,u),L(x,z,u) \ y). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ y),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). (R(x,y,z) \ u) \ u = R(T(x,x \ u),y,z). R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). x != R(T(y,y \ z),u,w) | x = R((y \ z) \ z,u,w). (R(x,y,z) \ u) \ u = R((x \ u) \ u,y,z). R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. R(T(x,y),z,u) = (R(x,z,u) \ (x * y)) \ (x * y). (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). R(x \ y,z,u) = (R(y / x,z,u) \ y) \ y. (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. K(x,R(y \ x,z,u) \ w) = K(x,R(x / y,z,u) \ w). K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). (x * y) \ (x * (R(x,z,u) * y)) = R(T(x,R(x,z,u) * y),z,u). R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). x != (y * z) \ (y * (u * z)) | x = L(T(u,z),z,y). R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). x != L(R(T(y,z),u,w),z,y) | x = R(T(y,y * z),u,w). R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). K(x * y,R(x,z,u)) = K(R(x,z,u) * y,R(x,z,u)). K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). x != K(y * z,R(y,u,w)) | x = K(z * y,R(y,u,w)). K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). x != (L(y,z,u) \ w) / (L(T(y,v5),z,u) \ w) | x = K(L(y,z,u),v5). K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). 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(x \ y,R(x,z,u)) = K(R(x,z,u) \ y,R(x,z,u)). K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). K(x,y * L(x,y,z)) = K(L(x,y,z),x * T(y,x)). K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). K(x,x * y) = K(x,y * L(x,y,z)). K(x,y * L(x,y,z)) = K(x,x * y). L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). K(L(x,y,z),x * u) = K(L(x,y,z),u * L(x,u,w)). K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). L(K(L(x,y,z),x * y),y,z) = K(x,x * y). L(K(x,x * y),y,z) = K(x,x * y). K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). x != L(K(y,y * (z \ u)),z \ u,z) | x = K(y,z \ (u * y)). K(x,x * (y \ z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,x * (y \ z)). x != L(K(y,y * z),z,u) | x = K(y,u \ ((u * z) * y)). K(x,x * y) = K(x,z \ ((z * y) * x)). K(x,y \ ((y * z) * x)) = K(x,x * z). K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). K(x,y \ (x * z)) = K(x,x * (y \ z)). L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. x != K(y,y * z) | x = K(y,z * y). K(x,y \ ((y * z) * x)) = K(x,z * x). x != K(y,z \ ((z * u) * y)) | x = L(K(y,u * y),u,z). K(x,y * x) = L(K(x,y * x),y,z). L(K(x,y * x),y,z) = K(x,y * x). L(K(x,y * x),y,z) * u != K(x,y * x) | 1 = u. 1 = a(x,y,K(z,y * z)). a(x,y,K(z,y * z)) = 1. K(x,y * x) * z != L(K(x,y * x),y,u) | 1 = z. 1 = a(x,y,K(y * z,z)). a(x,y,K(y * z,z)) = 1. L(K(x * y,y),x,z) = K(x * y,y). a(x,y,K(z,y \ z)) = 1. L(K(x * y,y),x,z) = K(y * x,y). x != L(K(y * z,z),y,u) | x = K(u \ (z * (u * y)),z). K(x * y,y) = K(z \ (y * (z * x)),y). K(x \ (y * (x * z)),y) = K(z * y,y). L(K(x * y,x),y,z) = K(x * y,x). x != L(K(y * (z \ u),y),z \ u,z) | x = K(z \ (u * y),y). K(x * (y \ z),x) = K(y \ (z * x),x). K(x \ (y * z),z) = K(z * (x \ y),z). K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). K((x \ y) \ z,x) = K(x * (y \ z),x). K((x \ y) \ z,z) = K(z * (y \ x),z). 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. K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. K(L(x,y,z),x * (u \ w)) = K(L(x,y,z),u \ (w * x)). K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). x != K(L(y,z,u),w \ (y * L(K(y,v5),v6,v7))) | x = K(L(y,z,u),w \ y). K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). x != K(y \ (z * u),L(u,w,v5)) | x = K((z \ y) \ u,L(u,w,v5)). K(x * (y \ z),L(x,u,w)) = K((z \ y) \ x,L(x,u,w)). K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). x != K(L(y,z,u) \ w,L(y,z,u)) | x = K(y \ w,L(y,z,u)). K((x \ y) \ z,L(x,u,w)) = K(x \ ((x \ (L(x,u,w) \ y)) \ z),L(x,u,w)). K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K(y \ ((y \ z) \ u),L(y,w,v5)) | x = K(z \ u,L(y,w,v5)). K((x \ y) \ z,L(x,u,w)) = K((L(x,u,w) \ y) \ z,L(x,u,w)). K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K((y \ z) \ u,y) | x = K(y * (z \ u),y). K((x \ y) \ z,L(x,u,w)) = K(L(x,u,w) * (y \ z),L(x,u,w)). K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K((y \ z) \ u,L(y,w,v5)) | x = K(z \ (y * u),L(y,w,v5)). K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K((1 / x) \ y,L(x,z,u)) = K(x \ ((x \ (1 / L(x,z,u))) \ y),L(x,z,u)). K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K((1 / x) \ y,L(x,z,u)) = K((1 / L(x,z,u)) \ y,L(x,z,u)). K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). x != K((1 / y) \ z,y) | x = K(y * z,y). K((1 / x) \ y,L(x,z,u)) = K(L(x,z,u) * y,L(x,z,u)). K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). x != K((y / z) \ u,L(z,w,v5)) | x = K(y \ (u * z),L(z,w,v5)). K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). x != K((y \ z) * L(u,w,v5),L(u,w,v5)) | x = K(y \ (u * z),L(u,w,v5)). K((x \ y) * z,L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). 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)). x != K(y \ (z * u),L(z,w,v5)) | x = K((z \ y) \ u,L(z,w,v5)). K((x \ y) * z,L(z,u,w)) = K((z \ x) \ y,L(z,u,w)). K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). x != K(y \ (z * u),L(z,w,v5)) | x = K(y \ (u * z),L(z,w,v5)). K((x \ y) * z,L(z,u,w)) = K(x \ (y * z),L(z,u,w)). K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). x != K((y \ z) \ (u * w),L(u,w,y)) | x = K(z \ (y * (u * w)),u). K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). x != K(y \ (z * u),L(u,w,v5)) | x = K((y / u) \ z,L(u,w,v5)). K((x \ y) * z,L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). x != (y \ ((y * z) / y)) \ z | x = (y \ z) \ T(z,y). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). R((x \ y) \ T(y,x),z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). 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)). T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(T(x * K(x \ u,x),u),y,z). R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). R(L(x,x \ y,x),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). x != K((y / (z * y)) \ 1,u) | x = K(z,u). K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). x != K((y / (z * y)) \ 1,u) | x = T(K(T(z,y),u),y). K(x,R(x \ 1,x,y) * z) = T(K(T(x,y),z * (y / (x * y))),y). T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). 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)). ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). K((x \ y) / (x \ 1),1 / x) = K((y / x) / (x \ 1),1 / x). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). x != K(y / (z \ 1),u) | x = K(y / (1 / z),u). 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) | x = K(z,1 / y) / y. (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). x / (x / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. 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)). R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). x != T(y,K(z,u / z) / (u \ z)) | x = T(y,1 / (z / u)). (((x / (1 / (x \ y))) / x) \ 1) \ 1 = T((x / (1 / (x \ y))) / x,1 / (y / x)). T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | z = (x / ((x \ y) \ 1)) / x. T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | (x / ((x \ y) \ 1)) / x = z. R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). 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). L(K(x,y),R(x,z,u),w) = K(x,y). K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. 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). R(K(x,y),z * u,w) = R(K(x,y),z * (K(v5,y) * u),w). R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). K(x,y / ((z * u) * w)) = K(x,y / ((z * (K(v5,x) * u)) * w)). K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). x != K(y,(z * (K(u,y) * w)) \ (z * (w * v5))) | x = K(y,L(v5,K(u,y) * w,z)). 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))). x != R(K(y,z),u * (K(w,z) * y),v5) | x = K(R(y,K(w,z) * u,v5),z). R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). x != R(K(y,z),u * y,w) | x = K(R(y,u,w),z). K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). 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)). K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). K(x,L(y,z,u)) = K(x,L(y,K(x,w) \ z,u)). K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). (x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x). K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). x != (y \ 1) / (y \ K(y,z)) | x = K(z,y). K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). K(L(x,y,z),u) = K(L(x,T(y,u),z),u). K(L(x,T(y,z),u),z) = K(L(x,y,u),z). x != K(L(y,T(z * (y \ u),z),w),z) | x = K(y,L(R(z,y \ u,z),u,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). (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). x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). K(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). L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). ((x * y) * R((x * y) \ (z * x),u,w)) / x = T(y,x) * R(T(y,x) \ z,u,w). (x * (y * R(y \ (x \ (z * x)),u,w))) / x = T(y,x) * R(T(y,x) \ z,u,w). (x * (y * R(y \ T(z,x),u,w))) / x = T(y,x) * R(T(y,x) \ z,u,w). T(x * R(x \ T(y,z),u,w),z) = T(x,z) * R(T(x,z) \ y,u,w). (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 \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). R(x,y,x) * (x \ K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). x != R(y,z,u) * (y \ K(w,T(y,v5))) | x = T(y,T(w,v5)) \ R(y,z,u). (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). x != (y \ R(y,z,y)) * T(K(z,y),u) | x = K(z * y,y) * K(z,K(y,u)). T(x,T(y,z)) \ R(x,y,x) = K(y * x,x) * K(y,K(x,z)). K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). 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,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). x != T(y,T(z * y,u)) * K(z,T(y,u)) | x = L(y,T(z \ 1,u) \ 1,y). L(x,y,x) = L(x,T(y \ 1,z) \ 1,x). L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). T(x,T(x * y,z)) * K(y,T(x,z)) = L(x,y,x). x != L(y,T((z \ 1) \ 1,u) \ w,v5) | x = L(y,T(z,u) \ w,v5). L(x,y \ 1,x) = L(x,T(y,z) \ 1,x). L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). L(x,(y \ z) \ 1,x) = L(x,(z / y) \ 1,x). L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). x != T(y,z) * K(u,T(y,w)) | x = K(u,T(y,w)) * T(y,z). L(x,y,x) = K(y,T(x,z)) * T(x,T(x * y,z)). K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). x != L(y,z,u) | x = (y \ L(y,z,u)) * y. K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). L(K(x * y,T(x,z)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). K((x / (x * y)) \ z,z) = K(x \ (z * (x * y)),z) * K(x,K(z,y)). K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). K(x * y,y) * K(z,K(y,x)) = K((z / (z * x)) \ y,y). K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). x != K(y * z,y) * K(u,K(y,z)) | x = K(y * z,T(y,u)). K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). K((x / y) \ z,z) = K(z * (x \ y),T(z,x)). K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). x != K(y * z,T(y,u)) | x = K(z * y,T(y,u)). K((x / y) \ z,z) = K((x \ y) * z,T(z,x)). K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). x != K((y \ z) * u,T(u,y)) | x = K(z / y,u) * a(u,y \ z,u). K((x / y) \ z,z) = K(y / x,z) * a(z,x \ y,z). K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). x != K(y,z) * K(u,y) | x = T(y,u) \ T(y,z). a(x,y \ z,x) = T(x,(y / z) \ x) \ T(x,z / y). T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). a(x,y \ z,x) = T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)). T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). x != T(y,z \ y) \ ((y \ (z \ y)) \ (z \ y)) | x = a(y,z \ 1,y). a(x,y \ z,x) = a(x,(y / z) \ 1,x). a(x,(y / z) \ 1,x) = a(x,y \ z,x). a(x,y \ 1,x) = a(x,(y * z) \ z,x). a(x,(y * z) \ z,x) = a(x,y \ 1,x). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). x != L(K(y,T(z,u)),K(z,w),v5) | x = K(y,T(z,u)). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). x != K(y,T(y * K(z,u),z)) | x = K(y,y * K(z,u)). K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). x != K(y,T(z / u,z) \ z) * K(u,y) | x = K(z * K(y,u),z). K(x,x * K(y,z)) = K(x * K(z,y),x). K(x * K(y,z),x) = K(x,x * K(z,y)). T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). (x / 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(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). R(x,x \ 1,y \ R(y,x \ 1,y)) = x. R(x,x \ 1,a(y,x \ 1,y)) = x. x \ a(y,x \ 1,y) = (x \ 1) * a(y,x \ 1,y). (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). (x \ T(x * (y \ 1),x)) * R(T(y \ a(x,y \ 1,x),x) \ 1,z,u) = T((y \ a(x,y \ 1,x)) * R((y \ a(x,y \ 1,x)) \ 1,z,u),x). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). x != (y * (K(z,u) * w)) \ (y * w) | x = L(K(u,T(z,w)),w,y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). K(x,y) = L(K(x,y),L(y,z,u),w). L(K(x,y),L(y,z,u),w) = K(x,y). L(K(x,y),L(y,z,u),w) * v5 != K(x,y) | 1 = v5. 1 = a(x,L(y,z,u),K(w,y)). a(x,L(y,z,u),K(w,y)) = 1. K(x \ L(y,z,u),y) = K((x \ 1) * L(y,z,u),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). (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)). R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). x != R(K(y,z) * R(K(z,y),u,w),K(z,y),u * w) | x = ((K(z,y) * u) * w) / (K(z,y) * (u * w)). K(x,y) * R(K(y,x),z,u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). ((K(x,y) * R(K(y,x),z,u)) * K(y,w)) \ (((K(x,y) * R(K(y,x),z,u)) * K(y,w)) * v5) = L(v5,K(y,w),R(K(x,y) * R(K(y,x),z,u),K(y,w),v5)). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). x != T(K(y,z) \ u,K(y,z)) | x = u * K(z,y). 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). x != K(L(y,z,u),L(y,z,u) \ w) | x = K(L(y,z,u),y \ w). K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)). K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(y,(z * (u / y)) \ w) | x = K(y,y * ((z * u) \ w)). K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)). K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(y,(z * (1 / u)) \ w) | x = K(y,(z * (u \ 1)) \ w). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). x != K(L(y,z,u),(w * (y \ v5)) \ v6) | x = K(L(y,z,u),y * ((w * v5) \ v6)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). x != K(y \ 1,y) * (z \ 1) | x = z \ K(y \ 1,y). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). x * y != (z \ 1) * (L(z \ 1,u,w) \ z) | x \ (L(1 / z,u,w) \ 1) = y. (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. 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). (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). (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). x != (K(y,T(z,u)) * K(z,w)) \ v5 | x = K(z,T(y,u)) * (K(w,z) * v5). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). (x * K(y,z)) * (K(z,y) * L(K(y,z),u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). x != (y * K(z,u)) * (K(u,z) * L(K(w,u),v5,v6)) | x = y * L(K(w,u),v5,v6). (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)). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). K(x,y) = R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z). R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). R(K(x,y),L(y,z,u),w) = K(x,y). x != R(K(y / (z / u),w),y,u) | x = K((y * u) / z,w). K(L(x,y,z) / (u / w),x) = K((L(x,y,z) * w) / u,x). K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). x != K(L(y,z,u) / w,y) | x = K(w \ L(y,z,u),y). K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). x != K((L(y,z,u) * w) / v5,y) | x = K((((L(y,z,u) \ v5) \ w) \ w) \ w,y). K((x / y) \ L(z,u,w),z) = K((((L(z,u,w) \ x) \ y) \ y) \ y,z). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). x != a(1 / (y * z),y,z) \ T((1 / (y * z)) * y,z) | x = z \ 1. (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. K(R(x \ y,z,u),w \ (x \ y)) = K(R(x \ y,z,u),w \ (y / x)). K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). K(R(x \ (x * y),z,u),w * K(x,y)) = K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (K(x,y) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. K(x,y) * (K(z,y) * u) = (K(z,y) * K(x,y)) * u. (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). ((x * y) / x) \ (y * (K(x,y) * z)) = L(z,T(y,u) \ ((x * y) / x),T(y,u)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). x != ((y * z) / y) \ (z * u) | x = K(z,y) * u. L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. L(x,K(y,z) * K(u,z),T(z,u)) = x. K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). x != (L(y,z \ u,z) * u) \ (y * u) | x = a(z,z \ u,T(y,u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). (x * (y * z)) \ (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))). T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. 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. R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). x != K(y,z / ((u * (K(w,y) * v5)) * v6)) | x = K(y,z / ((u * v5) * v6)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). x != K(y,z \ (y * u)) | x = K(y,y * (z \ u)). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). x != T(y \ 1,z * y) * L(T(y \ 1,y * z) \ 1,u,w) | x = T(y \ L(y,u,w),z * y). T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). x != K(L(y,z,u),L(y,z,u) * (w \ v5)) | x = K(L(y,z,u),y * (w \ v5)). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). x != K(L(y,z,u),y * (w \ L(K(y,v5),v6,v7))) | x = K(L(y,z,u),w \ y). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). (x * K(L(y,z,u),w \ y)) \ x = K(w \ L(y,z,u),L(y,z,u)). K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). x \ T(L(y,z,u) * x,L(y,z,u)) = L(T(y * K(y * x,y),x),z,u). L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). L(R(x,y,x),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. x * R(y,z,y) = x * R(y,z,L(y,x,u)). x * R(y,z,L(y,x,u)) = x * R(y,z,y). R(x,y,x) = R(x,y,L(x,z,u)). R(x,y,L(x,z,u)) = R(x,y,x). x != R(y,z,y) | x = T(y * K(z * y,y),z). R(x,y,L(x,z,u)) = T(x * K(y * x,x),y). T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). (x * T(y,z)) \ (x * R(y,z,y)) = K(z * L(y,u,w),y). K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). x != (y * T(z,u)) \ (y * R(z,u,z)) | x = K(z * u,z). K(x * L(y,z,u),y) = K(y * x,y). x != K(y * z,y) | x = K(z,y) * a(y,z,y). K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). x != K((y \ 1) * L(z,u,w),z) | x = K(y \ L(z,u,w),z). K(x * (y \ 1),x) = K(y \ L(x,z,u),x). K(x \ L(y,z,u),y) = K(y * (x \ 1),y). K(x \ L(y,z,u),y) = K(x \ y,y). K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). x != K((y \ z) \ L(u,w,v5),u) | x = K(z \ (y * L(u,w,v5)),u). K((x \ y) \ z,z) = K(y \ (x * L(z,u,w)),z). K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. x != K((y \ z) \ u,u) | x = K(u * (z \ y),u). K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). x != K((y \ z) \ z,z) | x = K(y,z). K(x \ (y * L(x,z,u)),x) = K(y,x). K(x \ y,x) = K(y / L(x,z,u),x). K(x / L(y,z,u),y) = K(y \ x,y). K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). x != K(y \ (z * (u * w)),w) | x = K(y \ (z * (w * u)),w). K(x * (y \ (z * u)),x) = K(y \ (z * (x * u)),x). K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). x != K(y \ (z * (u * w)),u) | x = K(((z \ y) \ w) * u,L(u,w,z)). K(x * (y \ (z * u)),x) = K(((z \ y) \ u) * x,L(x,u,z)). K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). K(x \ (y * z),u) = K(x \ (u \ (y * (z * u))),u). K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). x != K((y * z) \ (u \ (y * ((z * w) * u))),u) | x = K(L(w,u * z,y),u). K((x * y) \ (x * (y * z)),u) = K(L(z,u * y,x),u). K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). K(L(x,y * z,u),y) = K(L(x,z,u),y). K(x,L(y,z,u)) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = K(x,L(u,y,z)). L(K(x,y),z,u) = K(x,L(y,z,u)). K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. K(L(x,y,z),u) = K(x,L(u,y * x,z)). K(x,L(y,z * x,u)) = K(L(x,z,u),y). x != K(y,L(z,u,w)) | x = L(K(y,z),z * u,w). L(K(x,y),z,u) = L(K(x,y),y * z,u). L(K(x,y),y * z,u) = L(K(x,y),z,u). x != K(y,L(z \ u,z,w)) | x = L(K(y,z \ u),u,w). L(K(x,y \ z),y,u) = L(K(x,y \ z),z,u). L(K(x,y \ z),z,u) = L(K(x,y \ z),y,u). x != K(y,L(z,u,w)) | x = L(K(y,z),u * z,w). L(K(x,y),z,u) = L(K(x,y),z * y,u). L(K(x,y),z * y,u) = L(K(x,y),z,u). L(K(x,y),z,u) = K(L(y,z,u),x). x != L(K(y,z),u,w) | x = L(K(z,y),u,w). K(x,L(y,z,u)) = L(K(y,x),z,u). L(K(x,y),z,u) = K(y,L(x,z,u)). L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). L(K(x,T(y,z) \ u),T(y,z),z) = K(x,(y * z) \ (z * u)). (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). L(K(x,y / z),u,w) = K(x,L(T(z \ y,y),u,w)). K(x,L(T(y \ z,z),u,w)) = L(K(x,z / y),u,w). 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)). ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). K(L(x,y,z),u) = L(K(x,u),y,z). L(K(x,y),z,u) = K(L(x,z,u),y). L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). x != L(K(y,z),u,w) | x = K(L(z,u,w),y). K(x,L(y,z,u)) = K(L(x,z,u),y). K(L(x,y,z),u) = K(x,L(u,y,z)). T(x,L(y,z,u)) = L(K(y,x),z,u) * x. L(K(x,y),z,u) * y = T(y,L(x,z,u)). L(K(x,y),z,u) * y != w | T(y,L(x,z,u)) = w. L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. x != K(L(y,z,u),w) | x = L(K(y,w),y * z,u). L(K(x,y),z,u) = L(K(x,y),x * z,u). L(K(x,y),x * z,u) = L(K(x,y),z,u). x != K(L(y,y \ z,u),w) | x = L(K(y,w),z,u). L(K(x,y),x \ z,u) = L(K(x,y),z,u). L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). L(K(x,y),x \ z,u) != w | L(K(x,y),z,u) = w. (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. x != K(L(y,z,u),w) | x = K(y,L(w,z,u)). K(x,L(y,z * x,u)) = K(x,L(y,z,u)). L(K(x * y,x),y,z) != u | K(x * y,x) = u. L(K(x,x * y),y,z) != u | K(x,x * y) = u. K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). K(L(x,y,z),u) != w | L(K(u,x),y,z) = w. K(x,y \ (T(z,z \ y) * u)) != w | L(K(x,(y / z) \ u),z \ y,z) = w. K(x,K(y,L(z,u,w))) != v5 | L(K(x,K(y,z)),u,w) = v5. L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. L(K(x,(y \ z) \ u),y \ z,y) != w | K(x,z \ (y * u)) = w. L(K(x,y \ (z \ u)),y,z) != w | K(x,(z * y) \ u) = w. x != K(y,T(L(z \ u,z,w),w * z)) | x = K(y,(w * u) / (w * z)). L(K(x,T(y \ z,u * y)),y,u) = K(x,(u * z) / (u * y)). K(x,y) * K(L(y,z,u),x) != w | w = a(u,z,K(x,y)). K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. x != K(y,L(z,u,w)) * K(z,y) | x = a(w,u * z,K(z,y)). a(x,y,K(z,u)) = a(x,y * z,K(z,u)). a(x,y * z,K(z,u)) = a(x,y,K(z,u)). 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)). a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). x / L(K(y,z),u,w) = T(L(K(y,z),u,w) \ x,K(y,L(z,u,w))). T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). x != K(y,z) * K(L(z,u,w),y) | x = a(w,u * z,K(y,z)). a(x,y,K(z,u)) = a(x,y * u,K(z,u)). a(x,y * z,K(u,z)) = a(x,y,K(u,z)). K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. (x * y) * K(z,(x * y) \ u) != w | x * (y * K(z,y \ (x \ u))) = w. K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. K(x,T(y \ (z * u),u)) = L(K(x,u / (z \ y)),z \ y,z). L(K(x,y / (z \ u)),z \ u,z) = K(x,T(u \ (z * y),y)). a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. L(K(x,y \ z),y,u) != w | K(x,(u * y) \ (u * z)) = w. L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). L(K(x,T(y,z) \ u),y,z) = K(x,(y * z) \ (z * u)). (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))). L(K(x,T(y \ z,y * T(u,w))),y,T(T(u,y),w)) = K(x,(T(T(u,y),w) * z) / (T(T(u,y),w) * y)). K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). x != K((y / z) \ u,L(z,w,v5)) | x = K((y \ u) * z,L(z,w,v5)). K(((x \ y) / z) \ y,z) = K(((x \ y) \ y) * z,L(z,x \ y,x)). K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). x != y / L(K(z,u),w,v5) | x = y * L(K(u,z),w,v5). T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. (L(x,y,z) * K(u,x)) * u = (x \ (L(x,y,z) * u)) * x. (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. x != (y * K(z,u)) * z | x = y * T(z,u). (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). x != y \ (z * T(y,u)) | x = T(z * K(y,u),y). (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). x * (y * K(z,y \ (x \ y))) = K(z,x \ 1) * (x * y). x * (K(y,x \ 1) * z) = K(y,x \ 1) * (x * z). K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). x \ (K(y,x \ 1) * z) = K(y,x \ 1) * (x \ z). T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(T(x * K(x * u,x),u),y,z). R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,x),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). x != R(y,z,L(y,u,w)) | x = R(y,z,y). R(R(x,y,x),z,u) = R(R(x,z,u),y,R(x,z,u)). R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). R(R(x,y,x),z,u) * (z * u) = (R(x,y,R(x,z,u)) * z) * u. (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. (R(T(x,y),z,R(x,u,w)) * u) * w = (R(T(x,y),z,T(x,y)) * u) * w. (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). K(x,y) \ (y * a(z,u,K(x,y))) = L(K(x,y),u,z) \ T(y,K(x,y)). L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). x != K((y \ z) \ u,L(y,w,v5)) | x = K((z \ u) * y,L(y,w,v5)). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). K(L(x,y,z),u) * K(u,x) = x \ (x * a(z,y,K(x \ u,x))). x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). x != K(y,L(z,u,w)) * K(z,y) | x = a(w,u,K(z,y)). x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). a(x,y,K(z,u)) = a(x,y,K(u \ z,u)). a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(u * z,u)). a(x,y,K(z * u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(z * u,u)). a(x,y,K(z * u,u)) = a(x,y,K(z,u)). a(x,y,K(z,z \ u)) = a(x,y,K(u,z \ u)). a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). a(x,y,K(z \ (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)). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). a(x,y,K(z,z * u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) = a(x,y,K(z,z \ u)). a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). a(x,y,K(z,u \ z)) = a(x,y,K(z,u \ 1)). a(x,y,K(z,u \ 1)) = a(x,y,K(z,u \ z)). x != a(y,z,K(u,u \ w)) | x = a(y,z,K(w,u \ w)). a(x,y,K(z,u)) = a(x,y,K(u,z \ u)). a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). a(x,y,K(z,u \ z)) = a(x,y,K(z,u)). x != a(y,z,K(u,w \ u)) | x = a(y,z,K(u,w)). a(x,y,K(z,u \ 1)) = a(x,y,K(z,u)). a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). x != K(((y \ z) \ u) * w,L(w,u,y)) | x = K(w * (z \ (y * u)),w). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). K(x * (y \ (z * u)),x) = K(((z \ y) \ u) * x,L(x,z \ y,z)). K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). x != K(((y \ z) \ z) * u,L(u,y \ z,y)) | x = K(((y \ z) / u) \ z,u). K(x * (y \ (z * y)),x) = K(((z \ y) / x) \ y,x). K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). K(x * ((y \ z) \ z),x) = K(x * T(y,z),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)). x != K(y,z) \ (z * u) | x = T(z,y) * u. L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). T((x * K(y,x)) * (K(y,x) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). T(x * K(y,x),x \ K(x,y)) \ T(x,z) = T(x,z) * T(x \ K(x,y),(x \ K(x,y)) \ 1). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),x) = ((x \ 1) \ K(z,x)) \ T(x,y). ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). (x \ K(x,y)) * T(x,z) = ((x \ 1) \ K(y,x)) \ T(x,z). ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). 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)). 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)). 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)). 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)). x != R(y,K(z,u),K(w,z)) | x = y. 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(x,K(y,z) * K(u,y)) = T(T(x,K(y,u)),K(y,z)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). x != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,w) * K(u,z)). T(x,K(y,z) * K(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)). T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). T(T(x,R(K(y,z),u,w)),K(z,v5)) = T(x,K(z,v5) * K(R(y,u / y,w),z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). K(x,K(y,z) * K(u,y)) = K(K(y,u) * K(z,y),x). K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). K(x,K(y,z) * K(z,u)) = K(x,K(z,y) * K(u,z)). K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). x * y != K(z,K(u,w) * K(w,v5)) | K(K(w,u) * K(v5,w),z) / y = x. K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. K(K(x,y) * K(y,z),u) = K(u,K(y,x)) * K(u,K(y,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). x != K(K(y,z) * K(z,u),w) | x = K(w,K(z,y) * K(u,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). K(x,K(y,z)) * K(x,R(K(y,u),w,v5)) = K(K(z,y) * K(y,(w * v5) / ((u \ w) * v5)),x). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). x != K(y,K(z,u)) * w | x = K(u,v5) * (K(z,K(u,y)) * (K(u,v5) \ w)). K(x,K(y,z) * K(u,y)) = K(z,w) * (K(y,K(z,x)) * (K(z,w) \ K(x,K(y,u)))). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(y,z) * K(u,y),x) = w. K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. x != K(y,K(z,u) * K(w,z)) | x = K(y,K(u,z) * K(z,w)). K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. x != T(T(y,K(z,u)),K(u,w)) | x = T(y,K(z,u) * K(u,w)). T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(x,K(y,z) * K(z,R(y,u,w))). x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). K(x,K(y,z) * K(z,R(y,u,w))) = K(x,K(y,R(z,u,w)) * K(z,y)). K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). x != T(y,K(z,u) * K(w,z)) | x = T(y,K(z,w) * K(u,z)). T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,R(u,w,v5)) * K(z,y)). T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). x != y / (K(z,u) * K(u,w)) | x = y * (K(w,u) * K(u,z)). 1 / T(K(x,y) * K(y,z),u) = K(K(y,x) * K(z,y),u) * (K(z,y) * K(y,x)). K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). x != K(y * z,u) * (z * y) | x = K(z,y) * T(y * z,u). 1 / T(K(x,y) * K(y,z),u) = K(K(z,y),K(y,x)) * T(K(y,x) * K(z,y),u). K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). 1 * T(K(x,y) * K(z,x),u) = 1 / T(K(y,x) * K(x,z),u). 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). 1 / T(K(x,y) * K(y,z),u) = T(K(z,y) * K(y,x),u). 1 / T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u). T(K(x,y) * K(y,z),u) \ 1 != w | w = T(K(y,x) * K(z,y),u). T(K(x,y) * K(y,z),u) \ 1 != w | T(K(y,x) * K(z,y),u) = w. K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(K(u,z) * K(z,w),y). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y,R((z * u) / z,w,v5)) | x = T(y,R(z / (z / u),w,v5)). ((R((x * y) / x,z,y) \ y) \ y) \ u = T((u / R(y,z,y)) * K(y,x),R(x / (x / y),z,y)). T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y,R(z / (z / u),w,u)) | x = T(y,z / (z / u)). ((R((x * y) / x,z,y) \ y) \ y) \ u = T((u / R(y,z,y)) * K(y,x),x / (x / y)). T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y * K(z,u),u / (u / z)) | x = ((u * z) / u) \ (y * z). ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). x != ((y * z) / y) \ (z * u) | x = T(z,y) * (z \ u). ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). R(x * K(y,x),z,x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),T(x,w),y). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). x != L(y,z,u) * L(L(y,z,u) \ 1,w,v5) | x = L(y * L(y \ 1,w,v5),z,u). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). x != K(R(y,z,u),w * K(v5,y)) | x = K(R(y,z,u),w). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). (x * L(y,x,y)) / T(T(x,L(y,z,u)),y) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). x != (y * L(z,u,z)) / T(T(y,z),w) | x = K(w,y) * L(z,u,z). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). x != K(y,z) * L(y,u,y) | x = L(T(y,z),u,y). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). x != T(y,z * y) * a(u,w,K(z,y)) | x = L(K(z * y,y),w,u) \ T(y,K(z * y,y)). L(T(x,L(y,z,u)),y,x) = L(K(y * x,x),z,u) \ T(x,K(y * x,x)). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ y = L(T(y,L(x,z,u)),x,y). L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). (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)). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). x != (1 / y) * R(y,z,u) | x = y \ R(y,z,u). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). x != T(a(y,z,u),y) | x = a(y,z,u). (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = a(x,y,z). a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. a(x,y,z) = (a(x,y,z) \ 1) \ 1. (a(x,y,z) \ 1) \ 1 = a(x,y,z). 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 != T(y,R(z \ K(u,u \ 1),w,v5)) | x = T(y,R(z \ 1,w,v5)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). x != T(y,R((z \ 1) \ 1,u,w)) | x = T(y,R(z,u,w)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(z \ 1,u),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). x != ((y \ z) \ z) \ R((y \ z) \ z,u,R(y,w,v5)) | x = a(y,u,R(y,w,v5)). 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)). x != y \ R(y,z,R(y,u,w)) | x = a(y,z,R(y,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). x != a(T(y,z),T(y,z) \ u,R(y,w,v5)) | x = a(y,y \ u,R(y,w,v5)). a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. (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)). 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)). x != y \ (K(z \ 1,z) * u) | x = (y \ u) * K(z \ 1,z). 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). ((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 != K(y,K(z,u)) * (K(y,z) * w) | x = K(y,T(z,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). ((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)). x != T(y,y * K(z,u)) \ T(K(u,z) * y,y) | x = K(u,T(z,y)). K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). K(x,y / (z * (x \ u))) = K(x,T((z * u) \ (y * x),z * u)). K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). K(x,((y * z) / u) \ x) = K(x,u / (y * (x \ z))). K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). x != R(K(y,(z / (u / w)) \ y),w \ u,w) | x = K(y,u / ((y \ z) * w)). K(x,y / ((z * (x \ u)) * w)) = K(x,y / ((x \ (z * u)) * w)). K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). K(x,(((y * z) * u) / w) \ x) = K(x,w / ((y * (x \ z)) * u)). K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). x != K(y,(z * u) / ((w * (y \ z)) * u)) | x = R(K(y,w \ y),z,u). K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,y),z,u) = K(x,R(y \ x,z,u) \ x). K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). R(K(x,x * y),z,u) = K(x,R(y \ 1,z,u) \ x). K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). x != K(y,R(z \ 1,u,w) \ v5) | x = K(y,R(1 / z,u,w) \ v5). R(K(x,x * y),z,u) = K(x,R(1 / y,z,u) \ x). K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). R(R(K(x,y),z,u),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). a(x,y,z * K(u \ 1,u)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). a(x,y,z * K(u \ 1,u)) = a(x,y,z). a(x,y,z \ 1) = a(x,y,1 / z). a(x,y,1 / z) = a(x,y,z \ 1). a(x,y,z) = a(x,y,K(u,u \ 1) * z). a(x,y,K(z,z \ 1) * u) = a(x,y,u). x != y | x = (y * K(z,u)) * K(u,z). a(x,y,K(z,z \ 1) * u) = (a(x,y,u) * K(w,v5)) * K(v5,w). a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). a(x,y,K(z,z \ 1) * u) = (((x * (y * u)) \ ((x * y) * u)) * K(w,v5)) * K(v5,w). a(x,y,K(z,z \ 1) * u) != w | w = a(x,y,u). a(x,y,K(z,z \ 1) * u) != w | a(x,y,u) = w. a(x,y,K(z,z \ 1) * u) = ((x * (K(w,w \ 1) * (y * u))) \ ((x * y) * u)) * K(w,w \ 1). a(x,y,K(z,z \ 1) * u) = ((x * (y * (K(w,w \ 1) * u))) \ ((x * y) * u)) * K(w,w \ 1). a(x,y,z) = ((x * (y * (K(u,u \ 1) * z))) \ ((x * y) * z)) * K(u,u \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,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) | x = z / y. R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. R(1 / (x / y),x / y,x * (y / x)) = y / x. ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). T(x / y,(x / y) \ (1 / (y / x))) = x / y. x != T(y,z \ (1 / u)) | x = T(y,z \ (u \ 1)). x / y = T(x / y,(x / y) \ ((y / x) \ 1)). T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). (L(x,y,y \ 1) \ (y * x)) \ 1 = 1 / R(T(y,x),y \ 1,x * y). 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). x != ((L(y,z,z \ 1) \ (z * y)) \ 1) \ 1 | x = ((z \ 1) * (z * y)) \ (z * y). R(T(x,y),x \ 1,y * x) = ((x \ 1) * (x * y)) \ (x * y). ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). L(T(x,y),z,u) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). x != L(T(y,z),u,w) \ (L(y,u,w) * v5) | x = K(z,L(y,u,w)) * v5. T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). x != K(y,z) * (y * u) | x = T(y,z) * u. T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). x != T(y * K(z,u),L(T(z,y),w,v5)) | x = T(y * K(z,u),L(z,w,v5)). T(x,L(y,z,u)) * K(y,w) = T(x * K(y,w),L(y,z,u)). T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). x != T(y,L(z,u,w)) * K(z,y) | x = y * a(w,u,K(z,y)). T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). x != L(T(y,L(z,u,w)),z,y) | x = T(y,L(z * y,u,w)). T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). x != K(y,K(z,L(u,w,K(y,v5)))) | x = K(z,K(y,u)). K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(z,u \ (z \ w))) | x = K(y,K(z,u \ w)). K(x,K(y * z,a(y,z,u))) = K(x,K(y * z,u \ L(u,z,y))). K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). x != (y * z) \ T(z * y,u) | x = K(z,y) * K(z * y,u). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). x != K(y,K(z,u)) * K(y,K(u,w)) | x = K(y,K(z,u) * K(u,w)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). x != (y * z) \ K(u,z * y) | x = T(y * z,T(u,y)) \ 1. K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,u) * K(y,x),T(z,K(x,u))) \ 1. T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). T(K(x,y) * K(z,x),u) = K(x,T(y,u)) * K(z,T(x,u)). K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). T(K(x,y) * K(z,x),u) * w = K(x,T(y,u)) * (K(z,T(x,u)) * w). K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. x != K(y,T(z,u)) * (K(z * R(y,w,v5),T(y,u)) * v6) | x = R(T(y,u),z,R(y,w,v5)) * (T(y,u) \ v6). T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). 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. K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. K(x,y) * (L(K(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). (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,y \ R(y,z,y),y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). x != (y * (z \ R(z,u,z))) * (z \ L(z,u,z)) | x = y. R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. R(x,a(y,z,y),y \ L(y,z,y)) = x. R(x,a(y,z,y),a(y,z,y) \ 1) = x. x * y != R(z,a(u,w,u),a(u,w,u) \ 1) | z / y = x. x / (a(y,z,y) \ 1) = x * a(y,z,y). x / (y \ L(y,z,y)) = x * a(y,z,y). x / a(y,z,y) = x * (y \ L(y,z,y)). x * (y \ L(y,z,y)) = x / a(y,z,y). x != y * (z \ L(z,u,z)) | x = (y / R(z,u,z)) * z. x / a(y,z,y) = (x / R(y,z,y)) * y. (x / R(y,z,y)) * y = x / a(y,z,y). x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. x / y = (x * a(y,z,y)) / R(y,z,y). (x * a(y,z,y)) / R(y,z,y) = x / y. (x / y) * R(y,z,y) = x * a(y,z,y). x != (y / z) * R(z,u,z) | x = R(z,u,z) * (z \ y). x * a(y,z,y) = R(y,z,y) * (y \ x). R(x,y,x) * (x \ z) = z * a(x,y,x). x * R(y,z,y) = (x * y) * a(y,z,y). (x * y) * a(y,z,y) = x * R(y,z,y). (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). R(x,y,x) * z = (x * z) * a(x,y,x). (x * y) * a(x,z,x) = R(x,z,x) * y. x * (y * a(x,z,x)) = R(x,z,x) * y. a(x,y,x) * (z * x) = z * R(x,y,x). x * y != (z * u) * a(u,w,u) | (z * R(u,w,u)) / y = x. (x * R(y,z,y)) / (x * y) = a(y,z,y). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). a(x,y,x) * (x * z) = R(x,y,x) * z. (x * y) * a(x,z,x) = L(x,z,x) * y. x * (a(x,y,x) * z) = R(x,y,x) * z. 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). a(x,y,x) * (z * x) = z * L(x,y,x). x != (y * R(z,u,z)) / (y * z) | x = R(a(z,u,z),z,y). a(x,y,x) = R(a(x,y,x),x,z). R(a(x,y,x),x,z) = a(x,y,x). ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x != R(y,R(z,u,w),u * w) | x = ((y * R(z,u,w)) * (u * w)) / ((z * u) * w). a(R(x,y,z),u,R(x,y,z)) = ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z). ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. a(x,y,x) * (x * z) = L(x,y,x) * z. x \ y = a(x,z,x) * (R(x,z,x) \ y). a(x,y,x) * (R(x,y,x) \ z) = x \ 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 != L(T(y,z),u,T(y,w)) | x = L(T(y,z),u,y). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). x != K(y,z) * ((u / z) * R(z,w,z)) | x = R(z,w,z) * (T(z,y) \ u). x * (L(T(x,y),z,x) \ u) = R(x,z,x) * (T(x,y) \ u). R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). T(x,y) * (L(T(x,z),u,x) \ w) = R(T(x,y),u,x) * (T(x,z) \ w). R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x != (y * (z * R(u,w,u))) / (y * (z * u)) | x = L(a(u,w,u),z * u,y). a(L(x,y,z),u,L(x,y,z)) = L(a(x,u,x),y * x,z). L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). L(a(x,y,x),z,u) = a(L(x,z / x,u),y,L(x,z / x,u)). a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). (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). (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). 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(x,z,u)) \ 1 = K(y,x) * R(x,z,u). x != (K(y,z) / R(y,u,R(y,w,v5))) \ 1 | x = R(y,u,R(y,w,v5)) * K(z,R(y,u,R(y,w,v5))). K(x,y) * R(y,z,R(y,u,w)) = R(y,z,R(y,u,w)) * K(x,R(y,z,R(y,u,w))). R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). K(x,y) = K(x,R(y,z,R(y,u,w))). K(x,R(y,z,R(y,u,w))) = K(x,y). K(x,R(y,z,R(T(y,u),w,v5))) = K(T(x,u),T(y,u)). K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). K(x,y) = K(x,R(y,z,R(T(y,u),w,v5))). K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). 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,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). x \ R(x,y,R(T(x,z),u,w)) != v5 | v5 = a(x,y,R(x,u,w)). x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). a(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). x != (a(y,z,u) \ 1) \ 1 | x = a(y,z,u). a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). x != a(T(y,z),T(y,z) \ z,u) | x = (z * L(u,y \ T(z,y),y)) \ (z * u). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (y * L(R(T(x,y),z,u),x \ T(y,x),x)) \ (y * R(T(x,y),z,u)). (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). x != a(R(y,z,u),w,y) | x = a(y,w,R(y,z,u)). 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(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). x != a(y,T(y,z) \ u,R(y,w,v5)) | x = a(y,y \ u,R(y,w,v5)). a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). x != a(y,y \ z,R(T(y,z),u,w)) | x = a(R(y,u,w),R(y,u,w) \ z,T(R(y,u,w),z)). a(x,x \ y,R(x,z,u)) = a(R(x,z,u),R(x,z,u) \ y,T(R(x,z,u),y)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). x * a(y,y \ (z * y),R(y,u,w)) = (x / R(y,u,w)) * R(R(y,z,y),u,w). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). T(x,x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). x != T(y,y * (z / T(y,u))) | x = T(y,z). L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. x != (y * z) * R((y * z) \ (u * z),w,v5) | x = (y * R(y \ u,w,v5)) * z. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(K(x,w) \ T(T(x,w),T(y,w)),z,u)) * v5. (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(x,z),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. x != (R(T(y,z),u,w) * K(y,v5)) * v6 | x = R(T(y,z),u,w) * (K(y,v5) * v6). (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). R(K(x,y),R(T(x,z),u,w),v5) = (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)). (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). x != R(K(y,z / u),z,u \ 1) | x = K(y,z * (u \ 1)). K(x,R(T(x,y),z,u) / w) = K(x,R(T(x,y),z,u) * (w \ 1)). K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). K(x,y \ R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) * (y \ 1)). K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). x != K(y,R(T(y,z),u,w) * v5) | x = K(y,R(y,u,w) * v5). K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). K(x,y \ R(x,z,u)) = K(x,R(x,z,u) * (y \ 1)). K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). x != K(y,R(y,z,u) * (w \ 1)) | x = K(y,w \ R(T(y,v5),z,u)). 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)). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). x != K(y,z) * (L(K(y,u),w,v5) * (K(z,y) * v6)) | x = L(K(y,u),w,v5) * v6. L(a(x,y,K(z,u)),w,v5) = L(K(z,u),w,v5) * L(L(K(u,z),w,v5),y,x). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). x != L(K(y,z),u,w) * L(L(K(z,y),u,w),v5,v6) | x = a(v6,v5,L(K(y,z),u,w)). L(a(x,y,K(z,u)),w,v5) = a(x,y,L(K(z,u),w,v5)). a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). a(x,y,K(z,u)) = L(a(x,y,K(z,u)),z,w). L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). a(x,y,a(z,u,K(y,w))) = 1. a(x,T(y,z),a(u,w,K(y,v5))) = 1. R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). x != R(y,K(z,u),L(K(u,w),v5,v6)) | x = y. x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). (x * R(x \ (x * K(y,z)),u,w)) * K(z,v5) = R(x,K(y,z),K(z,v5)) * (R(K(y,z),u,w) * K(z,v5)). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). x * (R(K(y,z),u,w) * K(z,v5)) = (x * R(K(y,z),u,w)) * K(z,v5). (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). x != R(y,K(z,u),R(K(u,w),v5,v6)) | x = y. x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). K(x,a(K(y,z),u,u \ 1)) = 1. T(x,a(K(y,z),u,u \ 1)) = x. T(x,a(K(y,z),u \ 1,u)) = x. T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). x != a(y,z \ 1,z) | x = y \ R(y,z \ 1,z). T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). x != T(K(y,z) * R(K(z,y),u,w),v5) | x = K(y,T(z,v5)) * R(K(z,T(y,v5)),u,w). K(x,y) \ R(K(x,y),z \ 1,z) = K(y,T(x,u)) * R(K(x,T(y,u)),z \ 1,z). K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). x != K(y,T(z,u)) * w | x = K(u,K(z,y)) * (K(y,z) * w). K(x,y) \ R(K(x,y),z \ 1,z) = K(u,K(x,y)) * (K(y,x) * R(K(x,T(y,u)),z \ 1,z)). K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). K(x,K(y,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,(z \ 1) / u)) = K(x,K(y,u * z)). K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). K(x,K(y,(z \ 1) \ u)) = K(x,K(T(y,u),u * z)). K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). K(x,K(y,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,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)) = K(x,K(y * z,u)). (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. x != K(y,K(z,(u \ 1) / (w / u))) | x = K(z,(T(w,y) / u) / (w / u)). K(x,K(y,z)) = K(x,(T(z,y) / u) / (z / u)). K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). x != R(K(y,K(z,u)),w,v5) | x = K(z,K(u,R(y,w,v5))). K(x,K(y,z)) = K(y,K(z,R(x,y / u,u))). K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. K(x,K(y,z)) * u = T(z,K(x,y)) / (u \ z). T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. 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)). L(x \ y,x,K(y,K(z,u))) = x \ y. a(K(x,K(y,z)),u,u \ x) = 1. a(K(x * y,K(z,u)),x,y) = 1. a(K(K(x,y),z),u,u \ z) = 1. a(K(x,K(y,z * u)),z,u) = 1. x != 1 | x = K(y,z) * K(y,z). a(K(K(x,y),z),u,u \ z) = K(w,v5) * K(w,v5). x != y * K(z,K(u,y)) | x = T(y,K(u,z)). T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). x != T(y,K(z \ u,R(w,z,z \ 1))) | x = T(y,K(w,T(u * (z \ 1),z))). 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)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). T(x,K(y,z * (u \ 1))) = T(x,K(T(y,u),u \ z)). T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). x != T(y,K(z,y \ u)) | x = T(y,K(z,u)). T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). K(x,K(y,z * u)) = K(x,K(y,(z \ 1) \ u)). K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). x != K(y,K(z \ (u * w),w \ (u \ 1))) | x = K(y,K(u * w,(u \ z) \ w)). K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). x \ T(y,K(z,u)) = (x \ y) * K(z,K(u,y)). (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). (x / y) \ T(x,K(z,u)) != w | y * K(z,K(u,x)) = w. 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 * 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(x,T(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ 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 != (K(y,z) / u) * K(y,K(z,1 / u)) | x = T(K(y,z),1 / u) / u. T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). K(x,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)))). 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)). x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(y,K(z,u) * K(w,z)). 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,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). x != a(K(y,K(z,u * w)),u,w) | x = 1. K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. x != K(y,K(z,R(u,w,v5)) * K(u,z)) | x = K(y,K(z,u) * K(u,R(z,w,v5))). 1 = K(x,K(y,z) * K(z,R(y,u,u \ x))). 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. R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). R(K(x,y),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),R(y,y \ z,x)). K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). K(x,(((y \ z) * x) * (z \ 1)) \ x) = R(K(R(x,z,z \ 1),y),z,x). R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). x != R(K(R(y,z,u),w),v5,y) | x = K(R(y,z,u),w). K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). x != K(y,((z * y) * u) \ w) | x = K(y,(z * u) \ (y \ w)). K(R(x,y,y \ 1),z) = K(x,((z \ y) * (y \ 1)) \ (x \ x)). K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). x != K(y,((z \ u) * (u \ 1)) \ 1) | x = R(K(y,z),u,u \ 1). K(R(x,y,y \ 1),z) = R(K(x,z),y,y \ 1). R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,(y * z) * (z \ 1)). K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). x != K(y,T((z \ 1) * (u * z),z)) | x = K(y,L(u,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). x != R(K(y,z),u,u \ 1) | x = K(y,R(z,u,u \ 1)). K(x,L(y,z,z \ 1)) = K(x,R(y,z,z \ 1)). K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). K(x,y * (z \ 1)) = K(x,L(y / z,z,z \ 1)). K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). x != T(L(y,z,u),T(w,y)) | x = L(T(y,w),z,u). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). K(x,K(y * z,y \ L(y,u,w))) = K(y \ L(y,u,w),K(z * y,x)). K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. K(x,K((y * z) * u,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). x != K(y * T((z * u) \ u,z),w) | x = K(y * ((z * u) \ u),w). K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. x * y != K(z,z \ 1) \ ((1 / z) * (L(z,u,w) \ z)) | x \ (L(z,u,w) \ 1) = y. (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). T(x,x \ (L(x \ 1,y,z) \ 1)) = (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)). (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). x != (L(y \ 1,z,u) \ (y \ 1)) \ (L(1 / y,z,u) \ 1) | x = y. T(x,x \ (L(x \ 1,y,z) \ 1)) = x. T(x,x \ (((y * x) \ y) \ 1)) = x. (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). 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,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,z) * (y \ u) | x = T(y,z) \ u. 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). 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) | x = K(y,T(u,z)). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). x != K(y,T(z \ (R(y,u,w) * v5),v5)) | x = K(y,(R(y,u,w) * v5) / z). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). x != K(y,T(z,u * (y \ w))) | x = K(y,T(z,u * w)). K(x,(R(x,y,z) * u) / w) = K(x,T((R(x,y,z) \ w) \ u,R(x,y,z) * u)). K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). K(x,y / (R(x,z,u) \ w)) = K(x,(R(x,z,u) * y) / w). K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). x != K(y,(R(y,z,u) * w) / v5) | x = K(y,R(y,z,u) / (v5 / w)). K(x,y / (R(x,z,u) \ w)) = K(x,R(x,z,u) / (w / y)). K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)). K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). x != K(y,z / (R(y,u,w) \ v5)) | x = K(y,(z * R(y,u,w)) / v5). K(x,(y / z) \ R(x,u,w)) = K(x,(z * R(x,u,w)) / y). K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). x != K(y,((z * u) * R(y,z,u)) / ((w * z) * u)) | x = K(R(y,K(z * u,y) * z,u),w \ y). K(x,(((y * z) * u) / (z * u)) \ R(x,z,u)) = K(R(x,K(z * u,x) * z,u),y \ x). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). x != K(R(y,K(z,y) * u,w),v5) | x = K(R(y,u,w),v5). K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). x != K(y,(z \ K(u,w)) \ 1) | x = K(y,K(w,u) * z). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(K(y,x) * R(K(x,y),z,u),K(x,y) * (z * u)). K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). x != K(K(y,z) * R(K(z,u),w,v5),v6) | x = K(K(y,z) * K(z,R(u,w,v5)),v6). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(K(y,x) * K(x,R(y,z,u)),K(x,y) * (z * u)). K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). 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)). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). x != K(y * z,K(u,w) * K(w,R(u,y,z))) | x = 1. K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. 1 = K(a(K(x,y),z,u),K(x,y) * (z * u)). 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,y) * R(K(x,y),z,u)) = a(K(x,y),z,u). K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). a(K(x,y),z,u) * w = K(y,x) * (R(K(x,y),z,u) * w). K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). K(a(K(x,y),z,u),w) = K(K(y,x) * K(x,R(y,z,u)),w). K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). 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)). 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). x * a(K(x,y),z * y,u) = T(x,R(y,z,u)) * K(y,x). T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. x != (y * K(z,y)) * R(K(y,z),u,w) | x = (v5 * K(y,z)) \ ((v5 * R(v5 \ (v5 * K(y,z)),u,w)) * y). x * a(K(x,y),z,u) = (w * K(x,y)) \ ((w * R(w \ (w * K(x,y)),z,u)) * x). (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). x != (y * K(z,u)) * R(K(w,z),v5,v6) | x = R(K(w,T(z,y)),v5,v6) * (y * K(z,u)). x * a(K(y,z),u,w) = R(K(y,T(z,x)),u,w) * (x * K(z,y)). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),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. T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). x != K(y,z) * (u * L(y,z,y)) | x = K(y,y * z) * (u * y). R(K(x,y),z,u) * L(x,y,x) = K(x,x * y) * (a(K(x,y),z,u) * x). K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). x != R(K(y,z),u,w) * L(y,v5,y) | x = L(y * R(K(y,z),u,w),v5,y). T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). x != R(K(y,T(z,u)),w,v5) * (u * K(z,y)) | x = u * a(K(y,z),w,v5). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). K(a(K(x,y),z,u),w) * v5 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. x != K(a(K(y,z),u,w),v5) * y | x = y * K(a(K(y,z),u,w),v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). x != K(y,z) * T(u,K(w,R(y,v5,v6))) | x = T(K(y,z) * u,K(y,R(w,v5,v6))). x * K(a(K(x,y),z,u),w) = T(K(y,K(x,w)) * x,K(y,R(w,z,u))). T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). x != T(y,K(z,R(u,w,v5)) * K(u,z)) | x = T(y,a(K(u,z),w,v5)). x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). x != K(y,a(K(z,u),w,v5)) | x = K(a(K(y,u),w,v5),z). a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). x * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). x * T(x \ (x * y),z) = ((x * L(y,u,w)) * T(y,z)) / L(y,u,w). ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(x \ (x * y),w). ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(y,w). (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). (x * y) * L(x,z,u) = (y * L(x,z,u)) * T(x,y). (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). x \ R(x,y,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(x,y) * z != K(x * L(y,u,w),y) | z = a(y,x,y). a(x,y,L(x,z,u)) = a(x,y,x). (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). (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)). 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)) | x = a(y,z,L(y,u,w)). 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)). x != a(y,y \ z,L(T(y,y \ z),u,w)) | x = (L(y,u,w) * z) \ (z * L(T(y,y \ z),u,w)). a(x,x \ y,L(x,z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). x != (L(y,z,u) * w) \ (w * L(T(y,v5),z,u)) | x = K(w,L(y,z,u)) * K(L(y,z,u),v5). a(x,x \ y,L(x,z,u)) = K(y,L(x,z,u)) * K(L(x,z,u),x \ y). K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). x != K(y,L(z,u,w)) * K(L(z,u,w),z \ y) | x = a(L(z,u,w),L(z,u,w) \ y,L(z,u,w)). 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)). x != (y / R(z,u,w)) * R(R(z,v5,z),u,w) | x = y * a(z,v5,R(z,u,w)). x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). x != a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)) | x = a(y,y \ w,R(y,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). R(a(x,y,x),z,u) = a(x,y,R(x,x \ z,u)). a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). x * R(a(x,y,x),z,u) = R(x,y,R(x,x \ z,u)). R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,x \ u,w)). R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). x != R(T(y,z),u,R(T(y,z),w,v5)) | x = R(T(y,z),u,R(y,w,v5)). T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). x != T(y,z) * R(a(y,u,y),w,v5) | x = R(T(y,z),u,R(y,y \ w,v5)). R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. (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)) | x = 1. a(R(a(x,y,x),z,u),z,u) = 1. L(x,y,R(a(z,u,z),y,x)) = x. (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). a(x,y,x) * z = z * R(a(x,y,x),z,u). x * R(a(y,z,y),x,u) = a(y,z,y) * x. x * y != a(z,u,z) * x | y = a(z,u,z). R(a(x,y,x),z,u) = a(x,y,x). x != R(a(y,z,y),y * u,w) | x = a(y,z,R(y,u,w)). a(x,y,x) = a(x,y,R(x,z,u)). a(x,y,R(x,z,u)) = a(x,y,x). x != R(a(y,z * K(u,z),y),z * K(u,z),u) | x = L(a(y,z,y),z,u). a(x,y * K(z,y),x) = L(a(x,y,x),y,z). a(x,y,x) * (z * u) = (a(x,y,x) * z) * u. (a(x,y,x) * z) * u = a(x,y,x) * (z * u). a(x,y,x) \ (z * u) = (a(x,y,x) \ z) * u. L(x,y,a(z,u,z)) = x. x != L(a(y,z,u),y * (z * u),w) | x = (w * (y * (z * u))) \ (w * ((y * z) * u)). a(x,y,z) = (a(u,w,u) * (x * (y * z))) \ (a(u,w,u) * ((x * y) * z)). (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(z,u,w). (a(x,y,x) * z) / u = a(x,y,x) * (z / u). x != a(y,z,y) | x = a(y,z,L(y,u,w)). a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). 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). 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)). a(x,L(y * K(z,y),u,w),x) = L(a(x,L(y,u,w),x),L(y,u,w),z). L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). L(x,y,a(z,u,z) * w) = (a(z,u,z) * (w * y)) \ ((a(z,u,z) * w) * (y * x)). (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). R(a(x,y,x) * z,u,w) = ((a(x,y,x) * (z * u)) * w) / (u * w). ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,u,w). (x * a(y,z,y)) * u = a(y,z,y) * (x * u). 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,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). x != a(y,z,y) * u | x = u * a(y,z,y). (x * a(y,z,y)) * u = (x * u) * a(y,z,y). a(x,y,x) \ (z / u) = (a(x,y,x) \ z) / u. (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). x != K(y,z) * a(y,y \ z,y) | x = K(y,y \ z). K(x,R(x,y,z) \ u) = K(x,x \ u). K(x,y \ x) = K(x,x \ ((x * R(T(x,z),u,w)) / y)). K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). K(x,(x \ y) * z) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,(x \ y) * z). K(x,y * (x \ z)) = K(x,(x \ y) * z). K(x,(x \ y) * z) = K(x,y * (x \ z)). x != K(y / z,y * u) | x = K(z \ y,u * y). K(x / y,((x / y) \ x) * z) = K(y \ x,((x / y) \ z) * x). x != a(y,y \ z,L(y,u,w)) | x = a(L(y,u,w),L(y,u,w) \ z,L(y,u,w)). a(x,y,R(x,z,u)) = a(L(x,w,v5),L(x,w,v5) \ (y * x),L(x,w,v5)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). K(x,y \ x) = K(x,R(T(x,z),u,w) / y). K(x,R(T(x,y),z,u) / w) = K(x,w \ x). x != K(y,R(T(y,z),u,w) / v5) | x = K(y,v5 \ R(y,u,w)). K(x,y \ x) = K(x,y \ R(x,z,u)). K(x,y \ R(x,z,u)) = K(x,y \ x). x != K(y,R(z,u,w) \ R(y,u,w)) | x = K(R(y,u,w),z \ y). K(x,R(y,z,u) \ x) = K(R(x,z,u),y \ x). K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). x != K(R(y,z,u),R(y / w,w,L(K(v5,y),v6,v7)) \ y) | x = K(R(y,z,u),w). K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). K(x / y,y * z) = K(y \ x,((x / y) \ z) * x). K(x \ y,((y / x) \ z) * y) = K(y / x,x * z). x != K(y / z,z * u) | x = K(z \ y,u * z). K(x \ y,((y / x) \ z) * y) = K(x \ y,z * x). (a(x,y,x) * ((z * u) * w)) / (u * w) = R(a(x,y,x) * z,u,w). x != (a(y,z,y) * u) / w | x = a(y,z,y) * (u / w). R(a(x,y,x) * z,u,w) = a(x,y,x) * (((z * u) * w) / (u * w)). a(x,y,x) * (((z * u) * w) / (u * w)) = R(a(x,y,x) * z,u,w). a(x,y,x) * R(z,u,w) = R(a(x,y,x) * z,u,w). R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). R(a(x,y,x) * z,u,w) * v5 = a(x,y,x) * (R(z,u,w) * v5). R(x * a(y,z,y),u,w) * v5 = a(y,z,y) * (R(x,u,w) * v5). x != R(y * a(z,y,z),u,w) * z | x = T(z * R(y,u,w),z). a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). x * (y * z) != T(z * y,z) | x = a(z,y,z). a(x,y,x) = a(x,R(y,z,u),x). a(x,R(y,z,u),x) = a(x,y,x). x != a(y,z,y) | x = R(a(y,z,y),u,w). a(x,R(y,z,u),x) = R(a(x,y,x),w,v5). R(a(x,y,x),z,u) = a(x,R(y,w,v5),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). a(x,R(y,z,u),x) != w | w = a(x,y,x). a(x,R(y,z,u),x) != w | a(x,y,x) = w. R(a(x,y,x),z,u) != w | a(x,y,x) = w. L(a(x,y,x),y,z) != u | a(x,y * K(z,y),x) = u. x != a(y,z,y) * T(y,u) | x = R(T(y,u),z,y). R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). x != L(a(y,L(z,u,w),y),L(z,u,w),w * u) | x = (w * (u * z)) \ (w * (u * (T(y * z,y) / y))). a(x,L(y * K(z * u,y),u,z),x) = (z * (u * y)) \ (z * (u * (T(x * y,x) / x))). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). x != a(L(y,z,u),L(y,z,u) \ (w * y),L(y,z,u)) | x = K(w * y,L(y,z,u)) * K(L(y,z,u),w). a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). x != K(y,R(R(y / z,u,w),v5,v6) \ y) | x = R(R(K(y,z),u,w),v5,v6). K(R(x,y,z),u) = R(R(K(x,u),u,L(K(w,x),v5,v6)),y,z). R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). R(K(x,y),z,u) = K(R(x,z,u),y). R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). K(x,R(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,R(y,z,u)). R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. x != R(K(y,z),u,w) | x = K(R(y,u,w),z). K(x,R(y,z,u)) = K(R(x,z,u),y). K(R(x,y,z),u) = K(x,R(u,y,z)). T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). K(x,R(x * y,z,u)) = K(R(x,y,z),R(x * y,y * z,u)). K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). x != K(y,z) * T(u,R(y,w,v5)) | x = T(K(y,z) * u,R(y,w,v5)). x * a(K(x,y),z,u) = T(K(y,x) * x,R(y,z,u)). T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). a(K(x,y),z * y,u) = a(K(x,y),z,u). a(K(x,K(y,z)),u,w) = K(a(K(y,x),u * x,w),z). K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). x != K(a(K(y,z),u,w),v5) | x = a(K(y,K(z,v5)),u,w). a(K(x,K(y,z)),u,w) = a(K(y,K(x,z)),u * x,w). a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(z,u,w). (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(z,u,w). ((a(x,y,x) * z) * (u * w)) \ (((a(x,y,x) * z) * u) * w) = a(z,u,w). 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(L(x,y,x),z,u) = a(x,z,u). a(K(x \ y,x),z,u) = a(K(y,x),z,u). a(T(x \ y,y),z,u) = a(y / x,z,u). a(K(x * y,(x * y) \ y),z,u) = a(K(x * T(y,w),y),z,u). a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). x != a(K(y * z,z \ 1),u,w) | x = a(K(y,z \ 1),u,w). a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). x != a(K(y * z,z),u,w) | x = a(K(y,z),u,w). a(K(x,y \ 1),z,u) = a(K(y,x),z,u). x != a(K(y,z \ 1),u,w) | x = K(z \ 1,y) * K(y,R(z,u,w) \ 1). a(K(x,y),z,u) = K(x \ 1,y) * K(y,R(x,z,u) \ 1). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). a(K(x,y),z,u) = a(K(y \ 1,x),z,u). a(K(x \ 1,y),z,u) = a(K(y,x),z,u). a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). 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) | x = a(K(z,y),u,w). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). x != L(y,z,a(u,w,u)) | x = y. L(x,y,a(z,u,z) * w) = L(x,y,w). L(x,y,z) = L(x,y,a(u,w,u) \ z). L(x,y,a(z,u,z) \ w) = L(x,y,w). L(x,y,K(z,u)) = L(x,y,K(z,z * u)). L(x,y,K(z,z * u)) = L(x,y,K(z,u)). L(x,y,z * a(u,w,u)) = L(x,y,z). ((a(x,y,x) \ z) * u) * L(w,u,z) = (a(x,y,x) \ z) * (u * w). L(x,y,L(z,u,z)) = L(x,y,z). L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). x != L(y,z,u) | x = L(y,z,T(u,z)). L(x,y,L(z,u,z)) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,L(z,u,z)). L(x,y,T(z * (u / z),z)) = L(x,y,u). L(x,y,L(z,u,z)) != w | L(x,y,z) = w. L(x * y,z,K(x,y)) = x * y. (K(x,y) * z) * (x * y) = K(x,y) * (z * (x * y)). L(x,y / z,K(y,z)) = x. (x / T(y,x)) * z = K(x,y) * ((x / y) * z). K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. L(x,y,T(z,u)) = L(x,y,(u \ z) * u). L(x,y,(z \ u) * z) = L(x,y,T(u,z)). L(x,y,z * (u / z)) = L(x,y,T(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 != R(K(y,y * z),u,w) | x = K(y,R(z \ 1,u,w) \ y). K(x,x * y) = K(x,R(y \ 1,y,z) \ x). K(x,R(y \ 1,y,z) \ x) = K(x,x * y). T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). T(x,R(y \ 1,y,z) \ x) = T(x,x * y). x != T(y,R(z \ 1,z,u) \ w) | x = T(y,(u / (z * u)) \ w). T(x,x * y) = T(x,(z / (y * z)) \ x). T(x,(y / (z * y)) \ x) = T(x,x * z). T(x,(y / z) \ x) = T(x,x * (z / y)). x != T(y,(z / u) \ y) | x = T(y,(u * y) / z). T(x,x * (y / z)) = T(x,(y * x) / z). T(x,(y * x) / z) = T(x,x * (y / z)). T(x,(y * x) / z) = x * K(x,x * (y / z)). x * K(x,x * (y / z)) = T(x,(y * x) / z). K(x,x * (y / z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,x * (y / z)). K(x,(y / z) \ x) = K(x,x * (z / y)). (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). (x * y) * z != K(x,y) * (u * (x * y)) | T(K(x,y) * u,x * y) = z. T(K(x,y) * z,x * y) = (y * x) \ (z * (x * y)). (x * y) \ (z * (y * x)) = T(K(y,x) * z,y * x). (x * y) \ (z * (y * x)) = T(K(x,y) * z,y * x). T(x,T(x * (y / z),u)) = T(x,T((y * x) / z,u)). T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). x != T(y,T((z * y) / u,w)) | x = T(y,T(z / (y \ u),w)). T(x,T(x * (y / z),u)) = T(x,T(y / (x \ z),u)). T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). x != K(y,(z / u) \ y) | x = K(y,y * (u / z)). R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). (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). x != R(K(y,z / (u * z)),R(1 / u,u,z),w) | x = K(y,u \ 1). ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). x != ((y \ T(y * (z / u),w)) * u) / z | x = K((((y \ 1) * u) / z) \ 1,w). K(x * (y / (z * y)),z \ 1) = K((((x \ 1) * (z * y)) / y) \ 1,y / (z * y)). K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). x != K(((y * z) / u) \ 1,u / z) | x = K(y \ (u / z),(z / u) \ 1). K(x * (y / (z * y)),z \ 1) = K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1). K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). K(x * (y / (z * y)),z \ 1) = K((x \ 1) \ ((z * y) \ y),z \ 1). K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). x != K(y * (z / (u * z)),u \ 1) | x = K(y * ((u * z) \ z),u \ 1). K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * R(K(R(x,y,z) \ 1,u) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). R(K(x \ 1,y) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). x != K(y \ 1,z) * K(z,R(y,u,w) \ 1) | x = a(K(z,y \ 1),u,w). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). x != a(K(y,R(z,u,w) \ 1),v5,v6) | x = a(K(z,R(y,u,w)),v5,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). a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),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,L(z,u,w)) * K(L(z,u,w),y) | x = a(z,y,R(z,v5,v6)). 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 != a(y,z,R(y,u,w)) | x = a(y,z,y). a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). x != a(L(y,z / y,u),w,L(y,z / y,u)) | x = L(a(y,w,y),z,u). a(x,y,x) = L(a(x,y,x),z,u). L(a(x,y,x),z,u) = a(x,y,x). a(x,y * K(z,y),x) = a(x,y,x). (x * y) * a(z,u,z) = x * (y * a(z,u,z)). L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). a(x,T(y,z),x) = a(x,y,x). a(x,y / z,x) = a(x,z \ y,x). a(x,R(y \ z,u,w),x) = a(x,R(z / y,u,w),x). a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). a(x,(y * z) \ (u * z),x) = a(x,R(u / y,y,z),x). a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). x != a(y,(z * u) \ u,y) | x = a(y,z \ 1,y). a(x,y / (z * y),x) = a(x,z \ 1,x). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,((z * (u * (w * K(y,y \ 1)))) \ ((z * u) * w)) \ 1,x). a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). R(x,y,a(z,u,z)) = x. x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). (x * y) * a(z,u,z) = x * (a(z,u,z) * y). L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). R(x,y,T(a(z,u,z),w)) = x. (x / T(a(y,z,y),u)) / w = x / (w * T(a(y,z,y),u)). x \ L(y,z,y) = (x \ y) * a(y,z,y). (x \ y) * a(y,z,y) = x \ L(y,z,y). x \ (L(y,z,y) \ u) = (x \ (y \ u)) * a(y,z,y). (x \ (y \ z)) * a(y,u,y) = x \ (L(y,u,y) \ z). x \ (L(y,z,y) * u) = (x \ (y * u)) * a(y,z,y). (x \ (y * z)) * a(y,u,y) = x \ (L(y,u,y) * z). a(x,y,x) * (z * u) = z * (a(x,y,x) * u). x * a(y,z,y) != (u * a(y,z,y)) * w | x = u * w. (x * a(y,z,y)) * u = x * (a(y,z,y) * u). x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). L(x,a(y,z,y),u) = x. x \ y = a(z,u,z) * ((x * a(z,u,z)) \ y). a(x,y,x) * ((z * a(x,y,x)) \ u) = z \ u. x != y | x = L(y,z,a(u,w,u)). L(x,a(y,z,y),u) = L(x,w,a(v5,v6,v5)). L(x,y,a(z,u,z)) != w | w = x. x \ R(y,z,y) = a(y,z,y) * (x \ y). a(x,y,x) * (z \ x) = z \ R(x,y,x). x \ K(y,y \ z) = a(y,y \ z,y) * (x \ K(y,z)). a(x,x \ y,x) * (z \ K(x,y)) = z \ K(x,x \ y). x != a(y,z,y) \ (u * w) | x = (a(y,z,y) \ 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). a(x,y,x) * (T(x * y,x) \ z) = (y * x) \ z. (x * (a(y,z,y) \ u)) * L(w,u,x) = (a(y,z,y) \ x) * (u * w). T(x,y * a(z,u,z)) = T(x,y). T(x,y * a(z,u,z)) = x * K(x,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,T(y,z) / z) = T(x,z \ y). T(x,L(y,z,y) * u) = T(x,y * u). T(x,y * (z * a(u,w,u))) = T(x,y * 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 / z) = T(x,z \ T(y,z)). T(x,y \ T(z,y)) = T(x,z / y). T(x,T(y,z) \ z) = T(x,z / y). T(x,(T(y,z) / z) \ T(u,z \ y)) = T(x,u / (T(y,z) / z)). K(x,y * a(z,u,z)) = K(x,y). K(x,y) = K(x,a(z,u,z) \ y). K(x,a(y,z,y) \ u) = K(x,u). K(x,a(y,z,y) * u) = K(x,u). K(x,y * R(z,u,z)) = K(x,y * z). K(x,y \ L(z,u,z)) = K(x,y \ z). K(x,y * (a(z,u,z) * w)) = K(x,y * w). K(x,a(y,z,y) * u) = K(u,x). K(x,T(y,z) \ z) = K(x,z / y). K(x,y \ z) = K(x,R(y,u,y) \ z). K(x,R(y,z,y) \ u) = K(x,y \ u). K(x,(a(y,z,y) * u) * w) = K(x,u * w). K(x,(a(y,z,y) * u) / w) = K(x,u / w). K(x,y \ z) = K(x,(y * a(u,w,u)) \ z). K(x,(y * a(z,u,z)) \ w) = K(x,y \ w). K(a(x,y,x) * z,u) = K(z,u). K(x,a(y,z,y) * u) != w | K(x,u) = w. K(x * a(y,z,y),u) = K(x,u). K(T(x,y) / y,z) = K(y \ x,z). a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). K(x,y \ z) = K(x,z / T(y,z)). K(x,y / T(z,y)) = K(x,z \ y). K(x,T(T(y,z) \ z,u)) = T(K(x,z / y),u). T(x * K(x / y,z),x) = x * K(y \ x,z). x != K(y,z \ u) | x = K(y,(u \ z) \ 1). K(x,y / T(z,y)) = K(x,(y \ z) \ 1). K(x,(y \ z) \ 1) = K(x,y / T(z,y)). T(x,y * T(z / u,z)) = T(x,y * (u \ z)). T(x,T(y,z) * u) = T(x,((y \ z) \ z) * u). T(x,((y \ z) \ z) * u) = T(x,T(y,z) * u). T(x,y \ T(z,u)) = T(x,y \ ((z \ u) \ u)). T(x,y \ ((z \ u) \ u)) = T(x,y \ T(z,u)). K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). K(x,y \ T(z / u,z)) = K(x,y \ (u \ z)). K(x,y \ T(z,u)) = K(x,y \ ((z \ u) \ u)). K(x,y \ ((z \ u) \ u)) = K(x,y \ T(z,u)). K(x,T(y,z) \ u) = K(x,T(y,y * z) \ u). K(x,T(y,y * z) \ u) = K(x,T(y,z) \ u). K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). K(x,T(y,z) \ z) != u | K(x,z / y) = u. K(x,y * L(z,u,z)) != w | K(x,y * z) = w. K(x,y / T(z,y)) != u | K(x,z \ y) = u. T(x,y * (T(z,u) / u)) = T(x,y * (u \ z)). T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). K(x,y * K(z,z \ u)) = K(x,y * K(z,u)). K(x,y * (T(z,u) \ u)) = K(x,y * (u / z)). K(x,T(y * z,y) * u) = K(x,(z * y) * u). K(x,K(y,y \ z) * u) = K(x,K(y,z) * u). K(x,(y / L(z,u,z)) * w) = K(x,(y / z) * w). K(x,(y \ R(z,u,z)) * w) = K(x,(y \ z) * w). K(x,T(y * z,y) / u) = K(x,(z * y) / 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). K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). K(x,(y \ L(z,u,z)) \ w) = K(x,(y \ z) \ w). K(x,y \ T(z,y)) != u | K(x,z / y) = u. K(x,y / z) != u | K(x,T(z,y) \ y) = u. K(x,T(y,z) / z) != u | K(x,z \ y) = u. K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). K(x,(T(y,z) \ z) \ T(u,z / y)) != w | K(x,u / (T(y,z) \ z)) = w. K(x,T(T(y,z) \ z,u)) = K(x,T(z / y,u)). (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). T(x,y * (x / z)) = T(x,y * (z \ x)). T(x * (y / x),z * (y / u)) = x * (T(y,z * (u \ y)) / x). T(x,T(y,y \ z) * u) = T(x,T(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,y \ T(z,z \ u)) = K(x,y \ T(z,u)). x != K(y,z) | x = (u * K(z,y)) \ u. K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ 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 * T(z,z * u)) != w | K(x,y * T(z,u)) = w. T(x,y * (T(z,T(u,u \ w)) \ ((u \ w) \ w))) = T(x,y * (T(u,u \ w) / 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,K(y,y \ z) * u) = K(x,K(z,y) * u). K(x,K(y,z \ 1) * u) = K(x,K(y,z \ y) * u). K(x,T(y,z) \ u) = K(x,((z \ y) * z) \ u). K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). T(x,(T(y,z) / z) \ u) = x * K(x,(z \ y) \ u). T(x,T(y,y \ z) * u) = T(x,K(z,y) * (y * u)). K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). x != K(y,K(z,z \ u) * w) | x = K(y,K(z,u) * w). K(x,K(y,z) * u) = K(x,K(z,y) * u). K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). K(x,K(y,z) \ u) = K(x,K(y,z) * u). K(x,T(y,z) \ u) = K(x,K(y,z) * (y \ u)). K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). K(x,T(y / z,T(u,z))) = K(x,K(u,z \ y) * (y / z)). K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). K(x,((y \ x) * y) \ z) != u | K(x,x \ z) = u. K(x,K(y,y \ z) * u) = K(x,K(z,y \ z) * u). K(x,K(y,z \ y) * u) = K(x,K(z,z \ y) * u). K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). 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 * 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 * u) / z)) = K(x,T(u,z) \ T(y,(z * u) / z)). K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). 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(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 \ u) \ u)) * w) = K(x,(y \ T(z,u)) * w). K(x,(y \ T(z,z * u)) \ w) = K(x,(y \ T(z,u)) \ 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 \ (L(z,u,z) \ w)) = K(x,y \ (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 \ (L(z,u,z) * w)) = K(x,y \ (z * w)). K(x,y \ T(z * u,u)) = 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 \ ((1 / z) * T(u * z,u))) = K(x,y \ ((u * z) * (1 / z))). L(K(x,(y \ z) \ (u * w)),y \ z,y) = K(x,z \ (y * T(w * u,u))). 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). T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). K(x,T(a(y,z,y) * u,w)) = K(x,T(u,w)). K(x,T(L(y,z,y) * u,w)) = K(x,T(y * u,w)). T(x,(T(y,z) / z) \ u) != w | T(x,(z \ y) \ u) = w. x != T(y,T(z,z \ u) * w) | x = T(y,T(z,u) * w). T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). T(x,((y * z) / y) * u) = T(x,T(z,y) * u). T(x,y * z) = T(x,T(T(y,u),u) * z). T(x,T(T(y,z),z) * u) = T(x,y * u). T(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)). x != K(y,K(z,z \ u) * w) | x = K(y,K(u,z) * w). K(x,K(y,z \ y) * u) = K(x,K(y,z) * u). K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). x != K(y,K(z,u \ z) * w) | x = K(y,K(z,u \ 1) * w). K(x,K(y,z) * u) = K(x,K(y,z \ 1) * u). K(x,K(y,z \ 1) * u) = K(x,K(y,z) * u). K(x,K(y,z) * u) = K(x,K(z,y \ 1) * u). K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). x != K(y,K(z,u) * (z \ w)) | x = K(y,T(z,u) \ w). K(x,K(y,z) * (z \ u)) = K(x,T(z,y \ z) \ u). K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). K(x,K(y,z \ u) * w) = K(x,K(y,u \ z) * w). K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). 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,K(y,z \ 1) * u) != w | K(x,K(y,z) * u) = w. x != K(y,K(y,z) * u) | x = K(y,u). K(x,K(x \ 1,y) * z) = K(x,z). x != K(y,z) | x = y \ T(y,z). K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). T(x,K(x \ 1,y) * z) = x * K(x,z). K(x,y) = K(x,y * K(z,x \ 1)). K(x,y * K(z,x \ 1)) = K(x,y). K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). K(x \ y,z * K(u,y \ x)) = K(x \ y,z). T(T(x,K(y,z)),(z / y) * K(u,y \ 1)) = T(x,y \ (z * K(u,y \ 1))). T(x,K(x \ 1,y) * z) = T(x,z). T(x \ 1,K(x,y) * z) = T(x \ 1,z). T(x,T(y,x \ 1) \ z) = T(x,y \ z). T(x,((x \ 1) \ y) \ z) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). x * (T(K(y,z),x) * T(y \ 1,x)) = L(y \ 1,T(K(y,z),x),x) * (K(y,z) * x). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). 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(T(z,u),u)) != w | T(x,y * z) = w. T(x,y * T(z,u)) = T(x,y * ((u * z) / u)). T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). T(x,y * ((z * u) / z)) = x * K(x,y * T(u,z)). T(x,T(y,z) * z) != u | T(x,z * y) = u. K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). K(x,T(y,z \ 1) \ u) = K(x,T(y,y * z) \ u). K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. x != T(y,(z / (y \ 1)) \ u) | x = T(y,z \ (y \ u)). T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). T(x,T(y,x \ 1) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). K(T(x,y),z * ((x * y) \ y)) = K(T(x,y),z * (y / (x * y))). K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). K(x,y * z) = K(x,z * T(y,z)). K(x,y * T(z,y)) = K(x,z * y). K(x,y * z) = K(x,T(z,y) * y). K(x,T(y,z) * z) = K(x,z * y). K(x,T(y \ z,u) * y) = K(x,y * T(z / y,u)). x != K(y,T(z,z * u) \ w) | x = K(y,T(z,u) \ w). K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). x != K(y,T(z * u,u) \ w) | x = K(y,(u * z) \ w). K(x,T(y * (z \ 1),z) \ u) = K(x,((z \ 1) * y) \ u). x != a(y,R(z / u,w,v5),y) | x = a(y,R(u \ z,w,v5),y). a(x,(y * z) \ (u * z),x) = a(x,R(y \ u,y,z),x). a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). T(x,y * (z \ K(u,u \ w))) = T(x,y * (z \ K(u,w))). K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). (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). (a(x,y,x) \ z) / u = z / (u * T(a(x,y,x),w)). x / (y * T(a(z,u,z),w)) = (a(z,u,z) \ x) / y. x != (a(y,z,y) \ u) / w | x = a(y,z,y) \ (u / w). x / (y * T(a(z,u,z),w)) = a(z,u,z) \ (x / y). x / (y * a(z,u,z)) = a(z,u,z) \ (x / y). K(x,y / (z * a(u,w,u))) = K(x,y / z). K(x,y / (L(z,u,z) * w)) = K(x,y / (z * w)). K(x,y / T(z * u,u)) = 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 / ((z \ u) * z)) = K(x,y / T(u,z)). K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. K(x,y * (T(z * u,u) \ w)) = K(x,y * ((T(z,u) * u) \ w)). K(x,(y \ z) * u) = K(x,(z / T(y,z)) * u). K(x,(y / T(z,y)) * u) = K(x,(z \ y) * u). T(x,(y \ ((z \ u) \ u)) * w) = x * K(x,(y \ T(z,u)) * w). K(x,T(y \ ((z \ u) \ u),w) * (1 / w)) = K(x,(y \ T(z,u)) * (1 / T(w,y \ ((z \ u) \ u)))). K(x,(y \ T(T(z,T(z,u) * w),u)) \ v5) = K(x,(y \ T(T(z,u),w)) \ v5). K(x,(y \ T(z,u * z)) \ w) = K(x,(y \ T(z,u)) \ w). K(x,(y \ T(z * (u / z),(z * (u / z)) * (z \ u))) \ w) = K(x,(y \ (z * T(u / z,u))) \ 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,(u \ w) \ w) \ T(u,u \ w))) = K(x,y \ (((u \ w) \ w) / 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)). x != T(y,(z * (y \ 1)) \ (y \ u)) | x = T(y,R(z,y \ 1,y) \ u). T(x,T(y,x \ 1) \ z) = T(x,R(y,x \ 1,x) \ z). T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). x != T(y,T(z,y \ 1) \ u) | x = T(y,z \ u). T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). x != T(y,R(z,y \ 1,y) \ (y * u)) | x = T(y,(z * (y \ 1)) \ u). T(x,y \ (x * z)) = T(x,(y * (x \ 1)) \ z). T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). T(x,x * (y \ z)) = T(x,y \ (x * z)). T(x,y \ (x * z)) = T(x,x * (y \ z)). x != T(y,z \ (y * u)) | x = T(y,z \ (u * y)). T(x,x * (y \ z)) = T(x,y \ (z * x)). T(x,y \ (z * x)) = T(x,x * (y \ z)). x != T(y,z \ (y * (u \ z))) | x = T(y,T(u \ y,z)). T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). K(x,(y \ T(z,T(u \ z,w))) \ v5) = K(x,(y \ T(z,w \ (u \ w))) \ v5). K(x,(y * ((y / z) \ 1)) \ u) = K(x,(((z \ y) \ 1) * y) \ u). K(x,(((y \ z) \ 1) * z) \ u) = K(x,(z * ((z / y) \ 1)) \ u). x != a(y,z / u,y) | x = a(y,u \ z,y). L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). L(x,y \ z,x) = L(x,(z \ y) \ 1,x). L(x,(y \ z) \ 1,x) = L(x,z \ y,x). x != L(y,(z \ u) \ 1,y) | x = L(y,(u / z) \ 1,y). L(x,y \ z,x) = L(x,(y / z) \ 1,x). L(x,(y / z) \ 1,x) = L(x,y \ z,x). L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). x != L(a(y,z,y),u,w) | x = a(y,z,y). a(x,L(y,z,u),x) = a(x,y,x). a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). a(x,a(y,z,u),x) = a(x,L(u,z,y) \ u,x). a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). x * a(x,y,x) = R(x,L(y,z,u),x). R(x,L(y,z,u),x) = x * a(x,y,x). x != y * a(y,z,y) | x = R(y,z,y). R(x,L(y,z,u),x) = R(x,y,x). a(x,a(y,z,u),x) \ x = L(x,L(u,z,y) \ u,x). L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. x != a(y,z,y) \ y | x = L(y,z,y). L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). T(x,(y \ z) \ T(u,y \ z)) = T(x,u / (T(z,y) / y)). x != T(y,z \ T(u,z)) | x = T(y,u / z). T(x,y / (T(z,u) / u)) = T(x,y / (u \ z)). T(x * (y / x),z * (y / u)) = T(x * (y / x),z * (u \ y)). K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * 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 * ((u * (z / u)) \ w)). K(x,y * ((z * (u / z)) \ w)) = K(x,y * (T(u,z) \ w)). K(x,T(y / z,z) * (((y / z) * z) \ u)) = K(x,(y / z) * (T(y,z) \ u)). T(x,(y \ ((z \ u) \ u)) * w) != v5 | T(x,(y \ T(z,u)) * w) = v5. x != (a(y,z,y) \ u) * w | x = u * (a(y,z,y) \ w). (x * (a(y,z,y) \ u)) * L(w,u,x) = x * (a(y,z,y) \ (u * w)). K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). (x * (a(y,z,y) \ u)) * L(w,u,x) = x * ((a(y,z,y) \ u) * w). K(x,y * ((x * z) \ z)) = K(x,R(x \ 1,x,z) * y). K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). L(x,a(y,z,y) \ u,w) = L(x,u,w). L(x,y,z) = L(x,a(u,w,u) * y,z). L(x,a(y,z,y) * u,w) = L(x,u,w). L(x,T(y * z,y),u) = L(x,z * y,u). L(x,T(y * (z / y),y),u) = L(x,z,u). x != K(y,K(z,u \ w) * (w / u)) | x = K(y,T(w / u,T(z,u))). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). K(x,T(y / z,y / (((u \ 1) \ 1) \ z))) = K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). L(x,K(y \ x,z),x) = x. L(x,K(y,z),x) = x. T(K(x,y) * z,z) = z * K(x,y). T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). 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 * 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,w))). K(x,y \ (z * T(u * w,u))) = K(x,y \ (z * (w * u))). x != K(y,z \ ((1 / u) * T(w * u,w))) | x = K(y,z \ ((w * u) * (1 / u))). K(x,y \ ((1 / z) * (z * u))) = K(x,y \ ((u * z) * (1 / z))). x != K(y,z \ (u * (1 / w))) | x = K(y,z \ (u * (w \ 1))). K(x,y \ ((1 / z) * (z * u))) = K(x,y \ ((u * z) * (z \ 1))). K(x,y \ ((1 / z) * (z * u))) = K(x,y \ R(u,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,a(y,z,z \ 1)) = K(x,y \ L(y,z,z \ 1)). K(x,y \ L(y,z,z \ 1)) = K(x,a(y,z,z \ 1)). 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. K(x,(y \ T(T(z,z * u),w)) \ v5) = K(x,(y \ T(T(z,w),u)) \ v5). K(x,(y \ z) * (((z / y) * y) \ u)) = K(x,(z / y) * (T(z,y) \ u)). K(x,(y \ z) * (z \ u)) = K(x,(z / y) * (T(z,y) \ u)). K(x,(y / z) * (T(y,z) \ u)) = K(x,(z \ y) * (y \ u)). 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,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). T(x,y * (T(z,T(u,w)) \ ((u \ w) \ w))) = T(x,y * (T(u,u \ w) / z)). K(x,y \ (T(z,T(u,w)) \ T(u,u \ w))) = K(x,y \ (((u \ w) \ w) / z)). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. x != (y \ 1) * (K(y,z) * u) | x = K(y,z) * ((y \ 1) * u). (x \ K(x,y)) * z = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. L(x,y \ 1,K(y,z)) = x. L(x,y \ 1,K(z,y)) = x. x != L(y,(z \ 1) \ 1,u) | x = L(y,z,u). x = L(x,y,K(z,y \ 1)). L(x,y,K(z,y \ 1)) = x. x != L(y \ (K(z,u) * w),y,K(z,u)) | x = (K(z,u) * y) \ w. x \ (K(y,x \ 1) * z) = (K(y,x \ 1) * x) \ z. (K(x,y \ 1) * y) \ z = y \ (K(x,y \ 1) * z). (x * K(y,x \ 1)) \ z = x \ (K(y,x \ 1) * z). x != y \ (K(z,y \ 1) * u) | x = K(z,y \ 1) * (y \ u). (x * K(y,x \ 1)) \ z = K(y,x \ 1) * (x \ z). K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,y \ (K(u,z \ 1) * (z \ w))). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,u \ 1)) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). K(x,T(y / z,y / (u \ z))) != w | K(x,T(y / z,u)) = w. K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(K(y \ 1,z) * u) \ 1) = K(x,(L(K(z,y),u,K(z,y)) * u) \ 1). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). x != K(y,(K(z,u) * w) \ 1) | x = K(y,w \ K(u,z)). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,y \ K(z,u)) = K(x,y \ K(u,z \ 1)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). x != K(y,(z \ u) \ K(w \ 1,z)) | x = K(y,u \ T(z,1 / w)). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). x != K(y,(z \ u) \ K(w,z)) | x = K(y,u \ T(z,w)). K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). K(x,y \ T(z,u)) = K(x,y \ T(z,u \ 1)). K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). K(x,(y \ T(z * (u / z),u * (u / z))) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). K(x,(y \ T(z * (u / z),u * (z \ u))) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). x != a(y,(z * u) \ w,y) | x = a(y,u \ (z \ w),y). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,w \ ((z * u) \ (z * (u * (w * K(y,y \ 1))))),x). a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). x != a(y,z * K(u,u \ 1),w) | x = a(y,z,w). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,w \ L(w,u,z),x). a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). a(x,y \ L(y,z,u),x) = a(x,a(u,z,y) \ K(w,w \ 1),x). a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,z * (x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) != u | L(x,y / z,x) = u. L(x,y / z,x) = L(x,z \ y,x). L(x,y,x) = L(x,(y \ z) \ z,x). L(x,(y \ z) \ z,x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,y,x) = L(x,y * K(z,y),x). L(x,y * K(z,y),x) = L(x,y,x). L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). x != L(y,R(z * K(u,z),w,v5),y) | x = L(y,R(z,w,v5),y). L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). 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). x != L(T(y,z),z,T(y,u)) | x = T(y,y * z). L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). x != L(y,R(z,u,w),y) | x = L(y,z,y). L(x,a(y,z,u),x) = L(x,y \ R(y,z,u),x). L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). x != K(y,K(T(z,K(y,u)),w)) | x = K(y,K(z,w)). K(x,K(y,z * u)) = K(x,K(z * u,L(T(y,z * u),u,z))). K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). (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)). x != (L(1 / y,z,u) \ 1) / y | x = L(1 / y,z,u) \ (1 / y). 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). x != L(1 / y,z,u) \ (1 / y) | x = L(y \ 1,z,u) \ (y \ 1). 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). x != L((y \ 1) \ 1,z,u) \ ((y \ 1) \ 1) | x = L(y,z,u) \ y. 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. 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. K(x \ L(x,y,z),u) = (L(x,y,z) \ x) * T(x \ L(x,y,z),u). (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,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. 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)). 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)). x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(y,z) = (y * z) / (z * T(y,x)). (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). x != T(y,z) * K(u,z) | x = T(y * K(u,z),z). (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). x != K(y,z) * T(u,y) | x = T(K(y,z) * u,y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). 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). x != T(T(y,y * z) * L(z,u,w),y) | x = T(y * L(z,u,w),y * z). L(x,y,z) * T(u,x) = T(u * L(x,y,z),u * x). T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). x * y != T(z * L(u,w,v5),z * u) | x \ (L(u,w,v5) * T(z,u)) = y. (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y). K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). x != K(y,z) * K(L(z,u,w),y) | x = a(w,u,K(y,z)). K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). x != K(y,(y / L(z,u,w)) * z) | x = K(y,z * (L(z,u,w) \ y)). a(x,y,K(z / L(u,y,x),u)) = K(z,u * (L(u,y,x) \ z)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). x != a(y,z,K(u \ w,u)) | x = a(y,z,K(w,u)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). L(x,a(y,z,K(u,w)),u) = x. 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))). L(x,a(y,z,K(u,w)),w) = x. x != K(y,y * z) | x = (y * K(z,y)) \ L(y,z,y). a(x,y,K(z,u)) = (z * K(L(u,y,x) \ u,z)) \ L(z,L(u,y,x) \ u,z). (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). x / (a(y,z,K(u,w)) * x) = K(u,u * (w \ L(w,z,y))). K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). x != y / (a(z,u,K(w,v5)) * y) | x = a(z,u,K(v5,w)). K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). a(x,y,a(z,u,K(w,v5))) = a(x,y,K(v5,w \ L(w,u,z))). a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). 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)). 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))). x != a(y,z,K(u \ (w \ v5),w)) | x = a(y,z,K(u \ v5,w)). a(x,y,a(z,u,K(w,v5))) = a(x,y,K(L(w,u,z) \ w,v5)). a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). x != K(y,z) * (y \ L(y,u,y)) | x = y \ L(T(y,z),u,y). a(x,y,K(z,u)) = z \ L(T(z,L(u,y,x) \ u),a(x,y,u),z). x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). K(a(x,y,z),u) * 1 = K(L(z,y,x) \ z,u). K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. K(L(x,y,z) \ x,u) = K(a(z,y,x),u). 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)) | x = K(y,u). K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). K(x,x * a(y,z,u)) = a(y,z,K(x,u)). 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). x != K(y,L(z \ L(z,u,w),z,w * u)) | x = K(y,a(w,u,z) \ 1). K(x,y \ L(y,z,u)) = K(x,a(u,z,y) \ 1). K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). T(x,a(y,z,u) \ 1) = x * K(x,u \ L(u,z,y)). x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). x != T(y,y * (z \ L(z,u,w))) | x = y * a(w,u,K(z,y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). x != T(T(y,y * z) * R(z,u,w),y) | x = T(y * R(z,u,w),y * z). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). 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). K(x * y,x * R(y,z,u)) = (x * R(y,z,u)) / (R(y,z,u) * T(x,y)). (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). x != (y * z) / (z * T(y,u)) | x = T(K(u,y) * K(y,z),z). K(x * y,x * R(y,z,u)) = T(K(y,x) * K(x,R(y,z,u)),R(y,z,u)). T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). x != K((y * z) \ 1,y * z) | x = K(y \ (z \ 1),z * y). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). 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). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ R(x,y,z),u) = u \ T(u * (x \ R(x,y,z)),u). x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). x != K(y,(z \ 1) * ((u \ z) * u)) | x = K(y,K(z,u)). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. L(x,K(y,z),a(K(y,u),w,v5)) = x. (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). x != (a(K(y,T(z,u)),w,v5) * K(y,z)) * (K(z,y) * u) | x = u * a(K(y,z),w,v5). a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). x != T(a(K(y,z),u * z,w),R(z,u,w)) | x = K(y * z,y * R(z,u,w)). a(K(x,T(y,R(y,z,u))),z * y,u) = K(x * y,x * R(y,z,u)). K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). x != K(y,(y / z) * u) | x = K(y,(z \ y) * u). a(K(x / y,y),z * y,u) = K(x,(y \ x) * R(y,z,u)). K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). x != K(y,(z \ y) * R(z,u,w)) | x = K(y,y * (z \ R(z,u,w))). a(K(x / y,y),z * y,u) = K(x,x * (y \ R(y,z,u))). K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). x != a(K(y \ z,y),u,w) | x = a(K(z,y),u,w). K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x). (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). x != K(y,z) | x = (y \ T(z,y)) \ (y \ z). a(K(x,y),z * y,u) = (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))). (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). x != R(a(K(y,z),u,w),v5,v6) | x = a(K(y,R(z,v5,v6)),u,w). a(K(x,y),z * y,u) = a(K(x,R(y,x * R(y,z,u),w)),z * y,u). a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). x != a(K(y,R(z,y * u,w)),v5,v6) | x = a(K(y,R(z,u,w)),v5,v6). a(K(x,y),z * y,u) = a(K(x,R(y,R(y,z,u),w)),z * y,u). a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). (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). T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). K(x,y \ R(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). x != a(K(y,K(z,u)),w * z,v5) | x = a(K(z,K(y,u)),w,v5). K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). x != K(y,K(z,u \ R(u,w,v5))) | x = K(y,K(z,R(u,w,v5) * (u \ z))). a(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w) * (x \ z))). K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). x != K(y,K(R(z,u,w),R(u,v5,v6) \ u)) | x = K(y,K(z,(u * w) / (R(u,v5,v6) * w))). a(K(x,K(R(y,z,u),z)),w,v5) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). x != K(y,K(R(z,u,w) \ z,R(v5,z,u * w))) | x = K(y,K(a(z,u,w),T(v5,z * (u * w)))). a(K(x,K(y,z)),u,w) = K(x,K(a(y,u,w),T(z,y * (u * w)))). K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). (a(x,a(y,z,u),x) \ a(K(x,y),z * y,u)) * w != a(K(x,y),z * y,u) | 1 = w. 1 = a(x,a(y,z,u),x). a(x,a(y,z,u),x) = 1. L(x,a(y,z,u),x) = x. a(x,y,z) * u = T(u * a(x,y,z),u). T(x * a(y,z,u),x) = a(y,z,u) * x. x * y != T(z * a(u,w,v5),z) | (a(u,w,v5) * z) / y = x. (a(x,y,z) * u) / (u * a(x,y,z)) = K(u,u * a(x,y,z)). K(a(x,y,z),u) = K(u,u * a(x,y,z)). K(x,x * a(y,z,u)) = K(a(y,z,u),x). K(x,x * a(y,z,u)) = K(x,a(y,z,u)). x != K(y,y * a(z,u,w)) | x = a(z,u,K(y,w)). K(x,a(y,z,u)) = a(y,z,K(x,u)). a(x,y,K(z,u)) = K(z,a(x,y,u)). x != a(y,z,K(u,z \ 1)) | x = 1. K(x,a(y,z,z \ 1)) = 1. T(x,a(y,z,u)) = x * a(y,z,K(x,u)). 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. a(x,y,K(z,u)) * (K(u,a(x,y,z)) * w) = w. T(x,a(y,z,z \ 1)) = x. x != K(y,a(z,u,u \ 1)) | x = K(y,z \ L(z,u,u \ 1)). 1 = K(x,y \ L(y,z,z \ 1)). K(x,y \ L(y,z,z \ 1)) = 1. T(a(x,y,y \ 1),z) = a(x,y,y \ 1). T(x \ L(x,y,y \ 1),z) = 1 * (x \ L(x,y,y \ 1)). K(a(x,y,z),u) = a(x,y,K(z,u)). a(x,y,K(z,u)) = K(a(x,y,z),u). K(a(x,y,z),u) != w | w = a(x,y,K(z,u)). K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. T(x \ L(x,y,y \ 1),z) = x \ L(x,y,y \ 1). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(R(x,x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). x != K(y \ (z * (((z \ u) \ 1) \ 1)),w) | x = K(y \ u,w). K(R(x,x \ y,y \ x),z) = K(((y \ x) * (x \ y)) \ x,z). K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). K((T(x,y) * ((x * y) \ y)) \ (x * y),z) = K(R(x * y,(x * y) \ y,y \ (x * y)),z). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). x != K((y * (z \ u)) \ (y * u),w) | x = L(K(T(z,u),w),u,y). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). L(K(x * y,T(z,x)),x,y) = R(K(y * x,z),x,T(y,x)). R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). K(x,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). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). 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) | x = K(z,y) * u. L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). x != K(y,z) * (K(y * z,u) * y) | x = K(y * z,u) * T(y,z). T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). 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). T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * y)) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). x != T(y,K(z,u)) * L(K(z,w),v5,v6) | x = T(y * L(K(z,w),v5,v6),K(z,u)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T((x * (K(z,u) * y)) * L(K(u,z),y,x),K(u,L(z,y,x))). T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = (x * T(y,K(z,u))) * K(z,K(u,x * y)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. (((x \ 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). R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). x != R(T(y / K(z,u),w),K(v5,v6),K(v6,v7)) | x = T(y * K(u,z),w). (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). T(x,y) * K(y \ 1,z) = T(x * K(y \ 1,z),y). T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). K(x,y \ 1) * T(z,y) = T(K(x,y \ 1) * z,y). T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). x != y * T(z,u) | x = (y * z) * K(z,u). T(K(x \ 1,y) \ z,x) = (K(y,x \ 1) * z) * K(z,x). (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). K(x,y) = K(K(y \ 1,z) \ x,y). K(K(x \ 1,y) \ z,x) = K(z,x). K(K(x,y \ 1) * z,y) = K(z,y). K(K(x,x \ y) * z,x / y) = K(z,x / y). K(x \ T(y,z \ 1),z) = K(x \ y,z). K(x * K(y,z \ 1),z) = K(x,z). K(x * K(y \ z,u),z \ y) = K(x,z \ y). x != K(y \ T(z,u \ 1),u) | x = K(((u \ 1) * y) \ (u \ z),u). K(x \ y,z) = K(((z \ 1) * x) \ (z \ y),z). K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). K((x \ y) \ z,x / y) = K((y / x) \ z,x / y). K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). K(x * (y \ z),z \ y) = K(x * (z / y),z \ y). K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). x != K(((y \ 1) * (z * y)) \ u,y) | x = K(L(z,y,y \ 1) \ u,y). K((x * y) \ (z * y),y) = K(L(x,y,y \ 1) \ z,y). K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). x != K((y / z) \ u,z / y) | x = K(((y / z) \ 1) * u,z / y). K((x \ y) \ z,x / y) = K(((y / x) \ 1) * z,x / y). K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). x != K((y * z) \ (u * z),z) | x = K(y \ u,z). K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). 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,T(z,u)) = K(L(x,z,z \ 1) \ y,T(z,u)). K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). K((x \ y) \ z,T(x,u)) = K(((x \ 1) * y) \ z,T(x,u)). K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). x != K((y \ z) \ u,T(y,w)) | x = K(z \ (y * u),T(y,w)). K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). K(((x \ 1) \ y) / z,x) = K(z \ (x * y),T(x,z)). K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). K((x * y) / z,x) = K(((x \ 1) \ y) / z,x). K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). K(((x \ 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 \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). x != K(y \ R(z \ 1,z,u),z \ 1) | x = K(u / (y * (z * u)),z \ 1). K(x \ (y \ 1),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). x != K(y / (z * (u * y)),u \ 1) | x = K(z \ ((u * y) \ y),u \ 1). K(x \ (y \ 1),y \ 1) = K(x \ ((y * z) \ z),y \ 1). K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). x != K((y \ 1) \ ((z * u) \ u),z \ 1) | x = K(y * ((z * u) \ u),z \ 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) | x = K(z \ y,z \ 1). K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). x != K(y * ((z * u) \ u),z \ 1) | x = K(y * R(z \ 1,z,u),z \ 1). K(x \ y,x \ 1) = K(y * R(x \ 1,x,z),x \ 1). K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). x != T(K(y \ z,y \ 1) / y,z) | x = R(1 / y,z,y \ 1). R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). R(1 / (x / y),z,y / x) = R(1 / (x / y),z,(x / y) \ 1). R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). x != (1 / y) \ R(1 / y,z,u) | x = y * R(y \ 1,z,u). T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). x != (y / z) * R((y / z) \ 1,u,w) | x = (y * R(y \ z,u,w)) / z. T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. x != (y * R(y \ z,u,y \ z)) / z | x = a(y \ z,u,y \ z). T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). 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 != a((y / z) \ 1,u,(y / z) \ 1) | x = a(y \ z,u,y \ z). K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). x != K((y \ z) \ u,y / z) * K(y / z,u) | x = a((y \ z) \ 1,u,(y \ z) \ 1). a(x \ y,z,x \ y) = a((y \ x) \ 1,z,(y \ x) \ 1). a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). a(x,y,x) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). x != a(y,z,y) * K(z,y) | x = K(y * z,y). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). K(x * y,x) = K(y * (((z * x) \ z) \ 1),x). K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). x != R(y,z,a(u,w,u)) | x = y. (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). x != (y * R(z,u,z)) \ ((z * y) * z) | x = L(T(z,y),u,z). T(x,a(y,z,u) \ x) = L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). x != L(T(y,a(z,u,w) \ 1),w \ L(w,u,z),y) | x = y * a(z,u,K(w,y)). T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). 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,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). x != T(T(y,z),a(u,w,z) \ y) | x = T(y,L(z,w,u)). T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). K(1 / x,x) \ ((1 / L(x,y,z)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (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,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (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 != (y \ 1) * T(K(y,z) * u,y \ 1) | x = K(y,z) * (u * (y \ 1)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). 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 \ 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)). x != T(y,K(z,u)) \ L(T(y,K(z,u)),w,v5) | x = T((y \ 1) * L((y \ 1) \ 1,w,v5),K(z,u * y)). T(x \ L(x,y,z),K(u,w)) = T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). 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 \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). x != K(y \ L(y,z,u),K(w * y,v5)) | x = K(v5,K(y * w,y \ L(y,z,u))). K(x,K(y,z \ L(z,u,w))) = K(y,K(z * x,z \ L(z,u,w))). K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). K(x,K(y * z,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))). x != K(y,K((z * u) * w,w \ L(w,u,z))) | x = K(y,K(z * (u * w),a(z,u,w) * (z * (u * w)))). K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). x != K(y,K(z * u,w \ L(w,u,z))) | x = K(y,K(z * u,a(z,u,w))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. x != K(y,K(a(z,u,w),z * (u * w))) | x = K(y,K(a(z,u,w),(z * u) * w)). K(x,K(y * z,a(y,z,u))) = K(x,K(a(y,z,u),(y * z) * u)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),(z * u) * w)) | x = K(a(z,u,w),T((((z * u) * w) \ 1) * ((y \ ((z * u) * w)) * y),z * (u * w))). K(x,K(y * z,a(y,z,u))) = K(a(y,z,u),T((((y * z) * u) \ 1) * ((x \ ((y * z) * u)) * x),y * (z * u))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),T(v5,z * (u * w)))) | x = a(K(y,K(z,v5)),u,w). K(x,K(y * z,a(y,z,u))) = a(K(x,K(y,(y * z) * u)),z,u). a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). a(K(x,K(y,z * u)),z,u) = K(y,K(x * z,a(x,z,u))). K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). K(x,K(y * z,a(y,z,u))) = 1. K(x,K(a(y,z,u),y * (z * u))) = 1. 1 * (x * (y * z)) = (1 / K(u,a(x,y,z))) * ((x * (y * z)) / (K(u,a(x,y,z)) \ 1)). (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). (x * (y * z)) * K(u,a(x,y,z)) = K(u,a(x,y,z)) * (x * (y * z)). K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). x != K(y,((z * u) * w) / (z * (u * w))) | x = R(K(y,z \ R(z,u,w)),R(z,u,w),u * w). K(x,a(y,z,u)) = R(K(x,y \ R(y,z,u)),R(y,z,u),z * u). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). K(x,a(y,z,u)) = a(K(x,R(y,R(y,z,u),z * u)),z * y,u). a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). x != a(K(y,R(z,R(z,u,w),v5)),u * z,w) | x = a(K(y,z),u * z,w). K(x,a(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,a(y,z,u)). x != K(y,a(z,u,w)) | x = K(y,y * a(z,u,w)). a(K(x,y),z * y,u) = K(x,x * a(y,z,u)). K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). x != a(K(y,z),u * z,w) | x = a(K(y,z),u,w). K(x,x * a(y,z,u)) = a(K(x,y),z,u). a(K(x,y),z,u) = a(y,z,K(x,u)). x != a(y,z,K(u,z \ u)) | x = 1. a(K(x,y),z,z \ x) = 1. x != a(K(y,z),z,u) | x = 1. a(x,x,K(y,z)) = 1. a(K(x,y),z,u) = a(x,z,K(y,u)). L(K(x,y),z,z) = K(x,y). L(x \ y,x,K(y,z)) = x \ y. L(x \ y,x,K(z,y)) = x \ y. L(x \ T(y,z),x,K(y,u)) = x \ T(y,z). x != L(y,z,K(u,u * w)) | x = L(y,z,K(u,w)). x \ (y * z) = L(x \ (y * z),x,K(y,z)). L(x \ (y * z),x,K(y,z)) = x \ (y * z). x != a(K(y,z),u,w) | x = K(y,y * a(z,u,w)). a(x,y,K(z,u)) = K(x,x * a(z,y,u)). K(x,x * a(y,z,u)) = a(x,z,K(y,u)). x != a(K(y,z),u,w) | x = a(z,u,K(y,w)). a(x,y,K(z,u)) = a(z,y,K(x,u)). a(K(x,y),z,u) = a(x,z,K(u,y)). x != a(y,z,K(u,w)) | x = K(u,a(y,z,w)). a(x,y,K(z,u)) = K(x,a(z,y,u)). x != a(y,z,K(u,z * u)) | x = 1. a(x,y,K(z,y * x)) = 1. a(x,y,K(z,u)) = a(u,y,K(x,z)). 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)) = L(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) / a(x,z,K(u,y)) = K(x,y) * (z * u). a(x,y,K(z,u)) = K(a(z,y,u),x). T(a(x,y,z),u) = a(x,y,z) * a(u,y,K(x,z)). a(x,y,z) * a(u,y,K(x,z)) = T(a(x,y,z),u). a(x,y,K(z,u)) * (x \ w) = T(x,a(z,y,u)) \ w. x \ (y * a(x \ y,z,K(u,w))) = T(x \ y,a(u,z,w)). a(x * (y * z),y,K(x,z)) * ((((x * y) * z) / (x * (y * z))) \ u) = a(x,y,z) \ u. a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). K(x,y) \ L(K(x,y),z,u) = a(x,z,K(u,y)). x != a(y,z,K(u,w)) | x = a(y,z,K(u,u \ w)). a(x,y,K(z,u)) = a(u,y,K(x,x \ z)). a(x,y,K(z,z \ u)) = a(z,y,K(u,x)). x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). x != a(y,z,K(u,w)) | x = a(u,z,K(y,w)). a(x,y,K(z,u)) = a(u,y,K(z,x)). a(x,y,K(z,u)) = K(u,a(z,y,x)). x != a(y,L(z,u,w),K(v5,z)) | x = 1. a(x,L(x,y,z),K(u,w)) = 1. x != a(y,z \ u,K(w,u \ z)) | x = 1. a(x \ y,y \ x,K(z,u)) = 1. K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). K(x,y) * a(x,z,K(y,u)) = L(K(x,y),z,u). K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. x * a(x,y,K(z,u)) = T(x,a(u,y,z)). T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). L(K(x,y),L(z,u,w),z) = K(x,y). L(K(x,y),z \ u,u \ z) = K(x,y). a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. x != a(y,z,K(u,w)) | x = a(y,z,K(u,w \ 1)). a(x,y,K(z,u)) = a(u,y,K(z,x \ 1)). a(x,y,K(z,u \ 1)) = a(u,y,K(z,x)). x != a(y,z,K(u,u \ w)) | x = a(y,z,K(u,w)). a(x \ y,z,K(x,u)) = a(u,z,K(x,y)). x != a(y,z,K(u,u * w)) | x = a(y,z,K(u,w)). a(x * y,z,K(x,u)) = a(u,z,K(x,y)). L(K(x,y),z,z \ x) = K(x,y). L(K(x,y),z,z \ 1) = K(x,y). L(K(x,y),z \ 1,z) = K(x,y). K(x,((y \ x) * y) \ z) = K(x,y \ ((y \ x) \ z)). (1 / x) * (x * K(y,z)) = K(y,z). x != y | x = T(T(y,z),z). L(K(x,y),z,z \ 1) = T(T(K(x,y),u),u). T(T(K(x,y),z),z) = L(K(x,y),u,u \ 1). x != L(K(y,z / u),u,u \ 1) | x = K(y,z * (u \ 1)). K(x,y / z) = K(x,y * (z \ 1)). K(x,y * (z \ 1)) = K(x,y / z). x * y != L(K(z,u),w,w \ 1) | x \ K(z,u) = y. (1 / x) \ K(y,z) = x * K(y,z). K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). x != L(K((y \ 1) \ z,u),y \ 1,y) | x = K(y * z,u). K((x \ 1) \ y,z) = K(x * y,z). x * y != L(K(z,u),w \ 1,w) | x \ K(z,u) = y. x \ K(y,z) = (x \ 1) * K(y,z). (x \ 1) * K(y,z) = x \ K(y,z). K(x * (y \ 1),z) = K(z,x / y). T(x,y * (z \ 1)) = x * K(x,y / z). x != (y / ((z * u) / z)) * K(z,u) | x = y / u. (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. x * (y * K(x * y,z)) = T(x * y,z). T(x * K(y * x,z),y) = y \ T(x * y,z). (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. (x \ K(y,z)) * K(z,y) = x \ 1. K(x * (y \ 1),z) = K(x / y,z). K(x * (y \ 1),z) != u | K(x / y,z) = u. x * K(y,z) = (K(z,y) / x) \ 1. (K(x,y) / z) \ 1 = z * K(y,x). K(x,y) * K(z,u) = (K(u,z) * K(y,x)) \ 1. (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). (x \ 1) * K(y,z) != u | u = x \ K(y,z). (x \ 1) * K(y,z) != u | x \ K(y,z) = u. x != K(y * (z \ 1),u) | x = K(y * (1 / z),u). K(x / y,z) = K(x * (1 / y),z). K(x * (1 / y),z) = K(x / y,z). K(x * y,z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x * y,z). K(x * (y \ 1),z) != u | K(z,x / y) = u. K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. 1 / (x * K(y,z)) = K(z,y) / x. ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). a(x,y,K(z,u \ w)) = a(z,y,K((z \ u) \ w,x)). a(x,y,K((x \ z) \ u,w)) = a(w,y,K(x,z \ u)). K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,x * u). a(x,y,K(z,u \ (w \ 1))) = a(w * u,y,K(z,x)). T(x,y * (z \ 1)) = T(x,y / z). T(x,y * (z \ 1)) != u | T(x,y / z) = u. x != T(y,z * (u \ 1)) | x = T(y,z * (1 / 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 / (1 / z)). T(x,y / (1 / z)) = T(x,y * z). T(x,y * (z \ K(z,u))) = T(x,y / T(z,u)). T(x,y * T(z \ 1,u)) = T(x,(y * K(u,z \ 1)) / z). T(x,(y * K(z,u \ 1)) / u) = T(x,y * T(u \ 1,z)). T(x,y * (z * K(u,z \ 1))) = T(x,y / T(z \ 1,u)). T(x * y,L(z,y,x)) = T(x * y,z). (x * (y * z)) / T(x * y,z) = L(z,y,x). L(x,y,z) = (z * (y * x)) / T(z * y,x). x != L(y \ T(z,u),y,K(z,u)) | x = (K(z,u) * y) \ z. x \ T(y,z) = (K(y,z) * x) \ y. (K(x,y) * z) \ x = z \ T(x,y). x \ y = (K(z,y) * x) \ T(y,z). (K(x,y) * z) \ T(y,x) = z \ y. (K(x,y) * z) * (z \ y) = T(y,x). T(x,y) / z = K(y,x) * (x / z). K(x,y) * (y / z) = T(y,x) / z. (K(x,y * z) * y) * z = T(y * z,x). K(x,y) * (x / z) = T(x,y) / z. K(x,y) * z = T(x,y) / (z \ x). T(x,y) / (z \ x) = K(x,y) * z. K(x,y) * (z \ x) = T(x,y) / T(z,z \ x). T(x,y) / T(z,z \ x) = K(x,y) * (z \ x). (K(x,y) * L(K(x,z),u,w)) * y = T(L(K(x,z),u,w) * y,x). (x * K(y,z * x)) * z = T(x * z,y). x * K(y,z * x) = z \ T(z * x,y). x \ T(x * y,z) = y * K(z,x * y). x != (y \ 1) * K(z,u) | x = y \ K(z,u). x \ T(x * (y \ 1),z) = y \ K(z,x * (y \ 1)). x \ T(x * y,z) != y * u | K(z,x * y) = u. x != L(y \ (z * u),y,K(z,u)) | x = (K(z,u) * y) \ (u * z). x \ (y * z) = (K(y,z) * x) \ (z * y). (K(x,y) * z) \ (y * x) = z \ (x * y). a(x,y,K(z,u)) != w | a(u,y,K(z,x)) = w. a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. a(x,y,K(z,u)) != w | a(z,y,K(x,u)) = w. L(K(x,y),z,z \ 1) != u | u = K(x,y). L(K(x,y),z,z \ 1) != u | K(x,y) = u. K(x,L(y,z,z \ 1)) != u | K(x,y) = u. K(x,y * (z \ 1)) != u | K(x,y / z) = u. K(x,(1 / y) * z) != u | K(x,y \ z) = u. T(x,y * (z * K(u,z \ 1))) != w | T(x,y / T(1 / z,u)) = w. L(x,K(y,T(z,x)),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(x,K(w,z))) = v5. a(x,y,K(z,z \ u)) != w | a(x,y,K(z,u)) = w. K(x,y * (1 / z)) != u | K(x,y / z) = u. K(x,y \ z) = K(x,(y \ 1) * z). K(x,(y \ 1) * z) = K(x,y \ z). K(x,y \ z) = K(x,(1 / y) * z). K(x,(1 / y) * z) = K(x,y \ z). K(x,(y \ 1) * z) != u | K(x,y \ z) = u. x != K(y,T(1 / z,u) \ w) | x = K(y,T(z \ 1,u) \ w). K(x,(T(1 / y,z) \ 1) * u) = K(x,T(y \ 1,z) \ u). x != K(y,((z \ 1) \ 1) * u) | x = K(y,z * u). K(x,(y \ 1) \ z) = K(x,y * z). K(x,(y / z) \ u) * K(x,K(u,z / y)) = K(x,u * ((y / z) \ 1)). x != K(y,z * u) | x = K(y,T(u * z,u)). K(x,(y \ 1) \ z) = K(x,T(z * y,z)). K(x,T(y * z,y)) = K(x,(z \ 1) \ y). T(x,(y \ 1) \ z) = x * K(x,y * z). L(K(x,y * (z \ u)),z \ u,z) = K(x,(z * (y \ 1)) \ u). K(x,T((y \ 1) \ z,u)) = T(K(x,y * z),u). K(x,(y \ 1) \ z) != u | K(x,y * z) = u. T(x,(y \ 1) \ z) = T(x,y * z). T(x,(y \ 1) \ z) != u | T(x,y * z) = u. x != T(y,T(1 / z,u) * w) | x = T(y,T(z \ 1,u) * w). T(x,(T(1 / y,z) \ 1) \ u) = T(x,T(y \ 1,z) * u). T(x,(y \ 1) * z) = T(x,y \ z). T(x,y) = T(x,z * ((z \ 1) * y)). T(x,y * ((y \ 1) * z)) = T(x,z). T(x,y \ z) = T(x,(1 / y) * z). T(x,(1 / y) * z) = T(x,y \ z). T(x,T(y \ 1,z) * u) = T(x,y \ (K(z,y \ 1) * u)). T(x,y \ (K(z,y \ 1) * u)) = T(x,T(y \ 1,z) * u). T(x,L(y,z \ 1,z)) = T(x,y). T(x,L(y,z,z \ 1)) = T(x,y). T(x,T((1 / y) * z,u)) = T(x,T(y \ z,u)). K(x,T(y \ ((z \ u) \ u),w) / w) = K(x,(y \ T(z,u)) * (1 / T(w,y \ ((z \ u) \ u)))). K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). K(x,y) * z != L(K(x,y),R(x,u,w),v5) | 1 = z. 1 = a(x,R(x,y,z),K(u,w)). a(x,R(x,y,z),K(u,w)) = 1. L(K(x,y),R(z,u,w),z) = K(x,y). x != a(y,z,K(u,K(w,v5))) | x = a(u,z,K(v5,K(y,w))). K(x,K(y,a(z,u,w))) = a(y,u,K(w,K(x,z))). a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). K(x,y) * a(x,z,K(u,y)) != w | w = L(K(x,y),z,u). K(x,y) * a(x,z,K(u,y)) != w | L(K(x,y),z,u) = w. a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). K(x,y) * L(K(x,y),z,u) = a(y,z,K(x,u)). K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u \ 1). x * y != L(K(z,u),z \ w,v5) | x \ L(K(z,u),w,v5) = y. K(x,y) \ L(K(x,y),z,u) = a(x,x \ z,K(y,u)). K(x,y) * a(x,z,K(y,u \ 1)) = L(K(x,y),z,L(u \ 1,u,w)). L(K(x,y),z,L(u \ 1,u,w)) = K(x,y) * a(x,z,K(y,u \ 1)). K(x,y) * a(x,z,1) = L(K(x,y),z,u \ L(u,w,w \ 1)). L(K(x,y),z,u \ L(u,w,w \ 1)) = K(x,y) * a(x,z,1). x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). x != (K(y,z) * K(u,z)) \ 1 | x = T(K(z,u) * K(z,y),K(y,z) * K(u,z)). K(x,y) * K(x,z) = T(K(x,y) * K(x,z),K(z,x) * K(y,x)). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). T(x,y * ((T(z,z \ 1) \ u) \ K(T(z,z \ 1) \ u,z))) = T(x,y / (u / ((z \ 1) \ 1))). x * (K(y,z) * (x \ y)) = T(y,T(z,x)). x \ T(y,T(z,x)) = K(y,z) * (x \ y). x \ T(y,z) = K(y,T(z,x)) * (x \ y). K(x,T(y,z)) * (z \ x) = z \ T(x,y). x * (K(y,(z / u) \ w) * (x \ y)) = T(y,T(T(u \ z,z) \ w,x)). T(x,T(T(y \ z,z) \ u,w)) = w * (K(x,(z / y) \ u) * (w \ x)). x * (K(y,z) * (x \ y)) != u | u = T(y,T(z,x)). x * (K(y,z) * (x \ y)) != u | T(y,T(z,x)) = u. x != K(y,T(z,u)) * (u \ y) | x = (u \ y) * K(y,z). x \ T(y,z) = (x \ y) * K(y,z). (x \ y) * K(y,z) = x \ T(y,z). K(x,y) * z != u \ T(x,y) | T(u \ x,K(x,y)) = z. T(x \ y,K(y,z)) = K(y,z) * (x \ T(y,z)). K(x,y) * (z \ T(x,y)) = T(z \ x,K(x,y)). (x \ T(y,z)) \ (x \ y) = K(z,y). (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). x * K(y,z) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = z * K(y,x). x / (y * K(z,x)) = T(x,z) / y. x / (y / (z / x)) = T(x,z / x) / (y / (x \ z)). T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). x != (1 / (y \ z)) * (y \ T(z,u)) | x = K((((y \ z) \ 1) * (y \ 1)) \ 1,u). K(x,y) = K((((z \ x) \ 1) * (z \ 1)) \ 1,y). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). K(x,T((y \ 1) \ z,u)) != w | K(x,T(y * z,u)) = w. T(x,T(T(1 / y,z) * u,w)) = T(x,T((y * K(z,y \ 1)) \ u,w)). T(x,T((y * K(z,y \ 1)) \ u,w)) = T(x,T(T(1 / y,z) * u,w)). T(x,T(T(1 / (y \ z),z) * u,w)) = T(x,T(((z * (y / z)) \ z) \ u,w)). T(x,T(((y * (z / y)) \ y) \ u,w)) = T(x,T(T(1 / (z \ y),y) * u,w)). K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. K(x,y) * a(y,z,K(x,u)) != w | w = L(K(x,y),z,u). K(x,y) * a(y,z,K(x,u)) != w | L(K(x,y),z,u) = w. x != K((y * ((z \ 1) \ 1)) \ u,w) | x = K((y * z) \ u,w). K(x,y) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y). K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). T(x,y) / ((1 / z) \ x) = K(x,y) / z. x != K(y,z) / z | x = 1 / T(z,y). T(x,y) / ((1 / y) \ x) = 1 / T(y,x). x != T(y,z) / (u \ y) | x = K(y,z) * u. K(x,y) / z = K(x,y) * (1 / z). K(x,y) * (1 / z) = K(x,y) / z. K(x,y) * z = K(x,y) / (z \ 1). K(x,y) / (z \ 1) = K(x,y) * z. K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). (K(x,y) * z) \ K(x,y) = z \ 1. R(K(x,y) * z,u,w) * (z \ 1) = (z \ 1) * R((z \ 1) \ K(x,y),u,w). (x \ 1) * R((x \ 1) \ K(y,z),u,w) = R(K(y,z) * x,u,w) * (x \ 1). (x \ y) \ K(x,z) = (T(x,z) \ y) \ 1. (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). T(K(x,y) / T(x \ z,u),x \ z) = ((T(x,y) \ z) \ 1) * K(u,x \ z). ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). a(x,y,K(z,u \ (z \ w))) != v5 | a(x,y,K(z,u \ w)) = v5. K(x,x \ y) = K(x,z \ ((z \ x) \ y)). K(x,y \ ((y \ x) \ z)) = K(x,x \ z). K(x * y,x \ (y \ z)) = K(x * y,(x * y) \ z). K(x * y,(x * y) \ z) = K(x * y,x \ (y \ z)). x * y != (z \ ((y \ (z * u)) * y)) * z | x = y \ (u * z). (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). K(x,y) * a(y,z,K(x,u \ w)) = L(K(x,y),z,(x \ u) \ w). x != K(y,z) * a(z,u,K(y,w)) | x = L(K(y,z),u,w). L(K(x,y),z,x * u) = L(K(x,y),z,u). K(x,y) * a(z * u,w,K(x,y)) = L(K(x,y),w,u \ (z \ 1)). x \ T(x * (y \ 1),z) = y \ K(z,x / y). x \ (T(x * (y \ 1),z) * R(T(x * (y \ 1),z) \ x,u,u \ 1)) = a((y \ K(z,x / y)) \ 1,u,u \ 1). L(K(x,y),z,u \ 1) = L(K(x,y),z,u). K(x,L(y,z,u \ 1)) = L(K(x,y),z,u). K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). x != K(y,z) \ L(K(y,z),u,w) | x = a(y,u,K(w,z)). a(x,x \ y,K(z,u)) = a(x,y,K(u,z)). a(x,y \ z,K(y,u)) = a(y,z,K(x,u)). a(x,x \ y,K(z,u)) = a(u,y,K(x,z)). a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. K(x,y) * a(x,z,K(u,y)) = L(K(x,y),u \ z,u). L(K(x,y),z \ u,z) = K(x,y) * a(x,u,K(z,y)). 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 * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). x \ (x / (1 / (y / x))) = (x / (1 / (x \ y))) / x. (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). x != T(1 / (y * K(z,u)),K(u,z)) | x = 1 / (K(z,u) * y). (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(u,w)) = K(x,y) / (K(w,u) * z). K((x * (y \ 1)) \ z,x / y) = K(x * (y \ 1),x \ ((y \ 1) \ z)). K(x * (y \ 1),x \ ((y \ 1) \ z)) = K((x * (y \ 1)) \ z,x / y). 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))). x != K(y,z) * a(y,u,K(w,z)) | x = L(K(y,z),u,w). L(K(x,y),z \ u,z) = L(K(x,y),u,z). K(x,y \ (z * u)) = L(K(x,(z \ y) \ u),y,z). L(K(x,(y \ z) \ u),z,y) = K(x,z \ (y * u)). L(K(x,y),z / u,u) = L(K(x,y),z,u). K(x,(y * z) \ u) = L(K(x,z \ (y \ u)),u,y). L(K(x,y \ (z \ u)),u,z) = K(x,(z * y) \ u). L(K(x,y),z,u) = L(K(x,y),u * z,u). L(K(x,y),z * u,z) = L(K(x,y),u,z). L(K(x,y),a(z,u,u \ 1),z) = L(K(x,y),R(z,u,u \ 1),z). L(K(x,y),z * u,1 / z) = L(K(x,y),L(u,z,z \ 1),1 / z). L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),u * z,1 / u). L(K(x,y),K(z,z \ u) * w,u) = L(K(x,y),(z * (u / z)) * w,u). L(K(x,y),T(1 / (z \ u),u),(1 / (z \ u)) \ z) = L(K(x,y),z,(1 / (z \ u)) \ z). L(K(x,y),z,u) = L(K(x,y),z * u,u). L(K(x,y),z * u,u) = L(K(x,y),z,u). x != L(y,z,u * (w / u)) | x = L(y,z,T(w,u)). L(K(x,y),(z * (u / z)) * w,z * (u / z)) = L(K(x,y),w,T(u,z)). L(K(x,(y * z) \ u),L(z,y,y \ 1),1 / y) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). x != L(K(y,z),L(u,w,v5),u) | x = K(y,z). K(x,(y * z) \ L(y,u,w)) = K(x,z \ (y \ L(y,u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(w,x))) = v5. K(x,y) * a(z,u,K(x,y)) != w | L(K(x,y),u,z) = w. L(K(x,y),z \ u,z) != w | L(K(x,y),u,z) = w. L(K(x,y),z / u,u) != w | L(K(x,y),z,u) = w. K(x,T((y \ z) * x,z)) != u | K(x,T((y \ z) * x,y)) = u. L(K(x,y),z,u \ 1) != w | L(K(x,y),z,u) = w. x \ (y * a(z,u,K(x,y))) = T(x \ y,a(x,u,z)). T(x,(y / z) * K(u,z \ 1)) = T(x,y * T(z \ 1,u)). K(x,T(y \ 1,z) \ u) != w | K(x,T(1 / y,z) \ u) = w. T(x,T(y \ 1,z) * u) != w | T(x,T(1 / y,z) * u) = w. x != T(T(y,K(z,u)),(u / z) * K(w,z \ 1)) | x = T(y,z \ (u * K(w,z \ 1))). T(T(x,K(y,z)),z * T(y \ 1,u)) = T(x,y \ (z * K(u,y \ 1))). x != y / a(z,u,K(w,v5)) | x = y * a(z,u,K(v5,w)). K(x,y) * (z * u) = ((K(x,y) * z) * u) * a(x,z,K(y,u)). ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). K(x,(y * (z \ 1)) \ u) != w | L(K(x,z * (y \ u)),u,y) = w. L(K(x,y),z,u \ L(u,w,w \ 1)) != v5 | K(x,y) = v5. (K(x,y) * L(K(x,y),z,u)) * y = T(T(y,L(x,z,u)),x). x != T(T(y,z),u) | x = T(T(y,u),z). (K(x,y) * L(K(x,y),z,u)) * y = T(T(y,x),L(x,z,u)). a(x,y,K(z,u)) * x = T(T(x,z),L(z,y,u)). T(T(x,y),L(y,z,u)) = a(x,z,K(y,u)) * x. K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. x != K(K(y,z) * K(y,u),K(u,y) * K(z,y)) | x = K(((y \ 1) \ K(u,y)) \ T(y,z),T(y,z) \ ((y \ 1) \ K(u,y))). 1 = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). a(x,y \ z,K(y,K(u,w))) * K(x,K(u,w)) = K(u,K(w,z \ (y * ((y \ z) * x)))). K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). (x \ (y * z)) * K(z,y) = x \ (z * y). (x * y) * K(y,z * x) = R(z,x,y) \ (y * (z * x)). R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). (x * (y * z)) / (z * T(x,y * z)) = R(y,z,x). R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). L(K(x,y),z,u \ w) = L(K(x,y),z,(x \ u) \ w). L(K(x,y),z,(x \ u) \ w) = L(K(x,y),z,u \ w). L(K(x,y),z,u \ (w \ 1)) != v5 | L(K(x,y),z,w * u) = v5. x != L(K(y,z),R(u,w,v5),u) | x = K(y,z). L(K(x,y),a(z,u,u \ 1),z) = K(x,y). K(x,y \ (z * a(z,u,u \ 1))) = K(x,(z \ y) \ a(z,u,u \ 1)). K(x,(y \ z) \ a(y,u,u \ 1)) = K(x,z \ (y * a(y,u,u \ 1))). x \ ((x * a(x,y,y \ 1)) * K(z,u)) = a(x,y,y \ 1) * K(z,u). K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). K(((x * y) \ x) \ z,y) = K(y * z,y). K(((x * y) \ x) \ (y \ z),y) = K(z,y). x != K(((y * z) \ y) \ (z \ ((1 / ((y * z) \ y)) \ u)),z) | x = K(z \ u,z). K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). x != K((1 / y) \ z,u) | x = K((y \ 1) \ z,u). K(x \ y,x) = K((((z * x) \ z) \ 1) \ y,x). K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). x != K((((y * z) \ y) \ 1) \ u,z) | x = K(u * ((y * z) \ y),z). K(x \ y,x) = K(y * ((z * x) \ z),x). K(x * ((y * z) \ y),z) = K(z \ x,z). x != K(y * ((z * u) \ z),u) | x = K(y * ((u * z) \ z),u). K(x \ y,x) = K(y * ((x * z) \ z),x). K(x * ((y * z) \ z),y) = K(y \ x,y). K(x * (y \ z),z \ y) = K((z \ y) \ x,z \ y). K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). x != K(y * (z \ u),u \ z) | x = K(y * (u / z),u \ z). K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). x != y * K(y * (z / u),z \ u) | x = ((1 / (u \ z)) \ y) * (1 / (u \ z)). ((x \ y) \ z) * (x \ y) = ((1 / (y \ x)) \ z) * (1 / (y \ x)). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). T(x,y / T(z \ 1,u)) != w | T(x,y / T(1 / z,u)) = w. L(K(x,y),z,L(u \ 1,u,w)) = K(x,y) * a(x,z,K(y,u)). x != K(y,z) * a(y,u,K(z,w)) | x = L(K(y,z),u,w). L(K(x,y),z,L(u \ 1,u,w)) = L(K(x,y),z,u). L(K(x,y),z,(u * w) \ u) = L(K(x,y),z,w). L(K(x,y),z,u \ w) = L(K(x,y),z,w \ u). L(K(x,y),z,u * w) = L(K(x,y),z,(u \ 1) \ w). L(K(x,y),z,(u \ 1) \ w) = L(K(x,y),z,u * w). L(K(x,y),z,(u \ 1) \ w) != v5 | L(K(x,y),z,u * w) = v5. x != L(y,z,1 / u) | x = L(y,z,u \ 1). L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),u * z,u \ 1). x != L(K(y,z),u,w \ 1) | x = L(K(y,z),u,w). L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),u * z,u). x != L(K(y,z),u * w,u) | x = L(K(y,z),w,u). L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),z,u). L(K(x,y),T((1 / z) * u,w),1 / z) = L(K(x,y),T(z \ u,w),z). T(x,T(T(y \ z,z) \ u,w)) != v5 | T(x,T((z / y) \ u,w)) = v5. T(x,T(K(y,z \ 1) * (z \ u),w)) = T(x,T(T(1 / z,y) * u,w)). K(x / y,x \ ((y \ 1) \ z)) = K((x * (y \ 1)) \ z,x / y). K((x * (y \ 1)) \ z,x / y) = K(x / y,x \ ((y \ 1) \ z)). K(x / y,(x * (y \ 1)) \ z) = K(x / y,x \ ((y \ 1) \ z)). K(x / y,(x * (y \ 1)) \ z) = K(y \ x,((y \ 1) \ z) / x). L(K(x / y,y * (x \ z)),z,x) = K(y \ x,((y \ 1) \ z) / x). L(K(x \ y,(y \ z) * x),z,y) = K(x \ y,((x \ 1) \ z) / y). L(K(x,y),z,T(u,w)) = L(K(x,y),(w * (u / w)) * z,T(u,w)). L(K(x,y),(z * (u / z)) * w,T(u,z)) = L(K(x,y),w,T(u,z)). (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). T(T(x,K(y,z)),z * T(y \ 1,u)) = T(x,(y \ z) * K(u,y \ 1)). K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. ((x \ K(x,y)) * T(x,z)) \ 1 = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. K(x,(y \ z) \ a(y,u,u \ 1)) = K(x,z \ R(y,u,u \ 1)). x != K(y,z \ R(u,w,w \ 1)) | x = K(y,z \ L(u,w,w \ 1)). K(x,(y \ z) \ a(y,u,u \ 1)) = K(x,z \ L(y,u,u \ 1)). x \ (R(x,y,y \ 1) * K(z,u)) = a(x,y,y \ 1) * K(z,u). R(x,y,y \ 1) * (x \ K(z,u)) = a(x,y,y \ 1) * K(z,u). R(K(x,y) * z,u,u \ 1) * (z \ 1) = a(K(x,y) * z,u,u \ 1) * K(x,y). x != ((y \ K(y,z)) * T(y,u)) \ 1 | x = y * (K(z,y) / T(y,u)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. x != (y \ 1) * R((y \ 1) \ z,u,w) | x = y \ R(y * z,u,w). R(K(x,y) * z,u,w) * (z \ 1) = z \ R(z * K(x,y),u,w). T(K(x,y) / T(x \ z,u),x \ z) != w | (T(x,y) \ z) \ K(u,x \ z) = w. x != R(K(y,z) * u,w,v5) * (u \ 1) | x = u \ R(u * K(y,z),w,v5). a(K(x,y) * z,u,u \ 1) * K(x,y) = z \ R(z * K(x,y),u,u \ 1). x \ R(x * K(y,z),u,u \ 1) = a(K(y,z) * x,u,u \ 1) * K(y,z). K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). x != a(y,z,K(u,K(w,v5))) * K(y,K(w,v5)) | x = K(w,K(v5,L(y,z,u))). K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). a(x,y,K(z,y * x)) * ((((z * y) * x) / (z * (y * x))) \ u) = a(z,y,x) \ u. 1 * ((((x * y) * z) / (x * (y * z))) \ u) = a(x,y,z) \ u. 1 * (T(a(x,y,z),x * (y * z)) \ u) = a(x,y,z) \ u. T(a(x,y,z),x * (y * z)) \ u = a(x,y,z) \ u. x * (y * z) = a(x,y,z) \ ((x * y) * z). a(x,y,z) \ ((x * y) * z) = x * (y * z). a(x,y,z) * (x * (y * z)) = (x * y) * z. x != L(y,z,(1 / u) \ w) | x = L(y,z,(u \ 1) \ w). L(K(x,y),z,(1 / (z \ u)) \ z) = L(K(x,y),T(1 / (z \ u),u),((z \ u) \ 1) \ z). L(K(x,y),T(1 / (z \ u),u),((z \ u) \ 1) \ z) = L(K(x,y),z,(1 / (z \ u)) \ z). x != L(y,T(1 / z,u),w) | x = L(y,T(z \ 1,u),w). L(K(x,y),z,(1 / (z \ u)) \ z) = L(K(x,y),T((z \ u) \ 1,u),((z \ u) \ 1) \ z). L(K(x,y),T((z \ u) \ 1,u),((z \ u) \ 1) \ z) = L(K(x,y),z,(1 / (z \ u)) \ z). L(K(x,y),T((z \ u) \ 1,u),(z \ u) * z) = L(K(x,y),z,(1 / (z \ u)) \ z). x != L(y,z,(u \ w) * u) | x = L(y,z,T(w,u)). L(K(x,y),z,(1 / (z \ u)) \ z) = L(K(x,y),T((z \ u) \ 1,u),T(u,z)). L(K(x,y),T((z \ u) \ 1,u),T(u,z)) = L(K(x,y),z,(1 / (z \ u)) \ z). x != L(K(y,z),L(u,w,w \ 1),1 / w) | x = L(K(y,z),u,w). K(x,L(y,z,z \ 1) \ ((1 / z) * u)) = L(K(x,(z * y) \ u),y,z). L(K(x,(y * z) \ u),z,y) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). L(K(x,(y * z) \ u),z,y) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x / (x / y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. K(x,y \ (z \ ((u \ w) \ w))) = K(x,(z \ T(u,w)) * (1 / T(y,z \ ((u \ w) \ w)))). K(x,(y \ T(z,u)) * (1 / T(w,y \ ((z \ u) \ u)))) = K(x,w \ (y \ ((z \ u) \ u))). K(x,(y \ T(z,u)) * (1 / T(w,y \ T(z,u)))) = K(x,w \ (y \ ((z \ u) \ u))). K(x,(y \ T(z,u)) / T(w,y \ T(z,u))) = K(x,w \ (y \ ((z \ u) \ u))). K(x,y \ (z \ T(u,w))) = K(x,y \ (z \ ((u \ w) \ w))). K(x,y \ (z \ ((u \ w) \ w))) = K(x,y \ (z \ T(u,w))). K(x,y \ (z \ T(u,u \ w))) = K(x,y \ (z \ T(u,w))). x != K(y,z \ (T(u,T(w,v5)) \ T(w,w \ v5))) | x = K(y,z \ (((w \ v5) \ v5) / u)). K(x,y \ (T(z,T(u,w)) \ T(u,w))) = K(x,y \ (((u \ w) \ w) / z)). x != K(y,z \ (T(u,w) \ w)) | x = K(y,z \ (w / u)). K(x,y \ (((z \ u) \ u) / w)) = K(x,y \ (T(z,u) / w)). T(x,y * ((T(z,z \ 1) \ u) \ K(z,T(z,z \ 1) \ u))) = T(x,y / (u / ((z \ 1) \ 1))). (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). T(x,y * ((T(z,z \ 1) \ u) \ K(z,z \ u))) = T(x,y / (u / ((z \ 1) \ 1))). (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / ((x * y) / x)) \ (y \ 1) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). x != (1 / ((y * z) / y)) \ (z \ 1) | x = (T(z,y) \ 1) * z. (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). x != T((y \ z) * y,u) \ T(z,u) | x = K(y,T(y \ z,u)). K(x,y * ((x * z) \ z)) = K(x,T(x \ y,z \ (x \ z))). K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). x != K(y,T(z,u \ (y \ w))) | x = K(y,T(z,u \ w)). K(x,y * ((x * z) \ z)) = K(x,T(x \ y,z \ z)). K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). K(x,x \ y) = K(x,y * ((x * z) \ z)). K(x,y * ((x * z) \ z)) = K(x,x \ y). x != K(y,z * ((y * u) \ u)) | x = K(y,R(y \ 1,y,u) * z). K(x,x \ y) = K(x,R(x \ 1,x,z) * y). K(x,R(x \ 1,x,y) * z) = K(x,x \ z). x != K(y,R(y \ 1,y,z) * u) | x = K(y,u * (z / (y * z))). K(x,x \ y) = K(x,y * (z / (x * z))). K(x,y * (z / (x * z))) = K(x,x \ y). x != K(y \ z,u * (w / ((y \ z) * y))) | x = K(y \ z,u * (w / z)). K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). x != y * K(z \ u,y * (z / u)) | x = (1 / (u \ z)) * (y / (1 / (u \ z))). (x \ y) * (z / (x \ y)) = (1 / (y \ x)) * (z / (1 / (y \ x))). (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). x != (((y * z) \ y) \ 1) / ((z \ 1) \ 1) | x = (1 / ((y * z) \ y)) / z. 1 / (x * ((y * x) \ y)) = (1 / ((y * x) \ y)) / x. (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). x != y / (z * ((u * z) \ u)) | x = (z * ((u * z) \ u)) \ y. (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. x != (1 / ((y * z) \ y)) / z | x = z \ (1 / ((y * z) \ y)). (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)) \ 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 != (y \ (1 / ((z * y) \ z))) * T(y,u) | x = T((1 / ((z * y) \ z)) * K(y,u),y). (x * ((y * x) \ y)) \ T(x,z) = T((1 / ((y * x) \ y)) * K(x,z),x). 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(1 / ((x * y) \ x),z) = (y * ((x * y) \ x)) \ T(y,z). (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). x != (y * ((z * y) \ z)) \ T(y,u) | x = 1 / ((z * T(y,u)) \ z). T(1 / ((x * y) \ x),z) = 1 / ((x * T(y,z)) \ x). 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). 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)). x != K(y,T((z \ 1) \ u,w)) | x = K(y,T(z * u,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,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) \ 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) | x = K(y,T(z \ y,u)). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). K(x,T((y \ z) * x,u)) = K(x,T((z \ y) \ x,u)). K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). K(x,(y / z) \ x) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). K(x,T(y * x,z)) = K(x,(z / (z * y)) \ x). K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). x != K(y,T(y * ((z \ u) \ u),w)) | x = K(y,T(y * T(z,u),w)). K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). x != K(T(y,z),u \ T(y,w)) | x = K(y,T(u \ T(T(y,v5),w),z)). K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ T(T(x,w),y),y)). K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). x != K(y,T(z \ T(T(y,u),w),v5)) | x = K(y,T(z \ y,v5)). 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)). x != K(y,T(T(z * T(y,u),w),v5)) | x = K(y,T(T(y * z,w),v5)). K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). x != K(y,T((z / (u * z)) \ y,u)) | x = K(y,R(1 / (1 / (1 / u)),u,z) \ y). K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). x != K(y,R(1 / z,u,w) \ v5) | x = K(y,R(z \ 1,u,w) \ v5). K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). x != K(y,R(1 / z,u,w) \ y) | x = R(K(y,y * z),u,w). K(x,T(x * T(y,z),z)) = R(K(x,x * y),y,z). R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). x != R(R(K(y,z),u,w),y * v5,v6) | x = R(K(R(y,v5,v6),z),u,w). K(R(x,y,z),T(x * T(u,w),w)) = R(K(R(x,y,z),x * u),u,w). R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). x != K(R(y,z,u),(w / v5) \ y) | x = K(R(y,z,u),y * (v5 / w)). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). x != K(R(y,z,u),T(y * T(w,v5),v5)) | x = R(K(R(y,z,u),y * w),w,v5). K(R(x,y,z),x * u) = R(K(R(x,y,z),x * u),u,w). R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). x != K(R(y,z,u),w) | x = K(y,R(w,z,u)). K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). x != K(y,R(R(y * z,z * u,w),z,u)) | x = K(y,R(y * z,u,w)). K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). x != K(y,R(y * z,z * u,w)) | x = K(y,y * R(z,u,w)). K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). T(x,x * R(y,z,u)) = K(x,R(x * y,z,u)) * x. K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). x != T(y,y * R(z,u,w)) | x = L(T(y,R(z,u,w)),z,T(y,R(z,u,w))). T(x,R(x * y,z,u)) = L(T(x,R(y,z,u)),y,T(x,R(y,z,u))). L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). T(x,R(x * y,z,u)) = L(T(x,R(y,z,u)),y,x). L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). x != L(T(y,R(z,u,w)),z,y) | x = T(y,y * z) * a(K(y,z),u,w). T(x,R(x * y,z,u)) = T(x,x * y) * a(K(x,y),z,u). T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). x \ T((x * (y \ 1)) * R((x * (y \ 1)) \ T(x,z),u,u \ 1),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). x \ T(x * ((y \ 1) * R((y \ 1) \ (x \ T(x,z)),u,u \ 1)),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). x \ T(x * ((y \ 1) * R((y \ 1) \ K(x,z),u,u \ 1)),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). x \ T(x * (y \ R(y * K(x,z),u,u \ 1)),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). L(x,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). x != (K(y,z) * K(u,z)) * w | x = K(u,z) * (K(y,z) * w). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(z,y) * (K(y,z) * (K(y,u) * x))). K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). K(x,y) * (K(y,x) * z) = L(z,K(y,u) * K(y,x),K(u,y) * K(x,y)). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). x != L(y,z / T(1 / u,w),v5) | x = L(y,z / T(u \ 1,w),v5). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T((1 / x) \ 1,z),x). L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). L(T(x,R(x \ y,z,u)),y / T(x,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). x != L(T(y,z),u / T(y,w),y) | x = L(T(y,z),y \ u,y). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). x != L(T(y,R(z,u,w)),z,y) | x = T(y,R(y * z,u,w)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). x != K(y,1 / y) * (z * L(y,u,w)) | x = z * L((y \ 1) \ 1,u,w). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (1 / (1 / (1 / L(y,z,u))))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). x != K(y,1 / (z / (z / (1 / u)))) | x = K(y,T(u,z)). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ u = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x \ K(x,y)) * T(x,z)) * u = (x * (K(y,x) / T(x,z))) \ u. (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x != L(y,z * (K(u,w) / T(w,v5)),v6) | x = L(y,z * (T(w,u) \ K(v5,w)),v6). ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)). L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x != L(y,K(z,u) * K(w,u),T(u,w)) | x = y. ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),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)). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). x != K(y,z) * T(u,T(y * u,z)) | x = T(u,y * u) * K(y,z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). x != T(y,T(z,z \ 1) * u) | x = T(y,z * u). T(x,y * x) * K(y,z) = T(K(y,z) * x,y * x). T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). x != T(y,y * z) * a(y,u,K(w,z)) | x = T(y,R(y * z,u,w)). T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). 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)). x != T(T(y,y * z),a(u,w,z) \ y) | x = T(y,L(z * y,w,u)). T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). x != T(y,R(y * (z / T(1 / (1 / y),u)),w,v5)) | x = T(y,R(z,w,v5)). T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). x != T(y,L(z * (u * (1 / w)),v5,v6)) | x = T(y,L(z * (u * (w \ 1)),v5,v6)). T(x,R(y,z,u)) = T(x,L(y * (x * (T(x,w) \ 1)),z,u)). T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). T(x,L(y,z,u)) = T(x,R(y,z,u)). T(x,R(y,z,u)) = T(x,L(y,z,u)). x * y != T(z,R(u,w,v5)) | x \ T(z,L(u,w,v5)) = y. x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). K(x,L(y,z,u)) = K(x,R(y,z,u)). K(x,R(y,z,u)) = K(x,L(y,z,u)). x != K(y,L(z,u,w)) | x = L(K(y,z),u,w). K(x,R(y,z,u)) = L(K(x,y),z,u). L(K(x,y),z,u) = K(x,R(y,z,u)). K(x,y / (z * u)) = K(x,L((y / u) / z,z,u)). K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). K(x,T(y / (z * u),z)) = K(x,L(z \ (y / u),z,u)). K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). x != K(y,R(z,u,w)) | x = K(R(y,u,w),z). L(K(x,y),z,u) = K(R(x,z,u),y). x != K(y,R(z,u,w)) | x = R(K(y,z),u,w). L(K(x,y),z,u) = R(K(x,y),z,u). R(K(x,y),z,u) = L(K(x,y),z,u). L(K(x,y / z),z,u) = K(x,(y * u) / (z * u)). L(K(x,(y / z) / u),u,z) = K(x,y / (u * z)). L(K(x,y / (z / u)),z / u,u) = K(x,(y * u) / z). L(K(x,T(y / z,z * u)),z,u) = K(x,(z * u) \ (y * u)). L(K(x,T(y / z,u)),z,z \ u) = K(x,u \ (y * (z \ u))). L(K(x,T(T(y,z),z * u)),z,u) = K(x,(z * u) \ ((z * y) * 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 != R(K(y,y \ z),z,u) | x = ((y * (z / y)) * u) / (z * u). L(K(x,x \ y),y,z) = ((x * (y / x)) * z) / (y * z). ((x * (y / x)) * z) / (y * z) = L(K(x,x \ y),y,z). L(K(x / (y / z),u),x,z) = K((x * z) / y,u). L(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). x != R(K(y,z \ 1),u,w) | x = K(y,R(z,u,w) \ 1). L(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. L(L(K(x,y),z,u),w,v5) * (z * u) = (L(K(x,y),w,v5) * z) * u. L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). K((x * y) / (z * y),u) = K(L(x / z,z,y),u). K(L(x / y,y,z),u) = K((x * z) / (y * z),u). K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). L(K(x,T(y / z,u) \ 1),z,z \ u) = K(x,(u \ (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,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). x != K(y,z / ((u \ w) * u)) | x = K(y,z / T(w,u)). L(K(x,y / (z \ u)),z \ u,z) = K(x,(y * z) / T(u,z)). L(K(x,(y / z) / u),u,z) = K(y / (u * z),x). x != L(K(y,T(z,u \ w)),u \ w,u) | x = w \ (u * (K(y,z) * (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)). L(K(x,y),z,(y \ z) \ u) = K(x,(z * ((y \ z) \ u)) / u). L(K(x,(L(K(y,z),u,w) \ v5) \ (u * w)),u * w,L(K(y,z),u,w)) = K(x,v5 \ ((K(y,z) * u) * w)). K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. (K(x,y * z) * y) * z != u | T(y * z,L(x,y,z)) = u. K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). L(K(x,(y / z) / u),u,z) != w | K(x,y / (u * z)) = w. K(x,(y * z) \ (y * (u / y))) = K(x,T(u / (z * y),z)). K(x,T(y / (z * u),z)) = K(x,(u * z) \ (u * (y / u))). K(x,(y * z) \ K(y,1 / y)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). L(K(x,y / (z / u)),z,u) = K(x,(y * u) / z). x != L(K(y,y \ z),z,u) | x = K(y,y \ z). ((x * (y / x)) * z) / (y * z) = K(x,x \ y). K(x,x \ y) * (y * z) = (x * (y / x)) * z. K(x,x \ y) * z = (x * (y / x)) * (y \ z). (x * (y / x)) * (y \ z) = K(x,x \ y) * z. x * y != K(z,z \ u) * (u * w) | x \ ((z * (u / z)) * w) = y. ((x \ y) \ y) \ ((x * (y / x)) * z) = x \ (y * z). T(x \ y,(x * (y / x)) * z) = T(x \ y,y * z). x * y != K(z,u) * (T(z,u) * w) | x \ (z * w) = y. (x * (y / x)) \ (x * z) = y \ (T(x,x \ y) * z). K(x,y \ (T(z,z \ y) * u)) = K(x,T(y,z) \ (z * u)). T(x * y,L(z,x,y)) = T(x * y,z). R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). L(K(x,T(y,z) / u),u,z) != w | K(x,(z * y) / (u * z)) = w. x != K(y,z \ (u * (w / u))) | x = K(y,z \ T(w,u)). K(x,T(y / (z * u),z)) = K(x,(u * z) \ T(y,u)). K(x,T(y / (z * u),T(u,z))) = K(x,(z * T(u,z)) \ T(y,z)). L(K(x,(y / z) \ u),z \ y,z) = K(x,T(y,z) \ (z * u)). L(K(x,y / z),z,z \ x) = K(x,x \ (y * (z \ x))). K(x,L(K(y,z / u),u,u \ y)) = K(x,K(y,z * (u \ y))). x != L(K(y,z / (u \ w)),u \ w,u) | x = K(y,T(w \ (u * z),z)). K(x,(y * z) / T(u,z)) = K(x,T(u \ (z * y),y)). K(x,T(y \ (z * u),u)) = K(x,(u * z) / T(y,z)). L(K(x,y),z,(x \ z) \ u) = K(y,(z * ((x \ z) \ u)) / u). L(K(x,(y / z) \ u),y,z) = K(x,T(y,z) \ (z * u)). L(K(x,K(y,z / u)),u,u \ y) = K(x,K(y,z * (u \ y))). L(K(x,T(y,z)),u,(x \ u) \ z) != w | K(y,z \ (u * ((x \ u) \ z))) = w. L(K(x,(y * z) / u),u,z) != w | K(x,(z * (z * y)) / (u * z)) = w. K(x,T(y / (z * u),T(u,z))) = K(x,(u * z) \ T(y,z)). L(K(x,T(y \ z,z * u)),z,u) = K(x,(z * u) \ ((z * (z / y)) * u)). K(x,(y * z) \ ((y * (y / u)) * z)) = L(K(x,T(u \ y,y * z)),y,z). (L(K(x,y),z,u) * w) * v5 != v6 * (w * v5) | L(L(K(x,y),w,v5),z,u) = v6. L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). x != L(K(y,z),u,w) * v5 | x = T(v5 * L(K(y,z),u,w),K(z,L(y,u,w))). x * T(y,K(z,u) * x) = T((y * (K(z,u) * x)) * L(K(u,z),x,y),K(z,L(u,x,y))). T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). L(K(x,T(y / z,u) \ 1),z,z \ u) = K(x,(y * (z \ u)) \ u). L(K(x,T((y / z) \ 1,u)),z,z \ u) = K(x,(y * (z \ u)) \ u). L(K(x,T(y / z,u)),y,y \ u) = K(x,(z * (y \ u)) \ u). ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(z,x,y). a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). x != (y * z) \ (y * u) | x = L(z \ u,z,y). a(x,y,z) = L(x \ R(x,y,z),x,y * z). ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). a(x,K(y,T(z,u)),u) = L(x \ R(x,K(y,T(z,u)),u),x,u * K(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(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). K(x,y \ (z * ((u \ z) \ y))) = L(K(u,T(x,y)),z,z \ y). K(x,y \ (z * ((u \ z) \ y))) = L(K(x,T(u,y)),z,z \ y). K(x,y \ (z * (u \ y))) = L(K(x,T(z / u,y)),z,z \ y). L(K(x,T(y / z,u)),y,y \ u) = K(x,u \ (y * (z \ u))). x != L(K(y,T(z / u,w)),z,z \ w) | x = K(y,(u * (z \ w)) \ 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,(y * (z \ L(y,u,u \ 1))) \ L(y,u,u \ 1)) = K(x,L(y,u,u \ 1) \ (z * T(y \ L(y,u,u \ 1),w))). K(x,L(y,z,z \ 1) \ (u * T(y \ L(y,z,z \ 1),w))) = K(x,(y * (u \ L(y,z,z \ 1))) \ L(y,z,z \ 1)). x != K(y,T(z,u) \ 1) | x = K(y,T(z \ 1,u)). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). x != K(y,T((z / u) \ 1,w)) | x = K(y,T(u / z,w)). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). K(x,(y * z) \ (y * (u / y))) = K(x,T(u / (z * y),u / y)). K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). x != K(y,((z \ u) * z) \ w) | x = K(y,T(u,z) \ w). K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). K(x,T(y / z,u)) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). x != K(y,T(z,u \ z) \ w) | x = K(y,T(z,u) \ w). K(x,T(y / z,T(z,u) / u)) = K(x,T(z,u) \ (T(u,z) * (y / T(u,z)))). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). 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)). L(K(x,(L(K(y,z),u,w) * v5) \ (u * w)),u * w,L(K(y,z),u,w)) = K(x,v5 \ ((K(y,z) * u) * w)). x != K(y,(z * u) \ L(z,w,v5)) | x = K(y,u \ (z \ L(z,w,v5))). K(x,L(y,z,z \ 1) \ (u * T(y \ L(y,z,z \ 1),w))) = K(x,(u \ L(y,z,z \ 1)) \ (y \ L(y,z,z \ 1))). K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). x != K(y,T(z / u,z / (u * w))) | x = K(y,T(z / u,T(w,u))). K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). x != K(y,(z * K(u,w \ 1)) \ v5) | x = K(y,(z * K(u,w)) \ v5). K(x,T(y / z,T(u,z))) = K(x,(z * K(z * u,u)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). x != K(y,(z * K(u * w,w)) \ v5) | x = K(y,(z * K(u,w)) \ v5). K(x,T(y / z,T(u,z))) = K(x,(z * K(z,u)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). K(x,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,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). x != K(y,T(z,z \ u) \ w) | x = K(y,((z \ u) \ u) \ w). K(x,T(y / (z * u),(z * u) \ u)) = K(x,(((z * u) \ u) \ u) \ T(y,u * K(z \ 1,u * z))). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). 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,u)) = T(y,K(z,u) * x). x \ T(y * T(x,K(z,u)),K(u,z * u)) = T(y,K(z * u,u) * x). x \ T(y * T(x,K(z,u \ 1)),K(z,u)) = T(y,K(z,u \ 1) * x). x * y != T(z,K(u,w) * v5) | x \ (v5 \ T(z * T(v5,K(u,w)),K(u,w))) = y. a(x,y,z) \ (u \ T(a(x,y,z) * T(u,K(w,v5)),K(w,v5))) = a(K(w,v5) * u,y,K(x,z)). x != y \ T(z * T(y,K(u,w)),K(u,w)) | x = T(z,K(w,u) * y). T(x,K(y,z) * u) = T(x,K(z,y) * u). x * 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). x \ T(y * T(x,K(z \ 1,u)),K(1 / z,u)) = T(y,K(1 / z,u) * x). 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 \ T(y * T(x,K(z,u)),K(z,u)) != w | w = T(y,K(z,u) * x). x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(z,u) * x) = w. T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,u) * x). T(x,K(y,z) * u) = T(x,K(y * z,z) * u). T(x,K(y * z,z) * u) = T(x,K(y,z) * u). T(x,K(y * z,y) * u) = T(x,K(z,y) * u). 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)). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u \ 1) * x). x != T(y,K(z,u) * w) | x = T(y,K(u,z) * w). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x). T(x,K(y,z \ 1) * u) != w | T(x,K(y,z) * u) = w. 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). T(x,y * K(z \ 1,u)) = T(x,K(z,u) * T(y,K(u,z \ 1))). T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). T(x,y * K(z,u)) = T(x,y * K(z \ 1,u)). T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). K(x,(((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 * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). K(x,(y * K(z \ 1,y * z)) \ T(u,T((y * z) \ y,y * z))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). x != K(y,z \ T(u,w \ (v5 \ w))) | x = K(y,z \ T(u,T(v5,w))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). x != K(y,(z * K(u \ 1,w)) \ v5) | x = K(y,(z * K(w,u)) \ v5). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). x != K(y,T(z,u) \ T(w,T(u,z))) | x = K(y,T(w / z,u \ z)). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,u * z)) = K(x,T(y / z,u \ z)). K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). K(x,T(y,z \ u)) = K(x,T((y * u) / u,z * u)). K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). K(x,T(y,z * u)) = K(x,T(y,z \ 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,z)) = K(x,T(y,u * (u * z))). K(x,T(y,z * (z * u))) = K(x,T(y,u)). x != K(y,T(z,u \ w)) | x = K(y,T(z,u * w)). K(x,T(y,z * u)) = K(x,T(y,u * z)). K(x,y) * K(x,T(y,z * u)) = K(x,K(y,u \ z)). K(x,T(y,z)) = K(x,T(y,(u \ z) * u)). K(x,T(y,(z \ u) * z)) = K(x,T(y,u)). L(K(x,T(y \ z,y * u)),y,u) = K(x,(u * z) / (u * y)). L(K(x,T(y / z,u * z)),z,u) = K(x,(z * u) \ (y * u)). L(K(x,T(T(y,z),u * z)),z,u) = K(x,(z * u) \ ((z * y) * u)). K(x,T(y,T(z,u))) = K(x,T(y,z)). T(K(x,y),T(z,u)) = K(x,T(y,z)). K(x,T(y,T(z,u))) = T(K(x,y),z). x != K(y,T(z / (u * w),T(w,u))) | x = K(y,(w * u) \ T(z,u)). K(x,T(y / (z * u),u)) = K(x,(u * z) \ T(y,z)). K(x,T(y,z \ u)) = K(x,T(y,u / z)). K(x,T(y,z / u)) = K(x,T(y,u \ z)). K(x,y) * K(x,T(y,z)) = K(x,K(y,T(z,u))). K(x,K(y,T(z,u))) = K(x,y) * K(x,T(y,z)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. x != K(((y \ z) * y) / u,T(w,y \ z)) | x = z \ (y * (K((y \ z) / (u / y),w) * (y \ z))). K(((x \ y) * x) / z,T(u,y / x)) = y \ (x * (K((x \ y) / (z / x),u) * (x \ y))). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). K(x,T(y,z / u)) = K(x,T(y,u * z)). K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. x != K(y,z) * K(y,T(z,u)) | x = K(y,K(z,u)). K(x,K(y,T(z,u))) = K(x,K(y,z)). K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. K(x,K(y,T(z,u))) = K(x,K(z,y)). K(K(x,y),T(z,u)) = K(x,K(y,z)). x != K(y,K(z,T(1 / L(1 / u,w,v5),v6))) | x = K(y,T(L(K(u,z),w,v5),v6)). K(x,K(y,1 / L(1 / z,u,w))) = K(x,T(L(K(z,y),u,w),v5)). K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). K(x,K(y,z \ u)) = K(x,K(y,u / z)). K(x,K(y,z / u)) = K(x,K(y,u \ z)). K(x,K(y \ z,u)) = K(x,K(u,z / y)). K(x,K(T(y,z),u)) = K(x,K(y,u)). x * K(y,K(z,u)) = K(y,K(z,u)) * x. K(x,K(y,z)) * u = u * K(x,K(y,z)). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). K(x,K(y,z * u)) = K(x,K(y,u * z)). K(x,K(y,z)) * K(y,T(z,u) * x) = K(y,x * T(z,u)). K(x,K(y,z)) * K(y,(u * (z / u)) * x) = K(y,x * (u * (z / u))). x * K(y,K(z,u)) = K(y,K(u,z)) * x. K(x,K(y,z)) * u = u * K(x,K(z,y)). K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z * T(y,u)). K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). K(x,K(y,z)) * K(x,T(y,u) \ z) = K(x,z / T(y,u)). K(x,K(y,z / u)) = K(x,K(y,z \ u)). x != K(y,K(z / u,(w * z) \ K(w,1 / w))) | x = K(y,K(z \ (1 / w),L(z / u,u,w))). K(x,K(y / z,K(u,1 / u) / (u * y))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). x != K(y,K(y / z,(u * w) \ v5)) | x = K(y,K(w \ (u \ v5),L(z,w,u))). K(x,K(x / y,z / (u * w))) = K(x,K(w \ (u \ z),L(y,w,u))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). K(x,K(y,z \ u)) != 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)). L(K(x,K(y,z \ u)),z,z \ y) = K(x,K(y,u * (z \ y))). K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. K(x,T(y,z)) * u = (K(x,y) * u) * K(x,K(y,z)). (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. K(x,K(y,z)) \ u = u * K(x,K(y,z)). x != (y * z) * K(u,K(w,L(v5,z,y))) | x = y * (z * K(u,K(w,v5))). K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). T(x,K(y,K(z,u))) = x. (K(x,K(y,z)) * u) * w != u * K(x,K(y,z)) | 1 = w. 1 = K(K(x,y),K(z,u)). K(K(x,y),K(z,u)) = 1. K(x,y) * z != T(u,T(x,y)) * K(x,y) | z = T(u,x). T(x,T(y,K(z,u))) = T(x,y). (x * (y * K(z,K(u,w)))) \ (x * (y * (v5 * K(z,K(u,w))))) != v6 | L(L(v5,K(z,K(u,w)),y),y * K(z,K(u,w)),x) = v6. T(x,K(y,z) * u) = T(x,u * K(y,z)). x != y * z | x = T(z,y) * y. T(x * y,K(z,K(u,w))) = T(y,x) * x. 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. x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). T(K(x,y),K(z,u)) = K(x,y). T(x,T(y,T(z,u))) = T(x,T(y,z)). K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). T(x,T(y,z \ u)) = T(x,T(y,u / z)). T(x,T(y,z / u)) = T(x,T(y,u \ z)). T(K(x,y) / T(z,u),z) = T(z,u) \ K(x,y). T(x,T(y,z * u)) = T(x,T(y,u * z)). K(x,T(T(y,K(z,u)),w)) = K(x,T(y,w)). K(x,y \ K(z,u)) = K(x,K(z,u) / y). K(x,K(y,z) / u) = K(x,u \ K(y,z)). K(x,y) * K(z,u) = K(z,u) * K(x,y). K(x,T(y,K(z,u))) != w | K(x,y) = w. T(x,y / T(z,u)) = T(x,T(T(z,u) \ y,z)). T(x,T(T(y,z) \ u,y)) = T(x,u / T(y,z)). K((x * K(y,z)) \ u,w) = K(((x \ u) * x) / (K(y,z) * x),w). K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). K(x,y * K(z,u)) = K(x,K(z,u) * y). K(x,K(y,z) * u) = K(x,u * K(y,z)). K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = 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(y,K(x,u * z)) = w. K(x,K(y,z)) * (u * z) != w | u * T(z,K(x,y)) = w. x != K(y,K(z / u,w * u)) | x = K(y,K(z / u,w * z)). K(x,K(y,z / u)) = K(x,K(z / u,(u \ y) * z)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). K(x,T(y,z) * z) != u | K(x,z * y) = u. K(x,T(T(y,z) * z,u)) = K(x,T(z * y,u)). x != K(y,(z * u) \ K(z,1 / z)) | x = K(y,T(1 / (u * z),u)). K(x,K(y,1 / y) / (y * z)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). (x * (K(y,z) * K(u,w))) * a(x,K(u,w),K(y,z)) = (x * K(u,w)) * K(y,z). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). K(x,K(y,z) * (u \ y)) = K(x,u \ T(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,y * T(z,y)) != u | K(x,z * y) = u. K(x,L(y,K(z,u) * x,w)) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. (T(x,y) \ z) \ K(u,x \ z) = T(x \ z,u) \ K(x,y). T(x,T((y / ((z \ 1) \ 1)) \ u,T(z,z \ 1) \ y)) = T(x,u / T(T(z,z \ 1) \ y,z)). K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. T(x,y * (z * K(u,z \ 1))) != w | T(x,K(u,z \ 1) * (y * z)) = w. K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. 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)) = K(x,K(y,u \ z)). K(x,K(y,z \ u)) = K(x,K(y,u * z)). K(x,K(y,z / u)) = K(x,K(y,u * z)). T(x,K(y,z \ u)) = x * K(x,K(y,u * z)). x * K(x,K(y,z * u)) = T(x,K(y,u \ z)). K(x,K(y,z * u)) != w | K(x,K(y,u / z)) = w. K(x,(y / z) * u) * K(x,K(u,z * y)) != w | K(x,u * (y / z)) = w. K(x,(y / z) \ u) * K(x,K(u,y * z)) = K(x,u * ((y / z) \ 1)). T(x,K(y,z * u)) = T(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,z * u)). x * y != T(z,K(u,w \ v5)) | x \ T(z,K(u,v5 * w)) = y. x \ T(y * T(x,K(z,u \ w)),K(z,w * u)) = T(y,K(z,u \ w) * x). x != T(y,K(z \ 1,u)) | x = T(y,K(z,u)). T(x,K(y \ 1,z \ u)) = T(x,K(y,z * u)). T(T(x,K(y,z * u)),(z \ u) * y) = T(x,y * (z \ u)). x \ T(y * T(x,K(z,u * w)),K(1 / z,u \ w)) = T(y,K(1 / z,u \ w) * x). K(x,T(y,z)) = K(x,(z * u) \ T(y * (u * z),u)). K(x,(y * z) \ T(u * (z * y),z)) = K(x,T(u,y)). x != y * T(K(z,u),w) | x = y * K(z,T(u,w)). K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). K(x,((y \ z) * y) \ T(u * z,y)) = K(x,T(u,y \ z)). K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. K(x,y * T(z,u)) = K(x,K(z,u) \ (y * z)). K(x,K(y,z) \ (u * y)) = K(x,u * T(y,z)). K(x,K(y,z) \ (u * y)) != w | K(x,u * T(y,z)) = w. K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. K(x,K(y,z)) * K(x,T(y \ 1,u) \ z) = K(x,z / T(y \ 1,u)). x \ (y * x) = T(y,K(K(z,u),w) * x). T(x,K(K(y,z),u) * w) = w \ (x * w). T(x,K(K(y,z),u) * w) = T(x,w). T(x,K(y,K(z,u)) * w) = T(x,w). x != T(y,K(z,u) * (w * u)) | x = T(y,w * T(u,z)). T(x,y * z) = T(x,y * T(z,K(u,w))). T(x,y * T(z,K(u,w))) = T(x,y * z). x \ T(x,y) = K(x,K(z,K(u,w)) * y). K(x,K(y,K(z,u)) * w) = x \ T(x,w). K(K(x,K(y,z)) * u,w) = w / T(w,u). T(x,K(y,T(z,u))) = T(x,K(y,z)). T(x,K(y,z / u)) = T(x,K(y,u \ z)). T(x,K(T(y,z),u)) = T(x,K(y,u)). T(T(x,K(y,z)),z / T(y,u)) != w | T(x,T(y,u) \ z) = w. T(x,y * (z * K(y,u))) = T(x,T(y,u) * z). K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. K(x * K(y,K(z,u)),w) = w / T(w,x). K(K(x,K(y,z)) * u,w) = K(u,w). K(x * K(y,K(z,u)),w) = K(x,w). K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). T(x * K(y,K(z,u)),w) = K(x,w) * (x * K(y,K(z,u))). K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),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). x != T(y,K(z,u \ w)) | x = T(y,K(z,u * w)). T(x,K(y,z / u)) = T(x,K(y,u * z)). K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. x != K(((y \ z) * y) / (u * y),w) | x = K((y * u) \ z,T(w,u)). K(((x \ y) * x) / T(z * x,K(u,w)),v5) = K((x * z) \ y,T(v5,z)). K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). T(x,T(y,z / u)) = T(T(x,y),K(y,u * z)). T(T(x,y),K(y,z * u)) = T(x,T(y,u / z)). 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) = 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(z,K(u,w)) \ y). K(x,K(y,K(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,K(y,T(z,u)) * w) != v5 | K(x,K(y,z) * w) = v5. K(x,(K(y,z) * u) * w) != v5 | K(x,(u * K(y,z)) * w) = v5. K(x,y * T(z,K(u,w))) = K(x,y * z). 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 \ T(z,u \ w)) = K(x,y \ T(z,w / u)). K(x,y \ T(z,u / w)) = K(x,y \ T(z,w \ u)). K(x,L(y \ 1,y,z) \ u) = K(x,((z * y) \ z) \ u). K(x,y * T(z,u \ w)) = K(x,y * T(z,w / u)). K(x,y * T(z,u / w)) = K(x,y * T(z,w \ u)). K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. T(x,(1 / y) * (z * K(y \ 1,u))) = T(x,T(1 / y,u) * z). T(x,T(y,z / u)) != w | T(x,T(y,u * z)) = w. x != K(y,(z * u) / T(w,u)) | x = K(y,T(w \ (u * z),z)). K(x,(y * T(z,u)) / T(w,z)) = K(x,T(w \ (T(z,u) * y),y)). K(x,T(y \ (T(z,u) * w),w)) = K(x,(w * T(z,u)) / T(y,z)). K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. K(x,(T(y,z) * z) \ u) != w | K(x,(z * y) \ u) = w. 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. T(x,T((y / z) * u,T(z,(z \ y) * u) * y)) = T(x,u * (y / z)). T(x,T(y,z \ u)) != w | T(x,T(y,z * u)) = w. K(x,y / (T(z,u) \ u)) = K(x,(T(z,u) \ u) \ T(y,z \ u)). K(x,(T(y,z) \ z) \ T(u,y \ z)) = K(x,u / (T(y,z) \ z)). K(x / y,z \ T(u,y \ x)) != w | K(x / y,z \ u) = w. K(x,(y / z) \ T(u,z \ y)) != w | K(x,u / (y / 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) != v5 | K(x,K(y,u \ z) * w) = v5. T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). x != K(y,K(z,1 / z) / u) | x = K(y,1 / u). K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). K(x,y / (y * (y * z))) = K(x,1 / (z * y)). T(x,y * (T(z \ u,z) \ K(z,z \ 1))) = T(x,y / (u / ((z \ 1) \ 1))). T(T(x,K(y,z * T(u,w))),(z \ ((u \ w) \ w)) * y) = T(x,y * (z \ ((u \ w) \ w))). K(x,T(y,z \ u)) = K(x,T(u,z) \ T(y * u,z)). K(x,T(y,z) \ T(u * y,z)) = K(x,T(u,z \ y)). K(x,T(y,z) \ T(u * y,z)) = K(x,T(u,z * y)). K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). K(x,T(y,z) \ T(u,z)) = K(x,T(u / y,z * y)). K(x,T(y / z,u * z)) = K(x,T(z,u) \ T(y,u)). x != K(y,z \ T(u * w,w)) | x = K(y,z \ (w * u)). K(x,T((y * z) / u,z * u)) = K(x,T(u,z) \ (z * y)). T(x,y) * K(z,K(u,w)) = T(x * K(z,K(u,w)),y). T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). L(K(x,T((y * z) / u,(1 / z) * u)),u,1 / z) = K(x,(u * (1 / z)) \ T((z * y) * (1 / z),z)). x != K(y,K(z,u \ w)) | x = K(y,K(z,w / u)). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. 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 * (T(z,K(u,w)) / v5)) != v6 | K(x,y * (z / v5)) = v6. K(x,y * (z \ T(u,K(w,v5)))) != v6 | K(x,y * (z \ u)) = v6. K(x,y * (z \ u)) = K(x,y * (T(z,K(w,v5)) \ u)). K(x,y * (T(z,K(u,w)) \ v5)) = K(x,y * (z \ v5)). K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * ((w * K(z,u)) \ v5)). K(x,y * (T(z,T(u,w)) \ v5)) = K(x,y * (T(z,u) \ v5)). x != K(y,z * (T(u,w) \ w)) | x = K(y,z * (w / u)). K(x,y * (T(z,u) \ T(u,w))) = K(x,y * (T(u,w) / z)). T(x,y * (T(z,u) \ T(u,w))) = x * K(x,y * (T(u,w) / z)). K(x,y * (T(z,u \ 1) \ T((w * u) \ w,v5))) = K(x,y * (T((w * u) \ w,v5) / z)). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). K(x / y,z \ y) = K(x / y,z \ T(y,x)). K(x / y,z \ T(y,x)) = K(x / y,z \ y). x != K(y / z,u \ z) | x = K(z / u,z \ y). K(x / y,z \ T(y,x)) = K(y / z,y \ x). K(x \ T(y,z),z / y) = K(y / x,y \ z). K(x \ T(y,z),T(y,z) \ z) = K(y / x,y \ z). K(x \ T(y,x * z),(x \ T(y,x * z)) \ z) = K(y / x,y \ (x * z)). K(x,K(y,z / u) * w) = K(x,K(y,z \ u) * w). K(x,K(y,z / u) * w) = x / T(x,K(y,u \ z) * w). x / T(x,K(y,z \ u) * w) = K(x,K(y,u / z) * w). K(x,K(y,L(z,u,w))) = K(x,K(y,(w * (z * u)) / (w * u))). K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). x != K(y,1 / L(K(z,u),w,v5)) | x = K(y,L(K(z,u),w,v5)). K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). x != T(y,(1 / z) * u) | x = T(y,z \ u). T(x,T(1 / y,z) * u) = T(x,y \ (u * K(y \ 1,z))). T(x,y \ (z * K(y \ 1,u))) = T(x,T(1 / y,u) * z). T(x,(y \ z) * K(y \ 1,u)) = T(x,T(1 / y,u) * z). K(x,T(y * (T(z,u) * w),w)) = K(x,(w * T(z,u)) / T(y \ 1,z)). x != K(y,(T(z,u) \ u) \ w) | x = K(y,(u / z) \ w). K(x,y / (T(z,u) \ u)) = K(x,(u / z) \ T(y,z \ u)). K(x,(y / z) \ T(u,z \ y)) = K(x,u / (T(z,y) \ y)). 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(T(z,u),w) \ u)) = K(x,y / (u / T(z,w))). K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). K(x,y / (z \ (z \ u))) = K(x,y / ((u / z) / z)). K(x,y / ((z / u) / u)) = K(x,y / (u \ (u \ z))). T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). T(x,y * (T(z,u) \ T(u,w))) = T(x,y * (T(u,w) / z)). T(x,y * (T(z,u) \ T(u,w))) != v5 | T(x,y * (T(u,w) / z)) = v5. T(x,y * (T(z,u) \ T(u,u \ w))) = T(x,y * (((u \ w) \ w) / z)). x != L(K(y,T(T(z,u),w * u)),u,w) | x = (w * (K(y,z) * u)) / (w * u). K(x,(y * z) \ ((y * u) * z)) = (z * (K(x,u) * y)) / (z * y). x != (y * (K(z,u) * w)) / (y * w) | x = K(z,(y * w) / (y * (u \ w))). K(x,(y * z) \ ((y * u) * z)) = K(x,(z * y) / (z * (u \ y))). K(x,(y * z) / (y * (u \ z))) = K(x,(z * y) \ ((z * u) * y)). K(x,(y * z) / (y * u)) = K(x,(z * y) \ ((z * (z / u)) * y)). K(x,(y * z) \ ((y * (y / u)) * z)) = K(x,(z * y) / (z * u)). x != K(y,(z * u) \ ((z * (z / w)) * u)) | x = L(K(y,T(w \ z,z * u)),z,u). K(x,(y * z) / (y * u)) = L(K(x,T(u \ z,z * y)),z,y). L(K(x,T(y \ z,z * u)),z,u) = K(x,(u * z) / (u * y)). x != K(y,K(y / z,u)) | x = K(y,K(z,u)). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). x != K(y,K(z,L(u,w,v5)) * (v5 * w)) | x = K(y,v5 * (w * K(z,u))). K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). x != K(y,z * (u * K(u \ 1,w))) | x = K(y,z * (((w * (u \ 1)) / w) \ 1)). K(x,y * (z * K(z,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). 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). x != K(y,z * T(u,w)) | x = K(y,K(u,z)) * K(y,T(u,w) * z). K(x,y / T(z \ 1,u)) = K(x,K(z,y)) * K(x,T(z,u) * y). K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z / T(y \ 1,u)). K(x,y * T(z,x * y)) = K(x,z * y). T(x,y * T(z,x * y)) = K(x,z * y) * x. T(x,y * T(z,x * y)) = T(x,z * y). x != T(y,K(z,u) * w) | x = w \ T(y * T(w,K(z,u)),K(u,z)). T(x,y * K(z,u)) = T(y,x * K(z,u)) \ T(x * T(T(y,x * K(z,u)),K(z,u)),K(u,z)). 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)). K(x,K(y,z)) * K(y,T(z,u) * x) = K(y,x * (u * (z / u))). K(x,y * (z * (u / z))) = K(y,K(x,u)) * K(x,T(u,z) * y). x != K(y,K(z,u)) * K(z,T(u,w) * y) | x = K(z,y * T(u,w)). K(x,y * (z * (u / z))) = K(x,y * T(u,z)). x != K(y,z * T(u,w)) | x = K(y,K(u,w) \ (z * u)). K(x,y * (z * (u / z))) = K(x,K(u,z) \ (y * u)). K(x,K(y,z) \ (u * y)) = K(x,u * (z * (y / z))). K(x,y * (z * (u / z))) != w | K(x,y * T(u,z)) = w. x != K(y,z * (u \ 1)) | x = K(y,z / 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,z / T(y \ 1,w)) | u = K(x,T(y,w) * z). K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). K(x,T(1 / y,z) \ u) = K(x,T(y,z) * u). K((x * L(K(y,z),u,w)) \ v5,v6) = K(((x \ v5) * x) / T(L(K(y,z),u,w) * x,K(v7,v8)),v6). K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K((x * L(K(z,u),w,v5)) \ y,v8). 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) | x = K(y,T(u,z)). K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). K(x,T(y,z * K(u,w))) = K(x,T(y,z)). x != K(y,T(z,u * w)) | x = K(y,T(z,w / u)). K(x,T(y,z)) = K(x,T(y,z / K(u,w))). K(x,T(y,z / K(u,w))) = K(x,T(y,z)). K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). (K(x,y) * z) * K(u,T(w,z)) = K(u,w) * (K(x,y) * z). K(x,T(y,z)) = K(x,T(y,K(u,w) / z)). K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). K(x,T(y,z / (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)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). 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. T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). K(x,T(y,T(z,u) * w)) = K(x,T(y,w * z)). L(K(x,T(y \ z,y * u)),y,T(T(u,y),w)) = K(x,(T(T(u,y),w) * z) / (T(T(u,y),w) * y)). T(x,T(y,z / K(u,w))) = T(x,T(y,z)). T(x,T(y,z * T(u,w))) = T(x,T(y,z * u)). x != T(y,T(z,u * w)) | x = T(y,T(z,w * u)). T(x,T(y,z * u)) = T(x,T(y,T(u,w) * z)). T(x,T(y,T(z,u) * w)) = T(x,T(y,w * z)). x != T(y,T((z / u) * w,T(u,(u \ z) * w) * z)) | x = T(y,w * (z / u)). T(x,T((y / z) * u,y * z)) = T(x,u * (y / z)). K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). T(x,T(((y \ 1) / z) * u,y \ z)) = T(x,u * ((y \ 1) / z)). K(x,y) * z != K(x,T(y,u)) * (u * K(w,v5)) | T(u * K(w,v5),K(x,y)) = z. T(x * K(y,z),K(u,w)) = K(u,K(w,x)) * (x * K(y,z)). K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). x != K(y,z) * (K(u,w) / w) | x = K(y,z) / T(w,u). (K(x,y) / y) * K(z,u) = K(z,T(u,y)) / T(y,x). K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). x != K(y,T(z,u)) / T(u,w) | x = ((1 / u) * K(y,z)) * K(w,u). (K(x,y) / y) * K(z,u) = ((1 / y) * K(z,u)) * K(x,y). ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). T(x,K(y,z)) * K(u,w) = T(x * K(u,w),K(y,z)). T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). x * y != T(y,K(z,u)) | x = K(z,K(u,y)). 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,K(z,u) / w)) = K(x,K(y,w)). K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). K(x,K(y,z / u)) = K(x,K(y,z / T(u,w))). K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). K(x,K(y,z / u)) = 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 / (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 * K(w,v5)) * u)). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). T(x,K(y,K(z,u) * w)) = x * 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(u,w) * v5))) = K(x,K(y,z * v5)). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K(y,z)) = K(x,K(y * K(u,w),z)). K(x,K(y * K(z,u),w)) = K(x,K(y,w)). K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). x != K(y,K(z,u)) | x = K(y,K(z * K(w,v5),u)). K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). K(x,K(y,z / u)) = K(x,K(y,z / (w / (w / u)))). K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). T(x,K(y,z * T(u,w))) = T(x,K(y,z * u)). x != K(y,K(T(z,u) / w,L(v5,w,u))) | x = K(y,K(v5,(z * u) / (u * w))). K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). T(T(x,K(y,z * u)),(z \ T(u,w)) * y) = T(x,y * (z \ T(u,w))). K(x,y) * T(z,K(u,w)) = T(K(x,y) * z,K(u,w)). T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). x != K(y,K(z / u,L(w,z,v5))) | x = K(y,K(w,L(z / u,u,v5))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K(y,(z / u) * w)) = K(x,K(y,((v5 / (v5 / z)) / u) * w)). K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). x != K(y,K(z,(1 / u) * w)) | x = K(y,K(z,w / u)). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). K(x,K(y,z / ((K(u,w) * v5) * 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)). x != K(y,K(z,(u * (w * v5)) / (u * v5))) | x = K(y,K(z,L(w,v5,u))). K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,a(z,u,u \ w))) = K(x,K(y,((u \ w) * (z * u)) / T(z * w,a(z,u,u \ w)))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). x != K(y,K(z,L(u,w \ v5,w))) | x = K(y,K(z,L(u,v5,w))). K(x,K(y,(z * u) / (u * (u \ w)))) = K(x,K(z / (u \ w),L(y,w,u))). K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). K(x,K(T(R(y,z,u),z),L(w,z * u,v5))) = K(x,K(w,(((z * y) * u) * v5) / (v5 * (z * u)))). K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,(v5 * (w / 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,z * (w * u))) = v5. K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u * (((y \ 1) \ 1) / z)). x != K(y,z) * ((1 / u) * K(w,v5)) | x = K(y,z) / (K(v5,w) * u). ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). x != ((1 / y) * K(z,u)) * K(w,y) | x = (K(w,y) / y) * K(z,u). K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,((u \ (u * ((1 / u) * z))) * w) * v5)). K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). x != K(y,K(z,u / w)) | x = K(y,K(z,w / u)). 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,((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) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. x != K(y,z / T(u \ 1,w)) | x = K(y,z * T(u,w)). K(x,T(y * (T(z,u) * w),w)) = K(x,(w * T(z,u)) * T(y,z)). K(x,T(y * (T(z,y) * u),u)) = K(x,(u * z) * y). T(x,y * (T(z,z \ u) / w)) = T(x,y * (((z \ u) \ u) / w)). T(x,K(y,z \ 1) * (u * z)) = T(x,u / T(z \ 1,y)). T(x,K(y,z) * (u * z)) = T(x,u / T(z \ 1,y)). T(x,y / T(z \ 1,u)) = T(x,K(u,z) * (y * z)). T(x,y / T(z \ 1,u)) = T(x,y * T(z,u)). T(x,y / T(1 / z,u)) = T(x,y * T(z,u)). T(x,y / T(z,u)) = T(x,y * T(z \ 1,u)). T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. x \ T(y * T(x,K(z,u * w)),K(z,u * w)) = T(y,K(z,w \ u) * x). T(x,y * ((z / u) \ K(u,u \ 1))) = T(x,y / (z / ((u \ 1) \ 1))). x != T(y,z * (u \ K(w,w \ v5))) | x = T(y,z * (u \ K(w,v5))). T(x,y / (z / ((u \ 1) \ 1))) = T(x,y * ((z / u) \ K(u,1))). T(x,y / (z / ((u \ 1) \ 1))) = T(x,y * ((z / u) \ 1)). T(x,y / (z / ((u \ 1) \ 1))) != w | T(x,y / (z / u)) = w. L(K(x \ T(y,x * z),(x \ T(y,x * z)) \ z),z,u) = K(y / x,y \ (x * 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). x != K(y,K(z,L(K(u,w) / v5,v6,v7))) | x = K(y,K(z,L(v5,v6,v7))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). x != K(y,K(z,L(u,u,w))) | x = K(y,K(u,z)). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). K(x,T(y,z / u)) = K(x,T(y,(u * K(w,v5)) / z)). K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). x != K(y,T(L(z,u,T(y,w)),v5)) | x = K(y,T(z,v5)). K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). K(x,T(y,z / (u / (w \ v5)))) = K(x,T(y,z / (u / (v5 / w)))). K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). K(1 / x,T(y,z / (u / w))) / x = T(1 / x,T(y,z / (u / T(w,v5)))). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. 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). x / T(x,K(y,z * u) * w) = K(x,K(y,z / u) * w). K(x,K(y,z * u) * w) = K(x,K(y,z / u) * w). K(x,K(y,z / u) * w) = K(x,K(y,z * u) * w). K(x,K(y,z \ u) * w) = K(x,K(y,u * z) * w). x != K(y,K(z,u / w) * v5) | x = K(y,K(z,u \ w) * 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). K(x,y * T(z,u \ w)) = K(x,K(z,u * w) * (y * z)). K(x,K(y,z * u) * (w * y)) = K(x,w * T(y,z \ u)). x != K(y,K(z,u) * (w \ z)) | x = K(y,w \ T(z,u)). K(x,K(y,z * u) * (w \ y)) = K(x,w \ T(y,z \ u)). x * (K(y,K(z,u * w) * v5) * (x \ y)) = T(y,T(K(z,u \ w) * v5,x)). 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)). K(x,y * T(z,u \ w)) != v5 | K(x,y * T(z,u * w)) = v5. 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 \ T(z,u \ w)) = K(x,y \ T(z,u * w)). T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(x,T(K(y,z * u) * w,v5)) = T(x,T(K(y,z \ u) * w,v5)). T(x,T(K(y,z \ u) * w,v5)) = T(x,T(K(y,z * u) * w,v5)). x != T(y,T(K(z,u \ 1) * (u \ w),v5)) | x = T(y,T(T(1 / u,z) * w,v5)). T(x,T(K(y,z * 1) * (z \ u),w)) = T(x,T(T(1 / z,y) * u,w)). T(x,T(K(y,z) * (z \ u),w)) = T(x,T(T(1 / z,y) * u,w)). T(x,T(T(1 / y,z) * u,w)) = T(x,T(K(z,y) * (y \ u),w)). T(x,T(T(1 / y,z) * u,w)) = T(x,T(T(y,z) \ u,w)). x != T(y,T(T(1 / (z \ u),u) * w,v5)) | x = T(y,T(((u * (z / u)) \ u) \ w,v5)). T(x,T(T(y \ z,z) \ u,w)) = T(x,T(((z * (y / z)) \ z) \ u,w)). T(x,T(((y * (z / y)) \ y) \ u,w)) = T(x,T(T(z \ y,y) \ u,w)). T(x,T(((y * (z / y)) \ y) \ u,w)) != v5 | T(x,T((y / z) \ u,w)) = v5. 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)). x != T(K(y,T(z,u)) * w,v5) * K(z,y) | x = K(y,z) \ T((K(y,K(z,u)) * w) * K(y,z),v5). T(K(x,y) * z,u) * K(y,T(x,w)) = K(x,y) \ T((K(x,K(y,w)) * z) * K(x,y),u). 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)). (x * K(y,z)) * K(u,w) != v5 * a(x,K(y,z),K(u,w)) | x * (K(u,w) * K(y,z)) = v5. x * a(y,K(z,u),K(w,v5)) != (y * K(z,u)) * K(w,v5) | y * (K(w,v5) * K(z,u)) = x. K(L(x,K(y,z),u),w) * ((K(y,z) * x) * u) = (K(y,z) * T(x,w)) * u. K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. x != K(y,K(z,K(u,w) / v5)) | x = K(y,K(v5,z)). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). x != K(y,K((1 / (z \ u)) / w,L(w / z,z,z \ u))) | x = K(y,K(u,(1 / (z \ u)) / w)). K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). x != K(y,K(z / u,(u \ w) * z)) | x = K(y,K(w,z / u)). K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). x != K(y,K(z,(1 / u) / w)) | x = K(y,K(z,w * u)). K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). x != K(y,K(z,u / (w / (w / v5)))) | x = K(y,K(z,u / v5)). K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). L(K(x \ T(y,x * z),(x \ T(y,x * z)) \ z),z,u) = K(x \ y,(x * z) / y). L(K(x \ T(y,x * z),T(y,x * z) \ (x * z)),z,u) = K(x \ y,(x * z) / y). L(K(x \ T(y,x * z),(x * z) / y),z,u) = K(x \ y,(x * z) / y). L(K((x * y) / z,x \ T(z,x * y)),y,u) = K(x \ z,(x * y) / z). L(K((x * y) / z,x \ z),y,u) = K(x \ z,(x * y) / z). L(K(x \ y,(x * z) / y),z,u) = K(x \ y,(x * z) / y). L(K(x \ y,y \ (z * x)),z,u) = K(x \ y,(x * z) / y). x != K(y \ z,(y * u) / z) | x = K(y \ z,z \ (u * y)). L(K(x \ y,y \ (z * x)),z,u) = K(x \ y,y \ (z * x)). K(x \ y,(x * z) / y) != u | u = K(x \ y,y \ (z * x)). K(x \ y,(x * z) / y) != u | K(x \ y,y \ (z * x)) = u. K(x / y,(x / y) \ z) != u | K(y \ x,x \ (z * y)) = u. K(x \ y,((y / x) \ (y \ z)) * y) != u | K(x \ y,y \ (z * x)) = u. K(x \ y,y \ (z * x)) = K(x \ y,(y \ z) * x). x * K(y \ z,(z \ x) * y) = (z / y) * (x / (z / y)). L(K(x \ y,(y \ z) * x),z,u) = K(x \ y,y \ (z * x)). x != K(y \ z,z \ (u * y)) | x = K(y \ z,(z \ u) * y). L(K(x \ y,(y \ z) * x),z,u) = K(x \ y,(y \ z) * x). x != L(K(y \ z,(z \ u) * y),u,z) | x = K(y \ z,((y \ 1) \ u) / z). K(x \ y,(y \ z) * x) = K(x \ y,((x \ 1) \ z) / y). K(x \ y,((x \ 1) \ z) / y) = K(x \ y,(y \ z) * x). x != K(y \ z,((y \ 1) \ u) / z) | x = K(z / y,(z * (y \ 1)) \ u). K(x \ y,(y \ z) * x) = K(y / x,(y * (x \ 1)) \ z). K(x / y,(x * (y \ 1)) \ z) = K(y \ x,(x \ z) * y). x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). x \ T(y * T(x,K(z,u * w)),K(z \ 1,u \ w)) = T(y,K(1 / z,u \ w) * x). T(T(x,K(y,z * u)),(z \ ((u \ w) \ w)) * y) = T(x,y * (z \ ((u \ w) \ w))). T(T(x,K(y,z * u)),(z \ T(u,w)) * y) = T(x,y * (z \ ((u \ w) \ w))). x != T(T(y,K(z,u * w)),(u \ T(w,v5)) * z) | x = T(y,z * (u \ T(w,v5))). T(x,y * (z \ ((u \ w) \ w))) = T(x,y * (z \ T(u,w))). x != T(y,z * (T(u,T(w,v5)) \ ((w \ v5) \ v5))) | x = T(y,z * (T(w,w \ v5) / u)). T(x,y * (T(z,T(u,w)) \ T(u,w))) = T(x,y * (T(u,u \ w) / z)). x != T(y,z * (T(u,w) \ w)) | x = T(y,z * (w / u)). T(x,y * (T(z,z \ u) / w)) = T(x,y * (T(z,u) / w)). x != T(y,z * (T(u,u \ w) / v5)) | x = T(y,z * (((u \ w) \ w) / v5)). T(x,y * (T(z,u) / w)) = T(x,y * (((z \ u) \ u) / w)). T(x,y * (((z \ u) \ u) / w)) = T(x,y * (T(z,u) / w)). x != T(y,z * (((u \ 1) \ 1) / w)) | x = T(y,T((((u \ 1) \ 1) / w) * z,u * w)). T(x,y * (T(z,1) / u)) = T(x,T((((z \ 1) \ 1) / u) * y,z * u)). T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u * (T(y,1) / z)). T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u * (y / z)). K(x,y * (T(z,u \ 1) \ ((w * u) \ w))) = K(x,y * (T((w * u) \ w,K(v5,v6)) / 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)). x \ (x * K((y * (z / y)) \ x,u)) = K(((y \ x) * y) / z,T(u,x / y)). K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). K(1 / x,T(y,z / u)) = K((u * ((x * ((u \ z) * u)) / u)) \ z,y). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). x \ T(y * T(x,K(z,u * w)),K(z,u * w)) = T(y,K(1 / z,u \ w) * x). T(x,K(y,z * u) * w) = T(x,K(1 / y,z \ u) * w). T(x,K(1 / y,z \ u) * w) = T(x,K(y,z * u) * w). T(x,K(y \ 1,z \ u) * w) = T(x,K(y,z * u) * w). T(x,y * K(z \ 1,u \ w)) = T(x,K(z,u * w) * y). x != T(y,(z \ u) * K(z \ 1,w)) | x = T(y,T(1 / z,w) * u). T(x,K(y,z * u) * (y \ w)) = T(x,T(1 / y,z \ u) * w). T(x,T(1 / y,z \ u) * w) = T(x,K(y,z * u) * (y \ w)). x != T(y,K(z,u) * (z \ w)) | x = T(y,T(z,u) \ w). T(x,T(1 / y,z \ u) * w) = T(x,T(y,z * u) \ w). 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). x != T(K(y,z) * u,w) * K(z,T(y,v5)) | x = K(z,T(y,v5)) * T(u * K(y,z),w). K(x,y) * T(z * K(y,T(x,u)),w) = K(x,T(y,u)) * T(z * K(y,x),w). K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). T(x,T((y / ((z \ 1) \ 1)) \ u,z \ y)) = T(x,u / T(T(z,z \ 1) \ y,z)). T(x,T((y / ((z \ 1) \ 1)) \ u,z * y)) = T(x,u / T(T(z,z \ 1) \ y,z)). T(x,T((y / ((z \ 1) \ 1)) \ u,z * y)) = T(x,u / (y / ((z \ 1) \ 1))). T(x,T((y / ((z \ 1) \ 1)) \ u,z * y)) != w | T(x,u / (y / z)) = w. 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)). x != K(y,K(z,a(u,w,v5))) | x = a(z,w,K(y,K(v5,u))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). K(x,K(R(y,z,u),L(w,z * u,v5))) = K(x,K(w,(((z * y) * u) * v5) / (v5 * (z * u)))). K(x,K(y,(((z * u) * w) * v5) / (v5 * (z * w)))) = K(x,K(R(u,z,w),L(y,z * w,v5))). K(x,K(y,(((z * u) * w) * v5) / (v5 * (z * w)))) = K(x,K(L(u,z,w),L(y,z * w,v5))). x != K(y,K(L(z,u,w),v5)) | x = K(y,K(z,L(v5,u,w))). K(x,K(y,(((z * u) * w) * v5) / (v5 * (z * w)))) = K(x,K(u,L(L(y,z * w,v5),z,w))). x != K(y,K(z,L(u,K(w,v5),v6))) | x = K(y,K(z,u)). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). 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)). 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))). T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). x != T(y,z) \ (T(y,u) * w) | x = K(y,u) * (K(z,y) * w). T(x,y * K(z,u)) = K(y,K(z,u)) * (K(x * K(z,u),y) * T(x,K(z,u))). K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). x != K(y,T(z,u)) * T(w * K(z,y),v5) | x = K(y,z) * T(w * K(z,T(y,u)),v5). T(x,y * K(z,u)) = K(u,z) * T(x * K(z,T(u,y)),y). K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). K(x,y) * T(z,u * K(x,y)) = T(z * K(x,T(y,u)),u). T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). R(x,K(y,z),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). x != (y * (z * K(u,w))) / T(y * K(u,T(w,z)),z) | x = L(z,K(u,T(w,z)),y). R(x,K(y,z),u) = L(x,K(y,T(z,x)),u). L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). x != K(y,K(z,u / T(w,v5))) | x = K(y,K(z,u / w)). a(x,y,K(z,K(u,w / y))) = K(z,K(x,((y \ w) * (u * y)) / (u * w))). K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). x != K(y,K(z,((u * w) * v5) / (v5 * w))) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(z,L(K(u,w) * y,v5,v6))). K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). x != K(y,K(z,L(K(u,w) * v5,v6,v7))) | x = K(y,K(v5,L(z,v6,v7))). K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). x != K(y,K(z,L(u,w,v5))) | x = a(u,w,K(v5,K(y,z))) * K(u,K(y,z)). L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). x != a(y,z * ((1 / u) / w),K(v5,K(v6,w * u))) | x = a(y,z,K((1 / u) / w,K(v5,v6))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). K(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)). L(K(x,T((y * z) / u,z \ u)),u,1 / z) = K(x,(u * (1 / z)) \ T((z * y) * (1 / z),z)). L(K(x,T((y * z) / u,z * u)),u,1 / z) = K(x,(u * (1 / z)) \ T((z * y) * (1 / z),z)). L(K(x,T(y,z) \ (z * u)),y,1 / z) = K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)). L(K(x,T(y,z) \ (z * u)),y,z \ 1) = K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)). L(K(x,T(y,z) \ (z * u)),y,z) = K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)). K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). K(1 / x,T(y,z / (u \ w))) = K(1 / x,T(y,z / (1 / (w \ u)))). K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). x != K(y,T(z,u / (w \ v5))) | x = K(y,T(z,u / (v5 / w))). K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). x != K(y,T(z,u / (w / (v5 \ v6)))) | x = K(y,T(z,u / (w / (v6 / v5)))). K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,z / (1 / (w / u)))). K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). K(1 / x,T(y,(z / u) * w)) = K(1 / x,T(y,w / (u / z))). K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. x != K(1 / y,z) / y | x = T(1 / y,z). T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). x != T(T(1 / (1 / L(y,z,u)),w),1 / y) | x = T(L(y,z,u),w). T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). (T(L(x,y,z),T(u,(w / v5) * v6)) \ 1) * L((x \ 1) \ 1,y,z) = K(T(u,v6 / (v5 / T(w,v7))),L(x,y,z)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). x != (T(L(y,z,u),w) \ 1) * L((y \ 1) \ 1,z,u) | x = K(w,L(y,z,u)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). x != K(y,T(z,u / (w / T(v5,v6)))) | x = K(y,T(z,u / (w / v5))). K(x,T(L(y,z,u),(w / v5) * v6)) = K(x,T(L(y,z,u),v6 / (v5 / w))). K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). x != K(y,T(L(z,u,T(y,w)),v5 / (v6 / T(v7,v8)))) | x = K(y,T(z,v5 / (v6 / v7))). K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). K(x,T(y,z / (u / w))) = K(x,T(y,(T(w,v5) / u) * z)). K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). K(x,T(y,(z / u) * w)) = K(x,T(y,w / (u / z))). K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). x != K(y,T(z,u / (w / v5))) | x = K(y,T(z,u / (v5 \ w))). K(x,T(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). K(x,T(y,z / (u \ w))) = K(x,y) * K(x,K(y,(u / w) * z)). K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). K(x,y) * z != K(x,T(y,u / (w \ v5))) | z = K(x,K(y,u / (v5 / w))). K(x,K(y,(z / u) * w)) = K(x,K(y,w / (u / z))). K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). x != K(y,K(z,u / ((w * v5) / w))) | x = K(y,K(z,u / v5)). K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). K(x,K(y,z * (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,L(w,v5,v6))) = K(x,K(u / (y \ z),L(w,v5,v6))). K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). x != K(y,K(z / (u \ w),L(v5,w,u))) | x = K(y,K(v5,(z * u) / (u * (u \ w)))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). K(x,K(y / z,L(u,w,v5))) = K(x,K(((v6 / z) / v6) * y,L(u,w,v5))). K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). x != K(y,K(z,(u * w) / v5)) | x = K(y,K(z,(w * u) / v5)). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). x != K(y,K(z * ((u / w) / u),L(v5,v6,v7))) | x = K(y,K(z / w,L(v5,v6,v7))). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K((z / v5) / w,L(y,v5,z))). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). x != K(y,K((z / u) / w,L(v5,u,z))) | x = K(y,K(v5,(z * (1 / w)) / u)). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). K(x,K((y / z) / (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)). x != K(y,K((z / u) * w,L(v5,u,z))) | x = K(y,K(v5,(z * w) / u)). K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). x != K(y,K(z,(u / w) / v5)) | x = K(y,K(z,(w / u) * v5)). K(x,K(y,(z * 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 * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). x != K(y,K(z,u * ((w / v5) / v6))) | x = K(y,K(z,((v5 \ w) / v6) * u)). K(x,K(y,(z * u) / w)) = K(x,K(y,((u \ 1) / z) * w)). K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). x != K(y,K(z,u * ((w / (w / v5)) / v6))) | x = K(y,K(z,(v5 / v6) * u)). K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). x != K(y,K(z,(u * (1 / w)) / v5)) | x = K(y,K(z,(u * ((v6 / w) / v6)) / v5)). K(x,K(y,(z / u) * w)) = K(x,K(y,(u * ((v5 / z) / v5)) / w)). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). x != K(y,K(z,(u * w) / (u * (w * v5)))) | x = K(y,K(z,L(v5,w,u))). K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). x != K(y,K(z,u / ((1 / w) * v5))) | x = K(y,K((u / v5) * w,L(z,u / v5,v5))). K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,w / u,u))). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). K(x,K(y,z / (((u / (u / w)) / u) * v5))) = K(x,K(y,((u / (u / ((w / u) \ 1))) / v5) * z)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). x != K(y,K(z,L(u,w / v5,v5))) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,w,u))). K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). K(x,K(y,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,u / (((w / v5) / w) * v6))) | x = K(y,K(z,(v5 / v6) * u)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). x != K(y,K(z,((u / (u / (w \ 1))) / v5) * v6)) | x = K(y,K(z,(v5 * w) / v6)). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,(w * (u / z)) / v5)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((u / z) * w) / v5)). K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). x != K(y,K(z,(u * (w / v5)) / v6)) | x = K(y,K(z,v6 / ((v5 \ w) * u))). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,v5 / ((z \ u) * w))). K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,((w / v5) / T(u,w \ v5)) * z)). K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). x != K(y,K(z,((u \ w) * (v5 * u)) / (v5 * w))) | x = a(z,u,K(y,K(v5,w / u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). x != a(y,z,K(u,K(w,v5))) | x = a(y,v5 * z,K(u,K(w,v5))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,z / (v5 * (u \ w)))). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). x != K(y,K(z,1 / u)) | x = K(y,K(z,u)). K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). x != K(y,K(z,u * (w / (w * v5)))) | x = K(y,K(z,u / v5)). K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / 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)) | x = K(y,K(z,w * v5)). K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). x != K(y,K(z,(u * w) * L(R(v5 / v6,u,w),v6,1 / v6))) | x = K(y,K(z,(((1 / v6) * v5) * u) * w)). K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,((z / u) * 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 * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,((v5 / w) * u) * T(z,v6))). K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). K(x,K(y,z * ((u / w) * v5))) = K(x,K(y,z * (v5 * ((1 / w) * u)))). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). K(x,K(y,z * (u * w))) = K(x,K(y,z * (((w / (1 / v5)) / v5) * u))). K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). x != K(y,K(z,(u / w) * (w * ((1 / u) * v5)))) | x = K(y,K(z,L(v5,1 / u,w))). K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). x != K(y,K(z,u * (w * (1 / v5)))) | x = K(y,K(z,(w / v5) * u)). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(y,((z / u) / w) * (u / (1 / w)))). K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). x != K(y,K(z,u * (T(w,v5) * v6))) | x = K(y,K(z,(w * v6) * u)). K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). x != K(y,K(z,u * (1 / w))) | x = K(y,K(z,u / w)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). x != K(y,K(z,((u / w) * v5) / v6)) | x = K(y,K(z,((w / u) / 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))). K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). x != K(y,K(z,u * (w / (1 / v5)))) | x = K(y,K(z,(v5 * w) * u)). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(y,(w * u) * ((z / u) / w))). K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,1 / u,1 / w))). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). x != K(y,K(z,L(u,w,1 / v5))) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,1 / u,w))). K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). x != K(y,K(z,L(u,1 / w,v5))) | x = K(y,K(z,L(u,K(v6,v7) / w,v5))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,K(v5,v6) / u,w))). K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). K(x,K(y,L(z,u,w))) * K(K(y,z),x) = a(w,K(v5,u) / (K(z,y) * u),K(K(y,z),x)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). x != K(y,K(z,a(u,w,v5))) | x = a(y,w,K(z,K(u,v5))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). 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)) | x = K(K(z,u) * K(w,z),y). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). x != K(a(y,z * u,K(u,w)),v5) | x = a(u,z,K(v5,K(w,y))). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). x != a(y,1 / z,K(u,K(w,v5))) | x = K(y,K(u,((z / v5) / w) * ((w * (1 / z)) * v5))). a(x,y,K(z,K(u,w))) = K(w,K(z,((y / x) / u) * ((u * (1 / y)) * x))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). x != a(y,1 / z,K(u,K(w,v5))) | x = a(v5,w / z,K(u,K(w,y))). a(x,y,K(z,K(u,w))) = a(x,u / y,K(z,K(u,w))). a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). x != a(y,z,K(u,K(w,v5))) | x = a(w,z,K(u,K(y,v5))). a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). x != K(y,K(z,u * (((1 / w) * v5) * v6))) | x = K(y,K(z,u * ((v5 / w) * v6))). a(x,y,K(z,K(u,1 / (K(w,1 / y) / w)))) = K(z,K(u,(((y / x) / w) * K(w,1 / y)) * ((w / y) * x))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). x != K(y,K(z,((u / w) * v5) * ((w / v5) / u))) | x = a(y,w,K(z,K(u / w,v5 / w))). a(x,y,K(z,K(u,w))) = a(z,y,K(u,K(w / y,x / y))). a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). 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))). x != a(y,z \ u,K(w,K(v5,v6))) | x = a(y,u / z,K(w,K(v5,v6))). a(x,y,K(z,K(u,w / y))) = a(w,y / z,K(x,K(y,u))). a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). x != a(y,z / u,K(w,K(z,v5))) | x = a(z,u,K(w,K(y,v5))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). x != K(y,K(z,((u / w) / (v5 * u)) * (v5 * w))) | x = a(z,w,K(y,K(v5,w / u))). a(x,y,K(z,K(u,w))) = a(y,w,K(z,K(u,w / x))). a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). x != a(y,z,K(u,K(w,v5 / z))) | x = a(z,u,K(v5,K(y,w))). a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). K(x,K(y,L(z,u,w))) = L(K(x,K(z,y)),w,u). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). x != K(y,K((z / u) * w,L(v5,z,u))) | x = K(y,K(v5,(w / u) * z)). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). K(x,K(y,z \ ((z / (u * w)) * (u * (w * v5))))) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). K(x,K(y,1 / L(z,u,w))) = K(x,K(y,L(L(1 / z,z,u),w,u * z))). K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). x != K(y,K((z / u) * w,L(v5,u,z))) | x = K(y,K(v5,(w * 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,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). x != K(y,K(z,(u * w) / v5)) | x = K(y,K(z,(u / v5) * w)). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). x != K(y,K(z,((u / w) / u) * v5)) | x = K(y,K(z,v5 / w)). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). x != K(y,K(z,T(u,w))) | x = K(y,K(z,u)). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(L(z,u,w),v5,w * u))). K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(1 / z,z,u))). K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). K(x,K(y,1 / z)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). K(x,K(y,L(z,u,w))) = K(x,K(y,z)). L(K(x,K(y,z)),u,w) = K(x,K(y,z)). K(x,y) * K(x,K(y,z)) = T(K(x,y),L(z,u,w)). T(K(x,y),L(z,u,w)) = K(x,y) * K(x,K(y,z)). (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). L(K(x,K(y,z)),u,w) * v5 != K(x,K(y,z)) | 1 = v5. 1 = a(x,y,K(z,K(u,w))). a(x,y,K(z,K(u,w))) = 1. x != L(K(y,K(z,u \ w)),u,u \ z) | x = K(y,K(z,w * (u \ z))). K(x,K(y,z \ u)) = K(x,K(y,u * (z \ y))). K(x,K(y,z * (u \ y))) = K(x,K(y,u \ z)). K(x,K(y,z)) * u != L(K(x,K(y,z)),w,v5) | 1 = u. 1 = a(K(x,y),z,K(u,w)). a(K(x,y),z,K(u,w)) = 1. K(x,K(y,z)) * (u * w) = (K(x,K(y,z)) * u) * w. (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). x != a(y,z,K(u,K(w,v5))) | x = K(u,K(y,a(v5,z,w))). 1 = K(x,K(y,a(z,u,w))). K(x,K(y,a(z,u,w))) = 1. L(K(x,y),z,K(u,w)) = K(x,y). T(x,K(y,a(z,u,w))) = x. K(x,T(y,a(z,u,w))) = K(x,y). T(x,K(a(y,z,u),w)) = x. T(x,T(y,a(z,u,w))) = T(x,y). T(x,a(y,z,K(u,w))) = x. x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,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)). a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. L(K(x,y),z,K(u,w)) = K(y,x). K(L(x,y,K(z,u)),w) = K(x,w). K(x,L(y,z,K(u,w))) = K(x,y). K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). (K(x,y) * z) * L(K(u,w),v5,v6) = K(x,y) * (z * L(K(u,w),v5,v6)). L(K(x,y),z,u) * (w * K(v5,v6)) = (L(K(x,y),z,u) * w) * K(v5,v6). (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). a(x,y,z) * K(u,w) = K(u,w) * a(x,y,z). K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). T(x,y) * a(z,u,w) = x * (a(z,u,w) * K(x,y)). x * (a(y,z,u) * K(x,w)) = T(x,w) * a(y,z,u). L(K(x,y),z,K(u,w)) != v5 | K(x,y) = v5. L(x,y,K(z,u)) != w | L(x,y,K(u,z)) = w. K(x,T(K(y,z) * u,w)) = K(x,T(K(z,y) * u,w)). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). K(x,L(y,z,L(K(u,w),v5,v6))) = K(x,y). K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). L(K(x,y),z,L(K(u,w),v5,v6)) != v7 | K(x,y) = v7. K(x,y \ (L(K(z,u),w,v5) * v6)) = K(x,(L(K(z,u),w,v5) \ y) \ v6). K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). T(x,L(y,z,L(K(u,w),v5,v6))) = x * K(x,y). K(x,K(y,(z \ y) * u)) = K(x,K(y,z \ u)). x != y * a(z,u,K(w,v5)) | x = y * a(w,u,K(v5,z)). a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). x * (a(y,z,K(u,w)) * v5) = x * (v5 * a(y,z,K(u,w))). a(x,y,K(z,u)) * w = w * a(z,y,K(x,u)). K(x,a(y,z,u)) * w = w * a(x,z,K(y,u)). L(K(x,(y / z) / a(u,w,K(v5,v6))),a(u,w,K(v5,v6)),z) = K(x,y / (z * a(u,w,K(v5,v6)))). T(x,L(y,z,L(K(u,w),v5,v6))) = T(x,y). T(x,L(y,z,K(u,w))) = T(x,y). T(x,L(y,z,K(u,w)) \ T(v5,y)) = T(x,v5 / L(y,z,K(u,w))). K(x,K(y,(y / z) * u)) = K(x,K(y,z \ u)). (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. x != y * a(z,u,K(w,v5)) | x = y / a(z,u,K(v5,w)). a(x,y,K(z,u)) * w = w / a(z,y,K(x,u)). x / a(y,z,K(u,w)) = a(u,z,K(y,w)) * x. x != a(y,z,K(u,w)) * y | x = T(T(y,u),L(u,z,w)). x * a(y,z,K(u,x)) = T(T(x,y),L(y,z,u)). T(T(x,y),L(y,z,u)) = x * a(y,z,K(u,x)). x * (y * a(x,z,K(u,w))) = T(x,a(w,z,u)) * y. K(x,T(a(y,z,u),w)) = a(x,z,K(y,u)). K(x,a(y,z,u)) = a(T(x,w),z,K(y,u)). a(T(x,y),z,K(u,w)) = K(x,a(u,z,w)). a(x,y,K(z,u)) * (w * x) = w * T(x,a(z,y,u)). x != K(y,a(z,u,w)) | x = a(w,u,K(z,y)). a(T(x,y),z,K(u,w)) = a(w,z,K(u,x)). a(x,y,K(z,T(u,w))) = a(z,y,K(x,u)). x != a(T(y \ z,z),u,w) | x = a(z / y,u,w). 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)). K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,T(u,w)). L(K(x,y),z,T(u,w)) = K(x,y) * a(y,z,K(x,u)). a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). a(x,y,K(z,u * w)) = a(z,y,K(x,w * u)). ((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,K(y,z \ u)) * K(x,L(z \ u,z,z \ y)) = K(x,((y / z) * u) / y). a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). K(x,y) * a(x,z,K(y,u \ w)) = L(K(x,y),z,w / u). a(x * y,z,K(u,w)) = a(u,z,K(w,y * x)). a(x,y,K(z,u \ 1)) = a(x,y,K(z,w \ (u \ w))). a(x,y,K(z,u \ (w \ u))) = a(x,y,K(z,w \ 1)). T(K(x,y),L(z,u,w)) = T(K(x,y),z). K(x,T(y,L(z,u,w))) = T(K(x,y),z). K(x,T(y,L(z,u,w))) = K(x,T(y,z)). K(x,L(y,z,u) * (z * u)) = K(x,T(u * (T(z,u) * y),y)). K(x,T(y * (T(z,y) * u),u)) = K(x,L(u,z,y) * (z * y)). L(K(x,K(y,z)) \ ((u * w) \ v5),K(x,K(y,z)),u * w) = (u * (w * K(x,K(y,z)))) \ v5. x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). a(x,y,z * K(u,K(w,v5))) = (x * (K(u,K(w,v5)) * (y * z))) \ ((x * y) * (z * K(u,K(w,v5)))). (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) = a(x,w,v5 * K(y,K(z,u))). K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). L(x,y,K(z,K(u,w))) = x. (x * K(y,K(z,u))) * w = K(y,K(z,u)) * (x * w). x \ (K(y,K(z,u)) * w) = (K(y,K(z,u)) * x) \ w. (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) * w). x != K((K(y,z) * u) \ w,v5) | x = K((u * K(y,z)) \ w,v5). K(x \ (K(y,z) * u),w) = K((x * K(z,y)) \ u,w). K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). K(x,T(K(y,z) * u,w * v5)) != v6 | K(x,T(K(z,y) * u,v5 * w)) = v6. K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (w * K(z,y))) = v5. (x * y) * a(x,z,K(u,w)) = T(x,a(w,z,u)) * y. a(x,y,K(z,u)) * (w * u) = w * T(u,a(x,y,z)). L(K(x,y),z,T(u,w)) = L(K(x,y),z,u). L(K(x,y),z,T(u,w)) != v5 | L(K(x,y),z,u) = v5. x != L(K(y,T(z / u,w)),u,u \ w) | x = K(y,w \ (z * (u \ w))). L(K(x,T(y / z,u)),z,T(z \ u,w)) = K(x,u \ (y * (z \ u))). x != L(K(y,T(z \ u,z * w)),z,T(T(w,z),v5)) | x = K(y,(T(T(w,z),v5) * u) / (T(T(w,z),v5) * z)). L(K(x,T(y \ z,y * u)),y,T(u,y)) = K(x,(T(T(u,y),w) * z) / (T(T(u,y),w) * y)). x != L(K(y,z),(u * (w / u)) * v5,T(w,u)) | x = L(K(y,z),v5,T(w,u)). L(K(x,y),(z * (u / z)) * w,u) = L(K(x,y),w,T(u,z)). L(K(x,y),z,u / w) != v5 | L(K(x,y),z,w \ u) = v5. x != a(y,z,K(u,w \ 1)) | x = a(y,z,K(u,w)). a(x,y,K(z,u \ (w \ u))) = a(x,y,K(z,w)). a(x,y,K(z,u \ K(w,v5))) = a(x,y,K(z,u * K(w,v5))). x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). x != K(y,K(z,u)) * (w * v5) | x = w * (K(y,K(z,u)) * v5). (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). x != y \ (K(z,K(u,w)) * v5) | x = (y \ v5) * K(z,K(u,w)). (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). x != K((y * K(z,u)) \ (y * w),v5) | x = K((w * y) / (K(z,u) * y),v5). K(x \ (K(y,z) * (x * u)),w) = K((u * x) / (K(z,y) * x),w). K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). K((x * K(y,z)) \ (L(K(u,z),w,v5) * v6),v7) = K(x \ ((K(z,y) * L(K(z,u) \ 1,w,v5)) * v6),v7). K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (L(K(u,y),w,v5) * v6),v7). x != T(y,a(z,u,w)) * v5 | x = y * (v5 * a(y,u,K(w,z))). (x * y) * a(x,z,K(u,w)) = x * (y * a(x,z,K(u,w))). x != y * a(z,u,K(w,v5)) | x = a(w,u,K(z,v5)) * 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. L(x,K(y,K(z,u)),w) = x. (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). K(x,(T(y,z) * (T(y,T(z,u)) \ w)) \ v5) = K(x,w \ v5). a(x,y,K(z,u \ y)) * w != v5 | w * a(x,u,K(z,u \ y)) = v5. a(x,y,K(z,u)) * w != v5 | w * a(z,y,K(x,u)) = v5. x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. T(x,a(y,z,u)) != w | x * a(y,z,K(x,u)) = w. x != L(K(y,z),(u * (w / u)) * v5,w) | x = L(K(y,z),K(u,u \ w) * v5,w). L(K(x,y),z,T(u,w)) = L(K(x,y),K(w,w \ u) * z,u). L(K(x,y),K(z,z \ u) * w,u) = L(K(x,y),w,T(u,z)). x \ ((x * y) * K(z,u)) = (y * K(z,u)) * a(x,y,K(z,u)). K(x,(K(y,z) * (K(y,T(z,u)) * w)) \ v5) = K(x,w \ v5). L(K(x,y),K(z,z \ u) * w,u) != v5 | L(K(x,y),w,u) = v5. K(x,(K(y,z) * T(u \ y,K(y,T(z,w)))) \ v5) = K(x,(u \ T(y,T(z,w))) \ v5). x != K(y,T(z * (T(u,z) * w),w)) | x = K(y,(w * u) * z). K(x,L(y,z,u) * (z * u)) = K(x,(y * z) * u). K(x,((y * z) \ u) * (z * y)) = K(x,((z \ (y \ u)) * z) * y). K(x,((y \ (z \ u)) * y) * z) = K(x,((z * y) \ u) * (y * z)). x \ (y * x) = T(y,K(z,a(u,w,v5)) * x). T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). T(x,K(y,a(z,u,w)) * v5) = T(x,v5). T(x,a(y,z,K(u,w)) * v5) = T(x,v5). T(x,y * a(z,u,K(w,v5))) = T(x,y). x * y != T(z,a(u,w,K(v5,v6)) * v7) | T(z,v7) / y = x. T(x,y) / x = K(a(z,u,K(w,v5)) * y,x). K(a(x,y,K(z,u)) * w,v5) = T(v5,w) / v5. T(x,K(y,z)) = T(x,L(K(y,z),u,w)). T(x,L(K(y,z),u,w)) = T(x,K(y,z)). T(x,K(y,z) * u) = T(x,L(K(y,z),w,v5) * u). T(x,L(K(y,z),u,w) * v5) = T(x,K(y,z) * v5). K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). T(x,K(y,z)) * L(K(y,z),u,w) = L(K(y,z),u,w) * x. (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). K(a(x,y,K(z,u)) * w,v5) = K(v5,w). K(x,a(y,z,K(u,w)) * v5) = K(x,v5). K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). K(x,y * a(z,u,K(w,v5))) = K(x,y). 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 * L(K(z,u),w,v5)) = K(x,y * K(z,u)). T(x,K(y,z)) / ((z * a(u,w,K(v5,v6))) * T((z * a(u,w,K(v5,v6))) \ x,y)) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). K(x * a(y,z,K(u,w)),v5) = K(x,v5). x != K(y,z * K(u,w)) | x = K(y,K(u,w) * z). K(x,y * L(K(z,u),w,v5)) = K(x,K(z,u) * y). T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). x != K(y,z) | x = y / T(y,z). K(x,y * L(K(z,u),w,v5)) = x / T(x,K(z,u) * y). 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 * (T(z,y) * K(u,w))) = K(x,K(u,w) * (z * y)). K(x * K(L(y,z,u),w),v5) = v5 / T(v5,K(y,w) * x). K(x,(y * z) * a(u,w,K(v5,v6))) = K(x,y * (z * K(u,u * a(v5,w,v6)))). K(x,y * (z * K(u,u * a(w,v5,v6)))) = K(x,(y * z) * a(u,v5,K(w,v6))). K(x,y * (z * K(u,w))) != v5 | K(x,K(u,w) * (y * z)) = v5. x != K(y,z * (u * K(w,v5))) | x = K(y,z * (K(w,v5) * u)). K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). K(x,K(y,z) * (u * (w / y))) = K(x,u * (w / T(y,z))). K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z) \ w)). K(x,y * L(K(z,u),w,v5)) = x / T(x,L(K(z,u),v6,v7) * y). K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). K(x * L(K(y,z),u,w),v5) = K(K(y,z) * x,v5). L(K(x,L(K(y,z),u,w) \ (T(v5,K(y,z)) \ v6)),L(K(y,z),u,w),T(v5,K(y,z))) = K(x,(L(K(y,z),u,w) * v5) \ v6). K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z \ 1) \ w)). (x * y) \ (x * ((y * z) * K(u,K(w,v5)))) = L(z,y,x) * K(u,K(w,v5)). x != K(y,((z * u) \ w) * (u * z)) | x = K(y,T(K(u,z) * w,u * z)). K(x,((y \ (z \ u)) * y) * z) = K(x,T(K(y,z) * u,y * z)). K(x,T(K(y,z) * u,y * z)) = K(x,((y \ (z \ u)) * y) * z). x != y / T(y,z) | x = K(y,z). K(x,y * L(K(z,u),w,v5)) = K(x,L(K(z,u),v6,v7) * y). K(x,L(K(y,z),u,w) * v5) = K(x,v5 * L(K(y,z),v6,v7)). x != K(y,L(z,u,w) * (u * w)) | x = K(y,(z * u) * w). K(x,(y * z) * L(K(u,w),v5,v6)) = K(x,(K(u,w) * 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,u * (w * K(y,z))). K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). K(x,(y / T(z,u)) * w) = K(x,(y / z) * (w * K(z,u))). 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). x != K(y,z * (T(u,z) * K(w,v5))) | x = K(y,K(w,v5) * (u * z)). K(x,(y / T(z,u)) * T(w,y / z)) = K(x,K(z,u) * (w * (y / z))). x != K(y,K(z,u \ w) * v5) | x = K(y,K(z,w * u) * v5). K(x,(y / T(z,u \ w)) * v5) = K(x,K(z,w * u) * ((y / z) * v5)). K(x,K(y,z * u) * ((w / y) * v5)) = K(x,(w / T(y,u \ z)) * v5). x != K(y,K(z,u) * (w * (z \ v5))) | x = K(y,w * (T(z,u) \ v5)). K(x,y * (T(z,u \ 1) \ w)) = K(x,y * (T(z,u) \ w)). x != K(y,z * (T(u,w \ 1) \ ((v5 * w) \ v5))) | x = K(y,z * (T((v5 * w) \ v5,K(v6,v7)) / u)). K(x,y * (T(z,u) \ ((w * u) \ w))) = K(x,y * (T((w * u) \ w,K(v5,v6)) / z)). x != K(y,((z \ u) * z) * w) | x = K(y,T(u,z) * w). K(x,T(K(y,z) * u,y * z)) = K(x,T(z \ u,y) * z). x != K(y,T(z \ u,w) * z) | x = K(y,z * T(u / z,w)). K(x,T(K(y,z) * u,y * z)) = K(x,z * T(u / z,y)). L(K(x,T(y / z,u)),z,T(z \ L(u,w,v5),v6)) = K(x,L(u,w,v5) \ (y * (z \ L(u,w,v5)))). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). x != K(y,K(z,u) * (w * (v5 / z))) | x = K(y,w * (v5 / T(z,u))). K(x,(y / T(z,u)) * T(w,y / z)) = K(x,w * (y / T(z,u))). x != K(y,z * T(u,w / v5)) | x = K(y,z * T(u,v5 \ w)). K(x,y * (z / T(u,w))) = K(x,(z / T(u,w)) * T(y,u \ z)). K(x,(y / T(z,u)) * T(w,z \ y)) = K(x,w * (y / T(z,u))). K(x,(y / T(z,u)) * T(w,z * y)) = K(x,w * (y / T(z,u))). x != K(y,(z / T(u,z)) * w) | x = K(y,(u \ z) * w). K(x,K(y,z * u) * (((u \ z) / y) * w)) = K(x,(y \ (u \ z)) * w). K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). K(x,((K(y,z) \ u) * L((K(y,z) \ u) \ u,w,v5)) \ v6) = K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)). x != K(y,K(z,u) * ((w / z) * v5)) | x = K(y,(w / T(z,u)) * v5). K(x,(y \ (z \ u)) * w) = K(x,((z \ u) / T(y,u * z)) * w). K(x,((y \ z) / T(u,z * y)) * w) = K(x,(u \ (y \ z)) * w). x != K(y,(z \ u) * T(w,z * u)) | x = K(y,w * (z \ u)). K(x,((y \ z) / T(u,z * y)) * T(w,u * (y \ z))) = K(x,w * (u \ (y \ z))). K(x,((((y \ z) / T(u,z * y)) * w) \ w) \ w) = K(x,(u \ (y \ z)) * ((((y \ z) / T(u,z * y)) * w) * (w / (((y \ z) / T(u,z * y)) * w)))). K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,((((z \ u) / T(y,u * z)) * w) \ w) \ w). (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). K(x,T(K(y,z) * u,y * z)) = K(x,y * T(u / y,z)). K(x,T(y * z,y * u)) = K(x,y * T((T(y,u) * z) / y,u)). K(x,y * T((T(y,z) * u) / y,z)) = K(x,T(y * u,y * z)). K(x,y * T(T(K(y,z) * u,y),z)) = K(x,T(y * u,y * z)). K(x,T(K(y,z) * u,z) * y) = K(x,T(y * u,y * z)). K(x,K(y,z) * (T(u,z) * y)) = K(x,T(y * u,y * z)). K(x,T(y,z) * T(u,z)) = K(x,T(u * y,u * z)). K(x,T(y * z,y * u)) = K(x,T(z,u) * T(y,u)). x != K(y,T(z,u * (u * w))) | x = K(y,T(z,w)). K(x,T(y,z * u) * T(z,z * u)) = K(x,T(z * y,u)). K(x,T(y,z * u) * T(z,u)) = K(x,T(z * y,u)). x != K(y,T(T(z,u) * u,w)) | x = K(y,T(u * z,w)). K(x,T(y,T(z,y) * u) * T(T(z,y),u)) = K(x,T(y * z,u)). K(x,T(y,z * u) * T(T(z,y),u)) = K(x,T(y * z,u)). K(x,K(y,z * u) * (T(z,u) * y)) = K(x,T(y * z,u)). K(x,T(y,z) * T(u,y * z)) = K(x,T(u * y,z)). (x * y) \ (x * (y * (z * K(u,K(w,v5))))) = L(z,y,x) * K(u,K(w,v5)). L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). x != y * K(z,K(u,w)) | x = K(z,K(u,w)) * y. L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). L(K(x,T(y,z)),u,w) = K(x,K(z,y)) * L(K(x,y),u,w). K(x,K(y,z)) * L(K(x,z),u,w) = L(K(x,T(z,y)),u,w). x != K(y,z * a(u,w,K(v5,v6))) | x = K(y,z). K(x,y * (z * K(u,u * a(w,v5,v6)))) = K(x,y * z). K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). K(x,y * T(a(z,u,w),v5)) = K(x,y * a(z,u,w)). x != K(y,T(z,u) * T(w,z * u)) | x = K(y,T(w * z,u)). K(x,T(y,z) * a(u,w,v5)) = K(x,T(a(u,w,v5) * y,z)). K(x,T(a(y,z,u) * w,v5)) = K(x,T(w,v5) * a(y,z,u)). K(x,T(a(y,z,K(u,w)) * v5,v6)) = K(x,T(v5,v6)). K(x,K(y,z \ u)) * L(K(x,z \ u),z,z \ y) = K(x,((y / z) * u) / y). x != K(y,K(z,u)) * L(K(y,u),w,v5) | x = L(K(y,T(u,z)),w,v5). K(x,((y / z) * u) / y) = L(K(x,T(z \ u,y)),z,z \ y). L(K(x,T(y \ z,u)),y,y \ u) = K(x,((u / y) * z) / u). L(K(x,T(T(y,z) \ z,u)),y,y \ u) = K(x,((u / y) * T(z,y)) / u). L(K(x,T(y / z,u)),z,z \ u) = K(x,((u / z) * T(y,z)) / u). K(x,((y / z) * T(u,z)) / y) = K(x,y \ (u * (z \ y))). K(x,(y * T(z,u)) / (y * u)) = K(x,(y * u) \ (z * (u \ (y * u)))). K(x,(y * z) \ (u * (z \ (y * z)))) = K(x,(y * T(u,z)) / (y * z)). K(x,(K(y,z) * T(u \ y,K(y,z))) \ w) = K(x,(u \ T(y,T(z,v5))) \ w). K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(K(z,u) * T(y \ z,K(z,u))) \ v5). K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) * K(z,u)) \ v5). K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). x != K(y,(z \ T(u,T(w \ u,v5))) \ v6) | x = K(y,(z \ T(u,v5 \ (w \ v5))) \ v6). K(x,(y \ T(z,u \ z)) \ w) = K(x,(y \ T(z,v5 \ (u \ v5))) \ w). K(x,(y \ T(z,u \ (w \ u))) \ v5) = K(x,(y \ T(z,w \ z)) \ v5). K(x,y * (T(z,u) \ ((w * u) \ w))) != v5 | K(x,y * (((w * u) \ w) / z)) = v5. x != K(y,(z / T(u,w)) * T(v5,u * z)) | x = K(y,v5 * (z / T(u,w))). K(x,y * (z \ (u \ w))) = K(x,y * ((u \ w) / T(z,w * u))). K(x,y * ((z \ u) / T(w,u * z))) = K(x,y * (w \ (z \ u))). K(x \ (L(K(y,z),u,w) * v5),v6) = K((x * L(K(z,y),u,w)) \ v5,v6). K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). x != K((y * L(K(z,u),w,v5)) \ v6,v7) | x = K(((y \ v6) * y) / T(L(K(z,u),w,v5) * y,K(v8,v9)),v7). K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / T(L(K(z,y),u,w) * x,K(v7,v8)),v6). K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). x != ((K(y,z) * u) * w) * a(y,u,K(z,w)) | x = K(y,z) * (u * w). (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). L(x,y,K(z,u)) = R(x,y,K(z,u)). R(x,y,K(z,u)) = L(x,y,K(z,u)). x != R(y / z,z,u) | x = (y * u) / (z * u). L(x / y,y,K(z,u)) = (x * K(z,u)) / (y * K(z,u)). L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). 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). x != (K(y,z) * u) * K(w,T(v5,u)) | x = K(w,v5) * (K(y,z) * u). K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). K(x,y) * ((K(z,u) * w) * v5) = K(z,L(u,w,v5)) * (K(x,y) * (w * v5)). K(x,L(y,z,u)) * (K(w,v5) * (z * u)) = K(w,v5) * ((K(x,y) * z) * u). x * y != (z * u) * w | (a(z,u,w) * (z * (u * w))) / y = x. (a(x,y,K(z,T(u,y))) * (x * (y * K(z,T(u,y))))) / (K(z,u) * y) = L(x,y,K(z,u)). K(x,L(y,T(z,u),w)) * (z * w) = K(u,z) * ((K(x,y) * T(z,u)) * w). (a(x,y,K(z,u)) * (z * (y * K(x,T(u,y))))) / (K(x,u) * y) = L(z,y,K(x,u)). (a(x,y,K(z,u)) * (z * (K(x,u) * y))) / (K(x,u) * y) = L(z,y,K(x,u)). (T(x,a(y,z,u)) * (K(u,y) * z)) / (K(u,y) * z) = L(x,z,K(u,y)). L(x,y,K(z,u)) = T(x,a(u,y,z)). L(x,y,K(z,u)) = T(x,a(z,y,u)). x != T(y,a(z,u,w)) | x = y * a(y,u,K(w,z)). L(x,y,K(z,u)) = x * a(x,y,K(z,u)). x * a(x,y,K(z,u)) = L(x,y,K(z,u)). x != T(y,a(z,u,w)) | x = y * a(z,u,K(y,w)). 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 != T(a(y,z,z \ 1),u) | x = a(y,z,z \ 1). L(a(x,y,y \ 1),z,K(u,w)) = a(x,y,y \ 1). a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(z,x)). a(x,y,K(z,u)) * (z * w) = L(z,y,K(x,u)) * w. L(x,y,K(z,u)) = x * a(z,y,K(x,u)). x * a(y,z,K(x,u)) = L(x,z,K(y,u)). a(x,y,K(z,u)) * (x \ w) = L(x,y,K(z,u)) \ w. K(x,(y * a(z,u,w)) \ L(v5 * (a(z,u,w) * y),u,K(z,w))) = K(x,T(v5,y)). a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). L(x,y,K(z,u)) != w | x * a(z,y,K(x,u)) = w. x * a(y,z,K(u,x)) = L(x,z,K(y,u)). x * a(y,z,K(u,x)) = L(x,z,K(u,y)). K(x,y * L(z,u,K(w,v5))) = K(x,y * z). x != y * a(z,u,K(w,v5)) | x = a(v5,u,K(z,w)) * y. L(x,y,K(z,u)) = a(z,y,K(u,x)) * x. a(x,y,K(z,u)) * u = L(u,y,K(x,z)). x != y * a(z,u,K(w,y)) | x = T(T(y,z),L(z,u,w)). L(x,y,K(z,u)) = T(T(x,z),L(z,y,u)). T(T(x,y),L(y,z,u)) = L(x,z,K(y,u)). R(x,a(y,z,K(u,w)),w) * L(w,z,K(y,u)) = (x * a(y,z,K(u,w))) * T(w,a(y,z,K(u,w))). (x * a(y,z,K(u,w))) * T(w,a(y,z,K(u,w))) = R(x,a(y,z,K(u,w)),w) * L(w,z,K(y,u)). x \ L(y,z,K(x,u)) = T(x \ y,a(x,z,u)). a(x,y,K(z,u)) * (u \ z) = L(u \ z,y,K(x,z)). T(x,L(y,z,u)) = L(T(x,y),z,K(y,u)). L(T(x,y),z,K(y,u)) = T(x,L(y,z,u)). T(x,y) / L(y,z,K(x,u)) = x / T(y,T(L(x,z,u),x)). K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * (w \ (K(z,u) * v5))). K(x,y * T(z,L(u,w,v5))) = K(x,y * T(z,u)). x != T(y,a(z,u,w)) | x = L(y,u,K(z,w)). x \ L(y,z,K(x,u)) = L(x \ y,z,K(x,u)). L(x \ y,z,K(x,u)) = x \ L(y,z,K(x,u)). T(x,y / (T(L(z,u,K(w,v5)),w) / w)) = T(x,y / L(w \ z,u,K(w,v5))). x != L(a(y,z,z \ 1),y,u) | x = (u * y) \ (u * R(y,z,z \ 1)). a(x,y,y \ 1) = (K(z,u) * x) \ (K(z,u) * R(x,y,y \ 1)). (K(x,y) * z) \ (K(x,y) * R(z,u,u \ 1)) = a(z,u,u \ 1). K(x,y * T(z,u \ (w * v5))) = K(x,y * T(z,(w \ u) \ v5)). K(x,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w \ (u * v5))). x * y != a(z,u,K(w,v5)) * (v6 * v5) | x \ (v6 * L(v5,u,K(w,z))) = y. (x * y) \ (x * L(y,z,K(u,w))) = a(u,z,K(w,y)). T(x,y * L(z,u,K(w,v5))) = T(x,y * z). x * y != a(z,u,K(w,v5)) * (w * v6) | (L(w,u,K(z,v5)) * v6) / y = x. (L(x,y,K(z,u)) * w) / a(x,y,K(z,u)) = x * w. a(x,y,K(z,u)) * (u \ w) = L(u,y,K(x,z)) \ w. T(x,L(y,z,K(u,w)) \ v5) = T(x,y \ v5). x != T(y,L(z,u,K(w,v5)) \ T(v6,z)) | x = T(y,v6 / L(z,u,K(w,v5))). T(x,y \ T(z,y)) = T(x,z / L(y,u,K(w,v5))). T(x,y / L(z,u,K(w,v5))) = T(x,y / z). a(x,y,K(z,u \ w)) * w = u * L(u \ w,y,K(x,z)). ((x * K(y,z)) * u) \ (K(y,T(z,x)) * (x * u)) = a(y,x,K(z,u)). x != y / a(z,u,K(w,v5)) | x = a(w,u,K(z,v5)) * y. x * y = a(z,u,K(x,w)) * (L(x,u,K(z,w)) * y). a(x,y,K(z,u)) * (L(z,y,K(x,u)) * w) = z * w. x != a(y,z,K(u,w)) * (w \ u) | x = L(w \ u,z,K(y,u)). L(x,y,K(z,u)) \ u = L(x \ u,y,K(z,u)). L(x \ y,z,K(u,y)) = L(x,z,K(u,y)) \ y. T(x,y * (T(z,L(u,w,K(v5,z))) / L(u,w,K(v5,z)))) = T(x,y * L(u \ z,w,K(v5,z))). a(x,y,K(z,u)) * (K(w,L(z,y,K(x,u))) * v5) = z * (T(L(z,y,K(x,u)),w) \ v5). T(x,y) / L(y,z,K(x,u)) = x / T(y,L(x,z,u)). x * a(y,z,K(u,z \ x)) = z * L(z \ x,x,K(y,u)). x * L(x \ y,y,K(z,u)) = y * a(z,x,K(u,x \ y)). x != K(y,z * ((K(u,w) * v5) \ v6)) | x = K(y,z * ((v5 * K(u,w)) \ v6)). 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 * T(u,w \ v5)) | x = K(y,z * T(u,w * v5)). K(x,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w * (u * v5))). K(x,y * T(z,(u \ w) * v5)) = K(x,y * T(z,w * (u * v5))). T(x,y / (L(T(z,u),w,K(u,v5)) / u)) = T(x,y / L(u \ z,w,K(u,v5))). T(x,y / (T(z,L(u,w,v5)) / u)) = T(x,y / L(u \ z,w,K(u,v5))). T(x,y / L(z \ u,w,K(z,v5))) = T(x,y / (T(u,L(z,w,v5)) / z)). x != T(y,z / L(u,w,K(v5,v6))) | x = T(y,z / u). T(x,y / (T(z,L(u,w,v5)) / u)) = T(x,y / (u \ z)). a(x,y,K(z,u)) * (L(K(w,z),y,K(x,u)) * v5) = z * (T(L(z,y,K(x,u)),w) \ v5). a(x,y,K(z,u)) * (K(z,w) * v5) = z * (T(L(z,y,K(x,u)),w) \ v5). a(x,y,K(z,u)) * (K(z,w) * v5) = z * (L(T(z,w),y,K(x,u)) \ v5). (K(x,y) * z) * a(x,u,K(w,v5)) = x * (L(T(x,y),u,K(w,v5)) \ z). 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,T(y \ z,y * u)),y,u) = K(x,(T(T(u,y),w) * z) / (T(T(u,y),w) * y)). K(x,(T(T(y,z),u) * w) / (T(T(y,z),u) * z)) = L(K(x,T(z \ w,z * y)),z,y). x != L(K(y,T(z \ u,z * w)),z,w) | x = K(y,(w * u) / (w * z)). K(x,(T(T(y,z),u) * w) / (T(T(y,z),u) * z)) = K(x,(y * w) / (y * z)). K(x,(T(T(y,z),u) * w) / (z * T(y,u))) = K(x,(y * w) / (y * z)). T(x,y * (T(z,u) / L(u,w,K(v5,z)))) = T(x,y * L(u \ z,w,K(v5,z))). T(x,y * (T(z,u) / L(u,w,K(z,v5)))) = T(x,y * L(u \ z,w,K(v5,z))). T(x,y * (z / T(u,L(z,w,v5)))) = T(x,y * L(u \ z,w,K(v5,z))). T(x,y * L(z \ u,w,K(v5,u))) = T(x,y * (u / T(z,L(u,w,v5)))). x != T(y,z * L(u,w,K(v5,v6))) | x = T(y,z * u). T(x,y * (z / T(u,L(z,w,v5)))) = T(x,y * (u \ z)). x != L(y,K(z,K(u,w)),v5) | x = y. (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). L(L(x,K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = K(y,K(z,u)) * ((v5 * w) \ (v5 * (w * (x * K(y,K(z,u)))))). K(x,K(y,z)) * ((u * w) \ (u * (w * (v5 * K(x,K(y,z)))))) = L(L(v5,K(x,K(y,z)),w),w * K(x,K(y,z)),u). L(K(x,y / z),a(u,w,K(v5,v6)),z) = K(x,y / (z * a(u,w,K(v5,v6)))). (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). x != y * ((y * z) / y) | x = z * y. (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. x != (K(y,z) * u) * w | x = (K(y,z) * (u * w)) * a(y,u,K(w,z)). L(K(x,y),z,u) * w = (K(x,y) * (w * (K(y,x) * L(K(x,y),z,u)))) * a(x,w,K(K(y,x) * L(K(x,y),z,u),y)). (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(y,x) * L(K(x,y),u,w),y)) = L(K(x,y),u,w) * z. (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. L(K(x,y \ z),y,T(y \ L(y,u,w),v5)) = K(x,L(y,u,w) \ (z * (y \ L(y,u,w)))). L(K(x,y \ z),y,y \ L(y,u,w)) = K(x,L(y,u,w) \ (z * (y \ L(y,u,w)))). K(x,L(y,z,z \ 1) \ (u * (y \ L(y,z,z \ 1)))) != w | K(x,y \ u) = w. K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). x != y \ (z * (u * K(w,K(v5,v6)))) | x = (y \ (z * u)) * K(w,K(v5,v6)). a(x,y,z * K(u,K(w,v5))) = ((x * (K(u,K(w,v5)) * (y * z))) \ ((x * y) * z)) * K(u,K(w,v5)). ((x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * v5)) * K(y,K(z,u)) = a(x,w,v5 * K(y,K(z,u))). (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). a(x,y,z * K(u,K(w,v5))) = a(x,y,z). a(x,y,T(z,K(u,w))) = a(x,y,z). x != a(y,K(z,u),T(w,K(z,u))) | x = a(y,K(z,T(u,w)),w). a(x,K(y,z),u) = a(x,K(y,T(z,u)),u). a(x,K(y,T(z,u)),u) = a(x,K(y,z),u). K(x,((K(y,z) * u) * L((K(z,y) \ u) \ u,w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). K(x,((K(y,z) * u) * L(K(z,T(y,u)),w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). K(x,(K(y,z) * (u * L(K(z,T(y,u)),w,v5))) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). K(x,(K(y,z) * (L(K(z,y),u,w) * v5)) \ v6) = K(x,(K(z,y) \ v5) \ (L(K(y,z),u,w) * v6)). K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,(K(y,w) \ v5) \ (L(K(w,y),z,u) * v6)). K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,(a(y,w,K(v5,z)) * u) \ v6). K(x,K(y,z)) * L(u * K(x,K(y,z)),w,v5) = L(L(u,K(x,K(y,z)),w),w * K(x,K(y,z)),v5). L(L(x,K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = K(y,K(z,u)) * L(x * K(y,K(z,u)),w,v5). L(x,y * K(z,K(u,w)),v5) = K(z,K(u,w)) * L(x * K(z,K(u,w)),y,v5). K(x,K(y,z)) * L(u * K(x,K(y,z)),w,v5) = L(u,w * K(x,K(y,z)),v5). K(x,K(y,z)) * u != L(w * K(x,K(y,z)),v5,v6) | u = L(w,v5,v6). L((x * K(y,K(z,u))) * K(y,K(z,u)),w,v5) = L(x,w * K(y,K(z,u)),v5). L(x,y,z) = L(x,y * K(u,K(w,v5)),z). L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). x != L(y,K(z,T(u,y)),w) | x = R(y,K(z,u),w). L(x,K(y,z),u) = R(x,K(y,z),u). R(x,K(y,z),u) = L(x,K(y,z),u). L(x \ L(x,K(y,T(z,u)),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). R(x,a(y,z,K(u,w)),v5) = L(x,K(y,T(a(u,z,w),v6)),v5). L(x,K(y,T(a(z,u,w),v5)),v6) = R(x,a(y,u,K(z,w)),v6). L(x,a(y,z,K(u,w)),v5) = R(x,a(y,z,K(u,w)),v5). R(x,a(y,z,K(u,w)),v5) = L(x,a(y,z,K(u,w)),v5). (x * a(y,z,K(u,w))) * T(w,a(y,z,K(u,w))) = L(x,a(y,z,K(u,w)),w) * L(w,z,K(y,u)). L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). x != L(y \ L(z,u,w),y,w * u) | x = ((w * u) * y) \ (w * (u * z)). a(x,K(y,T(z,u)),u) = ((u * K(y,z)) * x) \ (u * (K(y,z) * x)). ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,T(z,x)),x). x != a(y,K(z,T(u,w)),w) | x = a(y,K(z,u),w). ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),x). (x * a(y,z,K(u,w))) * T(w,a(y,z,K(u,w))) = x * L(w,z,K(y,u)). (x * a(y,z,K(u,w))) * w = x * L(w,z,K(y,u)). ((K(x,y) * z) * a(x,z,K(y,u))) * u = K(x,y) * (z * u). (x * (L(T(x,y),z,K(y,u)) \ z)) * u = K(x,y) * (z * u). (x * (T(x,L(y,z,u)) \ z)) * u = K(x,y) * (z * u). (K(x,L(y,z,u)) * z) * u = K(x,y) * (z * u). (L(K(x,y),z,u) * z) * u = K(x,y) * (z * u). L(L(K(x,y),z,u),z,u) = K(x,y). (L(K(x,y),z * u,u \ 1) * (z * u)) * (u \ 1) = K(x,y) * R(z,u,u \ 1). L(K(x,y \ (z * u)),u,z) = K(x,(z \ y) \ u). L(K(x,(y * z) \ u),z,y) = K(x,z \ (y \ u)). L(K(x,y \ (z * u)),y,z) = K(x,(z \ y) \ u). L(K(x,y / (z * u)),z,u) = K(x,(y / u) / z). L(K(x,(y * z) / u),y,z) = K(x,y / (u / z)). L(K(x,(y * z) / u),u,z) = K(x,y / (u / z)). L(K(x,T(y,z) \ (z * u)),y,z) = K(x,(y / z) \ u). L(K(x,(T(y,z) * u) \ w),u,y) = K(x,u \ (T(y,z) \ w)). x != L(K(y,(z * u) \ w),u,z) | x = K(y,L(u,z,z \ 1) \ ((z \ 1) * w)). 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)). L(K(x,(y * z) \ R(y,u,u \ 1)),z,y) = K(x,z \ a(y,u,u \ 1)). L(K(x,a(y,y \ z,u)),(y \ z) * u,y) = K(x,((y \ z) * u) \ (y \ (z * u))). K(x,(y * z) \ (y * (y * u))) = K(x,(y \ z) \ u). L(K(x,a(y,z,u)),y * (z * u),y * z) = K(x,((y * z) \ (y * (z * u))) \ u). L(K(x,(y \ z) \ ((y \ 1) * u)),y \ z,y \ 1) = K(x,((y \ z) / T(y \ 1,z)) \ u). L(K(x,T(y,z) \ (u * w)),z * (y / z),u) = K(x,(u \ (z * (y / z))) \ w). L(K(x,(y * z) \ ((K(z,y) * u) * w)),y * z,K(z,y) * u) = K(x,(u \ (z * y)) \ w). L(L(K(x,T(y,z)),u,u \ z),z,u) = K(x,(u \ z) \ ((y \ u) \ z)). K(x,(y * (y * z)) / (u * y)) = K(x,z / (u / y)). K(x,(y * z) \ (y * u)) = K(x,(y \ z) \ (y \ u)). K(x,(y \ z) \ (y \ u)) = K(x,(y * z) \ (y * u)). K(x,(y * (y * z)) / u) = K(x,z / ((u / y) / y)). x != K(y,z / ((u / w) / w)) | x = K(y,z / (w \ (w \ u))). K(x,(y * (y * z)) / u) = K(x,z / (y \ (y \ u))). K(x,(y * (y * z)) / (y * u)) = K(x,z / (y \ u)). K(x,(y * z) / (y * u)) = K(x,(y \ z) / (y \ u)). K(x,(y \ z) / (y \ u)) = K(x,(y * z) / (y * u)). K(x,(T(T(y,z),u) \ w) / (T(T(y,z),u) \ z)) = K(x,(T(T(y,z),u) * w) / (z * T(y,u))). x != L(K(y,T(z,u) \ (u * w)),z,u) | x = K(y,(z * (1 / u)) \ T((u * w) * (1 / u),u)). K(x,(y / z) \ u) = K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)). K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)) = K(x,(y / z) \ u). x != L(K(y,T(z,u) \ w),z,u) | x = K(y,(z * u) \ (u * w)). K(x,(y / z) \ u) = K(x,(y * z) \ (z * (z * u))). K(x,(y * z) \ (z * (z * u))) = K(x,(y / z) \ u). L(L(K(x,T(y,z)),u * (u \ z),u \ z),z,u) = K(x,(u \ z) \ ((y \ u) \ z)). L(L(K(x,T(y \ z,(y * (z / y)) * u)),z,z \ ((y * (z / y)) * u)),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). K(x,(y * (1 / z)) \ ((u * z) * (1 / z))) = K(x,(y / z) \ u). K(x,(y / z) \ u) = K(x,(y * (1 / z)) \ ((u * z) * (z \ 1))). K(x,(y * (1 / z)) \ ((u * z) * (z \ 1))) = K(x,(y / z) \ u). K(x,(y * (1 / z)) \ R(u,z,z \ 1)) = K(x,(y / z) \ u). K(x,(y / z) \ u) = K(x,(y * (1 / z)) \ L(u,z,z \ 1)). K(x,(y * (1 / z)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). K(x,(y / z) \ u) = K(x,(y * (z \ 1)) \ L(u,z,z \ 1)). K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). L(K(x,(y * z) \ L(y,u,u \ 1)),z,y) = K(x,z \ a(y,u,u \ 1)). x != L(K(y,(z * u) \ w),u,z) | x = K(y,u \ (z \ w)). K(x,y \ a(z,u,u \ 1)) = K(x,y \ (z \ L(z,u,u \ 1))). K(x,y \ (z \ L(z,u,u \ 1))) = K(x,y \ a(z,u,u \ 1)). x != K(y,(z \ L(u,w,w \ 1)) \ (u \ L(u,w,w \ 1))) | x = K(y,L(u,w,w \ 1) \ (z * T(u \ L(u,w,w \ 1),v5))). K(x,(y \ L(z,u,u \ 1)) \ a(z,u,u \ 1)) = K(x,L(z,u,u \ 1) \ (y * T(z \ L(z,u,u \ 1),w))). K(x,L(y,z,z \ 1) \ (u * T(y \ L(y,z,z \ 1),w))) = K(x,(u \ L(y,z,z \ 1)) \ a(y,z,z \ 1)). (L(K(x,y),z * u,u) * (z * u)) * (u \ 1) = K(x,y) * R(z,u,u \ 1). (L(K(x,y),z,u) * (z * u)) * (u \ 1) = K(x,y) * R(z,u,u \ 1). ((K(x,y) * z) * u) * (u \ 1) = K(x,y) * R(z,u,u \ 1). R(K(x,y) * z,u,u \ 1) = K(x,y) * R(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(T(x,y),z,z \ 1) = a(x,z,z \ 1). a(x,y,y \ 1) = a((x \ z) \ z,y,y \ 1). a((x \ y) \ y,z,z \ 1) = a(x,z,z \ 1). a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). a(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). x \ R(x * K(y,z),u,u \ 1) = a(x,u,u \ 1) * K(y,z). a(L(x,y,K(z,u)),w,w \ 1) = a(x,w,w \ 1). a((x * K(y,z)) / (u * K(y,z)),w,w \ 1) = a(x / u,w,w \ 1). x != a(y,z,u) * K(w,v5) | x = K(w,v5) * a(y,z,u). x \ R(x * K(y,z),u,u \ 1) = K(y,z) * a(x,u,u \ 1). x \ T(x * (K(x,y) * a(z,u,u \ 1)),y) = a((z \ K(y,x / z)) \ 1,u,u \ 1). a((x \ K(y,z / x)) \ 1,u,u \ 1) = z \ T(z * (K(z,y) * a(x,u,u \ 1)),y). x != a(y / z,u,u \ 1) | x = a(z \ y,u,u \ 1). a((x * K(y,z)) / (u * K(y,z)),w,w \ 1) = a(u \ x,w,w \ 1). a(x \ y,z,z \ 1) = a((x * K(u,w)) \ (y * K(u,w)),z,z \ 1). a((x * K(y,z)) \ (u * K(y,z)),w,w \ 1) = a(x \ u,w,w \ 1). L(a(x,y \ z,K(y,u)),(y \ z) * u,y) = K(x,((y \ z) * u) \ (y \ (z * u))). L(a(x,y,K(z,u)),z * (y * u),z * y) = K(x,((z * y) \ (z * (y * u))) \ u). L(L(K(x,T(y,z)),z,u \ z),z,u) = K(x,(u \ z) \ ((y \ u) \ z)). x != L(a(y,z,K(u,w)),v5,v6) | x = a(y,z,L(K(u,w),v5,v6)). K(x,((y \ z) * u) \ (y \ (z * u))) = a(x,y \ z,L(K(y,u),(y \ z) * u,y)). a(x,y \ z,L(K(y,u),(y \ z) * u,y)) = K(x,((y \ z) * u) \ (y \ (z * u))). K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,L(K(y,u),y * (z * u),y * z)). a(x,y,L(K(z,u),z * (y * u),z * y)) = K(x,((z * y) \ (z * (y * u))) \ u). a(x,y \ z,K(y,u)) = K(x,((y \ z) * u) \ (y \ (z * u))). K(x,((y \ z) * u) \ (y \ (z * u))) = a(x,y \ z,K(y,u)). x != a(y,z \ u,K(z,w)) | x = a(z,u,K(y,w)). K(x,((y \ z) * u) \ (y \ (z * u))) = a(y,z,K(x,u)). K(x,(y \ (z * u)) / T((y \ z) * u,((y \ z) * u) \ (y \ (z * u)))) = a(y,z,K(x,u)). T(x,((y \ z) * u) \ (y \ (z * u))) = x * a(y,z,K(x,u)). x != y * a(z,u,K(y,w)) | x = L(y,u,K(z,w)). T(x,((y \ z) * u) \ (y \ (z * u))) = L(x,z,K(y,u)). a(x,y,L(K(z,u),z * (y * u),y)) = K(x,((z * y) \ (z * (y * u))) \ u). K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,L(K(y,u),y * (z * u),z)). K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,L(K(y,u),z * u,z)). K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,L(K(y,u),z,z)). K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,K(y,u)). K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(y,z \ (y \ u))). K(x,((y * z) \ u) \ (z \ (y \ u))) != w | a(x,z,K(y,z \ u)) = w. a((x \ K(y,z / x)) \ 1,u,u \ 1) = z \ T(T(z,y) * a(x,u,u \ 1),y). L(K(x,(y \ z) \ ((y \ 1) * u)),y \ z,y) = K(x,((y \ z) / T(y \ 1,z)) \ u). K(x,y \ (z * ((z \ 1) * u))) = K(x,((z \ y) / T(z \ 1,y)) \ u). K(x,((y \ z) / T(y \ 1,z)) \ u) = K(x,z \ (y * ((y \ 1) * u))). K(x,((y \ z) / T(y \ 1,z)) \ u) = K(x,z \ L(u,y \ 1,y)). K(x,((y \ 1) \ (y \ z)) \ u) = K(x,z \ L(u,y \ 1,y)). L(K(x,y \ L(z,u \ 1,u)),z,u \ K(u,u \ y)) = K(x,(y / u) \ ((u \ K(u,u \ y)) * z)). L(K(x,(y * z) \ ((K(y,z) * u) * w)),y * z,K(z,y) * u) = K(x,(u \ (z * y)) \ w). K(x,(y \ (z * u)) / L((y \ z) * u,z,K(y,u))) = a(y,z,K(x,u)). x != K(y,z / (T(T(u,w),v5) \ w)) | x = K(y,z / (w / T(u,v5))). K(x,(T(T(y,z),u) * w) / (z * T(y,u))) = K(x,(T(T(y,z),u) \ w) / (z / T(y,u))). K(x,(T(T(y,z),u) \ w) / (z / T(y,u))) = K(x,(T(T(y,z),u) * w) / (z * T(y,u))). x != K(y,(T(T(z,u),w) * v5) / (u * T(z,w))) | x = K(y,(z * v5) / (z * u)). K(x,(T(T(y,z),u) \ w) / (z / T(y,u))) = K(x,(y * w) / (y * z)). K(x,L(y,z,z \ 1) \ (u * (y \ L(y,z,z \ 1)))) = K(x,(u \ L(y,z,z \ 1)) \ a(y,z,z \ 1)). K(x,(y \ L(z,u,u \ 1)) \ a(z,u,u \ 1)) != w | K(x,z \ y) = w. L(K(x,L(K(y,z),u,w) * (T(v5,K(y,z)) \ v6)),L(K(y,z),u,w),T(v5,K(y,z))) = K(x,(L(K(y,z),u,w) * v5) \ v6). (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(x,y) * K(y,x),y)) = L(K(x,y),u,w) * z. (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(1,y)) = L(K(x,y),u,w) * z. (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,1) = L(K(x,y),u,w) * z. K(x,y) * (z * (K(y,x) * L(K(x,y),u,w))) = L(K(x,y),u,w) * z. K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). T(x * a(y,z,K(u,w)),K(y,w)) = L(K(y,w),z,u) * (x * K(w,y)). x != K(y,z) * (L(K(z,y),u,w) * v5) | x = a(z,u,K(w,y)) * v5. (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * (x * K(x * a(y,z,K(u,w)),v5)). a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). a(x,y,K(z,u)) * T(w,v5) = T(w * a(x,y,K(z,u)),v5). T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). x \ (y * T((a(z,u,K(w,v5)) * (y \ x)) * a(v5,u,K(w,z)),v6)) = K((x \ (y * a(v5,u,K(w,z)))) \ 1,v6). x \ (y * T(y \ x,z)) = K((x \ (y * a(u,w,K(v5,v6)))) \ 1,z). K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). x != y \ (z * T(z \ y,u)) | x = K((y \ z) \ 1,u). K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). x != K((T(y,z) \ (z * a(u,w,K(v5,v6)))) \ 1,v7) | x = K(((z * a(u,w,K(v5,v6))) / y) \ 1,v7). K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). x != K((T(y,z) \ z) \ 1,u) | x = K((z / y) \ 1,u). K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). x != K(((y \ z) * y) / (L(K(u,w),v5,v6) * y),v7) | x = K(y \ (L(K(w,u),v5,v6) * z),v7). K(((x \ y) * x) / (K(z,u) * x),w) = K(x \ (L(K(u,z),v5,v6) * y),w). K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). x != K((y * z) / (K(u,w) * z),v5) | x = K(z \ (K(w,u) * (z * y)),v5). K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). x != K((y * K(z,u)) \ (L(K(w,u),v5,v6) * v7),v8) | x = K(y \ ((K(u,z) * L(K(u,w) \ 1,v5,v6)) * v7),v8). K((x * K(y,z)) \ (K(u,z) * w),v5) = K(x \ ((K(z,y) * L(K(z,u) \ 1,v6,v7)) * w),v5). K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). x != K((y * K(z,u)) \ w,v5) | x = K(y \ (K(u,z) * w),v5). K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). K(x,y) = K((z * K(u,w)) \ (z * (x * K(u,w))),y). K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). K(L(x,K(y,z),u),w) = K(x,w). L(K(x,y),K(z,u),w) = K(y,x). K(L(x,K(y,z),u),w) * v5 != K(x,w) | 1 = v5. 1 = a(x,K(y,z),K(u,w)). a(x,K(y,z),K(u,w)) = 1. K(x,y) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. x * a(y,K(z,u),K(w,v5)) = x. L(K(x,y),K(z,u),w) != v5 | K(x,y) = v5. 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),L(K(z,u),w,v5),v6) != v7 | K(x,y) = v7. (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). K(x,y) * ((K(z,u) * T(y,x)) * w) = (K(z,u) * y) * w. x != K(y,z) * ((K(u,w) * T(z,y)) * v5) | x = K(u,L(w,T(z,y),v5)) * (z * v5). (K(x,y) * z) * u = K(x,L(y,T(z,w),u)) * (z * u). K(x,L(y,T(z,u),w)) * (z * w) = (K(x,y) * z) * w. x * (y * z) != (K(u,w) * y) * z | x = K(u,L(w,y,z)). K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). L(K(x,y),T(z,u),w) = K(x,L(y,z,w)). L(K(x,y),T(z,u),w) != v5 | L(K(x,y),z,w) = v5. L(K(x,T(y,z) \ (u * w)),y,u) = K(x,(u \ T(y,z)) \ w). L(K(x,(y * T(z,u)) \ w),z,y) = K(x,T(z,u) \ (y \ w)). L(K(x,y),(z \ u) \ 1,T(u,z)) = L(K(x,y),z,(1 / (z \ u)) \ z). L(K(x,y),z * (u / z),w) = L(K(x,y),u,w). L(K(x,y),z \ u,z) = L(K(x,y),T((1 / z) * u,w),1 / z). L(K(x,y),T((1 / z) * u,w),1 / z) = L(K(x,y),z \ u,z). L(K(x,y),z / u,w) != v5 | L(K(x,y),u \ z,w) = v5. x != L(K(y,T(z,u) \ (w * v5)),u * (z / u),w) | x = K(y,(w \ (u * (z / u))) \ v5). L(K(x,T(y,z) \ (u * w)),y,u) = K(x,(u \ (z * (y / z))) \ w). L(L(K(x,T(y / z,T(u,w))),z,z \ T(u,w)),u,y) = K(x,(y \ T(u,w)) \ (z \ T(u,w))). L(K(x,(y * z) \ u),y,z) = K(x,T(y,z) \ (z \ u)). L(L(K(x,T(y / z,T(u,w) * z)),z,T(u,w)),u,z) = K(x,T(u,w) \ (z \ (y * T(u,w)))). L(K(x,((1 / (y \ z)) * z) \ u),1 / (y \ z),z) = K(x,(((1 / (y \ z)) \ y) \ y) \ (z \ u)). x != L(K(y,z),u \ w,u) | x = L(K(y,z),w,u). L(K(x,y),T((1 / z) * u,w),1 / z) = L(K(x,y),u,z). L(K(x,y),T((1 / z) * u,w),z \ 1) = L(K(x,y),u,z). L(K(x,y),T((1 / z) * u,w),z) = L(K(x,y),u,z). L(K(x,y),(1 / z) * u,z) = L(K(x,y),u,z). x != L(y,(1 / z) * u,w) | x = L(y,(z \ 1) * u,w). L(K(x,y),z,u) = L(K(x,y),(u \ 1) * z,u). L(K(x,y),(z \ 1) * u,z) = L(K(x,y),u,z). x != L(K(y,z \ (u * w)),w,u) | x = K(y,(u \ z) \ w). L(K(x,y \ (z * ((z \ 1) * u))),u,z) = K(x,(z \ y) \ ((z \ 1) * u)). x != L(K(y,T(z,u) \ (w * v5)),z,w) | x = K(y,(w \ T(z,u)) \ v5). K(x,(y \ (z * (u / z))) \ w) = K(x,(y \ T(u,z)) \ w). 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(z * (u / z),w)) \ v5) = K(x,(y \ T(T(u,w),z)) \ v5). (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,(1 / (z \ u)) \ z). L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,((z \ u) \ 1) \ z). x != L(K(y,z),u,(w \ 1) \ v5) | x = L(K(y,z),u,w * v5). L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,(z \ u) * z). L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,T(u,z)). L(K(x,y),(z \ u) \ 1,u) != w | L(K(x,y),z,u) = w. x != (y * K(z,u)) * a(w,y,K(z,u)) | x = w \ ((w * y) * K(z,u)). x * (a(y,x,K(z,u)) * K(z,u)) = y \ ((y * x) * K(z,u)). x \ ((x * y) * K(z,u)) = y * (a(x,y,K(z,u)) * K(z,u)). x != y * (a(z,u,K(w,v5)) * v6) | x = y * (v6 * a(z,u,K(w,v5))). x \ ((x * y) * K(z,u)) = y * (K(z,u) * a(x,y,K(z,u))). x \ (y * K(z,u)) = (x \ y) * (K(z,u) * a(x,x \ y,K(z,u))). (x \ y) * (K(z,u) * a(x,x \ y,K(z,u))) = x \ (y * K(z,u)). (x \ y) * L(K(z,u),x \ y,x) = x \ (y * K(z,u)). K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). K(x,y \ (z * T(u,w))) = K(x,(y \ (z * u)) * K(u,w)). K(x,(y \ (z * u)) * K(u,w)) = K(x,y \ (z * T(u,w))). K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). x != K(y,z \ (K(u,w \ 1) * (w \ v5))) | x = K(y,z \ ((T(w \ 1,u) \ 1) \ v5)). K(x,(y \ (z \ u)) * K(w,z \ 1)) = K(x,y \ ((T(z \ 1,w) \ 1) \ u)). K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,(y \ (z \ w)) * K(u,z \ 1)). 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)). T(x,y \ (K(z,u) * w)) = x * K(x,K(z,u) * (y \ w)). x * K(x,K(y,z) * (u \ w)) = T(x,u \ (K(y,z) * w)). 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). 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)). x != K(y,z * (u \ (K(w,v5) * v6))) | x = K(y,z * ((u * K(w,v5)) \ v6)). 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). 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)). x != K(y,K(z,u) * w) | x = K(y,w * K(z,u)). K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(y,z)). 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). (x \ y) * L(K(z,u),y,x) = x \ (y * K(z,u)). (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))). T(x,K(y,z) * (u \ w)) = T(x,u \ (K(y,z) * w)). T(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)). x != T(y,K(z,u) * w) | x = T(y,w * K(z,u)). T(x,y \ (K(z,u) * w)) = T(x,(y \ w) * K(z,u)). x != T(y,z \ (K(u,z \ 1) * w)) | x = T(y,T(z \ 1,u) * w). T(x,(y \ z) * K(u,y \ 1)) = T(x,T(y \ 1,u) * z). x != K(y,K(z,u * w) * v5) | x = K(y,K(z,u \ w) * v5). K(x,(T(y,z * u) * w) \ v5) = K(x,K(y,z \ u) * ((y * w) \ v5)). K(x,K(y,z \ u) * ((y * w) \ v5)) = K(x,(T(y,z * u) * w) \ v5). x != K(y,K(z,u) * (w \ (u * v5))) | x = K(y,w \ (T(u,z) * v5)). K(x,(T(y,z) * u) \ (z * w)) = K(x,(y * u) \ (T(z,y) * w)). x != a((y * K(z,u)) \ (w * K(z,u)),v5,v5 \ 1) | x = a(y \ w,v5,v5 \ 1). a((x * K(y,z)) \ u,w,w \ 1) = a(x \ u,w,w \ 1). K(x,(y * z) \ (u * z)) = K(x,(z * y) \ (u * T(z,y))). K(x,(y * z) \ (u * T(y,z))) = K(x,(z * y) \ (u * y)). x != T(y,(z \ u) * K(w,z \ 1)) | x = T(T(y,K(z,u)),u * T(z \ 1,w)). T(x,T(y \ 1,z) * u) = T(T(x,K(y,u)),u * T(y \ 1,z)). T(T(x,K(y,z)),z * T(y \ 1,u)) = T(x,T(y \ 1,u) * z). a((x \ K(y,z)) \ u,w,w \ 1) = a((x \ 1) \ u,w,w \ 1). K(x,(y * z) \ (u * (z \ (y * z)))) = K(x,(z * y) \ (u * y)). x != T(y,z * T(u \ 1,w)) | x = T(y,z / T(u,w)). T(x,T(y \ 1,z) * u) = T(T(x,K(y,u)),u / T(y,z)). T(T(x,K(y,z)),z / T(y,u)) = T(x,T(y \ 1,u) * z). 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). T(x,T(1 / y,z) * u) = T(x,T(y,z) \ u). x != T(y,T((z \ 1) \ 1,u) * w) | x = T(y,T(z,u) * w). T(x,T(y \ 1,z) \ u) = T(x,T(y,z) * u). x != T(y,T(1 / z,u \ w) * v5) | x = T(y,T(z,u * w) \ v5). T(x,T(y,z \ u) \ w) = T(x,T(y,z * u) \ w). T(x,T(y \ 1,z \ u) \ w) = T(x,T(y,(u \ z) \ 1) * w). x != a((y \ K(z,u / y)) \ 1,w,w \ 1) | x = u \ T(T(u,z) * a(y,w,w \ 1),z). a((x \ 1) \ 1,y,y \ 1) = z \ T(T(z,u) * a(x,y,y \ 1),u). x \ T(T(x,y) * a(z,u,u \ 1),y) = a((z \ 1) \ 1,u,u \ 1). x != K(y,(z * u) \ (w * (u \ (z * u)))) | x = K(y,(z * T(w,u)) / (z * u)). K(x,(y * z) \ (u * z)) = K(x,(z * T(u,y)) / (z * y)). K(x,(y * T(z,u)) / (y * u)) = K(x,(u * y) \ (z * y)). K(x,(y * z) / (y * u)) = K(x,(u * y) \ (T(z,u) * y)). K(x,(y * z) \ (T(u,y) * z)) = K(x,(z * u) / (z * y)). L(K(x,(y * z) \ (u * z)),z,y) = K(x,((z * T(u,y)) / y) / z). L(K(x,(y * z) \ (u * z)),z * y,T(u,y)) = K(x,z / ((z * y) / T(u,y))). x != K(y,(z * u) \ (T(w,z) * v5)) | x = K(y,(T(z,w) * u) \ (w * v5)). K(x,(y * z) / (y * u)) = K(x,(T(u,z) * y) \ (z * y)). K(x,(T(y,z) * u) \ (z * u)) = K(x,(u * z) / (u * y)). L(K(x,(y * z) / (y * u)),y,u) = K(x,y \ (T(u,z) \ (z * y))). x != T(y,T(z,u \ w) \ v5) | x = T(y,T(z,u * w) \ v5). T(x,T(y,(z \ u) \ 1) * w) = T(x,T(y \ 1,u * z) \ w). T(x,T(y \ 1,z * u) \ w) = T(x,T(y,(u \ z) \ 1) * w). x != T(y,T(z \ 1,u) \ w) | x = T(y,T(z,u) * w). T(x,T(y,(z \ u) \ 1) * w) = T(x,T(y,u * z) * w). T(x,T(y,z \ u) * w) = T(x,T(y,z * u) * w). T(x,(y \ z) * u) = T(x,T(u,y * z) * (y \ z)). T(x,T(y,z * u) * (z \ u)) = T(x,(z \ u) * y). K(x,((y * T(z,u)) / u) / y) = K(x,y \ (u \ (z * y))). x != L(K(y,z / (u * w)),u,w) | x = K(y,(z / w) / u). K(x,y \ (T(z,u) \ (u * y))) = K(x,((y * u) / z) / y). x != K(y,K(z,u) * ((z * w) \ v5)) | x = K(y,(T(z,u) * w) \ v5). K(x,(T(y,z * u) * w) \ v5) = K(x,(T(y,z \ u) * w) \ v5). K(x,(T(y,z \ u) * w) \ v5) = K(x,(T(y,z * u) * w) \ v5). K(x,y \ z) = K(x,(T(u,w * v5) * (T(u,w \ v5) \ y)) \ z). K(x,(T(y,z * u) * (T(y,z \ u) \ w)) \ v5) = K(x,w \ v5). K(x,(T(y,z * u) * (z \ u)) \ w) != v5 | K(x,((z \ u) * y) \ w) = v5. K(x,(K(y,z * u) * (K(y,z \ u) * w)) \ v5) = K(x,w \ v5). K(x,(K(y,z * u) * T(w \ y,K(y,z \ u))) \ v5) = K(x,(w \ T(y,z \ u)) \ v5). x != a((y \ z) \ z,u,u \ 1) | x = a(y,u,u \ 1). x \ T(T(x,y) * a(z,u,u \ 1),y) = a(z,u,u \ 1). x * a(y,z,z \ 1) = T(T(x,u) * a(y,z,z \ 1),u). T(T(x,y) * a(z,u,u \ 1),y) = x * a(z,u,u \ 1). T(x * a(y,z,z \ 1),u) = T(x,u) * a(y,z,z \ 1). x * y != T(z,u) * a(w,v5,v5 \ 1) | x \ T(z * a(w,v5,v5 \ 1),u) = y. x \ T(x * a(y,z,z \ 1),u) = a(y,z,z \ 1) * K(x,u). K(x,y * a(z,u,u \ 1)) = K(y,x). K(x,y * a(z,u,u \ 1)) = K(x,y). K(x,y \ a(z,u,u \ 1)) = K(x,y \ 1). K(x,y \ z) = K(x,(z \ L(y,u,u \ 1)) \ 1). K(x,(y \ L(z,u,u \ 1)) \ 1) = K(x,z \ y). x != K(y,(z \ u) \ a(z,w,w \ 1)) | x = K(y,u \ L(z,w,w \ 1)). K(x,(y \ z) \ 1) = K(x,z \ L(y,u,u \ 1)). K(x,y \ L(z,u,u \ 1)) = K(x,(z \ y) \ 1). K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). x != K(y,L(z,u,u \ 1) \ ((u \ 1) * w)) | x = K(y,z \ (u \ w)). K(x,y \ ((z \ 1) * u)) = K(x,y \ (z \ u)). K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). K(x,y \ L(z,u,u \ 1)) != w | K(x,y \ z) = w. x != K(y,(z * (u \ 1)) \ L(w,u,u \ 1)) | x = K(y,(z / u) \ w). K(x,(y * (z \ 1)) \ u) = K(x,(y / z) \ u). K(x,y \ (z * u)) = K(x,y \ ((z \ 1) \ u)). K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). x != K(y,(z / u) \ w) | x = K(y,(z * u) \ (u * (u * w))). K(x,(y * (z \ 1)) \ u) = K(x,(y * z) \ (z * (z * u))). K(x,(y * z) \ (z * (z * u))) = K(x,(y * (z \ 1)) \ u). K(x,(y * (z \ 1)) \ L(u,w,w \ 1)) != v5 | K(x,(y / z) \ u) = v5. K(x,(y * (z \ 1)) \ u) != w | K(x,(y / z) \ u) = w. L(K(x,y \ L(z,u \ 1,u)),z,u) = K(x,(u \ y) \ ((u \ 1) * z)). x != K(y,z * K(u,w \ 1)) | x = K(y,z * K(w,u)). K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,(y \ (z \ w)) * K(z,u)). x != K(y,(z \ (u \ w)) * K(u,v5)) | x = K(y,z \ (T(u,v5) \ w)). K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,y \ (T(z,u) \ w)). x != K(y,z \ ((u \ 1) \ w)) | x = K(y,z \ (u * w)). 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)). x != K(y,z \ (T(u,w) \ v5)) | x = K(y,z \ (((u \ w) \ w) \ v5)). K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ (((z \ u) \ u) \ w)). K(x,y \ (((z \ u) \ u) \ w)) = K(x,y \ (T(z \ 1,u) * w)). x != K(y,z \ (u \ w)) | x = K(y,z \ ((u \ 1) * w)). 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)). x != K(y,z \ ((((u \ w) \ w) \ 1) * v5)) | x = K(y,z \ ((u \ K(u,u \ w)) * v5)). K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ ((z \ K(z,z \ u)) * w)). K(x,y \ ((z \ K(z,z \ u)) * w)) = K(x,y \ (T(z \ 1,u) * w)). L(K(x,(y * z) \ (u * z)),z * y,u) = K(x,z / ((z * y) / T(u,y))). K(x,(K(y,z * u) * T(w \ y,K(y,z * u))) \ v5) = K(x,(w \ T(y,z \ u)) \ v5). K(x,((y \ z) * K(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 \ T(z,u \ w)) \ v5) = K(x,(y \ T(z,u * w)) \ v5). x != K(y,(z \ T(u,w \ u)) \ v5) | x = K(y,(z \ T(u,v6 \ (w \ v6))) \ v5). K(x,(y \ T(z,u * z)) \ w) = K(x,(y \ T(z,v5 \ (u \ v5))) \ w). K(x,(y \ T(z,u \ (w \ u))) \ v5) = K(x,(y \ T(z,w * z)) \ v5). x != K(y,(z \ T(u,w * u)) \ v5) | x = K(y,(z \ T(u,w)) \ v5). K(x,(y \ T(z,u \ (w \ u))) \ v5) = K(x,(y \ T(z,w)) \ v5). x != K(y,(z \ T(u,w \ v5)) \ v6) | x = K(y,(z \ T(u,w * v5)) \ v6). K(x,(y \ T(z,u)) \ w) = K(x,(y \ T(z,v5 * (u \ v5))) \ w). K(x,(y \ T(z,u * (w \ u))) \ v5) = K(x,(y \ T(z,w)) \ v5). x != K(y,(z \ T(u * (w / u),w * (u \ w))) \ v5) | x = K(y,(z \ (u * T(w / u,w))) \ v5). K(x,(y \ T(z * (u / z),z)) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). x != K(y,(z \ T(u * w,u)) \ v5) | x = K(y,(z \ (w * u)) \ v5). K(x,(y \ (z * T(u / z,u))) \ w) = K(x,(y \ ((u / z) * z)) \ w). K(x,(y \ (z * T(u / z,u))) \ w) = K(x,(y \ u) \ w). L(L(K(x,T(y / z,u)),z,z \ T(u,w)),u,y) = K(x,(y \ T(u,w)) \ (z \ T(u,w))). L(L(K(x,T(y / z,z * u)),z,T(u,w)),u,z) = K(x,T(u,w) \ (z \ (y * T(u,w)))). L(L(K(x,T(y / z,z * u)),z,u),u,z) = K(x,T(u,w) \ (z \ (y * T(u,w)))). L(K(x,(y * z) \ (u * z)),z,y) = K(x,T(z,w) \ (y \ (u * T(z,w)))). K(x,T(y,z) \ (u \ (w * T(y,z)))) = K(x,y \ (u \ (w * y))). L(K(x,(((y \ z) \ 1) * z) \ u),1 / (y \ z),z) = K(x,(((1 / (y \ z)) \ y) \ y) \ (z \ u)). L(K(x,(y * ((y / z) \ 1)) \ u),1 / (z \ y),y) = K(x,(((1 / (z \ y)) \ z) \ z) \ (y \ u)). L(K(x,(y * ((y / z) \ 1)) \ u),(z \ y) \ 1,y) = K(x,(((1 / (z \ y)) \ z) \ z) \ (y \ u)). L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,(((1 / (z \ y)) \ z) \ z) \ (y \ u)). x != K(y,((z \ u) \ u) \ w) | x = K(y,T(z,u) \ w). L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,T(1 / (z \ y),z) \ (y \ u)). x != K(y,T(1 / z,u) \ w) | x = K(y,T(z,u) * w). L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,T(z \ y,z) * (y \ u)). L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,(y / z) * (y \ u)). L(K(x,(y / (y / z)) \ u),z,y) = K(x,(y / z) * (y \ u)). L(K(x,((y \ z) \ z) \ u),y,z) = K(x,(z / y) * (z \ u)). L(K(x,T(y,z) \ u),y,z) = K(x,(z / y) * (z \ u)). K(x,(y / z) * (y \ u)) = K(x,(z * y) \ (y * u)). K(x,(y * z) \ (z * u)) = K(x,(z / y) * (z \ u)). x != K(y,(z * u) \ (u * (u * w))) | x = K(y,(z * (u \ 1)) \ w). K(x,(y / z) * (y \ (y * u))) = K(x,(z * (y \ 1)) \ u). K(x,(y / z) * u) = K(x,(z * (y \ 1)) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). K(x,(y / z) \ u) = K(x,(z / y) * u). L(K(x,y * (z \ u)),u,z) = K(x,(y / z) * u). x != K(y / z,(y * (z \ 1)) \ u) | x = K(z \ y,(y \ u) * z). K(x / y,(y / x) * z) = K(y \ x,(x \ z) * y). K(x,(y / z) * u) * K(x,K(u,z * y)) = K(x,u / (z / y)). ((x / y) * z) * (z / ((x / y) * z)) = z * K(x \ y,(y \ z) * x). K(x,y * (z / u)) = K(x,y / (u / z)). K(x,y / (z / u)) = K(x,y * (u / z)). x != K(y,(T(T(z,u),w) \ v5) / (u / T(z,w))) | x = K(y,(z * v5) / (z * u)). K(x,(T(T(y,z),u) \ w) * (T(y,u) / z)) = K(x,(y * w) / (y * z)). x != y * K(z \ u,(u \ y) * z) | x = (u / z) * (y / (u / z)). ((x / y) * z) * (z / ((x / y) * z)) = (y / x) * (z / (y / x)). L(K(x,L(K(y,z),u,w) * (v5 \ v6)),L(K(y,z),u,w),T(v5,K(y,z))) = K(x,(L(K(y,z),u,w) * v5) \ v6). K(x,L(K(y,z),u,w) * (v5 \ v6)) = K(x,(L(K(y,z),u,w) * v5) \ v6). K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,L(K(y,z),u,w) * (v5 \ v6)). L(K(x,L(K(y,z),u,w) * (v5 \ (u * w))),u * w,L(K(y,z),u,w)) = K(x,v5 \ ((K(y,z) * u) * w)). K(x,L(K(y,z),u,w) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(u,w,K(v5,v6)) \ (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(v6,w,K(v5,u)) * (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). T(x,K(y,z)) / (z * T((a(u,w,K(v5,v6)) * (z \ x)) * a(v6,w,K(v5,u)),y)) = K(y,(x \ (z * a(v6,w,K(v5,u)))) \ 1). T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = T(y,K(x,z)) / (z * T(z \ y,x)). x != T(y,K(z,u)) / (u * T(u \ y,z)) | x = K(z,(y \ u) \ 1). K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = K(x,(y \ z) \ 1). K(x,(y \ (a(z,u,K(w,v5)) * v6)) \ 1) = K(x,(y \ v6) \ 1). K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,(v6 \ v5) \ 1). K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). x != K(y,(a(z,u,K(w,v5)) * v6) \ v7) | x = K(y,(K(z,v5) \ v6) \ (L(K(v5,z),u,w) * v7)). K(x,y \ z) = K(x,(K(u,w) \ y) \ (L(K(w,u),v5,v6) * z)). K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,u \ v6). K(x,(K(y,z) * u) \ (L(K(y,z),w,v5) * v6)) = K(x,u \ v6). K(x,y \ ((L(K(z,u),w,v5) * v6) * K(u,z))) = K(x,y \ v6). K(x,y \ (L(K(z,u),w,v5) * (v6 * K(u,z)))) = K(x,y \ v6). K(x,y \ T(z * a(u,w,K(v5,v6)),K(u,v6))) = K(x,y \ z). K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,y \ z). L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,(v6 * (a(z,u,K(w,v5)) / y)) \ v6). 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 \ L(z,u,K(w,v5))) = K(x,y \ z). x != K(y,(z * a(u,w,v5)) \ L(v6 * (a(u,w,v5) * z),w,K(u,v5))) | x = K(y,T(v6,z)). K(x,(y * a(z,u,w)) \ (v5 * (a(z,u,w) * y))) = K(x,T(v5,y)). K(x,y \ T(z,L(u,w,v5))) = K(x,y \ T(z,u)). K(x,y \ T(z,u \ (w * v5))) = K(x,y \ T(z,(w \ u) \ v5)). K(x,y \ T(z,(u \ w) \ v5)) = K(x,y \ T(z,w \ (u * v5))). K(x,T(K(y,a(z,u,w)) * v5,a(z,u,w) * y)) = K(x,T(v5,y)). x != K(y,z \ T(u,w \ v5)) | x = K(y,z \ T(u,w * v5)). K(x,y \ T(z,(u \ w) \ v5)) = K(x,y \ T(z,w * (u * v5))). K(x,T(a(y,z,K(u,w)) * v5,a(u,z,w) * y)) = K(x,T(v5,y)). K(x,y \ T(z,u * (w * v5))) = K(x,y \ T(z,(w \ u) * v5)). K(x,y \ T(z,(u \ w) * v5)) = K(x,y \ T(z,w * (u * v5))). x != K(y,T(a(z,u,K(w,v5)) * v6,v7)) | x = K(y,T(v6,v7)). K(x,T(y,z)) = K(x,T(y,a(u,w,v5) * z)). K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). K(x,K(y,T(a(z,u,w) * v5,v6))) = K(x,y) * K(x,T(y,v5)). K(x,K(y,T(a(z,u,w) * v5,v6))) = K(x,K(y,v5)). K(x,K(y,a(z,u,w) * v5)) = K(x,K(y,v5)). K(x,K(y,z)) * (a(u,w,v5) * z) = T(a(u,w,v5) * z,K(x,y)). K(x,((y \ z) * u) \ T(w,z * (y * u))) != v5 | K(x,w / ((y \ z) * u)) = v5. a(x,y,z) * T(u,K(w,v5)) = T(a(x,y,z) * u,K(w,v5)). T(a(x,y,z) * u,K(w,v5)) = a(x,y,z) * T(u,K(w,v5)). a(x,y,z) \ (u \ T(T(a(x,y,z) * u,K(w,v5)),K(w,v5))) = a(K(w,v5) * u,y,K(x,z)). 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))) | x = K(y,z). L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y). K(x,y / a(z,u,K(w,v5))) != v6 | v6 = K(x,y). K(x,y / a(z,u,K(w,v5))) != v6 | K(x,y) = v6. x != L(K(y,z / u),a(w,v5,K(v6,v7)),u) | x = K(y,z / (u * a(w,v5,K(v6,v7)))). 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 * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. K(x,L(K(y,z),u,w) * v5) != v6 | K(x,K(y,z) * v5) = v6. K(x,y / L(z,u,K(w,v5))) = K(x,y / z). x != K(y,(z \ (u * w)) / L((z \ u) * w,u,K(z,w))) | x = a(z,u,K(y,w)). K(x,(y \ (z * u)) / ((y \ z) * u)) = a(y,z,K(x,u)). 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))). L(K(x,K(y,z) * ((y * z) \ (u * w))),y * z,K(z,y) * u) = K(x,(u \ (z * y)) \ w). a(x,y,z) \ (u \ (a(x,y,z) * u)) = a(K(w,v5) * u,y,K(x,z)). a(K(x,y) * z,u,K(w,v5)) = a(w,u,v5) \ (z \ (a(w,u,v5) * z)). a(K(x,y) * z,u,K(w,v5)) = a(w,u,v5) \ T(a(w,u,v5),z). a(K(x,y) * z,u,K(w,v5)) = K(a(w,u,v5),z). x != K(a(y,z,u),w) | x = a(w,z,K(y,u)). a(K(x,y) * z,u,K(w,v5)) = a(z,u,K(w,v5)). x != a(y * z,u,K(w,v5)) | x = a(w,u,K(v5,z * y)). a(x,y,K(z,u)) = a(z,y,K(u,x * K(w,v5))). a(x,y,K(z,u * K(w,v5))) = a(u,y,K(x,z)). x != a(y,z,K(u,w * K(v5,v6))) | x = a(y,z,K(u,w \ K(v5,v6))). a(x,y,K(z,u)) = a(z,y,K(u,x \ K(w,v5))). a(x,y,K(z,u \ K(w,v5))) = a(u,y,K(x,z)). K(x,y) * a(z,u,K(x,y)) = L(K(x,y),u,K(w,v5) / z). L(K(x,y),z,K(u,w) / v5) = K(x,y) * a(v5,z,K(x,y)). x != K(y,z) * a(u,w,K(y,z)) | x = L(K(y,z),w,u). L(K(x,y),z,K(u,w) / v5) = L(K(x,y),z,v5). L(K(x,y),z,u \ K(w,v5)) = L(K(x,y),z,u). x != L(K(y,z \ L(u,w \ 1,w)),u,w \ K(w,w \ z)) | x = K(y,(z / w) \ ((w \ K(w,w \ z)) * u)). L(K(x,y \ L(z,u \ 1,u)),z,u) = K(x,(y / u) \ ((u \ K(u,u \ y)) * z)). x != L(K(y,z),u,(w * v5) \ w) | x = L(K(y,z),u,v5). L(K(x,y),z,K(u,w) * v5) = L(K(x,y),z,v5). L(K(x,y),z,u \ w) = L(K(x,y),z,u \ T(w,v5)). L(K(x,y),z,u \ T(w,v5)) = L(K(x,y),z,u \ w). L(L(K(x,T(y / z,u)),z,z \ u),u,y) = K(x,(y \ T(u,w)) \ (z \ T(u,w))). x != L(K(y,z \ L(u,w \ 1,w)),u,w) | x = K(y,(w \ z) \ ((w \ 1) * u)). K(x,(y / z) \ ((z \ K(z,z \ y)) * u)) = K(x,(z \ y) \ ((z \ 1) * u)). x != K(y,z \ ((u \ K(u,u \ w)) * v5)) | x = K(y,z \ (T(u \ 1,w) * v5)). K(x,(y \ z) \ ((y \ 1) * u)) = K(x,(z / y) \ (T(y \ 1,z) * u)). K(x,(y / z) \ (T(z \ 1,y) * u)) = K(x,(z \ y) \ ((z \ 1) * u)). x != K(y,z \ ((u \ 1) * w)) | x = K(y,z \ (u \ w)). K(x,(y / z) \ (T(z \ 1,y) * u)) = K(x,(z \ y) \ (z \ u)). x != K(y,(z \ u) \ (z \ w)) | x = K(y,(z * u) \ (z * w)). K(x,(y / z) \ (T(z \ 1,y) * u)) = K(x,(z * y) \ (z * u)). x != K(y,z \ (T(u \ 1,w) * v5)) | x = K(y,z \ (T(u,w) \ v5)). K(x,(y * z) \ (y * u)) = K(x,(z / y) \ (T(y,z) \ u)). K(x,(y / z) \ (T(z,y) \ u)) = K(x,(z * y) \ (z * u)). x != K(y,(z / u) \ w) | x = K(y,(u / z) * w). K(x,(y * z) \ (y * u)) = K(x,(y / z) * (T(y,z) \ u)). K(x,(y / z) * (T(y,z) \ u)) = K(x,(y * z) \ (y * u)). x != K(y,(z / u) * (T(z,u) \ w)) | x = K(y,(u \ z) * (z \ w)). K(x,(y * z) \ (y * u)) = K(x,(z \ y) * (y \ u)). x != K(y,(z * u) \ (z * (z * w))) | x = K(y,(z \ u) \ w). K(x,(y \ z) * (z \ (z * u))) = K(x,(z \ y) \ u). K(x,(y \ z) * u) = K(x,(z \ y) \ u). K(x,(y \ z) \ u) = K(x,(z \ y) * u). x != K(y,(z \ u) \ ((w \ z) \ u)) | x = L(L(K(y,T(w,u)),u,z \ u),u,z). K(x,(y \ z) * ((u \ z) \ y)) = L(L(K(x,T(u,y)),y,z \ y),y,z). L(L(K(x,T(y,z)),z,u \ z),z,u) = K(x,(z \ u) * ((y \ u) \ z)). x != K(y,((z * u) \ z) \ w) | x = K(y,L(u \ 1,u,z) \ w). K(x,(y \ (y * z)) * u) = K(x,L(z \ 1,z,y) \ u). K(x,L(y \ 1,y,z) \ u) = K(x,(z \ (z * y)) * u). K(x,(y \ (z * u)) * (u \ (z \ y))) != w | a(x,u,K(z,u \ y)) = w. K(x,L(y \ 1,y,z) \ u) = K(x,y * u). x * (K(y,z * u) * (x \ y)) = T(y,T(L(z \ 1,z,w) \ u,x)). T(x,T(L(y \ 1,y,z) \ u,w)) = w * (K(x,y * u) * (w \ x)). L(K(x,y * (z \ u)),u,z) = K(x,(z * L(y \ 1,y,w)) \ u). x != L(K(y,z * (u \ w)),w,u) | x = K(y,(z / u) * w). K(x,(y * L(z \ 1,z,u)) \ w) = K(x,(z / y) * w). K(x,(y * (z \ u)) \ w) = K(x,((u \ z) / y) * w). K(x,((y \ z) * u) \ w) = K(x,((z \ y) / T(u,y * z)) * w). K(x,((y \ z) / T(u,z * y)) * w) = K(x,((z \ y) * u) \ w). x != K(y,((z \ u) / T(w,u * z)) * v5) | x = K(y,(w \ (z \ u)) * v5). K(x,((y \ z) * u) \ w) = K(x,(u \ (z \ y)) * w). K(x,(y \ (z \ u)) * T(w,z * (u * y))) != v5 | K(x,w / ((u \ z) * y)) = v5. x != y * (K(z,u) * (y \ z)) | x = T(z,T(u,y)). T(x,T(L(y \ 1,y,z) \ u,w)) = T(x,T(y * u,w)). T(x,T(((y * z) \ y) \ u,w)) = T(x,T(z * u,w)). T(x,T((y / z) \ u,w)) = T(x,T((z / y) * u,w)). T(x,y / (z / u)) = T(x,T((((u \ 1) \ 1) / z) * y,u * z)). T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u / (z / y)). x != T(y,T((((z \ 1) \ 1) / u) * w,z * u)) | x = T(y,w * (z / u)). T(x,y / (z / u)) = T(x,y * (u / z)). x != T(y,z / (T(u,L(w,v5,v6)) / w)) | x = T(y,z / (w \ u)). T(x,y * (z / T(u,L(z,w,v5)))) = T(x,y / (z \ u)). x != T(y,z * (u / T(w,L(u,v5,v6)))) | x = T(y,z * (w \ u)). T(x,y / (z \ u)) = T(x,y * (u \ z)). L(K(x,y \ (z * (u \ y))),y,z) = K(x,(z \ T(y,w)) \ (u \ T(y,w))). x != L(K(y,z \ (u * w)),z,u) | x = K(y,(u \ z) \ w). K(x,(y \ T(z,u)) \ (w \ T(z,u))) = K(x,(y \ z) \ (w \ z)). L(K(x,(y * z) \ (u * w)),z * y,K(y,z) * u) = K(x,(u \ (y * z)) \ w). x != L(K(y,z),u,K(w,v5) * v6) | x = L(K(y,z),u,v6). K(x,(y \ (z * u)) \ w) = L(K(x,(z * u) \ (y * w)),u * z,y). L(K(x,(y * z) \ (u * w)),z * y,u) = K(x,(u \ (y * z)) \ w). x != L(K(y,(z * u) \ (w * u)),u * z,w) | x = K(y,u / ((u * z) / T(w,z))). K(x,(y \ (z * u)) \ u) = K(x,u / ((u * z) / T(y,z))). K(x,y / ((y * z) / T(u,z))) = K(x,(u \ (z * y)) \ y). x != K(y,(z \ u) \ w) | x = K(y,(u \ z) * w). K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,(w \ (((z \ u) / T(y,u * z)) * w)) * w). L(L(K(x,T(y \ z,z * u)),z,z \ ((y * (z / y)) * u)),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). L(L(K(x,T(y \ z,z * u)),z,K(y,y \ z) * u),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). L(L(K(x,T(y \ z,z * u)),z,u),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). L(K(x,(y * z) / (y * u)),(u * (z / u)) * y,z) = K(x,(z \ ((u * (z / u)) * y)) \ (u \ (z * y))). K(x,(y \ ((z * (y / z)) * u)) \ (z \ (y * u))) = L(K(x,(u * y) / (u * z)),K(z,z \ y) * u,y). L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(z \ ((u * (z / u)) * y)) \ (u \ (z * y))). L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(K(u,u \ z) * y) \ (u \ (z * y))). x != K(y,(K(z,u) * w) \ v5) | x = K(y,(w \ v5) * K(z,u)). L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(y \ (u \ (z * y))) * K(u,u \ z)). x != K(y,z * K(u,u \ w)) | x = K(y,z * K(u,w)). L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(y \ (u \ (z * y))) * K(u,z)). L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,y \ (T(u,z) \ (z * y))). x != K(y,z \ (T(u,w) \ (w * z))) | x = K(y,((z * w) / u) / z). L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,((y * z) / u) / y). L(K(x,(y * z) / (y * u)),y,z) = K(x,((y * z) / u) / y). x != L(K(y,(z * u) / w),z,u) | x = K(y,z / (w / u)). K(x,((y * z) / u) / y) = K(x,y / ((y * u) / z)). x != K(y,((z * T(u,w)) / w) / z) | x = K(y,z \ (w \ (u * z))). K(x,y / ((y * z) / T(u,z))) = K(x,y \ (z \ (u * y))). x != K(y,z / ((z * u) / T(w,u))) | x = K(y,(w \ (u * z)) \ z). K(x,y \ (z \ (u * y))) = K(x,(u \ (z * y)) \ y). K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). x != K(y,z \ T(u / w,u)) | x = K(y,z \ (w \ u)). K(x,T(y / z,y) \ (u \ (w * T(y / z,y)))) = K(x,(w \ (u * T(y / z,y))) \ (z \ y)). K(x,(y \ T(z * (u / z),u \ w)) \ (((u \ w) \ w) / z)) = K(x,(((u \ w) \ w) / z) \ (z \ (y * (((u \ w) \ w) / z)))). x != K(y,(z \ (u * T(w / u,w))) \ v5) | x = K(y,(z \ w) \ v5). K(x,T(y / z,y) \ (z \ (u * T(y / z,y)))) = K(x,(u \ y) \ (z \ y)). x != K(y,T(z,u) \ (w \ (v5 * T(z,u)))) | x = K(y,z \ (w \ (v5 * z))). K(x,(y \ z) \ (u \ z)) = K(x,(z / u) \ (u \ (y * (z / u)))). K(x,(y / z) \ (z \ (u * (y / z)))) = K(x,(u \ y) \ (z \ y)). x != K(y,z \ (((u \ w) \ w) / v5)) | x = K(y,z \ (T(u,w) / v5)). K(x,(((y \ z) \ z) / u) \ (u \ (w * (((y \ z) \ z) / u)))) = K(x,(w \ T(u * (y / u),y \ z)) \ (T(y,z) / u)). K(x,(y \ T(z * (u / z),u \ w)) \ (T(u,w) / z)) = K(x,(((u \ w) \ w) / z) \ (z \ (y * (((u \ w) \ w) / z)))). K(x,(((y \ z) \ z) / u) \ (u \ (w * (((y \ z) \ z) / u)))) = K(x,(w \ T(u * (y / u),y * z)) \ (T(y,z) / u)). K(x,(y \ T(z * (u / z),u * w)) \ (T(u,w) / z)) = K(x,(((u \ w) \ w) / z) \ (z \ (y * (((u \ w) \ w) / z)))). x != K(y,(z \ T(u * (w / u),v5)) \ v6) | x = K(y,(z \ T(T(w,v5),u)) \ v6). K(x,(((y \ z) \ z) / u) \ (u \ (w * (((y \ z) \ z) / u)))) = K(x,(w \ T(T(y,y * z),u)) \ (T(y,z) / u)). K(x,(y \ T(T(z,z * u),w)) \ (T(z,u) / w)) = K(x,(((z \ u) \ u) / w) \ (w \ (y * (((z \ u) \ u) / w)))). x != K(y,(z \ T(T(u,u * w),v5)) \ v6) | x = K(y,(z \ T(T(u,v5),w)) \ v6). K(x,(((y \ z) \ z) / u) \ (u \ (w * (((y \ z) \ z) / u)))) = K(x,(w \ T(T(y,u),z)) \ (T(y,z) / u)). x != K(y,(z / u) \ (u \ (w * (z / u)))) | x = K(y,(w \ z) \ (u \ z)). K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ ((z \ w) \ w)) \ (u \ ((z \ w) \ w))). x != K(y,z \ (u \ ((w \ v5) \ v5))) | x = K(y,z \ (u \ T(w,v5))). K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ ((z \ w) \ w)) \ (u \ T(z,w))). x != K(y,(z \ ((u \ w) \ w)) \ v5) | x = K(y,(z \ T(u,w)) \ v5). K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ T(z,w)) \ (u \ T(z,w))). x != K(y,(z \ T(u,w)) \ (v5 \ T(u,w))) | x = K(y,(z \ u) \ (v5 \ u)). K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ z) \ (u \ z)). K(x,(y \ z) \ (u \ z)) = K(x,(T(T(z,u),w) \ y) * (T(z,w) / u)). K(x,(T(T(y,z),u) \ w) * (T(y,u) / z)) = K(x,(w \ y) \ (z \ y)). K(x,(T(T(y,z),u) \ w) * (T(y,u) / z)) = K(x,(y \ w) * (z \ y)). x != K(y,(T(T(z,u),w) \ v5) * (T(z,w) / u)) | x = K(y,(z * v5) / (z * u)). K(x,(y \ z) * (u \ y)) = K(x,(y * z) / (y * u)). K(x,(y * z) / (y * u)) = K(x,(y \ z) * (u \ y)). K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,T((z \ u) / T(y,u * z),w) * w). x != K(y,T(z,u) * u) | x = K(y,u * z). K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,w * ((z \ u) / T(y,u * z))). x != K(y,z * ((u \ w) / T(v5,w * u))) | x = K(y,z * (v5 \ (u \ w))). K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,w * (y \ (z \ u))). K(x,(y \ (z \ u)) * ((T(y,u * z) / (z \ u)) * (w / (T(y,u * z) / (z \ u))))) = K(x,w * (y \ (z \ u))). K(x,(y \ (z \ u)) * T(w,T(y,u * z) / (z \ u))) = K(x,w * (y \ (z \ u))). K(x,(y \ (z \ u)) * T(w,T(y,u * z) * (u \ z))) = K(x,w * (y \ (z \ u))). K(x,(y \ (z \ u)) * T(w,(u \ z) * y)) = K(x,w * (y \ (z \ u))). x != K(y,z * T(u,(w \ v5) * v6)) | x = K(y,z * T(u,v5 * (w * v6))). K(x,y * (z \ (u \ w))) = K(x,(z \ (u \ w)) * T(y,u * (w * z))). K(x,(y \ (z \ u)) * T(w,z * (u * y))) = K(x,w * (y \ (z \ u))). K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). x != K(y,(z \ (u * w)) / ((z \ u) * w)) | x = a(z,u,K(y,w)). K(x,(y \ (z * u)) * (u \ (z \ y))) = a(y,z,K(x,u)). K(x,y / (z * u)) = K(x,y * (u \ ((w * z) \ w))). K(x,y * (z \ ((u * w) \ u))) = K(x,y / (w * z)). K(x,y * (((z * u) \ z) / w)) = K(x,y / (u * T(w,u))). K(x,y / (z * T(u,z))) = K(x,y * (((w * z) \ w) / u)). a(x,y,K(z,y \ u)) = a(u,z,K(x,y)). x != a(y,z,K(u,w)) | x = a(u,z,K(w,y)). a(x,y,K(z,y \ u)) = a(x,z,K(y,u)). x != a(y,z,K(u,z \ w)) | x = a(y,w,K(u,z \ w)). a(x,y,K(z,u)) = a(z,x,K(y,u \ x)). a(x,y,K(z,u \ y)) = a(y,z,K(x,u)). x * L(x \ y,y,K(z,u)) = y * a(z,u,K(x,y)). K(x,y) * a(z,x,K(y,u)) = L(K(x,y),z,u \ z). L(K(x,y),z,u \ z) = K(x,y) * a(z,x,K(y,u)). x != y * a(z,u,K(w,y)) | x = L(y,u,K(w,z)). x * L(x \ y,y,K(z,u)) = L(y,u,K(x,z)). x * L(x \ y,y,K(z,u)) = L(y,z,K(x,u)). x != y * L(y \ z,z,K(u,w)) | x = L(z,w,K(y,u)). L(x,y,K(z,u)) = L(x,u,K(z,y)). x * a(y,z,K(x,u)) = L(x,u,K(y,z)). x * y != L(x,z,K(u,w)) | y = a(w,z,K(x,u)). a(x,y,K(z,u)) = a(y,u,K(z,x)). a(x,y,K(z,u)) = a(u,x,K(z,y)). K(x,y) * a(z,x,K(y,u)) = L(K(x,y),z,u). x != K(y,z) * a(u,y,K(z,w)) | x = L(K(y,z),u,w). L(K(x,y),z,u \ z) = L(K(x,y),z,u). K(x,y / (z * u)) = K(x,y * (((w * u) \ w) / z)). K(x,y * (((z * u) \ z) / w)) = K(x,y / (w * u)). K(x,y * ((z \ u) / w)) = K(x,y / (w * (u \ z))). K(x,y / (z * (u \ w))) = K(x,y * ((w \ u) / z)). x != K(y,(z * u) / (z * w)) | x = K(y,(z \ u) * (w \ z)). K(x,(y * z) * ((u \ w) / y)) = K(x,(y \ z) * ((w \ u) \ y)). K(x,(y \ z) * ((u \ w) \ y)) = K(x,(y * z) * ((w \ u) / y)). K(x,(y * z) * ((z \ u) / y)) * (y * z) = y * (K(x,u) * z). x != K(y,(z \ u) * ((w \ u) \ z)) | x = L(L(K(y,T(w,z)),z,u \ z),z,u). K(x,(y * z) * ((z \ u) / y)) = L(L(K(x,T(u,y)),y,z \ y),y,z). L(L(K(x,T(y,z)),z,u \ z),z,u) = K(x,(z * u) * ((u \ y) / z)). L(L(K(x,T(y,z)),z,u),z,u) = K(x,(z * u) * ((u \ y) / z)). x != L(L(K(y,z),u,w),u,w) | x = K(y,z). K(x,(y * z) * ((z \ u) / y)) = K(x,T(u,y)). K(x,T(y,z)) * (z * u) = z * (K(x,y) * u). ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(y,x,K(z,u)). x != ((y * K(z,u)) * w) \ (y * (K(z,u) * w)) | x = a(w,K(z,u),y). a(x,y,K(z,u)) = a(u,K(x,z),y). end_of_list. ============================== end of input ========================== ============================== PROCESS NON-CLAUSAL FORMULAS ========== % Formulas that are not ordinary clauses: 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 10 a(x,K(y,z),u) = a(y,u,K(z,x)) # label("aK2_eq_aK3") # label(non_clause) # label(goal). [goal]. ============================== end of process non-clausal formulas === ============================== PROCESS INITIAL CLAUSES =============== % Clauses before input processing: formulas(usable). end_of_list. formulas(sos). 1 * x = x. [assumption]. x * 1 = x. [assumption]. x \ (x * y) = y. [assumption]. x * (x \ y) = y. [assumption]. (x * y) / y = x. [assumption]. (x / y) * y = x. [assumption]. x * y != z | x * u != z | u = y. [clausify(1)]. x * y != z | u * y != z | u = x. [clausify(2)]. x * y != x * z | y = z. [clausify(3)]. x * y != z * y | x = z. [clausify(4)]. x != y | z * x = z * y. [assumption]. x != y | x * z = y * z. [assumption]. (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. x \ (y * x) = T(y,x). [assumption]. a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. T(x,y) != x | T(y,x) = y. [clausify(7)]. T(x,y) != x | K(x,y) = 1. [clausify(8)]. K(x,y) != 1 | T(x,y) = x. [clausify(9)]. T(T(x,y),z) = T(T(x,z),y). [assumption]. T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. T(T(x,y),y) = x # label("imord2 T"). [assumption]. a(c2,c4,K(c3,c1)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3"). [deny(10)]. end_of_list. formulas(demodulators). end_of_list. % 19013 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Auto_denials: % copying label "aK2_eq_aK3" to answer in negative clause Term ordering decisions: Function symbol KB weights: 1=1. c2=1. c4=1. c3=1. c1=1. *=1. T=1. \=1. /=1. K=1. L=1. R=1. a=1. Predicate symbol precedence: predicate_order([ = ]). Function symbol precedence: function_order([ 1, c2, c4, c3, c1, *, T, \, /, K, L, R, a ]). Skipping inverse_order, because term ordering is KBO. Unfolding symbols: K/2 T/2 L/3 R/3 a/3. Auto_inference settings: % set(paramodulation). % (positive equality literals) % set(hyper_resolution). % (nonunit Horn with equality) % set(hyper_resolution) -> set(pos_hyper_resolution). % set(neg_ur_resolution). % (nonunit Horn with equality) % assign(para_lit_limit, 3). % (nonunit Horn with equality) Auto_process settings: (no changes). kept: 11 1 * x = x. [assumption]. kept: 12 x * 1 = x. [assumption]. kept: 13 x \ (x * y) = y. [assumption]. kept: 14 x * (x \ y) = y. [assumption]. kept: 15 (x * y) / y = x. [assumption]. kept: 16 (x / y) * y = x. [assumption]. kept: 17 x * y != z | x * u != z | u = y. [clausify(1)]. kept: 18 x * y != z | u * y != z | u = x. [clausify(2)]. kept: 19 x * y != x * z | y = z. [clausify(3)]. kept: 20 x * y != z * y | x = z. [clausify(4)]. kept: 21 x != y | z * x = z * y. [assumption]. kept: 22 x != y | x * z = y * z. [assumption]. 23 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. kept: 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 25 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. kept: 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 27 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. kept: 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 29 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. kept: 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 31 x \ (y * x) = T(y,x). [assumption]. kept: 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. kept: 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. kept: 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. kept: 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. kept: 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. kept: 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. kept: 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 39 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. kept: 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 41 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. kept: 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 43 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. kept: 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. kept: 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. kept: 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. kept: 47 T(T(x,y),y) = x # label("imord2 T"). [assumption]. 48 a(c2,c4,K(c3,c1)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3") # answer("aK2_eq_aK3"). [deny(10)]. kept: 49 a(c1,K(c2,c3),c4) != a(c2,c4,K(c3,c1)) # answer("aK2_eq_aK3"). [copy(48),flip(a)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 49 a(c1,K(c2,c3),c4) != a(c2,c4,K(c3,c1)) # answer("aK2_eq_aK3"). [copy(48),flip(a)]. end_of_list. formulas(sos). 11 1 * x = x. [assumption]. 12 x * 1 = x. [assumption]. 13 x \ (x * y) = y. [assumption]. 14 x * (x \ y) = y. [assumption]. 15 (x * y) / y = x. [assumption]. 16 (x / y) * y = x. [assumption]. 17 x * y != z | x * u != z | u = y. [clausify(1)]. 18 x * y != z | u * y != z | u = x. [clausify(2)]. 19 x * y != x * z | y = z. [clausify(3)]. 20 x * y != z * y | x = z. [clausify(4)]. 21 x != y | z * x = z * y. [assumption]. 22 x != y | x * z = y * z. [assumption]. 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 47 T(T(x,y),y) = x # label("imord2 T"). [assumption]. end_of_list. formulas(demodulators). end_of_list. % 14753 hints (19013 processed, 4260 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.42 seconds. given #1 (I,wt=5): 11 1 * x = x. [assumption]. given #2 (I,wt=5): 12 x * 1 = x. [assumption]. given #3 (I,wt=7): 13 x \ (x * y) = y. [assumption]. given #4 (I,wt=7): 14 x * (x \ y) = y. [assumption]. given #5 (I,wt=7): 15 (x * y) / y = x. [assumption]. given #6 (I,wt=7): 16 (x / y) * y = x. [assumption]. given #7 (I,wt=13): 17 x * y != z | x * u != z | u = y. [clausify(1)]. given #8 (I,wt=13): 18 x * y != z | u * y != z | u = x. [clausify(2)]. given #9 (I,wt=10): 19 x * y != x * z | y = z. [clausify(3)]. given #10 (I,wt=10): 20 x * y != z * y | x = z. [clausify(4)]. given #11 (I,wt=10): 21 x != y | z * x = z * y. [assumption]. given #12 (I,wt=10): 22 x != y | x * z = y * z. [assumption]. given #13 (I,wt=16): 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. given #14 (I,wt=11): 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. given #15 (I,wt=14): 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. given #16 (I,wt=14): 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. given #17 (I,wt=9): 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. given #18 (I,wt=12): 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. given #19 (I,wt=12): 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. given #20 (I,wt=10): 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. given #21 (I,wt=10): 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. given #22 (I,wt=10): 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. given #23 (I,wt=11): 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. given #24 (I,wt=13): 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. given #25 (I,wt=13): 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. given #26 (I,wt=15): 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. given #27 (I,wt=15): 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. given #28 (I,wt=15): 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. given #29 (I,wt=7): 47 T(T(x,y),y) = x # label("imord2 T"). [assumption]. given #30 (H,wt=5): 51 1 \ x = x. [para(11(a,1),13(a,1,2))]. given #31 (H,wt=5): 52 x \ x = 1. [para(12(a,1),13(a,1,2))]. given #32 (H,wt=5): 57 x / x = 1. [para(11(a,1),15(a,1,1))]. given #33 (H,wt=5): 58 x / 1 = x. [para(12(a,1),15(a,1,1))]. given #34 (H,wt=5): 104 T(x,x) = x. [para(32(a,2),13(a,1))]. given #35 (H,wt=7): 50 (1 * x) * 1 = x. [para(12(a,2),11(a,1))]. given #36 (H,wt=7): 60 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. given #37 (H,wt=7): 63 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. given #38 (H,wt=7): 111 1 \ (x * 1) = x. [hyper(18,a,12,a,b,51,a(flip)),flip(a)]. given #39 (H,wt=5): 128 T(x,1) = x. [para(111(a,1),32(a,2))]. given #40 (H,wt=5): 130 K(x,1) = 1. [hyper(36,a,128,a)]. given #41 (H,wt=5): 131 T(1,x) = 1. [hyper(35,a,128,a)]. given #42 (H,wt=5): 133 K(1,x) = 1. [hyper(36,a,131,a)]. given #43 (H,wt=7): 118 x / 1 = 1 * x. [hyper(18,a,16,a,b,50,a),flip(a)]. given #44 (H,wt=7): 129 1 \ x = 1 * x. [para(50(a,1),111(a,1,2))]. given #45 (H,wt=7): 132 T(x,y \ y) = x. [para(52(a,2),128(a,1,2))]. given #46 (H,wt=8): 70 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. given #47 (H,wt=8): 71 1 * x != y | x = y. [para(11(a,1),19(a,2))]. given #48 (H,wt=8): 75 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. given #49 (H,wt=8): 76 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. given #50 (H,wt=8): 134 1 \ x != y | y = x. [para(129(a,2),70(a,1))]. given #51 (H,wt=8): 137 x / 1 != y | x = y. [para(118(a,2),71(a,1))]. given #52 (H,wt=8): 138 1 \ x != y | x = y. [para(129(a,2),71(a,1))]. given #53 (H,wt=9): 54 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. given #54 (H,wt=9): 55 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. given #55 (H,wt=9): 61 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. given #56 (H,wt=9): 62 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. given #57 (H,wt=9): 105 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. given #58 (H,wt=9): 107 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. given #59 (H,wt=9): 112 (x * (x \ 1)) \ y = y. [para(14(a,2),51(a,1,1))]. given #60 (H,wt=9): 113 ((1 / x) * x) \ y = y. [para(16(a,2),51(a,1,1))]. given #61 (H,wt=9): 115 x / ((1 / y) * y) = x. [para(16(a,2),58(a,1,2))]. given #62 (H,wt=9): 116 T(T(x,y),x) = T(x,y). [para(104(a,1),38(a,1,1)),flip(a)]. given #63 (H,wt=7): 178 T(x,T(x,y)) = x. [hyper(35,a,116,a)]. given #64 (H,wt=9): 122 (x * y) / T(x,y) = y. [para(32(a,2),60(a,1,2))]. given #65 (H,wt=9): 149 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,105,a)]. given #66 (H,wt=9): 150 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,105,a(flip)),flip(a)]. given #67 (H,wt=9): 151 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,105,a(flip)),flip(a)]. given #68 (H,wt=9): 153 x * T(y / x,x) = y. [para(105(a,2),16(a,1))]. given #69 (H,wt=9): 166 T(x,y) * y = y * x. [para(47(a,1),105(a,1,2)),flip(a)]. given #70 (H,wt=9): 170 T(x \ y,x) = y / x. [para(107(a,1),47(a,1,1))]. given #71 (H,wt=9): 185 T(x,y) = (y * x) / y. [para(149(a,1),47(a,1,1))]. given #72 (H,wt=10): 73 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. given #73 (H,wt=10): 78 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. given #74 (H,wt=10): 79 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. given #75 (H,wt=10): 136 K(x,1) * y != z | y = z. [para(130(a,2),71(a,1,1))]. given #76 (H,wt=10): 140 x * (y \ y) != z | x = z. [para(52(a,2),76(a,1,2))]. given #77 (H,wt=8): 197 x \ x != y | 1 = y. [para(11(a,1),140(a,1))]. given #78 (H,wt=11): 53 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. given #79 (H,wt=11): 56 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. given #80 (H,wt=11): 59 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. given #81 (H,wt=11): 64 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. given #82 (H,wt=11): 65 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. given #83 (H,wt=11): 66 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. given #84 (H,wt=9): 199 x != y | z != y | z = x. [para(11(a,1),66(b,1))]. given #85 (H,wt=9): 203 (x / y) * y = x * 1. [hyper(199,a,16,a,b,12,a),flip(a)]. given #86 (H,wt=9): 205 x * (x \ y) = y * 1. [hyper(199,a,14,a,b,12,a),flip(a)]. given #87 (H,wt=9): 208 x \ (y * (y \ x)) = 1. [hyper(73,a,205,a(flip))]. given #88 (H,wt=10): 207 (x / y) * y != z | z = x. [para(203(a,2),75(a,1))]. given #89 (H,wt=10): 211 x * (x \ y) != z | z = y. [para(205(a,2),75(a,1))]. given #90 (H,wt=11): 67 x != y | x * z != y | 1 = z. [para(12(a,1),17(a,1)),flip(c)]. given #91 (H,wt=11): 80 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. given #92 (H,wt=11): 81 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. given #93 (H,wt=11): 82 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. given #94 (H,wt=11): 85 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. given #95 (H,wt=11): 106 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. given #96 (H,wt=11): 110 T(T(T(x,y),z),y) = T(x,z). [para(47(a,1),38(a,1,1)),flip(a)]. given #97 (H,wt=11): 117 T(L(x,y,z),x) = L(x,y,z). [para(104(a,1),40(a,1,1)),flip(a)]. given #98 (H,wt=8): 234 T(x,L(x,y,z)) = x. [hyper(35,a,117,a)]. given #99 (H,wt=11): 119 (x / (y \ x)) * z = y * z. [hyper(22,a,60,a)]. given #100 (H,wt=11): 123 x / (y / ((z \ x) \ y)) = z. [para(60(a,2),60(a,1,2))]. given #101 (H,wt=11): 124 ((x / y) \ x) * z = y * z. [hyper(22,a,63,a)]. given #102 (H,wt=11): 125 x * ((y / (x \ z)) \ y) = z. [para(63(a,2),14(a,1,2))]. given #103 (H,wt=11): 127 ((x / (y / z)) \ x) \ y = z. [para(63(a,2),63(a,1,1))]. given #104 (H,wt=11): 152 (x \ y) * T(x,x \ y) = y. [para(105(a,2),14(a,1))]. given #105 (H,wt=11): 171 T(x / (x / y),x / y) = y. [para(107(a,2),63(a,1))]. given #106 (H,wt=11): 172 K(x \ 1,x) = (x \ 1) * x. [para(112(a,1),26(a,2))]. given #107 (H,wt=11): 175 K(x,1 / x) = x * (1 / x). [para(113(a,1),26(a,2))]. given #108 (H,wt=11): 180 T(x,y) * x = x * T(x,y). [para(116(a,1),105(a,1,2)),flip(a)]. given #109 (H,wt=11): 181 x / T(y,y \ x) = y \ x. [para(14(a,1),122(a,1,1))]. given #110 (H,wt=11): 192 T(x,y) * y = x * T(y,x). [para(166(a,2),105(a,2)),flip(a)]. given #111 (H,wt=11): 193 (x \ y) * x = x * (y / x). [para(107(a,1),166(a,1,1))]. given #112 (H,wt=11): 194 x * ((x * y) / x) = y * x. [para(149(a,1),166(a,1,1)),flip(a)]. given #113 (H,wt=11): 200 (x / y) \ x = z * (z \ y). [hyper(199,a,63,a,b,14,a),flip(a)]. given #114 (H,wt=10): 253 (x / y) \ x != z | z = y. [para(200(a,2),211(a,1))]. given #115 (H,wt=10): 254 x \ (x * y) != z | z = y. [para(15(a,1),253(a,1,1))]. given #116 (H,wt=11): 201 x / (y \ x) = z * (z \ y). [hyper(199,a,60,a,b,14,a),flip(a)]. given #117 (H,wt=10): 261 x / (y \ x) != z | z = y. [para(201(a,2),211(a,1))]. given #118 (H,wt=8): 265 x / x != y | 1 = y. [para(51(a,1),261(a,1,2)),flip(b)]. given #119 (H,wt=10): 262 (x * y) / y != z | z = x. [para(13(a,1),261(a,1,2))]. given #120 (H,wt=11): 202 (x * y) / y = (x / z) * z. [hyper(199,a,16,a,b,15,a)]. given #121 (H,wt=11): 204 x \ (x * y) = z * (z \ y). [hyper(199,a,14,a,b,13,a)]. given #122 (H,wt=11): 219 (x / (y * (y \ z))) * z = x. [hyper(207,a,80,a)]. given #123 (H,wt=11): 235 x * (((y / x) \ y) \ z) = z. [hyper(211,a,124,a)]. given #124 (H,wt=11): 236 ((x / y) \ x) * (y \ z) = z. [hyper(199,a,14,a(flip),b,124,a)]. given #125 (H,wt=11): 238 (x / y) * ((z / y) \ z) = x. [para(63(a,1),125(a,1,2,1,2))]. given #126 (H,wt=11): 243 (x \ 1) \ K(x \ 1,x) = x. [hyper(73,a,172,a(flip))]. given #127 (H,wt=12): 72 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. given #128 (H,wt=10): 276 1 * x != y * 1 | x = y. [para(11(a,1),72(a,1,1)),flip(a)]. given #129 (H,wt=10): 277 x * y != x * z | z = y. [para(12(a,1),72(a,1))]. given #130 (H,wt=10): 278 1 * x != y | 1 * y = x. [para(50(a,1),276(a,2)),flip(b)]. given #131 (H,wt=8): 279 x != y | 1 * y = x. [para(11(a,1),278(a,1))]. given #132 (H,wt=12): 90 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. given #133 (H,wt=10): 280 x \ (x * y) = L(y,1,x). [para(12(a,1),90(a,1,1))]. given #134 (H,wt=6): 281 L(x,1,y) = x. [hyper(254,a,280,a)]. given #135 (H,wt=9): 282 L(x,1,y) != z | z = x. [para(280(a,1),254(a,1))]. given #136 (H,wt=12): 91 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. given #137 (H,wt=6): 284 L(1,x,y) = 1. [hyper(197,a,91,a),flip(a)]. given #138 (H,wt=6): 287 a(x,y,1) = 1. [hyper(34,a,284,a)]. given #139 (H,wt=9): 285 L(1,x,y) != z | 1 = z. [para(91(a,1),197(a,1))]. given #140 (H,wt=11): 288 x * a(y,z,1) != u | x = u. [para(287(a,2),76(a,1,2))]. given #141 (H,wt=12): 96 (x * y) / (x * y) = R(1,x,y). [para(11(a,1),30(a,2,1,1)),flip(a)]. given #142 (H,wt=6): 289 R(1,x,y) = 1. [hyper(265,a,96,a),flip(a)]. given #143 (H,wt=9): 290 R(1,x,y) != z | 1 = z. [para(96(a,1),265(a,1))]. given #144 (H,wt=12): 97 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. given #145 (H,wt=10): 292 (x * y) / y = R(x,1,y). [para(12(a,1),97(a,1,1,1))]. given #146 (H,wt=6): 293 R(x,1,y) = x. [hyper(262,a,292,a)]. given #147 (H,wt=9): 294 R(x,1,y) != z | z = x. [para(292(a,1),262(a,1))]. given #148 (H,wt=12): 98 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. given #149 (H,wt=10): 296 (x * y) / y = R(x,y,1). [para(12(a,1),98(a,1,2))]. given #150 (H,wt=6): 297 R(x,y,1) = x. [hyper(262,a,296,a)]. given #151 (H,wt=12): 135 ((1 / x) * x) * y != z | y = z. [para(16(a,2),71(a,1,1))]. given #152 (H,wt=12): 139 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),75(a,1,2))]. given #153 (H,wt=12): 141 (x * (x \ 1)) \ y != z | z = y. [para(14(a,2),134(a,1,1))]. given #154 (H,wt=12): 142 ((1 / x) * x) \ y != z | z = y. [para(16(a,2),134(a,1,1))]. given #155 (H,wt=12): 145 L(x \ 1,x,y) = (y * x) \ y. [para(55(a,1),28(a,2,2))]. given #156 (H,wt=12): 146 R(1 / x,x,y) = y / (x * y). [para(61(a,1),30(a,2,1))]. given #157 (H,wt=12): 155 x * y != z * x | T(z,x) = y. [para(105(a,1),19(a,1)),flip(a)]. given #158 (H,wt=12): 156 x * T(y,x) != z * x | z = y. [para(105(a,2),20(a,2)),flip(a)]. given #159 (H,wt=12): 188 x * y != z * x | T(y,x) = z. [para(166(a,1),20(a,1))]. given #160 (H,wt=12): 206 x * 1 != y * z | x / z = y. [para(203(a,1),20(a,1))]. given #161 (H,wt=12): 209 x * 1 != y * z | y \ x = z. [para(205(a,1),19(a,1))]. given #162 (H,wt=12): 210 x * (x \ y) != y * z | 1 = z. [para(205(a,2),19(a,1))]. given #163 (H,wt=12): 213 x / (y * (y \ 1)) != z | z = x. [para(55(a,1),207(a,1))]. given #164 (H,wt=12): 214 x / ((1 / y) * y) != z | z = x. [para(62(a,1),207(a,1))]. given #165 (H,wt=12): 215 x * T(y,x) != z | y * x = z. [para(122(a,1),207(a,1,1)),flip(b)]. given #166 (H,wt=12): 216 x * y != z | y * T(x,y) = z. [para(150(a,1),207(a,1,1)),flip(b)]. given #167 (H,wt=12): 217 T(x,y) * y != z | y * x = z. [para(185(a,2),207(a,1,1)),flip(b)]. given #168 (H,wt=12): 255 x \ (y * x) != z | T(y,x) = z. [para(122(a,1),253(a,1,1)),flip(b)]. given #169 (H,wt=12): 256 x \ (y * T(x,y)) != z | z = y. [para(150(a,1),253(a,1,1))]. given #170 (H,wt=12): 258 T((x * y) / x,x) != z | z = y. [para(107(a,2),254(a,1))]. given #171 (H,wt=10): 338 T(T(x,y),y) != z | z = x. [para(185(a,2),258(a,1,1))]. given #172 (H,wt=12): 259 x \ (y * (y \ x)) != z | 1 = z. [para(205(a,2),254(a,1,2)),flip(b)]. given #173 (H,wt=12): 264 (x * y) / T(x,y) != z | z = y. [para(32(a,2),261(a,1,2))]. given #174 (H,wt=12): 266 (x * y) / x != z | T(y,x) = z. [para(166(a,1),262(a,1,1)),flip(b)]. given #175 (H,wt=12): 303 L(x \ 1,x,1 / x) = 1 / x. [hyper(199,a,113,a(flip),b,145,a)]. given #176 (H,wt=12): 305 (x * y) * L(y \ 1,y,x) = x. [para(145(a,2),14(a,1,2))]. given #177 (H,wt=12): 311 x / L(y \ 1,y,x) = x * y. [para(145(a,2),60(a,1,2))]. given #178 (H,wt=12): 317 R(1 / x,x,y) \ y = x * y. [para(146(a,2),63(a,1,1))]. given #179 (H,wt=12): 333 x * y != z | T(y,x) * x = z. [para(47(a,1),215(a,1,2))]. given #180 (H,wt=12): 337 T(x / y,y) != z | y \ x = z. [para(14(a,1),258(a,1,1,1)),flip(b)]. given #181 (H,wt=12): 340 T(x \ y,x) != z | y / x = z. [para(107(a,1),338(a,1,1)),flip(b)]. given #182 (H,wt=12): 341 T(x,y) != z | (y * x) / y = z. [para(149(a,1),338(a,1,1)),flip(b)]. given #183 (H,wt=12): 343 x / y != z | T(y \ x,y) = z. [para(14(a,1),266(a,1,1))]. given #184 (H,wt=13): 68 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. given #185 (H,wt=13): 69 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. given #186 (H,wt=11): 358 ((x / y) * y) / z = x / z. [hyper(69,a,203,a,b,203,a)]. given #187 (H,wt=13): 86 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. given #188 (H,wt=13): 87 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. given #189 (H,wt=13): 88 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. given #190 (H,wt=13): 89 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. given #191 (H,wt=13): 163 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),105(a,1,2))]. given #192 (H,wt=13): 167 T(T(x / y,z),y) = T(y \ x,z). [para(107(a,1),38(a,1,1)),flip(a)]. given #193 (H,wt=13): 179 T(T(T(x,y),z),x) = T(T(x,y),z). [para(116(a,1),38(a,1,1)),flip(a)]. given #194 (H,wt=9): 370 T(x,T(T(x,y),z)) = x. [hyper(35,a,179,a)]. given #195 (H,wt=9): 371 K(x,T(T(x,y),z)) = 1. [hyper(36,a,370,a)]. given #196 (H,wt=13): 182 (T(x,y) * z) / T(T(x,z),y) = z. [para(38(a,1),122(a,1,2))]. given #197 (H,wt=13): 183 (x * y) / T(y,T(x,y)) = T(x,y). [para(105(a,1),122(a,1,1))]. given #198 (H,wt=13): 184 T(T((x * y) / x,z),x) = T(y,z). [para(149(a,1),38(a,1,1)),flip(a)]. given #199 (H,wt=13): 186 T((x * y) / x,y) = (x * y) / x. [para(149(a,1),178(a,1,2))]. given #200 (H,wt=13): 187 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),150(a,1,1,2))]. given #201 (H,wt=13): 189 T(T(x,y),z) * y = y * T(x,z). [para(38(a,1),166(a,1,1))]. given #202 (H,wt=13): 195 T(x,T(y,x)) * T(y,x) = x * y. [para(166(a,1),166(a,2))]. given #203 (H,wt=13): 221 x * K(y \ x,y) = (y \ x) * y. [hyper(199,a,82,a(flip),b,85,a(flip)),flip(a)]. given #204 (H,wt=13): 222 x * K(y,x / y) = y * (x / y). [hyper(199,a,81,a(flip),b,85,a(flip)),flip(a)]. given #205 (H,wt=13): 233 T(x / y,(x / y) \ x) = y \ x. [para(63(a,1),106(a,2,1))]. given #206 (H,wt=13): 242 x * T(x \ 1,x) = K(x \ 1,x). [hyper(199,a,105,a,b,172,a),flip(a)]. given #207 (H,wt=13): 247 x \ K(x \ 1,x) = T(x \ 1,x). [para(172(a,2),32(a,2,2)),flip(a)]. given #208 (H,wt=13): 252 T(x,y) * y = x * ((x * y) / x). [para(185(a,1),192(a,2,2))]. given #209 (H,wt=13): 363 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(172(a,2),87(a,1,1))]. given #210 (H,wt=13): 383 1 / K(x,x \ 1) = K(x \ 1,x). [para(363(a,1),60(a,1,2))]. given #211 (H,wt=14): 74 ((x * y) / z) * z != x * u | u = y. [para(16(a,2),19(a,2)),flip(a)]. given #212 (H,wt=14): 77 x \ (x * (y * z)) != u * z | u = y. [para(13(a,2),20(a,2)),flip(a)]. given #213 (H,wt=14): 92 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. given #214 (H,wt=14): 94 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. given #215 (H,wt=12): 405 L(x \ T(y * x,y),x,y) = y. [hyper(199,a,151,a(flip),b,94,a)]. given #216 (H,wt=14): 101 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. given #217 (H,wt=14): 102 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. given #218 (H,wt=14): 121 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),60(a,1,2))]. given #219 (H,wt=14): 126 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),63(a,1,1))]. given #220 (H,wt=14): 143 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(54(a,1),30(a,2,1))]. given #221 (H,wt=14): 148 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(62(a,1),28(a,2,2))]. given #222 (H,wt=14): 173 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(112(a,1),28(a,2)),flip(a)]. given #223 (H,wt=14): 176 (1 / x) * (x * y) = L(y,x,1 / x). [para(113(a,1),28(a,2)),flip(a)]. given #224 (H,wt=14): 177 (x * (1 / y)) * y = R(x,1 / y,y). [para(115(a,1),30(a,2)),flip(a)]. given #225 (H,wt=14): 198 L(x \ (y \ z),x,y) = (y * x) \ z. [para(56(a,1),28(a,2,2))]. given #226 (H,wt=14): 220 x * y != z * y | (z / u) * u = x. [para(81(a,1),20(a,2)),flip(b)]. given #227 (H,wt=14): 223 (x * y) * z != y * x | K(y,x) = z. [para(85(a,1),19(a,1)),flip(a)]. given #228 (H,wt=14): 224 (x * y) * K(y,x) != y * z | z = x. [para(85(a,2),19(a,2)),flip(a)]. given #229 (H,wt=14): 237 ((x / y) \ x) * z != u | y \ u = z. [para(124(a,2),73(a,1))]. given #230 (H,wt=14): 239 (x \ y) * z != y | T(x,x \ y) = z. [para(152(a,1),19(a,1)),flip(a)]. given #231 (H,wt=14): 244 K(x \ 1,x) != y * x | x \ 1 = y. [para(172(a,2),20(a,1))]. given #232 (H,wt=14): 249 T(x,y) * y != x * z | T(y,x) = z. [para(192(a,2),19(a,1))]. given #233 (H,wt=14): 250 x * T(y,x) != z * y | T(x,y) = z. [para(192(a,1),20(a,1))]. given #234 (H,wt=14): 257 (x \ y) \ y != z | T(x,x \ y) = z. [para(181(a,1),253(a,1,1)),flip(b)]. given #235 (H,wt=14): 260 (x * y) \ (y * x) != z | K(y,x) = z. [para(85(a,1),254(a,1,2)),flip(b)]. given #236 (H,wt=14): 267 (x * y) / y != z * u | x / u = z. [para(202(a,2),20(a,1))]. given #237 (H,wt=14): 268 ((x / y) * y) * z != u | x * z = u. [para(202(a,1),207(a,1,1)),flip(b)]. given #238 (H,wt=14): 269 x \ (x * y) != z * u | z \ y = u. [para(204(a,2),19(a,1))]. given #239 (H,wt=14): 270 x * (y * (y \ z)) != u | x * z = u. [para(204(a,1),211(a,1,2)),flip(b)]. given #240 (H,wt=14): 273 x * ((y / z) \ y) != u | u / z = x. [para(238(a,1),20(a,1)),flip(a)]. given #241 (H,wt=14): 275 (x \ 1) * x != y | K(x \ 1,x) = y. [para(243(a,1),211(a,1,2)),flip(b)]. given #242 (H,wt=14): 299 x * (1 / x) != y | K(x,1 / x) = y. [para(85(a,1),135(a,1))]. given #243 (H,wt=14): 300 K(x \ 1,x) != y | (x \ 1) * x = y. [para(26(a,2),141(a,1)),flip(b)]. given #244 (H,wt=14): 301 K(x,1 / x) != y | x * (1 / x) = y. [para(26(a,2),142(a,1)),flip(b)]. given #245 (H,wt=14): 306 L((x \ y) \ 1,x \ y,x) = y \ x. [para(14(a,1),145(a,2,1))]. given #246 (H,wt=14): 307 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),145(a,2,1))]. given #247 (H,wt=14): 313 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),146(a,2,2))]. given #248 (H,wt=14): 314 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),146(a,2,2))]. given #249 (H,wt=14): 323 (x / y) * y != z * u | x / u = z. [para(203(a,2),206(a,1))]. given #250 (H,wt=12): 485 1 * x != y * z | x / z = y. [para(57(a,1),323(a,1,1))]. given #251 (H,wt=14): 324 x * (x \ y) != z * u | y / u = z. [para(205(a,2),206(a,1))]. given #252 (H,wt=14): 327 (x / y) * y != z * u | z \ x = u. [para(203(a,2),209(a,1))]. given #253 (H,wt=14): 328 x * (x \ y) != z * u | z \ y = u. [para(205(a,2),209(a,1))]. given #254 (H,wt=14): 329 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(213,a,30,a(flip)),flip(a)]. given #255 (H,wt=14): 334 x * ((x * y) / x) != z | y * x = z. [para(185(a,1),215(a,1,2))]. given #256 (H,wt=14): 335 (x \ y) * x != z | x * (y / x) = z. [para(107(a,1),217(a,1,1))]. given #257 (H,wt=14): 339 T(T(T(x,y),z),y) != u | T(x,z) = u. [para(38(a,1),338(a,1,1)),flip(b)]. given #258 (H,wt=14): 342 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(110(a,1),338(a,1,1)),flip(b)]. given #259 (H,wt=14): 347 x / L(y,1 / y,x) = x * (1 / y). [para(63(a,1),311(a,1,2,1))]. given #260 (H,wt=14): 350 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(60(a,1),317(a,1,1,1))]. given #261 (H,wt=14): 352 T(x,x \ y) != z | (x \ y) \ y = z. [para(60(a,1),337(a,1,1))]. given #262 (H,wt=14): 356 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(68,a,28,a,b,113,a(flip))]. given #263 (H,wt=14): 357 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(68,a,28,a,b,112,a(flip))]. given #264 (H,wt=14): 359 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(69,a,145,a(flip),b,11,a)]. given #265 (H,wt=14): 384 x \ (x * y) != z * u | y / u = z. [para(16(a,1),77(a,1,2,2)),flip(b)]. given #266 (H,wt=14): 385 (x * y) / L(z \ y,z,x) = x * z. [hyper(69,a,80,a(flip),b,92,a)]. given #267 (H,wt=14): 386 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(68,a,92,a,b,xx)]. given #268 (H,wt=14): 406 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(199,a,113,a(flip),b,94,a)]. given #269 (H,wt=14): 407 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(199,a,112,a(flip),b,94,a)]. given #270 (H,wt=14): 420 (R(x,y,z) * (y * z)) / z = x * y. [hyper(69,a,101,a,b,xx)]. given #271 (H,wt=14): 422 R(x / y,y,z) \ (x * z) = y * z. [hyper(68,a,81,a(flip),b,101,a)]. given #272 (H,wt=14): 423 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(69,a,55,a(flip),b,101,a(flip))]. given #273 (H,wt=14): 424 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(68,a,55,a(flip),b,101,a(flip))]. given #274 (H,wt=14): 441 R((x / y) / z,z,y) = x / (z * y). [hyper(199,a,358,a(flip),b,102,a)]. given #275 (H,wt=14): 442 R(x / (1 / y),1 / y,y) = x * y. [hyper(199,a,115,a(flip),b,102,a)]. given #276 (H,wt=14): 443 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(213,a,102,a(flip))]. given #277 (H,wt=14): 462 K(x,1 / x) \ x = L(x,1 / x,x). [para(175(a,2),148(a,2,1)),flip(a)]. given #278 (H,wt=14): 474 (x * (x \ y)) * z != u | y * z = u. [para(60(a,1),268(a,1,1,1))]. given #279 (H,wt=14): 492 x * y != z * u | z \ (x * y) = u. [para(15(a,1),327(a,1,1))]. given #280 (H,wt=14): 519 K(x,1 / x) * L(x,1 / x,x) = x. [para(462(a,1),14(a,1,2))]. given #281 (H,wt=14): 520 ((x / y) \ x) * z != u | y * z = u. [para(200(a,2),474(a,1,1))]. given #282 (H,wt=14): 521 (x / (y \ x)) * z != u | y * z = u. [para(201(a,2),474(a,1,1))]. given #283 (H,wt=15): 108 T(T(T(x,y),z),u) = T(T(T(x,u),y),z). [para(38(a,1),38(a,1,1)),flip(a)]. given #284 (H,wt=15): 154 x * y != z | y * u != z | T(x,y) = u. [para(105(a,1),17(a,1)),flip(c)]. => 525 back subsumes hint matchers not on Sos. Reset weight to 513.000. given #285 (H,wt=15): 159 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(105(a,1),26(a,2,1)),flip(a)]. given #286 (H,wt=15): 164 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),105(a,1,2))]. given #287 (H,wt=15): 165 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),105(a,1,2))]. given #288 (H,wt=13): 538 R(x,y,z) * x = x * R(x,y,z). [para(104(a,1),165(a,1,2,1)),flip(a)]. given #289 (H,wt=8): 544 T(x,R(x,y,z)) = x. [hyper(188,a,538,a)]. given #290 (H,wt=15): 168 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(107(a,1),40(a,1,1)),flip(a)]. given #291 (H,wt=15): 169 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(107(a,1),42(a,1,1)),flip(a)]. given #292 (H,wt=14): 547 T(x / (y * x),y) = R(y \ 1,y,x). [para(146(a,1),169(a,1,1))]. given #293 (H,wt=15): 190 L(T(x,y),z,u) * y = y * L(x,z,u). [para(40(a,2),166(a,1,1))]. given #294 (H,wt=15): 191 R(T(x,y),z,u) * y = y * R(x,z,u). [para(42(a,2),166(a,1,1))]. given #295 (H,wt=15): 228 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,106,a)]. given #296 (H,wt=15): 229 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,106,a)]. given #297 (H,wt=15): 230 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(199,a,14,a,b,106,a(flip))]. given #298 (H,wt=15): 231 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(106(a,1),38(a,1,1)),flip(a)]. given #299 (H,wt=15): 241 T(x / (x / y),(z / (x / y)) \ z) = y. [para(63(a,2),171(a,1,2))]. given #300 (H,wt=15): 251 T(x,x \ y) * (x \ y) = x * (y / x). [para(170(a,1),192(a,2,2))]. given #301 (H,wt=15): 272 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(181(a,1),236(a,1,1,1))]. given #302 (H,wt=15): 274 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(181(a,1),238(a,1,2,1))]. given #303 (H,wt=15): 346 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(305(a,1),254(a,1,2)),flip(b)]. given #304 (H,wt=15): 351 x / (y * x) != z | R(1 / y,y,x) = z. [para(317(a,1),261(a,1,2)),flip(b)]. given #305 (H,wt=15): 355 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(68,a,106,a,b,14,a)]. given #306 (H,wt=15): 360 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),86(a,2,1)),flip(a)]. given #307 (H,wt=11): 573 K(x \ (x * y),x) = K(y,x). [hyper(199,a,86,a(flip),b,360,a),flip(a)]. given #308 (H,wt=11): 574 K(x \ (x * y),z) = K(y,z). [para(53(a,1),573(a,1,1)),flip(a)]. given #309 (H,wt=11): 575 K((x / y) \ x,z) = K(y,z). [para(16(a,1),574(a,1,1,2))]. given #310 (H,wt=15): 361 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(105(a,2),86(a,1,2))]. given #311 (H,wt=15): 364 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),163(a,1,2,1))]. given #312 (H,wt=15): 365 T(x / y,z) * y = y * T(y \ x,z). [para(107(a,1),163(a,1,2,1)),flip(a)]. given #313 (H,wt=15): 366 T((x * y) / x,z) * x = x * T(y,z). [para(149(a,1),163(a,1,2,1)),flip(a)]. given #314 (H,wt=15): 368 (x * T(x \ y,z)) / x = T(y / x,z). [para(167(a,1),150(a,1,1,2))]. given #315 (H,wt=15): 372 T((x * y) / x,T(y,z)) = (x * y) / x. [para(149(a,1),370(a,1,2,1))]. given #316 (H,wt=15): 373 (x * T(y,z)) / x = T((x * y) / x,z). [para(184(a,1),150(a,1,1,2))]. given #317 (H,wt=15): 481 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(306(a,1),234(a,1,2))]. given #318 (H,wt=11): 585 K((x \ y) \ 1,y \ x) = 1. [hyper(36,a,481,a)]. given #319 (H,wt=11): 587 K(((x * y) \ x) \ 1,y) = 1. [para(13(a,1),585(a,1,2))]. given #320 (H,wt=13): 586 T(x \ y,(y \ x) \ 1) = x \ y. [hyper(35,a,481,a)]. given #321 (H,wt=15): 513 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(407(a,1),234(a,1,2))]. given #322 (H,wt=13): 588 T(x * y,(x \ 1) \ y) = x * y. [hyper(35,a,513,a)]. given #323 (H,wt=15): 555 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(492,a,228,a)]. given #324 (H,wt=15): 556 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(328,a,228,a),flip(a)]. given #325 (H,wt=15): 557 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(73,a,228,a)]. given #326 (H,wt=15): 561 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(199,a,16,a(flip),b,229,a)]. given #327 (H,wt=15): 562 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(69,a,229,a,b,xx)]. given #328 (H,wt=16): 83 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. given #329 (H,wt=16): 93 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. given #330 (H,wt=16): 95 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. given #331 (H,wt=16): 99 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. given #332 (H,wt=16): 103 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. given #333 (H,wt=16): 120 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),60(a,1,2))]. given #334 (H,wt=16): 144 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(55(a,1),24(a,2,1)),flip(a)]. given #335 (H,wt=15): 601 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(329(a,1),144(a,1,2))]. given #336 (H,wt=15): 602 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(601(a,1),14(a,1,2))]. given #337 (H,wt=16): 147 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(62(a,1),24(a,2,1)),flip(a)]. given #338 (H,wt=15): 605 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(177(a,1),147(a,1,2))]. given #339 (H,wt=16): 161 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(105(a,1),28(a,2,2,2)),flip(a)]. given #340 (H,wt=12): 606 L(T(x,y),y,x) = T(x,x * y). [hyper(255,a,161,a),flip(a)]. given #341 (H,wt=12): 610 T(L(x,y,x),y) = T(x,x * y). [hyper(199,a,40,a(flip),b,606,a(flip)),flip(a)]. given #342 (H,wt=12): 614 T(T(x,x * y),y) = L(x,y,x). [para(610(a,1),47(a,1,1))]. given #343 (H,wt=12): 617 T(T(x,y),x * y) = L(x,y,x). [hyper(342,a,614,a)]. given #344 (H,wt=14): 612 x * T(y,y * x) = L(y,x,y) * x. [para(606(a,1),164(a,1,2))]. given #345 (H,wt=14): 615 (x * T(y,y * x)) / x = L(y,x,y). [para(610(a,1),150(a,1,1,2))]. given #346 (H,wt=14): 618 T(T(x,y),x \ y) = L(x,x \ y,x). [para(14(a,1),614(a,1,1,2))]. given #347 (H,wt=14): 621 T(T(x,x \ y),y) = L(x,x \ y,x). [para(14(a,1),617(a,1,2))]. given #348 (H,wt=14): 622 T((x * y) / x,y * x) = L(y,x,y). [para(185(a,1),617(a,1,1))]. given #349 (H,wt=16): 227 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(85(a,1),30(a,2,1)),flip(a)]. given #350 (H,wt=16): 271 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),219(a,1,1))]. given #351 (H,wt=16): 304 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,145,a)]. given #352 (H,wt=16): 308 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(145(a,1),40(a,2,1)),flip(a)]. given #353 (H,wt=14): 630 T((x * y) \ x,y) = L(1 / y,y,x). [para(170(a,1),308(a,2,1))]. given #354 (H,wt=16): 312 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(22,a,146,a)]. given #355 (H,wt=16): 315 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(146(a,1),42(a,2,1)),flip(a)]. given #356 (H,wt=16): 318 x * (y * (y \ z)) != z * u | T(x,z) = u. [para(80(a,2),155(a,2)),flip(a)]. given #357 (H,wt=16): 319 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),156(a,1,2)),flip(b)]. given #358 (H,wt=16): 320 x * T(y,z) != z * y | T(z,T(y,z)) = x. [para(166(a,1),188(a,1)),flip(a)]. given #359 (H,wt=16): 321 x * (y * (y \ 1)) != z * u | x / u = z. [para(14(a,2),206(a,1,2))]. given #360 (H,wt=16): 322 x * ((1 / y) * y) != z * u | x / u = z. [para(16(a,2),206(a,1,2))]. given #361 (H,wt=16): 325 x * 1 != y * z | ((x / u) * u) / z = y. [para(81(a,1),206(a,1))]. given #362 (H,wt=16): 326 x * (y * (y \ 1)) != z * u | z \ x = u. [para(14(a,2),209(a,1,2))]. given #363 (H,wt=16): 330 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),215(a,1,2))]. given #364 (H,wt=16): 336 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(105(a,1),255(a,1,2))]. given #365 (H,wt=16): 344 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(303(a,1),40(a,2,1))]. given #366 (H,wt=14): 637 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(199,a,107,a(flip),b,344,a)]. given #367 (H,wt=16): 348 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(311(a,1),235(a,1,2,1,1))]. given #368 (H,wt=16): 349 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(311(a,1),236(a,1,1,1))]. given #369 (H,wt=15): 641 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(349(a,1),140(a,1))]. given #370 (H,wt=16): 353 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(122(a,1),337(a,1,1))]. given #371 (H,wt=16): 354 x \ L(y \ 1,y,z) = x \ ((z * y) \ z). [hyper(68,a,145,a,b,14,a)]. given #372 (H,wt=16): 362 x * K(y \ x,y) != z | (y \ x) * y = z. [para(86(a,1),211(a,1,2)),flip(b)]. given #373 (H,wt=16): 376 (x \ y) * x != y * z | K(x \ y,x) = z. [para(221(a,1),19(a,1))]. given #374 (H,wt=16): 378 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(221(a,1),254(a,1,2)),flip(b)]. given #375 (H,wt=16): 379 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(222(a,1),254(a,1,2)),flip(b)]. given #376 (H,wt=16): 380 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(247(a,1),211(a,1,2)),flip(b)]. given #377 (H,wt=16): 382 T(x,y) * y != x * z | (x * y) / x = z. [para(252(a,2),19(a,1))]. given #378 (H,wt=16): 387 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(199,a,82,a(flip),b,92,a(flip)),flip(a)]. given #379 (H,wt=16): 388 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(199,a,81,a(flip),b,92,a(flip)),flip(a)]. given #380 (H,wt=14): 646 L(x \ y,x,y / x) = T(y / x,y). [hyper(154,a,80,a(flip),b,388,a),flip(a)]. given #381 (H,wt=16): 409 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(14(a,1),94(a,2,1))]. given #382 (H,wt=16): 410 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),94(a,2,1))]. given #383 (H,wt=16): 414 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(105(a,1),94(a,2,2))]. given #384 (H,wt=12): 652 K(x,y) = L(x \ T(x,y),x,y). [hyper(199,a,26,a,b,414,a),flip(a)]. given #385 (H,wt=15): 654 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(414(a,2),260(a,1))]. given #386 (H,wt=16): 421 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(68,a,82,a(flip),b,101,a)]. given #387 (H,wt=16): 426 R(x,y / z,z) * y = (x * (y / z)) * z. [para(16(a,1),101(a,1,2))]. given #388 (H,wt=16): 444 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),102(a,2,1))]. given #389 (H,wt=16): 445 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),102(a,2,2))]. given #390 (H,wt=16): 446 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),102(a,2,2))]. given #391 (H,wt=16): 456 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),121(a,1,1,2))]. given #392 (H,wt=16): 457 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(105(a,1),121(a,1,1,2))]. given #393 (H,wt=16): 466 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(105(a,1),176(a,1,2)),flip(a)]. given #394 (H,wt=13): 664 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(199,a,637,a(flip),b,466,a(flip))]. given #395 (H,wt=13): 666 (1 / x) * K(x \ 1,x) = x \ 1. [para(172(a,2),664(a,1,2))]. given #396 (H,wt=16): 472 (x * y) / x != z * u | T(y,x) / u = z. [para(166(a,1),267(a,1,1))]. given #397 (H,wt=16): 475 x \ (y * x) != z * u | z \ T(y,x) = u. [para(105(a,1),269(a,1,2))]. given #398 (H,wt=16): 476 (x * (x \ 1)) * y != z * u | z \ y = u. [para(112(a,1),269(a,1))]. given #399 (H,wt=16): 486 x * T(y,x) != z * u | (y * x) / u = z. [para(122(a,1),323(a,1,1))]. given #400 (H,wt=16): 489 (x * (x \ 1)) * y != z * u | y / u = z. [para(14(a,2),485(a,1,1))]. given #401 (H,wt=16): 490 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),485(a,1,1))]. given #402 (H,wt=16): 494 x * T(y,x) != z * u | z \ (y * x) = u. [para(122(a,1),327(a,1,1))]. given #403 (H,wt=16): 501 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(170(a,1),339(a,1,1,1))]. given #404 (H,wt=16): 505 T((x * y) / x,x) != z * u | y / u = z. [para(107(a,2),384(a,1))]. given #405 (H,wt=16): 515 R(x / y,y,x \ z) \ z = y * (x \ z). [para(14(a,1),422(a,1,2))]. given #406 (H,wt=16): 548 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(102(a,1),169(a,1,1))]. given #407 (H,wt=16): 550 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(441(a,1),169(a,1,1)),flip(a)]. given #408 (H,wt=16): 551 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(443(a,1),169(a,1,1)),flip(a)]. given #409 (H,wt=14): 675 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(11(a,1),551(a,2,1))]. given #410 (H,wt=16): 552 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(547(a,1),105(a,1,2)),flip(a)]. given #411 (H,wt=16): 589 T(x * y,(x \ 1) \ y) != z | x * y = z. [para(588(a,1),338(a,1,1)),flip(b)]. given #412 (H,wt=16): 595 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(55(a,1),83(a,1,1))]. given #413 (H,wt=16): 607 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(199,a,40,a(flip),b,161,a)]. given #414 (H,wt=16): 619 L(x / y,y,x / y) = T(T(x / y,x),y). [para(16(a,1),614(a,1,1,2)),flip(a)]. given #415 (H,wt=14): 681 L(x / y,y,x / y) = T(y \ x,x). [hyper(199,a,167,a(flip),b,619,a)]. given #416 (H,wt=16): 632 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(341,a,630,a)]. given #417 (H,wt=16): 633 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(211,a,312,a)]. given #418 (H,wt=16): 634 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(337,a,315,a),flip(a)]. given #419 (H,wt=16): 672 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),548(a,2,1)),flip(a)]. given #420 (H,wt=12): 686 T(R(x,y,x),y * x) = T(x,y). [para(672(a,2),184(a,1,1))]. given #421 (H,wt=12): 688 R(T(x,y * x),y,x) = T(x,y). [hyper(199,a,42,a,b,686,a(flip)),flip(a)]. given #422 (H,wt=14): 692 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),688(a,1,1,2))]. given #423 (H,wt=12): 694 R(x,1 / x,x) = T(x,1 / x). [para(128(a,1),692(a,1,1))]. given #424 (H,wt=13): 695 T(x,1 / x) / x = x * (1 / x). [hyper(69,a,694,a(flip),b,177,a)]. given #425 (H,wt=13): 696 T(x,1 / x) / x = K(x,1 / x). [hyper(199,a,175,a,b,695,a)]. given #426 (H,wt=16): 676 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(13(a,1),551(a,1,1)),flip(a)]. given #427 (H,wt=16): 684 ((x * y) * z) / (x * z) = T(R(y,x,z),x). [para(672(a,2),47(a,1,1)),flip(a)]. given #428 (H,wt=16): 687 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(672(a,2),366(a,1,1))]. given #429 (H,wt=13): 698 (x * y) * T(y,x) = (y * x) * y. [hyper(199,a,101,a(flip),b,687,a(flip))]. given #430 (H,wt=13): 701 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(68,a,54,a(flip),b,698,a)]. given #431 (H,wt=13): 702 K(x \ 1,x) \ x = T(x,x \ 1). [para(172(a,2),701(a,1,1))]. given #432 (H,wt=13): 703 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(199,a,106,a(flip),b,702,a)]. given #433 (H,wt=13): 704 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(703(a,1),14(a,1,2))]. given #434 (H,wt=15): 700 (x * (y / x)) * x = y * T(x,y / x). [hyper(268,a,698,a),flip(a)]. given #435 (H,wt=17): 109 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(42(a,2),38(a,1,1)),flip(a)]. given #436 (H,wt=17): 212 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),207(a,1,1)),flip(b)]. given #437 (H,wt=17): 218 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),211(a,1,2)),flip(b)]. given #438 (H,wt=17): 232 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(106(a,1),40(a,1,1)),flip(a)]. given #439 (H,wt=17): 263 (x * (y * z)) / L(z,y,x) != u | x * y = u. [para(28(a,2),261(a,1,2)),flip(b)]. given #440 (H,wt=17): 302 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(28(a,2),142(a,1)),flip(b)]. given #441 (H,wt=17): 381 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(16(a,1),252(a,2,2,1))]. given #442 (H,wt=15): 714 (x / y) * (x / (x / y)) = (y \ x) * y. [para(107(a,1),381(a,1,1)),flip(a)]. given #443 (H,wt=17): 391 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(92(a,1),19(a,1)),flip(a)]. given #444 (H,wt=17): 392 (x * y) * L(z,y,x) != x * u | y * z = u. [para(92(a,2),19(a,1))]. given #445 (H,wt=17): 403 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(92(a,1),254(a,1,2)),flip(b)]. given #446 (H,wt=17): 404 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(92(a,1),135(a,1))]. given #447 (H,wt=17): 417 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(94(a,2),141(a,1)),flip(b)]. given #448 (H,wt=17): 427 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(101(a,1),20(a,1))]. given #449 (H,wt=17): 436 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(101(a,1),262(a,1,1)),flip(b)]. given #450 (H,wt=17): 437 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(101(a,2),262(a,1,1)),flip(b)]. given #451 (H,wt=17): 438 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(101(a,1),139(a,1)),flip(b)]. given #452 (H,wt=17): 451 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(102(a,2),213(a,1)),flip(b)]. given #453 (H,wt=17): 452 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(102(a,2),214(a,1)),flip(b)]. given #454 (H,wt=17): 467 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(176(a,1),254(a,1,2)),flip(b)]. given #455 (H,wt=17): 502 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(350(a,1),261(a,1,2)),flip(b)]. given #456 (H,wt=17): 504 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(357(a,1),211(a,1,2)),flip(b)]. given #457 (H,wt=17): 508 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(385(a,1),253(a,1,1)),flip(b)]. given #458 (H,wt=17): 509 x * (y * z) != u | (x * y) * L(z,y,x) = u. [para(386(a,1),211(a,1,2)),flip(b)]. given #459 (H,wt=17): 523 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(519(a,1),19(a,1)),flip(a)]. given #460 (H,wt=17): 529 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(32(a,1),164(a,1,2,1))]. given #461 (H,wt=17): 531 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(107(a,1),164(a,1,2,1)),flip(a)]. given #462 (H,wt=17): 532 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(149(a,1),164(a,1,2,1)),flip(a)]. given #463 (H,wt=17): 539 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(107(a,1),165(a,1,2,1)),flip(a)]. given #464 (H,wt=17): 540 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(116(a,1),165(a,1,2,1)),flip(a)]. given #465 (H,wt=10): 734 T(x,R(T(x,y),z,u)) = x. [hyper(188,a,540,a)]. given #466 (H,wt=14): 735 T(x \ y,R(y / x,z,u)) = x \ y. [para(170(a,1),734(a,1,2,1))]. given #467 (H,wt=17): 541 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(149(a,1),165(a,1,2,1)),flip(a)]. given #468 (H,wt=17): 545 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(168(a,1),150(a,1,1,2))]. given #469 (H,wt=16): 747 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(652(a,2),545(a,1,1,2)),flip(a)]. given #470 (H,wt=17): 546 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(169(a,1),150(a,1,1,2))]. given #471 (H,wt=17): 568 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(16(a,1),346(a,1,1))]. given #472 (H,wt=17): 569 (x \ y) / y != z | R(1 / x,x,x \ y) = z. [para(14(a,1),351(a,1,2))]. given #473 (H,wt=17): 582 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(373(a,2),105(a,1,2))]. given #474 (H,wt=17): 583 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(107(a,1),373(a,1,1,2)),flip(a)]. given #475 (H,wt=17): 616 x * T(y,y * x) != z | L(y,x,y) * x = z. [para(610(a,1),215(a,1,2))]. given #476 (H,wt=17): 620 L(x,y,x) * y != z | y * T(x,x * y) = z. [para(614(a,1),217(a,1,1))]. given #477 (H,wt=17): 638 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(68,a,344,a(flip),b,176,a)]. given #478 (H,wt=17): 639 L(T(x \ 1,x),x,1 / x) != y | x \ 1 = y. [para(344(a,2),337(a,1))]. given #479 (H,wt=17): 665 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(63(a,1),664(a,1,2,1))]. given #480 (H,wt=13): 756 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(199,a,63,a(flip),b,665,a)]. given #481 (H,wt=13): 758 (1 / (1 / x)) * K(x,1 / x) = x. [para(175(a,2),756(a,1,2))]. given #482 (H,wt=17): 667 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(68,a,666,a(flip),b,119,a(flip)),flip(a)]. given #483 (H,wt=17): 693 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(688(a,1),101(a,1,1)),flip(a)]. given #484 (H,wt=17): 705 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(199,a,42,a,b,109,a),flip(a)]. given #485 (H,wt=17): 718 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(56(a,1),403(a,1,2))]. given #486 (H,wt=17): 721 L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. [para(243(a,1),417(a,1,1))]. given #487 (H,wt=17): 728 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(172(a,2),504(a,1,2))]. given #488 (H,wt=17): 730 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(79,a,532,a),flip(a)]. given #489 (H,wt=17): 737 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(79,a,541,a),flip(a)]. given #490 (H,wt=18): 84 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. given #491 (H,wt=18): 100 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. given #492 (H,wt=18): 160 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(105(a,1),28(a,2,1)),flip(a)]. given #493 (H,wt=18): 162 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(105(a,1),30(a,2,1,1)),flip(a)]. given #494 (H,wt=18): 174 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(113(a,1),24(a,2)),flip(a)]. given #495 (H,wt=18): 246 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(172(a,2),30(a,2,1,1)),flip(a)]. given #496 (H,wt=18): 309 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(145(a,1),44(a,1,1))]. given #497 (H,wt=18): 310 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(145(a,1),45(a,1,1)),flip(a)]. given #498 (H,wt=17): 777 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(303(a,1),310(a,1,1)),flip(a)]. given #499 (H,wt=18): 316 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(146(a,1),46(a,1,1)),flip(a)]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 380 (0.00 of 4.08 sec). given #500 (H,wt=18): 331 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),215(a,1,2))]. given #501 (H,wt=18): 332 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),215(a,1,2))]. given #502 (H,wt=18): 369 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(167(a,1),215(a,1,2))]. given #503 (H,wt=18): 374 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(184(a,1),156(a,1,2)),flip(b)]. given #504 (H,wt=18): 396 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),92(a,1,2))]. given #505 (H,wt=18): 399 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(105(a,1),92(a,1,1))]. given #506 (H,wt=18): 400 (x * y) * L(z,x,T(y,x)) = T(y,x) * (x * z). [para(166(a,1),92(a,1,1))]. given #507 (H,wt=18): 408 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(199,a,88,a(flip),b,94,a)]. given #508 (H,wt=18): 412 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(94(a,1),40(a,2,1)),flip(a)]. given #509 (H,wt=18): 413 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(105(a,1),94(a,2,1))]. given #510 (H,wt=18): 416 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(175(a,2),94(a,2,2))]. given #511 (H,wt=18): 431 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),101(a,1,1))]. given #512 (H,wt=18): 434 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(105(a,1),101(a,1,2))]. given #513 (H,wt=14): 793 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(17,a,165,a,b,434,a(flip)),flip(a)]. given #514 (H,wt=18): 447 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(102(a,1),42(a,2,1)),flip(a)]. given #515 (H,wt=18): 448 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(102(a,2),107(a,1,1))]. given #516 (H,wt=18): 458 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(105(a,1),126(a,1,2,1))]. given #517 (H,wt=18): 464 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(68,a,40,a(flip),b,173,a)]. given #518 (H,wt=18): 471 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(63(a,1),198(a,1,1))]. given #519 (H,wt=18): 477 (x \ y) \ y != z * u | z \ T(x,x \ y) = u. [para(152(a,1),269(a,1,2))]. given #520 (H,wt=18): 482 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(307(a,1),40(a,2,1)),flip(a)]. given #521 (H,wt=18): 484 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(313(a,1),42(a,2,1)),flip(a)]. given #522 (H,wt=18): 487 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(202(a,1),323(a,1,1))]. given #523 (H,wt=18): 491 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(204(a,1),324(a,1,2))]. given #524 (H,wt=18): 495 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(202(a,1),327(a,1,1))]. given #525 (H,wt=18): 497 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),328(a,1,2))]. given #526 (H,wt=18): 499 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(204(a,1),328(a,1,2))]. given #527 (H,wt=18): 511 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(406(a,1),40(a,2,1))]. given #528 (H,wt=17): 804 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(199,a,466,a(flip),b,511,a(flip)),flip(a)]. given #529 (H,wt=18): 516 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(442(a,1),42(a,2,1))]. given #530 (H,wt=18): 517 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(443(a,1),42(a,2,1))]. given #531 (H,wt=18): 522 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(82(a,2),492(a,1))]. given #532 (H,wt=18): 524 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(181(a,1),520(a,1,1,1))]. given #533 (H,wt=18): 526 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(199,a,92,a(flip),b,164,a(flip)),flip(a)]. given #534 (H,wt=18): 527 L(x,y,z) * u != u * w | L(T(x,u),y,z) = w. [para(164(a,1),19(a,1))]. given #535 (H,wt=18): 535 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(199,a,101,a(flip),b,165,a)]. given #536 (H,wt=18): 536 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(68,a,101,a(flip),b,165,a)]. given #537 (H,wt=18): 537 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(165(a,1),19(a,1))]. given #538 (H,wt=18): 549 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(314(a,1),169(a,1,1)),flip(a)]. given #539 (H,wt=18): 554 (x * (y * z)) / (x * y) = L(T(z,x * y),y,x). [hyper(69,a,92,a(flip),b,190,a)]. given #540 (H,wt=18): 566 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(230(a,2),270(a,1,2))]. given #541 (H,wt=18): 576 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(365(a,1),262(a,1,1)),flip(b)]. given #542 (H,wt=18): 578 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(366(a,1),262(a,1,1)),flip(b)]. given #543 (H,wt=18): 579 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(368(a,1),207(a,1,1)),flip(b)]. given #544 (H,wt=18): 581 T((x * y) / x,T(y,z)) != u | (x * y) / x = u. [para(372(a,1),338(a,1,1)),flip(b)]. given #545 (H,wt=18): 584 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(373(a,1),207(a,1,1)),flip(b)]. given #546 (H,wt=18): 590 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(557(a,1),211(a,1,2)),flip(b)]. given #547 (H,wt=18): 591 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(561(a,1),262(a,1,1)),flip(b)]. given #548 (H,wt=18): 593 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(69,a,82,a(flip),b,83,a)]. given #549 (H,wt=18): 594 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(14(a,1),83(a,1,1,2))]. given #550 (H,wt=18): 604 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(602(a,1),254(a,1,2)),flip(b)]. given #551 (H,wt=18): 611 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(606(a,1),44(a,1,1)),flip(a)]. given #552 (H,wt=18): 613 T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). [para(610(a,1),40(a,1,1)),flip(a)]. given #553 (H,wt=18): 624 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(185(a,1),621(a,1,1))]. given #554 (H,wt=18): 625 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(622(a,1),38(a,1,1)),flip(a)]. given #555 (H,wt=18): 627 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(68,a,271,a(flip),b,165,a)]. given #556 (H,wt=18): 636 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),330(a,1,2,1))]. given #557 (H,wt=18): 642 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(199,a,164,a(flip),b,387,a(flip))]. given #558 (H,wt=18): 647 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(199,a,164,a(flip),b,388,a(flip))]. given #559 (H,wt=18): 648 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(68,a,164,a(flip),b,388,a(flip))]. given #560 (H,wt=18): 655 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(14(a,1),421(a,1,2))]. given #561 (H,wt=18): 656 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(16(a,1),421(a,1,2))]. given #562 (H,wt=18): 680 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(16(a,1),607(a,1,1)),flip(a)]. given #563 (H,wt=18): 683 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(14(a,1),633(a,1,1,2))]. given #564 (H,wt=17): 826 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(683(a,1),140(a,1))]. given #565 (H,wt=18): 685 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(672(a,2),105(a,1,2)),flip(a)]. given #566 (H,wt=18): 697 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(676(a,1),150(a,1,1,2))]. given #567 (H,wt=18): 699 (x * T(y,x)) * T(x,y) = R(x,y,x) * (y * x). [para(105(a,2),687(a,2,1)),flip(a)]. given #568 (H,wt=18): 742 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(545(a,1),258(a,1,1)),flip(b)]. given #569 (H,wt=18): 743 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(94(a,1),545(a,1,1,2))]. given #570 (H,wt=18): 744 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(198(a,1),545(a,1,1,2)),flip(a)]. given #571 (H,wt=18): 745 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(406(a,1),545(a,1,1,2))]. given #572 (H,wt=18): 792 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(18,a,366,a,b,434,a),flip(a)]. given #573 (H,wt=18): 795 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(337,a,447,a),flip(a)]. given #574 (H,wt=18): 802 (x * (x \ y)) * z != u * w | (y * z) / w = u. [para(60(a,1),487(a,1,1,1))]. given #575 (H,wt=18): 820 T(L(L(x,y,x),z,u),y) = T(L(x,z,u),x * y). [hyper(199,a,40,a(flip),b,613,a)]. given #576 (H,wt=18): 822 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(199,a,40,a,b,625,a)]. given #577 (H,wt=18): 823 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [para(16(a,1),627(a,1,2,1)),flip(a)]. given #578 (H,wt=18): 830 T(L(L(x,y,z),u,x),u) = T(L(x,y,z),x * u). [para(45(a,1),820(a,1,1))]. given #579 (H,wt=19): 367 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(106(a,1),163(a,1,2,1))]. given #580 (H,wt=19): 375 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(171(a,1),187(a,1,1,2,1))]. given #581 (H,wt=19): 389 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(69,a,92,a(flip),b,105,a)]. given #582 (H,wt=19): 390 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(68,a,92,a(flip),b,105,a)]. given #583 (H,wt=19): 439 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(101(a,2),155(a,2)),flip(a)]. given #584 (H,wt=19): 478 (x * y) \ x != z * u | z \ L(y \ 1,y,x) = u. [para(305(a,1),269(a,1,2))]. given #585 (H,wt=19): 506 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(305(a,1),384(a,1,2))]. given #586 (H,wt=19): 553 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(547(a,1),215(a,1,2))]. given #587 (H,wt=19): 570 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(105(a,1),351(a,1,2))]. given #588 (H,wt=19): 597 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(83(a,1),254(a,1,2)),flip(b)]. given #589 (H,wt=19): 608 L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. [para(161(a,1),142(a,1)),flip(b)]. given #590 (H,wt=19): 643 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(387(a,1),19(a,1))]. given #591 (H,wt=19): 645 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(387(a,1),254(a,1,2)),flip(b)]. given #592 (H,wt=19): 657 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(421(a,1),261(a,1,2)),flip(b)]. given #593 (H,wt=19): 663 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(457(a,1),253(a,1,1)),flip(b)]. given #594 (H,wt=19): 751 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(107(a,1),582(a,1,2,1,2)),flip(a)]. given #595 (H,wt=19): 753 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(583(a,1),150(a,1,1,2))]. given #596 (H,wt=19): 754 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(583(a,1),151(a,1,2,2))]. given #597 (H,wt=19): 760 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(107(a,1),705(a,1,1,1)),flip(a)]. given #598 (H,wt=19): 775 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(675(a,1),309(a,2,1))]. given #599 (H,wt=19): 794 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(793(a,1),434(a,1,1)),flip(a)]. given #600 (H,wt=15): 840 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(154,a,794,a,b,xx)]. given #601 (H,wt=19): 799 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(407(a,1),464(a,1,2,1)),flip(a)]. given #602 (H,wt=17): 845 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),799(a,2,2,1))]. given #603 (H,wt=13): 847 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(199,a,367,a(flip),b,845,a(flip)),flip(a)]. given #604 (H,wt=19): 803 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(302,a,511,a)]. given #605 (H,wt=19): 805 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(68,a,511,a(flip),b,176,a)]. given #606 (H,wt=19): 807 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(69,a,516,a(flip),b,177,a),flip(a)]. given #607 (H,wt=17): 853 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(11(a,1),807(a,2,1,1))]. given #608 (H,wt=17): 854 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(579,a,853,a)]. given #609 (H,wt=13): 856 (1 / x) * T(x,y) = T(x,y) / x. [para(63(a,1),854(a,1,2,1))]. given #610 (H,wt=13): 859 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(79,a,856,a)]. given #611 (H,wt=13): 860 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(73,a,856,a)]. given #612 (H,wt=17): 857 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(521,a,856,a),flip(a)]. given #613 (H,wt=17): 858 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(154,a,856,a,b,14,a),flip(a)]. given #614 (H,wt=17): 861 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(199,a,229,a(flip),b,856,a(flip))]. given #615 (H,wt=17): 866 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(106(a,1),861(a,1,1)),flip(a)]. given #616 (H,wt=18): 865 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(568,a,858,a)]. given #617 (H,wt=19): 808 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(69,a,517,a(flip),b,329,a)]. given #618 (H,wt=19): 835 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),753(a,1,1,2,1,2))]. given #619 (H,wt=19): 842 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(636,a,799,a),flip(a)]. given #620 (H,wt=19): 843 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(215,a,799,a),flip(a)]. given #621 (H,wt=19): 844 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(73,a,799,a)]. given #622 (H,wt=19): 846 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),799(a,2,2,1))]. given #623 (H,wt=19): 848 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),805(a,1,2,1)),flip(a)]. given #624 (H,wt=19): 850 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(584,a,807,a),flip(a)]. given #625 (H,wt=19): 851 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(579,a,807,a)]. given #626 (H,wt=19): 852 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(68,a,807,a(flip),b,365,a(flip))]. given #627 (H,wt=19): 867 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(199,a,365,a(flip),b,808,a)]. given #628 (H,wt=19): 868 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(842(a,1),14(a,1,2)),flip(a)]. given #629 (H,wt=19): 869 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [para(843(a,1),14(a,1,2))]. given #630 (H,wt=19): 871 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). [para(14(a,1),844(a,1,2,2,1))]. given #631 (H,wt=19): 873 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(69,a,846,a(flip),b,365,a)]. given #632 (H,wt=19): 875 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(16(a,1),851(a,2,1,1))]. given #633 (H,wt=19): 877 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(16(a,1),852(a,1,2,1,1))]. given #634 (H,wt=19): 879 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(867(a,1),16(a,1,1))]. given #635 (H,wt=19): 883 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [hyper(215,a,875,a)]. given #636 (H,wt=20): 157 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(105(a,1),24(a,2,1,2)),flip(a)]. given #637 (H,wt=20): 158 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(105(a,1),24(a,2,2,1)),flip(a)]. given #638 (H,wt=20): 226 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(85(a,1),28(a,2,2,2)),flip(a)]. given #639 (H,wt=20): 240 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(152(a,1),28(a,2,2,2))]. given #640 (H,wt=20): 248 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(175(a,2),28(a,2,1)),flip(a)]. given #641 (H,wt=20): 377 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(221(a,1),28(a,2,2,2)),flip(a)]. given #642 (H,wt=20): 395 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(92(a,1),30(a,2,1)),flip(a)]. given #643 (H,wt=20): 397 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),92(a,1,2))]. given #644 (H,wt=20): 398 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),92(a,1,2))]. given #645 (H,wt=20): 402 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(172(a,2),92(a,1,1))]. given #646 (H,wt=20): 425 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(68,a,101,a(flip),b,92,a)]. given #647 (H,wt=20): 432 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),101(a,1,1))]. given #648 (H,wt=20): 433 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),101(a,1,1))]. given #649 (H,wt=20): 449 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(180(a,1),102(a,2,2))]. given #650 (H,wt=20): 459 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(85(a,1),126(a,1,2,1))]. given #651 (H,wt=20): 463 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(68,a,45,a,b,173,a)]. given #652 (H,wt=20): 465 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(68,a,45,a,b,176,a)]. given #653 (H,wt=19): 896 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(303(a,1),465(a,1,2,1))]. given #654 (H,wt=20): 468 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(69,a,46,a,b,177,a)]. given #655 (H,wt=20): 469 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(69,a,44,a(flip),b,177,a)]. given #656 (H,wt=19): 901 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(694(a,1),469(a,1,1,1))]. given #657 (H,wt=20): 470 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(198(a,1),45(a,1,1)),flip(a)]. given #658 (H,wt=20): 500 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(69,a,44,a(flip),b,329,a)]. given #659 (H,wt=20): 512 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(406(a,1),44(a,1,1)),flip(a)]. given #660 (H,wt=20): 518 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(443(a,1),46(a,1,1)),flip(a)]. given #661 (H,wt=20): 596 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(105(a,1),83(a,1,1,2))]. given #662 (H,wt=20): 599 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(105(a,1),93(a,1,2,2)),flip(a)]. given #663 (H,wt=20): 600 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(14(a,1),99(a,2,2))]. given #664 (H,wt=20): 649 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(409(a,1),40(a,2,1))]. given #665 (H,wt=20): 653 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(414(a,1),40(a,2,1))]. given #666 (H,wt=20): 658 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(446(a,1),42(a,2,1))]. given #667 (H,wt=20): 662 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(446(a,1),169(a,1,1)),flip(a)]. given #668 (H,wt=20): 689 T(R(x,y,x),z) * (y * x) = (y * x) * T(T(x,y),z). [para(686(a,1),163(a,1,2,1)),flip(a)]. given #669 (H,wt=17): 908 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [hyper(199,a,431,a(flip),b,689,a(flip))]. given #670 (H,wt=17): 909 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [para(38(a,1),908(a,1,2))]. given #671 (H,wt=16): 910 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(17,a,535,a,b,909,a),flip(a)]. given #672 (H,wt=20): 727 (1 / x) \ T(1 / x,y) != z | x * T(x \ 1,y) = z. [para(344(a,1),467(a,1,2))]. given #673 (H,wt=20): 738 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(69,a,541,a(flip),b,271,a(flip))]. given #674 (H,wt=20): 741 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(545(a,1),207(a,1,1)),flip(b)]. given #675 (H,wt=20): 750 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(546(a,1),207(a,1,1)),flip(b)]. given #676 (H,wt=20): 761 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(730(a,2),207(a,1,1)),flip(b)]. given #677 (H,wt=20): 766 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(737(a,2),207(a,1,1)),flip(b)]. given #678 (H,wt=20): 767 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(146(a,1),737(a,2,1,2))]. given #679 (H,wt=20): 813 R(T(T(x,y),y * z),y,z) = (y * z) \ ((y * x) * z). [para(166(a,1),536(a,1,2,1)),flip(a)]. given #680 (H,wt=20): 827 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),744(a,2,1,2,1))]. given #681 (H,wt=20): 838 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(102(a,1),760(a,1,1,1))]. given #682 (H,wt=20): 839 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(448(a,1),760(a,1,1)),flip(a)]. given #683 (H,wt=18): 914 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(11(a,1),839(a,2,1,2))]. given #684 (H,wt=20): 855 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(853(a,1),579(a,1))]. given #685 (H,wt=20): 862 T(x,y) / x != T(x,y) * z | T(1 / x,T(x,y)) = z. [para(856(a,1),155(a,2)),flip(a)]. given #686 (H,wt=20): 863 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(856(a,1),521(a,1))]. given #687 (H,wt=20): 890 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(199,a,80,a(flip),b,402,a)]. given #688 (H,wt=20): 915 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),839(a,1,1,1)),flip(a)]. given #689 (H,wt=21): 345 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(305(a,1),28(a,2,2,2))]. given #690 (H,wt=21): 450 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(146(a,2),102(a,1,1))]. given #691 (H,wt=21): 473 (R(x,y,z) * (y * z)) / z != u * w | (x * y) / w = u. [para(101(a,2),267(a,1,1))]. given #692 (H,wt=21): 479 (x * y) \ (x * (y * z)) != u * w | u \ L(z,y,x) = w. [para(92(a,1),269(a,1,2))]. given #693 (H,wt=21): 480 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(101(a,1),269(a,1,2))]. given #694 (H,wt=21): 488 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(121(a,1),323(a,1,1))]. given #695 (H,wt=21): 493 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(30(a,2),327(a,1,1))]. given #696 (H,wt=21): 496 (x * y) * L(z,y,x) != u * w | u \ (x * (y * z)) = w. [para(121(a,1),327(a,1,1))]. given #697 (H,wt=21): 507 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(101(a,1),384(a,1,2))]. given #698 (H,wt=21): 510 x * (y * z) != u * w | u \ ((x * y) * L(z,y,x)) = w. [para(386(a,1),328(a,1,2))]. given #699 (H,wt=21): 514 (x * y) * z != u * w | (R(x,y,z) * (y * z)) / w = u. [para(420(a,1),323(a,1,1))]. given #700 (H,wt=21): 530 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),164(a,1,2,1))]. given #701 (H,wt=20): 918 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(611(a,1),530(a,1,2))]. given #702 (H,wt=21): 533 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(106(a,1),164(a,1,2,1))]. given #703 (H,wt=21): 542 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(106(a,1),165(a,1,2,1))]. given #704 (H,wt=17): 919 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,165,a,b,542,a),flip(a)]. given #705 (H,wt=21): 571 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(175(a,2),351(a,1,2))]. given #706 (H,wt=21): 623 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(618(a,1),217(a,1,1))]. given #707 (H,wt=21): 631 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(308(a,2),92(a,1,2))]. given #708 (H,wt=21): 706 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(42(a,1),212(a,1,1))]. given #709 (H,wt=21): 709 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(105(a,1),212(a,1,2))]. given #710 (H,wt=21): 710 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(40(a,1),218(a,1,2))]. given #711 (H,wt=21): 716 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(105(a,1),403(a,1,1))]. given #712 (H,wt=21): 717 (x * y) \ (T(y,x) * (x * z)) != u | L(z,x,T(y,x)) = u. [para(166(a,1),403(a,1,1))]. given #713 (H,wt=21): 722 (x * y) * T(z,y) != u * (z * y) | R(x,y,T(z,y)) = u. [para(105(a,1),427(a,2,2))]. given #714 (H,wt=21): 726 ((x * T(y,z)) * z) / (z * y) != u | R(x,T(y,z),z) = u. [para(166(a,1),436(a,1,2))]. given #715 (H,wt=21): 740 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(63(a,1),545(a,1,1,2,1))]. given #716 (H,wt=21): 749 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(63(a,1),546(a,1,1,2,1))]. given #717 (H,wt=21): 776 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(199,a,94,a(flip),b,310,a)]. given #718 (H,wt=21): 781 x * ((x \ y) * T(z,y)) != u | L(z,x \ y,x) * y = u. [para(387(a,1),331(a,1))]. given #719 (H,wt=21): 785 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(606(a,1),396(a,1,2,1))]. given #720 (H,wt=17): 923 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(330,a,785,a),flip(a)]. given #721 (H,wt=15): 924 T(x,y) * (x * z) = x * (T(x,y) * z). [para(163(a,1),923(a,1,2)),flip(a)]. given #722 (H,wt=13): 927 T(x,x * y) * y = T(x * y,x). [hyper(249,a,924,a),flip(a)]. given #723 (H,wt=13): 932 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(68,a,55,a(flip),b,924,a),flip(a)]. given #724 (H,wt=13): 939 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(79,a,932,a)]. given #725 (H,wt=13): 940 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(73,a,932,a)]. given #726 (H,wt=15): 925 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(499,a,924,a)]. given #727 (H,wt=15): 926 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(270,a,924,a),flip(a)]. given #728 (H,wt=13): 946 T(x,y) * (x \ y) = (x * y) / x. [hyper(17,a,252,a(flip),b,926,a)]. given #729 (H,wt=11): 949 T(x,y) \ T(y,x) = x \ y. [hyper(68,a,185,a,b,946,a)]. given #730 (H,wt=13): 952 ((x * y) / x) \ T(x,y) = y \ x. [para(185(a,1),949(a,1,1))]. given #731 (H,wt=13): 953 T(x,y) = ((x * y) / x) * (y \ x). [para(952(a,1),14(a,1,2)),flip(a)]. given #732 (H,wt=13): 954 T(x,y) / (y \ x) = (x * y) / x. [para(952(a,1),60(a,1,2))]. given #733 (H,wt=13): 960 x * (T(x,y) \ y) = T(y,T(x,y)). [para(150(a,1),953(a,2,1)),flip(a)]. given #734 (H,wt=15): 928 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(199,a,80,a(flip),b,924,a)]. given #735 (H,wt=15): 929 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(73,a,924,a)]. given #736 (H,wt=15): 930 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(68,a,80,a(flip),b,924,a)]. given #737 (H,wt=15): 931 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(68,a,56,a(flip),b,924,a),flip(a)]. given #738 (H,wt=15): 938 x \ T(y * x,y) = T(T(y,x),y * x). [hyper(68,a,927,a(flip),b,163,a)]. given #739 (H,wt=12): 968 x \ T(y * x,y) = L(y,x,y). [hyper(199,a,617,a(flip),b,938,a)]. given #740 (H,wt=12): 969 x * L(y,x,y) = T(y * x,y). [para(968(a,1),14(a,1,2))]. given #741 (H,wt=15): 948 T(x,x \ y) * y = x * (x * (y / x)). [para(251(a,1),926(a,1,2)),flip(a)]. given #742 (H,wt=15): 959 ((x * (x / y)) / x) * y = T(x,x / y). [para(63(a,1),953(a,2,2)),flip(a)]. given #743 (H,wt=15): 967 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(73,a,931,a),flip(a)]. given #744 (H,wt=15): 971 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(199,a,751,a(flip),b,959,a(flip)),flip(a)]. given #745 (H,wt=16): 941 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(932(a,1),254(a,1,2)),flip(b)]. given #746 (H,wt=16): 955 T(x,y) / (y \ x) != z | (x * y) / x = z. [para(952(a,1),261(a,1,2)),flip(b)]. given #747 (H,wt=17): 935 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(105(a,1),924(a,1,2)),flip(a)]. given #748 (H,wt=15): 978 T(x,T(y,x)) * (y * x) = x * (x * y). [para(195(a,1),935(a,1,2)),flip(a)]. given #749 (H,wt=17): 944 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(939(a,1),873(a,2,1))]. given #750 (H,wt=17): 957 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(68,a,953,a,b,105,a),flip(a)]. given #751 (H,wt=15): 981 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(957(a,1),184(a,1,1))]. given #752 (H,wt=15): 982 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(199,a,106,a(flip),b,981,a)]. given #753 (H,wt=17): 958 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(16(a,1),953(a,2,1,1)),flip(a)]. given #754 (H,wt=17): 962 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),954(a,1,2)),flip(a)]. given #755 (H,wt=13): 984 T(T(x * y,x) / y,x * y) = x. [para(962(a,1),149(a,1,1))]. given #756 (H,wt=16): 985 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(962(a,1),792(a,1,1))]. given #757 (H,wt=14): 987 x * R(y,x,T(y,x)) = T(y * x,y). [para(985(a,1),153(a,1,2))]. given #758 (H,wt=17): 973 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(63(a,1),971(a,1,2,1,2))]. given #759 (H,wt=17): 975 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(154,a,693,a,b,935,a)]. given #760 (H,wt=17): 980 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(944(a,1),16(a,1,1))]. given #761 (H,wt=17): 988 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(150(a,1),973(a,1,2)),flip(a)]. given #762 (H,wt=18): 934 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(924(a,2),19(a,1))]. given #763 (H,wt=18): 947 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(926(a,1),19(a,1))]. given #764 (H,wt=18): 965 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(928(a,1),254(a,1,2)),flip(b)]. given #765 (H,wt=16): 990 T(x,y) \ x != z | x * (T(x,y) \ 1) = z. [para(12(a,1),965(a,1,2))]. given #766 (H,wt=18): 970 T(x,x \ y) * y != x * z | x * (y / x) = z. [para(948(a,2),19(a,1))]. given #767 (H,wt=18): 972 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(967(a,2),211(a,1,2)),flip(b)]. given #768 (H,wt=18): 979 T(x,T(y,x)) * (y * x) != x * z | x * y = z. [para(978(a,2),19(a,1))]. given #769 (H,wt=18): 991 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(13(a,1),972(a,1,2,2))]. given #770 (H,wt=19): 933 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),924(a,1,2)),flip(a)]. given #771 (H,wt=19): 983 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(69,a,149,a(flip),b,958,a),flip(a)]. given #772 (H,wt=19): 992 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(365(a,1),933(a,1,2))]. given #773 (H,wt=20): 942 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(932(a,1),176(a,1,2)),flip(a)]. given #774 (H,wt=20): 956 ((x * y) / x) * (y \ x) != z * u | z \ T(x,y) = u. [para(952(a,1),328(a,1,2))]. given #775 (H,wt=20): 974 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(744(a,2),971(a,1,2))]. given #776 (H,wt=17): 995 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(218,a,974,a)]. given #777 (H,wt=20): 977 T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u. [para(935(a,1),19(a,1))]. given #778 (H,wt=20): 996 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(974(a,1),218(a,1))]. given #779 (H,wt=21): 796 R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. [para(447(a,1),337(a,1))]. given #780 (H,wt=21): 800 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(482(a,2),388(a,1,2)),flip(a)]. given #781 (H,wt=19): 997 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(242(a,1),800(a,1,2))]. given #782 (H,wt=21): 801 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(484(a,2),271(a,1,1))]. given #783 (H,wt=21): 809 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(145(a,1),526(a,2,1)),flip(a)]. given #784 (H,wt=19): 999 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(376,a,809,a)]. given #785 (H,wt=19): 1000 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(69,a,999,a,b,365,a)]. given #786 (H,wt=21): 811 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(535(a,1),19(a,1)),flip(a)]. given #787 (H,wt=21): 824 (x / y) \ (L(z,y,x / y) * x) != u | y * T(z,x) = u. [para(647(a,1),254(a,1,2)),flip(b)]. given #788 (H,wt=21): 825 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(410(a,1),680(a,1,1)),flip(a)]. given #789 (H,wt=21): 832 (x * y) \ ((x * (y / z)) * z) != u | a(x,y / z,z) = u. [para(16(a,1),597(a,1,1,2))]. given #790 (H,wt=21): 895 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(407(a,1),463(a,1,2,1)),flip(a)]. given #791 (H,wt=19): 1001 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),895(a,2,2,1))]. given #792 (H,wt=15): 1003 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(199,a,533,a(flip),b,1001,a(flip)),flip(a)]. given #793 (H,wt=15): 1004 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(68,a,1001,a(flip),b,533,a(flip))]. given #794 (H,wt=21): 897 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(637(a,1),465(a,1,2,1))]. given #795 (H,wt=19): 1008 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(199,a,164,a(flip),b,897,a)]. given #796 (H,wt=21): 899 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(314(a,1),468(a,1,1,1)),flip(a)]. given #797 (H,wt=19): 1010 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(58(a,1),899(a,2,1,1))]. given #798 (H,wt=19): 1011 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(750,a,1010,a)]. given #799 (H,wt=15): 1012 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(63(a,1),1011(a,1,2,1))]. given #800 (H,wt=15): 1015 (1 / x) \ (R(x,y,z) / x) = R(x,y,z). [hyper(73,a,1012,a)]. given #801 (H,wt=15): 1016 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [para(1012(a,2),16(a,1,1))]. given #802 (H,wt=18): 1019 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1015(a,1),211(a,1,2)),flip(b)]. given #803 (H,wt=19): 1013 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(521,a,1012,a),flip(a)]. given #804 (H,wt=20): 1014 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(154,a,1012,a,b,14,a),flip(a)]. given #805 (H,wt=21): 904 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(443(a,1),500(a,1,1,1))]. given #806 (H,wt=21): 911 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(313(a,1),738(a,1,1,2))]. given #807 (H,wt=21): 936 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(107(a,1),924(a,1,1)),flip(a)]. given #808 (H,wt=19): 1023 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(107(a,1),936(a,1,2,1))]. given #809 (H,wt=17): 1026 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(326,a,1023,a),flip(a)]. given #810 (H,wt=15): 1028 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(199,a,866,a(flip),b,1026,a(flip)),flip(a)]. given #811 (H,wt=17): 1027 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(68,a,55,a(flip),b,1023,a),flip(a)]. given #812 (H,wt=19): 1025 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(499,a,1023,a)]. given #813 (H,wt=20): 1030 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1027(a,1),19(a,1))]. given #814 (H,wt=21): 998 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(579,a,801,a),flip(a)]. given #815 (H,wt=21): 1021 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(199,a,531,a(flip),b,904,a)]. given #816 (H,wt=19): 1032 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [para(11(a,1),1021(a,1,1,1))]. given #817 (H,wt=18): 1034 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(199,a,304,a(flip),b,1032,a)]. given #818 (H,wt=18): 1035 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1034(a,1),16(a,1,1))]. given #819 (H,wt=17): 1037 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(199,a,145,a(flip),b,1035,a)]. given #820 (H,wt=18): 1036 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1034(a,1),63(a,1,1))]. given #821 (H,wt=21): 1022 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(199,a,751,a(flip),b,911,a)]. given #822 (H,wt=21): 1029 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(63(a,1),1026(a,1,2,1)),flip(a)]. given #823 (H,wt=17): 1041 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(63(a,1),1029(a,1,1)),flip(a)]. given #824 (H,wt=21): 1031 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(365(a,1),998(a,1,1))]. given #825 (H,wt=19): 1043 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(242(a,1),1031(a,1,1))]. given #826 (H,wt=22): 196 ((x * y) * z) / (x * (y * z)) = T(a(x,y,z),x * (y * z)). [para(24(a,2),170(a,1,1)),flip(a)]. given #827 (H,wt=22): 225 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(85(a,1),28(a,2,1)),flip(a)]. given #828 (H,wt=22): 245 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(172(a,2),24(a,2,1,2)),flip(a)]. given #829 (H,wt=22): 415 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(85(a,1),94(a,2,1))]. given #830 (H,wt=22): 435 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(85(a,1),101(a,1,2))]. given #831 (H,wt=22): 483 (x / y) \ (L(y \ 1,y,x / y) * x) = K(x \ (x / y),x). [para(307(a,2),86(a,1,2,1))]. given #832 (H,wt=15): 1047 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(824,a,483,a),flip(a)]. given #833 (H,wt=15): 1048 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(68,a,483,a(flip),b,648,a(flip))]. given #834 (H,wt=15): 1050 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(199,a,854,a(flip),b,1047,a)]. given #835 (H,wt=15): 1051 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(199,a,845,a(flip),b,1047,a)]. given #836 (H,wt=15): 1055 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1050(a,2),16(a,1,1)),flip(a)]. given #837 (H,wt=18): 1049 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(483(a,1),824(a,1))]. given #838 (H,wt=18): 1053 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1048(a,1),211(a,1,2)),flip(b)]. given #839 (H,wt=19): 1057 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(107(a,1),1051(a,2,2))]. given #840 (H,wt=21): 1052 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(858(a,1),1047(a,1,1))]. given #841 (H,wt=21): 1058 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(149(a,1),1051(a,2,2))]. given #842 (H,wt=22): 534 x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. [para(164(a,2),492(a,1))]. given #843 (H,wt=22): 543 x * R(T(y,x),z,u) != w * v5 | w \ (R(y,z,u) * x) = v5. [para(165(a,2),492(a,1))]. given #844 (H,wt=22): 560 ((x \ y) \ y) * (T(x,x \ y) \ z) != u * w | z / w = u. [para(228(a,1),324(a,1))]. given #845 (H,wt=22): 564 (x / T(y,y \ z)) * ((y \ z) \ z) != u * w | x / w = u. [para(229(a,1),323(a,1))]. given #846 (H,wt=22): 565 x * T(y,y \ z) != u * w | u \ (x * ((y \ z) \ z)) = w. [para(229(a,2),492(a,1))]. given #847 (H,wt=22): 567 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(231(a,1),215(a,1,2))]. given #848 (H,wt=16): 1062 x \ T(x,y) != z | T(x,y) * (x \ 1) = z. [para(845(a,1),567(a,1))]. given #849 (H,wt=22): 580 T(x / y,z) * y != u * w | (y * T(y \ x,z)) / w = u. [para(368(a,1),323(a,1,1))]. given #850 (H,wt=22): 592 x * ((y \ z) \ z) != u * w | (x * T(y,y \ z)) / w = u. [para(562(a,1),323(a,1,1))]. given #851 (H,wt=22): 598 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(101(a,1),83(a,1,1))]. given #852 (H,wt=22): 603 (x * y) \ (x * R(y,z,z \ 1)) = L(a(y,z,z \ 1),y,x). [para(601(a,1),94(a,1,1)),flip(a)]. given #853 (H,wt=22): 609 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(101(a,1),161(a,1,2))]. given #854 (H,wt=22): 628 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(44(a,1),271(a,1,1))]. given #855 (H,wt=22): 635 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(106(a,1),319(a,1,2))]. given #856 (H,wt=22): 640 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(155,a,349,a),flip(a)]. given #857 (H,wt=22): 644 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),387(a,1,2))]. given #858 (H,wt=22): 650 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(409(a,1),44(a,1,1)),flip(a)]. given #859 (H,wt=22): 659 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(446(a,1),46(a,1,1)),flip(a)]. given #860 (H,wt=22): 669 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(666(a,1),121(a,1,1,2))]. given #861 (H,wt=22): 670 x * R(T(y,x),z,u) != w * v5 | (R(y,z,u) * x) / v5 = w. [para(42(a,2),486(a,1,2))]. given #862 (H,wt=22): 671 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(122(a,1),515(a,1,1,1))]. given #863 (H,wt=22): 677 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(16(a,1),552(a,1,1,2)),flip(a)]. given #864 (H,wt=22): 682 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(14(a,1),632(a,1,1,2,1))]. given #865 (H,wt=22): 690 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(686(a,1),164(a,1,2,1)),flip(a)]. given #866 (H,wt=19): 1068 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(199,a,432,a(flip),b,690,a(flip))]. given #867 (H,wt=22): 691 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(686(a,1),165(a,1,2,1)),flip(a)]. given #868 (H,wt=19): 1069 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(199,a,433,a(flip),b,691,a(flip))]. given #869 (H,wt=22): 729 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(306(a,1),531(a,2,2))]. given #870 (H,wt=22): 736 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(212,a,541,a)]. given #871 (H,wt=22): 739 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(69,a,541,a(flip),b,101,a(flip))]. given #872 (H,wt=22): 759 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(693(a,1),155(a,2)),flip(a)]. given #873 (H,wt=22): 762 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(730(a,1),92(a,1,2))]. given #874 (H,wt=22): 763 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(94(a,1),730(a,2,1,2))]. given #875 (H,wt=22): 764 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(307(a,1),730(a,2,1,2))]. given #876 (H,wt=22): 769 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(441(a,1),737(a,2,1,2))]. given #877 (H,wt=22): 770 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(442(a,1),737(a,2,1,2))]. given #878 (H,wt=22): 771 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(443(a,1),737(a,2,1,2))]. given #879 (H,wt=22): 786 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(331,a,399,a),flip(a)]. given #880 (H,wt=22): 788 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(105(a,1),412(a,1,1,1)),flip(a)]. given #881 (H,wt=22): 816 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(60(a,1),579(a,1,1,1))]. given #882 (H,wt=22): 817 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(16(a,1),584(a,1,1,1,1))]. given #883 (H,wt=16): 1080 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(853(a,1),817(a,1))]. given #884 (H,wt=22): 818 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(105(a,1),593(a,1,1))]. given #885 (H,wt=21): 1081 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(199,a,642,a(flip),b,818,a)]. given #886 (H,wt=21): 1082 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1081(a,1),63(a,1,1))]. given #887 (H,wt=22): 821 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [hyper(581,a,624,a)]. given #888 (H,wt=22): 828 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),744(a,2,1,2))]. given #889 (H,wt=22): 829 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(159(a,1),744(a,2,1,2))]. given #890 (H,wt=22): 836 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(753(a,1),207(a,1,1)),flip(b)]. given #891 (H,wt=22): 849 (1 / x) * (x * T(x \ y,z)) != u | T((1 / x) * y,z) = u. [para(805(a,1),211(a,1,2)),flip(b)]. given #892 (H,wt=21): 1087 L(T(x \ y,z),x,1 / x) != u | T((1 / x) * y,z) = u. [para(176(a,1),849(a,1))]. given #893 (H,wt=22): 872 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(844(a,1),211(a,1,2)),flip(b)]. given #894 (H,wt=22): 876 T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. [para(851(a,1),215(a,1))]. given #895 (H,wt=22): 880 T(x * y,x \ 1) != x * z | ((x \ 1) \ y) * (x \ 1) = z. [para(869(a,1),19(a,1))]. given #896 (H,wt=22): 881 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(871(a,1),211(a,1,2)),flip(b)]. given #897 (H,wt=20): 1089 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(52(a,1),881(a,1,2,1,2))]. given #898 (H,wt=16): 1090 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(367(a,1),1089(a,1))]. given #899 (H,wt=22): 884 (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. [para(877(a,1),211(a,1,2)),flip(b)]. given #900 (H,wt=20): 1091 (1 / x) * T((1 / x) \ 1,y) != z | T(x,y) / x = z. [para(57(a,1),884(a,1,2,1,2))]. given #901 (H,wt=22): 886 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(856(a,1),248(a,1,2,2))]. given #902 (H,wt=22): 937 (T(x,y) * z) \ (x * (T(x,y) * z)) = L(T(x,z),z,T(x,y)). [para(924(a,1),161(a,1,2))]. given #903 (H,wt=16): 1092 L(T(x,y),y,T(x,z)) = T(x,T(x,z) * y). [hyper(255,a,937,a),flip(a)]. given #904 (H,wt=22): 943 T(x,T(x,y) \ 1) != z | (T(x,y) \ 1) \ (T(x,y) \ x) = z. [para(939(a,1),337(a,1,1))]. given #905 (H,wt=22): 964 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,387,a,b,928,a)]. given #906 (H,wt=22): 976 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,387,a,b,935,a)]. given #907 (H,wt=22): 993 T(x / y,z) * x != (x / y) * u | y * T(y \ x,z) = u. [para(992(a,1),19(a,1))]. given #908 (H,wt=22): 994 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(992(a,2),19(a,2))]. given #909 (H,wt=22): 1084 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(199,a,373,a(flip),b,828,a)]. given #910 (H,wt=22): 1085 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(925(a,1),829(a,1,1,1))]. given #911 (H,wt=23): 394 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(92(a,1),28(a,2,2,2)),flip(a)]. given #912 (H,wt=23): 401 (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 #913 (H,wt=23): 419 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(92(a,1),94(a,2,2))]. given #914 (H,wt=23): 428 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(101(a,1),26(a,2,1)),flip(a)]. given #915 (H,wt=23): 429 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(101(a,1),30(a,2,1,1)),flip(a)]. given #916 (H,wt=23): 453 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(101(a,1),102(a,2,1))]. given #917 (H,wt=23): 455 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(102(a,2),102(a,1,1))]. given #918 (H,wt=23): 498 (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. [para(24(a,2),328(a,1,2))]. given #919 (H,wt=23): 503 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),352(a,1))]. given #920 (H,wt=23): 563 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(68,a,229,a(flip),b,85,a)]. given #921 (H,wt=23): 572 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(355(a,2),181(a,1,2,2))]. given #922 (H,wt=23): 577 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(199,a,228,a(flip),b,366,a(flip)),flip(a)]. given #923 (H,wt=23): 629 R(x,y,y \ z) * z != u * w | u \ ((x * y) * (y \ z)) = w. [para(271(a,2),492(a,1))]. given #924 (H,wt=23): 673 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(548(a,1),501(a,1,1))]. given #925 (H,wt=23): 707 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(44(a,1),212(a,1,1))]. given #926 (H,wt=23): 708 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(46(a,1),212(a,1,1))]. given #927 (H,wt=23): 711 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),218(a,1,2))]. given #928 (H,wt=23): 723 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(172(a,2),427(a,2,2))]. given #929 (H,wt=23): 752 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(106(a,1),582(a,1,2,1,2))]. given #930 (H,wt=23): 755 T(x,y) * T(y,x * y) != z | L(y,T(x,y),y) * T(x,y) = z. [para(105(a,1),616(a,1,2,2))]. given #931 (H,wt=23): 774 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(309(a,2),92(a,1,2))]. given #932 (H,wt=23): 778 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(310(a,1),92(a,1,2))]. given #933 (H,wt=23): 780 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(14(a,1),777(a,1,1,1))]. given #934 (H,wt=23): 783 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(94(a,1),396(a,1,2,1))]. given #935 (H,wt=23): 784 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(198(a,1),396(a,1,2,1))]. given #936 (H,wt=23): 791 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(102(a,1),431(a,1,1,1))]. given #937 (H,wt=19): 1101 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(584,a,791,a),flip(a)]. given #938 (H,wt=15): 1103 (x * T(y,z)) * y = (x * y) * T(y,z). [para(366(a,1),1101(a,1,1))]. given #939 (H,wt=13): 1104 (1 / T(x,y)) * x = x / T(x,y). [hyper(490,a,1103,a),flip(a)]. given #940 (H,wt=13): 1110 x * T(y,x * y) = T(x * y,y). [hyper(18,a,192,a,b,1103,a)]. given #941 (H,wt=13): 1114 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(73,a,1104,a)]. given #942 (H,wt=15): 1105 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(487,a,1103,a)]. given #943 (H,wt=15): 1106 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(268,a,1103,a),flip(a)]. given #944 (H,wt=13): 1121 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(320,a,1106,a),flip(a)]. given #945 (H,wt=15): 1107 (x * T(y,x * y)) * y = y * (x * y). [hyper(199,a,105,a(flip),b,1103,a)]. given #946 (H,wt=15): 1108 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(199,a,81,a(flip),b,1103,a)]. given #947 (H,wt=13): 1126 (x / y) * T(y,x) = (y * x) / y. [hyper(69,a,105,a(flip),b,1108,a),flip(a)]. given #948 (H,wt=11): 1130 T(x / y,T(y,x)) = y \ x. [hyper(154,a,1126,a,b,946,a)]. given #949 (H,wt=11): 1132 T(x,y) / T(y,x) = x / y. [hyper(69,a,185,a,b,1126,a)]. given #950 (H,wt=13): 1137 T(x,T(y,x * y)) = y \ (x * y). [para(15(a,1),1130(a,1,1))]. given #951 (H,wt=11): 1140 T(x,T(y,x * y)) = T(x,y). [hyper(199,a,32,a,b,1137,a)]. given #952 (H,wt=13): 1138 T(x / y,(x * y) / x) = y \ x. [para(185(a,1),1130(a,1,2))]. given #953 (H,wt=13): 1139 T(x \ y,T(x,y)) = T(x \ y,x). [para(1130(a,1),167(a,1,1)),flip(a)]. given #954 (H,wt=15): 1109 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(73,a,1103,a)]. given #955 (H,wt=15): 1127 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(69,a,16,a(flip),b,1108,a),flip(a)]. given #956 (H,wt=16): 1115 T(x * y,y) != x * z | T(y,x * y) = z. [para(1110(a,1),19(a,1))]. given #957 (H,wt=16): 1117 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1114(a,1),211(a,1,2)),flip(b)]. given #958 (H,wt=16): 1144 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1109(a,1),915(a,1,1)),flip(a)]. given #959 (H,wt=17): 1118 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1114(a,1),877(a,2,1))]. given #960 (H,wt=17): 1124 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(988(a,2),1106(a,1,1))]. given #961 (H,wt=17): 1129 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(521,a,1126,a),flip(a)]. given #962 (H,wt=13): 1148 x * T(x \ y,y) = T(y,x \ y). [hyper(266,a,1129,a),flip(a)]. given #963 (H,wt=11): 1151 T(x,y * T(y \ x,x)) = x. [para(1148(a,2),178(a,1,2))]. given #964 (H,wt=13): 1150 T(x,y \ x) / y = T(x / y,x). [hyper(69,a,1148,a(flip),b,365,a)]. given #965 (H,wt=13): 1154 T(x,x * (y * T(y \ 1,x))) = x. [para(631(a,1),1151(a,1,2))]. given #966 (H,wt=13): 1156 T(T(x,y \ x) / y,x) = x / y. [para(1150(a,2),47(a,1,1))]. given #967 (H,wt=15): 1152 x * ((y * (x \ y)) / y) = T(y,x \ y). [para(185(a,1),1148(a,1,2))]. given #968 (H,wt=11): 1157 T(x,x / y) = T(x,y \ x). [hyper(199,a,971,a(flip),b,1152,a(flip)),flip(a)]. given #969 (H,wt=11): 1159 T(x,(y \ x) \ x) = T(x,y). [para(60(a,1),1157(a,1,2)),flip(a)]. given #970 (H,wt=11): 1160 T(x,x / (x / y)) = T(x,y). [para(63(a,1),1157(a,2,2))]. given #971 (H,wt=11): 1161 T(x,T(y,y \ x)) = T(x,y). [para(106(a,2),1159(a,1,2))]. given #972 (H,wt=13): 1162 (x / y) \ T(x,y) = (x * y) / x. [hyper(68,a,1160,a(flip),b,973,a)]. given #973 (H,wt=13): 1163 T(x * y,T(x,y)) = T(x * y,x). [para(13(a,1),1161(a,1,2,2))]. given #974 (H,wt=15): 1155 T(x,y \ x) / y = (x * (x / y)) / x. [hyper(199,a,185,a(flip),b,1150,a)]. given #975 (H,wt=15): 1158 T(x * y,(x * y) / x) = T(x * y,y). [para(13(a,1),1157(a,2,2))]. given #976 (H,wt=13): 1165 T(x * y,T(y,x)) = T(x * y,y). [para(185(a,2),1158(a,1,2))]. given #977 (H,wt=17): 1131 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(154,a,1126,a,b,14,a),flip(a)]. given #978 (H,wt=17): 1133 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(69,a,1126,a(flip),b,105,a)]. given #979 (H,wt=17): 1141 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(1139(a,1),105(a,1,2))]. given #980 (H,wt=17): 1143 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(1139(a,2),361(a,1,2,2))]. given #981 (H,wt=17): 1153 (1 / x) * T(y,x \ y) = T((1 / x) * y,y). [para(1148(a,1),803(a,1,2))]. given #982 (H,wt=13): 1166 T(x,(1 / y) * x) = T(x,y \ x). [hyper(17,a,1110,a,b,1153,a),flip(a)]. given #983 (H,wt=13): 1168 T(x,(y \ 1) \ x) = T(x,y * x). [para(60(a,1),1166(a,1,2,1)),flip(a)]. given #984 (H,wt=17): 1164 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),1162(a,1,1)),flip(a)]. given #985 (H,wt=16): 1169 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(1164(a,1),685(a,1,1))]. given #986 (H,wt=18): 1111 (x * y) * T(y,z) != u * y | x * T(y,z) = u. [para(1103(a,1),20(a,1))]. given #987 (H,wt=18): 1112 (x * T(y,z)) * y != u * T(y,z) | x * y = u. [para(1103(a,2),20(a,1))]. given #988 (H,wt=18): 1122 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1106(a,1),20(a,1)),flip(a)]. given #989 (H,wt=18): 1123 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1106(a,1),262(a,1,1)),flip(b)]. given #990 (H,wt=18): 1125 x * (y * x) != z * x | y * T(x,y * x) = z. [para(1107(a,1),20(a,1))]. given #991 (H,wt=18): 1128 x * T(y,z) != u * y | (x / y) * T(y,z) = u. [para(1108(a,1),20(a,1))]. given #992 (H,wt=19): 1119 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1114(a,1),883(a,1,1)),flip(a)]. given #993 (H,wt=19): 1145 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(612(a,1),1144(a,1,1,2))]. given #994 (H,wt=19): 1147 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1124(a,1),935(a,1,2)),flip(a)]. given #995 (H,wt=19): 1171 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(79,a,1147,a),flip(a)]. given #996 (H,wt=17): 1172 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(199,a,988,a(flip),b,1171,a(flip))]. given #997 (H,wt=20): 1120 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1105(a,2),155(a,2)),flip(a)]. given #998 (H,wt=20): 1134 (x * y) / x != T(x,y) * z | T(y / x,T(x,y)) = z. [para(1126(a,1),155(a,2)),flip(a)]. given #999 (H,wt=20): 1142 T(x,y) * T(x \ y,x) != z | (x \ y) * T(x,y) = z. [para(1139(a,1),215(a,1,2))]. given #1000 (H,wt=20): 1149 x * T(x \ y,y) != z * u | T(y,x \ y) / u = z. [para(1129(a,1),472(a,1))]. given #1001 (H,wt=20): 1173 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(199,a,441,a,b,1172,a(flip)),flip(a)]. given #1002 (H,wt=21): 1113 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(107(a,1),1103(a,1,1,2)),flip(a)]. given #1003 (H,wt=19): 1174 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(107(a,1),1113(a,1,2))]. given #1004 (H,wt=15): 1178 (x * (y / x)) * (x \ y) = y * (y / x). [hyper(199,a,82,a(flip),b,1174,a)]. given #1005 (H,wt=17): 1176 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(490,a,1174,a),flip(a)]. given #1006 (H,wt=15): 1181 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(199,a,1041,a(flip),b,1176,a(flip))]. given #1007 (H,wt=19): 1177 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(487,a,1174,a)]. given #1008 (H,wt=19): 1179 ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). [para(63(a,1),1178(a,1,2))]. given #1009 (H,wt=15): 1184 ((x \ y) * x) * x = y * (y / (y / x)). [para(714(a,1),1179(a,1,1))]. given #1010 (H,wt=19): 1183 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(199,a,358,a(flip),b,1177,a(flip))]. given #1011 (H,wt=21): 1146 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(1118(a,1),875(a,1,2,1))]. given #1012 (H,wt=21): 1180 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(154,a,1176,a,b,14,a),flip(a)]. given #1013 (H,wt=21): 1185 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(181(a,1),1146(a,1,1)),flip(a)]. given #1014 (H,wt=21): 1186 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1180(a,1),1050(a,1,1))]. given #1015 (H,wt=21): 1187 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(199,a,163,a(flip),b,1185,a)]. given #1016 (H,wt=19): 1188 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(199,a,847,a(flip),b,1187,a)]. given #1017 (H,wt=22): 1170 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(1169(a,1),87(a,1,1))]. given #1018 (H,wt=23): 831 (x * y) * T(L(x,z,u),x * y) = x * (y * T(L(x,z,u),y)). [para(830(a,1),396(a,1,2))]. given #1019 (H,wt=19): 1189 x * (y * T(L(x,z,u),y)) = L(x,z,u) * (x * y). [hyper(215,a,831,a),flip(a)]. given #1020 (H,wt=17): 1190 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(105(a,1),1189(a,1,2)),flip(a)]. given #1021 (H,wt=15): 1196 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(68,a,55,a(flip),b,1190,a),flip(a)]. given #1022 (H,wt=15): 1199 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(73,a,1196,a)]. given #1023 (H,wt=17): 1191 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(499,a,1190,a)]. given #1024 (H,wt=17): 1192 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(497,a,1190,a),flip(a)]. given #1025 (H,wt=17): 1193 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(270,a,1190,a),flip(a)]. given #1026 (H,wt=17): 1194 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(73,a,1190,a)]. given #1027 (H,wt=17): 1195 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(68,a,80,a(flip),b,1190,a)]. given #1028 (H,wt=19): 1202 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(68,a,32,a,b,1192,a),flip(a)]. given #1029 (H,wt=22): 1201 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1196(a,1),176(a,1,2)),flip(a)]. given #1030 (H,wt=23): 833 (x * (y * z)) \ ((x * T(z,y)) * y) != u | a(x,T(z,y),y) = u. [para(166(a,1),597(a,1,1,2))]. given #1031 (H,wt=23): 837 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(63(a,1),754(a,1,2,2,1,2))]. given #1032 (H,wt=23): 874 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(848(a,1),361(a,1,2))]. given #1033 (H,wt=23): 878 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(199,a,799,a(flip),b,867,a)]. given #1034 (H,wt=23): 894 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(463(a,2),19(a,1))]. given #1035 (H,wt=23): 898 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(468(a,2),20(a,1))]. given #1036 (H,wt=23): 906 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(649(a,1),387(a,1,2)),flip(a)]. given #1037 (H,wt=21): 1209 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(68,a,105,a(flip),b,906,a),flip(a)]. given #1038 (H,wt=19): 1211 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(12(a,1),1209(a,2,2,1,2))]. given #1039 (H,wt=19): 1212 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(199,a,360,a,b,1211,a),flip(a)]. given #1040 (H,wt=19): 1213 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(68,a,360,a,b,1211,a),flip(a)]. given #1041 (H,wt=20): 1215 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(145(a,2),1213(a,1,1,1))]. given #1042 (H,wt=21): 1210 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),906(a,2,2,1,2))]. given #1043 (H,wt=19): 1220 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1047(a,2),1210(a,1,2)),flip(a)]. given #1044 (H,wt=19): 1223 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(492,a,1220,a),flip(a)]. given #1045 (H,wt=21): 1217 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1215(a,2),348(a,1,2)),flip(a)]. given #1046 (H,wt=21): 1218 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(73,a,1210,a),flip(a)]. given #1047 (H,wt=15): 1228 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1218(a,1),1154(a,1,2,2))]. given #1048 (H,wt=19): 1229 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(982(a,1),1228(a,1,2,2,2,2))]. given #1049 (H,wt=11): 1230 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),1229(a,1,2,2,2))]. given #1050 (H,wt=18): 1231 T(T(x,y),x * (T(x,z) \ x)) != u | T(x,y) = u. [para(1230(a,1),339(a,1,1,1))]. given #1051 (H,wt=21): 1219 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(242(a,1),1210(a,1,2)),flip(a)]. given #1052 (H,wt=21): 1224 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1220(a,1,2,1)),flip(a)]. given #1053 (H,wt=21): 1227 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(63(a,1),1223(a,2,2,2,1))]. given #1054 (H,wt=19): 1233 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1126(a,1),1227(a,2,2))]. given #1055 (H,wt=22): 1214 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(1213(a,2),211(a,1,2)),flip(b)]. given #1056 (H,wt=18): 1234 (x * y) \ ((x \ (x * y)) * x) != z | K(y,x) = z. [para(1211(a,1),1214(a,1))]. given #1057 (H,wt=23): 907 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(658(a,1),426(a,1,1)),flip(a)]. given #1058 (H,wt=21): 1236 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(11(a,1),907(a,2,1,1,1))]. given #1059 (H,wt=21): 1237 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(199,a,365,a(flip),b,1236,a)]. given #1060 (H,wt=21): 1238 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(365(a,1),1237(a,1,1))]. given #1061 (H,wt=21): 1239 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(79,a,1238,a),flip(a)]. given #1062 (H,wt=19): 1241 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(1053,a,1239,a)]. given #1063 (H,wt=21): 1240 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(242(a,1),1238(a,1,1))]. given #1064 (H,wt=23): 916 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(890(a,1),19(a,1)),flip(a)]. given #1065 (H,wt=23): 945 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(940(a,1),804(a,1,2,1)),flip(a)]. given #1066 (H,wt=23): 950 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(86(a,1),946(a,1,2))]. given #1067 (H,wt=23): 963 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(154,a,928,a,b,14,a)]. given #1068 (H,wt=15): 1246 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(1231,a,963,a),flip(a)]. given #1069 (H,wt=15): 1247 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1246(a,1),60(a,1,2))]. given #1070 (H,wt=13): 1249 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1120,a,1247,a)]. given #1071 (H,wt=15): 1248 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1123,a,1247,a)]. given #1072 (H,wt=21): 1251 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1249(a,1),365(a,1,1)),flip(a)]. given #1073 (H,wt=23): 989 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(107(a,1),980(a,1,1)),flip(a)]. given #1074 (H,wt=21): 1252 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(107(a,1),989(a,1,2)),flip(a)]. given #1075 (H,wt=23): 1006 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1003(a,1),842(a,1,2,1,2))]. given #1076 (H,wt=19): 1254 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(14(a,1),1006(a,1,2,1)),flip(a)]. given #1077 (H,wt=19): 1256 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(40(a,2),1254(a,2,2))]. given #1078 (H,wt=19): 1257 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(40(a,2),1256(a,1,1))]. given #1079 (H,wt=23): 1017 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1012(a,1),155(a,2)),flip(a)]. given #1080 (H,wt=23): 1024 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(149(a,1),936(a,1,2,1)),flip(a)]. given #1081 (H,wt=19): 1258 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),1024(a,1,1)),flip(a)]. given #1082 (H,wt=17): 1259 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(326,a,1258,a),flip(a)]. given #1083 (H,wt=17): 1262 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(68,a,55,a(flip),b,1258,a),flip(a)]. given #1084 (H,wt=19): 1260 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(270,a,1258,a),flip(a)]. given #1085 (H,wt=19): 1261 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(68,a,80,a(flip),b,1258,a)]. given #1086 (H,wt=21): 1263 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(199,a,752,a,b,1259,a(flip)),flip(a)]. given #1087 (H,wt=22): 1266 x \ (((y * x) / y) * z) != u | ((y * x) / y) * (x \ z) = u. [para(1260(a,1),254(a,1,2)),flip(b)]. given #1088 (H,wt=23): 1044 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(845(a,1),1031(a,1,1))]. given #1089 (H,wt=23): 1063 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(313(a,1),628(a,1,1,1))]. given #1090 (H,wt=23): 1065 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(68,a,650,a(flip),b,173,a),flip(a)]. given #1091 (H,wt=19): 1269 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(111(a,1),1065(a,2,2,1))]. given #1092 (H,wt=15): 1270 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(199,a,542,a(flip),b,1269,a(flip)),flip(a)]. given #1093 (H,wt=15): 1271 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(69,a,1269,a(flip),b,542,a(flip))]. given #1094 (H,wt=15): 1272 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(68,a,1269,a(flip),b,542,a(flip))]. given #1095 (H,wt=19): 1273 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(69,a,1270,a(flip),b,165,a)]. given #1096 (H,wt=19): 1274 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [para(63(a,1),1270(a,1,2)),flip(a)]. given #1097 (H,wt=19): 1280 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(199,a,539,a(flip),b,1274,a)]. given #1098 (H,wt=19): 1282 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(604,a,1280,a),flip(a)]. given #1099 (H,wt=19): 1283 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(1280(a,1),14(a,1,2))]. given #1100 (H,wt=18): 1286 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(552(a,2),1283(a,1,2))]. given #1101 (H,wt=17): 1287 (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. [hyper(69,a,146,a(flip),b,1286,a)]. given #1102 (H,wt=21): 1268 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(51(a,1),1065(a,2,2,1))]. given #1103 (H,wt=22): 1278 R(x,y,z) * (x \ 1) != u * w | (x \ R(x,y,z)) / w = u. [para(1271(a,1),323(a,1,1))]. given #1104 (H,wt=22): 1281 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1274(a,2),750(a,1))]. given #1105 (H,wt=22): 1285 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1280(a,1),604(a,1))]. given #1106 (H,wt=23): 1078 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(69,a,770,a(flip),b,177,a),flip(a)]. given #1107 (H,wt=17): 1291 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(199,a,959,a(flip),b,1078,a(flip))]. given #1108 (H,wt=18): 1293 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1291(a,1),1173(a,1,1))]. given #1109 (H,wt=21): 1292 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(11(a,1),1078(a,2,1,1,2))]. given #1110 (H,wt=21): 1294 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(836,a,1292,a)]. given #1111 (H,wt=17): 1295 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(63(a,1),1294(a,1,2,1,2))]. given #1112 (H,wt=21): 1296 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(521,a,1295,a),flip(a)]. given #1113 (H,wt=23): 1102 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(579,a,791,a)]. given #1114 (H,wt=23): 1167 T((1 / x) * (y * x),y * x) = (1 / x) * T(y * x,T(y,x)). [para(32(a,2),1153(a,1,2,2)),flip(a)]. given #1115 (H,wt=21): 1298 T((1 / x) * (y * x),y * x) = (1 / x) * T(y * x,y). [para(1163(a,1),1167(a,2,2))]. given #1116 (H,wt=23): 1175 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(149(a,1),1113(a,1,2)),flip(a)]. given #1117 (H,wt=19): 1299 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1175(a,1,1,2)),flip(a)]. given #1118 (H,wt=17): 1300 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(490,a,1299,a),flip(a)]. given #1119 (H,wt=19): 1301 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(487,a,1299,a)]. given #1120 (H,wt=23): 1208 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(73,a,906,a)]. given #1121 (H,wt=23): 1221 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [hyper(884,a,1220,a),flip(a)]. given #1122 (H,wt=23): 1222 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(881,a,1220,a),flip(a)]. given #1123 (H,wt=23): 1235 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(69,a,365,a(flip),b,907,a)]. given #1124 (H,wt=23): 1267 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(741,a,1063,a),flip(a)]. given #1125 (H,wt=23): 1297 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(365(a,1),1102(a,2,1))]. given #1126 (H,wt=21): 1307 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(154,a,1297,a(flip),b,784,a(flip)),flip(a)]. given #1127 (H,wt=19): 1310 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1307(a,1,2,1,2)),flip(a)]. given #1128 (H,wt=17): 1311 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(199,a,105,a(flip),b,1310,a)]. given #1129 (H,wt=15): 1313 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(105(a,1),1311(a,1,1))]. given #1130 (H,wt=15): 1314 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(69,a,1313,a,b,xx)]. given #1131 (H,wt=15): 1317 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1313(a,2),59(a,1,2,1))]. given #1132 (H,wt=15): 1318 T(x * y,y) / y = y \ T(y * x,y). [para(13(a,1),1314(a,1,1,1,1))]. given #1133 (H,wt=15): 1319 x \ T(x * (y / x),x) = T(y,x) / x. [para(64(a,1),1314(a,1,1,1)),flip(a)]. given #1134 (H,wt=15): 1324 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),1317(a,1,2,1,1,1))]. given #1135 (H,wt=15): 1325 T(x * (y / x),x) = x * (T(y,x) / x). [para(64(a,1),1317(a,1,2,1,1)),flip(a)]. given #1136 (H,wt=18): 1316 T((x \ y) * x,x) != z * x | x \ T(y,x) = z. [para(1313(a,2),20(a,1))]. given #1137 (H,wt=18): 1320 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1314(a,1),207(a,1,1)),flip(b)]. given #1138 (H,wt=18): 1321 x * (T((x \ y) * x,x) / x) != z | T(y,x) = z. [para(1314(a,2),211(a,1,2)),flip(b)]. given #1139 (H,wt=19): 1312 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(68,a,1310,a,b,xx)]. given #1140 (H,wt=19): 1315 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(68,a,1313,a,b,221,a)]. given #1141 (H,wt=19): 1328 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(850(a,1),1324(a,1,2)),flip(a)]. given #1142 (H,wt=19): 1330 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1312(a,1,2,1,2,1))]. given #1143 (H,wt=19): 1333 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1319(a,1),1330(a,2,1))]. given #1144 (H,wt=19): 1334 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1333(a,1),14(a,1,2)),flip(a)]. given #1145 (H,wt=17): 1335 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(131(a,1),1334(a,2,2,1,1))]. given #1146 (H,wt=20): 1337 T(x * T(1 / x,y),x) != z | x * T(1 / x,y) = z. [para(1335(a,1),338(a,1,1)),flip(b)]. given #1147 (H,wt=21): 1308 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),1297(a,1,2,1,2))]. given #1148 (H,wt=11): 1339 T(x,x * T(x \ 1,y)) = x. [hyper(154,a,631,a(flip),b,1308,a(flip))]. given #1149 (H,wt=9): 1340 T(x,(x \ 1) * x) = x. [para(105(a,1),1339(a,1,2))]. given #1150 (H,wt=9): 1341 T(x,K(x \ 1,x)) = x. [para(242(a,1),1339(a,1,2))]. given #1151 (H,wt=12): 1346 R(x,x \ 1,x) = T(x,x \ 1). [para(1340(a,1),688(a,1,1))]. given #1152 (H,wt=13): 1344 T(x \ 1,x \ T(x,y)) = x \ 1. [para(845(a,1),1339(a,1,2))]. given #1153 (H,wt=13): 1345 T(1 / x,T(x,y) / x) = 1 / x. [para(854(a,1),1339(a,1,2))]. given #1154 (H,wt=13): 1348 T(x,x \ 1) \ x = (x \ 1) * x. [para(1346(a,1),350(a,1,1))]. given #1155 (H,wt=13): 1352 ((x \ 1) \ 1) \ x = (x \ 1) * x. [hyper(199,a,556,a(flip),b,1348,a(flip)),flip(a)]. given #1156 (H,wt=13): 1353 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(154,a,1348,a(flip),b,932,a),flip(a)]. given #1157 (H,wt=13): 1355 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(199,a,172,a,b,1352,a)]. given #1158 (H,wt=13): 1357 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1355(a,1),14(a,1,2))]. given #1159 (H,wt=13): 1358 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(524,a,1357,a)]. given #1160 (H,wt=15): 1343 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(367(a,1),1339(a,1,2))]. given #1161 (H,wt=15): 1347 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1341(a,1),105(a,1,2))]. given #1162 (H,wt=15): 1349 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1344,a)]. given #1163 (H,wt=16): 1356 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1352(a,2),275(a,1))]. given #1164 (H,wt=18): 1354 T(x,x \ 1) \ x != x * y | T(x \ 1,x) = y. [para(1348(a,2),155(a,2)),flip(a)]. given #1165 (H,wt=18): 1359 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1343(a,1),688(a,1,1))]. given #1166 (H,wt=18): 1360 (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). [para(1347(a,1),246(a,1,1))]. given #1167 (H,wt=19): 1350 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1344(a,1),105(a,1,2))]. given #1168 (H,wt=20): 1361 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1349(a,1),653(a,1,1)),flip(a)]. given #1169 (H,wt=15): 1362 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(199,a,652,a,b,1361,a),flip(a)]. given #1170 (H,wt=11): 1363 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1362(a,2,1)),flip(a)]. given #1171 (H,wt=11): 1364 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1363,a)]. given #1172 (H,wt=14): 1368 T(K(x,y),x \ 1) != z | K(x,y) = z. [para(1363(a,1),338(a,1,1)),flip(b)]. given #1173 (H,wt=15): 1365 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1363(a,1),105(a,1,2)),flip(a)]. given #1174 (H,wt=18): 1366 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1363(a,1),215(a,1,2))]. given #1175 (H,wt=18): 1367 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1363(a,1),217(a,1,1))]. given #1176 (H,wt=21): 1332 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(13(a,1),1315(a,1,2,1,1))]. given #1177 (H,wt=21): 1338 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(199,a,784,a(flip),b,1308,a(flip)),flip(a)]. given #1178 (H,wt=19): 1370 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(105(a,1),1338(a,1,2)),flip(a)]. given #1179 (H,wt=19): 1372 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(79,a,1370,a)]. given #1180 (H,wt=21): 1351 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1345(a,1),373(a,1,1,2)),flip(a)]. given #1181 (H,wt=21): 1369 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1364(a,1),367(a,1,2)),flip(a)]. given #1182 (H,wt=13): 1375 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(199,a,14,a(flip),b,1369,a)]. given #1183 (H,wt=9): 1377 T(x,K(x \ 1,y)) = x. [hyper(78,a,1375,a)]. given #1184 (H,wt=11): 1378 T(1 / x,K(x,y)) = 1 / x. [para(63(a,1),1377(a,1,2,1))]. given #1185 (H,wt=18): 1380 x * K(x \ 1,y) != z | K(x \ 1,y) * x = z. [para(1377(a,1),217(a,1,1))]. given #1186 (H,wt=21): 1371 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(216,a,1370,a)]. given #1187 (H,wt=22): 1322 (x \ T(y,x)) * x != z * u | T((x \ y) * x,x) / u = z. [para(1314(a,1),323(a,1,1))]. given #1188 (H,wt=22): 1323 (x \ T(y,x)) * x != z * u | z \ T((x \ y) * x,x) = u. [para(1314(a,1),327(a,1,1))]. given #1189 (H,wt=22): 1336 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1334(a,2),254(a,1,2)),flip(b)]. given #1190 (H,wt=22): 1381 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1378(a,1),658(a,1,1)),flip(a)]. given #1191 (H,wt=15): 1382 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(199,a,314,a(flip),b,1381,a)]. given #1192 (H,wt=13): 1383 T(x / y,K(y / x,z)) = x / y. [para(11(a,1),1382(a,1,1,1))]. given #1193 (H,wt=15): 1384 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1383(a,1),167(a,1,1)),flip(a)]. given #1194 (H,wt=13): 1385 T(x \ y,K(x / y,z)) = x \ y. [hyper(199,a,107,a(flip),b,1384,a)]. given #1195 (H,wt=23): 1302 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1208(a,1,2,2,1,2)),flip(a)]. given #1196 (H,wt=23): 1303 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(199,a,365,a(flip),b,1235,a)]. given #1197 (H,wt=21): 1387 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(105(a,1),1303(a,1,1)),flip(a)]. given #1198 (H,wt=23): 1304 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(531(a,1),1267(a,1,1))]. given #1199 (H,wt=23): 1305 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(199,a,784,a(flip),b,1297,a(flip)),flip(a)]. given #1200 (H,wt=23): 1326 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(366(a,1),1318(a,1,1,1)),flip(a)]. given #1201 (H,wt=19): 1394 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1336,a,1326,a),flip(a)]. given #1202 (H,wt=23): 1392 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1305(a,1,2,2,1,2,2)),flip(a)]. given #1203 (H,wt=21): 1395 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(105(a,1),1392(a,1,1)),flip(a)]. given #1204 (H,wt=19): 1400 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(52(a,1),1395(a,1,2,2,1,2)),flip(a)]. given #1205 (H,wt=21): 1399 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(199,a,784,a,b,1395,a(flip)),flip(a)]. given #1206 (H,wt=21): 1403 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1043(a,2),1395(a,1,2)),flip(a)]. given #1207 (H,wt=19): 1405 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(57(a,1),1403(a,1,1,1,2)),flip(a)]. given #1208 (H,wt=19): 1407 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(172(a,2),1405(a,2,1))]. given #1209 (H,wt=19): 1408 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1407(a,1,2,2)),flip(a)]. given #1210 (H,wt=21): 1409 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(32(a,2),1407(a,1,2,2))]. given #1211 (H,wt=22): 1410 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1408(a,1),19(a,1)),flip(a)]. given #1212 (H,wt=22): 1411 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1408(a,1),270(a,1))]. given #1213 (H,wt=23): 1398 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(997(a,2),1392(a,1,1))]. given #1214 (H,wt=21): 1413 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(52(a,1),1398(a,2,2,2,1,2))]. given #1215 (H,wt=19): 1415 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(242(a,1),1413(a,2,2))]. given #1216 (H,wt=19): 1416 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(15(a,1),1415(a,1,1,1))]. given #1217 (H,wt=19): 1418 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(268,a,1416,a),flip(a)]. given #1218 (H,wt=20): 1420 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(723,a,1418,a(flip)),flip(a)]. given #1219 (H,wt=20): 1421 (x * (y \ 1)) / K(y \ 1,y) = R(x,y \ 1,y) / y. [hyper(79,a,1420,a),flip(a)]. given #1220 (H,wt=20): 1422 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [para(1421(a,1),16(a,1,1))]. given #1221 (H,wt=22): 1419 (x * K(y \ 1,y)) * y != z * K(y \ 1,y) | x * y = z. [para(1416(a,2),20(a,1))]. given #1222 (H,wt=23): 1423 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1422(a,1),262(a,1,1)),flip(b)]. given #1223 (H,wt=24): 460 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(221(a,1),126(a,1,2,1))]. given #1224 (H,wt=24): 461 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(92(a,1),126(a,1,2,1))]. given #1225 (H,wt=24): 712 (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. [para(308(a,2),218(a,1,2))]. given #1226 (H,wt=24): 713 (x \ y) * L((x \ y) \ y,z,u) != w | L(x,z,u) * (x \ y) = w. [para(232(a,1),215(a,1,2))]. given #1227 (H,wt=24): 732 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(539(a,1),329(a,1,1))]. given #1228 (H,wt=21): 1424 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(69,a,518,a(flip),b,732,a)]. given #1229 (H,wt=21): 1425 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),1424(a,1,1,1)),flip(a)]. given #1230 (H,wt=24): 746 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(409(a,1),545(a,1,1,2))]. given #1231 (H,wt=24): 765 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(409(a,1),730(a,2,1,2))]. given #1232 (H,wt=24): 768 R((x * y) / x,z,u) * x != w * v5 | (x * R(y,z,u)) / v5 = w. [para(737(a,2),323(a,1,1))]. given #1233 (H,wt=24): 782 (x \ y) * R((x \ y) \ y,z,u) != w | R(x,z,u) * (x \ y) = w. [para(106(a,1),332(a,1,2,1))]. given #1234 (H,wt=24): 790 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(413(a,1),44(a,1,1)),flip(a)]. given #1235 (H,wt=24): 912 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(368(a,1),761(a,1,1,1))]. given #1236 (H,wt=24): 1002 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(198(a,1),895(a,1,2)),flip(a)]. given #1237 (H,wt=24): 1009 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(306(a,1),1008(a,1,2)),flip(a)]. given #1238 (H,wt=17): 1427 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(306(a,1),1009(a,1,1)),flip(a)]. given #1239 (H,wt=17): 1429 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1427(a,1),14(a,1,2))]. given #1240 (H,wt=21): 1428 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(13(a,1),1427(a,1,2)),flip(a)]. given #1241 (H,wt=17): 1432 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(13(a,1),1428(a,1,1)),flip(a)]. given #1242 (H,wt=17): 1433 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1432(a,1),14(a,1,2))]. given #1243 (H,wt=24): 1040 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(14(a,1),1036(a,1,1,2,1))]. given #1244 (H,wt=17): 1434 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(306(a,1),1040(a,1,2))]. given #1245 (H,wt=17): 1435 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1434(a,1),60(a,1,2))]. given #1246 (H,wt=24): 1042 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1031(a,1),262(a,1,1)),flip(b)]. given #1247 (H,wt=24): 1083 (L(x,y \ z,y) * z) \ (x * z) != u | a(y,y \ z,T(x,z)) = u. [para(1081(a,1),253(a,1,1)),flip(b)]. given #1248 (H,wt=24): 1182 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1176(a,1),155(a,2)),flip(a)]. given #1249 (H,wt=24): 1198 L(x,y,z) * (x * u) != w * v5 | w \ (x * (L(x,y,z) * u)) = v5. [para(1190(a,2),492(a,1))]. given #1250 (H,wt=24): 1200 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1196(a,1),26(a,2,1)),flip(a)]. given #1251 (H,wt=24): 1205 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1194(a,1),1084(a,1,1,1)),flip(a)]. given #1252 (H,wt=20): 1436 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1205(a,2,1))]. given #1253 (H,wt=20): 1437 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1436(a,1),366(a,1,1)),flip(a)]. given #1254 (H,wt=18): 1438 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,164,a,b,1437,a),flip(a)]. given #1255 (H,wt=24): 1275 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1270(a,1),85(a,1,1))]. given #1256 (H,wt=24): 1284 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [para(314(a,1),1280(a,1,2)),flip(a)]. given #1257 (H,wt=17): 1439 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(199,a,677,a(flip),b,1284,a(flip))]. given #1258 (H,wt=21): 1440 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(60(a,1),1439(a,1,2)),flip(a)]. given #1259 (H,wt=17): 1441 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(521,a,1440,a),flip(a)]. given #1260 (H,wt=17): 1443 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1441(a,1),14(a,1,2))]. given #1261 (H,wt=24): 1342 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1339(a,1),692(a,1,1))]. given #1262 (H,wt=20): 1446 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(368(a,1),1342(a,1,2)),flip(a)]. given #1263 (H,wt=16): 1447 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(368(a,1),1446(a,1,2)),flip(a)]. given #1264 (H,wt=22): 1448 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1447(a,1),46(a,1,1)),flip(a)]. given #1265 (H,wt=24): 1374 T((x * (1 / y)) / x,T(y,z) / y) != u | (x * (1 / y)) / x = u. [para(1351(a,1),338(a,1,1)),flip(b)]. given #1266 (H,wt=25): 660 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(146(a,2),446(a,1,1,2))]. given #1267 (H,wt=25): 661 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(146(a,2),446(a,1,2))]. given #1268 (H,wt=25): 674 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(550(a,1),271(a,1,1)),flip(a)]. given #1269 (H,wt=21): 1449 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(14(a,1),674(a,2,1,1,2))]. given #1270 (H,wt=21): 1450 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(199,a,365,a(flip),b,1449,a)]. given #1271 (H,wt=21): 1451 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(15(a,1),1450(a,1,1,1,2))]. given #1272 (H,wt=25): 715 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(85(a,1),391(a,1,1)),flip(a)]. given #1273 (H,wt=25): 772 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(737(a,1),212(a,1,1))]. given #1274 (H,wt=25): 773 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(174(a,1),424(a,1,1))]. given #1275 (H,wt=25): 812 (x * y) * R(T(z,x * y),x,y) != u * w | u \ ((z * x) * y) = w. [para(535(a,2),492(a,1))]. given #1276 (H,wt=25): 815 (x / y) * R((x / y) \ 1,x / y,y) != z | (y / x) * (x / y) = z. [para(549(a,2),215(a,1,2))]. given #1277 (H,wt=25): 819 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(69,a,594,a(flip),b,105,a)]. given #1278 (H,wt=25): 870 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),843(a,1,2,1))]. given #1279 (H,wt=25): 887 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(198(a,1),397(a,1,2,1))]. given #1280 (H,wt=25): 889 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(198(a,1),398(a,1,2,1))]. given #1281 (H,wt=25): 891 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(102(a,1),432(a,1,1,1))]. given #1282 (H,wt=21): 1453 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(761,a,891,a),flip(a)]. given #1283 (H,wt=17): 1455 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(532(a,1),1453(a,1,1))]. given #1284 (H,wt=15): 1457 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(490,a,1455,a),flip(a)]. given #1285 (H,wt=15): 1459 ((1 / L(x,y,z)) * x) * L(x,y,z) = x. [hyper(135,a,1455,a),flip(a)]. given #1286 (H,wt=15): 1462 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(69,a,61,a(flip),b,1455,a),flip(a)]. given #1287 (H,wt=15): 1467 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(79,a,1462,a)]. given #1288 (H,wt=17): 1456 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(495,a,1455,a)]. given #1289 (H,wt=17): 1458 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(487,a,1455,a)]. given #1290 (H,wt=17): 1460 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(73,a,1455,a)]. given #1291 (H,wt=17): 1461 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(69,a,81,a(flip),b,1455,a)]. given #1292 (H,wt=17): 1463 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(68,a,81,a(flip),b,1455,a)]. given #1293 (H,wt=17): 1465 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(154,a,1457,a,b,14,a)]. given #1294 (H,wt=18): 1472 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(92(a,1),1461(a,1,1)),flip(a)]. given #1295 (H,wt=18): 1474 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(73,a,1472,a),flip(a)]. given #1296 (H,wt=20): 1466 x / L(x,y,z) != x * u | T(1 / L(x,y,z),x) = u. [para(1457(a,1),155(a,2)),flip(a)]. given #1297 (H,wt=20): 1470 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1456(a,1),261(a,1,2)),flip(b)]. given #1298 (H,wt=20): 1475 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(69,a,420,a(flip),b,1472,a)]. given #1299 (H,wt=22): 1473 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1465(a,1),167(a,1,1))]. given #1300 (H,wt=25): 913 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(767(a,1),101(a,1,1))]. given #1301 (H,wt=25): 961 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(350(a,1),953(a,2,2)),flip(a)]. given #1302 (H,wt=20): 1478 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(772,a,961,a)]. given #1303 (H,wt=18): 1479 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1259(a,1),1478(a,1,1))]. given #1304 (H,wt=18): 1480 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(79,a,1479,a)]. given #1305 (H,wt=20): 1482 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(150(a,1),1479(a,1,1,2)),flip(a)]. given #1306 (H,wt=21): 1481 T(x,R(y,y \ 1,x)) != z * x | y \ ((x * y) / x) = z. [para(1479(a,1),20(a,1))]. given #1307 (H,wt=22): 1483 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(63(a,1),1480(a,1,1,2,2)),flip(a)]. given #1308 (H,wt=25): 1033 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(63(a,1),1021(a,1,1,1,2))]. given #1309 (H,wt=21): 1486 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(63(a,1),1033(a,1,2)),flip(a)]. given #1310 (H,wt=19): 1487 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1486(a,2,1,1))]. given #1311 (H,wt=25): 1045 T(a(x,y,z),x * (y * z)) \ ((x * y) * z) != u | x * (y * z) = u. [para(196(a,1),253(a,1,1)),flip(b)]. given #1312 (H,wt=25): 1064 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(409(a,1),644(a,1,2,1)),flip(a)]. given #1313 (H,wt=25): 1066 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(650(a,1),387(a,1,2)),flip(a)]. given #1314 (H,wt=21): 1490 x * R(x \ (y * x),z,u) = y * (R(y,z,u) * (y \ x)). [para(542(a,1),1066(a,1,2)),flip(a)]. given #1315 (H,wt=19): 1491 x * R(T(y,x),z,u) = y * (R(y,z,u) * (y \ x)). [para(32(a,2),1490(a,1,2,1))]. given #1316 (H,wt=17): 1493 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(670,a,1491,a)]. given #1317 (H,wt=17): 1494 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(543,a,1491,a)]. given #1318 (H,wt=17): 1495 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(332,a,1491,a),flip(a)]. given #1319 (H,wt=17): 1499 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(13(a,1),1495(a,1,2,2)),flip(a)]. given #1320 (H,wt=15): 1503 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(68,a,55,a(flip),b,1499,a),flip(a)]. given #1321 (H,wt=17): 1501 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(73,a,1499,a)]. given #1322 (H,wt=17): 1502 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(68,a,80,a(flip),b,1499,a)]. given #1323 (H,wt=18): 1492 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [hyper(812,a,1491,a),flip(a)]. given #1324 (H,wt=18): 1508 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(79,a,1492,a),flip(a)]. given #1325 (H,wt=19): 1500 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(32(a,2),1495(a,1,2,2))]. given #1326 (H,wt=14): 1509 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(154,a,101,a(flip),b,1500,a),flip(a)]. given #1327 (H,wt=14): 1510 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(73,a,1509,a)]. given #1328 (H,wt=20): 1497 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1493(a,1),253(a,1,1)),flip(b)]. given #1329 (H,wt=20): 1498 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(271(a,1),1494(a,1,2)),flip(a)]. given #1330 (H,wt=22): 1505 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(216,a,1503,a)]. given #1331 (H,wt=22): 1506 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1503(a,1),176(a,1,2)),flip(a)]. given #1332 (H,wt=25): 1067 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(659(a,1),426(a,1,1)),flip(a)]. given #1333 (H,wt=23): 1513 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1067(a,2,1,1,1))]. given #1334 (H,wt=23): 1514 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(199,a,539,a(flip),b,1513,a)]. given #1335 (H,wt=23): 1515 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(539(a,1),1514(a,1,1))]. given #1336 (H,wt=23): 1516 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(79,a,1515,a),flip(a)]. given #1337 (H,wt=25): 1070 (x \ y) * (y \ x) != z * (x \ y) | L(1 / (x \ y),x \ y,x) = z. [para(729(a,1),20(a,1))]. given #1338 (H,wt=25): 1071 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(92(a,1),736(a,1,1,1,1))]. given #1339 (H,wt=22): 1518 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(199,a,397,a(flip),b,1071,a)]. given #1340 (H,wt=24): 1519 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(105(a,1),1518(a,1,1,1,1,2))]. given #1341 (H,wt=22): 1520 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(165(a,1),1519(a,2,2))]. given #1342 (H,wt=25): 1072 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(145(a,1),762(a,1,2,1,2))]. given #1343 (H,wt=19): 1521 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(199,a,971,a(flip),b,1072,a(flip))]. given #1344 (H,wt=19): 1522 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(68,a,971,a(flip),b,1072,a(flip))]. given #1345 (H,wt=21): 1525 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(69,a,1522,a(flip),b,847,a)]. given #1346 (H,wt=25): 1077 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(764(a,1),388(a,1,2)),flip(a)]. given #1347 (H,wt=25): 1093 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(16(a,1),428(a,1,1,1))]. given #1348 (H,wt=25): 1206 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(172(a,2),1195(a,1,2))]. given #1349 (H,wt=25): 1207 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(150(a,1),837(a,1,2,2))]. given #1350 (H,wt=23): 1528 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1104(a,1),1207(a,1,2))]. given #1351 (H,wt=25): 1253 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(60(a,1),1252(a,1,2,1,1)),flip(a)]. given #1352 (H,wt=21): 1529 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(60(a,1),1253(a,1,1,1)),flip(a)]. given #1353 (H,wt=25): 1288 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [para(1287(a,1),107(a,1,1)),flip(a)]. given #1354 (H,wt=25): 1289 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(32(a,2),1268(a,1,2,1)),flip(a)]. given #1355 (H,wt=21): 1531 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(199,a,165,a(flip),b,1289,a)]. given #1356 (H,wt=25): 1306 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(199,a,631,a(flip),b,1297,a(flip))]. given #1357 (H,wt=23): 1533 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(631(a,1),1306(a,1,1))]. given #1358 (H,wt=25): 1327 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(532(a,1),1318(a,1,1,1)),flip(a)]. given #1359 (H,wt=25): 1401 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(799(a,1),1395(a,1,2)),flip(a)]. given #1360 (H,wt=25): 1402 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(851(a,1),1395(a,1,2)),flip(a)]. given #1361 (H,wt=25): 1430 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(154,a,1429,a,b,14,a)]. given #1362 (H,wt=25): 1444 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(154,a,1443,a,b,14,a)]. given #1363 (H,wt=25): 1454 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(741,a,891,a)]. given #1364 (H,wt=25): 1484 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1480(a,1),865(a,1,3)),flip(a)]. given #1365 (H,wt=25): 1488 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(73,a,1064,a)]. given #1366 (H,wt=23): 1535 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1488(a,1,2,2,1,2)),flip(a)]. given #1367 (H,wt=25): 1489 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(73,a,1066,a)]. given #1368 (H,wt=23): 1538 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1489(a,1,2,2,1,2)),flip(a)]. given #1369 (H,wt=25): 1504 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1499(a,1),161(a,1,2))]. given #1370 (H,wt=18): 1539 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(255,a,1504,a),flip(a)]. given #1371 (H,wt=25): 1511 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1447(a,1),1509(a,1,1))]. given #1372 (H,wt=23): 1540 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(167(a,1),1511(a,1,2))]. given #1373 (H,wt=21): 1541 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(199,a,1335,a(flip),b,1540,a)]. given #1374 (H,wt=25): 1527 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(73,a,1077,a)]. given #1375 (H,wt=21): 1542 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1527(a,1,2,2,1))]. given #1376 (H,wt=17): 1543 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(379,a,1542,a)]. given #1377 (H,wt=17): 1545 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(199,a,1263,a(flip),b,1543,a)]. given #1378 (H,wt=17): 1549 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1543(a,2),1521(a,1,2))]. given #1379 (H,wt=17): 1552 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(60(a,1),1549(a,1,2,2,1)),flip(a)]. given #1380 (H,wt=19): 1546 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(60(a,1),1543(a,1,2,1)),flip(a)]. given #1381 (H,wt=20): 1544 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1542(a,1),379(a,1))]. given #1382 (H,wt=20): 1553 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(100(a,2),1552(a,1,2))]. given #1383 (H,wt=16): 1554 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1553(a,2,2,2))]. given #1384 (H,wt=21): 1547 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(859(a,1),1543(a,1,2)),flip(a)]. given #1385 (H,wt=24): 1548 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1467(a,1),1543(a,1,2)),flip(a)]. given #1386 (H,wt=24): 1555 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1554(a,1),925(a,1,2,1)),flip(a)]. given #1387 (H,wt=19): 1556 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1554(a,1),1555(a,1,1)),flip(a)]. given #1388 (H,wt=17): 1557 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(12(a,1),1556(a,1,2)),flip(a)]. given #1389 (H,wt=13): 1559 K(x,y) / (x \ 1) = x * K(x,y). [hyper(69,a,13,a(flip),b,1557,a)]. given #1390 (H,wt=17): 1558 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(154,a,1557,a,b,204,a(flip))]. given #1391 (H,wt=24): 1560 x \ (x * K(x,y)) != (x \ 1) * z | T(x * K(x,y),x \ 1) = z. [para(1557(a,1),155(a,2)),flip(a)]. given #1392 (H,wt=25): 1530 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1288(a,1),346(a,1))]. given #1393 (H,wt=25): 1534 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(531(a,1),1454(a,2,1))]. given #1394 (H,wt=23): 1563 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(154,a,1534,a(flip),b,889,a(flip)),flip(a)]. given #1395 (H,wt=21): 1566 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1563(a,1,2,1,2)),flip(a)]. given #1396 (H,wt=21): 1567 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(68,a,1566,a,b,xx)]. given #1397 (H,wt=21): 1568 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1567(a,1,2,1,2,1)),flip(a)]. given #1398 (H,wt=21): 1570 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1319(a,1),1568(a,1,1)),flip(a)]. given #1399 (H,wt=21): 1571 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(199,a,1327,a(flip),b,1570,a(flip))]. given #1400 (H,wt=23): 1564 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),1534(a,1,2,1,2))]. given #1401 (H,wt=12): 1573 T(x,x * L(x \ 1,y,z)) = x. [hyper(154,a,778,a(flip),b,1564,a(flip))]. given #1402 (H,wt=11): 1575 T(x,x * ((y * x) \ y)) = x. [para(145(a,1),1573(a,1,2,2))]. given #1403 (H,wt=12): 1574 K(x,x * L(x \ 1,y,z)) = 1. [hyper(36,a,1573,a)]. given #1404 (H,wt=14): 1578 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1001(a,1),1573(a,1,2))]. given #1405 (H,wt=14): 1579 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1487(a,1),1573(a,1,2))]. given #1406 (H,wt=15): 1576 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(306(a,1),1573(a,1,2,2))]. given #1407 (H,wt=16): 1577 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(533(a,1),1573(a,1,2))]. given #1408 (H,wt=19): 1582 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(63(a,1),1576(a,1,2,2))]. given #1409 (H,wt=20): 1584 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1577(a,1),688(a,1,1))]. given #1410 (H,wt=21): 1580 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(856(a,1),1575(a,1,2,2,1))]. given #1411 (H,wt=21): 1585 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(35,a,1582,a)]. given #1412 (H,wt=22): 1581 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1579(a,1),373(a,1,1,2)),flip(a)]. given #1413 (H,wt=22): 1583 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1576(a,1),612(a,1,2)),flip(a)]. given #1414 (H,wt=21): 1588 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(18,a,729,a,b,1583,a)]. given #1415 (H,wt=23): 1572 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(199,a,889,a(flip),b,1564,a(flip)),flip(a)]. given #1416 (H,wt=25): 1536 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(14(a,1),1488(a,1,2,2,1,2)),flip(a)]. given #1417 (H,wt=25): 1561 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(199,a,889,a(flip),b,1534,a(flip)),flip(a)]. given #1418 (H,wt=25): 1587 T((x * (1 / y)) / x,L(y,z,u) / y) != w | (x * (1 / y)) / x = w. [para(1581(a,1),338(a,1,1)),flip(b)]. given #1419 (H,wt=25): 1590 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(16(a,1),1561(a,1,2,2,1,2,2)),flip(a)]. given #1420 (H,wt=26): 393 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(92(a,1),28(a,2,1)),flip(a)]. given #1421 (H,wt=26): 418 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 #1422 (H,wt=19): 1592 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(199,a,24,a,b,418,a),flip(a)]. given #1423 (H,wt=26): 430 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(101(a,1),30(a,2,2)),flip(a)]. given #1424 (H,wt=26): 440 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(101(a,1),101(a,1,2))]. given #1425 (H,wt=26): 454 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(101(a,1),102(a,2,2))]. given #1426 (H,wt=26): 558 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(228(a,2),28(a,2,1)),flip(a)]. given #1427 (H,wt=26): 559 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(228(a,2),260(a,1,1))]. given #1428 (H,wt=26): 668 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(666(a,1),28(a,2,1)),flip(a)]. given #1429 (H,wt=26): 678 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(552(a,2),255(a,1,2))]. given #1430 (H,wt=26): 719 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(92(a,1),403(a,1,2,2))]. given #1431 (H,wt=26): 779 (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. [para(310(a,1),218(a,1,2))]. given #1432 (H,wt=26): 789 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(412(a,2),218(a,1,2))]. given #1433 (H,wt=26): 798 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(105(a,1),458(a,1,2))]. given #1434 (H,wt=26): 814 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(T(y,(x \ 1) * x),x \ 1,x). [para(172(a,2),536(a,1,1))]. given #1435 (H,wt=26): 834 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(199,a,423,a,b,751,a(flip)),flip(a)]. given #1436 (H,wt=23): 1595 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(771(a,1),834(a,1,1))]. given #1437 (H,wt=26): 841 T(x,y) * (x * y) != T(x,y) * z | T(T(x,x * y) * y,T(x,y)) = z. [para(794(a,1),155(a,2)),flip(a)]. given #1438 (H,wt=26): 882 (x \ 1) * T((x \ 1) \ (x \ y),z) != u * w | (x \ T(y,z)) / w = u. [para(871(a,1),324(a,1,2))]. given #1439 (H,wt=26): 885 (1 / x) * T((1 / x) \ (y / x),z) != u * w | (T(y,z) / x) / w = u. [para(877(a,1),324(a,1,2))]. given #1440 (H,wt=26): 888 K(x \ 1,x) * L(L(y,x,x \ 1),z,u) = (x \ 1) * (x * L(y,z,u)). [para(172(a,2),398(a,1,1))]. given #1441 (H,wt=26): 922 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(198(a,1),710(a,1,2,1))]. given #1442 (H,wt=26): 966 (x * (T(x,y) \ z)) * u != x * z | T(T(x,y),x * (T(x,y) \ z)) = u. [para(928(a,1),155(a,2))]. given #1443 (H,wt=26): 986 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(329(a,1),984(a,1,1,1,1))]. given #1444 (H,wt=25): 1597 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(329(a,1),986(a,1,2))]. given #1445 (H,wt=25): 1598 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(42(a,2),1597(a,1,1,1))]. given #1446 (H,wt=18): 1599 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(423(a,1),1598(a,1,1))]. given #1447 (H,wt=22): 1600 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1599(a,1),38(a,1,1)),flip(a)]. given #1448 (H,wt=18): 1601 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(840(a,1),1600(a,1,1))]. given #1449 (H,wt=22): 1602 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1601(a,1,1)),flip(a)]. given #1450 (H,wt=19): 1603 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(443(a,1),1602(a,2,2))]. given #1451 (H,wt=15): 1604 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1603(a,1,1))]. given #1452 (H,wt=13): 1605 T(x,x * (y \ 1)) = T(x,y \ x). [para(107(a,1),1604(a,1,2)),flip(a)]. given #1453 (H,wt=13): 1606 T(x,(1 / y) \ x) = T(x,x * y). [para(63(a,1),1605(a,1,2,2)),flip(a)]. given #1454 (H,wt=13): 1607 T(x,x / (1 / y)) = T(x,x * y). [hyper(199,a,1157,a,b,1606,a(flip)),flip(a)]. given #1455 (H,wt=16): 1608 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(1607(a,1),1293(a,1,1))]. given #1456 (H,wt=14): 1609 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(199,a,1121,a(flip),b,1608,a)]. given #1457 (H,wt=17): 1611 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(1609(a,1),918(a,1,2)),flip(a)]. given #1458 (H,wt=17): 1612 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,366,a,b,1611,a),flip(a)]. given #1459 (H,wt=18): 1610 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(1609(a,1),165(a,1,2))]. given #1460 (H,wt=25): 1613 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(1164(a,1),1612(a,1,1))]. given #1461 (H,wt=26): 1056 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(547(a,1),1050(a,2,1))]. given #1462 (H,wt=26): 1086 ((x * y) / x) * (y \ z) != u | (y \ z) * ((x * ((y \ z) \ z)) / x) = u. [para(60(a,1),836(a,1,1,1,2))]. given #1463 (H,wt=26): 1094 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(577(a,2),19(a,1))]. given #1464 (H,wt=26): 1197 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(68,a,1190,a(flip),b,85,a)]. given #1465 (H,wt=26): 1203 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(154,a,1193,a,b,14,a),flip(a)]. given #1466 (H,wt=26): 1245 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(950(a,1),20(a,1))]. given #1467 (H,wt=26): 1290 (x \ 1) * R((x \ 1) \ 1,y,z) != u * w | (x \ R(x,y,z)) / w = u. [para(542(a,2),1278(a,1))]. given #1468 (H,wt=26): 1331 x * T(x \ T(y,x),z) != u * w | u \ T(x * T(x \ y,z),x) = w. [para(1312(a,1),328(a,1,2))]. given #1469 (H,wt=26): 1373 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1272(a,1),1372(a,1,1,2,1))]. given #1470 (H,wt=25): 1614 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(173(a,1),1373(a,1,1))]. given #1471 (H,wt=26): 1476 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1472(a,1),155(a,2)),flip(a)]. given #1472 (H,wt=26): 1496 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [para(1493(a,1),107(a,1,1)),flip(a)]. given #1473 (H,wt=26): 1524 x \ T(x,x / (x * y)) != z * u | (y * ((x * (y \ 1)) / x)) / u = z. [para(1521(a,1),384(a,1,2))]. given #1474 (H,wt=26): 1593 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(199,a,1025,a(flip),b,668,a(flip)),flip(a)]. given #1475 (H,wt=26): 1594 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(T(y,K(x \ 1,x)),x \ 1,x). [para(172(a,2),814(a,2,1,2))]. given #1476 (H,wt=27): 411 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),94(a,1,1)),flip(a)]. given #1477 (H,wt=27): 651 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(28(a,2),410(a,1,1))]. given #1478 (H,wt=27): 679 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(552(a,1),260(a,1,1))]. given #1479 (H,wt=27): 724 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(221(a,1),427(a,2,2))]. given #1480 (H,wt=27): 806 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(308(a,1),511(a,1,1))]. given #1481 (H,wt=27): 951 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(946(a,1),403(a,1,1))]. given #1482 (H,wt=27): 1018 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1012(a,1),94(a,2,1))]. given #1483 (H,wt=27): 1054 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(954(a,1),1048(a,1,2,1,2))]. given #1484 (H,wt=25): 1616 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1131(a,1),1054(a,1,2,1))]. given #1485 (H,wt=25): 1617 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1616(a,1),14(a,1,2))]. given #1486 (H,wt=23): 1618 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(199,a,1218,a(flip),b,1617,a(flip))]. given #1487 (H,wt=19): 1619 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(1130(a,1),1618(a,1,1)),flip(a)]. given #1488 (H,wt=13): 1620 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(199,a,1143,a(flip),b,1619,a(flip))]. given #1489 (H,wt=15): 1621 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(199,a,574,a(flip),b,1620,a(flip))]. given #1490 (H,wt=11): 1622 K(x,T(y,y * x)) = K(x,y). [hyper(199,a,574,a(flip),b,1621,a(flip))]. given #1491 (H,wt=15): 1624 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1605(a,1),1622(a,1,2))]. given #1492 (H,wt=19): 1625 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(1168(a,1),1624(a,1,2))]. given #1493 (H,wt=27): 1073 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(94(a,1),762(a,1,2,1,2))]. given #1494 (H,wt=27): 1074 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(198(a,1),762(a,1,2,1,2))]. given #1495 (H,wt=27): 1079 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(788(a,1),399(a,1,2))]. given #1496 (H,wt=21): 1626 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(154,a,1297,a(flip),b,1079,a(flip)),flip(a)]. given #1497 (H,wt=26): 1627 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(976(a,1),1079(a,2,2))]. given #1498 (H,wt=22): 1628 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(26(a,2),1627(a,1,2,1)),flip(a)]. given #1499 (H,wt=27): 1116 ((x * y) * T(z,y * z)) / T(y * z,z) != u | R(x,y,T(z,y * z)) = u. [para(1110(a,1),436(a,1,2))]. given #1500 (H,wt=27): 1226 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1223(a,1,1,2))]. given #1501 (H,wt=27): 1232 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(13(a,1),1219(a,1,2,1)),flip(a)]. given #1502 (H,wt=27): 1242 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(199,a,999,a,b,1239,a(flip)),flip(a)]. given #1503 (H,wt=27): 1244 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(199,a,364,a(flip),b,1240,a)]. given #1504 (H,wt=27): 1277 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1270(a,1),583(a,2,1))]. given #1505 (H,wt=27): 1388 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(783(a,1),1303(a,1,1)),flip(a)]. given #1506 (H,wt=27): 1391 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1305(a,1,2,2,1,2,2))]. given #1507 (H,wt=27): 1397 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(799(a,1),1392(a,1,1)),flip(a)]. given #1508 (H,wt=25): 1631 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(105(a,1),1397(a,1,2)),flip(a)]. given #1509 (H,wt=25): 1633 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1320,a,1631,a)]. given #1510 (H,wt=17): 1634 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(64(a,1),1633(a,1,1))]. given #1511 (H,wt=17): 1635 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),1634(a,2,2,1,2)),flip(a)]. given #1512 (H,wt=23): 1636 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(86(a,1),1635(a,1,2,1)),flip(a)]. given #1513 (H,wt=24): 1637 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1635(a,1),377(a,1,2))]. given #1514 (H,wt=27): 1426 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(765(a,1),387(a,1,2)),flip(a)]. given #1515 (H,wt=23): 1639 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1543(a,2),1426(a,1,2))]. given #1516 (H,wt=21): 1640 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(12(a,1),1639(a,2,2,1,2,2))]. given #1517 (H,wt=25): 1641 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),1640(a,1,2,2,1,2)),flip(a)]. given #1518 (H,wt=27): 1468 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1462(a,1),94(a,2,1))]. given #1519 (H,wt=27): 1512 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(600(a,1),1498(a,1,1)),flip(a)]. given #1520 (H,wt=23): 1642 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(14(a,1),1512(a,1,2,1)),flip(a)]. given #1521 (H,wt=27): 1532 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(932(a,1),1531(a,1,2,1,2))]. given #1522 (H,wt=19): 1644 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(14(a,1),1532(a,1,2,1)),flip(a)]. given #1523 (H,wt=27): 1550 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(932(a,1),1545(a,2,2,1))]. given #1524 (H,wt=27): 1562 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(199,a,778,a(flip),b,1534,a(flip))]. given #1525 (H,wt=25): 1645 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(778(a,1),1562(a,1,1))]. given #1526 (H,wt=24): 1647 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(303(a,1),1645(a,1,1,2,2)),flip(a)]. given #1527 (H,wt=19): 1648 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(303(a,1),1647(a,1,2,2)),flip(a)]. given #1528 (H,wt=25): 1646 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(69,a,81,a(flip),b,1645,a)]. given #1529 (H,wt=27): 1629 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1576(a,1),1226(a,2,2,2))]. given #1530 (H,wt=21): 1649 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(199,a,208,a(flip),b,1629,a)]. given #1531 (H,wt=19): 1651 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1649(a,1),1000(a,1,1)),flip(a)]. given #1532 (H,wt=17): 1652 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(199,a,1430,a(flip),b,1651,a(flip)),flip(a)]. given #1533 (H,wt=18): 1653 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(346,a,1652,a)]. given #1534 (H,wt=21): 1654 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1652(a,1,1,2))]. given #1535 (H,wt=17): 1657 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1654(a,2,2))]. given #1536 (H,wt=17): 1658 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1657(a,1),14(a,1,2))]. given #1537 (H,wt=17): 1659 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1657(a,1),60(a,1,2))]. given #1538 (H,wt=18): 1660 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(145(a,2),1658(a,1,1,1)),flip(a)]. given #1539 (H,wt=19): 1662 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(506,a,1660,a)]. given #1540 (H,wt=22): 1655 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1653(a,1,3))]. given #1541 (H,wt=17): 1663 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(641,a,1655,a)]. given #1542 (H,wt=24): 1656 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1653(a,1),1535(a,1,2)),flip(a)]. given #1543 (H,wt=27): 1632 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1044(a,2),1397(a,1,2)),flip(a)]. given #1544 (H,wt=25): 1664 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(57(a,1),1632(a,1,1,2,1,2)),flip(a)]. given #1545 (H,wt=23): 1665 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(12(a,1),1664(a,2,1,2,1))]. given #1546 (H,wt=21): 1667 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(67,a,14,a(flip),b,1665,a),flip(a)]. given #1547 (H,wt=27): 1638 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(73,a,1426,a)]. given #1548 (H,wt=25): 1668 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [para(12(a,1),1638(a,1,2,2,1,2,2)),flip(a)]. given #1549 (H,wt=28): 731 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(102(a,2),539(a,1,1,1))]. given #1550 (H,wt=25): 1669 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(708,a,731,a),flip(a)]. given #1551 (H,wt=25): 1670 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(539(a,1),1669(a,2,1))]. given #1552 (H,wt=21): 1676 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1670(a,1,2,1)),flip(a)]. given #1553 (H,wt=17): 1680 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1676(a,1,1,2,1))]. given #1554 (H,wt=15): 1682 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(490,a,1680,a),flip(a)]. given #1555 (H,wt=15): 1684 (x / R(x,y,z)) / x = 1 / R(x,y,z). [hyper(79,a,1682,a)]. given #1556 (H,wt=17): 1681 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(495,a,1680,a)]. given #1557 (H,wt=17): 1683 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(73,a,1680,a)]. given #1558 (H,wt=18): 1685 (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. [para(1684(a,1),207(a,1,1)),flip(b)]. given #1559 (H,wt=18): 1687 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1683(a,1),915(a,1,1)),flip(a)]. given #1560 (H,wt=19): 1690 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1687(a,1),535(a,1,2))]. given #1561 (H,wt=19): 1691 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(69,a,54,a(flip),b,1690,a)]. given #1562 (H,wt=19): 1694 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(591,a,1691,a)]. given #1563 (H,wt=20): 1686 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1681(a,1),261(a,1,2)),flip(b)]. given #1564 (H,wt=20): 1693 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(987(a,1),1690(a,1,1)),flip(a)]. given #1565 (H,wt=23): 1673 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(154,a,1670,a(flip),b,887,a(flip)),flip(a)]. given #1566 (H,wt=21): 1695 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1673(a,1,2,1,2)),flip(a)]. given #1567 (H,wt=19): 1697 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(131(a,1),1695(a,2,2,1,2))]. given #1568 (H,wt=12): 1698 T(x,x * R(x \ 1,y,z)) = x. [hyper(35,a,1697,a)]. given #1569 (H,wt=11): 1701 T(x,(y / (x * y)) * x) = x. [para(552(a,2),1698(a,1,2))]. given #1570 (H,wt=14): 1704 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1269(a,1),1698(a,1,2))]. given #1571 (H,wt=15): 1703 T(x / y,(y / x) * (x / y)) = x / y. [para(677(a,1),1698(a,1,2))]. given #1572 (H,wt=16): 1700 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(63(a,1),1698(a,1,2,2,1))]. given #1573 (H,wt=16): 1702 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(542(a,1),1698(a,1,2))]. given #1574 (H,wt=17): 1706 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(35,a,1704,a)]. given #1575 (H,wt=18): 1707 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1704(a,1),38(a,1,1)),flip(a)]. given #1576 (H,wt=19): 1708 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(15(a,1),1703(a,1,2,1))]. given #1577 (H,wt=20): 1710 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1702(a,1),688(a,1,1))]. given #1578 (H,wt=20): 1711 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1708(a,1),688(a,1,1))]. given #1579 (H,wt=19): 1713 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(199,a,547,a(flip),b,1711,a)]. given #1580 (H,wt=21): 1696 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(68,a,1695,a,b,xx)]. given #1581 (H,wt=23): 1675 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),1670(a,1,2,1,2))]. given #1582 (H,wt=23): 1688 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(796,a,1687,a)]. given #1583 (H,wt=21): 1719 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(199,a,107,a(flip),b,1688,a)]. given #1584 (H,wt=21): 1720 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [para(1719(a,1),14(a,1,2))]. given #1585 (H,wt=19): 1721 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [hyper(69,a,11,a(flip),b,1720,a)]. given #1586 (H,wt=23): 1717 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(199,a,887,a(flip),b,1675,a(flip)),flip(a)]. given #1587 (H,wt=24): 1715 x * R(x \ T(y,x),z,u) != w | T(x * R(x \ y,z,u),x) = w. [para(1696(a,1),211(a,1,2)),flip(b)]. given #1588 (H,wt=24): 1722 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(314(a,1),1721(a,1,1)),flip(a)]. given #1589 (H,wt=17): 1724 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(314(a,1),1722(a,1,2)),flip(a)]. given #1590 (H,wt=17): 1725 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1724(a,1),16(a,1,1))]. given #1591 (H,wt=20): 1728 ((x / y) * (y / x)) * ((x / y) \ 1) != z | y / x = z. [para(1724(a,1),207(a,1,1)),flip(b)]. given #1592 (H,wt=21): 1726 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(60(a,1),1724(a,1,1)),flip(a)]. given #1593 (H,wt=17): 1729 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(60(a,1),1726(a,1,2)),flip(a)]. given #1594 (H,wt=21): 1727 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(60(a,1),1724(a,1,2,1)),flip(a)]. given #1595 (H,wt=17): 1731 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(521,a,1727,a),flip(a)]. given #1596 (H,wt=17): 1733 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1731(a,1),16(a,1,1))]. given #1597 (H,wt=20): 1734 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(199,a,313,a,b,1733,a)]. given #1598 (H,wt=25): 1671 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(199,a,887,a(flip),b,1670,a(flip)),flip(a)]. given #1599 (H,wt=25): 1689 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1687(a,1),165(a,1,2)),flip(a)]. given #1600 (H,wt=25): 1705 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1701(a,1),975(a,1,1,1)),flip(a)]. given #1601 (H,wt=24): 1735 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(547(a,1),1705(a,1,2))]. given #1602 (H,wt=25): 1709 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1700(a,1),615(a,1,1,2))]. given #1603 (H,wt=25): 1736 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1709(a,1),1277(a,1,1))]. given #1604 (H,wt=23): 1737 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(742,a,1736,a)]. given #1605 (H,wt=27): 1672 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(154,a,1670,a(flip),b,1066,a),flip(a)]. given #1606 (H,wt=25): 1738 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1672(a,1,1))]. given #1607 (H,wt=23): 1739 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1738(a,1,2,1,1))]. given #1608 (H,wt=27): 1699 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1697(a,1),1325(a,2,2,1))]. given #1609 (H,wt=23): 1741 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(546(a,1),1699(a,2,2))]. given #1610 (H,wt=19): 1742 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(546(a,1),1741(a,1,1,2))]. given #1611 (H,wt=18): 1743 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(146(a,1),1742(a,1,1,2))]. given #1612 (H,wt=17): 1744 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(146(a,1),1743(a,2,2))]. given #1613 (H,wt=11): 1745 T(x,x * (y / (x * y))) = x. [hyper(35,a,1744,a)]. given #1614 (H,wt=11): 1747 T(x,x * ((x \ y) / y)) = x. [para(14(a,1),1745(a,1,2,2,2))]. given #1615 (H,wt=15): 1748 T(x / y,(x / y) * (y / x)) = x / y. [para(16(a,1),1745(a,1,2,2,2))]. given #1616 (H,wt=17): 1751 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1748(a,1),167(a,1,1)),flip(a)]. given #1617 (H,wt=15): 1752 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(199,a,107,a(flip),b,1751,a)]. given #1618 (H,wt=19): 1749 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1747(a,1),231(a,1,1)),flip(a)]. given #1619 (H,wt=19): 1750 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(15(a,1),1748(a,1,2,2))]. given #1620 (H,wt=21): 1755 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(35,a,1750,a)]. given #1621 (H,wt=22): 1746 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(199,a,1735,a,b,1744,a(flip)),flip(a)]. given #1622 (H,wt=27): 1723 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(13(a,1),1717(a,1,2,2,1,2))]. given #1623 (H,wt=25): 1756 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1675(a,1),1723(a,1,2)),flip(a)]. given #1624 (H,wt=27): 1753 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1752(a,1),1242(a,2,1,2))]. given #1625 (H,wt=23): 1758 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(14(a,1),1753(a,2,1))]. given #1626 (H,wt=21): 1759 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(199,a,57,a(flip),b,1758,a)]. given #1627 (H,wt=28): 748 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(28(a,2),546(a,1,1,2,1))]. given #1628 (H,wt=25): 1761 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(397(a,1),748(a,1,1)),flip(a)]. given #1629 (H,wt=28): 864 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(856(a,1),622(a,1,2))]. given #1630 (H,wt=22): 1762 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(1374,a,864,a)]. given #1631 (H,wt=24): 1764 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1762(a,1),583(a,1,1))]. given #1632 (H,wt=22): 1765 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(742,a,1764,a),flip(a)]. given #1633 (H,wt=20): 1766 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1765(a,1),1547(a,1,2))]. given #1634 (H,wt=28): 902 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(470(a,1),218(a,1,2))]. given #1635 (H,wt=28): 1007 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(306(a,1),1004(a,1,1))]. given #1636 (H,wt=21): 1767 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(306(a,1),1007(a,1,2,2))]. given #1637 (H,wt=21): 1768 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(1767(a,1),14(a,1,2))]. given #1638 (H,wt=28): 1046 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(908(a,1),415(a,2,2))]. given #1639 (H,wt=28): 1095 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(94(a,1),711(a,1,2,1))]. given #1640 (H,wt=28): 1096 (x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5. [para(198(a,1),711(a,1,2,1))]. given #1641 (H,wt=28): 1135 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(311(a,1),1126(a,1,1)),flip(a)]. given #1642 (H,wt=25): 1771 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(199,a,396,a(flip),b,1135,a)]. given #1643 (H,wt=28): 1309 (x * y) * T((x * y) \ (z * y),u) != y * w | T(x * T(x \ z,u),y) = w. [para(1297(a,2),155(a,2)),flip(a)]. given #1644 (H,wt=28): 1396 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1392(a,1),255(a,1,2))]. given #1645 (H,wt=28): 1404 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(146(a,2),1400(a,1,1,1,2))]. given #1646 (H,wt=28): 1412 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1408(a,1),161(a,1,2))]. given #1647 (H,wt=23): 1774 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1412(a,1),255(a,1))]. given #1648 (H,wt=28): 1417 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(632(a,1),1415(a,1,1,1))]. given #1649 (H,wt=28): 1431 ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. [para(1429(a,1),155(a,2))]. given #1650 (H,wt=28): 1445 (x * ((x \ y) / y)) * z != x | T(1 / ((x \ y) / y),x * ((x \ y) / y)) = z. [para(1443(a,1),155(a,2))]. given #1651 (H,wt=28): 1485 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1482(a,1),1246(a,1,1,2,1))]. given #1652 (H,wt=23): 1775 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(199,a,1482,a(flip),b,1485,a)]. given #1653 (H,wt=28): 1569 x * L(x \ T(y,x),z,u) != w * v5 | w \ T(x * L(x \ y,z,u),x) = v5. [para(1567(a,1),328(a,1,2))]. given #1654 (H,wt=28): 1692 (x * R(y,z,u)) * T(y,x) != w * (x * R(y,z,u)) | R(y,x,R(y,z,u)) = w. [para(1690(a,2),427(a,1))]. given #1655 (H,wt=28): 1714 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1713(a,1),1510(a,1,1))]. given #1656 (H,wt=22): 1776 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(1755(a,1),1714(a,1,2))]. given #1657 (H,wt=16): 1777 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(678,a,1776,a)]. given #1658 (H,wt=28): 1716 x * R(x \ T(y,x),z,u) != w * v5 | w \ T(x * R(x \ y,z,u),x) = v5. [para(1696(a,1),328(a,1,2))]. given #1659 (H,wt=28): 1718 (x * y) * R((x * y) \ y,z,u) != y * w | T(x * R(x \ 1,z,u),y) = w. [para(1675(a,2),155(a,2)),flip(a)]. given #1660 (H,wt=29): 528 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(164(a,1),24(a,2,1,2)),flip(a)]. given #1661 (H,wt=29): 725 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(666(a,1),427(a,2,2))]. given #1662 (H,wt=29): 787 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(309(a,2),399(a,1,2))]. given #1663 (H,wt=27): 1780 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(105(a,1),787(a,1,2,1,1)),flip(a)]. given #1664 (H,wt=23): 1781 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(154,a,1675,a(flip),b,1780,a),flip(a)]. given #1665 (H,wt=24): 1782 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(553,a,1781,a),flip(a)]. given #1666 (H,wt=28): 1784 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(847(a,1),1782(a,2,1,2))]. given #1667 (H,wt=25): 1785 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1359(a,1),1784(a,1,1,2)),flip(a)]. given #1668 (H,wt=28): 1786 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | (x \ 1) / (x \ T(x,y)) = z. [para(1785(a,1),20(a,1))]. given #1669 (H,wt=29): 892 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * ((y / z) * z). [para(446(a,1),432(a,1,1,1)),flip(a)]. given #1670 (H,wt=25): 1787 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(16(a,1),892(a,2,2))]. given #1671 (H,wt=25): 1788 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(199,a,531,a(flip),b,1787,a)]. given #1672 (H,wt=25): 1789 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(531(a,1),1788(a,1,1))]. given #1673 (H,wt=25): 1790 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(79,a,1789,a)]. given #1674 (H,wt=23): 1791 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(11(a,1),1790(a,1,1,2,1,2)),flip(a)]. given #1675 (H,wt=29): 900 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(315(a,2),469(a,1,1,1))]. given #1676 (H,wt=23): 1793 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(115(a,1),900(a,1,1,1,1)),flip(a)]. given #1677 (H,wt=23): 1794 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(912,a,1793,a)]. given #1678 (H,wt=19): 1795 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(63(a,1),1794(a,1,2,1,1))]. given #1679 (H,wt=29): 920 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(68,a,919,a(flip),b,272,a),flip(a)]. given #1680 (H,wt=29): 1039 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1037(a,1),85(a,1,1))]. given #1681 (H,wt=29): 1075 (1 / x) \ ((y * (((1 / x) * x) \ ((1 / x) * z))) / y) = x * ((y * (x \ z)) / y). [hyper(68,a,763,a(flip),b,176,a)]. given #1682 (H,wt=23): 1796 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [para(113(a,1),1075(a,1,2,1,2))]. given #1683 (H,wt=21): 1797 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(12(a,1),1796(a,1,2,1,2))]. given #1684 (H,wt=20): 1799 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(199,a,1483,a(flip),b,1797,a(flip)),flip(a)]. given #1685 (H,wt=20): 1800 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1799(a,1),16(a,1,1))]. given #1686 (H,wt=20): 1802 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1522(a,2),1800(a,1,1)),flip(a)]. given #1687 (H,wt=26): 1801 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(932(a,1),1800(a,1,1,2,1))]. given #1688 (H,wt=25): 1803 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(449(a,1),1801(a,2,2))]. given #1689 (H,wt=23): 1804 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),1803(a,2,2,1))]. given #1690 (H,wt=29): 1204 (L(x,y,z) * (x \ u)) * w != L(x,y,z) * u | T(x,L(x,y,z) * (x \ u)) = w. [para(1193(a,1),155(a,2))]. given #1691 (H,wt=29): 1264 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(375(a,1),1262(a,1,2,1)),flip(a)]. given #1692 (H,wt=25): 1805 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(375(a,1),1264(a,1,1)),flip(a)]. given #1693 (H,wt=29): 1386 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1302(a,1,1))]. given #1694 (H,wt=27): 1806 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1386(a,1,2,1,1)),flip(a)]. given #1695 (H,wt=27): 1807 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(784(a,1),1806(a,1,2))]. given #1696 (H,wt=25): 1808 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1396,a,1807,a),flip(a)]. given #1697 (H,wt=25): 1809 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),1808(a,1,2,1,2)),flip(a)]. given #1698 (H,wt=23): 1810 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(150(a,1),1809(a,1,1,2,1,2)),flip(a)]. given #1699 (H,wt=21): 1811 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(131(a,1),1810(a,1,2,1,2))]. given #1700 (H,wt=19): 1812 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1053,a,1811,a),flip(a)]. given #1701 (H,wt=17): 1817 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(242(a,1),1812(a,1,1)),flip(a)]. given #1702 (H,wt=19): 1816 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(181(a,1),1812(a,2,1,2))]. given #1703 (H,wt=20): 1818 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1217(a,2),1812(a,1,1)),flip(a)]. given #1704 (H,wt=19): 1820 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(306(a,1),1818(a,1,1,2,2,1))]. given #1705 (H,wt=21): 1813 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(215,a,1811,a),flip(a)]. given #1706 (H,wt=15): 1822 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(1786,a,1813,a)]. given #1707 (H,wt=21): 1814 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(73,a,1811,a)]. given #1708 (H,wt=21): 1815 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1812(a,1),105(a,1,2)),flip(a)]. given #1709 (H,wt=21): 1823 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1822(a,1),107(a,1,1))]. given #1710 (H,wt=23): 1826 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1344(a,1),1814(a,1,2,1,2)),flip(a)]. given #1711 (H,wt=19): 1827 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(14(a,1),1826(a,2,2,1))]. given #1712 (H,wt=17): 1829 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(131(a,1),1827(a,2,2))]. given #1713 (H,wt=15): 1830 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(199,a,1823,a(flip),b,1829,a(flip)),flip(a)]. given #1714 (H,wt=17): 1835 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(1830(a,1),1667(a,1,2,2))]. given #1715 (H,wt=17): 1836 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(73,a,1835,a),flip(a)]. given #1716 (H,wt=20): 1832 T(T(x,y) \ 1,x \ T(x,z)) != u | T(x,y) \ 1 = u. [para(1829(a,1),338(a,1,1)),flip(b)]. given #1717 (H,wt=18): 1837 (x \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. [para(1823(a,1),1832(a,1))]. given #1718 (H,wt=21): 1834 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(638(a,1),1830(a,1,1))]. given #1719 (H,wt=17): 1838 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(63(a,1),1834(a,1,2))]. given #1720 (H,wt=17): 1839 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(1838(a,1),60(a,1,2))]. given #1721 (H,wt=17): 1840 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1047(a,2),1838(a,1,1))]. given #1722 (H,wt=24): 1824 T(T(x,y) \ 1,x \ T(x,y)) != z | (x \ T(x,y)) \ (x \ 1) = z. [para(1822(a,1),337(a,1,1))]. given #1723 (H,wt=24): 1825 T(x,y) * T(T(x,y) \ 1,z) != u | T(x * T(x \ 1,z),y) = u. [para(1814(a,1),211(a,1,2)),flip(b)]. given #1724 (H,wt=25): 1821 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(106(a,1),1820(a,1,1,2,2)),flip(a)]. given #1725 (H,wt=29): 1464 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1455(a,1),260(a,1,1))]. given #1726 (H,wt=29): 1507 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1503(a,1),842(a,1,2,1,2))]. given #1727 (H,wt=19): 1841 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),1507(a,1,2,1)),flip(a)]. given #1728 (H,wt=25): 1842 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(107(a,1),1841(a,1,1)),flip(a)]. given #1729 (H,wt=23): 1843 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(107(a,1),1842(a,1,2)),flip(a)]. given #1730 (H,wt=27): 1844 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),1843(a,1,1)),flip(a)]. given #1731 (H,wt=23): 1845 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),1844(a,1,2)),flip(a)]. given #1732 (H,wt=29): 1596 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(704(a,1),1595(a,1,1,1,2)),flip(a)]. given #1733 (H,wt=21): 1846 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(243(a,1),1596(a,1,2,1,2)),flip(a)]. given #1734 (H,wt=23): 1847 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(150(a,1),1846(a,1,1)),flip(a)]. given #1735 (H,wt=17): 1848 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(150(a,1),1847(a,1,2)),flip(a)]. given #1736 (H,wt=25): 1849 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(1848(a,1),1550(a,1,2,1)),flip(a)]. given #1737 (H,wt=21): 1850 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(15(a,1),1849(a,2,2))]. given #1738 (H,wt=21): 1851 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(1850(a,1),14(a,1,2))]. given #1739 (H,wt=24): 1853 (T(x,y) \ x) / x != (T(x,y) \ 1) * z | K(x,T(x,y) \ 1) = z. [para(1851(a,1),19(a,1))]. given #1740 (H,wt=29): 1661 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1659(a,1),1055(a,2,1,1,2)),flip(a)]. given #1741 (H,wt=17): 1854 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1661(a,1,1,1))]. given #1742 (H,wt=19): 1855 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(154,a,1854,a,b,14,a),flip(a)]. given #1743 (H,wt=22): 1856 T(x,(y * x) \ y) != x * z | T(K(x,(y * x) \ y),x) = z. [para(1854(a,1),155(a,2)),flip(a)]. given #1744 (H,wt=29): 1674 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(68,a,1670,a(flip),b,1066,a),flip(a)]. given #1745 (H,wt=29): 1740 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(13(a,1),1739(a,2,1,2,1))]. given #1746 (H,wt=29): 1754 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1749(a,1),1242(a,2,1,2))]. given #1747 (H,wt=21): 1859 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(152(a,1),1754(a,2,1))]. given #1748 (H,wt=19): 1860 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(199,a,57,a(flip),b,1859,a)]. given #1749 (H,wt=23): 1862 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1860(a,1),1000(a,1,1)),flip(a)]. given #1750 (H,wt=17): 1863 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(199,a,1444,a(flip),b,1862,a(flip)),flip(a)]. given #1751 (H,wt=21): 1864 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(63(a,1),1863(a,1,1,2,1))]. given #1752 (H,wt=17): 1865 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(63(a,1),1864(a,2,2,1))]. given #1753 (H,wt=15): 1867 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1865(a,1),1759(a,1,1))]. given #1754 (H,wt=17): 1866 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(1865(a,1),14(a,1,2))]. given #1755 (H,wt=17): 1868 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(15(a,1),1867(a,1,1,2))]. given #1756 (H,wt=13): 1870 K(1 / x,(y / (x * y)) * x) = 1. [para(15(a,1),1868(a,1,2,2))]. given #1757 (H,wt=15): 1871 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(37,a,1870,a)]. given #1758 (H,wt=14): 1872 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1530,a,1871,a)]. given #1759 (H,wt=15): 1873 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(146(a,2),1872(a,1,3))]. given #1760 (H,wt=17): 1874 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1872(a,1),305(a,1,2))]. given #1761 (H,wt=19): 1875 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1873(a,1),311(a,1,2))]. given #1762 (H,wt=14): 1876 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1017,a,1875,a)]. given #1763 (H,wt=21): 1869 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(69,a,15,a(flip),b,1866,a),flip(a)]. given #1764 (H,wt=17): 1877 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),1869(a,1,1)),flip(a)]. given #1765 (H,wt=24): 1878 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1877(a,1),1056(a,1,1,2))]. given #1766 (H,wt=20): 1879 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(199,a,574,a(flip),b,1878,a(flip))]. given #1767 (H,wt=20): 1881 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(1879(a,1),16(a,1,1))]. given #1768 (H,wt=23): 1882 R(x \ 1,x,y) != z * (y / (x * y)) | K(y / (x * y),x) = z. [para(1881(a,1),20(a,1))]. given #1769 (H,wt=30): 720 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(83(a,1),403(a,1,2,2))]. given #1770 (H,wt=30): 797 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(448(a,1),582(a,1,2,1,2)),flip(a)]. given #1771 (H,wt=27): 1883 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(772,a,797,a),flip(a)]. given #1772 (H,wt=27): 1884 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),1883(a,1,2,1,2,2)),flip(a)]. given #1773 (H,wt=23): 1886 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(268,a,1884,a),flip(a)]. given #1774 (H,wt=17): 1889 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(199,a,971,a(flip),b,1886,a(flip))]. given #1775 (H,wt=19): 1890 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(154,a,1889,a,b,14,a),flip(a)]. given #1776 (H,wt=22): 1891 T(x,x / (x * y)) != y * z | T(x * ((x / y) / x),y) = z. [para(1889(a,1),155(a,2)),flip(a)]. given #1777 (H,wt=23): 1888 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(199,a,1074,a(flip),b,1886,a(flip)),flip(a)]. given #1778 (H,wt=26): 1887 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1884(a,1),268(a,1))]. given #1779 (H,wt=20): 1893 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(971(a,1),1887(a,1))]. given #1780 (H,wt=26): 1894 x * (y * ((x * (y \ (x \ z))) / x)) != u | (x * ((z / y) / x)) * y = u. [para(1074(a,1),1887(a,1))]. given #1781 (H,wt=27): 1885 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(751(a,1),1883(a,2,1))]. given #1782 (H,wt=25): 1897 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(11(a,1),1885(a,1,2,1,2,2))]. given #1783 (H,wt=21): 1901 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(154,a,1897,a(flip),b,1641,a(flip))]. given #1784 (H,wt=19): 1906 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1546(a,1),1901(a,1,1)),flip(a)]. given #1785 (H,wt=21): 1905 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(1522(a,2),1901(a,1,1))]. given #1786 (H,wt=21): 1907 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1385(a,1),1906(a,1,2,1,2)),flip(a)]. given #1787 (H,wt=17): 1908 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(60(a,1),1907(a,2,2,1))]. given #1788 (H,wt=19): 1909 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(15(a,1),1908(a,1,1,2))]. given #1789 (H,wt=15): 1910 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(15(a,1),1909(a,1,2,1))]. given #1790 (H,wt=11): 1911 T(K(x,y),K(y,z)) = K(x,y). [para(15(a,1),1910(a,2,2))]. given #1791 (H,wt=9): 1912 K(K(x,y),K(y,z)) = 1. [hyper(36,a,1911,a)]. given #1792 (H,wt=11): 1913 T(K(x,y),K(z,x)) = K(x,y). [hyper(35,a,1911,a)]. given #1793 (H,wt=14): 1917 T(K(x,y),K(y,z)) != u | K(x,y) = u. [para(1911(a,1),338(a,1,1)),flip(b)]. given #1794 (H,wt=14): 1922 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(1913(a,1),338(a,1,1)),flip(b)]. given #1795 (H,wt=15): 1914 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1911(a,1),105(a,1,2))]. given #1796 (H,wt=18): 1915 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1911(a,1),215(a,1,2))]. given #1797 (H,wt=18): 1916 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1911(a,1),217(a,1,1))]. given #1798 (H,wt=18): 1921 K(x,y) * K(y,z) != u * K(x,y) | K(y,z) = u. [para(1913(a,1),156(a,1,2)),flip(b)]. given #1799 (H,wt=18): 1923 K(x,y) * K(y,z) != K(y,z) * u | K(x,y) = u. [para(1914(a,1),19(a,1))]. given #1800 (H,wt=18): 1924 K(x,y) * K(z,x) != K(z,x) * u | K(x,y) = u. [para(1914(a,2),19(a,1))]. given #1801 (H,wt=21): 1918 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1911(a,1),164(a,1,2,1)),flip(a)]. given #1802 (H,wt=21): 1919 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(1911(a,1),165(a,1,2,1)),flip(a)]. given #1803 (H,wt=23): 1900 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(199,a,1072,a(flip),b,1897,a(flip))]. given #1804 (H,wt=24): 1920 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(1911(a,1),331(a,1,2,1))]. given #1805 (H,wt=25): 1904 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(199,a,1543,a(flip),b,1901,a),flip(a)]. given #1806 (H,wt=21): 1927 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),1904(a,2,1,2,1))]. given #1807 (H,wt=19): 1928 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(932(a,1),1927(a,1,2,1))]. given #1808 (H,wt=22): 1929 T(x * (1 / x),y) != T(x,y) * z | (T(x,y) \ x) / x = z. [para(1928(a,1),19(a,1))]. given #1809 (H,wt=25): 1926 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(14(a,1),1904(a,1,2,1)),flip(a)]. given #1810 (H,wt=29): 1896 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(154,a,1885,a(flip),b,1426,a),flip(a)]. given #1811 (H,wt=27): 1930 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),1896(a,1,1))]. given #1812 (H,wt=25): 1931 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),1930(a,1,2,1,2,1))]. given #1813 (H,wt=29): 1899 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(199,a,1073,a(flip),b,1897,a(flip)),flip(a)]. given #1814 (H,wt=27): 1932 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1897(a,1),1899(a,1,2)),flip(a)]. given #1815 (H,wt=25): 1933 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1543(a,2),1932(a,1,1))]. given #1816 (H,wt=29): 1925 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1294(a,1),1900(a,1,1)),flip(a)]. given #1817 (H,wt=23): 1934 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1294(a,1),1925(a,1,2)),flip(a)]. given #1818 (H,wt=23): 1935 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(79,a,1934,a)]. given #1819 (H,wt=26): 1936 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1935(a,1),769(a,1,1))]. given #1820 (H,wt=23): 1937 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(199,a,441,a(flip),b,1936,a(flip))]. given #1821 (H,wt=27): 1938 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1937(a,1),583(a,1,1))]. given #1822 (H,wt=23): 1939 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(337,a,1938,a),flip(a)]. given #1823 (H,wt=19): 1940 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(199,a,26,a,b,1939,a),flip(a)]. given #1824 (H,wt=15): 1941 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),1940(a,2,1,2)),flip(a)]. given #1825 (H,wt=13): 1943 (x \ 1) / (1 / x) = K(x \ 1,x). [para(666(a,1),1941(a,1,1))]. given #1826 (H,wt=13): 1944 x / (1 / (1 / x)) = K(x,1 / x). [para(758(a,1),1941(a,1,1))]. given #1827 (H,wt=13): 1945 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(199,a,172,a(flip),b,1943,a)]. given #1828 (H,wt=11): 1949 T(1 / (1 / x),x \ 1) = x. [hyper(1182,a,1945,a)]. given #1829 (H,wt=13): 1946 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(199,a,1181,a(flip),b,1943,a(flip)),flip(a)]. given #1830 (H,wt=13): 1947 K(x \ 1,x) * (1 / x) = x \ 1. [para(1943(a,1),16(a,1,1))]. given #1831 (H,wt=13): 1948 K(x,1 / x) * (1 / (1 / x)) = x. [para(1944(a,1),16(a,1,1))]. given #1832 (H,wt=12): 1958 L(x,1 / x,x) = 1 / (1 / x). [hyper(523,a,1948,a)]. given #1833 (H,wt=13): 1950 ((x \ 1) * x) \ (x \ 1) = 1 / x. [para(1945(a,1),63(a,1,1))]. given #1834 (H,wt=12): 1960 L(x \ 1,x,x \ 1) = 1 / x. [hyper(346,a,1950,a)]. given #1835 (H,wt=13): 1953 T(x,x \ 1) / x = K(x,x \ 1). [para(1949(a,1),1186(a,1,1)),flip(a)]. given #1836 (H,wt=13): 1954 x * K(x \ 1,x) = 1 / (1 / x). [para(1946(a,1),14(a,1,2))]. given #1837 (H,wt=12): 1968 L(x,x \ 1,x) = 1 / (1 / x). [hyper(728,a,1954,a)]. given #1838 (H,wt=13): 1964 K(x,x \ 1) * x = T(x,x \ 1). [para(1953(a,1),16(a,1,1))]. given #1839 (H,wt=13): 1966 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(106(a,1),1953(a,1,1))]. given #1840 (H,wt=13): 1967 K(x \ 1,x) * x = 1 / (1 / x). [hyper(1380,a,1954,a)]. given #1841 (H,wt=13): 1974 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(199,a,106,a(flip),b,1964,a)]. given #1842 (H,wt=15): 1942 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(1941(a,1),16(a,1,1))]. given #1843 (H,wt=9): 1982 K(1 / x,K(y,x)) = 1. [hyper(67,a,1942,a,b,85,a),flip(a)]. given #1844 (H,wt=9): 1983 K(x,K(y,x \ 1)) = 1. [para(60(a,1),1982(a,1,1))]. given #1845 (H,wt=9): 1984 T(x,K(y,x \ 1)) = x. [hyper(37,a,1983,a)]. given #1846 (H,wt=11): 1981 T(1 / x,K(y,x)) = 1 / x. [hyper(188,a,1942,a)]. given #1847 (H,wt=13): 1986 T(x \ 1,K(y,x)) = T(1 / x,x). [para(1981(a,1),167(a,1,1)),flip(a)]. given #1848 (H,wt=11): 1988 T(x \ 1,K(y,x)) = x \ 1. [hyper(199,a,107,a(flip),b,1986,a)]. given #1849 (H,wt=15): 1952 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1949(a,1),38(a,1,1)),flip(a)]. given #1850 (H,wt=11): 1991 T(x,1 / x) = T(x,x \ 1). [para(171(a,1),1952(a,1,1)),flip(a)]. given #1851 (H,wt=11): 1993 T(x,1 / x) = (x \ 1) \ 1. [hyper(199,a,106,a(flip),b,1991,a)]. given #1852 (H,wt=12): 1994 R(x,1 / x,x) = T(x,x \ 1). [hyper(199,a,694,a,b,1991,a(flip)),flip(a)]. given #1853 (H,wt=13): 1996 T(x,x \ 1) / x = K(x,1 / x). [para(1991(a,1),696(a,1,1))]. given #1854 (H,wt=11): 2000 K(x,1 / x) = K(x,x \ 1). [hyper(199,a,1953,a(flip),b,1996,a(flip))]. given #1855 (H,wt=11): 2001 K(x,x \ 1) = x * (1 / x). [hyper(301,a,2000,a),flip(a)]. given #1856 (H,wt=11): 2004 x \ K(x,x \ 1) = 1 / x. [hyper(68,a,2000,a(flip),b,175,a(flip))]. given #1857 (H,wt=13): 1997 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1993(a,1),696(a,1,1))]. given #1858 (H,wt=13): 2002 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(199,a,1944,a,b,2000,a(flip)),flip(a)]. given #1859 (H,wt=13): 2007 (1 / (1 / x)) * K(x,x \ 1) = x. [para(2000(a,1),758(a,1,2))]. given #1860 (H,wt=13): 2008 K(x,x \ 1) * (1 / (1 / x)) = x. [para(2000(a,1),1948(a,1,1))]. given #1861 (H,wt=13): 2012 K(x,x \ 1) \ 1 = K(1 / x,x). [para(2001(a,2),89(a,1,1))]. given #1862 (H,wt=13): 2022 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(199,a,1028,a(flip),b,1997,a(flip)),flip(a)]. given #1863 (H,wt=13): 2024 K(x,x \ 1) \ x = 1 / (1 / x). [para(2002(a,1),63(a,1,1))]. given #1864 (H,wt=13): 2029 (1 / x) / K(x,1 / x) = x \ 1. [para(2022(a,1),60(a,1,2))]. given #1865 (H,wt=12): 2030 R(1 / x,x,1 / x) = x \ 1. [hyper(571,a,2029,a)]. given #1866 (H,wt=14): 1992 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1876(a,1),1952(a,1,1)),flip(a)]. given #1867 (H,wt=13): 2032 T(x,y / (x * y)) = T(x,x \ 1). [para(146(a,1),1992(a,1,2))]. given #1868 (H,wt=13): 2033 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(199,a,106,a(flip),b,2032,a)]. given #1869 (H,wt=14): 2006 K(x,x \ 1) != y | x * (1 / x) = y. [para(2000(a,1),301(a,1))]. given #1870 (H,wt=14): 2011 K(x,x \ 1) != x * y | 1 / x = y. [para(2001(a,2),19(a,1))]. given #1871 (H,wt=14): 2021 x * (1 / x) != y | K(x,x \ 1) = y. [para(2004(a,1),211(a,1,2)),flip(b)]. given #1872 (H,wt=14): 2036 K(x,1 / x) != y | K(x,x \ 1) = y. [para(175(a,2),2021(a,1))]. given #1873 (H,wt=15): 1985 K(x,y \ 1) * y = y * K(x,y \ 1). [para(1984(a,1),105(a,1,2))]. given #1874 (H,wt=13): 2037 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(199,a,1974,a(flip),b,1985,a(flip))]. given #1875 (H,wt=13): 2038 x * K(x,x \ 1) = T(x,x \ 1). [hyper(199,a,1964,a(flip),b,1985,a(flip))]. given #1876 (H,wt=13): 2039 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(68,a,1974,a(flip),b,1985,a(flip))]. given #1877 (H,wt=15): 2003 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(199,a,575,a,b,2000,a(flip)),flip(a)]. given #1878 (H,wt=15): 2005 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(60(a,1),2000(a,1,2)),flip(a)]. given #1879 (H,wt=15): 2035 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),2033(a,1,2,2))]. given #1880 (H,wt=15): 2040 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(68,a,2033,a,b,2037,a)]. given #1881 (H,wt=15): 2043 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(199,a,667,a,b,2039,a(flip)),flip(a)]. given #1882 (H,wt=16): 1951 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1945(a,2),275(a,1))]. given #1883 (H,wt=16): 1959 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1958(a,1),40(a,2,1))]. given #1884 (H,wt=16): 1965 K(x,x \ 1) * x != y | T(x,x \ 1) = y. [para(1953(a,1),207(a,1,1)),flip(b)]. given #1885 (H,wt=16): 1969 1 / (1 / x) != x * y | K(x \ 1,x) = y. [para(1954(a,1),19(a,1))]. given #1886 (H,wt=16): 1970 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1954(a,1),1360(a,1,1))]. given #1887 (H,wt=16): 1971 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1968(a,1),40(a,2,1))]. given #1888 (H,wt=16): 1973 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(1968(a,1),721(a,1))]. given #1889 (H,wt=16): 1975 T(x,x \ 1) / x != y | K(x,x \ 1) = y. [para(1964(a,1),262(a,1,1)),flip(b)]. given #1890 (H,wt=16): 1977 K(x,x \ 1) * x != y | (x \ 1) \ 1 = y. [para(1964(a,2),352(a,1))]. given #1891 (H,wt=16): 1980 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(1974(a,1),262(a,1,1)),flip(b)]. given #1892 (H,wt=16): 1990 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(1988(a,1),308(a,2,1))]. given #1893 (H,wt=17): 2023 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(63(a,1),1997(a,1,1,1)),flip(a)]. given #1894 (H,wt=15): 2050 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(199,a,1943,a(flip),b,2023,a)]. given #1895 (H,wt=15): 2051 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(2036,a,2050,a)]. given #1896 (H,wt=11): 2052 K(1 / x,x) = K(x \ 1,x). [para(63(a,1),2051(a,1,2))]. given #1897 (H,wt=13): 2053 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(199,a,2012,a,b,2052,a(flip)),flip(a)]. given #1898 (H,wt=13): 2054 x * K(1 / x,x) = 1 / (1 / x). [para(2052(a,2),1954(a,1,2))]. given #1899 (H,wt=17): 2031 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(2030(a,1),316(a,1,1)),flip(a)]. given #1900 (H,wt=17): 2048 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(69,a,1971,a(flip),b,173,a)]. given #1901 (H,wt=18): 1972 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1968(a,1),44(a,1,1)),flip(a)]. given #1902 (H,wt=18): 1989 ((x \ 1) * K(y,x)) / (x \ 1) != z | K(y,x) = z. [para(1988(a,1),264(a,1,2)),flip(b)]. given #1903 (H,wt=14): 2057 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(185(a,2),1989(a,1))]. given #1904 (H,wt=18): 1999 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1994(a,1),46(a,1,1)),flip(a)]. given #1905 (H,wt=19): 1995 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1991(a,1),373(a,1,1,2))]. given #1906 (H,wt=19): 1998 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1993(a,1),901(a,1,1,1))]. given #1907 (H,wt=19): 2019 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(2001(a,2),1648(a,1,1,2))]. given #1908 (H,wt=19): 2020 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(2001(a,2),1928(a,2,1))]. given #1909 (H,wt=19): 2059 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(578,a,1995,a),flip(a)]. given #1910 (H,wt=19): 2062 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(2001(a,2),2019(a,2,2))]. given #1911 (H,wt=19): 2064 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(69,a,81,a(flip),b,2062,a)]. given #1912 (H,wt=20): 1979 K(x,x \ 1) * x != y * z | y \ ((x \ 1) \ 1) = z. [para(1966(a,1),327(a,1,1))]. given #1913 (H,wt=20): 2013 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(2001(a,2),101(a,1,2))]. given #1914 (H,wt=20): 2049 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(14(a,1),1990(a,1,1,1))]. given #1915 (H,wt=13): 2066 T(x \ y,K(z,y \ x)) = x \ y. [hyper(199,a,306,a(flip),b,2049,a)]. given #1916 (H,wt=19): 2067 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2066(a,1),105(a,1,2))]. given #1917 (H,wt=21): 2017 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(2001(a,2),1190(a,1,2))]. given #1918 (H,wt=21): 2018 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(2001(a,2),1195(a,1,2))]. given #1919 (H,wt=21): 2044 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2035(a,1),366(a,1,1))]. given #1920 (H,wt=17): 2068 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1094,a,2044,a)]. given #1921 (H,wt=21): 2046 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(199,a,886,a,b,1959,a(flip)),flip(a)]. given #1922 (H,wt=21): 2061 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1998(a,1),107(a,1,1))]. given #1923 (H,wt=21): 2063 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(150(a,1),2059(a,1,1)),flip(a)]. given #1924 (H,wt=15): 2070 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(150(a,1),2063(a,1,1)),flip(a)]. given #1925 (H,wt=19): 2071 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(2070(a,1),1119(a,1,1))]. given #1926 (H,wt=21): 2069 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2046(a,1),14(a,1,2))]. given #1927 (H,wt=21): 2073 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2000(a,1),2069(a,1,1))]. given #1928 (H,wt=22): 1961 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1960(a,1),1304(a,1,1,2)),flip(a)]. given #1929 (H,wt=22): 1962 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1960(a,1),1572(a,2,1,2))]. given #1930 (H,wt=22): 2015 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(2001(a,2),965(a,1,2))]. given #1931 (H,wt=22): 2075 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(2001(a,2),1961(a,2,1))]. given #1932 (H,wt=19): 2076 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(2075(a,1),1962(a,1,2))]. given #1933 (H,wt=13): 2078 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(17,a,12,a(flip),b,2076,a)]. given #1934 (H,wt=13): 2080 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(1367,a,2078,a)]. given #1935 (H,wt=19): 2079 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(2001(a,2),2076(a,2,1))]. given #1936 (H,wt=19): 2082 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),2079(a,1,2,2)),flip(a)]. given #1937 (H,wt=20): 2077 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(17,a,92,a(flip),b,2076,a)]. given #1938 (H,wt=21): 2084 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(32(a,2),2079(a,1,2,2))]. given #1939 (H,wt=22): 2083 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(2079(a,1),19(a,1))]. given #1940 (H,wt=22): 2085 x \ (K(x,x \ 1) * y) != z | K(x,x \ 1) * (x \ y) = z. [para(2079(a,1),254(a,1,2)),flip(b)]. given #1941 (H,wt=23): 2014 (x * y) * (1 / y) != z * K(y,y \ 1) | R(x,y,1 / y) = z. [para(2001(a,2),427(a,2,2))]. given #1942 (H,wt=23): 2058 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1999(a,1),605(a,1,2))]. given #1943 (H,wt=23): 2060 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(63(a,1),1998(a,1,1,1,1)),flip(a)]. given #1944 (H,wt=23): 2072 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(2071(a,1),1127(a,1,1,1))]. given #1945 (H,wt=23): 2074 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2024(a,2),2073(a,1,2,1))]. given #1946 (H,wt=23): 2088 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(2077(a,1),19(a,1)),flip(a)]. given #1947 (H,wt=23): 2089 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(836,a,2072,a)]. given #1948 (H,wt=21): 2091 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(932(a,1),2089(a,1,2,1))]. given #1949 (H,wt=21): 2092 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(2089(a,1),1521(a,1,2))]. given #1950 (H,wt=21): 2093 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(2091(a,1),1804(a,1,1))]. given #1951 (H,wt=17): 2094 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(207,a,2093,a)]. given #1952 (H,wt=19): 2096 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(199,a,2092,a,b,2094,a(flip)),flip(a)]. given #1953 (H,wt=21): 2097 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(2091(a,2),2096(a,1,2))]. given #1954 (H,wt=17): 2098 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2020(a,1),2097(a,1,2))]. given #1955 (H,wt=20): 2099 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2098(a,1),19(a,1))]. given #1956 (H,wt=24): 1955 x * (T(x,y) \ K(x \ 1,x)) != z | T(x,y) \ (1 / (1 / x)) = z. [para(1946(a,1),972(a,1,2,2))]. given #1957 (H,wt=24): 1976 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1964(a,1),92(a,1,1))]. given #1958 (H,wt=24): 1987 K(x,y) * L(1 / y,z,u) != w | L(1 / y,z,u) * K(x,y) = w. [para(1981(a,1),331(a,1,2,1))]. given #1959 (H,wt=24): 2010 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(199,a,1656,a,b,2001,a),flip(a)]. given #1960 (H,wt=24): 2055 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(2031(a,1),126(a,1,1))]. given #1961 (H,wt=24): 2056 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1972(a,1),1614(a,1,1))]. given #1962 (H,wt=24): 2065 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(2064(a,1),337(a,1,1))]. given #1963 (H,wt=24): 2100 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(199,a,2082,a(flip),b,1976,a)]. given #1964 (H,wt=24): 2101 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(2010(a,1),14(a,1,2)),flip(a)]. given #1965 (H,wt=24): 2102 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(199,a,2001,a,b,2055,a)]. given #1966 (H,wt=18): 2103 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1874(a,1),2102(a,1,2))]. given #1967 (H,wt=18): 2104 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2103(a,1),14(a,1,2)),flip(a)]. given #1968 (H,wt=21): 2105 x / (y * x) != z * K(y,y \ 1) | R(y \ 1,y,x) = z. [para(2103(a,1),78(a,1,2)),flip(a),flip(b)]. given #1969 (H,wt=25): 1963 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1960(a,1),888(a,1,2,1))]. given #1970 (H,wt=25): 2009 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(199,a,1926,a,b,2001,a),flip(a)]. given #1971 (H,wt=19): 2107 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1547(a,1),2009(a,1,1)),flip(a)]. given #1972 (H,wt=25): 2034 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2032(a,1),1244(a,2,1))]. given #1973 (H,wt=25): 2106 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1987,a,1963,a)]. given #1974 (H,wt=26): 1956 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1947(a,1),92(a,1,1))]. given #1975 (H,wt=23): 2110 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(916,a,1956,a(flip))]. given #1976 (H,wt=27): 1978 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1964(a,1),391(a,1,1))]. given #1977 (H,wt=27): 2041 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. [para(2038(a,1),391(a,1,1))]. given #1978 (H,wt=17): 2111 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(2041,a,2100,a)]. given #1979 (H,wt=25): 2112 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(2051(a,1),2111(a,1,2)),flip(a)]. given #1980 (H,wt=27): 2042 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(2038(a,1),436(a,1,1,1))]. given #1981 (H,wt=27): 2045 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(2043(a,1),1407(a,1,2,1))]. given #1982 (H,wt=23): 2113 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(2043(a,1),2045(a,2,1))]. given #1983 (H,wt=23): 2114 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(73,a,2113,a)]. given #1984 (H,wt=27): 2086 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(2005(a,1),2079(a,1,2,1))]. given #1985 (H,wt=23): 2115 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(2005(a,1),2086(a,2,1))]. given #1986 (H,wt=23): 2116 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(73,a,2115,a)]. given #1987 (H,wt=27): 2087 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(2051(a,1),2079(a,1,2,1))]. given #1988 (H,wt=27): 2090 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2074(a,1),879(a,1,1))]. given #1989 (H,wt=25): 2118 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(2053(a,1),2090(a,1,2))]. given #1990 (H,wt=23): 2119 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(2053(a,1),2118(a,2,1,2))]. given #1991 (H,wt=21): 2120 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1954(a,1),2119(a,2,1))]. given #1992 (H,wt=28): 2025 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(2007(a,1),101(a,1,2))]. given #1993 (H,wt=28): 2026 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(2007(a,1),102(a,2,2))]. given #1994 (H,wt=28): 2027 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2008(a,1),92(a,1,1))]. given #1995 (H,wt=28): 2028 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(2008(a,1),94(a,2,1))]. given #1996 (H,wt=28): 2081 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(2078(a,1),456(a,1,1))]. given #1997 (H,wt=28): 2109 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2106(a,1),1417(a,1,1))]. given #1998 (H,wt=28): 2121 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(199,a,1645,a(flip),b,2109,a(flip)),flip(a)]. given #1999 (H,wt=28): 2123 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(172(a,2),2121(a,1,1))]. given #2000 (H,wt=29): 1957 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1947(a,1),508(a,1,1))]. given #2001 (H,wt=26): 2124 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(1957,a,2116,a)]. given #2002 (H,wt=30): 905 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(775(a,1),512(a,1,1))]. given #2003 (H,wt=22): 2125 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(199,a,806,a(flip),b,905,a(flip))]. given #2004 (H,wt=22): 2126 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2125(a,1),773(a,1,2))]. given #2005 (H,wt=30): 917 (x * y) * T((x * y) \ (x * z),u) != w * v5 | (x * (y * T(y \ z,u))) / v5 = w. [para(412(a,2),488(a,1,2))]. given #2006 (H,wt=30): 1038 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1035(a,1),26(a,2,1)),flip(a)]. given #2007 (H,wt=30): 1076 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(763(a,1),218(a,1,2))]. given #2008 (H,wt=28): 2129 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(12(a,1),1076(a,1,2,1,2,2))]. given #2009 (H,wt=30): 1088 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) != u | T((1 / (z * x)) * z,y) = u. [para(308(a,1),1087(a,1,1))]. given #2010 (H,wt=30): 1136 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(347(a,1),1126(a,1,1)),flip(a)]. given #2011 (H,wt=25): 2131 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(199,a,396,a(flip),b,1136,a)]. given #2012 (H,wt=23): 2132 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(856(a,1),2131(a,2,2))]. given #2013 (H,wt=30): 1250 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1247(a,2),622(a,1,2))]. given #2014 (H,wt=28): 2134 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1129(a,1),1250(a,1,1))]. given #2015 (H,wt=27): 2135 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(976(a,1),2134(a,1,1))]. given #2016 (H,wt=27): 2136 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1247(a,1),2135(a,1,2))]. given #2017 (H,wt=27): 2137 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(199,a,40,a,b,2136,a(flip)),flip(a)]. given #2018 (H,wt=19): 2138 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1230(a,1),2137(a,1,1))]. given #2019 (H,wt=20): 2139 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(199,a,976,a,b,2138,a(flip)),flip(a)]. given #2020 (H,wt=18): 2141 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(199,a,1251,a(flip),b,2139,a(flip))]. given #2021 (H,wt=20): 2140 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2138(a,1),1628(a,1,2))]. given #2022 (H,wt=30): 1393 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(94(a,2),1305(a,1,2,2,1,2)),flip(a)]. given #2023 (H,wt=28): 2142 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(631(a,1),1393(a,1,1)),flip(a)]. given #2024 (H,wt=30): 1565 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(1534(a,2),155(a,2)),flip(a)]. given #2025 (H,wt=30): 1591 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1590(a,1),255(a,1,2))]. given #2026 (H,wt=30): 1630 (x * y) * z != x * T(y,(x * y) \ x) | K(((x * y) \ x) \ 1,(x * y) \ x) = z. [para(1232(a,1),19(a,1)),flip(a)]. given #2027 (H,wt=30): 1677 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(1670(a,2),155(a,2)),flip(a)]. given #2028 (H,wt=30): 1712 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1710(a,1),1510(a,1,1))]. given #2029 (H,wt=30): 1902 (x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u. [para(1897(a,2),155(a,2)),flip(a)]. given #2030 (H,wt=30): 2047 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1970(a,1),531(a,1,1,1)),flip(a)]. given #2031 (H,wt=27): 2143 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(199,a,432,a(flip),b,2047,a)]. given #2032 (H,wt=27): 2144 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(902,a,2143,a)]. given #2033 (H,wt=25): 2145 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1946(a,1),2144(a,1,2,2,1,2))]. given #2034 (H,wt=23): 2146 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(247(a,1),2145(a,1,2,2,1))]. given #2035 (H,wt=21): 2147 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(164(a,1),2146(a,1,2)),flip(a)]. given #2036 (H,wt=12): 2148 T(x,L(x \ 1,y,z) * x) = x. [hyper(188,a,2147,a)]. given #2037 (H,wt=15): 2149 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(306(a,1),2148(a,1,2,1))]. given #2038 (H,wt=19): 2150 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(63(a,1),2149(a,1,2,1))]. given #2039 (H,wt=20): 2151 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2150(a,1),688(a,1,1))]. given #2040 (H,wt=29): 2152 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2151(a,1),1510(a,1,1))]. given #2041 (H,wt=23): 2153 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1585(a,1),2152(a,1,2))]. given #2042 (H,wt=17): 2154 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(336,a,2153,a)]. given #2043 (H,wt=26): 2155 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1014(a,1),2154(a,1,2,1)),flip(a)]. given #2044 (H,wt=24): 2156 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(167(a,1),2155(a,2,2))]. given #2045 (H,wt=21): 2157 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1014(a,1),2156(a,1,2))]. given #2046 (H,wt=30): 2117 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(356(a,1),2087(a,1,2,2)),flip(a)]. given #2047 (H,wt=30): 2127 (x * y) * T((x * y) \ z,u) != w * v5 | (x * (y * T(y \ (x \ z),u))) / v5 = w. [para(14(a,1),917(a,1,2,1,2))]. given #2048 (H,wt=30): 2128 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(199,a,1195,a(flip),b,1038,a(flip)),flip(a)]. given #2049 (H,wt=23): 2159 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(640(a,1),2128(a,1,2)),flip(a)]. given #2050 (H,wt=25): 2160 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2159(a,2),2048(a,1,2))]. given #2051 (H,wt=30): 2130 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(14(a,1),1076(a,1,2,1,2,2))]. given #2052 (H,wt=30): 2158 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1408(a,1),2117(a,2,2))]. given #2053 (H,wt=29): 2161 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(199,a,176,a(flip),b,2158,a)]. given #2054 (H,wt=25): 2162 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(2051(a,1),2161(a,1,1)),flip(a)]. given #2055 (H,wt=31): 1100 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(172(a,2),784(a,1,1))]. given #2056 (H,wt=31): 1329 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1270(a,1),1324(a,1,2,1,1))]. given #2057 (H,wt=27): 2165 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1706(a,1),1329(a,1,2,1))]. given #2058 (H,wt=21): 2166 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1271(a,1),2165(a,1,2)),flip(a)]. given #2059 (H,wt=26): 2167 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2166(a,1),1712(a,1,2))]. given #2060 (H,wt=22): 2168 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(336,a,2167,a)]. given #2061 (H,wt=22): 2169 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(199,a,42,a,b,2168,a(flip)),flip(a)]. given #2062 (H,wt=22): 2170 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(199,a,42,a,b,2169,a)]. given #2063 (H,wt=22): 2171 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2157(a,2),2170(a,1,1))]. given #2064 (H,wt=31): 1389 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(784(a,1),1303(a,1,1))]. given #2065 (H,wt=29): 2172 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1389(a,1,1,2,2,1,2)),flip(a)]. given #2066 (H,wt=31): 1390 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(199,a,1328,a,b,1305,a(flip)),flip(a)]. given #2067 (H,wt=19): 2173 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(56(a,1),1390(a,1,1)),flip(a)]. given #2068 (H,wt=17): 2174 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(105(a,1),2173(a,1,1))]. given #2069 (H,wt=17): 2176 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(13(a,1),2174(a,1,1,1)),flip(a)]. given #2070 (H,wt=20): 2177 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2174(a,1),20(a,1))]. given #2071 (H,wt=20): 2178 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2176(a,2),20(a,1))]. given #2072 (H,wt=31): 1586 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(35,a,1580,a)]. given #2073 (H,wt=31): 1589 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(32(a,2),1536(a,1,1))]. given #2074 (H,wt=29): 2181 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(32(a,2),1589(a,1,2,1,1)),flip(a)]. given #2075 (H,wt=29): 2182 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(889(a,1),2181(a,1,2))]. given #2076 (H,wt=27): 2183 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1591,a,2182,a),flip(a)]. given #2077 (H,wt=27): 2184 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(13(a,1),2183(a,1,2,1,2)),flip(a)]. given #2078 (H,wt=23): 2185 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [para(15(a,1),2184(a,1,1,2,1,2)),flip(a)]. given #2079 (H,wt=25): 2186 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(150(a,1),2184(a,1,1,2,1,2)),flip(a)]. given #2080 (H,wt=23): 2187 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(131(a,1),2186(a,1,2,1,2))]. given #2081 (H,wt=24): 2188 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(199,a,304,a(flip),b,2187,a(flip))]. given #2082 (H,wt=24): 2189 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(646(a,1),2187(a,2,1,2))]. given #2083 (H,wt=23): 2192 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(942(a,1),2189(a,1,2))]. given #2084 (H,wt=21): 2193 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(128(a,1),2192(a,2,1,2))]. given #2085 (H,wt=17): 2194 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(17,a,1928,a,b,2193,a)]. given #2086 (H,wt=21): 2197 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2194(a,1),945(a,1,1))]. given #2087 (H,wt=19): 2198 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(337,a,2197,a),flip(a)]. given #2088 (H,wt=17): 2199 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(199,a,940,a(flip),b,2198,a)]. given #2089 (H,wt=20): 2200 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2198(a,2),941(a,1))]. given #2090 (H,wt=23): 2195 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(154,a,2194,a,b,14,a),flip(a)]. given #2091 (H,wt=26): 2196 (T(x,y) \ x) / x != (T(x,y) \ x) * z | T(1 / x,T(x,y) \ x) = z. [para(2194(a,1),155(a,2)),flip(a)]. given #2092 (H,wt=28): 2191 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(856(a,1),2188(a,2,2,1))]. given #2093 (H,wt=23): 2202 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1766(a,1),2191(a,1,1)),flip(a)]. given #2094 (H,wt=23): 2203 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(199,a,2107,a,b,2202,a)]. given #2095 (H,wt=15): 2204 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(17,a,2001,a(flip),b,2203,a)]. given #2096 (H,wt=15): 2205 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2204(a,1),14(a,1,2))]. given #2097 (H,wt=26): 2207 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2204(a,2),2021(a,1,2))]. given #2098 (H,wt=22): 2208 T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2202(a,1),2207(a,1))]. given #2099 (H,wt=27): 2206 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(181(a,1),2204(a,1,2))]. given #2100 (H,wt=19): 2209 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1188(a,1),2206(a,1,1))]. given #2101 (H,wt=15): 2210 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(1837,a,2209,a),flip(a)]. given #2102 (H,wt=15): 2211 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(106(a,1),2210(a,1,2,1))]. given #2103 (H,wt=15): 2212 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(241(a,1),2210(a,1,2,1)),flip(a)]. given #2104 (H,wt=15): 2213 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(2211(a,1),63(a,1,1))]. given #2105 (H,wt=15): 2214 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(63(a,1),2211(a,1,2,1,1))]. given #2106 (H,wt=15): 2215 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2212(a,1),60(a,1,2))]. given #2107 (H,wt=15): 2216 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(63(a,1),2213(a,2,1,1))]. given #2108 (H,wt=17): 2217 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2213(a,2),105(a,1,2))]. given #2109 (H,wt=13): 2224 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(635,a,2217,a)]. given #2110 (H,wt=13): 2229 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(199,a,106,a,b,2224,a)]. given #2111 (H,wt=15): 2228 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(199,a,2037,a,b,2224,a)]. given #2112 (H,wt=13): 2231 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2099,a,2228,a)]. given #2113 (H,wt=9): 2232 T(x,K(y,y \ 1)) = x. [hyper(35,a,2231,a)]. given #2114 (H,wt=9): 2240 T(x,K(y,1 / y)) = x. [para(2000(a,2),2232(a,1,2))]. given #2115 (H,wt=9): 2241 T(x,K(y \ 1,y)) = x. [para(2005(a,1),2232(a,1,2))]. given #2116 (H,wt=12): 2239 T(x,K(y,y \ 1)) != z | z = x. [para(2232(a,1),338(a,1,1))]. given #2117 (H,wt=13): 2247 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(35,a,2241,a)]. given #2118 (H,wt=13): 2254 T((x \ 1) * x,y) = K(x \ 1,x). [para(172(a,1),2247(a,1,1))]. given #2119 (H,wt=15): 2230 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(185(a,1),2224(a,1,2,1))]. given #2120 (H,wt=13): 2255 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(199,a,2068,a(flip),b,2230,a(flip)),flip(a)]. given #2121 (H,wt=13): 2257 T(x,y / (y * x)) = T(x,x \ 1). [hyper(199,a,106,a,b,2255,a)]. given #2122 (H,wt=15): 2234 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2231(a,1),105(a,1,2)),flip(a)]. given #2123 (H,wt=15): 2243 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2178,a,2240,a),flip(a)]. given #2124 (H,wt=15): 2246 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2178,a,2241,a),flip(a)]. given #2125 (H,wt=15): 2253 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(199,a,1817,a,b,2247,a(flip)),flip(a)]. given #2126 (H,wt=15): 2258 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(14(a,1),2255(a,1,2,2))]. given #2127 (H,wt=17): 2218 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(107(a,1),2213(a,1,1,1)),flip(a)]. given #2128 (H,wt=17): 2221 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(107(a,1),2215(a,1,2,2)),flip(a)]. given #2129 (H,wt=17): 2227 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(943,a,2224,a)]. given #2130 (H,wt=17): 2233 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(68,a,2231,a(flip),b,2020,a)]. given #2131 (H,wt=17): 2271 T(x,y) \ K(x \ 1,x) = T(T(x,y) \ 1,x). [hyper(68,a,2253,a(flip),b,1047,a(flip))]. given #2132 (H,wt=17): 2272 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(15(a,1),2258(a,1,2))]. given #2133 (H,wt=17): 2273 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(60(a,1),2258(a,1,2))]. given #2134 (H,wt=17): 2277 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2227(a,1),14(a,1,2))]. given #2135 (H,wt=18): 2235 x * K(y,y \ 1) != z * x | K(y,y \ 1) = z. [para(2231(a,1),156(a,1,2)),flip(b)]. given #2136 (H,wt=18): 2236 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2231(a,1),215(a,1,2))]. given #2137 (H,wt=18): 2237 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2231(a,1),217(a,1,1))]. given #2138 (H,wt=16): 2280 (x \ 1) \ 1 != y | x * K(x,x \ 1) = y. [para(1974(a,1),2237(a,1))]. given #2139 (H,wt=18): 2244 K(x,1 / x) * y != z | y * K(x,1 / x) = z. [para(2240(a,1),215(a,1,2))]. given #2140 (H,wt=18): 2245 x * K(y,1 / y) != z | K(y,1 / y) * x = z. [para(2240(a,1),217(a,1,1))]. given #2141 (H,wt=18): 2249 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2241(a,1),156(a,1,2))]. given #2142 (H,wt=18): 2250 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2241(a,1),215(a,1,2))]. given #2143 (H,wt=18): 2251 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2241(a,1),217(a,1,1))]. given #2144 (H,wt=19): 2225 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(107(a,1),2217(a,1,2,1,1)),flip(a)]. given #2145 (H,wt=19): 2259 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2257(a,1),105(a,1,2))]. given #2146 (H,wt=19): 2265 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(199,a,997,a(flip),b,2246,a)]. given #2147 (H,wt=19): 2266 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(21,a,2246,a)]. given #2148 (H,wt=19): 2274 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2218(a,1),150(a,1,1,2))]. given #2149 (H,wt=19): 2275 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2221(a,1),105(a,1,2)),flip(a)]. given #2150 (H,wt=19): 2276 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2221(a,1),150(a,1,1,2))]. given #2151 (H,wt=19): 2279 x * (T(x,y) \ K(x \ 1,x)) = (T(x,y) \ 1) * x. [para(2271(a,2),105(a,1,2))]. given #2152 (H,wt=17): 2291 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(1955,a,2279,a)]. given #2153 (H,wt=19): 2286 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(13(a,1),2274(a,1,1,2,1,1))]. given #2154 (H,wt=19): 2289 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2276(a,1,1,2,2,2))]. given #2155 (H,wt=20): 2219 x * ((T(y,x) \ 1) \ 1) != z | ((y \ 1) \ 1) * x = z. [para(2213(a,2),215(a,1,2))]. given #2156 (H,wt=20): 2252 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [para(2241(a,1),1594(a,2,1))]. given #2157 (H,wt=21): 2220 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(1973,a,2215,a)]. given #2158 (H,wt=21): 2260 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(199,a,2017,a(flip),b,2234,a)]. given #2159 (H,wt=21): 2292 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(2083,a,2260,a)]. given #2160 (H,wt=21): 2293 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(2237,a,2292,a)]. given #2161 (H,wt=22): 2269 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2246(a,2),245(a,1,1))]. given #2162 (H,wt=22): 2281 x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z. [para(997(a,1),2251(a,1))]. given #2163 (H,wt=22): 2283 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2265(a,1),2250(a,1))]. given #2164 (H,wt=22): 2284 x * (y * K(z \ 1,z)) != x * u | K(z \ 1,z) * y = u. [para(2266(a,1),19(a,1))]. given #2165 (H,wt=22): 2287 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2274(a,1),207(a,1,1)),flip(b)]. given #2166 (H,wt=22): 2290 (1 / (1 / (x / y))) * y != z | y * (1 / (1 / (y \ x))) = z. [para(2276(a,1),207(a,1,1)),flip(b)]. given #2167 (H,wt=23): 2222 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2215(a,1),1528(a,1,1,1,2))]. given #2168 (H,wt=17): 2296 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(150(a,1),2222(a,1,1))]. given #2169 (H,wt=24): 2223 T(1 / (1 / x),y) != T(x,y) * z | K(T(x,y) \ 1,T(x,y)) = z. [para(2215(a,1),1969(a,1))]. given #2170 (H,wt=24): 2278 (T(x,y) \ 1) * ((x \ 1) \ 1) != z * u | (T(x,y) \ x) / u = z. [para(2227(a,1),324(a,1,2))]. given #2171 (H,wt=26): 2261 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2234(a,2),30(a,2,2)),flip(a)]. given #2172 (H,wt=26): 2298 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2234(a,2),2261(a,1,1))]. given #2173 (H,wt=28): 2262 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2234(a,2),421(a,1,2))]. given #2174 (H,wt=28): 2267 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2246(a,2),421(a,1,2))]. given #2175 (H,wt=29): 2282 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1473(a,1),2265(a,2,2))]. given #2176 (H,wt=29): 2295 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(718,a,2269,a)]. given #2177 (H,wt=22): 2299 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2252(a,1),2295(a,1,1,2))]. given #2178 (H,wt=30): 2190 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(409(a,1),2187(a,2,1,2))]. given #2179 (H,wt=30): 2226 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(448(a,1),2217(a,1,2,1,1)),flip(a)]. given #2180 (H,wt=30): 2288 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(94(a,2),2275(a,2,2,2,2))]. given #2181 (H,wt=30): 2300 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(2290,a,2288,a),flip(a)]. given #2182 (H,wt=31): 1615 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(402(a,1),1593(a,1,2,2)),flip(a)]. given #2183 (H,wt=23): 2301 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(13(a,1),1615(a,2,2))]. given #2184 (H,wt=22): 2302 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). [hyper(199,a,176,a(flip),b,2301,a)]. given #2185 (H,wt=25): 2304 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. [para(2301(a,2),404(a,1))]. given #2186 (H,wt=26): 2305 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. [para(2302(a,2),302(a,1))]. given #2187 (H,wt=31): 1757 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1269(a,1),1756(a,1,1)),flip(a)]. given #2188 (H,wt=25): 2306 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1269(a,1),1757(a,1,2,1)),flip(a)]. given #2189 (H,wt=23): 2307 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(68,a,55,a(flip),b,2306,a),flip(a)]. given #2190 (H,wt=31): 1772 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1771(a,1),1259(a,1,1)),flip(a)]. given #2191 (H,wt=25): 2308 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1771(a,1),1772(a,1,2)),flip(a)]. given #2192 (H,wt=21): 2309 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(199,a,13,a(flip),b,2308,a)]. given #2193 (H,wt=23): 2311 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(845(a,1),2309(a,1,1,2)),flip(a)]. given #2194 (H,wt=17): 2313 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(1089,a,2311,a),flip(a)]. given #2195 (H,wt=25): 2312 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(1212(a,2),2309(a,1,1,2)),flip(a)]. given #2196 (H,wt=13): 2314 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(1214,a,2312,a),flip(a)]. given #2197 (H,wt=17): 2315 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(273,a,2314,a),flip(a)]. given #2198 (H,wt=31): 1773 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1771(a,1),1295(a,1,2)),flip(a)]. given #2199 (H,wt=30): 2316 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(199,a,176,a(flip),b,1773,a)]. given #2200 (H,wt=24): 2317 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1771(a,1),2316(a,1,1)),flip(a)]. given #2201 (H,wt=28): 2318 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1212(a,2),2317(a,1,1)),flip(a)]. given #2202 (H,wt=16): 2319 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1212(a,2),2318(a,1,1,2)),flip(a)]. given #2203 (H,wt=31): 1895 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(268,a,1885,a),flip(a)]. given #2204 (H,wt=27): 2320 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),1895(a,2,2,1,2,1))]. given #2205 (H,wt=27): 2321 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(79,a,2320,a)]. given #2206 (H,wt=25): 2322 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2321(a,1,1,2,1,2,2)),flip(a)]. given #2207 (H,wt=31): 2016 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(2001(a,2),784(a,1,1))]. given #2208 (H,wt=31): 2122 (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. [para(2109(a,1),20(a,1))]. given #2209 (H,wt=31): 2133 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2132(a,1),1261(a,1,1)),flip(a)]. given #2210 (H,wt=23): 2324 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2132(a,1),2133(a,1,2,1)),flip(a)]. given #2211 (H,wt=31): 2163 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(105(a,1),2162(a,1,1)),flip(a)]. given #2212 (H,wt=25): 2325 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(331,a,2163,a),flip(a)]. given #2213 (H,wt=31): 2164 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(172(a,2),1100(a,1,2,1,1))]. given #2214 (H,wt=27): 2326 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(199,a,1397,a(flip),b,2164,a)]. given #2215 (H,wt=31): 2201 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2195(a,1),997(a,2,2,1)),flip(a)]. given #2216 (H,wt=29): 2327 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(167(a,1),2201(a,1,2))]. given #2217 (H,wt=26): 2328 ((T(x,y) \ x) / x) * K(x \ 1,x) != z | (x \ 1) * (T(x,y) \ x) = z. [para(2327(a,1),215(a,1))]. given #2218 (H,wt=31): 2264 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2234(a,1),663(a,1,2))]. given #2219 (H,wt=31): 2294 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(199,a,2060,a(flip),b,2292,a)]. given #2220 (H,wt=27): 2329 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(2051(a,1),2294(a,1,1))]. given #2221 (H,wt=25): 2330 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(896(a,1),2329(a,1,2))]. given #2222 (H,wt=24): 2331 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(199,a,2123,a(flip),b,2330,a(flip)),flip(a)]. given #2223 (H,wt=22): 2332 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(199,a,1662,a(flip),b,2331,a)]. given #2224 (H,wt=19): 2333 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(2122,a,2332,a)]. given #2225 (H,wt=18): 2334 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(199,a,145,a(flip),b,2333,a),flip(a)]. given #2226 (H,wt=17): 2335 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(145(a,1),2334(a,2,2,2)),flip(a)]. given #2227 (H,wt=13): 2337 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(67,a,2335,a(flip),b,1039,a),flip(a)]. given #2228 (H,wt=13): 2338 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(68,a,2337,a(flip),b,2159,a(flip)),flip(a)]. given #2229 (H,wt=13): 2340 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(199,a,106,a,b,2338,a)]. given #2230 (H,wt=15): 2339 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2337(a,1),2160(a,1,2))]. given #2231 (H,wt=13): 2344 T(1 / (1 / x),(y * x) \ y) = x. [hyper(137,a,2339,a)]. given #2232 (H,wt=15): 2341 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(69,a,2338,a(flip),b,1854,a),flip(a)]. given #2233 (H,wt=13): 2347 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(199,a,1966,a(flip),b,2341,a)]. given #2234 (H,wt=13): 2350 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),2347(a,1,2,1))]. given #2235 (H,wt=15): 2342 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(14(a,1),2338(a,1,2,1))]. given #2236 (H,wt=15): 2346 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(14(a,1),2344(a,1,2,1))]. given #2237 (H,wt=15): 2351 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2347(a,2),2053(a,1,1))]. given #2238 (H,wt=15): 2352 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2347(a,2),2231(a,1,1))]. given #2239 (H,wt=15): 2354 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2342(a,2),60(a,1,2))]. given #2240 (H,wt=16): 2348 K(x,(y * x) \ y) != z | K(x,x \ 1) = z. [para(2341(a,2),1980(a,1))]. given #2241 (H,wt=17): 2336 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(73,a,2335,a)]. given #2242 (H,wt=17): 2349 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),2347(a,1,2,1)),flip(a)]. given #2243 (H,wt=11): 2367 T(x,K(y \ z,z \ y)) = x. [para(2349(a,1),2232(a,1,2))]. given #2244 (H,wt=17): 2353 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(199,a,575,a,b,2350,a(flip)),flip(a)]. given #2245 (H,wt=17): 2355 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(63(a,1),2342(a,1,2))]. given #2246 (H,wt=17): 2361 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(13(a,1),2354(a,1,2,2))]. given #2247 (H,wt=17): 2364 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(2006,a,2349,a)]. given #2248 (H,wt=19): 2359 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2342(a,2),2274(a,1,1,2))]. given #2249 (H,wt=15): 2369 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(576,a,2359,a)]. given #2250 (H,wt=17): 2370 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2369(a,1,2))]. given #2251 (H,wt=19): 2368 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2178,a,2367,a),flip(a)]. given #2252 (H,wt=21): 2343 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(85(a,1),2340(a,1,2,1))]. given #2253 (H,wt=17): 2371 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),2343(a,1,2)),flip(a)]. given #2254 (H,wt=15): 2372 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(352,a,2371,a),flip(a)]. given #2255 (H,wt=11): 2373 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(1922,a,2372,a),flip(a)]. given #2256 (H,wt=11): 2376 1 / (1 / K(x,y)) = K(x,y). [para(2373(a,1),123(a,1,2,2))]. given #2257 (H,wt=21): 2357 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2342(a,1),1219(a,1,2)),flip(a)]. given #2258 (H,wt=21): 2365 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(13(a,1),2349(a,2,2))]. given #2259 (H,wt=21): 2366 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1130(a,2),2349(a,2,2)),flip(a)]. given #2260 (H,wt=19): 2378 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(199,a,2349,a(flip),b,2366,a)]. given #2261 (H,wt=22): 2362 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | 1 = z. [para(2336(a,1),210(a,1,2)),flip(a)]. given #2262 (H,wt=24): 2363 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2336(a,1),198(a,1,1))]. given #2263 (H,wt=23): 2379 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(329(a,1),2363(a,2,1))]. given #2264 (H,wt=24): 2377 x * (((x \ y) \ 1) \ 1) != y * z | K((y \ x) \ 1,y \ x) = z. [para(2357(a,1),19(a,1))]. given #2265 (H,wt=25): 2356 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1051(a,2),2342(a,1,1))]. given #2266 (H,wt=25): 2358 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2342(a,2),1821(a,2,1,2,2)),flip(a)]. given #2267 (H,wt=21): 2380 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(199,a,1820,a(flip),b,2358,a(flip))]. given #2268 (H,wt=25): 2360 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1051(a,2),2346(a,1,1,2,2))]. given #2269 (H,wt=21): 2382 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2376(a,1),2360(a,1,1))]. given #2270 (H,wt=15): 2383 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(199,a,2356,a(flip),b,2382,a(flip)),flip(a)]. given #2271 (H,wt=15): 2384 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2383(a,1),60(a,1,2))]. given #2272 (H,wt=25): 2381 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(13(a,1),2380(a,1,1,1)),flip(a)]. given #2273 (H,wt=21): 2385 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(13(a,1),2381(a,1,1,1)),flip(a)]. given #2274 (H,wt=17): 2386 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(13(a,1),2385(a,2,2))]. given #2275 (H,wt=31): 2323 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(2001(a,2),2016(a,1,2,1,1))]. given #2276 (H,wt=27): 2388 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(851(a,1),2323(a,2,2))]. given #2277 (H,wt=19): 2389 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(199,a,1317,a(flip),b,2388,a)]. given #2278 (H,wt=19): 2390 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(636,a,2389,a),flip(a)]. given #2279 (H,wt=19): 2391 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(13(a,1),2389(a,1,2,1)),flip(a)]. given #2280 (H,wt=21): 2393 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(107(a,1),2390(a,2,1))]. given #2281 (H,wt=19): 2395 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(2065,a,2393,a)]. given #2282 (H,wt=19): 2396 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2395(a,1),14(a,1,2))]. given #2283 (H,wt=19): 2398 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2396(a,1,2,1)),flip(a)]. given #2284 (H,wt=21): 2394 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2391(a,2),2084(a,1,2))]. given #2285 (H,wt=19): 2400 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(215,a,2394,a)]. given #2286 (H,wt=10): 2402 L(x,y,K(x,x \ 1)) = x. [hyper(391,a,2400,a)]. given #2287 (H,wt=14): 2403 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(2051(a,1),2402(a,1,3))]. given #2288 (H,wt=18): 2404 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2403(a,1),40(a,2,1))]. given #2289 (H,wt=22): 2401 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2394(a,1),215(a,1))]. given #2290 (H,wt=23): 2392 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2389(a,1),803(a,1,2)),flip(a)]. given #2291 (H,wt=21): 2405 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(383(a,1),2392(a,1,1,1)),flip(a)]. given #2292 (H,wt=19): 2406 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(383(a,1),2405(a,1,1)),flip(a)]. given #2293 (H,wt=21): 2407 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2406(a,2),1409(a,1,2))]. given #2294 (H,wt=19): 2408 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(215,a,2407,a)]. given #2295 (H,wt=10): 2409 L(x,y,K(x \ 1,x)) = x. [hyper(391,a,2408,a)]. given #2296 (H,wt=14): 2410 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2409(a,1),40(a,2,1))]. given #2297 (H,wt=13): 2411 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1774,a,2410,a)]. given #2298 (H,wt=18): 2412 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(890(a,1),2411(a,1,2)),flip(a)]. given #2299 (H,wt=27): 2397 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(63(a,1),2395(a,1,2,2,2)),flip(a)]. given #2300 (H,wt=27): 2399 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(2051(a,1),2398(a,1,2)),flip(a)]. given #2301 (H,wt=30): 2413 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(356(a,1),2397(a,1,1)),flip(a)]. given #2302 (H,wt=30): 2415 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2052(a,1),2413(a,1,2,2))]. given #2303 (H,wt=30): 2416 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2325(a,2),2415(a,1,2))]. given #2304 (H,wt=23): 2417 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(467,a,2416,a),flip(a)]. given #2305 (H,wt=19): 2418 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2051(a,1),2417(a,1,2))]. given #2306 (H,wt=10): 2419 R(x,y,K(x \ 1,x)) = x. [hyper(427,a,2418,a)]. given #2307 (H,wt=14): 2421 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2419(a,1),42(a,2,1))]. given #2308 (H,wt=21): 2422 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2421(a,1),350(a,1,1)),flip(a)]. given #2309 (H,wt=25): 2420 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(932(a,1),2418(a,1,1)),flip(a)]. given #2310 (H,wt=23): 2423 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2422(a,1),2420(a,1,2)),flip(a)]. given #2311 (H,wt=21): 2424 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(1955,a,2423,a(flip)),flip(a)]. given #2312 (H,wt=32): 626 (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(227(a,1),365(a,1,1,1)),flip(a)]. given #2313 (H,wt=27): 2425 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(199,a,431,a(flip),b,626,a)]. given #2314 (H,wt=23): 2426 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(789,a,2425,a)]. given #2315 (H,wt=23): 2427 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(105(a,1),2426(a,1,2)),flip(a)]. given #2316 (H,wt=32): 921 (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. [para(631(a,2),155(a,2))]. given #2317 (H,wt=32): 1060 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1058(a,2),352(a,1,2))]. given #2318 (H,wt=32): 1225 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1220(a,2,2,1,2,2))]. given #2319 (H,wt=28): 2428 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(789,a,1225,a),flip(a)]. given #2320 (H,wt=26): 2429 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(631(a,1),2428(a,2,2))]. given #2321 (H,wt=21): 2430 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(391,a,2429,a)]. given #2322 (H,wt=21): 2433 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(845(a,1),2430(a,1,1))]. given #2323 (H,wt=24): 2431 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(199,a,1047,a(flip),b,2430,a),flip(a)]. given #2324 (H,wt=25): 2432 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(57(a,1),2430(a,2,1,2))]. given #2325 (H,wt=26): 2435 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(359(a,1),2433(a,2,1,2))]. given #2326 (H,wt=26): 2437 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(1855(a,1),2435(a,1,1))]. given #2327 (H,wt=22): 2438 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2352(a,1),2437(a,1,1))]. given #2328 (H,wt=12): 2440 T(x,L(K(y,y \ 1),y,z)) = x. [para(2438(a,2),2241(a,1,2))]. given #2329 (H,wt=24): 2439 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2438(a,2),363(a,1,1)),flip(a)]. given #2330 (H,wt=18): 2442 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(199,a,2365,a(flip),b,2439,a(flip)),flip(a)]. given #2331 (H,wt=28): 2436 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2431(a,1),380(a,1))]. given #2332 (H,wt=32): 1243 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1241(a,1,1,2,2))]. given #2333 (H,wt=28): 2443 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1297(a,1),1243(a,2,1))]. given #2334 (H,wt=26): 2444 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1308(a,1),2443(a,2,1,1))]. given #2335 (H,wt=21): 2445 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(199,a,30,a,b,2444,a),flip(a)]. given #2336 (H,wt=24): 2446 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2444(a,2),436(a,1))]. given #2337 (H,wt=24): 2447 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(199,a,1047,a(flip),b,2445,a),flip(a)]. given #2338 (H,wt=25): 2448 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(57(a,1),2445(a,2,1,2))]. given #2339 (H,wt=25): 2451 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(215,a,2447,a),flip(a)]. given #2340 (H,wt=27): 2450 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(1047(a,1),2446(a,1))]. given #2341 (H,wt=28): 2452 R(x * T(x \ 1,R(x,y,z)),y,z) != u * R(x,y,z) | R(x,y,z) \ 1 = u. [para(2447(a,1),156(a,1)),flip(b)]. given #2342 (H,wt=32): 1265 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(17,a,387,a,b,1260,a)]. given #2343 (H,wt=32): 1469 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(1462(a,1),622(a,1,2))]. given #2344 (H,wt=25): 2453 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(1587,a,1469,a)]. given #2345 (H,wt=29): 2455 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2453(a,1),751(a,1,1)),flip(a)]. given #2346 (H,wt=29): 2456 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(199,a,531,a(flip),b,2455,a)]. given #2347 (H,wt=22): 2457 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(199,a,1548,a(flip),b,2456,a(flip))]. given #2348 (H,wt=32): 1678 (x * y) * R((x * y) \ (z * y),u,w) != v5 * v6 | v5 \ ((x * R(x \ z,u,w)) * y) = v6. [para(1670(a,2),492(a,1))]. given #2349 (H,wt=32): 1898 (x * y) * ((z * ((x * y) \ (u * y))) / z) != y * w | T(x * ((z * (x \ u)) / z),y) = w. [para(1885(a,2),155(a,2)),flip(a)]. given #2350 (H,wt=33): 810 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(68,a,83,a(flip),b,535,a),flip(a)]. given #2351 (H,wt=33): 903 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(470(a,1),402(a,1,2))]. given #2352 (H,wt=33): 1020 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(1014(a,1),656(a,1,1,2))]. given #2353 (H,wt=32): 2459 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(1448(a,1),1020(a,1,1))]. given #2354 (H,wt=27): 2460 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2171(a,1),2459(a,1,1))]. given #2355 (H,wt=24): 2461 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1014(a,1),2460(a,2,1))]. given #2356 (H,wt=27): 2462 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2461(a,2),579(a,1))]. given #2357 (H,wt=33): 1059 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(1013(a,1),1051(a,1,1,2))]. given #2358 (H,wt=26): 2463 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(32(a,2),1059(a,1,1))]. given #2359 (H,wt=25): 2464 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(1777(a,1),2463(a,2,2))]. given #2360 (H,wt=33): 1099 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(780(a,1),1003(a,1,1)),flip(a)]. given #2361 (H,wt=31): 2465 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(780(a,1),1099(a,1,2)),flip(a)]. given #2362 (H,wt=33): 1216 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(1213(a,1),857(a,1,1))]. given #2363 (H,wt=21): 2466 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(199,a,1212,a,b,1216,a)]. given #2364 (H,wt=32): 2467 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2466(a,1),337(a,1,1))]. given #2365 (H,wt=26): 2468 T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2386(a,1),2467(a,1))]. given #2366 (H,wt=33): 1452 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(172(a,2),887(a,1,1))]. given #2367 (H,wt=33): 1819 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(1196(a,2),1816(a,1,2))]. given #2368 (H,wt=30): 2470 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2431(a,1),1819(a,1,1))]. given #2369 (H,wt=28): 2471 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(242(a,1),2470(a,1,1,1))]. given #2370 (H,wt=26): 2472 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1196(a,1),2471(a,1,2))]. given #2371 (H,wt=26): 2473 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(199,a,40,a,b,2472,a(flip)),flip(a)]. given #2372 (H,wt=24): 2474 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1199(a,1),2473(a,2,1))]. given #2373 (H,wt=17): 2475 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2247(a,1),2474(a,1,1))]. given #2374 (H,wt=22): 2476 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2475(a,1),92(a,1,2))]. given #2375 (H,wt=25): 2478 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2476(a,1),19(a,1)),flip(a)]. given #2376 (H,wt=33): 1858 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(542(a,1),1674(a,2,2,1))]. given #2377 (H,wt=31): 2479 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(86(a,1),1858(a,1,1))]. given #2378 (H,wt=29): 2480 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(86(a,1),2479(a,1,2,1,1))]. given #2379 (H,wt=33): 1903 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1897(a,1),1888(a,1,2)),flip(a)]. given #2380 (H,wt=33): 2414 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2194(a,1),2399(a,2,1))]. given #2381 (H,wt=29): 2481 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(2328,a,2414,a(flip)),flip(a)]. given #2382 (H,wt=25): 2482 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(2051(a,1),2481(a,1,2,2))]. given #2383 (H,wt=23): 2483 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2424(a,1),2482(a,1,2))]. given #2384 (H,wt=21): 2484 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2291(a,1),2483(a,1,2))]. given #2385 (H,wt=15): 2485 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2200,a,2484,a),flip(a)]. given #2386 (H,wt=15): 2486 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(68,a,2199,a(flip),b,2484,a(flip))]. given #2387 (H,wt=13): 2488 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(199,a,1836,a(flip),b,2486,a(flip)),flip(a)]. given #2388 (H,wt=13): 2489 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(199,a,2384,a,b,2488,a(flip)),flip(a)]. given #2389 (H,wt=13): 2494 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2489(a,1),125(a,1,2,1))]. given #2390 (H,wt=19): 2487 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(237,a,2485,a),flip(a)]. given #2391 (H,wt=19): 2491 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(107(a,1),2488(a,1,1,2)),flip(a)]. given #2392 (H,wt=17): 2495 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(107(a,1),2491(a,1,1)),flip(a)]. given #2393 (H,wt=19): 2492 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(638(a,1),2488(a,1,1))]. given #2394 (H,wt=19): 2497 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(199,a,2487,a(flip),b,2492,a)]. given #2395 (H,wt=21): 2496 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2495(a,1,1,2)),flip(a)]. given #2396 (H,wt=17): 2498 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),2496(a,1,1)),flip(a)]. given #2397 (H,wt=17): 2499 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2498(a,1),60(a,1,2))]. given #2398 (H,wt=20): 2500 1 / (x \ ((y * x) / y)) != z | ((y * x) / y) \ x = z. [para(2498(a,1),261(a,1,2)),flip(b)]. given #2399 (H,wt=22): 2493 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1554(a,1),2488(a,1,1,2)),flip(a)]. given #2400 (H,wt=18): 2501 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),2493(a,2,1))]. given #2401 (H,wt=25): 2490 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(42(a,2),2488(a,1,1,2))]. given #2402 (H,wt=25): 2503 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(42(a,2),2490(a,2,1))]. given #2403 (H,wt=33): 2458 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(172(a,2),903(a,1,2,1,1))]. given #2404 (H,wt=33): 2469 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(172(a,2),1452(a,1,2,1,1))]. given #2405 (H,wt=33): 2504 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(199,a,1561,a(flip),b,2458,a)]. given #2406 (H,wt=29): 2506 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(895(a,1),2504(a,2,1))]. given #2407 (H,wt=33): 2505 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(199,a,1671,a(flip),b,2469,a)]. given #2408 (H,wt=29): 2507 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1268(a,1),2505(a,2,1))]. given #2409 (H,wt=34): 733 (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(227(a,1),539(a,1,1,1)),flip(a)]. given #2410 (H,wt=29): 2508 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(199,a,433,a(flip),b,733,a)]. given #2411 (H,wt=25): 2509 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1095,a,2508,a)]. given #2412 (H,wt=28): 2510 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1346(a,1),2509(a,2,1,1))]. given #2413 (H,wt=34): 893 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(847(a,1),459(a,1,1,1))]. given #2414 (H,wt=34): 2179 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) != z | T(x,y) * ((T(x,y) / x) \ (1 / x)) = z. [para(1586(a,1),338(a,1,1)),flip(b)]. given #2415 (H,wt=34): 2263 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2234(a,2),536(a,1,1))]. given #2416 (H,wt=27): 2511 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2264,a,2263,a),flip(a)]. given #2417 (H,wt=35): 1005 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(1003(a,1),552(a,1,1,2)),flip(a)]. given #2418 (H,wt=35): 1098 (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(778(a,2),155(a,2))]. given #2419 (H,wt=35): 1276 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(1270(a,1),552(a,1,1,2)),flip(a)]. given #2420 (H,wt=35): 1730 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1729(a,1),1425(a,1,2,1,2))]. given #2421 (H,wt=23): 2512 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),1730(a,1,2,1)),flip(a)]. given #2422 (H,wt=35): 1779 (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(1193(a,1),528(a,1,1))]. given #2423 (H,wt=31): 2513 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(14(a,1),1779(a,1,2,1)),flip(a)]. given #2424 (H,wt=35): 2180 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1050(a,2),1586(a,2,2,1))]. given #2425 (H,wt=31): 2515 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(2179,a,2180,a),flip(a)]. given #2426 (H,wt=27): 2516 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1840(a,1),2515(a,1,2))]. given #2427 (H,wt=25): 2517 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(199,a,1805,a(flip),b,2516,a(flip))]. given #2428 (H,wt=24): 2518 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2517(a,1),2207(a,1))]. given #2429 (H,wt=35): 2434 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(15(a,1),2433(a,2,1,2))]. given #2430 (H,wt=26): 2519 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1573(a,1),2434(a,1,1,2)),flip(a)]. given #2431 (H,wt=24): 2520 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(52(a,1),2519(a,2,1))]. given #2432 (H,wt=21): 2521 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(199,a,284,a(flip),b,2520,a)]. given #2433 (H,wt=23): 2524 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2521(a,1),221(a,1,2)),flip(a)]. given #2434 (H,wt=21): 2525 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(199,a,12,a(flip),b,2524,a)]. given #2435 (H,wt=24): 2526 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2525(a,1),20(a,1)),flip(a)]. given #2436 (H,wt=36): 1551 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(1270(a,1),1545(a,2,2,1))]. given #2437 (H,wt=34): 2527 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(1694(a,1),1551(a,1,2,1))]. given #2438 (H,wt=24): 2528 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(15(a,1),2527(a,1,2)),flip(a)]. given #2439 (H,wt=24): 2529 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2528(a,1),14(a,1,2)),flip(a)]. given #2440 (H,wt=27): 2531 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2528(a,1),211(a,1,2)),flip(b)]. given #2441 (H,wt=27): 2532 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2529(a,2),254(a,1,2)),flip(b)]. given #2442 (H,wt=37): 1061 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(375(a,1),1058(a,1,1,2,2,1))]. given #2443 (H,wt=35): 2533 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(1839(a,1),1061(a,1,1,2))]. given #2444 (H,wt=29): 2534 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(854(a,1),2533(a,1,1,2)),flip(a)]. given #2445 (H,wt=23): 2535 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(860(a,1),2534(a,2,1))]. given #2446 (H,wt=19): 2536 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(375(a,1),2535(a,1,1))]. given #2447 (H,wt=17): 2537 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2518,a,2536,a)]. given #2448 (H,wt=37): 1526 (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(1270(a,1),1525(a,1,1,2,1))]. given #2449 (H,wt=37): 1769 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1768(a,1),752(a,1,2,1))]. given #2450 (H,wt=36): 2539 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(682(a,1),1769(a,2,1))]. given #2451 (H,wt=34): 2540 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(199,a,2465,a(flip),b,2539,a)]. given #2452 (H,wt=37): 1770 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1768(a,1),1543(a,2,2,1)),flip(a)]. given #2453 (H,wt=35): 2541 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1435(a,1),1770(a,2,2,1))]. given #2454 (H,wt=27): 2542 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(15(a,1),2541(a,2,2))]. given #2455 (H,wt=22): 2543 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(199,a,2540,a(flip),b,2542,a(flip)),flip(a)]. given #2456 (H,wt=22): 2545 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2543(a,1),14(a,1,2))]. given #2457 (H,wt=37): 2285 (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(2266(a,2),597(a,1,2))]. given #2458 (H,wt=38): 1679 (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(609(a,1),1670(a,1,2,1)),flip(a)]. given #2459 (H,wt=32): 2546 (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(199,a,397,a(flip),b,1679,a)]. given #2460 (H,wt=30): 2547 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(165(a,1),2546(a,2,2))]. given #2461 (H,wt=39): 1778 (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(1777(a,1),159(a,1,2,1))]. given #2462 (H,wt=32): 2548 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1746(a,1),1778(a,1,2))]. given #2463 (H,wt=23): 2549 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(679,a,2548,a),flip(a)]. given #2464 (H,wt=17): 2550 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(199,a,2464,a(flip),b,2549,a(flip)),flip(a)]. given #2465 (H,wt=13): 2551 K(x,y / (x * y)) = K(x,x \ 1). [hyper(199,a,2040,a(flip),b,2550,a(flip))]. given #2466 (H,wt=17): 2553 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(16(a,1),2551(a,1,2,2)),flip(a)]. given #2467 (H,wt=39): 1783 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1578(a,1),1781(a,1,2,1,1)),flip(a)]. given #2468 (H,wt=32): 2554 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1578(a,1),1783(a,2,1))]. given #2469 (H,wt=26): 2555 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(199,a,1269,a(flip),b,2554,a)]. given #2470 (H,wt=20): 2557 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1269(a,1),2555(a,1,1))]. given #2471 (H,wt=20): 2558 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(35,a,2557,a)]. given #2472 (H,wt=40): 1097 (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),774(a,1,1))]. given #2473 (H,wt=37): 2559 (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),1097(a,1,2,1,1))]. given #2474 (H,wt=33): 2560 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1095,a,2559,a),flip(a)]. given #2475 (H,wt=31): 2561 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(774(a,1),2560(a,2,2))]. given #2476 (H,wt=26): 2562 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(391,a,2561,a),flip(a)]. given #2477 (H,wt=32): 2563 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(199,a,1005,a(flip),b,2562,a(flip))]. given #2478 (H,wt=29): 2564 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1584(a,1),2563(a,1,1,2)),flip(a)]. given #2479 (H,wt=27): 2565 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(199,a,2432,a(flip),b,2564,a)]. given #2480 (H,wt=17): 2566 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(18,a,172,a(flip),b,2565,a)]. given #2481 (H,wt=21): 2567 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(63(a,1),2566(a,1,1))]. given #2482 (H,wt=19): 2568 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(896(a,1),2567(a,1,2))]. given #2483 (H,wt=19): 2569 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2568(a,1),16(a,1,1))]. given #2484 (H,wt=19): 2570 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2526,a,2569,a)]. given #2485 (H,wt=21): 2571 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1487(a,1),2570(a,1,1)),flip(a)]. given #2486 (H,wt=40): 1892 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(444(a,2),1888(a,2,1,2,1)),flip(a)]. given #2487 (H,wt=36): 2572 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(199,a,1888,a(flip),b,1892,a)]. given #2488 (H,wt=41): 2449 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(1273(a,1),2445(a,2,1,2))]. given #2489 (H,wt=39): 2573 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(1353(a,1),2449(a,1,1,2,1))]. given #2490 (H,wt=32): 2574 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(1707(a,1),2573(a,1,1,2)),flip(a)]. given #2491 (H,wt=42): 1477 ((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(101(a,1),913(a,1,2))]. given #2492 (H,wt=39): 2576 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(101(a,1),1477(a,1,1,1,2,2)),flip(a)]. given #2493 (H,wt=39): 2577 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(199,a,751,a(flip),b,2576,a)]. given #2494 (H,wt=35): 2578 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(199,a,1885,a(flip),b,2577,a)]. given #2495 (H,wt=35): 2579 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(751(a,1),2578(a,1,1))]. given #2496 (H,wt=33): 2580 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1897(a,1),2579(a,2,1))]. given #2497 (H,wt=28): 2581 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,101,a,b,2580,a)]. given #2498 (H,wt=23): 2582 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1544,a,2581,a),flip(a)]. given #2499 (H,wt=21): 2584 R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). [para(1543(a,2),2582(a,1,1))]. given #2500 (H,wt=30): 2583 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(14(a,1),2581(a,1,2,1)),flip(a)]. given #2501 (H,wt=30): 2585 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(199,a,2001,a,b,2583,a)]. given #2502 (H,wt=28): 2586 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1270(a,1),2585(a,1,1,2,1))]. given #2503 (H,wt=42): 1517 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),1516(a,1,1)),flip(a)]. given #2504 (H,wt=37): 2587 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(30(a,2),1517(a,2,2,1,1))]. given #2505 (H,wt=33): 2588 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1670(a,1),2587(a,1,1))]. given #2506 (H,wt=31): 2589 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1675(a,1),2588(a,1,1,1))]. given #2507 (H,wt=26): 2590 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(436,a,2589,a),flip(a)]. given #2508 (H,wt=29): 2592 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(551(a,1),2590(a,2,1,2))]. given #2509 (H,wt=24): 2593 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1285,a,2592,a),flip(a)]. given #2510 (H,wt=22): 2594 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(11(a,1),2593(a,1,1,2,1)),flip(a)]. given #2511 (H,wt=32): 2591 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(199,a,1276,a(flip),b,2590,a(flip))]. given #2512 (H,wt=29): 2595 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1710(a,1),2591(a,1,1,2)),flip(a)]. given #2513 (H,wt=17): 2596 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(18,a,2451,a(flip),b,2595,a)]. given #2514 (H,wt=42): 1523 (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),1072(a,1,1))]. given #2515 (H,wt=39): 2597 (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),1523(a,1,2,1,2,1))]. given #2516 (H,wt=35): 2598 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(1076,a,2597,a),flip(a)]. given #2517 (H,wt=33): 2599 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1072(a,1),2598(a,2,2))]. given #2518 (H,wt=28): 2600 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(391,a,2599,a),flip(a)]. given #2519 (H,wt=30): 2601 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(14(a,1),2600(a,1,2,1)),flip(a)]. given #2520 (H,wt=30): 2602 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(199,a,2001,a,b,2601,a)]. given #2521 (H,wt=23): 2603 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1548(a,1),2602(a,1,1))]. given #2522 (H,wt=42): 1537 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(28(a,2),1535(a,1,1)),flip(a)]. given #2523 (H,wt=37): 2604 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(28(a,2),1537(a,2,2,1,1))]. given #2524 (H,wt=37): 2605 (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(889(a,1),2604(a,1,2))]. given #2525 (H,wt=33): 2606 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(13(a,1),2605(a,1,2,2,2,1,2))]. given #2526 (H,wt=31): 2607 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(778(a,1),2606(a,1,2,2))]. given #2527 (H,wt=26): 2608 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(403,a,2607,a),flip(a)]. given #2528 (H,wt=27): 2610 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(646(a,1),2608(a,2,1,2))]. given #2529 (H,wt=26): 2612 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1201(a,1),2610(a,1,2))]. given #2530 (H,wt=24): 2613 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(128(a,1),2612(a,2,1,2))]. given #2531 (H,wt=24): 2614 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(2001(a,2),2613(a,2,1))]. given #2532 (H,wt=29): 2609 L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5. [para(2607(a,1),403(a,1))]. given #2533 (H,wt=34): 2611 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(1468(a,1),2608(a,1,2))]. given #2534 (H,wt=32): 2615 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(12(a,1),2611(a,1,2,2)),flip(a)]. given #2535 (H,wt=27): 2616 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2457(a,1),2615(a,1,1)),flip(a)]. given #2536 (H,wt=27): 2617 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(199,a,2603,a(flip),b,2616,a)]. given #2537 (H,wt=17): 2618 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,2001,a(flip),b,2617,a)]. given #2538 (H,wt=17): 2619 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(199,a,2571,a,b,2618,a(flip)),flip(a)]. given #2539 (H,wt=17): 2620 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2619(a,1),60(a,1,2)),flip(a)]. given #2540 (H,wt=17): 2621 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(60(a,1),2620(a,1,1,2)),flip(a)]. given #2541 (H,wt=16): 2625 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(145(a,1),2621(a,1,2,2)),flip(a)]. given #2542 (H,wt=16): 2629 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(2625(a,2),63(a,1,1))]. given #2543 (H,wt=17): 2624 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2621(a,1),127(a,1,1,1))]. given #2544 (H,wt=17): 2630 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(60(a,1),2624(a,1,1,1,1)),flip(a)]. given #2545 (H,wt=18): 2626 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(306(a,1),2621(a,1,2,2)),flip(a)]. given #2546 (H,wt=18): 2628 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(60(a,1),2625(a,1,1))]. given #2547 (H,wt=18): 2632 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(199,a,1588,a,b,2626,a(flip)),flip(a)]. given #2548 (H,wt=19): 2631 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(199,a,2545,a,b,2626,a(flip)),flip(a)]. given #2549 (H,wt=17): 2634 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(17,a,1954,a,b,2631,a),flip(a)]. given #2550 (H,wt=19): 2636 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2634(a,1),2357(a,1,2))]. given #2551 (H,wt=21): 2622 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(2620(a,1),168(a,1,1))]. given #2552 (H,wt=17): 2637 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(63(a,1),2622(a,2,1))]. given #2553 (H,wt=21): 2633 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2632(a,1),2101(a,1,2)),flip(a)]. given #2554 (H,wt=19): 2639 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2349(a,1),2633(a,1,2))]. given #2555 (H,wt=21): 2635 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(199,a,574,a(flip),b,2634,a)]. given #2556 (H,wt=21): 2638 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(2637(a,1),38(a,1,1)),flip(a)]. given #2557 (H,wt=21): 2640 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2353(a,1),2639(a,1,2))]. given #2558 (H,wt=21): 2641 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2635(a,1),1232(a,1,2))]. given #2559 (H,wt=19): 2643 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2347(a,1),2641(a,1,2))]. given #2560 (H,wt=17): 2644 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2338(a,1),2643(a,2,2))]. given #2561 (H,wt=17): 2645 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2340(a,1),2643(a,2,2))]. given #2562 (H,wt=17): 2647 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2236,a,2644,a)]. given #2563 (H,wt=17): 2648 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(268,a,2644,a),flip(a)]. given #2564 (H,wt=17): 2649 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(199,a,2062,a,b,2644,a(flip)),flip(a)]. given #2565 (H,wt=17): 2652 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2236,a,2645,a)]. given #2566 (H,wt=17): 2653 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(268,a,2645,a),flip(a)]. given #2567 (H,wt=17): 2654 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2401,a,2647,a)]. given #2568 (H,wt=17): 2657 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(69,a,274,a(flip),b,2649,a),flip(a)]. given #2569 (H,wt=19): 2656 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(69,a,2277,a(flip),b,2649,a),flip(a)]. given #2570 (H,wt=13): 2662 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(17,a,1851,a,b,2656,a),flip(a)]. given #2571 (H,wt=17): 2663 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(47(a,1),2662(a,1,2,1)),flip(a)]. given #2572 (H,wt=15): 2665 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(199,a,2537,a(flip),b,2663,a(flip)),flip(a)]. given #2573 (H,wt=20): 2658 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2649(a,1),20(a,1))]. given #2574 (H,wt=20): 2659 (x * K(y,y \ 1)) * y != z * ((y \ 1) \ 1) | z = x. [para(2649(a,2),20(a,2)),flip(a)]. given #2575 (H,wt=20): 2660 x * ((y \ 1) \ 1) != z * y | K(y,y \ 1) * x = z. [para(2654(a,1),20(a,1))]. given #2576 (H,wt=20): 2661 (K(x,x \ 1) * y) * x != z * ((x \ 1) \ 1) | z = y. [para(2654(a,2),20(a,2)),flip(a)]. given #2577 (H,wt=21): 2646 (x * y) * K(y,(z * y) \ z) = x * T(y,(x * y) \ x). [para(2347(a,2),2643(a,1,2))]. given #2578 (H,wt=21): 2666 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(z * y) \ z). [hyper(1630,a,2646,a)]. given #2579 (H,wt=16): 2668 L(K(x,x \ 1),x,y) = K(x,(z * x) \ z). [hyper(199,a,2438,a,b,2666,a(flip)),flip(a)]. given #2580 (H,wt=14): 2670 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(199,a,2347,a(flip),b,2668,a)]. given #2581 (H,wt=17): 2671 K((x * y) \ x,y) = K(y,(z * y) \ z) \ 1. [para(2668(a,1),2442(a,2,1))]. given #2582 (H,wt=13): 2673 K((x * y) \ x,y) = K(y \ 1,y). [hyper(199,a,2351,a(flip),b,2671,a)]. given #2583 (H,wt=13): 2675 K(x \ (x / y),y) = K(y \ 1,y). [para(16(a,1),2673(a,1,1,1))]. given #2584 (H,wt=19): 2676 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(105(a,1),2673(a,1,1,1)),flip(a)]. given #2585 (H,wt=20): 2672 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(2051(a,1),2670(a,1,1))]. given #2586 (H,wt=16): 2679 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(199,a,2051,a(flip),b,2672,a)]. given #2587 (H,wt=17): 2680 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2679(a,1),669(a,1,2))]. given #2588 (H,wt=14): 2681 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1423,a,2680,a)]. given #2589 (H,wt=13): 2685 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(898,a,2681,a),flip(a)]. given #2590 (H,wt=14): 2683 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2680(a,1),1420(a,1,1))]. given #2591 (H,wt=14): 2686 R(x / (1 / y),y \ 1,y) = x * y. [hyper(452,a,2685,a),flip(a)]. given #2592 (H,wt=17): 2682 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2680(a,1),16(a,1,1))]. given #2593 (H,wt=12): 2690 R(x,1 / y,K(y \ 1,y)) = x. [hyper(725,a,2682,a)]. given #2594 (H,wt=14): 2692 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(2003(a,1),2690(a,1,3))]. given #2595 (H,wt=17): 2688 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(60(a,1),2685(a,1,2)),flip(a)]. given #2596 (H,wt=17): 2689 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2251,a,2682,a)]. given #2597 (H,wt=17): 2691 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(268,a,2682,a),flip(a)]. given #2598 (H,wt=17): 2693 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(199,a,2026,a(flip),b,2692,a(flip)),flip(a)]. given #2599 (H,wt=17): 2694 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2692(a,1),2025(a,1,1)),flip(a)]. given #2600 (H,wt=17): 2695 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(199,a,1177,a,b,2691,a(flip)),flip(a)]. given #2601 (H,wt=17): 2696 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(199,a,1183,a(flip),b,2691,a(flip))]. given #2602 (H,wt=17): 2698 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(199,a,2064,a(flip),b,2693,a(flip)),flip(a)]. given #2603 (H,wt=17): 2699 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2236,a,2694,a)]. given #2604 (H,wt=17): 2700 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2695(a,1),16(a,1,1))]. given #2605 (H,wt=17): 2702 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2251,a,2696,a)]. given #2606 (H,wt=18): 2687 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(199,a,516,a(flip),b,2685,a(flip))]. given #2607 (H,wt=19): 2703 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(199,a,2640,a(flip),b,2698,a(flip)),flip(a)]. given #2608 (H,wt=19): 2704 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(68,a,2698,a(flip),b,2640,a(flip)),flip(a)]. given #2609 (H,wt=19): 2707 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [hyper(69,a,2703,a(flip),b,2275,a)]. given #2610 (H,wt=19): 2708 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(60(a,1),2703(a,1,2,2,2,2)),flip(a)]. given #2611 (H,wt=19): 2709 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(60(a,1),2704(a,2,2,2,2))]. given #2612 (H,wt=19): 2710 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2704(a,1),63(a,1,1))]. given #2613 (H,wt=19): 2712 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(60(a,1),2707(a,1,1,2,2)),flip(a)]. given #2614 (H,wt=19): 2713 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2708(a,2,2,2,2))]. given #2615 (H,wt=18): 2717 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2628(a,2),2713(a,1,2))]. given #2616 (H,wt=14): 2718 x / L(y,y \ 1,x) = x * (1 / y). [para(60(a,1),2717(a,2,2,2))]. given #2617 (H,wt=18): 2719 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2718(a,2),574(a,1,1,2))]. given #2618 (H,wt=18): 2720 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(199,a,2430,a,b,2719,a(flip)),flip(a)]. given #2619 (H,wt=19): 2714 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2708(a,1),63(a,1,1))]. given #2620 (H,wt=19): 2715 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(123(a,1),2710(a,1,1,2,2)),flip(a)]. given #2621 (H,wt=19): 2716 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2712(a,1),63(a,1,1)),flip(a)]. given #2622 (H,wt=19): 2723 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2715(a,1),125(a,1,2,1))]. given #2623 (H,wt=17): 2725 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2355(a,2),2723(a,1,2))]. given #2624 (H,wt=17): 2726 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2283,a,2725,a)]. given #2625 (H,wt=17): 2727 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(2281,a,2725,a)]. given #2626 (H,wt=17): 2728 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(73,a,2725,a),flip(a)]. given #2627 (H,wt=17): 2729 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2726(a,1),1415(a,1,1))]. given #2628 (H,wt=17): 2732 (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. [hyper(199,a,2246,a,b,2729,a)]. given #2629 (H,wt=17): 2733 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(15(a,1),2729(a,1,1)),flip(a)]. given #2630 (H,wt=17): 2734 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(562(a,1),2729(a,1,1)),flip(a)]. given #2631 (H,wt=17): 2736 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(562(a,1),2732(a,1,1)),flip(a)]. given #2632 (H,wt=17): 2737 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(18,a,1416,a(flip),b,2733,a)]. given #2633 (H,wt=15): 2740 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2660,a,2737,a)]. given #2634 (H,wt=15): 2741 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(2658,a,2737,a)]. given #2635 (H,wt=15): 2742 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(18,a,2654,a(flip),b,2737,a)]. given #2636 (H,wt=15): 2743 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(18,a,2649,a(flip),b,2737,a)]. given #2637 (H,wt=15): 2745 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(2284,a,2740,a)]. given #2638 (H,wt=15): 2753 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [para(2246(a,2),2741(a,1,1))]. given #2639 (H,wt=15): 2756 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(68,a,2742,a(flip),b,2246,a)]. given #2640 (H,wt=15): 2760 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2251,a,2743,a)]. given #2641 (H,wt=17): 2744 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2246(a,2),2737(a,1,1))]. given #2642 (H,wt=17): 2749 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2682(a,1),2740(a,1,2))]. given #2643 (H,wt=17): 2750 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2696(a,1),2740(a,1,2))]. given #2644 (H,wt=17): 2752 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(18,a,2698,a,b,2741,a)]. given #2645 (H,wt=17): 2754 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2682(a,1),2741(a,1,1))]. given #2646 (H,wt=14): 2774 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(18,a,2013,a,b,2754,a)]. given #2647 (H,wt=17): 2755 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2696(a,1),2741(a,1,1))]. given #2648 (H,wt=17): 2763 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [para(2699(a,1),2745(a,1,2))]. given #2649 (H,wt=17): 2771 (x / (y \ 1)) * (1 / y) = K(y,y \ 1) * x. [para(16(a,1),2749(a,1,2)),flip(a)]. given #2650 (H,wt=18): 2738 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(723,a,2733,a(flip)),flip(a)]. given #2651 (H,wt=17): 2776 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(438,a,2738,a)]. given #2652 (H,wt=18): 2746 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2740(a,1),19(a,1)),flip(a)]. given #2653 (H,wt=18): 2748 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2740(a,1),2284(a,1)),flip(a)]. given #2654 (H,wt=18): 2757 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2742(a,1),20(a,1)),flip(a)]. given #2655 (H,wt=18): 2759 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2742(a,1),2249(a,2))]. given #2656 (H,wt=18): 2762 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2743(a,1),2249(a,2))]. given #2657 (H,wt=18): 2764 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(18,a,2104,a(flip),b,2753,a)]. given #2658 (H,wt=13): 2779 K(x / (y * x),y) = K(y \ 1,y). [hyper(18,a,1881,a,b,2764,a),flip(a)]. given #2659 (H,wt=17): 2780 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2779(a,1,1,2)),flip(a)]. given #2660 (H,wt=18): 2765 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2753(a,1),20(a,1)),flip(a)]. given #2661 (H,wt=19): 2724 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(60(a,1),2723(a,1,2,1,1,2)),flip(a)]. given #2662 (H,wt=19): 2730 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(63(a,1),2728(a,2,2,2,1))]. given #2663 (H,wt=19): 2731 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2728(a,1),105(a,1,2))]. given #2664 (H,wt=19): 2739 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2734(a,1),2700(a,1,1)),flip(a)]. given #2665 (H,wt=19): 2751 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(220,a,2741,a)]. given #2666 (H,wt=19): 2773 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(69,a,2752,a(flip),b,2691,a),flip(a)]. given #2667 (H,wt=19): 2782 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(199,a,2553,a,b,2780,a)]. given #2668 (H,wt=20): 2701 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2695(a,1),2686(a,1,1))]. given #2669 (H,wt=20): 2705 x / (1 / (1 / y)) != z * K(y,y \ 1) | x / y = z. [para(2698(a,1),20(a,1))]. given #2670 (H,wt=20): 2766 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(402(a,1),2753(a,1,1))]. given #2671 (H,wt=21): 2678 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(32(a,1),2676(a,2,2)),flip(a)]. given #2672 (H,wt=21): 2722 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(32(a,2),2714(a,1,1,2,2,2))]. given #2673 (H,wt=21): 2783 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2780(a,2,1))]. given #2674 (H,wt=19): 2788 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(199,a,2551,a(flip),b,2783,a)]. given #2675 (H,wt=17): 2790 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2788(a,1),2034(a,1,1))]. given #2676 (H,wt=10): 2795 L(x,y,K(y,y \ 1)) = x. [hyper(1978,a,2790,a(flip))]. given #2677 (H,wt=12): 2799 L(x,K(y \ 1,y),1 / y) = x. [hyper(199,a,2112,a(flip),b,2795,a(flip)),flip(a)]. given #2678 (H,wt=12): 2800 L(x,1 / y,K(y \ 1,y)) = x. [para(2051(a,1),2795(a,1,3))]. given #2679 (H,wt=13): 2802 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(2304,a,2799,a)]. given #2680 (H,wt=14): 2801 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(2305,a,2799,a)]. given #2681 (H,wt=14): 2804 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(68,a,2799,a(flip),b,2301,a(flip))]. given #2682 (H,wt=14): 2807 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(2003(a,1),2800(a,1,3))]. given #2683 (H,wt=14): 2809 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2800(a,1),2110(a,1,1,2))]. given #2684 (H,wt=15): 2822 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2809(a,1),2412(a,1,2))]. given #2685 (H,wt=16): 2811 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(608,a,2802,a),flip(a)]. given #2686 (H,wt=17): 2791 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [hyper(2748,a,2790,a)]. given #2687 (H,wt=17): 2792 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2237,a,2790,a)]. given #2688 (H,wt=17): 2793 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(499,a,2790,a)]. given #2689 (H,wt=17): 2794 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(199,a,228,a(flip),b,2790,a)]. given #2690 (H,wt=17): 2796 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(199,a,2082,a(flip),b,2790,a(flip)),flip(a)]. given #2691 (H,wt=17): 2797 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(69,a,2790,a(flip),b,2082,a(flip))]. given #2692 (H,wt=10): 2830 R(x,K(x,x \ 1),y) = x. [hyper(2042,a,2797,a)]. given #2693 (H,wt=14): 2831 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(2051(a,1),2830(a,1,2))]. given #2694 (H,wt=17): 2805 L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. [para(2799(a,1),2305(a,1))]. given #2695 (H,wt=17): 2806 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(199,a,2124,a(flip),b,2800,a(flip)),flip(a)]. given #2696 (H,wt=17): 2808 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2800(a,1),1956(a,1,2)),flip(a)]. given #2697 (H,wt=17): 2813 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(60(a,1),2802(a,1,3)),flip(a)]. given #2698 (H,wt=17): 2818 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(199,a,2028,a(flip),b,2807,a(flip)),flip(a)]. given #2699 (H,wt=17): 2819 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2807(a,1),2027(a,1,2)),flip(a)]. given #2700 (H,wt=17): 2824 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1410,a,2791,a),flip(a)]. given #2701 (H,wt=17): 2825 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(106(a,1),2791(a,1,2,1))]. given #2702 (H,wt=17): 2826 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(199,a,228,a(flip),b,2792,a)]. given #2703 (H,wt=17): 2828 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2740(a,1),2793(a,1,2)),flip(a)]. given #2704 (H,wt=17): 2834 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2762,a,2806,a)]. given #2705 (H,wt=17): 2835 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2759,a,2806,a)]. given #2706 (H,wt=17): 2836 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2250,a,2806,a)]. given #2707 (H,wt=17): 2838 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2806(a,1),2115(a,1,2))]. given #2708 (H,wt=17): 2839 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2762,a,2808,a)]. given #2709 (H,wt=17): 2840 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2759,a,2808,a)]. given #2710 (H,wt=14): 2858 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(2088,a,2840,a)]. given #2711 (H,wt=13): 2862 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(894,a,2858,a)]. given #2712 (H,wt=17): 2841 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2250,a,2808,a)]. given #2713 (H,wt=17): 2846 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(2085,a,2818,a)]. given #2714 (H,wt=17): 2848 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2746,a,2819,a)]. given #2715 (H,wt=17): 2850 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(590,a,2824,a)]. given #2716 (H,wt=17): 2851 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(499,a,2825,a)]. given #2717 (H,wt=17): 2852 x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. [hyper(270,a,2825,a),flip(a)]. given #2718 (H,wt=17): 2853 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(199,a,2398,a(flip),b,2826,a(flip)),flip(a)]. given #2719 (H,wt=17): 2856 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(199,a,2246,a(flip),b,2838,a)]. given #2720 (H,wt=17): 2863 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(60(a,1),2862(a,1,2)),flip(a)]. given #2721 (H,wt=17): 2866 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [hyper(199,a,2418,a(flip),b,2848,a(flip)),flip(a)]. given #2722 (H,wt=17): 2869 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(68,a,14,a(flip),b,2850,a),flip(a)]. given #2723 (H,wt=17): 2870 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(68,a,2850,a(flip),b,2266,a(flip))]. given #2724 (H,wt=17): 2875 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(199,a,2246,a(flip),b,2852,a)]. given #2725 (H,wt=17): 2877 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(199,a,2266,a,b,2866,a(flip)),flip(a)]. given #2726 (H,wt=17): 2878 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(2759,a,2869,a)]. given #2727 (H,wt=17): 2879 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2250,a,2869,a)]. given #2728 (H,wt=17): 2880 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(199,a,1043,a(flip),b,2869,a(flip)),flip(a)]. given #2729 (H,wt=17): 2885 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1411,a,2877,a),flip(a)]. given #2730 (H,wt=18): 2810 L(T(x \ y,z),x,x \ 1) = T((1 / x) * y,z). [hyper(1087,a,2802,a),flip(a)]. given #2731 (H,wt=18): 2817 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(63(a,1),2804(a,1,2,3))]. given #2732 (H,wt=18): 2820 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(199,a,119,a(flip),b,2809,a)]. given #2733 (H,wt=18): 2821 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2809(a,1),529(a,1,2))]. given #2734 (H,wt=18): 2876 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(417,a,2863,a),flip(a)]. given #2735 (H,wt=19): 2823 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(60(a,1),2822(a,1,2,1)),flip(a)]. given #2736 (H,wt=19): 2859 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(69,a,2840,a(flip),b,2771,a)]. given #2737 (H,wt=19): 2865 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [hyper(69,a,2846,a(flip),b,2771,a)]. given #2738 (H,wt=19): 2868 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2848(a,1),2700(a,1,1))]. given #2739 (H,wt=19): 2874 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(2806(a,1),2851(a,1,2)),flip(a)]. given #2740 (H,wt=19): 2882 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2869(a,1),2744(a,1,1))]. given #2741 (H,wt=19): 2886 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2273(a,1),2880(a,1,2))]. given #2742 (H,wt=19): 2887 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(199,a,2763,a(flip),b,2885,a)]. given #2743 (H,wt=17): 2896 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(32(a,2),2887(a,1,2))]. given #2744 (H,wt=11): 2897 T(x,1 / (1 / y)) = T(x,y). [hyper(319,a,2896,a),flip(a)]. given #2745 (H,wt=11): 2898 T(x,1 / y) = T(x,y \ 1). [para(60(a,1),2897(a,1,2,2))]. given #2746 (H,wt=11): 2899 T(x,(y \ 1) \ 1) = T(x,y). [para(123(a,1),2897(a,1,2)),flip(a)]. given #2747 (H,wt=11): 2904 T(x,T(y,y \ 1)) = T(x,y). [para(106(a,2),2899(a,1,2))]. given #2748 (H,wt=15): 2901 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2898(a,1),105(a,1,2))]. given #2749 (H,wt=17): 2902 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(2899(a,1),105(a,1,2))]. given #2750 (H,wt=17): 2903 T(x,y) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2899(a,1),166(a,1,1))]. given #2751 (H,wt=17): 2906 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2273(a,2),2899(a,1,2))]. given #2752 (H,wt=17): 2908 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2904(a,1),105(a,1,2))]. given #2753 (H,wt=17): 2909 T(T(x,x \ 1) \ y,x) = y / ((x \ 1) \ 1). [hyper(69,a,272,a(flip),b,2903,a),flip(a)]. given #2754 (H,wt=19): 2893 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(69,a,2886,a(flip),b,2225,a)]. given #2755 (H,wt=19): 2894 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(63(a,1),2886(a,1,2,1,1,2)),flip(a)]. given #2756 (H,wt=19): 2911 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(63(a,1),2893(a,1,1,1,1)),flip(a)]. given #2757 (H,wt=19): 2912 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(2894(a,1),60(a,1,2))]. given #2758 (H,wt=19): 2913 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2912(a,1,2,2,1,1))]. given #2759 (H,wt=17): 2915 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(199,a,2370,a,b,2913,a),flip(a)]. given #2760 (H,wt=17): 2916 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(106(a,2),2915(a,2,2,2)),flip(a)]. given #2761 (H,wt=17): 2917 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(2916(a,1),63(a,1,1))]. given #2762 (H,wt=19): 2914 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2225(a,2),2912(a,1,2))]. given #2763 (H,wt=19): 2918 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),2914(a,1,2,1,1,1))]. given #2764 (H,wt=20): 2827 T(x,x \ 1) * y != z * K(x,x \ 1) | x * y = z. [para(2792(a,1),20(a,1))]. given #2765 (H,wt=20): 2829 T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. [para(2796(a,1),19(a,1))]. given #2766 (H,wt=20): 2845 (x \ 1) * y != z * K(x \ 1,x) | (1 / x) * y = z. [para(2808(a,1),2249(a,1)),flip(b)]. given #2767 (H,wt=20): 2854 ((x \ 1) \ 1) * y != (x * y) * z | K(x,x \ 1) = z. [para(2826(a,1),19(a,1))]. given #2768 (H,wt=20): 2881 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2869(a,1),2250(a,1))]. given #2769 (H,wt=20): 2883 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(2875(a,1),19(a,1))]. given #2770 (H,wt=20): 2888 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2870(a,1),2876(a,1,1))]. given #2771 (H,wt=21): 2787 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2215(a,1),2722(a,1,1,2))]. given #2772 (H,wt=19): 2920 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(105(a,1),2787(a,1,1)),flip(a)]. given #2773 (H,wt=19): 2921 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2920(a,1),63(a,1,1))]. given #2774 (H,wt=19): 2922 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(60(a,1),2921(a,1,1,1,1,2)),flip(a)]. given #2775 (H,wt=19): 2923 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2922(a,1),63(a,1,1))]. given #2776 (H,wt=21): 2815 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(173(a,1),2801(a,1,2)),flip(a)]. given #2777 (H,wt=21): 2855 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(60(a,1),2834(a,1,1,1))]. given #2778 (H,wt=21): 2864 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [hyper(199,a,2399,a,b,2841,a(flip)),flip(a)]. given #2779 (H,wt=17): 2926 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(2051(a,1),2864(a,1,2,2))]. given #2780 (H,wt=17): 2927 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(199,a,2266,a,b,2926,a(flip)),flip(a)]. given #2781 (H,wt=17): 2929 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2742(a,1),2926(a,1,2)),flip(a)]. given #2782 (H,wt=20): 2928 (x \ 1) * y != (1 / x) * z | K(x \ 1,x) * y = z. [para(2926(a,1),2284(a,1))]. given #2783 (H,wt=20): 2930 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(2929(a,1),173(a,1,2)),flip(a)]. given #2784 (H,wt=21): 2873 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(2043(a,1),2851(a,1,2,1))]. given #2785 (H,wt=21): 2892 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(199,a,2879,a,b,2886,a),flip(a)]. given #2786 (H,wt=19): 2931 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(17,a,2357,a,b,2892,a),flip(a)]. given #2787 (H,wt=22): 2721 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(63(a,1),2720(a,1,2))]. given #2788 (H,wt=16): 2932 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(854(a,1),2721(a,1,1))]. given #2789 (H,wt=15): 2933 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(199,a,747,a(flip),b,2932,a(flip))]. given #2790 (H,wt=13): 2934 T(K(1 / (1 / x),y),x) = K(x,y). [para(2933(a,2),149(a,1,1))]. given #2791 (H,wt=21): 2935 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(181(a,1),2934(a,1,1,1,2))]. given #2792 (H,wt=17): 2936 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(60(a,1),2935(a,1,1,1))]. given #2793 (H,wt=13): 2937 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(199,a,2904,a(flip),b,2936,a(flip))]. given #2794 (H,wt=13): 2938 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(106(a,1),2937(a,1,1)),flip(a)]. given #2795 (H,wt=22): 2778 x \ R(x,y \ 1,y) != z | a(x,y \ 1,(y \ 1) \ 1) = z. [para(2776(a,1),604(a,1,2))]. given #2796 (H,wt=22): 2785 (x / y) * y != z * K(u \ 1,u) | x * K(u,u \ 1) = z. [para(2751(a,2),20(a,1))]. given #2797 (H,wt=22): 2890 (x * y) * (x \ 1) != z * (1 / x) | (1 / (1 / x)) * y = z. [para(2868(a,1),20(a,1))]. given #2798 (H,wt=22): 2919 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2856(a,2),2888(a,1,1))]. given #2799 (H,wt=23): 2627 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(2621(a,1),2620(a,1,1)),flip(a)]. given #2800 (H,wt=23): 2650 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(105(a,1),2644(a,1,1))]. given #2801 (H,wt=21): 2939 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2537(a,1),2650(a,1,2))]. given #2802 (H,wt=19): 2940 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(199,a,2217,a(flip),b,2939,a)]. given #2803 (H,wt=19): 2941 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2665(a,1),2940(a,1,2))]. given #2804 (H,wt=13): 2942 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(17,a,2826,a,b,2941,a)]. given #2805 (H,wt=15): 2943 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(199,a,2663,a,b,2942,a(flip)),flip(a)]. given #2806 (H,wt=15): 2947 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(68,a,2943,a(flip),b,2001,a(flip))]. given #2807 (H,wt=13): 2950 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(199,a,2233,a(flip),b,2947,a(flip)),flip(a)]. given #2808 (H,wt=13): 2951 (1 / T(x,y)) * x = T(x,y) \ x. [para(2950(a,1),16(a,1,1))]. given #2809 (H,wt=11): 2953 x / T(x,y) = T(x,y) \ x. [hyper(1117,a,2951,a)]. given #2810 (H,wt=11): 2955 (T(x,y) \ x) * T(x,y) = x. [para(2953(a,1),16(a,1,1))]. given #2811 (H,wt=10): 2958 L(x,T(x,y) \ x,x) = x. [hyper(199,a,2141,a,b,2955,a(flip)),flip(a)]. given #2812 (H,wt=11): 2956 (T(x,y) \ x) \ x = T(x,y). [para(2953(a,1),63(a,1,1))]. given #2813 (H,wt=13): 2952 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(2950(a,2),63(a,1,1))]. given #2814 (H,wt=13): 2960 (x * y) * T(K(y,x),x) = y * x. [para(2958(a,1),2140(a,1,2)),flip(a)]. given #2815 (H,wt=9): 2961 T(K(x,y),y) = K(x,y). [hyper(223,a,2960,a),flip(a)]. given #2816 (H,wt=7): 2963 T(x,K(y,x)) = x. [hyper(35,a,2961,a)]. given #2817 (H,wt=7): 2967 K(x,K(y,x)) = 1. [hyper(36,a,2963,a)]. given #2818 (H,wt=9): 2976 T(x,y \ T(y,x)) = x. [para(1051(a,1),2963(a,1,2))]. given #2819 (H,wt=9): 2979 T(x,T(y,x) \ y) = x. [para(47(a,1),2976(a,1,2,2))]. given #2820 (H,wt=11): 2962 (x * K(y,x)) / x = K(y,x). [hyper(341,a,2961,a)]. given #2821 (H,wt=11): 2964 K(x,y) * y = y * K(x,y). [para(2961(a,1),105(a,1,2)),flip(a)]. given #2822 (H,wt=11): 2969 T(T(x,y),K(z,x)) = T(x,y). [para(2963(a,1),38(a,1,1)),flip(a)]. given #2823 (H,wt=11): 2975 T(x,y * T(y \ 1,x)) = x. [para(1047(a,1),2963(a,1,2))]. given #2824 (H,wt=11): 2977 T(x,x \ ((y * x) / y)) = x. [para(1233(a,1),2963(a,1,2))]. given #2825 (H,wt=9): 2992 T(x,x \ T(x,y)) = x. [para(185(a,2),2977(a,1,2,2))]. given #2826 (H,wt=11): 2989 T(K(x,y),T(y,z)) = K(x,y). [hyper(35,a,2969,a)]. given #2827 (H,wt=9): 2997 K(K(x,y),T(y,z)) = 1. [hyper(36,a,2989,a)]. given #2828 (H,wt=11): 2994 (x \ T(x,y)) * x = T(x,y). [para(2992(a,1),152(a,1,2))]. given #2829 (H,wt=11): 2995 T(x,y) / x = x \ T(x,y). [para(2992(a,1),181(a,1,2))]. given #2830 (H,wt=11): 2999 K(x \ T(x,y),T(y,z)) = 1. [para(1051(a,1),2997(a,1,1))]. given #2831 (H,wt=11): 3000 x * (T(x,y) / x) = T(x,y). [hyper(335,a,2994,a)]. given #2832 (H,wt=12): 2983 L(K(x,y),y,1 / y) = K(x,y). [hyper(199,a,2319,a,b,2962,a(flip)),flip(a)]. given #2833 (H,wt=13): 2996 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1051(a,2),2992(a,1,2))]. given #2834 (H,wt=13): 2998 T(K(x,T(y,z)),y) = K(x,T(y,z)). [para(47(a,1),2989(a,1,2))]. given #2835 (H,wt=9): 3024 T(x,K(y,T(x,z))) = x. [hyper(35,a,2998,a)]. given #2836 (H,wt=12): 3026 T(x,K(y,T(x,z))) != u | u = x. [para(3024(a,1),338(a,1,1))]. given #2837 (H,wt=13): 3010 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1080,a,2995,a)]. given #2838 (H,wt=11): 3028 T(1 / x,T(x,y)) = x \ 1. [hyper(154,a,3010,a,b,847,a)]. given #2839 (H,wt=13): 3021 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(302,a,2983,a)]. given #2840 (H,wt=13): 3022 (1 / x) \ K(y,x) = x * K(y,x). [hyper(68,a,2983,a(flip),b,176,a)]. given #2841 (H,wt=13): 3029 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(199,a,63,a(flip),b,3028,a)]. given #2842 (H,wt=13): 3031 T(1 / x,(y * x) / y) = x \ 1. [para(185(a,1),3028(a,1,2))]. given #2843 (H,wt=13): 3032 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3028(a,1),167(a,1,1)),flip(a)]. given #2844 (H,wt=13): 3037 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3029(a,1),1952(a,1,1)),flip(a)]. given #2845 (H,wt=14): 2954 T(x,y) \ x != z | x / T(x,y) = z. [para(2951(a,1),1117(a,1))]. given #2846 (H,wt=14): 2965 x * K(y,x) != z | K(y,x) * x = z. [para(2961(a,1),215(a,1,2))]. given #2847 (H,wt=14): 3013 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2995(a,1),207(a,1,1)),flip(b)]. given #2848 (H,wt=14): 3019 x \ T(x,y) != z | T(x,y) / x = z. [para(3000(a,1),254(a,1,2)),flip(b)]. given #2849 (H,wt=15): 2949 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(2015,a,2947,a)]. given #2850 (H,wt=15): 2957 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2953(a,1),1248(a,1,1))]. given #2851 (H,wt=15): 2970 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2963(a,1),163(a,1,2,1)),flip(a)]. given #2852 (H,wt=15): 2981 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2979(a,1),105(a,1,2))]. given #2853 (H,wt=15): 2993 ((x * y) / x) / y = y \ ((x * y) / x). [para(2977(a,1),181(a,1,2))]. given #2854 (H,wt=15): 3005 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(106(a,1),2994(a,1,1,2))]. given #2855 (H,wt=15): 3016 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2995(a,1),2205(a,1,1))]. given #2856 (H,wt=15): 3018 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(37,a,2999,a)]. given #2857 (H,wt=15): 3023 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1060,a,2996,a)]. given #2858 (H,wt=15): 3025 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(2998(a,1),105(a,1,2)),flip(a)]. given #2859 (H,wt=15): 3042 x * (((y * x) / y) / x) = (y * x) / y. [para(2993(a,2),14(a,1,2))]. given #2860 (H,wt=15): 3045 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3023(a,1),14(a,1,2))]. given #2861 (H,wt=16): 2968 T(x * y,K(z,x * y)) != x * u | u = y. [para(2963(a,2),19(a,2)),flip(a)]. given #2862 (H,wt=16): 3002 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(199,a,1802,a,b,2994,a(flip)),flip(a)]. given #2863 (H,wt=15): 3050 T(x,x / (y * x)) = T(x,x / (x * y)). [para(146(a,1),3002(a,1,2))]. given #2864 (H,wt=16): 3015 x \ T(x,y) != z | (1 / x) * T(x,y) = z. [para(2995(a,1),1080(a,1))]. given #2865 (H,wt=16): 3030 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(199,a,1484,a(flip),b,3028,a(flip)),flip(a)]. given #2866 (H,wt=14): 3053 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(150(a,1),3030(a,1,3,2))]. given #2867 (H,wt=16): 3033 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3028(a,1),315(a,2,1))]. given #2868 (H,wt=17): 2966 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2961(a,1),164(a,1,2,1)),flip(a)]. given #2869 (H,wt=10): 3054 T(x,L(K(y,x),z,u)) = x. [hyper(188,a,2966,a)]. given #2870 (H,wt=13): 3055 T(x,L(K(y,x),z,u)) != w | w = x. [para(3054(a,1),338(a,1,1))]. given #2871 (H,wt=17): 2971 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2963(a,1),164(a,1,2,1)),flip(a)]. given #2872 (H,wt=12): 3056 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(188,a,2971,a)]. given #2873 (H,wt=15): 3057 T(K(x,y),L(y,z,u)) != w | K(x,y) = w. [para(3056(a,1),338(a,1,1)),flip(b)]. given #2874 (H,wt=17): 2972 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2963(a,1),165(a,1,2,1)),flip(a)]. given #2875 (H,wt=17): 2991 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(35,a,2975,a)]. given #2876 (H,wt=17): 3011 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(863,a,2995,a),flip(a)]. given #2877 (H,wt=17): 3012 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(855,a,2995,a)]. given #2878 (H,wt=17): 3020 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3000(a,1),2120(a,1,1))]. given #2879 (H,wt=15): 3063 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(17,a,2220,a,b,3020,a),flip(a)]. given #2880 (H,wt=17): 3034 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3028(a,1),1052(a,1,1)),flip(a)]. given #2881 (H,wt=15): 3070 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3032(a,1),3034(a,1,2)),flip(a)]. given #2882 (H,wt=13): 3071 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(199,a,242,a(flip),b,3070,a)]. given #2883 (H,wt=17): 3035 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(68,a,3021,a(flip),b,119,a(flip)),flip(a)]. given #2884 (H,wt=17): 3064 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(199,a,2678,a,b,3063,a(flip)),flip(a)]. given #2885 (H,wt=18): 2973 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2963(a,1),330(a,1,2,1))]. given #2886 (H,wt=18): 2974 K(x,y) * y != z * u | z \ (y * K(x,y)) = u. [para(2963(a,1),494(a,1,2))]. given #2887 (H,wt=18): 2980 x * (y \ T(y,x)) != z | (y \ T(y,x)) * x = z. [para(2976(a,1),217(a,1,1))]. given #2888 (H,wt=18): 2982 (T(x,y) \ x) * y != z | y * (T(x,y) \ x) = z. [para(2979(a,1),215(a,1,2))]. given #2889 (H,wt=18): 2984 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(199,a,1085,a,b,2962,a(flip)),flip(a)]. given #2890 (H,wt=16): 3078 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(946(a,1),2984(a,1,1,1))]. given #2891 (H,wt=18): 3001 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(18,a,1479,a,b,2994,a)]. given #2892 (H,wt=18): 3004 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2994(a,1),30(a,2,1,1))]. given #2893 (H,wt=18): 3009 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2994(a,1),821(a,1,1)),flip(a)]. given #2894 (H,wt=10): 3080 L(x,x \ T(x,y),x) = x. [hyper(199,a,60,a(flip),b,3009,a)]. given #2895 (H,wt=18): 3044 T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u. [para(3018(a,1),338(a,1,1)),flip(b)]. given #2896 (H,wt=18): 3047 (x * y) / x != y * z | ((x * y) / x) / y = z. [para(3042(a,1),19(a,1))]. given #2897 (H,wt=18): 3061 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3011(a,1),652(a,2,1)),flip(a)]. given #2898 (H,wt=11): 3082 K(1 / x,y) = K(x \ 1,y). [hyper(199,a,2720,a(flip),b,3061,a(flip)),flip(a)]. given #2899 (H,wt=11): 3083 K(1 / (1 / x),y) = K(x,y). [hyper(199,a,575,a(flip),b,3082,a)]. given #2900 (H,wt=9): 3087 T(K(x,y),x) = K(x,y). [para(3083(a,1),2934(a,1,1))]. given #2901 (H,wt=7): 3089 T(x,K(x,y)) = x. [hyper(35,a,3087,a)]. given #2902 (H,wt=11): 3085 K((x \ 1) \ 1,y) = K(x,y). [para(60(a,1),3082(a,1,1)),flip(a)]. given #2903 (H,wt=11): 3090 K(T(x,x \ 1),y) = K(x,y). [hyper(199,a,2937,a,b,3087,a(flip)),flip(a)]. given #2904 (H,wt=11): 3091 K(x,y) * x = x * K(x,y). [para(3087(a,1),105(a,1,2)),flip(a)]. given #2905 (H,wt=11): 3095 T(T(x,y),K(x,z)) = T(x,y). [para(3089(a,1),38(a,1,1)),flip(a)]. given #2906 (H,wt=11): 3104 T(K(x,y),T(x,z)) = K(x,y). [hyper(35,a,3095,a)]. given #2907 (H,wt=12): 3093 T(K(x,y),x) != z | K(x,y) = z. [para(3087(a,1),338(a,1,1)),flip(b)]. given #2908 (H,wt=14): 3092 K(x,y) * x != z | x * K(x,y) = z. [para(3087(a,1),217(a,1,1))]. given #2909 (H,wt=14): 3108 K(T(x,x \ 1),y) != z | K(x,y) = z. [para(2937(a,2),3093(a,1))]. given #2910 (H,wt=14): 3109 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2938(a,1),3093(a,1))]. given #2911 (H,wt=14): 3110 K(x \ 1,y) != z | K(1 / x,y) = z. [para(63(a,1),3109(a,1,1,1))]. given #2912 (H,wt=15): 3096 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3089(a,1),163(a,1,2,1)),flip(a)]. given #2913 (H,wt=15): 3097 T(T(T(x,y),z),K(x,u)) = T(T(x,y),z). [para(3089(a,1),108(a,2,1,1))]. given #2914 (H,wt=13): 3113 T(K(x,y),T(T(x,z),u)) = K(x,y). [hyper(35,a,3097,a)]. given #2915 (H,wt=15): 3102 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(199,a,1625,a(flip),b,3085,a(flip)),flip(a)]. given #2916 (H,wt=11): 3115 K(x,T(y,x * y)) = K(x,y). [hyper(3109,a,3102,a),flip(a)]. given #2917 (H,wt=13): 3116 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),3115(a,1,2,2))]. given #2918 (H,wt=15): 3107 T(K(x \ y,z),y / x) = K(x \ y,z). [para(170(a,1),3104(a,1,2))]. given #2919 (H,wt=13): 3117 T(x / y,K(y \ x,z)) = x / y. [hyper(35,a,3107,a)]. given #2920 (H,wt=16): 3114 T(K(x,y),T(T(x,z),u)) != w | K(x,y) = w. [para(3113(a,1),338(a,1,1)),flip(b)]. given #2921 (H,wt=17): 3084 (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). [hyper(199,a,26,a(flip),b,3082,a),flip(a)]. given #2922 (H,wt=14): 3118 K(1 / x,y) != z | K(x \ 1,y) = z. [para(3084(a,1),260(a,1))]. given #2923 (H,wt=14): 3119 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(60(a,1),3118(a,1,1))]. given #2924 (H,wt=17): 3094 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3087(a,1),165(a,1,2,1)),flip(a)]. given #2925 (H,wt=10): 3122 T(x,R(K(x,y),z,u)) = x. [hyper(188,a,3094,a)]. given #2926 (H,wt=10): 3123 K(x,R(K(x,y),z,u)) = 1. [hyper(67,a,3094,a,b,85,a),flip(a)]. given #2927 (H,wt=17): 3098 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3089(a,1),164(a,1,2,1)),flip(a)]. given #2928 (H,wt=17): 3099 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3089(a,1),165(a,1,2,1)),flip(a)]. given #2929 (H,wt=12): 3125 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(188,a,3099,a)]. given #2930 (H,wt=18): 3105 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3095(a,1),217(a,1,1))]. given #2931 (H,wt=18): 3112 T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. [para(3096(a,2),19(a,1))]. given #2932 (H,wt=19): 2978 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2963(a,1),2427(a,1,1,1)),flip(a)]. given #2933 (H,wt=11): 3126 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,85,a(flip),b,2978,a)]. given #2934 (H,wt=14): 3127 x / K(y,x) != z | K(y,x) \ x = z. [para(3126(a,1),262(a,1,1)),flip(b)]. given #2935 (H,wt=19): 3027 T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). [para(3024(a,1),163(a,1,2,1)),flip(a)]. given #2936 (H,wt=19): 3038 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3037(a,1),1541(a,1,1))]. given #2937 (H,wt=17): 3128 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(2829,a,3038,a)]. given #2938 (H,wt=19): 3060 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2991(a,1),1371(a,1,2)),flip(a)]. given #2939 (H,wt=19): 3062 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3011(a,1),2488(a,1,1))]. given #2940 (H,wt=19): 3086 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2214(a,1),3082(a,1,1))]. given #2941 (H,wt=19): 3103 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2923(a,1),3085(a,1,1)),flip(a)]. given #2942 (H,wt=19): 3129 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(590,a,3038,a)]. given #2943 (H,wt=20): 2987 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2964(a,1),101(a,1,2))]. given #2944 (H,wt=20): 3014 x \ T(x,y) != T(x,y) * z | T(1 / x,T(x,y)) = z. [para(2995(a,1),862(a,1))]. given #2945 (H,wt=20): 3036 (1 / x) * (x * K(y,x)) != z * u | z \ K(y,x) = u. [para(3022(a,1),328(a,1,2))]. given #2946 (H,wt=19): 3134 L(K(x,y),y,1 / y) != z * u | z \ K(x,y) = u. [para(176(a,1),3036(a,1))]. given #2947 (H,wt=20): 3040 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(199,a,1482,a,b,2981,a(flip)),flip(a)]. given #2948 (H,wt=20): 3058 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2972(a,1),19(a,1)),flip(a)]. given #2949 (H,wt=20): 3059 R(x,y,z) * K(u,x) != K(u,x) * w | R(x,y,z) = w. [para(2972(a,2),19(a,1))]. given #2950 (H,wt=20): 3079 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3001(a,1),2489(a,1,2)),flip(a)]. given #2951 (H,wt=18): 3135 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(199,a,2499,a(flip),b,3079,a)]. given #2952 (H,wt=20): 3100 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3089(a,1),331(a,1,2,1))]. given #2953 (H,wt=20): 3101 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(3089(a,1),332(a,1,2,1))]. given #2954 (H,wt=20): 3120 x \ ((x \ 1) \ 1) != y | K((x \ 1) \ 1,x \ 1) = y. [para(2039(a,2),3119(a,1))]. given #2955 (H,wt=20): 3136 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(150(a,1),3135(a,2,1))]. given #2956 (H,wt=15): 3137 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3040(a,1),3136(a,1,1))]. given #2957 (H,wt=15): 3138 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3137(a,1),60(a,1,2))]. given #2958 (H,wt=21): 2948 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(2943(a,1),2754(a,1,2))]. given #2959 (H,wt=21): 3008 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2994(a,1),436(a,1,1,1))]. given #2960 (H,wt=21): 3048 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1296(a,1),3042(a,1,2))]. given #2961 (H,wt=21): 3065 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3063(a,1),2763(a,1,1))]. given #2962 (H,wt=21): 3066 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(3063(a,1),2869(a,1,1))]. given #2963 (H,wt=21): 3067 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3063(a,1),2877(a,1,2,1))]. given #2964 (H,wt=21): 3077 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3064(a,1),2636(a,1,2)),flip(a)]. given #2965 (H,wt=21): 3088 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2468,a,3087,a)]. given #2966 (H,wt=21): 3111 L(x * T(x \ 1,y),x \ 1,y) != z | K(1 / x,y) = z. [para(3061(a,2),3110(a,1))]. given #2967 (H,wt=21): 3142 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2215(a,1),3065(a,2,2))]. given #2968 (H,wt=21): 3144 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2213(a,1),3066(a,2,1))]. given #2969 (H,wt=21): 3145 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2215(a,1),3067(a,2,1))]. given #2970 (H,wt=21): 3147 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2250,a,3144,a)]. given #2971 (H,wt=21): 3148 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(68,a,14,a(flip),b,3145,a),flip(a)]. given #2972 (H,wt=21): 3149 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2762,a,3148,a)]. given #2973 (H,wt=22): 2990 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(2969(a,1),330(a,1,2,1))]. given #2974 (H,wt=22): 3003 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2994(a,1),28(a,2,1)),flip(a)]. given #2975 (H,wt=21): 3152 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3003(a,1),964(a,1,2)),flip(a)]. given #2976 (H,wt=21): 3153 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),3152(a,1,1)),flip(a)]. given #2977 (H,wt=22): 3006 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2994(a,1),92(a,1,1))]. given #2978 (H,wt=22): 3075 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2531,a,3035,a)]. given #2979 (H,wt=22): 3155 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3075(a,2),14(a,1,2))]. given #2980 (H,wt=23): 2784 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2259(a,1),2739(a,1,1)),flip(a)]. given #2981 (H,wt=19): 3158 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(18,a,2868,a,b,2784,a),flip(a)]. given #2982 (H,wt=13): 3159 T(1 / (1 / x),y / (y * x)) = x. [hyper(154,a,3158,a,b,xx)]. given #2983 (H,wt=13): 3161 T(1 / (1 / x),(y / x) / y) = x. [para(16(a,1),3159(a,1,2,2))]. given #2984 (H,wt=19): 3162 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3161(a,1),151(a,1,2,2))]. given #2985 (H,wt=23): 2867 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2634(a,1),2848(a,1,2))]. given #2986 (H,wt=23): 2988 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2964(a,1),427(a,2,2))]. given #2987 (H,wt=23): 3017 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2995(a,1),2324(a,1,1,2))]. given #2988 (H,wt=23): 3041 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2981(a,1),1775(a,1,1,2,1))]. given #2989 (H,wt=23): 3051 (x \ T(x,x / (x * y))) * x != z | T(x,R(1 / y,y,x)) = z. [para(3002(a,1),3013(a,1,1,2))]. given #2990 (H,wt=23): 3124 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3122(a,1),164(a,1,2,1))]. given #2991 (H,wt=23): 3140 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(980(a,1),2948(a,1,1))]. given #2992 (H,wt=17): 3167 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,2792,a,b,3140,a)]. given #2993 (H,wt=17): 3168 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(199,a,355,a(flip),b,3167,a(flip)),flip(a)]. given #2994 (H,wt=23): 3150 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3148(a,1),2850(a,1,2))]. given #2995 (H,wt=23): 3157 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3155(a,1),2586(a,1,1))]. given #2996 (H,wt=23): 3165 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2995(a,1),3017(a,2,2,1,2))]. given #2997 (H,wt=23): 3166 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(199,a,2981,a(flip),b,3041,a)]. given #2998 (H,wt=19): 3170 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3137(a,1),3166(a,1,1,2))]. given #2999 (H,wt=15): 3171 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(17,a,3165,a(flip),b,3170,a(flip)),flip(a)]. given #3000 (H,wt=24): 2706 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2369(a,1),2687(a,1,1)),flip(a)]. given #3001 (H,wt=24): 2872 ((x \ 1) \ 1) * (K(x \ 1,x) * y) != z * u | z \ (x * y) = u. [para(2850(a,2),492(a,1))]. given #3002 (H,wt=24): 2985 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(2962(a,1),446(a,1,1)),flip(a)]. given #3003 (H,wt=24): 2986 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(2962(a,1),515(a,1,1,1))]. given #3004 (H,wt=24): 3007 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2994(a,1),103(a,1,1,1)),flip(a)]. given #3005 (H,wt=24): 3141 (x * (y \ 1)) / x != (y \ 1) * z | y * ((x * (y \ 1)) / x) = z. [para(3048(a,1),19(a,1))]. given #3006 (H,wt=24): 3173 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(365(a,1),3007(a,2,1))]. given #3007 (H,wt=25): 2655 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2213(a,1),2648(a,1,2))]. given #3008 (H,wt=25): 2735 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(878(a,1),2729(a,1,1)),flip(a)]. given #3009 (H,wt=25): 2816 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2801(a,1),226(a,1,1))]. given #3010 (H,wt=25): 2889 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(107(a,2),2865(a,1,1))]. given #3011 (H,wt=25): 3132 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1217(a,2),3062(a,1,1)),flip(a)]. given #3012 (H,wt=9): 3175 T(x,K(y,x) \ 1) = x. [para(3132(a,1),2979(a,1,2))]. given #3013 (H,wt=14): 3176 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3132(a,1),3053(a,1,3))]. given #3014 (H,wt=15): 3177 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3175(a,1),105(a,1,2))]. given #3015 (H,wt=24): 3178 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3177(a,1),145(a,2,1)),flip(a)]. given #3016 (H,wt=17): 3179 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(199,a,3176,a(flip),b,3178,a)]. given #3017 (H,wt=25): 3133 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1218(a,1),3062(a,1,1)),flip(a)]. given #3018 (H,wt=25): 3146 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(106(a,1),3142(a,1,2,2))]. given #3019 (H,wt=25): 3151 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(2005(a,1),3149(a,1,2))]. given #3020 (H,wt=21): 3181 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(60(a,1),3151(a,2,1,1,2))]. given #3021 (H,wt=21): 3182 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2757,a,3181,a)]. given #3022 (H,wt=21): 3183 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(13(a,1),3182(a,1,2)),flip(a)]. given #3023 (H,wt=21): 3184 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3183(a,1),14(a,1,2))]. given #3024 (H,wt=23): 3186 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2835(a,1),3184(a,1,2)),flip(a)]. given #3025 (H,wt=23): 3187 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3186(a,1),926(a,1,2))]. given #3026 (H,wt=25): 3164 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2353(a,1),2867(a,1,2))]. given #3027 (H,wt=26): 2711 x * (1 / (1 / (x \ (x / y)))) != z * u | (x / (1 / (1 / y))) / u = z. [para(2704(a,2),324(a,1,2))]. given #3028 (H,wt=26): 2747 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2740(a,1),94(a,2,2))]. given #3029 (H,wt=26): 2758 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2742(a,1),102(a,2,1))]. given #3030 (H,wt=26): 2761 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2743(a,1),102(a,2,1))]. given #3031 (H,wt=26): 2777 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2035(a,2),2738(a,1,2))]. given #3032 (H,wt=26): 2843 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2808(a,1),457(a,1,1))]. given #3033 (H,wt=19): 3189 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2404(a,1),2843(a,1,2))]. given #3034 (H,wt=26): 2924 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2801(a,1),2923(a,1,1,1,1))]. given #3035 (H,wt=26): 3121 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(709,a,3094,a),flip(a)]. given #3036 (H,wt=26): 3169 (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. [para(3165(a,2),19(a,1))]. given #3037 (H,wt=27): 2767 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2756(a,1),2326(a,1,2,1))]. given #3038 (H,wt=27): 2849 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(221(a,1),2819(a,1,2))]. given #3039 (H,wt=28): 2860 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2840(a,1),121(a,1,1,2))]. given #3040 (H,wt=28): 3160 (x / (x * y)) * z != (x / (x * y)) * y | T(1 / (1 / y),x / (x * y)) = z. [para(3158(a,1),155(a,2))]. given #3041 (H,wt=28): 3192 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(105(a,2),3121(a,2,1,1,1))]. given #3042 (H,wt=29): 2768 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2756(a,1),2506(a,1,2,1))]. given #3043 (H,wt=27): 3193 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2652(a,1),2768(a,1,2,1))]. given #3044 (H,wt=29): 2769 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2756(a,1),2507(a,1,2,1))]. given #3045 (H,wt=27): 3195 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2652(a,1),2769(a,1,2,1))]. given #3046 (H,wt=29): 2857 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1796(a,1),2838(a,1,2)),flip(a)]. given #3047 (H,wt=29): 2891 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(221(a,1),2868(a,1,1)),flip(a)]. given #3048 (H,wt=29): 3143 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(2931(a,1),3065(a,1,1))]. given #3049 (H,wt=25): 3197 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2211(a,1),3143(a,2,2,2))]. given #3050 (H,wt=21): 3198 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(60(a,1),3197(a,2,2))]. given #3051 (H,wt=29): 3185 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2114(a,2),3184(a,1,2))]. given #3052 (H,wt=27): 3200 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2873(a,1),3185(a,1,2))]. given #3053 (H,wt=29): 3188 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(2005(a,1),3164(a,1,2))]. given #3054 (H,wt=25): 3202 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2709(a,1),3188(a,2,1))]. given #3055 (H,wt=29): 3194 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2653(a,1),3193(a,1,2,1))]. given #3056 (H,wt=29): 3201 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(106(a,2),3200(a,1,2,1))]. given #3057 (H,wt=30): 2623 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2620(a,2),2300(a,1,2))]. given #3058 (H,wt=27): 3203 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [hyper(218,a,2623,a),flip(a)]. given #3059 (H,wt=27): 3205 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(14(a,1),3203(a,1,2,2,2,2))]. given #3060 (H,wt=30): 2910 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2908(a,1),2574(a,2,1))]. given #3061 (H,wt=22): 3206 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(152(a,1),2910(a,2,1))]. given #3062 (H,wt=19): 3207 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(199,a,289,a(flip),b,3206,a)]. given #3063 (H,wt=23): 3210 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3207(a,1),221(a,1,2)),flip(a)]. given #3064 (H,wt=21): 3211 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(69,a,12,a(flip),b,3210,a)]. given #3065 (H,wt=17): 3212 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(199,a,2596,a(flip),b,3211,a(flip))]. given #3066 (H,wt=19): 3213 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(68,a,3212,a(flip),b,2307,a)]. given #3067 (H,wt=21): 3214 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(63(a,1),3212(a,1,2))]. given #3068 (H,wt=19): 3215 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1280(a,1),3214(a,1,1))]. given #3069 (H,wt=21): 3216 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1011(a,1),3215(a,1,1)),flip(a)]. given #3070 (H,wt=30): 3204 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) != u | x * (y * (1 / (1 / (y \ z)))) = u. [para(2623(a,1),218(a,1))]. given #3071 (H,wt=31): 2861 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2840(a,1),403(a,1,2,2))]. given #3072 (H,wt=31): 2871 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2850(a,1),26(a,2,1)),flip(a)]. given #3073 (H,wt=21): 3217 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2744(a,1),2871(a,1,2)),flip(a)]. given #3074 (H,wt=20): 3218 K(K(x \ 1,x) * y,(x \ 1) \ 1) != z | K(y,x) = z. [para(3217(a,2),260(a,1))]. given #3075 (H,wt=20): 3219 K(x,(y \ 1) \ 1) != z | K(K(y,y \ 1) * x,y) = z. [para(2745(a,1),3218(a,1,1))]. given #3076 (H,wt=22): 3220 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) != z | K(x \ y,x) = z. [para(2869(a,1),3218(a,1,1))]. given #3077 (H,wt=31): 3043 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(749(a,1),2993(a,1,1)),flip(a)]. given #3078 (H,wt=27): 3221 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(749(a,1),3043(a,1,2)),flip(a)]. given #3079 (H,wt=24): 3222 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(199,a,2056,a(flip),b,3221,a(flip))]. given #3080 (H,wt=31): 3174 (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(182(a,1),2655(a,1,1)),flip(a)]. given #3081 (H,wt=31): 3223 (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(2213(a,1),3174(a,2,2,1))]. given #3082 (H,wt=29): 3224 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(199,a,163,a(flip),b,3223,a)]. given #3083 (H,wt=25): 3225 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(2943(a,1),3224(a,1,2))]. given #3084 (H,wt=21): 3226 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(2943(a,1),3225(a,1,2))]. given #3085 (H,wt=27): 3228 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3226(a,1),2864(a,1,2))]. given #3086 (H,wt=23): 3230 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(63(a,1),3228(a,1,2,1,1,1))]. given #3087 (H,wt=21): 3231 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,2927,a,b,3230,a),flip(a)]. given #3088 (H,wt=23): 3232 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(69,a,3187,a(flip),b,3230,a(flip))]. given #3089 (H,wt=23): 3233 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3231(a,1),2850(a,1,2))]. given #3090 (H,wt=32): 2770 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2760(a,1),94(a,2,1))]. given #3091 (H,wt=32): 2842 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2808(a,1),30(a,2,2)),flip(a)]. given #3092 (H,wt=32): 2884 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(357(a,1),2875(a,1,2)),flip(a)]. given #3093 (H,wt=28): 3234 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2863(a,1),2884(a,1,1))]. given #3094 (H,wt=24): 3235 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2813(a,1),3234(a,1,1))]. given #3095 (H,wt=22): 3236 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(2883,a,3235,a)]. given #3096 (H,wt=32): 3074 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3071(a,1),893(a,1,1,2))]. given #3097 (H,wt=32): 3154 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(199,a,2184,a,b,3006,a(flip)),flip(a)]. given #3098 (H,wt=28): 3238 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3153(a,1),3154(a,1,1))]. given #3099 (H,wt=26): 3239 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(742,a,3238,a)]. given #3100 (H,wt=22): 3240 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),3239(a,1,1)),flip(a)]. given #3101 (H,wt=15): 3241 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(68,a,3080,a(flip),b,3240,a)]. given #3102 (H,wt=22): 3242 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2949(a,1),3240(a,1,2)),flip(a)]. given #3103 (H,wt=14): 3245 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(199,a,3016,a(flip),b,3242,a)]. given #3104 (H,wt=22): 3244 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3001(a,1),3241(a,1,1)),flip(a)]. given #3105 (H,wt=19): 3248 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3135(a,1),3244(a,1,2)),flip(a)]. given #3106 (H,wt=21): 3249 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(150(a,1),3248(a,1,1,2)),flip(a)]. given #3107 (H,wt=15): 3250 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(150(a,1),3249(a,1,2,1)),flip(a)]. given #3108 (H,wt=15): 3251 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3250(a,1),14(a,1,2))]. given #3109 (H,wt=24): 3243 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1554(a,1),3241(a,1,1,2)),flip(a)]. given #3110 (H,wt=20): 3252 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),3243(a,2,1))]. given #3111 (H,wt=13): 3254 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2501(a,1),3252(a,1,2))]. given #3112 (H,wt=31): 3247 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3245(a,1),526(a,2,1))]. given #3113 (H,wt=27): 3255 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(14(a,1),3247(a,1,2,2,2))]. given #3114 (H,wt=23): 3257 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3028(a,1),3255(a,1,2,2)),flip(a)]. given #3115 (H,wt=23): 3258 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1350(a,1),3257(a,2,2))]. given #3116 (H,wt=22): 3260 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(199,a,173,a(flip),b,3258,a)]. given #3117 (H,wt=18): 3261 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(270,a,3260,a),flip(a)]. given #3118 (H,wt=16): 3263 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(199,a,3010,a(flip),b,3261,a)]. given #3119 (H,wt=25): 3264 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1554(a,1),3263(a,1,1,2))]. given #3120 (H,wt=21): 3265 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(13(a,1),3264(a,1,1)),flip(a)]. given #3121 (H,wt=16): 3267 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1554(a,1),3265(a,1,2)),flip(a)]. given #3122 (H,wt=12): 3268 L(K(x,y),x \ 1,x) = K(x,y). [hyper(199,a,13,a(flip),b,3267,a)]. given #3123 (H,wt=13): 3271 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(68,a,3268,a(flip),b,173,a),flip(a)]. given #3124 (H,wt=13): 3272 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1366,a,3271,a)]. given #3125 (H,wt=13): 3273 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(68,a,3271,a(flip),b,1365,a)]. given #3126 (H,wt=16): 3274 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(3271(a,1),20(a,1))]. given #3127 (H,wt=16): 3275 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(3272(a,1),254(a,1,2)),flip(b)]. given #3128 (H,wt=19): 3269 L(K(x,y),x \ 1,x) != z * u | z \ K(x,y) = u. [para(3267(a,2),269(a,1))]. given #3129 (H,wt=20): 3276 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3272(a,1),384(a,1,2))]. given #3130 (H,wt=27): 3277 K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. [para(3272(a,1),391(a,1,1)),flip(a)]. given #3131 (H,wt=32): 3156 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(3155(a,1),1526(a,1,1)),flip(a)]. given #3132 (H,wt=30): 3278 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(199,a,1559,a(flip),b,3156,a)]. given #3133 (H,wt=30): 3279 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(199,a,3050,a,b,3278,a(flip)),flip(a)]. given #3134 (H,wt=30): 3280 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(199,a,42,a,b,3279,a(flip)),flip(a)]. given #3135 (H,wt=22): 3281 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2033(a,1),3280(a,1,1)),flip(a)]. given #3136 (H,wt=22): 3282 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(68,a,919,a,b,3281,a)]. given #3137 (H,wt=18): 3284 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(199,a,2058,a(flip),b,3282,a(flip)),flip(a)]. given #3138 (H,wt=23): 3286 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(199,a,3155,a,b,3284,a),flip(a)]. given #3139 (H,wt=23): 3287 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1737(a,2),3286(a,1,2))]. given #3140 (H,wt=24): 3285 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3282(a,1),2503(a,1,1)),flip(a)]. given #3141 (H,wt=24): 3288 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3285(a,1),2462(a,1))]. given #3142 (H,wt=33): 2772 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2215(a,1),2750(a,1,2,2))]. given #3143 (H,wt=29): 3289 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2051(a,1),2772(a,1,1))]. given #3144 (H,wt=25): 3290 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3063(a,1),3289(a,1,1))]. given #3145 (H,wt=21): 3291 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(63(a,1),3290(a,2,2))]. given #3146 (H,wt=23): 3294 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3291(a,1),2850(a,1,2))]. given #3147 (H,wt=33): 3046 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1270(a,1),3023(a,1,1,1,1))]. given #3148 (H,wt=31): 3295 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1270(a,1),3046(a,2,1))]. given #3149 (H,wt=34): 2895 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(126(a,1),2886(a,1,2,1,1,2))]. given #3150 (H,wt=34): 3130 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3038(a,1),558(a,1,1))]. given #3151 (H,wt=30): 3296 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3233(a,1),3130(a,1,2))]. given #3152 (H,wt=24): 3297 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3296(a,1),403(a,1))]. given #3153 (H,wt=35): 2677 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(1133(a,1),2675(a,1,1,2)),flip(a)]. given #3154 (H,wt=29): 3298 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(952(a,1),2677(a,2,1))]. given #3155 (H,wt=25): 3299 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(199,a,2378,a(flip),b,3298,a)]. given #3156 (H,wt=17): 3300 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(199,a,3063,a(flip),b,3299,a(flip)),flip(a)]. given #3157 (H,wt=17): 3302 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(199,a,2782,a(flip),b,3300,a(flip)),flip(a)]. given #3158 (H,wt=19): 3303 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3302(a,1),1974(a,1,1))]. given #3159 (H,wt=21): 3304 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3302(a,2),2636(a,1,2))]. given #3160 (H,wt=21): 3305 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3064(a,1),3303(a,1,1))]. given #3161 (H,wt=16): 3306 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(199,a,2764,a(flip),b,3305,a(flip)),flip(a)]. given #3162 (H,wt=16): 3307 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(199,a,2918,a,b,3306,a)]. given #3163 (H,wt=16): 3309 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3306(a,2),2899(a,1,2))]. given #3164 (H,wt=16): 3311 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3307(a,2),63(a,1,1))]. given #3165 (H,wt=16): 3313 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(106(a,2),3307(a,2,2,1)),flip(a)]. given #3166 (H,wt=16): 3315 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(199,a,3050,a(flip),b,3309,a)]. given #3167 (H,wt=17): 3310 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(199,a,143,a,b,3307,a),flip(a)]. given #3168 (H,wt=17): 3316 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(146(a,2),3309(a,2,2)),flip(a)]. given #3169 (H,wt=18): 3314 x * (y * ((x \ y) / y)) = T(y,R(x \ 1,x,y)). [hyper(199,a,995,a,b,3309,a),flip(a)]. given #3170 (H,wt=18): 3318 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(63(a,1),3311(a,1,1,1))]. given #3171 (H,wt=14): 3321 R(x,1 / x,y) \ y = (x \ 1) * y. [para(63(a,1),3318(a,2,1,1))]. given #3172 (H,wt=14): 3322 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3321(a,1),60(a,1,2)),flip(a)]. given #3173 (H,wt=13): 3323 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(199,a,143,a,b,3322,a)]. given #3174 (H,wt=20): 3319 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(199,a,1800,a,b,3316,a(flip)),flip(a)]. given #3175 (H,wt=22): 3324 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3323(a,1),1972(a,1,1))]. given #3176 (H,wt=21): 3326 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(199,a,1972,a(flip),b,3324,a(flip))]. given #3177 (H,wt=22): 3327 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(826,a,3326,a),flip(a)]. given #3178 (H,wt=24): 3312 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3307(a,2),107(a,1,1))]. given #3179 (H,wt=24): 3320 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(13(a,1),3314(a,1,2,2,1)),flip(a)]. given #3180 (H,wt=24): 3325 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3310(a,2),3319(a,2,2)),flip(a)]. given #3181 (H,wt=24): 3329 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(199,a,42,a,b,3312,a(flip)),flip(a)]. given #3182 (H,wt=20): 3331 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2823(a,1),3329(a,1,1))]. given #3183 (H,wt=17): 3332 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(199,a,914,a(flip),b,3331,a(flip)),flip(a)]. given #3184 (H,wt=17): 3333 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(106(a,2),3332(a,2,1,1)),flip(a)]. given #3185 (H,wt=24): 3330 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1546(a,1),3325(a,2,1))]. given #3186 (H,wt=27): 3334 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3330(a,2),3092(a,1))]. given #3187 (H,wt=28): 3308 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(101(a,1),3306(a,2,1,1,2))]. given #3188 (H,wt=32): 3328 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3327(a,2),88(a,1,2,2))]. given #3189 (H,wt=35): 3335 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3308(a,1),440(a,1,1))]. given #3190 (H,wt=35): 3336 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2287,a,3335,a)]. given #3191 (H,wt=36): 2786 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1400(a,1),2701(a,2,1))]. given #3192 (H,wt=30): 3337 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3202(a,1),2786(a,1,1))]. given #3193 (H,wt=24): 3338 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(845(a,1),3337(a,2,1,2))]. given #3194 (H,wt=37): 2775 ((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(2754(a,1),429(a,1,1))]. given #3195 (H,wt=31): 3339 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2754(a,1),2775(a,1,2)),flip(a)]. given #3196 (H,wt=24): 3340 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(199,a,30,a,b,3339,a)]. given #3197 (H,wt=27): 3341 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3339(a,2),436(a,1))]. given #3198 (H,wt=34): 3342 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(106(a,2),3340(a,1,2,2))]. given #3199 (H,wt=30): 3343 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(2005(a,1),3342(a,1,3))]. given #3200 (H,wt=26): 3344 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(60(a,1),3343(a,2,3))]. given #3201 (H,wt=37): 2832 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(2831(a,1),2447(a,1,1)),flip(a)]. given #3202 (H,wt=30): 3345 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2831(a,1),2832(a,2,2,1,1))]. given #3203 (H,wt=24): 3346 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(199,a,3012,a(flip),b,3345,a)]. given #3204 (H,wt=18): 3348 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3012(a,1),3346(a,1,1))]. given #3205 (H,wt=25): 3349 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3348(a,1),3074(a,1,1))]. given #3206 (H,wt=23): 3350 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3071(a,1),3349(a,2,1))]. given #3207 (H,wt=23): 3352 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3350(a,1),14(a,1,2))]. given #3208 (H,wt=23): 3354 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(199,a,2266,a(flip),b,3352,a(flip)),flip(a)]. given #3209 (H,wt=37): 2844 ((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(2808(a,1),394(a,1,1))]. given #3210 (H,wt=31): 3355 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2808(a,1),2844(a,1,2)),flip(a)]. given #3211 (H,wt=27): 3356 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3355(a,2),403(a,1))]. given #3212 (H,wt=38): 3049 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2821(a,1),3045(a,1,1,1,1))]. given #3213 (H,wt=34): 3357 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3049(a,1,1,1))]. given #3214 (H,wt=37): 3359 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3357(a,1),20(a,1)),flip(a)]. given #3215 (H,wt=39): 2925 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(2815(a,2),2184(a,1,1))]. given #3216 (H,wt=32): 3360 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2919(a,1),2925(a,1,1))]. given #3217 (H,wt=39): 3139 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1213(a,1),3138(a,1,2,2))]. given #3218 (H,wt=25): 3361 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3088(a,1),3139(a,1,2)),flip(a)]. given #3219 (H,wt=23): 3362 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3133(a,1),3361(a,1,2))]. given #3220 (H,wt=19): 3363 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(13(a,1),3362(a,1,2,1,2,2,1))]. given #3221 (H,wt=17): 3364 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(105(a,1),3363(a,1,2,1,2))]. given #3222 (H,wt=13): 3365 x * (K(y,x) \ 1) = x / K(y,x). [para(26(a,2),3364(a,1,2,1))]. given #3223 (H,wt=13): 3366 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(3127,a,3365,a(flip)),flip(a)]. given #3224 (H,wt=13): 3367 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(73,a,3366,a)]. given #3225 (H,wt=13): 3368 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(68,a,3366,a(flip),b,3177,a)]. given #3226 (H,wt=15): 3371 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3366(a,1),3179(a,1,1))]. given #3227 (H,wt=15): 3374 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3371(a,1),14(a,1,2))]. given #3228 (H,wt=16): 3369 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3366(a,1),19(a,1))]. given #3229 (H,wt=17): 3373 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3368(a,1),846(a,1,2,1))]. given #3230 (H,wt=20): 3372 x * (K(y,x) \ 1) != z * u | z \ (K(y,x) \ x) = u. [para(3367(a,1),328(a,1,2))]. given #3231 (H,wt=21): 3376 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(199,a,229,a(flip),b,3373,a(flip))]. given #3232 (H,wt=21): 3377 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(199,a,355,a(flip),b,3376,a(flip))]. given #3233 (H,wt=22): 3375 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3374(a,1),2738(a,1,1)),flip(a)]. given #3234 (H,wt=20): 3378 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(199,a,3377,a(flip),b,3375,a)]. given #3235 (H,wt=27): 3370 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [para(3132(a,2),3366(a,1,2))]. given #3236 (H,wt=27): 3379 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3378(a,1),2510(a,1,2,2))]. given #3237 (H,wt=19): 3380 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(499,a,3379,a),flip(a)]. given #3238 (H,wt=11): 3381 K(x,(y \ 1) \ 1) = K(x,y). [hyper(559,a,3380,a(flip))]. given #3239 (H,wt=11): 3385 K(x,1 / y) = K(x,y \ 1). [para(63(a,1),3381(a,1,2,1)),flip(a)]. given #3240 (H,wt=11): 3386 K(x,1 / (1 / y)) = K(x,y). [para(127(a,1),3381(a,1,2)),flip(a)]. given #3241 (H,wt=11): 3387 K(x,T(y,1 / y)) = K(x,y). [para(1993(a,2),3381(a,1,2))]. given #3242 (H,wt=13): 3384 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(3219,a,3381,a)]. given #3243 (H,wt=14): 3382 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3380(a,2),559(a,1))]. given #3244 (H,wt=15): 3383 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(3220,a,3381,a),flip(a)]. given #3245 (H,wt=15): 3388 K(x,T(y / z,z / y)) = K(x,y / z). [para(2035(a,2),3381(a,1,2))]. given #3246 (H,wt=15): 3389 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2369(a,2),3381(a,1,2))]. given #3247 (H,wt=17): 3393 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3385(a,1),2315(a,2,1))]. given #3248 (H,wt=17): 3394 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3385(a,2),3035(a,2,2))]. given #3249 (H,wt=17): 3397 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2391(a,2),3384(a,1,1))]. given #3250 (H,wt=17): 3399 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [para(3385(a,1),3393(a,1,2))]. given #3251 (H,wt=19): 3390 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(2911(a,1),3381(a,1,2)),flip(a)]. given #3252 (H,wt=19): 3398 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2874(a,1),3383(a,1,1))]. given #3253 (H,wt=19): 3400 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2840(a,1),3397(a,1,1,1))]. given #3254 (H,wt=21): 3391 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3381(a,1),3035(a,2,2))]. given #3255 (H,wt=17): 3403 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [para(3381(a,1),3391(a,1,2))]. given #3256 (H,wt=19): 3404 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(199,a,2853,a,b,3403,a(flip)),flip(a)]. given #3257 (H,wt=23): 3396 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(2627(a,1),3386(a,1,2))]. given #3258 (H,wt=23): 3402 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(199,a,874,a,b,3398,a(flip)),flip(a)]. given #3259 (H,wt=32): 3401 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(199,a,3328,a,b,3390,a(flip)),flip(a)]. given #3260 (H,wt=39): 3190 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3189(a,1),1815(a,2,2,1,2)),flip(a)]. given #3261 (H,wt=33): 3405 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3012(a,1),3190(a,2,1))]. given #3262 (H,wt=40): 3172 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(2986(a,2),868(a,1,1,2))]. given #3263 (H,wt=40): 3196 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(199,a,423,a,b,2891,a),flip(a)]. given #3264 (H,wt=36): 3406 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(63(a,1),3196(a,1,1,3))]. given #3265 (H,wt=36): 3407 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2685(a,1),3406(a,1,1))]. given #3266 (H,wt=42): 1792 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),1791(a,1,1)),flip(a)]. given #3267 (H,wt=37): 3408 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(30(a,2),1792(a,2,2,1,1))]. given #3268 (H,wt=33): 3409 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1534(a,1),3408(a,1,1))]. given #3269 (H,wt=31): 3410 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1564(a,1),3409(a,1,1,1))]. given #3270 (H,wt=26): 3411 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(436,a,3410,a),flip(a)]. given #3271 (H,wt=27): 3412 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(646(a,1),3411(a,2,1,2))]. given #3272 (H,wt=26): 3414 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1506(a,1),3412(a,1,2))]. given #3273 (H,wt=24): 3415 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(128(a,1),3414(a,2,1,2))]. given #3274 (H,wt=24): 3416 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(2001(a,2),3415(a,2,1))]. given #3275 (H,wt=34): 3413 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(1018(a,1),3411(a,1,2))]. given #3276 (H,wt=32): 3417 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(12(a,1),3413(a,1,2,2)),flip(a)]. given #3277 (H,wt=28): 3418 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3287(a,1),3417(a,1,1)),flip(a)]. given #3278 (H,wt=27): 3419 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3284(a,1),3418(a,2,1))]. given #3279 (H,wt=27): 3420 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(199,a,3157,a(flip),b,3419,a)]. given #3280 (H,wt=17): 3421 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,2001,a(flip),b,3420,a)]. given #3281 (H,wt=17): 3422 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(199,a,3216,a,b,3421,a(flip)),flip(a)]. given #3282 (H,wt=17): 3423 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3422(a,1),60(a,1,2)),flip(a)]. given #3283 (H,wt=17): 3425 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(60(a,1),3423(a,1,1,2)),flip(a)]. given #3284 (H,wt=17): 3426 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3425(a,1),127(a,1,1,1))]. given #3285 (H,wt=17): 3427 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3425(a,1),2897(a,1,2))]. given #3286 (H,wt=17): 3428 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(60(a,1),3426(a,1,1,1,1)),flip(a)]. given #3287 (H,wt=17): 3429 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(60(a,1),3427(a,1,2,1)),flip(a)]. given #3288 (H,wt=21): 3424 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2215(a,1),3422(a,1,1,1))]. given #3289 (H,wt=22): 3430 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(443(a,1),3428(a,2,1,1))]. given #3290 (H,wt=22): 3432 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2686(a,1),3428(a,2,1,1))]. given #3291 (H,wt=17): 3434 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(199,a,2706,a,b,3432,a(flip)),flip(a)]. given #3292 (H,wt=24): 3433 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(634(a,1),3424(a,1,1)),flip(a)]. given #3293 (H,wt=30): 3431 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3428(a,2),2226(a,1,1))]. given #3294 (H,wt=27): 3435 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(212,a,3431,a),flip(a)]. given #3295 (H,wt=27): 3436 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2225(a,1),3435(a,2,1))]. given #3296 (H,wt=30): 3438 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(199,a,2895,a(flip),b,3436,a(flip)),flip(a)]. given #3297 (H,wt=30): 3439 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3428(a,2),3438(a,1,1))]. given #3298 (H,wt=24): 3440 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3077(a,1),3439(a,2,1))]. given #3299 (H,wt=31): 3437 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(199,a,3336,a(flip),b,3436,a(flip)),flip(a)]. given #3300 (H,wt=25): 3442 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3077(a,1),3437(a,2,1))]. given #3301 (H,wt=35): 3441 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3430(a,1),3440(a,1,1))]. given #3302 (H,wt=31): 3443 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),3441(a,1,2,1))]. given #3303 (H,wt=29): 3444 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1356,a,3443,a),flip(a)]. given #3304 (H,wt=42): 2642 (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(121(a,1),2640(a,1,1)),flip(a)]. given #3305 (H,wt=35): 3446 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(121(a,1),2642(a,1,2,2,2,2))]. given #3306 (H,wt=31): 3447 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(3204,a,3446,a),flip(a)]. given #3307 (H,wt=31): 3449 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3205(a,1),3447(a,2,2))]. given #3308 (H,wt=29): 3450 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(52(a,1),3449(a,2,2,2,2,2,2,2))]. given #3309 (H,wt=25): 3452 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(60(a,1),3450(a,2,2,2,2,2))]. given #3310 (H,wt=25): 3453 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(2001(a,2),3452(a,2,2,2))]. given #3311 (H,wt=28): 3454 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3453(a,1),19(a,1)),flip(a)]. given #3312 (H,wt=44): 1279 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(1272(a,1),1057(a,2,2))]. given #3313 (H,wt=42): 3455 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(2512(a,1),1279(a,1,1,2))]. given #3314 (H,wt=32): 3456 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(16(a,1),3455(a,1,1,2))]. given #3315 (H,wt=24): 3458 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1272(a,1),3456(a,1,1)),flip(a)]. given #3316 (H,wt=24): 3460 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3458(a,1),3295(a,1,1))]. given #3317 (H,wt=26): 3461 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(68,a,3460,a(flip),b,3254,a)]. given #3318 (H,wt=19): 3462 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2532,a,3461,a),flip(a)]. given #3319 (H,wt=19): 3463 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3462(a,1),2373(a,1,1))]. given #3320 (H,wt=19): 3464 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3288,a,3463,a)]. given #3321 (H,wt=22): 3465 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(199,a,3222,a,b,3464,a(flip)),flip(a)]. given #3322 (H,wt=22): 3467 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3465(a,1),14(a,1,2))]. given #3323 (H,wt=22): 3468 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(199,a,3423,a(flip),b,3467,a)]. given #3324 (H,wt=20): 3469 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1954,a,b,3468,a),flip(a)]. given #3325 (H,wt=20): 3470 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(300,a,3469,a)]. given #3326 (H,wt=22): 3472 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3470(a,1),3442(a,1,1))]. given #3327 (H,wt=23): 3466 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3464(a,1),2448(a,1,1))]. given #3328 (H,wt=23): 3471 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3470(a,1),275(a,1))]. given #3329 (H,wt=25): 3473 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3472(a,1),20(a,1))]. given #3330 (H,wt=26): 3474 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3085(a,1),3472(a,1,1))]. given #3331 (H,wt=22): 3476 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2043(a,1),3474(a,2,1,2))]. given #3332 (H,wt=25): 3477 K(x,R(x \ 1,y,z)) * (y * z) != u * z | y * K(x,x \ 1) = u. [para(3476(a,2),20(a,1))]. given #3333 (H,wt=27): 3475 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3085(a,1),3466(a,1,1)),flip(a)]. given #3334 (H,wt=24): 3478 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(199,a,3469,a(flip),b,3475,a(flip))]. given #3335 (H,wt=20): 3479 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(199,a,3085,a(flip),b,3478,a)]. given #3336 (H,wt=25): 3480 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3479(a,1),101(a,1,1)),flip(a)]. given #3337 (H,wt=13): 3481 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(391,a,3480,a)]. given #3338 (H,wt=18): 3482 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,3476,a(flip),b,3480,a)]. given #3339 (H,wt=14): 3483 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,2234,a,b,3482,a)]. given #3340 (H,wt=10): 3487 L(x,y,K(z,z \ 1)) = x. [para(3483(a,1),3481(a,1,3))]. given #3341 (H,wt=10): 3496 L(x,y,K(z,1 / z)) = x. [para(2000(a,2),3487(a,1,3))]. given #3342 (H,wt=10): 3497 L(x,y,K(z \ 1,z)) = x. [para(2005(a,1),3487(a,1,3))]. given #3343 (H,wt=12): 3499 L(x,y,K(z \ u,u \ z)) = x. [para(2349(a,1),3487(a,1,3))]. given #3344 (H,wt=13): 3503 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3356,a,3497,a),flip(a)]. given #3345 (H,wt=13): 3514 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(60(a,1),3503(a,1,3)),flip(a)]. given #3346 (H,wt=15): 3506 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(199,a,2299,a(flip),b,3497,a(flip))]. given #3347 (H,wt=16): 3511 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3497(a,1),3356(a,1))]. given #3348 (H,wt=17): 3494 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3487(a,1),347(a,1,2)),flip(a)]. given #3349 (H,wt=17): 3498 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3487(a,1),2081(a,1,2)),flip(a)]. given #3350 (H,wt=17): 3502 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3496(a,1),347(a,1,2)),flip(a)]. given #3351 (H,wt=17): 3515 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3297,a,3514,a)]. given #3352 (H,wt=17): 3516 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(2778,a,3506,a)]. given #3353 (H,wt=17): 3521 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2237,a,3498,a)]. given #3354 (H,wt=17): 3523 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(521,a,3521,a),flip(a)]. given #3355 (H,wt=17): 3525 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3523(a,1),63(a,1,1))]. given #3356 (H,wt=19): 3486 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3483(a,1),3476(a,1,1)),flip(a)]. given #3357 (H,wt=19): 3491 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(199,a,2747,a(flip),b,3487,a(flip)),flip(a)]. given #3358 (H,wt=19): 3492 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(199,a,94,a(flip),b,3487,a(flip)),flip(a)]. given #3359 (H,wt=19): 3493 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3487(a,1),92(a,1,2))]. given #3360 (H,wt=14): 3534 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(427,a,3493,a)]. given #3361 (H,wt=19): 3495 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3487(a,1),456(a,1,2))]. given #3362 (H,wt=19): 3501 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3496(a,1),92(a,1,2))]. given #3363 (H,wt=19): 3505 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(199,a,2770,a(flip),b,3497,a(flip))]. given #3364 (H,wt=17): 3541 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(12(a,1),3505(a,2,2))]. given #3365 (H,wt=19): 3507 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(199,a,94,a(flip),b,3497,a(flip)),flip(a)]. given #3366 (H,wt=19): 3508 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3497(a,1),92(a,1,2))]. given #3367 (H,wt=19): 3509 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3497(a,1),456(a,1,2))]. given #3368 (H,wt=17): 3549 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(704(a,1),3509(a,1,1)),flip(a)]. given #3369 (H,wt=17): 3550 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1967(a,1),3509(a,1,1)),flip(a)]. given #3370 (H,wt=17): 3551 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2762,a,3549,a)]. given #3371 (H,wt=19): 3528 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2753(a,1),3486(a,1,1)),flip(a)]. given #3372 (H,wt=17): 3553 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(326,a,3528,a),flip(a)]. given #3373 (H,wt=17): 3554 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2246(a,1),3553(a,1,1))]. given #3374 (H,wt=19): 3531 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2740(a,1),3491(a,1,1)),flip(a)]. given #3375 (H,wt=19): 3532 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2740(a,1),3492(a,1,1)),flip(a)]. given #3376 (H,wt=19): 3539 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(199,a,2243,a(flip),b,3501,a)]. given #3377 (H,wt=19): 3544 (K(x \ 1,x) * y) \ z = y \ (K(x,x \ 1) * z). [para(2745(a,1),3507(a,1,2))]. given #3378 (H,wt=19): 3547 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(2246(a,1),3508(a,1,1))]. given #3379 (H,wt=14): 3558 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3473,a,3547,a)]. given #3380 (H,wt=17): 3560 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(69,a,62,a(flip),b,3547,a),flip(a)]. given #3381 (H,wt=17): 3566 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3471,a,3558,a)]. given #3382 (H,wt=19): 3556 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(69,a,81,a(flip),b,3539,a)]. given #3383 (H,wt=19): 3571 K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. [para(3566(a,1),1947(a,1,1))]. given #3384 (H,wt=20): 3490 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(199,a,2511,a,b,3487,a(flip)),flip(a)]. given #3385 (H,wt=20): 3520 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3494(a,1),2237(a,1))]. given #3386 (H,wt=20): 3569 K(x \ 1,x) / y != (1 / y) * z | K(x \ 1,x) = z. [para(3560(a,1),19(a,1))]. given #3387 (H,wt=21): 3536 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(199,a,3416,a,b,3534,a(flip)),flip(a)]. given #3388 (H,wt=21): 3542 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2839(a,1),3505(a,1,1)),flip(a)]. given #3389 (H,wt=21): 3548 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3509(a,1),107(a,1,1))]. given #3390 (H,wt=21): 3552 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(181(a,1),3550(a,1,2)),flip(a)]. given #3391 (H,wt=21): 3567 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3558(a,1),1275(a,1,2))]. given #3392 (H,wt=15): 3580 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,2841,a,b,3567,a),flip(a)]. given #3393 (H,wt=13): 3582 R(x,y,z) / x = x \ R(x,y,z). [hyper(1019,a,3580,a)]. given #3394 (H,wt=13): 3585 (x \ R(x,y,z)) * x = R(x,y,z). [para(3580(a,1),1016(a,1,1))]. given #3395 (H,wt=10): 3588 T(x,x \ R(x,y,z)) = x. [hyper(239,a,3585,a)]. given #3396 (H,wt=19): 3583 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [hyper(521,a,3580,a),flip(a)]. given #3397 (H,wt=21): 3573 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(68,a,3571,a(flip),b,2838,a),flip(a)]. given #3398 (H,wt=19): 3590 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(199,a,3213,a(flip),b,3573,a)]. given #3399 (H,wt=21): 3574 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(3571(a,1),2744(a,1,1))]. given #3400 (H,wt=22): 3557 (K(x,1 / x) * y) * z != u * K(x,1 / x) | y * z = u. [para(3539(a,2),20(a,1))]. given #3401 (H,wt=23): 3512 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3499(a,1),92(a,1,2))]. given #3402 (H,wt=23): 3555 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(199,a,106,a,b,3531,a),flip(a)]. given #3403 (H,wt=23): 3587 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3582(a,1),453(a,1,1))]. given #3404 (H,wt=23): 3592 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2368(a,1),3512(a,1,1))]. given #3405 (H,wt=24): 3577 K(x,x \ 1) != R(x,y,z) * u | (1 / x) * (R(x,y,z) \ x) = u. [para(3536(a,1),19(a,1))]. given #3406 (H,wt=24): 3591 (R(x,y,z) \ 1) * ((x \ 1) \ 1) != u * x | 1 / R(x,y,z) = u. [para(3574(a,2),20(a,1))]. given #3407 (H,wt=24): 3594 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3592(a,2),139(a,1)),flip(b)]. given #3408 (H,wt=25): 3589 ((x \ y) \ 1) \ R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [hyper(199,a,1538,a(flip),b,3583,a)]. given #3409 (H,wt=23): 3595 x \ (y * R(y \ x,z,z \ 1)) = a((x \ y) \ 1,z,z \ 1). [hyper(604,a,3589,a),flip(a)]. given #3410 (H,wt=26): 3522 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(199,a,94,a(flip),b,3515,a(flip))]. given #3411 (H,wt=26): 3527 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(69,a,3486,a(flip),b,101,a)]. given #3412 (H,wt=17): 3596 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(199,a,2298,a(flip),b,3527,a(flip))]. given #3413 (H,wt=21): 3597 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(2005(a,1),3596(a,1,2)),flip(a)]. given #3414 (H,wt=17): 3598 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(2005(a,1),3597(a,1,3)),flip(a)]. given #3415 (H,wt=26): 3538 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3495(a,1),2758(a,1,1))]. given #3416 (H,wt=26): 3546 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3508(a,1),30(a,2,1,1)),flip(a)]. given #3417 (H,wt=26): 3599 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3508(a,1),3546(a,1,1))]. given #3418 (H,wt=26): 3600 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(199,a,3509,a(flip),b,3599,a(flip)),flip(a)]. given #3419 (H,wt=21): 3601 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3600(a,1,2)),flip(a)]. given #3420 (H,wt=21): 3603 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2759,a,3601,a(flip))]. given #3421 (H,wt=19): 3604 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1947(a,1),3603(a,1,2,1))]. given #3422 (H,wt=21): 3605 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2745(a,1),3603(a,1,2,1)),flip(a)]. given #3423 (H,wt=21): 3606 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(199,a,2234,a(flip),b,3605,a)]. given #3424 (H,wt=27): 3578 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3542(a,1),3405(a,1,2,1)),flip(a)]. given #3425 (H,wt=27): 3602 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(199,a,3195,a(flip),b,3601,a)]. given #3426 (H,wt=17): 3608 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2736(a,1),3602(a,1,1)),flip(a)]. given #3427 (H,wt=17): 3609 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3608(a,1,1,2,1)),flip(a)]. given #3428 (H,wt=17): 3610 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(69,a,3609,a,b,xx)]. given #3429 (H,wt=17): 3614 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(64(a,1),3610(a,1,1,1)),flip(a)]. given #3430 (H,wt=17): 3616 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3614(a,1),14(a,1,2)),flip(a)]. given #3431 (H,wt=22): 3611 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(443(a,1),3609(a,2,1,2))]. given #3432 (H,wt=22): 3613 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2686(a,1),3609(a,2,1,2))]. given #3433 (H,wt=17): 3619 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(199,a,3338,a(flip),b,3613,a(flip))]. given #3434 (H,wt=13): 3622 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3619(a,1,1)),flip(a)]. given #3435 (H,wt=13): 3623 x * (y \ T(y,x)) = (y * x) / y. [hyper(79,a,3622,a),flip(a)]. given #3436 (H,wt=13): 3625 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(18,a,105,a(flip),b,3622,a)]. given #3437 (H,wt=13): 3626 (x \ T(x,y)) * y = (x * y) / x. [hyper(2980,a,3623,a)]. given #3438 (H,wt=13): 3627 x \ ((y * x) / y) = y \ T(y,x). [hyper(73,a,3623,a)]. given #3439 (H,wt=13): 3629 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(68,a,150,a(flip),b,3623,a)]. given #3440 (H,wt=13): 3631 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,3042,a,b,3623,a),flip(a)]. given #3441 (H,wt=13): 3634 ((x * y) / x) \ y = T(x,y) \ x. [para(3623(a,1),3171(a,1,1))]. given #3442 (H,wt=13): 3635 (T(x,y) \ x) * ((x * y) / x) = y. [para(3623(a,1),3251(a,1,2))]. given #3443 (H,wt=13): 3636 T(x,T(y,x)) \ x = y \ T(y,x). [para(3625(a,1),3171(a,1,1)),flip(a)]. given #3444 (H,wt=13): 3640 x * (T(y,x) \ y) = T(x,T(y,x)). [para(3629(a,2),14(a,1,2))]. given #3445 (H,wt=13): 3647 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(3636(a,1),14(a,1,2))]. given #3446 (H,wt=13): 3648 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3636(a,1),2956(a,1,1))]. given #3447 (H,wt=14): 3643 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3631(a,1),3078(a,1,1))]. given #3448 (H,wt=15): 3624 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(69,a,14,a(flip),b,3622,a),flip(a)]. given #3449 (H,wt=15): 3632 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3623(a,1),2313(a,1,1))]. given #3450 (H,wt=15): 3644 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(14(a,1),3634(a,1,1,1)),flip(a)]. given #3451 (H,wt=15): 3652 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(106(a,1),3624(a,1,2,2))]. given #3452 (H,wt=16): 3638 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3627(a,1),408(a,1,1))]. given #3453 (H,wt=13): 3654 K(T(x,y),y) = K(x,(x * y) / x). [hyper(199,a,3643,a(flip),b,3638,a(flip)),flip(a)]. given #3454 (H,wt=13): 3656 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(150(a,1),3654(a,2,2))]. given #3455 (H,wt=16): 3639 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3627(a,1),1479(a,1,1)),flip(a)]. given #3456 (H,wt=12): 3657 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(199,a,2994,a(flip),b,3639,a)]. given #3457 (H,wt=14): 3660 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3310(a,1),3657(a,1,2))]. given #3458 (H,wt=13): 3663 T(x,x / (x * y)) = T(x,y \ 1). [hyper(199,a,3315,a(flip),b,3660,a(flip)),flip(a)]. given #3459 (H,wt=15): 3658 T(x,R(y,y \ 1,x)) != z | T(x,y) = z. [para(3639(a,2),3013(a,1))]. given #3460 (H,wt=15): 3664 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(68,a,3660,a(flip),b,3314,a)]. given #3461 (H,wt=15): 3665 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1893,a,3663,a)]. given #3462 (H,wt=15): 3668 x * K(x,(x / y) / x) = T(x,y \ 1). [hyper(199,a,1549,a,b,3663,a(flip)),flip(a)]. given #3463 (H,wt=15): 3669 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(69,a,3663,a(flip),b,1889,a)]. given #3464 (H,wt=15): 3670 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(68,a,3663,a(flip),b,1549,a),flip(a)]. given #3465 (H,wt=15): 3675 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(68,a,3664,a,b,xx)]. given #3466 (H,wt=16): 3650 T(x,T(y,x)) \ x != z | y \ T(y,x) = z. [para(3647(a,1),254(a,1,2)),flip(b)]. given #3467 (H,wt=16): 3655 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(150(a,1),3638(a,2,2)),flip(a)]. given #3468 (H,wt=17): 3628 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(68,a,358,a(flip),b,3623,a),flip(a)]. given #3469 (H,wt=15): 3687 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(107(a,1),3628(a,1,2))]. given #3470 (H,wt=15): 3688 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(199,a,3644,a,b,3687,a(flip)),flip(a)]. given #3471 (H,wt=15): 3689 x / (x / y) = y * (T(y,y \ x) \ y). [para(3688(a,2),14(a,1,2)),flip(a)]. given #3472 (H,wt=17): 3630 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,3048,a,b,3623,a),flip(a)]. given #3473 (H,wt=17): 3651 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3011(a,1),3648(a,1,1))]. given #3474 (H,wt=17): 3671 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3663(a,1),1890(a,1,2)),flip(a)]. given #3475 (H,wt=17): 3673 T(x,R(y \ 1,y,x)) != z | T(x,y \ 1) = z. [para(3310(a,1),3658(a,1,2))]. given #3476 (H,wt=17): 3677 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(63(a,1),3664(a,2,2,1))]. given #3477 (H,wt=17): 3682 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(60(a,1),3669(a,2,2,1))]. given #3478 (H,wt=17): 3683 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(63(a,1),3669(a,1,1,2))]. given #3479 (H,wt=17): 3691 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(13(a,1),3689(a,2,2,1,2))]. given #3480 (H,wt=17): 3698 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(68,a,3683,a,b,xx)]. given #3481 (H,wt=17): 3699 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(199,a,983,a(flip),b,3691,a(flip)),flip(a)]. given #3482 (H,wt=18): 3649 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [hyper(199,a,3370,a(flip),b,3640,a(flip))]. given #3483 (H,wt=18): 3653 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3652(a,1),254(a,1,2)),flip(b)]. given #3484 (H,wt=18): 3661 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3657(a,1),3334(a,1))]. given #3485 (H,wt=18): 3676 x \ T(y,x \ 1) != y * z | (x \ y) / y = z. [para(3664(a,2),19(a,1))]. given #3486 (H,wt=18): 3678 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(313(a,2),3664(a,2,2)),flip(a)]. given #3487 (H,wt=18): 3681 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(3668(a,1),254(a,1,2)),flip(b)]. given #3488 (H,wt=18): 3690 x * (T(x,x \ y) \ x) != z | y / (y / x) = z. [para(3688(a,2),211(a,1,2)),flip(b)]. given #3489 (H,wt=19): 3633 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3011(a,1),3623(a,1,2)),flip(a)]. given #3490 (H,wt=19): 3662 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(199,a,3320,a(flip),b,3660,a(flip)),flip(a)]. given #3491 (H,wt=19): 3672 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3663(a,1),1905(a,1,1,2))]. given #3492 (H,wt=19): 3680 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(181(a,1),3668(a,1,2,2,1)),flip(a)]. given #3493 (H,wt=19): 3692 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(199,a,1022,a,b,3630,a(flip)),flip(a)]. given #3494 (H,wt=19): 3697 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(199,a,870,a(flip),b,3677,a(flip)),flip(a)]. given #3495 (H,wt=19): 3705 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(17,a,869,a,b,3662,a),flip(a)]. given #3496 (H,wt=19): 3706 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(199,a,3670,a(flip),b,3672,a),flip(a)]. given #3497 (H,wt=19): 3709 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(199,a,2882,a(flip),b,3705,a(flip))]. given #3498 (H,wt=18): 3711 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(143(a,2),3709(a,1,2))]. given #3499 (H,wt=20): 3637 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3626(a,1),126(a,1,2,1))]. given #3500 (H,wt=20): 3641 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3629(a,2),3004(a,1,1))]. given #3501 (H,wt=20): 3700 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3691(a,2),19(a,1))]. given #3502 (H,wt=21): 3674 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(68,a,3664,a,b,251,a)]. given #3503 (H,wt=21): 3685 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3670(a,1),2584(a,1,1))]. given #3504 (H,wt=21): 3714 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(199,a,3670,a(flip),b,3685,a)]. given #3505 (H,wt=22): 3679 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(3664(a,2),103(a,1,1,1)),flip(a)]. given #3506 (H,wt=22): 3686 x * ((y \ x) / x) != z * u | z \ (y \ T(x,y \ 1)) = u. [para(3675(a,1),328(a,1,2))]. given #3507 (H,wt=22): 3707 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3680(a,2),19(a,1))]. given #3508 (H,wt=23): 3618 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(69,a,3611,a(flip),b,329,a)]. given #3509 (H,wt=23): 3620 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(69,a,3613,a(flip),b,2683,a),flip(a)]. given #3510 (H,wt=21): 3715 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(199,a,1402,a(flip),b,3620,a(flip)),flip(a)]. given #3511 (H,wt=23): 3693 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(199,a,2600,a(flip),b,3630,a(flip)),flip(a)]. given #3512 (H,wt=21): 3716 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3630(a,1),3693(a,1,1))]. given #3513 (H,wt=23): 3694 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3630(a,1),1933(a,2,2,1))]. given #3514 (H,wt=23): 3717 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3670(a,1),3694(a,1,1))]. given #3515 (H,wt=24): 3615 (x \ R(y,z,u)) * x != w * v5 | R((x \ y) * x,z,u) / v5 = w. [para(3610(a,1),323(a,1,1))]. given #3516 (H,wt=24): 3684 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3669(a,2),145(a,2,1))]. given #3517 (H,wt=24): 3701 x * ((x / (1 / y)) / x) != z * u | z \ (T(x,y) / (1 / y)) = u. [para(3698(a,1),328(a,1,2))]. given #3518 (H,wt=24): 3703 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(63(a,1),3678(a,2,2,2))]. given #3519 (H,wt=24): 3708 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3697(a,1),378(a,1,2))]. given #3520 (H,wt=24): 3718 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3326(a,1),3703(a,1,2))]. given #3521 (H,wt=23): 3719 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3718(a,1),3401(a,1,2)),flip(a)]. given #3522 (H,wt=19): 3720 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(199,a,3402,a(flip),b,3719,a),flip(a)]. given #3523 (H,wt=25): 3704 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1399(a,1),3633(a,2,2))]. given #3524 (H,wt=25): 3712 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(69,a,3711,a(flip),b,736,a),flip(a)]. given #3525 (H,wt=21): 3723 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(199,a,3632,a(flip),b,3712,a(flip)),flip(a)]. given #3526 (H,wt=18): 3724 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(199,a,1637,a(flip),b,3723,a(flip)),flip(a)]. given #3527 (H,wt=22): 3725 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),3724(a,1,1,1)),flip(a)]. given #3528 (H,wt=18): 3726 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),3725(a,1,1,1)),flip(a)]. given #3529 (H,wt=25): 3721 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(199,a,2859,a,b,3704,a(flip)),flip(a)]. given #3530 (H,wt=26): 3642 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3631(a,1),515(a,1,1,1))]. given #3531 (H,wt=26): 3646 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3359,a,3635,a)]. given #3532 (H,wt=27): 3607 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3103(a,1),3578(a,2,2))]. given #3533 (H,wt=25): 3727 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(199,a,221,a(flip),b,3607,a),flip(a)]. given #3534 (H,wt=27): 3713 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3641(a,1),790(a,1,1))]. given #3535 (H,wt=23): 3728 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),3713(a,2,1))]. given #3536 (H,wt=28): 3518 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(2816(a,2),3511(a,1))]. given #3537 (H,wt=22): 3729 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(3518,a,3646,a)]. given #3538 (H,wt=22): 3730 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2822(a,1),3729(a,2,1))]. given #3539 (H,wt=19): 3731 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(199,a,3726,a(flip),b,3730,a(flip))]. given #3540 (H,wt=21): 3732 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3731(a,1),2494(a,1,2,1))]. given #3541 (H,wt=28): 3612 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(3609(a,2),1404(a,1,1))]. given #3542 (H,wt=25): 3733 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(212,a,3612,a),flip(a)]. given #3543 (H,wt=25): 3734 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(784(a,1),3733(a,1,2))]. given #3544 (H,wt=23): 3735 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(105(a,1),3734(a,1,2,2)),flip(a)]. given #3545 (H,wt=28): 3710 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3033(a,1),3706(a,1,2,2,1)),flip(a)]. given #3546 (H,wt=28): 3722 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3704(a,2),19(a,1))]. given #3547 (H,wt=28): 3736 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(199,a,3714,a,b,3710,a)]. given #3548 (H,wt=24): 3737 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2899(a,1),3736(a,2,1,2))]. given #3549 (H,wt=29): 3621 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3613(a,1),3407(a,1,1)),flip(a)]. given #3550 (H,wt=27): 3738 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3621(a,2,1,1,2))]. given #3551 (H,wt=23): 3739 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(63(a,1),3738(a,2,2))]. given #3552 (H,wt=29): 3702 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3699(a,1),1220(a,2,2,1,2))]. given #3553 (H,wt=25): 3740 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(199,a,1388,a(flip),b,3702,a(flip))]. given #3554 (H,wt=23): 3741 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(105(a,1),3740(a,2,1,2))]. given #3555 (H,wt=30): 3645 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3634(a,1),1265(a,1,2,2,1))]. given #3556 (H,wt=28): 3742 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3634(a,1),3645(a,2,2))]. given #3557 (H,wt=31): 3543 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3505(a,1),2861(a,1))]. given #3558 (H,wt=31): 3579 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2857(a,1),3548(a,1,1))]. given #3559 (H,wt=31): 3695 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3630(a,1),1903(a,2,2,1))]. given #3560 (H,wt=31): 3696 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3671(a,1),2735(a,2,1,2))]. given #3561 (H,wt=29): 3744 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2648(a,1),3696(a,1,1,1))]. given #3562 (H,wt=27): 3745 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3551(a,1),3744(a,1,1,1))]. given #3563 (H,wt=25): 3746 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(107(a,1),3745(a,1,1))]. given #3564 (H,wt=21): 3747 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3675(a,1),3746(a,2,1))]. given #3565 (H,wt=17): 3748 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(199,a,16,a(flip),b,3747,a)]. given #3566 (H,wt=17): 3749 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(18,a,2751,a(flip),b,3747,a),flip(a)]. given #3567 (H,wt=19): 3752 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3748(a,1),2700(a,1,1)),flip(a)]. given #3568 (H,wt=20): 3750 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. [para(3747(a,2),207(a,1)),flip(b)]. given #3569 (H,wt=21): 3753 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(3749(a,1),3486(a,1,1)),flip(a)]. given #3570 (H,wt=23): 3754 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3753(a,1),2929(a,1,2))]. given #3571 (H,wt=26): 3755 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(3753(a,1),2930(a,1,1))]. given #3572 (H,wt=31): 3743 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3579(a,2),3543(a,1))]. given #3573 (H,wt=32): 3562 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3547(a,1),28(a,2,1)),flip(a)]. given #3574 (H,wt=32): 3565 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3547(a,1),2842(a,1,1))]. given #3575 (H,wt=32): 3572 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(199,a,446,a,b,3556,a(flip)),flip(a)]. given #3576 (H,wt=32): 3756 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3547(a,1),3562(a,1,2))]. given #3577 (H,wt=24): 3758 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(719,a,3756,a)]. given #3578 (H,wt=15): 3759 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(199,a,3497,a(flip),b,3758,a(flip))]. given #3579 (H,wt=15): 3761 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2246(a,2),3759(a,1,3))]. given #3580 (H,wt=17): 3762 L(x,y,(1 / z) \ u) = L(x,y,(z \ 1) \ u). [para(2836(a,1),3759(a,1,3))]. given #3581 (H,wt=17): 3763 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2825(a,1),3761(a,1,3)),flip(a)]. given #3582 (H,wt=32): 3757 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(199,a,3509,a(flip),b,3565,a(flip)),flip(a)]. given #3583 (H,wt=33): 3524 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(572(a,1),3521(a,1,1)),flip(a)]. given #3584 (H,wt=29): 3764 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(2005(a,1),3524(a,2,2))]. given #3585 (H,wt=25): 3765 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(60(a,1),3764(a,1,1))]. given #3586 (H,wt=15): 3766 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(199,a,3748,a(flip),b,3765,a)]. given #3587 (H,wt=19): 3767 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(241(a,1),3766(a,1,2,2,2))]. given #3588 (H,wt=17): 3768 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(199,a,3552,a(flip),b,3767,a(flip)),flip(a)]. given #3589 (H,wt=21): 3771 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3768(a,1),3528(a,1,2,1))]. given #3590 (H,wt=17): 3772 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(199,a,2849,a(flip),b,3771,a(flip)),flip(a)]. given #3591 (H,wt=17): 3773 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3772(a,1),3739(a,1,1))]. given #3592 (H,wt=20): 3774 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(3773(a,1),19(a,1))]. given #3593 (H,wt=34): 3561 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3547(a,1),24(a,2,1)),flip(a)]. given #3594 (H,wt=34): 3775 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3547(a,1),3561(a,1,2,1))]. given #3595 (H,wt=34): 3776 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3508(a,1),3775(a,1,2))]. given #3596 (H,wt=26): 3777 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(720,a,3776,a)]. given #3597 (H,wt=15): 3778 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(199,a,3497,a(flip),b,3777,a(flip))]. given #3598 (H,wt=13): 3780 a(1 / x,y,z) = a(x \ 1,y,z). [para(666(a,1),3778(a,1,1)),flip(a)]. given #3599 (H,wt=18): 3781 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(69,a,3780,a(flip),b,174,a)]. given #3600 (H,wt=28): 3783 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(3781(a,2),3721(a,1,1))]. given #3601 (H,wt=31): 3784 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3783(a,2),19(a,1))]. given #3602 (H,wt=32): 3782 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(3781(a,2),3626(a,2,1)),flip(a)]. given #3603 (H,wt=30): 3785 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(638(a,1),3782(a,2,1))]. given #3604 (H,wt=28): 3786 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1399(a,1),3785(a,2,1))]. given #3605 (H,wt=28): 3787 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(199,a,3735,a(flip),b,3786,a)]. given #3606 (H,wt=19): 3788 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(3784,a,3787,a)]. given #3607 (H,wt=23): 3789 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(60(a,1),3788(a,1,1,1,2)),flip(a)]. given #3608 (H,wt=19): 3790 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(199,a,3754,a(flip),b,3789,a(flip))]. given #3609 (H,wt=17): 3791 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(199,a,3773,a(flip),b,3790,a(flip))]. given #3610 (H,wt=35): 3563 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3547(a,1),403(a,1,2,2))]. given #3611 (H,wt=36): 3617 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3616(a,2),2572(a,1,1))]. given #3612 (H,wt=34): 3792 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3617(a,1),212(a,1))]. given #3613 (H,wt=27): 3793 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3792,a,3695,a)]. given #3614 (H,wt=23): 3794 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3665(a,1),3793(a,1,1)),flip(a)]. given #3615 (H,wt=23): 3795 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2899(a,1),3794(a,1,2,1,2)),flip(a)]. given #3616 (H,wt=19): 3796 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2899(a,1),3795(a,1,1)),flip(a)]. given #3617 (H,wt=19): 3797 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),3796(a,1,2,2)),flip(a)]. given #3618 (H,wt=15): 3798 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),3797(a,1,2)),flip(a)]. given #3619 (H,wt=10): 3799 L(x,y \ T(y,z),y) = x. [hyper(643,a,3798,a)]. given #3620 (H,wt=12): 3812 L(x,T(y,T(z,y)) \ y,z) = x. [para(3636(a,2),3799(a,1,2))]. given #3621 (H,wt=14): 3809 L(x,y \ T(y,z),y) = u / (x \ u). [hyper(199,a,60,a,b,3799,a)]. given #3622 (H,wt=13): 3814 L(x,y \ T(y,z),y) != u | u = x. [para(3809(a,2),261(a,1))]. given #3623 (H,wt=14): 3813 L(x,T(y,z) \ y,(y * z) / y) = x. [para(149(a,1),3812(a,1,2,1,2))]. given #3624 (H,wt=15): 3801 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(79,a,3798,a)]. given #3625 (H,wt=10): 3817 R(x,x \ T(x,y),z) = x. [hyper(657,a,3801,a)]. given #3626 (H,wt=12): 3818 R(x,x \ (K(y,x) \ x),z) = x. [para(3649(a,1),3817(a,1,2,2))]. given #3627 (H,wt=10): 3819 R(x,K(y,x) \ 1,z) = x. [para(3367(a,1),3818(a,1,2))]. given #3628 (H,wt=15): 3802 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,926,a,b,3798,a)]. given #3629 (H,wt=15): 3803 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(17,a,948,a(flip),b,3798,a)]. given #3630 (H,wt=15): 3804 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,924,a(flip),b,3798,a)]. given #3631 (H,wt=15): 3810 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(68,a,3799,a(flip),b,3240,a)]. given #3632 (H,wt=15): 3822 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(79,a,3804,a)]. given #3633 (H,wt=14): 3827 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3008,a,3822,a)]. given #3634 (H,wt=17): 3806 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3629(a,2),3798(a,1,2,1))]. given #3635 (H,wt=13): 3831 (T(x,y) \ x) * (x * y) = y * x. [hyper(17,a,978,a(flip),b,3806,a)]. given #3636 (H,wt=13): 3833 K(x,y) = T(T(y,x) \ y,y * x). [hyper(154,a,3831,a,b,85,a),flip(a)]. given #3637 (H,wt=13): 3834 (x * y) / (y * x) = T(y,x) \ y. [hyper(79,a,3831,a)]. given #3638 (H,wt=15): 3835 T(x,y / x) \ x = y / (x * (y / x)). [hyper(69,a,16,a(flip),b,3831,a),flip(a)]. given #3639 (H,wt=15): 3838 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3834(a,2),2494(a,1,2,1)),flip(a)]. given #3640 (H,wt=13): 3839 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(199,a,3732,a(flip),b,3838,a),flip(a)]. given #3641 (H,wt=15): 3840 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1635(a,1),3839(a,1,2))]. given #3642 (H,wt=17): 3816 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(68,a,3813,a(flip),b,3742,a),flip(a)]. given #3643 (H,wt=17): 3837 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),3834(a,1,2)),flip(a)]. given #3644 (H,wt=15): 3843 (x * (y / x)) / y = (x \ y) \ (y / x). [para(107(a,1),3837(a,1,1)),flip(a)]. given #3645 (H,wt=15): 3844 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(3653,a,3843,a(flip)),flip(a)]. given #3646 (H,wt=17): 3841 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3816(a,1),14(a,1,2))]. given #3647 (H,wt=17): 3842 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2957(a,1),3816(a,1,2))]. given #3648 (H,wt=18): 3815 (x \ T(x,y)) * (1 / T(x,y)) != z | 1 / x = z. [para(3242(a,1),3814(a,1)),flip(b)]. given #3649 (H,wt=18): 3823 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3804(a,1),254(a,1,2)),flip(b)]. given #3650 (H,wt=18): 3848 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(14(a,1),3823(a,1,2))]. given #3651 (H,wt=19): 3828 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3822(a,1),3728(a,1,1)),flip(a)]. given #3652 (H,wt=10): 3849 R(K(x,y),x,z) = K(x,y). [hyper(199,a,3655,a,b,3828,a)]. given #3653 (H,wt=15): 3851 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3849(a,1),101(a,1,1)),flip(a)]. given #3654 (H,wt=8): 3852 L(x,y,K(y,z)) = x. [hyper(391,a,3851,a)]. given #3655 (H,wt=8): 3853 a(K(x,y),x,z) = 1. [hyper(67,a,3851,a(flip),b,83,a),flip(a)]. given #3656 (H,wt=10): 3855 L(x,y,K(y,z)) = 1 * x. [hyper(279,a,3852,a),flip(a)]. given #3657 (H,wt=11): 3860 L(x,y,K(y,z)) != u | u = x. [para(3855(a,2),70(a,1))]. given #3658 (H,wt=15): 3854 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3091(a,1),3851(a,1,1))]. given #3659 (H,wt=18): 3861 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(2672(a,1),3860(a,1)),flip(b)]. given #3660 (H,wt=19): 3830 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(199,a,3173,a(flip),b,3827,a(flip)),flip(a)]. given #3661 (H,wt=19): 3845 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(199,a,3692,a(flip),b,3844,a(flip))]. given #3662 (H,wt=17): 3864 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3845(a,1),3005(a,1,1))]. given #3663 (H,wt=13): 3865 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3013,a,3864,a),flip(a)]. given #3664 (H,wt=13): 3867 T(x,(x / y) \ 1) = T(x,x \ y). [para(63(a,1),3865(a,1,2,2)),flip(a)]. given #3665 (H,wt=15): 3868 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3865(a,1),152(a,1,2))]. given #3666 (H,wt=15): 3869 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(3865(a,1),181(a,1,2))]. given #3667 (H,wt=15): 3873 (x / y) \ T(x,x \ y) = x * (y / x). [para(3867(a,1),3677(a,1,2))]. given #3668 (H,wt=17): 3866 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),3865(a,1,2,2))]. given #3669 (H,wt=15): 3878 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(352,a,3866,a),flip(a)]. given #3670 (H,wt=15): 3879 x / T(y * x,y \ 1) = (y * x) \ x. [para(3866(a,1),181(a,1,2))]. given #3671 (H,wt=17): 3874 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(63(a,1),3868(a,1,2,2))]. given #3672 (H,wt=17): 3875 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(2899(a,1),3869(a,1,2))]. given #3673 (H,wt=17): 3876 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),3873(a,2,2))]. given #3674 (H,wt=15): 3883 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),3876(a,1,2,2))]. given #3675 (H,wt=17): 3881 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(199,a,2899,a(flip),b,3878,a(flip)),flip(a)]. given #3676 (H,wt=19): 3871 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(3865(a,1),3688(a,1,1)),flip(a)]. given #3677 (H,wt=19): 3872 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3865(a,1),3674(a,1,1))]. given #3678 (H,wt=19): 3880 x * ((x * y) * (y / (x * y))) = ((x * y) \ y) \ y. [hyper(199,a,3662,a,b,3878,a(flip)),flip(a)]. given #3679 (H,wt=20): 3832 x * ((T(y,x) \ y) * z) != u * z | T(x,T(y,x)) = u. [para(3806(a,2),20(a,1))]. given #3680 (H,wt=20): 3836 (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. [para(3831(a,1),155(a,2))]. given #3681 (H,wt=20): 3882 (x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z. [para(3874(a,1),19(a,1)),flip(a)]. given #3682 (H,wt=21): 3847 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3842(a,1),3741(a,1,2,1))]. given #3683 (H,wt=21): 3862 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1042,a,3830,a),flip(a)]. given #3684 (H,wt=19): 3885 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(199,a,3628,a(flip),b,3862,a(flip)),flip(a)]. given #3685 (H,wt=15): 3887 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(199,a,3871,a(flip),b,3885,a(flip)),flip(a)]. given #3686 (H,wt=15): 3888 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(199,a,1047,a,b,3887,a),flip(a)]. given #3687 (H,wt=15): 3889 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(199,a,845,a(flip),b,3887,a)]. given #3688 (H,wt=11): 3894 T(x,y) \ x = y \ T(y,x). [para(2899(a,1),3889(a,1,1))]. given #3689 (H,wt=13): 3896 (x * y) / x = y * (T(y,x) \ y). [para(3894(a,2),3623(a,1,2)),flip(a)]. given #3690 (H,wt=11): 3901 T(x * (T(x,y) \ x),y) = x. [para(3896(a,1),149(a,1,1))]. given #3691 (H,wt=11): 3903 T(x / (x / y),y \ x) = y. [para(3689(a,2),3901(a,1,1))]. given #3692 (H,wt=11): 3905 T(x,x \ y) = y / (y / x). [para(3903(a,1),47(a,1,1))]. given #3693 (H,wt=11): 3909 x / (x / y) = (y \ x) \ x. [hyper(352,a,3905,a),flip(a)]. given #3694 (H,wt=11): 3911 T(x,x \ y) \ y = y / x. [para(3905(a,2),63(a,1,1))]. given #3695 (H,wt=11): 3915 ((x \ y) \ y) \ y = y / x. [para(60(a,1),3909(a,1,2)),flip(a)]. given #3696 (H,wt=13): 3899 K(x,y) = T(x \ T(x,y),y * x). [para(3894(a,1),3833(a,2,1))]. given #3697 (H,wt=13): 3906 T(x / (x / (x / y)),y) = x / y. [para(63(a,1),3903(a,1,2))]. given #3698 (H,wt=13): 3910 T(x \ y,(x \ y) \ y) = y / x. [para(60(a,1),3905(a,2,2))]. given #3699 (H,wt=13): 3917 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(199,a,170,a,b,3915,a),flip(a)]. given #3700 (H,wt=14): 3912 T(x / (x / y),y \ x) != z | z = y. [para(3905(a,1),338(a,1,1))]. given #3701 (H,wt=14): 3913 x / (x / y) != z | (y \ x) \ x = z. [para(3905(a,1),352(a,1))]. given #3702 (H,wt=14): 3914 T(x / (x / y),x) = L(y,y \ x,y). [para(3905(a,1),621(a,1,1))]. given #3703 (H,wt=15): 3893 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3888(a,2),2956(a,1,1))]. given #3704 (H,wt=15): 3895 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(199,a,3628,a(flip),b,3894,a)]. given #3705 (H,wt=15): 3897 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3894(a,2),3798(a,1,2,1))]. given #3706 (H,wt=9): 3926 T(x,T(y,x)) = T(x,y). [hyper(3832,a,3897,a)]. given #3707 (H,wt=11): 3928 T(x,y) * T(y,x) = x * y. [para(2955(a,1),3897(a,1,2)),flip(a)]. given #3708 (H,wt=11): 3929 T(x,y) \ (x * y) = T(y,x). [hyper(353,a,3926,a)]. given #3709 (H,wt=11): 3930 (x / T(y,x)) * y = T(x,y). [hyper(199,a,1121,a,b,3926,a(flip)),flip(a)]. given #3710 (H,wt=11): 3933 T(x,y) / y = x / T(y,x). [hyper(69,a,3926,a(flip),b,1121,a)]. given #3711 (H,wt=11): 3934 T(x,y) / (T(y,x) \ x) = y. [hyper(69,a,3926,a(flip),b,960,a)]. given #3712 (H,wt=11): 3935 T(x,y) \ y = x \ T(y,x). [hyper(68,a,3926,a(flip),b,960,a),flip(a)]. given #3713 (H,wt=11): 3940 T(x,y / x) = T(x,x \ y). [para(107(a,1),3926(a,1,2)),flip(a)]. given #3714 (H,wt=11): 3942 (x * y) / T(y,x) = T(x,y). [para(3926(a,1),183(a,1,2))]. given #3715 (H,wt=11): 3947 K(T(x,y),T(y,x)) = K(x,y). [para(3926(a,1),3656(a,1,1))]. given #3716 (H,wt=11): 3954 (T(x,y) / y) \ x = T(y,x). [para(3933(a,2),63(a,1,1))]. given #3717 (H,wt=11): 3963 T(x,y / x) = (x \ y) \ y. [hyper(199,a,106,a(flip),b,3940,a)]. given #3718 (H,wt=13): 3932 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(199,a,3840,a(flip),b,3926,a(flip))]. given #3719 (H,wt=13): 3936 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3926(a,1),38(a,1,1)),flip(a)]. given #3720 (H,wt=13): 3937 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(38(a,1),3926(a,1,2))]. given #3721 (H,wt=13): 3949 (x / (y * x)) \ T(x,y) = x * y. [para(3926(a,1),3883(a,1,2))]. given #3722 (H,wt=13): 3953 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),3929(a,1,1)),flip(a)]. given #3723 (H,wt=13): 3971 T(x,(1 / x) * y) = T(x,x \ y). [hyper(199,a,2822,a,b,3932,a(flip)),flip(a)]. given #3724 (H,wt=13): 3975 T(x,y) / (x * y) = x / (y * x). [para(3949(a,1),60(a,1,2))]. given #3725 (H,wt=13): 3976 x / T(y,(1 / y) * x) = y \ x. [para(3971(a,2),181(a,1,2))]. given #3726 (H,wt=14): 3948 T(x,y) \ x != z | y \ T(y,x) = z. [para(3926(a,1),3650(a,1,1))]. given #3727 (H,wt=14): 3955 (x / T(y,x)) * y != z | T(x,y) = z. [para(3933(a,1),207(a,1,1)),flip(b)]. given #3728 (H,wt=12): 3980 T(x,T(y,x)) != z | T(x,y) = z. [para(1121(a,1),3955(a,1))]. given #3729 (H,wt=14): 3969 T(x,y / x) != z | T(x,x \ y) = z. [para(3963(a,2),257(a,1))]. given #3730 (H,wt=14): 3977 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(199,a,146,a,b,3975,a)]. given #3731 (H,wt=15): 3898 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3894(a,2),3802(a,1,1)),flip(a)]. given #3732 (H,wt=15): 3900 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(199,a,3689,a,b,3896,a)]. given #3733 (H,wt=15): 3902 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3896(a,2),3842(a,1,2)),flip(a)]. given #3734 (H,wt=15): 3907 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3903(a,1),105(a,1,2)),flip(a)]. given #3735 (H,wt=15): 3919 (x * (y / x)) / x = y / (y / (y / x)). [para(3906(a,1),150(a,1,1,2))]. given #3736 (H,wt=15): 3924 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(60(a,1),3893(a,1,1,1,2)),flip(a)]. given #3737 (H,wt=15): 3925 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(199,a,3835,a(flip),b,3895,a(flip)),flip(a)]. given #3738 (H,wt=15): 3938 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3926(a,1),40(a,1,1)),flip(a)]. given #3739 (H,wt=15): 3939 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),3926(a,1,2))]. given #3740 (H,wt=15): 3956 T(x * (y / x),x) = x * (y / T(x,y)). [para(3933(a,1),1325(a,2,2))]. given #3741 (H,wt=15): 3964 (x * (y / x)) / T(x,x \ y) = y / x. [para(3940(a,1),122(a,1,2))]. given #3742 (H,wt=15): 3966 (x * (y / x)) * x = y * T(x,x \ y). [para(3940(a,1),700(a,2,2))]. given #3743 (H,wt=15): 3970 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3963(a,1),700(a,2,2))]. given #3744 (H,wt=15): 3978 T(x,x \ y) / y = x / ((x \ y) * x). [para(14(a,1),3975(a,1,2))]. given #3745 (H,wt=15): 3979 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(60(a,1),3976(a,1,2,2,1))]. given #3746 (H,wt=15): 3982 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(570,a,3977,a)]. given #3747 (H,wt=15): 3985 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3661,a,3924,a),flip(a)]. given #3748 (H,wt=13): 3994 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3369,a,3985,a)]. given #3749 (H,wt=13): 3995 K(x,(x * y) / x) = K(y,x) \ 1. [para(13(a,1),3994(a,1,1,1)),flip(a)]. given #3750 (H,wt=11): 3996 K(T(x,y),y) = K(y,x) \ 1. [hyper(199,a,3654,a,b,3995,a(flip)),flip(a)]. given #3751 (H,wt=11): 3997 K(T(x,y),y) \ 1 = K(y,x). [para(150(a,1),3995(a,1,2)),flip(a)]. given #3752 (H,wt=8): 4002 R(x,K(x,y),z) = x. [para(3997(a,1),3819(a,1,2))]. given #3753 (H,wt=11): 4000 K(T(x,y),y) * K(y,x) = 1. [para(3997(a,1),14(a,1,2))]. given #3754 (H,wt=12): 4003 R(T(x,y),K(x,z),u) = T(x,y). [para(4002(a,1),42(a,2,1))]. given #3755 (H,wt=13): 3999 K(x,x \ y) \ 1 = K(y / x,x). [para(170(a,1),3996(a,1,1)),flip(a)]. given #3756 (H,wt=14): 4001 x * K(y,z) != 1 | K(T(z,y),y) = x. [para(3997(a,1),78(a,1,2)),flip(b)]. given #3757 (H,wt=14): 4007 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4000(a,1),254(a,1,2)),flip(b)]. given #3758 (H,wt=15): 3992 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(3979(a,1),63(a,1,1)),flip(a)]. given #3759 (H,wt=15): 4004 (x * K(x,y)) * z = x * (K(x,y) * z). [para(4002(a,1),101(a,1,1)),flip(a)]. given #3760 (H,wt=8): 4010 L(x,K(y,z),y) = x. [hyper(391,a,4004,a)]. given #3761 (H,wt=15): 4011 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(199,a,3854,a(flip),b,4004,a(flip)),flip(a)]. given #3762 (H,wt=15): 4016 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(270,a,4011,a),flip(a)]. given #3763 (H,wt=16): 3946 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3926(a,1),1610(a,1,2)),flip(a)]. given #3764 (H,wt=11): 4021 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,434,a,b,3946,a),flip(a)]. given #3765 (H,wt=12): 4022 T(T(x,y),x * y) = R(x,y,x). [hyper(18,a,166,a,b,3946,a),flip(a)]. given #3766 (H,wt=9): 4028 R(x,y,x) = L(x,y,x). [hyper(199,a,617,a(flip),b,4022,a(flip))]. given #3767 (H,wt=12): 4024 x * R(y,x,y) = T(y * x,y). [para(4021(a,1),987(a,1,2))]. given #3768 (H,wt=12): 4027 x \ T(y * x,y) = R(y,x,y). [hyper(199,a,938,a,b,4022,a(flip)),flip(a)]. given #3769 (H,wt=9): 4032 L(R(x,y,x),y,x) = x. [para(4027(a,1),405(a,1,1))]. given #3770 (H,wt=14): 4031 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),4027(a,1,2,1)),flip(a)]. given #3771 (H,wt=14): 4034 (L(x,y,x) * y) * x = x * (y * x). [para(4032(a,1),432(a,1,1)),flip(a)]. given #3772 (H,wt=12): 4037 L(x,y,x) * y = T(y * x,x). [hyper(18,a,166,a,b,4034,a)]. given #3773 (H,wt=13): 4038 x * T(y,y * x) = T(x * y,y). [hyper(620,a,4037,a)]. given #3774 (H,wt=11): 4041 T(x,y * x) = T(x,x * y). [hyper(17,a,1110,a,b,4038,a),flip(a)]. given #3775 (H,wt=11): 4043 T(x,(x \ y) * x) = T(x,y). [para(14(a,1),4041(a,2,2))]. given #3776 (H,wt=11): 4046 T(x,T(y,y * x)) = T(x,y). [para(4041(a,1),1140(a,1,2))]. given #3777 (H,wt=14): 4035 (x * (y * x)) / x = L(x,y,x) * y. [hyper(79,a,4034,a)]. given #3778 (H,wt=12): 4052 T((x * y) / x,L(x,y,x)) = y. [hyper(1476,a,4035,a)]. given #3779 (H,wt=10): 4054 T(x,L(y,x,y)) = T(x,y). [para(4052(a,1),184(a,1,1)),flip(a)]. given #3780 (H,wt=14): 4036 x * T(y,x * y) = L(y,x,y) * x. [hyper(18,a,1107,a,b,4034,a),flip(a)]. given #3781 (H,wt=14): 4039 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(68,a,185,a(flip),b,4037,a)]. given #3782 (H,wt=14): 4040 T(x,L(x,y,x) * y) = T(x,y * x). [para(4037(a,2),3926(a,1,2))]. given #3783 (H,wt=14): 4048 R(T(x,y),x \ y,x) = T(x,x \ y). [para(4043(a,1),688(a,1,1))]. given #3784 (H,wt=14): 4058 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(199,a,4041,a(flip),b,4040,a)]. given #3785 (H,wt=14): 4059 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(199,a,106,a(flip),b,4048,a)]. given #3786 (H,wt=15): 4026 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3926(a,1),4021(a,1,3))]. given #3787 (H,wt=15): 4029 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4024(a,1),254(a,1,2)),flip(b)]. given #3788 (H,wt=15): 4033 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(199,a,1613,a,b,4032,a(flip)),flip(a)]. given #3789 (H,wt=13): 4063 K(x,x \ T(x * y,y)) = K(x,y). [para(4033(a,1),3116(a,1,2)),flip(a)]. given #3790 (H,wt=15): 4044 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4041(a,1),38(a,1,1))]. given #3791 (H,wt=15): 4045 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4041(a,2),38(a,1,1))]. given #3792 (H,wt=15): 4055 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4054(a,1),105(a,1,2))]. given #3793 (H,wt=15): 4065 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(342,a,4044,a),flip(a)]. given #3794 (H,wt=16): 3981 T(x,T(T(y,x),z)) != u | T(x,T(y,z)) = u. [para(38(a,1),3980(a,1,2))]. given #3795 (H,wt=16): 4009 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(3996(a,2),4007(a,1))]. given #3796 (H,wt=16): 4061 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4058(a,1),1145(a,1,1))]. given #3797 (H,wt=16): 4064 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(199,a,1170,a,b,4063,a(flip))]. given #3798 (H,wt=15): 4070 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4024(a,1),4064(a,2,1))]. given #3799 (H,wt=13): 4071 K(x \ T(x * y,x),x) = K(y,x). [hyper(199,a,1332,a(flip),b,4070,a),flip(a)]. given #3800 (H,wt=13): 4072 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4071(a,1,1,2,1))]. given #3801 (H,wt=15): 4073 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(149(a,1),4072(a,1,1,2)),flip(a)]. given #3802 (H,wt=15): 4074 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(3902(a,2),4073(a,1,1))]. given #3803 (H,wt=17): 3923 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(3914(a,2),387(a,1,2))]. given #3804 (H,wt=17): 3927 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,992,a,b,3897,a)]. given #3805 (H,wt=17): 3957 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(38(a,1),3934(a,1,2,1))]. given #3806 (H,wt=17): 3974 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(3926(a,1),3937(a,1,2)),flip(a)]. given #3807 (H,wt=15): 4078 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(199,a,3937,a(flip),b,3974,a)]. given #3808 (H,wt=17): 3983 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(199,a,3841,a,b,3898,a),flip(a)]. given #3809 (H,wt=17): 3988 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(154,a,3970,a,b,14,a)]. given #3810 (H,wt=17): 3991 (x \ y) / T(x \ 1,y) = (x \ 1) \ (x \ y). [para(14(a,1),3979(a,1,2,2))]. given #3811 (H,wt=17): 3993 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(107(a,1),3982(a,1,3)),flip(a)]. given #3812 (H,wt=17): 4057 x * T(y,x * y) != z * x | L(y,x,y) = z. [para(4036(a,2),20(a,1))]. given #3813 (H,wt=17): 4060 R(T(x,y),x \ y,x) != z | (x \ y) \ y = z. [para(4048(a,2),352(a,1))]. given #3814 (H,wt=17): 4075 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4074(a,1),3847(a,1,2)),flip(a)]. given #3815 (H,wt=9): 4083 T(x,(y \ x) * y) = x. [hyper(1245,a,4075,a)]. given #3816 (H,wt=13): 4084 T((x \ y) * x,y) = (x \ y) * x. [hyper(35,a,4083,a)]. given #3817 (H,wt=13): 4085 T(x * (y / x),y) = x * (y / x). [para(64(a,1),4083(a,1,2))]. given #3818 (H,wt=17): 4079 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(199,a,1261,a,b,3983,a(flip)),flip(a)]. given #3819 (H,wt=17): 4081 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(199,a,3956,a(flip),b,3988,a(flip))]. given #3820 (H,wt=18): 3892 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(3888(a,1),1049(a,1))]. given #3821 (H,wt=18): 3908 (x \ y) * x != z * (x \ y) | y / (y / x) = z. [para(3903(a,1),156(a,1,2)),flip(b)]. given #3822 (H,wt=18): 3920 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(3910(a,1),621(a,1,1)),flip(a)]. given #3823 (H,wt=18): 3922 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(3914(a,2),40(a,2,1)),flip(a)]. given #3824 (H,wt=18): 4018 K(x,y) * z != x * u | K(x,y) * (x \ z) = u. [para(4016(a,1),19(a,1))]. given #3825 (H,wt=18): 4025 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4021(a,1),1693(a,1,2)),flip(a)]. given #3826 (H,wt=18): 4056 L(x,y,x) * T(y,x) != z | y * L(x,y,x) = z. [para(4054(a,1),215(a,1,2))]. given #3827 (H,wt=18): 4066 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4045(a,1),342(a,1))]. given #3828 (H,wt=18): 4067 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4055(a,1),20(a,1)),flip(a)]. given #3829 (H,wt=18): 4068 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4065(a,2),342(a,1))]. given #3830 (H,wt=18): 4082 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(3993(a,1),317(a,1,1))]. given #3831 (H,wt=15): 4088 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4082(a,1),683(a,1,2))]. given #3832 (H,wt=19): 3886 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3862(a,1),3648(a,1,1)),flip(a)]. given #3833 (H,wt=17): 4089 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(199,a,3651,a(flip),b,3886,a)]. given #3834 (H,wt=15): 4090 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(3980,a,4089,a),flip(a)]. given #3835 (H,wt=13): 4091 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3980,a,4090,a),flip(a)]. given #3836 (H,wt=13): 4094 T(x,(y / z) \ 1) = T(x,z / y). [para(63(a,1),4091(a,1,2,1)),flip(a)]. given #3837 (H,wt=16): 4092 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4090(a,1),3980(a,1))]. given #3838 (H,wt=16): 4096 T(x,y / z) != u | T(x,(z / y) \ 1) = u. [para(63(a,1),4092(a,1,2,1))]. given #3839 (H,wt=19): 3918 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(199,a,3706,a,b,3899,a),flip(a)]. given #3840 (H,wt=17): 4097 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3932(a,1),3918(a,1,2,2,1))]. given #3841 (H,wt=17): 4098 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4097(a,1),14(a,1,2)),flip(a)]. given #3842 (H,wt=13): 4099 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3707,a,4098,a)]. given #3843 (H,wt=17): 4100 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(199,a,3720,a,b,4099,a(flip)),flip(a)]. given #3844 (H,wt=13): 4101 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(199,a,3381,a(flip),b,4100,a)]. given #3845 (H,wt=13): 4102 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(199,a,3398,a,b,4101,a(flip)),flip(a)]. given #3846 (H,wt=13): 4103 K((1 / x) * y,x) = K(x \ y,x). [para(13(a,1),4102(a,1,1,2)),flip(a)]. given #3847 (H,wt=15): 4104 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(32(a,2),4103(a,2,1))]. given #3848 (H,wt=17): 4105 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(60(a,1),4103(a,1,1,1)),flip(a)]. given #3849 (H,wt=17): 4106 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(804(a,1),4104(a,1,1))]. given #3850 (H,wt=17): 4107 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(199,a,3400,a(flip),b,4106,a(flip)),flip(a)]. given #3851 (H,wt=17): 4108 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4107(a,1),3997(a,1,1))]. given #3852 (H,wt=13): 4109 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4007,a,4108,a),flip(a)]. given #3853 (H,wt=19): 3943 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3926(a,1),164(a,1,2,1))]. given #3854 (H,wt=18): 4111 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(606(a,1),3943(a,1,2))]. given #3855 (H,wt=16): 4112 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(199,a,4055,a(flip),b,4111,a)]. given #3856 (H,wt=16): 4114 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4041(a,2),4112(a,1,2))]. given #3857 (H,wt=17): 4115 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(755,a,4114,a)]. given #3858 (H,wt=11): 4117 L(x,T(y,x),x) = L(x,y,x). [hyper(4067,a,4115,a),flip(a)]. given #3859 (H,wt=19): 3944 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3926(a,1),165(a,1,2,1))]. given #3860 (H,wt=19): 3958 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(3935(a,2),86(a,1,2,1))]. given #3861 (H,wt=17): 4119 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(199,a,4072,a(flip),b,3958,a)]. given #3862 (H,wt=17): 4120 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [para(4119(a,1),14(a,1,2))]. given #3863 (H,wt=19): 3973 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(40(a,2),3936(a,1,2))]. given #3864 (H,wt=19): 3990 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(3865(a,1),3978(a,1,1))]. given #3865 (H,wt=19): 4023 (x * y) * T(x,y) != z * (x * y) | R(x,y,x) = z. [para(3946(a,1),20(a,1))]. given #3866 (H,wt=19): 4049 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4043(a,1),3930(a,1,1,2))]. given #3867 (H,wt=15): 4123 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(18,a,1313,a(flip),b,4049,a)]. given #3868 (H,wt=15): 4124 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4123(a,1),16(a,1,1))]. given #3869 (H,wt=18): 4125 (x \ y) * x != z * T(x,y) | x \ T(y,x) = z. [para(4124(a,1),20(a,1))]. given #3870 (H,wt=18): 4126 (x \ T(y,x)) * T(x,y) != z * x | x \ y = z. [para(4124(a,2),20(a,1))]. given #3871 (H,wt=19): 4069 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3643(a,2),4009(a,1))]. given #3872 (H,wt=13): 4127 R(K(x,y),x,z) != u | K(x,y) = u. [para(3828(a,2),4069(a,1))]. given #3873 (H,wt=19): 4113 T(x,y) * T(y,y * x) != x * z | L(y,x,y) = z. [para(4112(a,2),19(a,1))]. given #3874 (H,wt=19): 4116 T(x,y) * T(y,x * y) != x * z | L(y,x,y) = z. [para(4114(a,2),19(a,1))]. given #3875 (H,wt=20): 3945 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3926(a,1),330(a,1,2,1))]. given #3876 (H,wt=20): 3984 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(3919(a,1),767(a,1,1))]. given #3877 (H,wt=20): 3989 x * ((y \ x) \ x) != y * z | T(y * (x / y),y) = z. [para(3970(a,1),155(a,2)),flip(a)]. given #3878 (H,wt=20): 4047 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4043(a,1),215(a,1,2))]. given #3879 (H,wt=20): 4053 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4035(a,2),623(a,1))]. given #3880 (H,wt=20): 4076 x * ((x \ y) * x) != y * z | T(y / (y / x),y) = z. [para(3923(a,1),19(a,1))]. given #3881 (H,wt=20): 4080 T(x,y) * (x \ z) != x * u | ((y * x) / y) \ z = u. [para(3983(a,1),19(a,1))]. given #3882 (H,wt=20): 4121 (T(x,y) \ y) * x != z * K(x \ y,x) | T(y,x) = z. [para(4119(a,1),78(a,1,2)),flip(a),flip(b)]. given #3883 (H,wt=21): 3986 (x * y) \ (y * T(x,x \ y)) != z | a(x,y / x,x) = z. [para(3966(a,1),832(a,1,2))]. given #3884 (H,wt=21): 3987 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(3664(a,2),3966(a,1,1)),flip(a)]. given #3885 (H,wt=19): 4128 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(3865(a,1),3987(a,1,2)),flip(a)]. given #3886 (H,wt=21): 4005 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4002(a,1),432(a,1,1,1)),flip(a)]. given #3887 (H,wt=11): 4129 L(x,K(y,z),L(y,u,w)) = x. [hyper(391,a,4005,a)]. given #3888 (H,wt=21): 4087 T(x * y,x) * T(x,y) != (x * y) * z | R(x,y,x) = z. [para(4025(a,2),19(a,1))]. given #3889 (H,wt=21): 4122 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(2899(a,1),3990(a,1,1))]. given #3890 (H,wt=21): 4130 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3098(a,1),4005(a,1,1))]. given #3891 (H,wt=21): 4131 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(4122(a,2),63(a,1,1))]. given #3892 (H,wt=22): 4095 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4094(a,1),3737(a,1,1,2))]. given #3893 (H,wt=18): 4132 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),4095(a,1,1,2,2))]. given #3894 (H,wt=14): 4133 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(3044,a,4132,a),flip(a)]. given #3895 (H,wt=17): 4134 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4133(a,1),3637(a,1,1))]. given #3896 (H,wt=15): 4135 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(65(a,1),4134(a,1,2))]. given #3897 (H,wt=15): 4138 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(106(a,1),4135(a,1,1,2))]. given #3898 (H,wt=15): 4139 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4138(a,1),60(a,1,2))]. given #3899 (H,wt=15): 4140 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(199,a,3844,a,b,4139,a),flip(a)]. given #3900 (H,wt=17): 4141 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4085(a,2),4140(a,1,1))]. given #3901 (H,wt=23): 3820 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(199,a,3717,a(flip),b,3802,a(flip))]. given #3902 (H,wt=23): 3821 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(199,a,3354,a(flip),b,3802,a(flip))]. given #3903 (H,wt=21): 4144 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2828(a,1),3821(a,1,2))]. given #3904 (H,wt=23): 3960 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3935(a,1),1184(a,1,1,1))]. given #3905 (H,wt=19): 4146 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4124(a,1),3960(a,1,1))]. given #3906 (H,wt=17): 4147 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4047,a,4146,a),flip(a)]. given #3907 (H,wt=15): 4148 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(17,a,3923,a,b,4147,a)]. given #3908 (H,wt=15): 4149 T(x / (x / y),x) \ x = x / T(y,x). [para(4148(a,1),63(a,1,1))]. given #3909 (H,wt=15): 4150 x / T(y \ x,x) = T(x / y,x) \ x. [para(60(a,1),4149(a,1,1,1,2)),flip(a)]. given #3910 (H,wt=23): 3962 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(3935(a,1),2185(a,1,2,1))]. given #3911 (H,wt=23): 3967 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(3940(a,2),3698(a,1,2,1))]. given #3912 (H,wt=23): 3968 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3942(a,1),1126(a,1,1)),flip(a)]. given #3913 (H,wt=23): 3972 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(3932(a,1),3727(a,2,1,2))]. given #3914 (H,wt=19): 4152 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(199,a,3803,a(flip),b,3972,a)]. given #3915 (H,wt=23): 4042 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(199,a,42,a,b,4041,a(flip)),flip(a)]. given #3916 (H,wt=23): 4143 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3802(a,1),3820(a,2,2))]. given #3917 (H,wt=24): 3846 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(199,a,3642,a,b,3841,a(flip)),flip(a)]. given #3918 (H,wt=15): 4153 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4133(a,1),3846(a,1,1))]. given #3919 (H,wt=15): 4154 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3848,a,4153,a),flip(a)]. given #3920 (H,wt=15): 4155 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3823,a,4153,a),flip(a)]. given #3921 (H,wt=15): 4156 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(199,a,3898,a,b,4153,a)]. given #3922 (H,wt=15): 4159 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(199,a,3898,a,b,4154,a(flip)),flip(a)]. given #3923 (H,wt=15): 4163 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(68,a,14,a(flip),b,4155,a)]. given #3924 (H,wt=15): 4164 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(199,a,3898,a,b,4155,a(flip)),flip(a)]. given #3925 (H,wt=15): 4167 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4155(a,1),3897(a,1,2)),flip(a)]. given #3926 (H,wt=17): 4160 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(199,a,3927,a(flip),b,4154,a(flip)),flip(a)]. given #3927 (H,wt=17): 4165 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(68,a,4155,a(flip),b,3841,a),flip(a)]. given #3928 (H,wt=17): 4168 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(68,a,4134,a(flip),b,4156,a(flip)),flip(a)]. given #3929 (H,wt=17): 4174 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(199,a,930,a(flip),b,4168,a)]. given #3930 (H,wt=18): 4157 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4153(a,1),3848(a,1))]. given #3931 (H,wt=18): 4170 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(199,a,92,a,b,4167,a)]. given #3932 (H,wt=16): 4176 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(326,a,4170,a),flip(a)]. given #3933 (H,wt=18): 4173 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(951,a,4165,a),flip(a)]. given #3934 (H,wt=15): 4177 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(645,a,4173,a),flip(a)]. given #3935 (H,wt=20): 4175 x * (T(x,y) \ z) != u | ((y * x) / y) * (x \ z) = u. [para(4174(a,1),1266(a,1))]. given #3936 (H,wt=21): 4171 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(884,a,4160,a),flip(a)]. given #3937 (H,wt=22): 4166 (T(x,y) \ x) * (T(x,y) * z) != u * w | u \ (x * z) = w. [para(4155(a,2),492(a,1))]. given #3938 (H,wt=22): 4169 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(4164(a,2),492(a,1))]. given #3939 (H,wt=22): 4172 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4160(a,1),872(a,1))]. given #3940 (H,wt=24): 3921 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(3917(a,1),649(a,1,1))]. given #3941 (H,wt=24): 3950 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3928(a,1),24(a,2,2,1)),flip(a)]. given #3942 (H,wt=20): 4178 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4167(a,1),3950(a,1,1))]. given #3943 (H,wt=13): 4179 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(597,a,4178,a),flip(a)]. given #3944 (H,wt=16): 4180 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4178(a,1),597(a,1))]. given #3945 (H,wt=24): 4136 (x \ T(x,y)) \ (((x * y) / x) * z) != u * w | u \ (y * z) = w. [para(4134(a,2),492(a,1))]. given #3946 (H,wt=24): 4151 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3968(a,2),3945(a,1))]. given #3947 (H,wt=25): 3952 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(3928(a,1),427(a,2,2))]. given #3948 (H,wt=13): 4181 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(3952,a,699,a)]. given #3949 (H,wt=11): 4182 R(x,T(y,x),x) = R(x,y,x). [hyper(199,a,4026,a(flip),b,4181,a(flip)),flip(a)]. given #3950 (H,wt=13): 4183 R(x,y / x,x) = R(x,x \ y,x). [para(107(a,1),4182(a,1,2)),flip(a)]. given #3951 (H,wt=14): 4184 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(199,a,4031,a(flip),b,4183,a)]. given #3952 (H,wt=16): 4186 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(15(a,1),4184(a,1,2)),flip(a)]. given #3953 (H,wt=22): 4185 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(199,a,3679,a(flip),b,4183,a(flip))]. given #3954 (H,wt=22): 4187 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4128(a,1),4185(a,2,1))]. given #3955 (H,wt=25): 4008 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4003(a,1),433(a,1,1,1)),flip(a)]. given #3956 (H,wt=25): 4077 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(3926(a,1),3957(a,1,2,1))]. given #3957 (H,wt=21): 4188 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4078(a,1),4077(a,1,1))]. given #3958 (H,wt=11): 4189 T(x,T(y,T(x,z))) = T(x,y). [hyper(199,a,3957,a(flip),b,4188,a(flip))]. given #3959 (H,wt=17): 4192 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(171(a,1),4189(a,1,2,2))]. given #3960 (H,wt=24): 4195 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4192(a,1),3922(a,1,1))]. given #3961 (H,wt=25): 4142 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3709(a,1),4141(a,1,1,1)),flip(a)]. given #3962 (H,wt=17): 4196 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4152(a,1),4142(a,1,2)),flip(a)]. given #3963 (H,wt=15): 4197 ((x \ y) * x) / y = y / (x * (y / x)). [para(4084(a,1),4196(a,1,1))]. given #3964 (H,wt=15): 4198 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(199,a,3925,a(flip),b,4197,a)]. given #3965 (H,wt=17): 4199 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(199,a,3791,a,b,4198,a(flip)),flip(a)]. given #3966 (H,wt=24): 4200 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4199(a,1),3755(a,2,2))]. given #3967 (H,wt=25): 4145 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(199,a,3201,a(flip),b,4144,a(flip))]. given #3968 (H,wt=21): 4201 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3129(a,1),4145(a,1,1)),flip(a)]. given #3969 (H,wt=21): 4202 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4201(a,1),3232(a,1,2))]. given #3970 (H,wt=21): 4203 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4202(a,1),219(a,1,1)),flip(a)]. given #3971 (H,wt=26): 3891 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3887(a,2),28(a,2,1)),flip(a)]. given #3972 (H,wt=26): 3959 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3935(a,1),84(a,1,1,2,1))]. given #3973 (H,wt=26): 4050 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(4046(a,1),331(a,1,2,1))]. given #3974 (H,wt=26): 4051 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(4046(a,1),332(a,1,2,1))]. given #3975 (H,wt=26): 4204 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(199,a,4163,a(flip),b,3891,a(flip)),flip(a)]. given #3976 (H,wt=26): 4205 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(199,a,4143,a(flip),b,4204,a(flip)),flip(a)]. given #3977 (H,wt=16): 4206 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4164(a,1),4205(a,1,2)),flip(a)]. given #3978 (H,wt=15): 4207 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(199,a,173,a(flip),b,4206,a)]. given #3979 (H,wt=24): 4209 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(199,a,3522,a(flip),b,4207,a(flip))]. given #3980 (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(3935(a,1),1740(a,1,2,1))]. given #3981 (H,wt=29): 4030 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4024(a,1),2562(a,2,1))]. given #3982 (H,wt=24): 4212 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1285,a,4030,a),flip(a)]. given #3983 (H,wt=20): 4213 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2254(a,1),4212(a,1,1)),flip(a)]. given #3984 (H,wt=25): 4214 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(69,a,4213,a(flip),b,1282,a)]. given #3985 (H,wt=25): 4216 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2475(a,1),4214(a,1,1))]. given #3986 (H,wt=31): 4211 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4209(a,1),3360(a,2,2))]. given #3987 (H,wt=21): 4217 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(199,a,4203,a(flip),b,4211,a)]. given #3988 (H,wt=22): 4218 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3743,a,4217,a)]. given #3989 (H,wt=18): 4220 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(199,a,80,a(flip),b,4218,a)]. given #3990 (H,wt=21): 4222 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4220(a,1),2860(a,1,2))]. given #3991 (H,wt=26): 4223 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4222(a,1),3757(a,1,2)),flip(a)]. given #3992 (H,wt=14): 4225 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(199,a,2760,a(flip),b,4223,a)]. given #3993 (H,wt=10): 4229 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4225(a,1,3))]. given #3994 (H,wt=10): 4232 R(x,y,K(z \ 1,z)) = x. [hyper(199,a,3598,a(flip),b,4229,a(flip)),flip(a)]. given #3995 (H,wt=10): 4242 R(x,y,K(z,1 / z)) = x. [para(63(a,1),4232(a,1,3,1))]. given #3996 (H,wt=10): 4246 R(x,y,K(z,z \ 1)) = x. [para(2003(a,1),4232(a,1,3))]. given #3997 (H,wt=10): 4247 R(x,y,K(1 / z,z)) = x. [para(2052(a,2),4232(a,1,3))]. given #3998 (H,wt=13): 4240 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(199,a,3344,a(flip),b,4232,a(flip))]. given #3999 (H,wt=13): 4250 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3341,a,4246,a)]. given #4000 (H,wt=13): 4253 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(199,a,3490,a(flip),b,4246,a(flip))]. given #4001 (H,wt=13): 4266 T(x,y * K(z \ 1,z)) = T(x,y). [para(2005(a,1),4253(a,1,2,2))]. given #4002 (H,wt=13): 4267 T(x,K(y,y \ 1) * z) = T(x,z). [para(2234(a,2),4253(a,1,2))]. given #4003 (H,wt=13): 4269 T(x,K(y \ 1,y) * z) = T(x,z). [para(2753(a,1),4253(a,1,2)),flip(a)]. given #4004 (H,wt=13): 4279 T(x,K(y,1 / y) * z) = T(x,z). [para(2000(a,2),4267(a,1,2,1))]. given #4005 (H,wt=15): 4270 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2754(a,1),4253(a,1,2))]. given #4006 (H,wt=15): 4271 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2755(a,1),4253(a,1,2)),flip(a)]. given #4007 (H,wt=15): 4272 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2792(a,1),4253(a,1,2))]. given #4008 (H,wt=15): 4274 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2834(a,1),4253(a,1,2)),flip(a)]. given #4009 (H,wt=15): 4275 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2839(a,1),4253(a,1,2))]. given #4010 (H,wt=15): 4276 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2855(a,1),4253(a,1,2))]. given #4011 (H,wt=15): 4278 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(3304(a,1),4253(a,1,2))]. given #4012 (H,wt=15): 4285 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(589,a,4276,a),flip(a)]. given #4013 (H,wt=11): 4288 K((x \ 1) * y,x \ y) = 1. [hyper(36,a,4285,a)]. given #4014 (H,wt=15): 4286 T(x,T(y,y \ 1) \ z) = T(x,y \ z). [para(106(a,2),4276(a,1,2,1))]. given #4015 (H,wt=17): 4244 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4232(a,1),350(a,1,1)),flip(a)]. given #4016 (H,wt=17): 4255 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4246(a,1),350(a,1,1)),flip(a)]. given #4017 (H,wt=17): 4283 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3022(a,1),4274(a,1,2)),flip(a)]. given #4018 (H,wt=17): 4289 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2251,a,4244,a)]. given #4019 (H,wt=19): 4233 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4229(a,1),101(a,1,1)),flip(a)]. given #4020 (H,wt=10): 4292 L(x,K(y \ 1,y),z) = x. [hyper(391,a,4233,a)]. given #4021 (H,wt=10): 4298 L(x,K(y,y \ 1),z) = x. [para(2003(a,1),4292(a,1,2))]. given #4022 (H,wt=10): 4303 L(x,y * (1 / y),z) = x. [para(2001(a,1),4298(a,1,2))]. given #4023 (H,wt=19): 4239 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(199,a,3538,a(flip),b,4232,a(flip)),flip(a)]. given #4024 (H,wt=17): 4306 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [hyper(199,a,3494,a(flip),b,4239,a)]. given #4025 (H,wt=19): 4241 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(199,a,2761,a(flip),b,4232,a(flip))]. given #4026 (H,wt=19): 4243 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4232(a,1),101(a,1,1)),flip(a)]. given #4027 (H,wt=14): 4311 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2478,a,4243,a)]. given #4028 (H,wt=14): 4313 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(391,a,4243,a)]. given #4029 (H,wt=19): 4245 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4232(a,1),421(a,1,1))]. given #4030 (H,wt=17): 4326 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(666(a,1),4245(a,1,2)),flip(a)]. given #4031 (H,wt=15): 4327 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4326(a,1),4266(a,1,2)),flip(a)]. given #4032 (H,wt=17): 4328 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(4327(a,1),181(a,1,2))]. given #4033 (H,wt=19): 4248 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4232(a,1),2267(a,1,1))]. given #4034 (H,wt=19): 4249 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4242(a,1),101(a,1,1)),flip(a)]. given #4035 (H,wt=19): 4254 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4246(a,1),101(a,1,1)),flip(a)]. given #4036 (H,wt=14): 4334 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(391,a,4254,a)]. given #4037 (H,wt=17): 4332 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3454,a,4254,a)]. given #4038 (H,wt=17): 4340 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(68,a,4332,a(flip),b,2001,a(flip))]. given #4039 (H,wt=17): 4342 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(68,a,4340,a(flip),b,2018,a(flip)),flip(a)]. given #4040 (H,wt=19): 4257 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4246(a,1),2262(a,1,1))]. given #4041 (H,wt=19): 4258 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4247(a,1),101(a,1,1)),flip(a)]. given #4042 (H,wt=14): 4345 L(K(1 / x,x),y,z) = K(1 / x,x). [hyper(391,a,4258,a)]. given #4043 (H,wt=19): 4268 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2293(a,1),4253(a,1,2))]. given #4044 (H,wt=19): 4277 T(x,T((y \ 1) \ 1,z) * u) = T(x,T(y,z) * u). [para(3224(a,1),4253(a,1,2))]. given #4045 (H,wt=19): 4281 T(x,T(1 / y,z) * u) = T(x,T(y \ 1,z) * u). [para(3231(a,1),4269(a,1,2)),flip(a)]. given #4046 (H,wt=19): 4291 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4255(a,1),2649(a,1,1))]. given #4047 (H,wt=17): 4346 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(18,a,3574,a(flip),b,4291,a)]. given #4048 (H,wt=17): 4347 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [para(4346(a,1),14(a,1,2))]. given #4049 (H,wt=17): 4348 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(17,a,3536,a,b,4347,a),flip(a)]. given #4050 (H,wt=17): 4349 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(73,a,4348,a)]. given #4051 (H,wt=15): 4350 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(199,a,3590,a(flip),b,4349,a(flip)),flip(a)]. given #4052 (H,wt=17): 4351 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(199,a,3573,a(flip),b,4349,a(flip)),flip(a)]. given #4053 (H,wt=17): 4352 (x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1. [para(4351(a,1),14(a,1,2))]. given #4054 (H,wt=19): 4293 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(199,a,3547,a(flip),b,4233,a(flip)),flip(a)]. given #4055 (H,wt=19): 4307 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2246(a,2),4239(a,1,2))]. given #4056 (H,wt=19): 4312 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2251,a,4243,a)]. given #4057 (H,wt=19): 4325 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(199,a,3491,a,b,4245,a(flip)),flip(a)]. given #4058 (H,wt=17): 4362 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4325(a,2),4266(a,1,2))]. given #4059 (H,wt=19): 4330 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(2245,a,4249,a)]. given #4060 (H,wt=19): 4331 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(18,a,3539,a(flip),b,4249,a)]. given #4061 (H,wt=19): 4343 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(199,a,2234,a,b,4257,a)]. given #4062 (H,wt=19): 4353 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2759,a,4293,a)]. given #4063 (H,wt=19): 4361 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(199,a,2246,a,b,4325,a)]. given #4064 (H,wt=19): 4363 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2749(a,1),4362(a,1,2,1))]. given #4065 (H,wt=19): 4364 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2878(a,1),4362(a,1,2,1)),flip(a)]. given #4066 (H,wt=19): 4365 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(199,a,3544,a,b,4343,a(flip)),flip(a)]. given #4067 (H,wt=19): 4370 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2745(a,1),4353(a,1,2,2))]. given #4068 (H,wt=20): 4287 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3306(a,2),4276(a,1,2,1))]. given #4069 (H,wt=20): 4323 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2634(a,1),4313(a,1,1))]. given #4070 (H,wt=20): 4375 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4323(a,1),282(a,1)),flip(b)]. given #4071 (H,wt=21): 4282 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4271(a,1),4171(a,1,2,1))]. given #4072 (H,wt=15): 4377 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4172,a,4282,a)]. given #4073 (H,wt=15): 4378 T(x * (y / x),z) = x * (T(y,z) / x). [para(4377(a,1),14(a,1,2)),flip(a)]. given #4074 (H,wt=15): 4379 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4377(a,1,2,1,2)),flip(a)]. given #4075 (H,wt=15): 4380 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4377(a,2),16(a,1,1))]. given #4076 (H,wt=15): 4382 T((x \ y) * x,z) / x = x \ T(y,z). [para(59(a,1),4377(a,1,2,1)),flip(a)]. given #4077 (H,wt=15): 4384 T(x * y,z) / x = x \ T(y * x,z). [para(194(a,1),4377(a,1,2,1)),flip(a)]. given #4078 (H,wt=15): 4394 T(x * (y / x),K(y,z)) = x * (y / x). [para(3089(a,1),4378(a,2,2,1))]. given #4079 (H,wt=13): 4408 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4394,a)]. given #4080 (H,wt=15): 4398 (x \ T(x * y,z)) * x = T(y * x,z). [para(4379(a,1),16(a,1,1))]. given #4081 (H,wt=15): 4403 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(59(a,1),4380(a,1,1,2,1)),flip(a)]. given #4082 (H,wt=15): 4409 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4408(a,1,2,2))]. given #4083 (H,wt=15): 4416 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4398(a,1),4043(a,1,2))]. given #4084 (H,wt=17): 4388 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(107(a,1),4378(a,2,2,1))]. given #4085 (H,wt=17): 4391 T(x * (y / x),x \ y) = x * T(y / x,y). [para(1150(a,1),4378(a,2,2))]. given #4086 (H,wt=17): 4399 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4379(a,1),107(a,1,1))]. given #4087 (H,wt=17): 4419 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4403(a,1),105(a,1,2))]. given #4088 (H,wt=17): 4424 T(x \ T(x * y,y),x) != z | R(y,x,y) = z. [para(4399(a,2),4029(a,1))]. given #4089 (H,wt=18): 4383 x * (T(y,z) / x) != u | T(x * (y / x),z) = u. [para(4377(a,1),211(a,1,2)),flip(b)]. given #4090 (H,wt=18): 4412 T(x * y,z) != u * y | y \ T(y * x,z) = u. [para(4398(a,1),20(a,1))]. given #4091 (H,wt=18): 4413 T(x * y,z) / y != u | y \ T(y * x,z) = u. [para(4398(a,1),262(a,1,1)),flip(b)]. given #4092 (H,wt=18): 4418 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4403(a,2),20(a,1))]. given #4093 (H,wt=19): 4381 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(60(a,1),4377(a,1,2,1,2))]. given #4094 (H,wt=17): 4427 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(199,a,954,a(flip),b,4381,a)]. given #4095 (H,wt=19): 4390 T(x * (y / x),y \ z) = x * (((y \ z) \ z) / x). [para(106(a,1),4378(a,2,2,1))]. given #4096 (H,wt=19): 4395 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(3940(a,1),4378(a,2,2,1))]. given #4097 (H,wt=19): 4396 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(876,a,4379,a),flip(a)]. given #4098 (H,wt=19): 4397 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(199,a,799,a,b,4379,a),flip(a)]. given #4099 (H,wt=19): 4402 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(199,a,2767,a,b,4380,a(flip)),flip(a)]. given #4100 (H,wt=19): 4421 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4403(a,2),87(a,1,1))]. given #4101 (H,wt=19): 4423 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4388(a,1),105(a,1,2)),flip(a)]. given #4102 (H,wt=19): 4425 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(107(a,1),4419(a,1,2,1,2)),flip(a)]. given #4103 (H,wt=19): 4428 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(199,a,4378,a,b,4395,a)]. given #4104 (H,wt=19): 4430 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2762,a,4402,a),flip(a)]. given #4105 (H,wt=19): 4435 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(79,a,4425,a)]. given #4106 (H,wt=19): 4441 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(13(a,1),4435(a,1,1,2,1,2))]. given #4107 (H,wt=17): 4443 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4053,a,4441,a),flip(a)]. given #4108 (H,wt=21): 4284 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3035(a,1),4275(a,2,2))]. given #4109 (H,wt=19): 4444 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3399(a,1),4284(a,1,2))]. given #4110 (H,wt=21): 4310 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2733(a,1),4241(a,2,2))]. given #4111 (H,wt=19): 4445 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(2007(a,1),4310(a,1,1)),flip(a)]. given #4112 (H,wt=21): 4318 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(199,a,1200,a,b,4311,a(flip)),flip(a)]. given #4113 (H,wt=21): 4337 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(199,a,2614,a,b,4334,a(flip)),flip(a)]. given #4114 (H,wt=21): 4369 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2689(a,1),4353(a,1,2,2))]. given #4115 (H,wt=19): 4449 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(4369(a,1),4267(a,1,2))]. given #4116 (H,wt=21): 4371 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(2806(a,1),4365(a,1,1)),flip(a)]. given #4117 (H,wt=21): 4376 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4323(a,2),4375(a,1))]. given #4118 (H,wt=21): 4401 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4379(a,1),3715(a,1,2))]. given #4119 (H,wt=21): 4438 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(4096,a,4428,a)]. given #4120 (H,wt=21): 4440 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(2878(a,1),4430(a,1,1)),flip(a)]. given #4121 (H,wt=19): 4451 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(4440(a,1),4253(a,1,2)),flip(a)]. given #4122 (H,wt=19): 4452 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(63(a,1),4451(a,1,2,1,1,1)),flip(a)]. given #4123 (H,wt=21): 4447 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4318(a,1),14(a,1,2))]. given #4124 (H,wt=22): 4261 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4240(a,1),101(a,1,1))]. given #4125 (H,wt=22): 4322 (x * y) * K(z \ 1,z) != u | x * (y * K(z \ 1,z)) = u. [para(4313(a,1),218(a,1,2))]. given #4126 (H,wt=22): 4338 (x * y) * K(z,z \ 1) != u | x * (y * K(z,z \ 1)) = u. [para(4334(a,1),218(a,1,2))]. given #4127 (H,wt=20): 4456 ((x \ 1) \ 1) * y != z | x * (y * K(x,x \ 1)) = z. [para(2826(a,1),4338(a,1))]. given #4128 (H,wt=22): 4367 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4343(a,2),2237(a,1))]. given #4129 (H,wt=22): 4422 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4409(a,1),215(a,1,2))]. given #4130 (H,wt=22): 4442 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4435(a,1),207(a,1,1)),flip(b)]. given #4131 (H,wt=23): 4264 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(199,a,3427,a(flip),b,4253,a)]. given #4132 (H,wt=23): 4316 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4243(a,1),3532(a,1,1))]. given #4133 (H,wt=23): 4317 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4243(a,1),3547(a,1,1))]. given #4134 (H,wt=23): 4359 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4293(a,1),4248(a,1,2))]. given #4135 (H,wt=23): 4374 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4370(a,1),4325(a,1,1))]. given #4136 (H,wt=23): 4400 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(85(a,1),4379(a,2,2,1))]. given #4137 (H,wt=23): 4436 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(199,a,3618,a,b,4425,a(flip)),flip(a)]. given #4138 (H,wt=23): 4450 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(199,a,1401,a,b,4401,a(flip)),flip(a)]. given #4139 (H,wt=23): 4453 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4447(a,1),2700(a,1,1))]. given #4140 (H,wt=23): 4457 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3606(a,2),4264(a,1,2))]. given #4141 (H,wt=21): 4463 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3494(a,1),4457(a,1,2,1))]. given #4142 (H,wt=23): 4461 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4442,a,4450,a)]. given #4143 (H,wt=24): 4414 T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. [para(4398(a,1),378(a,1,2))]. given #4144 (H,wt=25): 4410 ((x / y) \ T((x / y) * y,y)) * (x / y) = y \ (x * ((y \ x) \ x)). [hyper(199,a,3988,a(flip),b,4398,a)]. given #4145 (H,wt=21): 4464 ((x / y) \ T(x,y)) * (x / y) = y \ (x * ((y \ x) \ x)). [para(16(a,1),4410(a,1,1,2,1))]. given #4146 (H,wt=19): 4465 x \ (y * ((x \ y) \ y)) = ((y * x) / y) * (y / x). [para(1162(a,1),4464(a,1,1)),flip(a)]. given #4147 (H,wt=17): 4466 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [hyper(199,a,4081,a(flip),b,4465,a(flip))]. given #4148 (H,wt=20): 4467 ((x * y) / x) * (x / y) != y * z | x / T(y,x) = z. [para(4466(a,2),19(a,1))]. given #4149 (H,wt=21): 4468 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(60(a,1),4466(a,1,2)),flip(a)]. given #4150 (H,wt=25): 4454 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4261(a,1),20(a,1))]. given #4151 (H,wt=26): 4259 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4247(a,1),461(a,1,1))]. given #4152 (H,wt=26): 4455 (x * y) * K(z \ 1,z) != u | x * (y * K(1 / z,(1 / z) \ 1)) = u. [para(2051(a,1),4338(a,1,2))]. given #4153 (H,wt=26): 4462 ((L(x,y,z) \ 1) * x) * (1 / x) != u * (x \ 1) | L(x,y,z) \ x = u. [para(4453(a,2),20(a,1))]. given #4154 (H,wt=26): 4470 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4258(a,1),4259(a,1,2))]. given #4155 (H,wt=26): 4471 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4258(a,1),4470(a,1,2,2))]. given #4156 (H,wt=21): 4472 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(403,a,4471,a)]. given #4157 (H,wt=24): 4473 L(x * K(1 / y,y),z,u) != L(x,z,u) * w | K(1 / y,y) = w. [para(4472(a,2),19(a,1))]. given #4158 (H,wt=27): 4308 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4306(a,1),3427(a,1,2,1)),flip(a)]. given #4159 (H,wt=25): 4474 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3554(a,1),4308(a,1,2,1)),flip(a)]. given #4160 (H,wt=21): 4475 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(199,a,4463,a(flip),b,4474,a(flip))]. given #4161 (H,wt=28): 4434 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(145(a,2),4423(a,2,2,2,1))]. given #4162 (H,wt=28): 4437 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(146(a,2),4425(a,1,1,1,2))]. given #4163 (H,wt=28): 4477 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(199,a,4423,a(flip),b,4434,a(flip))]. given #4164 (H,wt=28): 4478 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3609(a,2),4437(a,1,1))]. given #4165 (H,wt=25): 4479 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(212,a,4478,a),flip(a)]. given #4166 (H,wt=29): 4469 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(106(a,2),4468(a,1,2,2,1))]. given #4167 (H,wt=25): 4480 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(199,a,1642,a(flip),b,4469,a)]. given #4168 (H,wt=23): 4481 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(199,a,4081,a(flip),b,4480,a)]. given #4169 (H,wt=31): 4433 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3792,a,4423,a),flip(a)]. given #4170 (H,wt=31): 4482 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4423(a,1),4433(a,2,1))]. given #4171 (H,wt=32): 4458 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3563,a,4316,a),flip(a)]. given #4172 (H,wt=20): 4484 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4353(a,1),4458(a,1,2)),flip(a)]. given #4173 (H,wt=15): 4485 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(199,a,28,a,b,4484,a)]. given #4174 (H,wt=13): 4488 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1357(a,1),4485(a,1,2)),flip(a)]. given #4175 (H,wt=13): 4489 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1358(a,1),4485(a,1,2)),flip(a)]. given #4176 (H,wt=15): 4490 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2246(a,2),4485(a,1,2))]. given #4177 (H,wt=17): 4491 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2682(a,1),4485(a,1,2)),flip(a)]. given #4178 (H,wt=17): 4492 L(x,(1 / y) * z,u) = L(x,(y \ 1) * z,u). [para(2841(a,1),4485(a,1,2)),flip(a)]. given #4179 (H,wt=17): 4495 L(x,T(1 / y,z),u) = L(x,T(y \ 1,z),u). [para(2216(a,1),4488(a,1,2)),flip(a)]. given #4180 (H,wt=21): 4493 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3147(a,1),4485(a,1,2))]. given #4181 (H,wt=21): 4494 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3181(a,1),4485(a,1,2))]. given #4182 (H,wt=22): 4496 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(4489(a,1),92(a,1,2))]. given #4183 (H,wt=25): 4498 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(4496(a,1),19(a,1)),flip(a)]. given #4184 (H,wt=32): 4459 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(69,a,4317,a(flip),b,101,a)]. given #4185 (H,wt=32): 4499 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3547(a,1),4459(a,1,2))]. given #4186 (H,wt=32): 4500 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(199,a,4307,a(flip),b,4499,a(flip)),flip(a)]. given #4187 (H,wt=27): 4501 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3599(a,1),4500(a,1,2))]. given #4188 (H,wt=15): 4502 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(199,a,3603,a(flip),b,4501,a(flip))]. given #4189 (H,wt=13): 4504 R(x,1 / y,z) = R(x,y \ 1,z). [para(666(a,1),4502(a,1,2)),flip(a)]. given #4190 (H,wt=13): 4505 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1357(a,1),4502(a,1,2)),flip(a)]. given #4191 (H,wt=22): 4508 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(4505(a,1),101(a,1,1))]. given #4192 (H,wt=24): 4507 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(4504(a,1),3433(a,1,2))]. given #4193 (H,wt=24): 4510 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2822(a,1),4507(a,1,2,1))]. given #4194 (H,wt=25): 4509 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(4508(a,1),20(a,1))]. given #4195 (H,wt=26): 4511 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(3839(a,1),4510(a,1,2,1)),flip(a)]. given #4196 (H,wt=33): 4118 (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(3944(a,1),158(a,1,1,2))]. given #4197 (H,wt=31): 4512 (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(1500(a,1),4118(a,1,1))]. given #4198 (H,wt=29): 4513 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1069(a,1),4512(a,1,2))]. given #4199 (H,wt=19): 4514 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(597,a,4513,a),flip(a)]. given #4200 (H,wt=25): 4515 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(199,a,4179,a,b,4514,a(flip)),flip(a)]. given #4201 (H,wt=23): 4516 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3926(a,1),4515(a,1,1))]. given #4202 (H,wt=34): 4110 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(3306(a,2),4109(a,1,2,1)),flip(a)]. given #4203 (H,wt=34): 4372 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4370(a,2),24(a,2,2,1)),flip(a)]. given #4204 (H,wt=34): 4517 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3493(a,1),4372(a,1,1,2))]. given #4205 (H,wt=34): 4518 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3493(a,1),4517(a,1,2))]. given #4206 (H,wt=34): 4519 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4367,a,4518,a)]. given #4207 (H,wt=34): 4520 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4374(a,1),4519(a,1,1))]. given #4208 (H,wt=27): 4521 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),4520(a,1,1,1))]. given #4209 (H,wt=15): 4522 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(199,a,2741,a(flip),b,4521,a(flip))]. given #4210 (H,wt=15): 4524 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2234(a,1),4522(a,1,2))]. given #4211 (H,wt=35): 4483 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(63(a,1),4482(a,1,1,2)),flip(a)]. given #4212 (H,wt=31): 4525 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(63(a,1),4483(a,2,2,2,1,1,2))]. given #4213 (H,wt=27): 4526 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(63(a,1),4525(a,1,2))]. given #4214 (H,wt=36): 4335 R(x * y,L(z,y,x),K(u,u \ 1)) \ (x * ((y * z) * K(u,u \ 1))) = L(z,y,x) * K(u,u \ 1). [para(4254(a,1),461(a,1,2))]. given #4215 (H,wt=26): 4527 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = L(z,y,x) * K(u,u \ 1). [para(4246(a,1),4335(a,1,1))]. given #4216 (H,wt=26): 4529 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = L(z,y,x) * K(u,u \ 1). [para(4254(a,1),4527(a,1,2,2))]. given #4217 (H,wt=21): 4530 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(403,a,4529,a)]. given #4218 (H,wt=19): 4533 L(x,y,z) * K(x,x \ 1) = L((x \ 1) \ 1,y,z). [para(2037(a,1),4530(a,1,1)),flip(a)]. given #4219 (H,wt=19): 4534 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(2080(a,1),4530(a,1,1)),flip(a)]. given #4220 (H,wt=19): 4535 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(68,a,4533,a(flip),b,2017,a(flip))]. given #4221 (H,wt=19): 4536 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [para(2000(a,2),4533(a,1,2))]. given #4222 (H,wt=19): 4539 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(199,a,2061,a,b,4535,a(flip)),flip(a)]. given #4223 (H,wt=13): 4541 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2177,a,4539,a)]. given #4224 (H,wt=13): 4542 L(x,y,z) / x = x \ L(x,y,z). [hyper(79,a,4541,a)]. given #4225 (H,wt=15): 4543 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(199,a,1462,a,b,4542,a(flip)),flip(a)]. given #4226 (H,wt=12): 4544 T(1 / x,L(x,y,z)) = x \ 1. [hyper(154,a,4543,a,b,1003,a)]. given #4227 (H,wt=12): 4546 T(x \ 1,L(x,y,z)) = 1 / x. [para(4544(a,1),47(a,1,1))]. given #4228 (H,wt=21): 4531 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(199,a,2234,a,b,4530,a)]. given #4229 (H,wt=21): 4532 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [hyper(2765,a,4530,a(flip))]. given #4230 (H,wt=17): 4548 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(199,a,3194,a(flip),b,4532,a(flip)),flip(a)]. given #4231 (H,wt=17): 4551 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(15(a,1),4548(a,1,1,2,1,2))]. given #4232 (H,wt=17): 4552 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4548(a,1),59(a,1,2,1)),flip(a)]. given #4233 (H,wt=17): 4553 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(59(a,1),4548(a,1,1,2,1)),flip(a)]. given #4234 (H,wt=21): 4537 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4534(a,1),3525(a,1,1))]. given #4235 (H,wt=21): 4538 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4534(a,1),3541(a,1,1)),flip(a)]. given #4236 (H,wt=21): 4549 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2753(a,1),4532(a,1,2,1)),flip(a)]. given #4237 (H,wt=21): 4559 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(199,a,1206,a(flip),b,4538,a(flip)),flip(a)]. given #4238 (H,wt=21): 4560 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(199,a,2246,a(flip),b,4549,a)]. given #4239 (H,wt=21): 4563 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [para(2246(a,1),4560(a,1,1))]. given #4240 (H,wt=22): 4555 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4553(a,1),92(a,1,2))]. given #4241 (H,wt=22): 4556 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(407(a,1),4553(a,2,1,2))]. given #4242 (H,wt=23): 4540 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(4536(a,1),4330(a,2,2))]. given #4243 (H,wt=23): 4545 x \ L(x,y,z) != L(x,y,z) * u | T(1 / x,L(x,y,z)) = u. [para(4543(a,1),155(a,2)),flip(a)]. given #4244 (H,wt=23): 4566 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(68,a,4556,a(flip),b,173,a),flip(a)]. given #4245 (H,wt=19): 4568 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(199,a,4461,a(flip),b,4566,a(flip)),flip(a)]. given #4246 (H,wt=19): 4569 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(4568(a,1),16(a,1,1))]. given #4247 (H,wt=22): 4570 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4568(a,1),207(a,1,1)),flip(b)]. given #4248 (H,wt=22): 4571 (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. [para(4569(a,2),20(a,1))]. given #4249 (H,wt=24): 4557 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(409(a,1),4553(a,2,1,2))]. given #4250 (H,wt=19): 4572 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(199,a,4200,a(flip),b,4557,a(flip))]. given #4251 (H,wt=15): 4573 x * (y \ (x / (x / y))) = (y \ x) * y. [para(111(a,1),4572(a,1,1,2)),flip(a)]. given #4252 (H,wt=13): 4574 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,221,a,b,4573,a)]. given #4253 (H,wt=13): 4576 ((x \ y) * x) / y = K(x \ y,x). [hyper(199,a,4198,a,b,4574,a(flip)),flip(a)]. given #4254 (H,wt=13): 4577 x / (x / y) = y * K(y \ x,y). [para(4574(a,1),14(a,1,2)),flip(a)]. given #4255 (H,wt=13): 4580 K(x \ y,x) * y = (x \ y) * x. [para(4576(a,1),16(a,1,1))]. given #4256 (H,wt=13): 4587 K(x \ y,x) * ((x \ y) \ y) = x. [hyper(4018,a,4580,a)]. given #4257 (H,wt=15): 4575 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(199,a,4199,a,b,4574,a(flip)),flip(a)]. given #4258 (H,wt=15): 4579 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(199,a,3773,a,b,4576,a(flip)),flip(a)]. given #4259 (H,wt=15): 4583 (x * y) / ((x * y) / x) = x * K(y,x). [para(13(a,1),4577(a,2,2,1))]. given #4260 (H,wt=9): 4592 K(x,y) = T(y,x) \ y. [hyper(3700,a,4583,a),flip(a)]. given #4261 (H,wt=9): 4596 K(x,y) = y / T(y,x). [hyper(199,a,2953,a,b,4592,a)]. given #4262 (H,wt=9): 4599 K(x,y) = x \ T(x,y). [hyper(199,a,3894,a(flip),b,4592,a)]. given #4263 (H,wt=9): 4607 T(x,y) * K(y,x) = x. [para(4592(a,2),14(a,1,2))]. given #4264 (H,wt=9): 4610 T(x,y) = x / K(y,x). [para(4592(a,2),60(a,1,2)),flip(a)]. given #4265 (H,wt=9): 4618 K(x,y) * T(y,x) = y. [para(4592(a,2),2955(a,1,1))]. given #4266 (H,wt=9): 4619 T(x,y) = K(y,x) \ x. [para(4592(a,2),2956(a,1,1)),flip(a)]. given #4267 (H,wt=9): 4625 T(x * K(y,x),y) = x. [para(4592(a,2),3901(a,1,1,2))]. given #4268 (H,wt=9): 4644 K(x,y) = T(x,y) / x. [hyper(199,a,2995,a,b,4599,a)]. given #4269 (H,wt=9): 4652 T(x,y) = x * K(x,y). [para(4599(a,2),14(a,1,2)),flip(a)]. given #4270 (H,wt=9): 4660 T(x,y) = K(x,y) * x. [para(4599(a,2),2994(a,1,1)),flip(a)]. given #4271 (H,wt=9): 4685 T(x,y) = x * K(y,x). [para(4625(a,1),47(a,1,1))]. given #4272 (H,wt=7): 4738 K(x,y) = K(y,x). [hyper(17,a,4652,a(flip),b,4685,a(flip))]. given #4273 (H,wt=8): 4750 a(K(x,y),y,z) = 1. [para(4738(a,1),3853(a,1,1))]. given #4274 (H,wt=8): 4751 R(x,K(y,x),z) = x. [para(4738(a,1),4002(a,1,2))]. given #4275 (H,wt=8): 4752 L(x,K(y,z),z) = x. [para(4738(a,1),4010(a,1,2))]. given #4276 (H,wt=9): 4696 T(K(x,y) * y,x) = y. [para(2964(a,2),4625(a,1,1))]. given #4277 (H,wt=9): 4736 T(x,y) = K(y,x) * x. [hyper(199,a,2964,a,b,4685,a)]. given #4278 (H,wt=9): 4744 K(x,y) = x / T(x,y). [hyper(199,a,4596,a(flip),b,4738,a)]. given #4279 (H,wt=9): 4753 K(x,y) * T(x,y) = x. [para(4738(a,1),4618(a,1,1))]. given #4280 (H,wt=11): 4593 K(x,y) = (x * y) / (y * x). [hyper(199,a,3834,a,b,4592,a)]. given #4281 (H,wt=11): 4594 K(x,y) = ((y * x) / y) \ x. [hyper(199,a,3634,a,b,4592,a)]. given #4282 (H,wt=11): 4597 K(x,y) = (1 / T(y,x)) * y. [hyper(199,a,2951,a,b,4592,a)]. given #4283 (H,wt=11): 4598 K(x,y) = y * (T(y,x) \ 1). [hyper(199,a,932,a,b,4592,a)]. given #4284 (H,wt=11): 4603 K(x,y) / y = 1 / T(y,x). [hyper(69,a,4592,a,b,2951,a)]. given #4285 (H,wt=11): 4605 T(x,y) \ 1 = x \ K(y,x). [hyper(68,a,4592,a,b,932,a),flip(a)]. given #4286 (H,wt=11): 4620 T(x,y) = (K(y,x) / x) \ 1. [para(4592(a,2),2952(a,1,1,1)),flip(a)]. given #4287 (H,wt=11): 4622 K(x,y) * (y * x) = x * y. [para(4592(a,2),3831(a,1,1))]. given #4288 (H,wt=11): 4624 (x * y) / x = y * K(x,y). [para(4592(a,2),3896(a,2,2))]. given #4289 (H,wt=11): 4640 K(x,y) = ((x * y) / x) / y. [hyper(199,a,3631,a,b,4599,a)]. given #4290 (H,wt=11): 4642 K(x,y) = y \ ((x * y) / x). [hyper(199,a,3627,a,b,4599,a)]. given #4291 (H,wt=11): 4643 K(x,y) = (1 / x) * T(x,y). [hyper(199,a,3010,a,b,4599,a)]. given #4292 (H,wt=11): 4645 K(x,y) = T(x,y) * (x \ 1). [hyper(199,a,847,a,b,4599,a)]. given #4293 (H,wt=11): 4662 (x * K(y,x)) * y = y * x. [para(4599(a,2),3622(a,1,1,2))]. given #4294 (H,wt=11): 4663 T(x,y) * K(y,T(x,y)) = x. [para(4599(a,2),3625(a,1,2))]. given #4295 (H,wt=9): 4827 K(x,T(y,x)) = K(x,y). [hyper(17,a,4607,a,b,4663,a)]. given #4296 (H,wt=11): 4664 (x * y) / x = K(x,y) * y. [para(4599(a,2),3626(a,1,1)),flip(a)]. given #4297 (H,wt=11): 4666 L(x,K(y,z),y) != u | u = x. [para(4599(a,2),3814(a,1,2))]. given #4298 (H,wt=11): 4699 T(x,y * K(x,y)) = T(x,y). [para(4625(a,1),3926(a,1,2)),flip(a)]. given #4299 (H,wt=11): 4723 x * (K(y,x) * y) = y * x. [para(4660(a,1),105(a,1,2))]. given #4300 (H,wt=11): 4745 x * K(y,z) = x * K(z,y). [hyper(21,a,4738,a)]. given #4301 (H,wt=11): 4746 (x * y) * K(x,y) = y * x. [para(4738(a,1),85(a,1,2))]. given #4302 (H,wt=11): 4747 T(K(x,y),K(z,y)) = K(x,y). [para(4738(a,1),1911(a,1,2))]. given #4303 (H,wt=11): 4748 T(K(x,y),K(x,z)) = K(x,y). [para(4738(a,1),1913(a,1,2))]. given #4304 (H,wt=11): 4761 K(x,y) = x / ((y * x) / y). [para(185(a,1),4744(a,2,2))]. given #4305 (H,wt=11): 4775 T(x,y) \ 1 = x \ K(x,y). [hyper(68,a,4738,a,b,4598,a(flip)),flip(a)]. given #4306 (H,wt=11): 4780 T(x,y) = 1 / (x \ K(y,x)). [para(4605(a,1),60(a,1,2)),flip(a)]. given #4307 (H,wt=11): 4814 (x * K(y,x)) \ x = K(x,y). [para(4624(a,1),4594(a,2,1)),flip(a)]. given #4308 (H,wt=11): 4828 K(x,x \ (y * x)) = K(x,y). [para(32(a,1),4827(a,1,2))]. given #4309 (H,wt=11): 4830 K(x,y / x) = K(x,x \ y). [para(107(a,1),4827(a,1,2)),flip(a)]. given #4310 (H,wt=11): 4832 K(x,y * K(x,y)) = K(x,y). [para(4625(a,1),4827(a,1,2)),flip(a)]. given #4311 (H,wt=11): 4833 L(x,K(y,z),z) != u | u = x. [para(4738(a,1),4666(a,1,2))]. given #4312 (H,wt=12): 4612 x * K(y,z) != z | T(z,y) = x. [para(4592(a,2),78(a,1,2)),flip(b)]. given #4313 (H,wt=12): 4613 x / K(y,x) != z | T(x,y) = z. [para(4592(a,2),261(a,1,2)),flip(b)]. given #4314 (H,wt=12): 4621 K(x,y) != z | y / T(y,x) = z. [para(4592(a,2),2954(a,1))]. given #4315 (H,wt=12): 4627 K(x,y) != z | x \ T(x,y) = z. [para(4592(a,2),3948(a,1))]. given #4316 (H,wt=12): 4655 x * K(x,y) != z | T(x,y) = z. [para(4599(a,2),211(a,1,2)),flip(b)]. given #4317 (H,wt=12): 4661 K(x,y) * x != z | T(x,y) = z. [para(4599(a,2),3013(a,1,1))]. given #4318 (H,wt=12): 4672 T(x,y) * z != x | K(y,x) = z. [para(4607(a,1),19(a,1)),flip(a)]. given #4319 (H,wt=12): 4673 T(x,y) \ x != z | K(y,x) = z. [para(4607(a,1),254(a,1,2)),flip(b)]. given #4320 (H,wt=12): 4681 x / T(x,y) != z | K(y,x) = z. [para(4618(a,1),262(a,1,1)),flip(b)]. given #4321 (H,wt=10): 4862 K(x,y) != z | K(y,x) = z. [para(4744(a,2),4681(a,1))]. given #4322 (H,wt=12): 4687 T(x,y) != z | x * K(y,x) = z. [para(4625(a,1),338(a,1,1)),flip(b)]. given #4323 (H,wt=12): 4708 T(x,y) != x * z | K(x,y) = z. [para(4652(a,2),19(a,1))]. given #4324 (H,wt=12): 4709 x \ T(x,y) != z | K(x,y) = z. [para(4652(a,2),254(a,1,2)),flip(b)]. given #4325 (H,wt=12): 4722 T(x,y) != z * x | K(x,y) = z. [para(4660(a,2),20(a,1))]. given #4326 (H,wt=12): 4724 T(x,y) / x != z | K(x,y) = z. [para(4660(a,2),262(a,1,1)),flip(b)]. given #4327 (H,wt=12): 4735 T(x,y) != z | x * K(x,y) = z. [para(4660(a,2),3092(a,1))]. given #4328 (H,wt=12): 4739 T(x,y) != x * z | K(y,x) = z. [para(4685(a,2),19(a,1))]. given #4329 (H,wt=12): 4759 T(x,y) != z * x | K(y,x) = z. [para(4736(a,2),20(a,1))]. given #4330 (H,wt=12): 4765 x / T(x,y) != z | K(x,y) = z. [para(4753(a,1),262(a,1,1)),flip(b)]. given #4331 (H,wt=12): 4797 x * K(y,x) != z | T(x,y) = z. [para(4624(a,1),266(a,1))]. given #4332 (H,wt=12): 4854 K(x,y) != z | x / T(x,y) = z. [para(4738(a,1),4621(a,1))]. given #4333 (H,wt=13): 4600 x * T(x \ 1,y) = K(x \ 1,y). [hyper(199,a,3887,a(flip),b,4592,a),flip(a)]. given #4334 (H,wt=13): 4615 ((x \ y) \ y) * K(x \ y,x) = x. [para(4592(a,2),272(a,1,2))]. given #4335 (H,wt=13): 4617 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4592(a,2),2485(a,1,2))]. given #4336 (H,wt=13): 4626 x * (K(x,y) * z) = T(x,y) * z. [para(4592(a,2),3897(a,1,2,1))]. given #4337 (H,wt=9): 4897 K(x,y) * K(y,x) = 1. [hyper(67,a,4607,a(flip),b,4626,a),flip(a)]. given #4338 (H,wt=9): 4910 K(T(x,y),y) = K(x,y). [hyper(4001,a,4897,a)]. given #4339 (H,wt=9): 4911 1 / K(x,y) = K(y,x). [hyper(79,a,4897,a)]. given #4340 (H,wt=9): 4912 K(x,y) \ 1 = K(y,x). [hyper(73,a,4897,a)]. given #4341 (H,wt=9): 4913 K(x,y) * K(x,y) = 1. [hyper(199,a,4745,a,b,4897,a(flip)),flip(a)]. given #4342 (H,wt=11): 4919 K(x \ (y * x),x) = K(y,x). [para(32(a,1),4910(a,1,1))]. given #4343 (H,wt=11): 4920 K(x / y,y) = K(y \ x,y). [para(107(a,1),4910(a,1,1)),flip(a)]. given #4344 (H,wt=11): 4926 K(x * K(y,x),y) = K(x,y). [para(4625(a,1),4910(a,1,1)),flip(a)]. given #4345 (H,wt=12): 4914 K(x,y) * z != 1 | K(y,x) = z. [para(4897(a,1),19(a,1)),flip(a)]. given #4346 (H,wt=12): 4916 K(x,y) \ 1 != z | K(y,x) = z. [para(4897(a,1),254(a,1,2)),flip(b)]. given #4347 (H,wt=12): 4917 1 / K(x,y) != z | K(y,x) = z. [para(4897(a,1),262(a,1,1)),flip(b)]. given #4348 (H,wt=12): 4925 K(x,T(y,x)) != z | K(x,y) = z. [para(4910(a,1),4009(a,1))]. given #4349 (H,wt=13): 4628 T(x,y) * (x \ z) = K(x,y) * z. [para(4592(a,2),3898(a,2,1))]. given #4350 (H,wt=13): 4631 x * (T(x,y) \ z) = K(y,x) * z. [para(4592(a,2),4154(a,1,1)),flip(a)]. given #4351 (H,wt=13): 4632 K(x,y) * (T(y,x) * z) = y * z. [para(4592(a,2),4155(a,1,1))]. given #4352 (H,wt=13): 4636 (T(x,y) * z) / (x * z) = K(x,y). [hyper(199,a,3822,a,b,4599,a),flip(a)]. given #4353 (H,wt=13): 4639 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(199,a,3632,a,b,4599,a)]. given #4354 (H,wt=13): 4647 x * T(x \ 1,y) = K(1 / x,y). [hyper(199,a,638,a(flip),b,4599,a),flip(a)]. given #4355 (H,wt=13): 4649 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(68,a,4599,a,b,3632,a)]. given #4356 (H,wt=13): 4650 x \ T(x,y \ 1) = K(x,1 / y). [hyper(199,a,3385,a,b,4599,a(flip))]. given #4357 (H,wt=13): 4658 x \ T(x,y \ x) = K(x,x / y). [para(1157(a,1),4599(a,2,2)),flip(a)]. given #4358 (H,wt=11): 4988 K(x,x / y) = K(x,y \ x). [hyper(4709,a,4658,a),flip(a)]. given #4359 (H,wt=11): 4989 K(x / y,x) = K(x,y \ x). [hyper(4862,a,4988,a)]. given #4360 (H,wt=11): 4990 K(x,(y \ x) \ x) = K(x,y). [para(60(a,1),4988(a,1,2)),flip(a)]. given #4361 (H,wt=11): 4991 K(x / y,x) = K(y \ x,x). [hyper(199,a,4738,a,b,4989,a)]. given #4362 (H,wt=11): 4993 K((x \ y) \ y,y) = K(x,y). [para(60(a,1),4991(a,1,1)),flip(a)]. given #4363 (H,wt=13): 4665 (x \ y) * K(x,x \ y) = y / x. [para(4599(a,2),3624(a,1,2))]. given #4364 (H,wt=13): 4668 K(x,x \ y) * y = x * (y / x). [para(4599(a,2),3803(a,1,1))]. given #4365 (H,wt=13): 4669 K(x,y) * (x * z) = T(x,y) * z. [para(4599(a,2),3804(a,1,1))]. given #4366 (H,wt=13): 4670 x * (T(x,y) \ z) = K(x,y) \ z. [para(4599(a,2),3810(a,1,1)),flip(a)]. given #4367 (H,wt=11): 5008 K(x,y) \ z = K(y,x) * z. [hyper(199,a,4631,a(flip),b,4670,a(flip))]. given #4368 (H,wt=11): 5012 x / (K(y,z) * x) = K(z,y). [hyper(384,a,5008,a)]. given #4369 (H,wt=11): 5014 K(x,y) * (K(y,x) * z) = z. [hyper(254,a,5008,a)]. given #4370 (H,wt=11): 5028 K(x,y) \ z = K(x,y) * z. [para(4738(a,1),5008(a,1,1))]. given #4371 (H,wt=11): 5041 K(x,y) * (K(x,y) * z) = z. [para(4738(a,1),5014(a,1,1))]. given #4372 (H,wt=12): 5031 K(x,y) != z | K(y,x) \ 1 = z. [para(5012(a,1),213(a,1)),flip(b)]. given #4373 (H,wt=13): 4676 x * (y * K(x,y)) = T(x,y) * y. [para(4607(a,1),4167(a,1,2)),flip(a)]. given #4374 (H,wt=13): 4680 K(x,y / x) * (x \ y) = y / x. [para(107(a,1),4618(a,1,2))]. given #4375 (H,wt=13): 4682 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(199,a,3924,a,b,4619,a),flip(a)]. given #4376 (H,wt=13): 4684 T(T(x * K(y,x),z),y) = T(x,z). [para(4625(a,1),38(a,1,1)),flip(a)]. given #4377 (H,wt=13): 4697 T(x \ K(y,x \ 1),y) = x \ 1. [para(3035(a,1),4625(a,1,1))]. given #4378 (H,wt=13): 4698 T(K(x,y \ 1) / y,x) = 1 / y. [para(3393(a,1),4625(a,1,1))]. given #4379 (H,wt=13): 4706 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(199,a,4189,a,b,4652,a(flip)),flip(a)]. given #4380 (H,wt=11): 5052 K(x,T(y,T(x,z))) = K(x,y). [hyper(4708,a,4706,a)]. given #4381 (H,wt=13): 4762 K(x \ K(x,y),x) = K(x \ 1,x). [para(4744(a,2),2253(a,1,1,2))]. given #4382 (H,wt=13): 4763 x / (y / (y / x)) = K(x,x \ y). [para(3905(a,1),4744(a,2,2)),flip(a)]. given #4383 (H,wt=13): 4764 K(x \ y,x) * (y / x) = x \ y. [para(170(a,1),4753(a,1,2))]. given #4384 (H,wt=13): 4769 K(x,y) = x * (((y * x) / y) \ 1). [hyper(199,a,1262,a,b,4594,a)]. given #4385 (H,wt=13): 4770 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(68,a,4594,a,b,1262,a),flip(a)]. given #4386 (H,wt=13): 4783 T(x,x \ K(y,x)) = T(x,x \ 1). [para(4605(a,1),2229(a,1,2))]. given #4387 (H,wt=13): 4794 T(x,y) / (y \ x) = y * K(x,y). [hyper(199,a,954,a,b,4624,a(flip)),flip(a)]. given #4388 (H,wt=13): 4796 x / (x / y) = y * K(x / y,y). [hyper(199,a,358,a(flip),b,4624,a(flip)),flip(a)]. given #4389 (H,wt=13): 4811 K(x,y) = (1 / y) * ((x * y) / x). [para(4624(a,2),3021(a,1,2)),flip(a)]. given #4390 (H,wt=13): 4821 K(1 / x,y) / x = T(1 / x,y). [hyper(273,a,4645,a(flip))]. given #4391 (H,wt=13): 4840 K(x,y) / x = 1 / ((y * x) / y). [hyper(69,a,4761,a,b,1300,a)]. given #4392 (H,wt=13): 4843 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4775(a,1),2224(a,1,2))]. given #4393 (H,wt=13): 4845 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4685(a,1),4775(a,1,1))]. given #4394 (H,wt=13): 4849 x \ (y * (x / y)) = K(y,y \ x). [hyper(199,a,88,a,b,4830,a(flip)),flip(a)]. given #4395 (H,wt=13): 4850 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(199,a,4099,a(flip),b,4830,a(flip))]. given #4396 (H,wt=13): 4851 x * K(y,y \ x) = y * (x / y). [para(4830(a,1),222(a,1,2))]. given #4397 (H,wt=13): 4874 T(1 / x,y) * x = K(x \ 1,y). [hyper(369,a,4600,a)]. given #4398 (H,wt=13): 4875 x * T(x \ 1,y) = K(y,x \ 1). [hyper(199,a,4738,a,b,4600,a)]. given #4399 (H,wt=13): 4892 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(199,a,4605,a(flip),b,4617,a)]. given #4400 (H,wt=13): 4894 T(x,y) * (K(x,y) \ z) = x * z. [hyper(270,a,4626,a),flip(a)]. given #4401 (H,wt=13): 4896 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(68,a,14,a(flip),b,4626,a),flip(a)]. given #4402 (H,wt=13): 4909 x * (K(y,x) * z) = T(x,y) * z. [para(4738(a,1),4626(a,1,2,1))]. given #4403 (H,wt=13): 4934 x * K(x / y,y) = (y \ x) * y. [para(4920(a,2),221(a,1,2))]. given #4404 (H,wt=13): 4947 K(x,y) \ (y * z) = T(y,x) * z. [hyper(4169,a,4628,a)]. given #4405 (H,wt=13): 4952 (x * y) / (T(x,z) * y) = K(z,x). [hyper(69,a,4164,a(flip),b,4628,a(flip))]. given #4406 (H,wt=13): 4953 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(68,a,4628,a(flip),b,4159,a(flip))]. given #4407 (H,wt=13): 4958 T(x,y) * (x \ z) = K(y,x) * z. [para(4738(a,1),4628(a,2,1))]. given #4408 (H,wt=13): 4960 T(x,y) \ (x * z) = K(y,x) * z. [hyper(991,a,4631,a)]. given #4409 (H,wt=13): 4961 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(972,a,4631,a),flip(a)]. given #4410 (H,wt=13): 4963 K(x,y) \ (1 / T(y,x)) = 1 / y. [hyper(68,a,2949,a(flip),b,4631,a(flip))]. given #4411 (H,wt=13): 4967 T(x,y) * (K(y,x) * z) = x * z. [para(4631(a,1),928(a,1,2))]. given #4412 (H,wt=13): 4971 x * (T(x,y) \ z) = K(x,y) * z. [para(4738(a,1),4631(a,2,1))]. given #4413 (H,wt=13): 4976 K(x,y) * (T(x,y) * z) = x * z. [para(4738(a,1),4632(a,1,1))]. given #4414 (H,wt=13): 4986 K(x,(x / y) / x) = K(x,1 / y). [hyper(3681,a,4650,a)]. given #4415 (H,wt=13): 5006 K(x,y) * (y * z) = T(y,x) * z. [para(4738(a,1),4669(a,1,1))]. given #4416 (H,wt=13): 5009 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3276,a,5008,a)]. given #4417 (H,wt=13): 5010 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(3275,a,5008,a),flip(a)]. given #4418 (H,wt=13): 5015 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(68,a,5008,a,b,105,a)]. given #4419 (H,wt=13): 5033 K(x \ y,x) * (x * (y / x)) = y. [hyper(17,a,4668,a,b,5014,a)]. given #4420 (H,wt=13): 5053 T(x,y * K(y,z)) = T(x,T(y,z)). [para(4706(a,1),4078(a,1,2))]. given #4421 (H,wt=13): 5061 1 / (x * K(y,x)) = K(x,y) / x. [para(4624(a,1),4840(a,2,2)),flip(a)]. given #4422 (H,wt=13): 5073 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(79,a,4896,a)]. given #4423 (H,wt=13): 5074 K(x,y) * (x \ z) = T(x,y) \ z. [hyper(17,a,5041,a,b,4896,a),flip(a)]. given #4424 (H,wt=13): 5077 K(x,y) * (T(y,x) \ z) = y \ z. [para(4738(a,1),4896(a,1,1))]. given #4425 (H,wt=13): 5109 K(x,1 / (y \ x)) = K(x,y / x). [para(60(a,1),4986(a,1,2,1)),flip(a)]. given #4426 (H,wt=13): 5117 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4738(a,1),5053(a,1,2,2))]. given #4427 (H,wt=11): 5130 T(x,T(T(y,z),z)) = T(x,y). [para(4663(a,1),5117(a,1,2)),flip(a)]. given #4428 (H,wt=13): 5119 (K(x,y) / x) \ 1 = x * K(y,x). [para(5061(a,1),63(a,1,1))]. given #4429 (H,wt=13): 5129 T(x,(y * z) / y) = T(x,T(z,y)). [para(4624(a,2),5117(a,1,2))]. given #4430 (H,wt=14): 4614 T(x,y) * K(y,x) != x * z | 1 = z. [para(4592(a,2),210(a,1,2))]. given #4431 (H,wt=14): 4686 x * y != z * x | y * K(x,y) = z. [para(4625(a,1),156(a,1,2)),flip(b)]. given #4432 (H,wt=14): 4740 T(x * K(y,x),x * y) = L(x,y,x). [para(4685(a,1),617(a,1,1))]. given #4433 (H,wt=14): 4749 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(4738(a,1),1922(a,1,2))]. given #4434 (H,wt=14): 4773 K(x,y) / y != z | 1 / T(y,x) = z. [para(4597(a,2),262(a,1,1)),flip(b)]. given #4435 (H,wt=14): 4774 K(x \ R(x,y,z),x) = (1 / x) * x. [para(3588(a,1),4597(a,2,1,2))]. given #4436 (H,wt=14): 4776 K(x,y) != y * z | T(y,x) \ 1 = z. [para(4598(a,2),19(a,1))]. given #4437 (H,wt=14): 4779 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(4603(a,2),253(a,1,1)),flip(b)]. given #4438 (H,wt=14): 4781 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4605(a,1),261(a,1,2)),flip(b)]. given #4439 (H,wt=14): 4784 x * (y * z) != z * y | K(z,y) = x. [para(4622(a,1),20(a,1)),flip(a)]. given #4440 (H,wt=14): 4785 (x * y) / (y * x) != z | K(x,y) = z. [para(4622(a,1),262(a,1,1)),flip(b)]. given #4441 (H,wt=14): 4802 T(x * K(y * x,x),y) = R(x,y,x). [para(4624(a,1),672(a,2,1)),flip(a)]. given #4442 (H,wt=14): 4825 (x * y) / x != z | y * K(x,y) = z. [para(4662(a,1),262(a,1,1)),flip(b)]. given #4443 (H,wt=14): 4834 x * K(y,z) != u * K(z,y) | x = u. [para(4745(a,1),20(a,1))]. given #4444 (H,wt=14): 4846 T(x,y) \ 1 != z | x \ K(y,x) = z. [para(4780(a,2),253(a,1,1)),flip(b)]. given #4445 (H,wt=14): 4866 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(847(a,2),4709(a,1))]. given #4446 (H,wt=14): 4900 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(17,a,4114,a(flip),b,4626,a)]. given #4447 (H,wt=14): 4901 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4112,a(flip),b,4626,a)]. given #4448 (H,wt=14): 4902 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(17,a,4025,a(flip),b,4626,a)]. given #4449 (H,wt=14): 4915 x * (K(y,z) * K(z,y)) != u | u = x. [para(4897(a,2),75(a,1,2))]. given #4450 (H,wt=14): 4941 K(x / y,y) != z | K(y \ x,y) = z. [para(3999(a,1),4916(a,1))]. given #4451 (H,wt=14): 4942 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),4925(a,1,2))]. given #4452 (H,wt=14): 4946 K(x,y) != z | K(x,y * K(x,y)) = z. [para(4625(a,1),4925(a,1,2))]. given #4453 (H,wt=14): 4987 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4650(a,1),4709(a,1))]. given #4454 (H,wt=14): 4992 K(x / y,x) != z | K(y \ x,x) = z. [para(4989(a,2),4862(a,1))]. given #4455 (H,wt=14): 5018 x * (K(y,z) * u) != u | K(z,y) = x. [para(5008(a,1),78(a,1,2)),flip(b)]. given #4456 (H,wt=14): 5019 K(x,y) * (K(y,x) * z) != u | u = z. [para(5008(a,1),211(a,1,2))]. given #4457 (H,wt=14): 5020 x / (K(y,z) * x) != u | K(z,y) = u. [para(5008(a,1),261(a,1,2)),flip(b)]. given #4458 (H,wt=14): 5030 K(x,y) \ z != u | K(y,x) * z = u. [para(5012(a,1),253(a,1,1)),flip(b)]. given #4459 (H,wt=12): 5146 T(x,y) != z | K(x,y) * x = z. [para(4619(a,2),5030(a,1))]. given #4460 (H,wt=14): 5037 K(x,y) * z != u | K(y,x) * u = z. [para(5014(a,1),19(a,1)),flip(a)]. given #4461 (H,wt=14): 5042 K(x,y) * (K(x,y) * z) != u | u = z. [para(5028(a,1),211(a,1,2))]. given #4462 (H,wt=14): 5045 K(x,y) * z != u | K(x,y) * u = z. [para(5041(a,1),19(a,1)),flip(a)]. given #4463 (H,wt=14): 5046 K(x,y) \ z != u | K(x,y) * z = u. [para(5041(a,1),254(a,1,2)),flip(b)]. given #4464 (H,wt=12): 5148 1 != x | K(y,z) * K(y,z) = x. [para(52(a,1),5046(a,1))]. given #4465 (H,wt=14): 5054 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(4706(a,2),4655(a,1))]. given #4466 (H,wt=14): 5136 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2973,a,4901,a)]. given #4467 (H,wt=14): 5137 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(68,a,4901,a(flip),b,2970,a),flip(a)]. given #4468 (H,wt=14): 5138 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(2973,a,4902,a)]. given #4469 (H,wt=14): 5142 K(x,y) * z != u | K(y,x) \ z = u. [para(14(a,1),5019(a,1,2)),flip(b)]. given #4470 (H,wt=14): 5147 K(x,y) * z != u | K(x,y) \ z = u. [para(14(a,1),5042(a,1,2)),flip(b)]. given #4471 (H,wt=14): 5149 T(x,y) != z | T(x,T(y,T(x,u))) = z. [para(47(a,1),5054(a,1,2))]. given #4472 (H,wt=15): 4595 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(199,a,3062,a,b,4592,a),flip(a)]. given #4473 (H,wt=15): 4604 K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1. [hyper(69,a,4592,a,b,2277,a)]. given #4474 (H,wt=15): 4616 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1606(a,1),4592(a,2,1))]. given #4475 (H,wt=13): 5162 K((1 / x) \ y,y) = K(y * x,y). [hyper(199,a,4592,a,b,4616,a)]. given #4476 (H,wt=13): 5163 K(x * (y \ 1),x) = K(y \ x,x). [para(60(a,1),5162(a,1,1,1)),flip(a)]. given #4477 (H,wt=15): 4629 K(x / y,z) * x = y * T(y \ x,z). [para(4592(a,2),3927(a,1,1))]. given #4478 (H,wt=15): 4634 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(4596(a,2),2296(a,1,2))]. given #4479 (H,wt=15): 4635 K(K(x,1 / x) * y,z) = z / T(z,y). [para(4279(a,1),4596(a,2,2))]. given #4480 (H,wt=13): 5170 K(K(x,1 / x) * y,z) = K(y,z). [hyper(199,a,4596,a,b,4635,a)]. given #4481 (H,wt=13): 5171 K(K(x \ 1,x) * y,z) = K(y,z). [para(60(a,1),5170(a,1,1,1,2))]. given #4482 (H,wt=13): 5172 K(K(x,x \ 1) * y,z) = K(y,z). [para(2000(a,1),5170(a,1,1,1))]. given #4483 (H,wt=13): 5173 K(x * K(y \ 1,y),z) = K(x,z). [para(2246(a,1),5171(a,1,1))]. given #4484 (H,wt=14): 5181 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(5171(a,1),3218(a,1))]. given #4485 (H,wt=14): 5188 K(x,y \ 1) != z | K(x,1 / y) = z. [para(63(a,1),5181(a,1,2,1))]. given #4486 (H,wt=15): 4641 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(199,a,3630,a,b,4599,a),flip(a)]. given #4487 (H,wt=15): 4659 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1605(a,1),4599(a,2,2))]. given #4488 (H,wt=13): 5203 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(199,a,4599,a,b,4659,a)]. given #4489 (H,wt=15): 4671 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4253(a,1),4599(a,2,2))]. given #4490 (H,wt=13): 5205 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(199,a,4599,a,b,4671,a)]. given #4491 (H,wt=13): 5206 K(x,y * K(z,1 / z)) = K(x,y). [para(2000(a,2),5205(a,1,2,2))]. given #4492 (H,wt=13): 5209 K(x,K(y \ 1,y) * z) = K(x,z). [para(2753(a,1),5205(a,1,2)),flip(a)]. given #4493 (H,wt=13): 5220 K(x,K(y,1 / y) * z) = K(x,z). [para(2243(a,2),5206(a,1,2))]. given #4494 (H,wt=15): 4688 T(x * K(y,x),z) * y = y * T(x,z). [para(4625(a,1),163(a,1,2,1)),flip(a)]. given #4495 (H,wt=14): 5226 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,3946,a,b,4688,a)]. given #4496 (H,wt=14): 5229 T(x * K(y,x),y * x) = L(x,y,x). [hyper(18,a,4036,a(flip),b,4688,a)]. given #4497 (H,wt=15): 4689 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4625(a,1),187(a,1,1,2,1)),flip(a)]. given #4498 (H,wt=15): 4705 T(x,(y / z) \ 1) = x * K(x,z / y). [hyper(4096,a,4652,a)]. given #4499 (H,wt=13): 5235 K(x,(y / z) \ 1) = K(x,z / y). [hyper(4708,a,4705,a)]. given #4500 (H,wt=13): 5238 K(x,1 / (y / z)) = K(x,z / y). [hyper(5188,a,5235,a)]. given #4501 (H,wt=13): 5239 K(x,y / (z * y)) = K(x,z \ 1). [para(15(a,1),5235(a,1,2,1)),flip(a)]. given #4502 (H,wt=13): 5240 K(x,(y \ z) / z) = K(x,y \ 1). [para(60(a,1),5235(a,1,2,1)),flip(a)]. given #4503 (H,wt=13): 5242 K(x,y / (z * y)) = K(x,1 / z). [para(15(a,1),5238(a,1,2,2)),flip(a)]. given #4504 (H,wt=15): 4718 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(4652(a,2),1558(a,1,1)),flip(a)]. given #4505 (H,wt=15): 4719 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3082(a,1),4652(a,2,2)),flip(a)]. given #4506 (H,wt=15): 4721 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(342,a,4660,a),flip(a)]. given #4507 (H,wt=15): 4742 (x * K(x * y,x)) * y = T(x * y,x). [para(4685(a,1),927(a,1,1))]. given #4508 (H,wt=15): 4743 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [para(4685(a,2),4283(a,2,2))]. given #4509 (H,wt=15): 4791 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(199,a,3394,a(flip),b,4624,a),flip(a)]. given #4510 (H,wt=15): 4795 x \ T(x * y,y) = y * K(x * y,y). [hyper(199,a,1164,a(flip),b,4624,a(flip)),flip(a)]. given #4511 (H,wt=15): 4816 (x \ T(x * y,y)) / y = K(x * y,y). [para(1164(a,1),4640(a,2,1)),flip(a)]. given #4512 (H,wt=15): 4823 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4041(a,2),4645(a,2,1)),flip(a)]. given #4513 (H,wt=11): 5255 K(x,y * x) = K(x,x * y). [hyper(4866,a,4823,a)]. given #4514 (H,wt=11): 5257 K(x,x * (y / x)) = K(x,y). [para(16(a,1),5255(a,1,2)),flip(a)]. given #4515 (H,wt=14): 5256 K(x,x * y) != z | K(x,y * x) = z. [para(4823(a,1),4866(a,1))]. given #4516 (H,wt=15): 4829 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),4827(a,1,2))]. given #4517 (H,wt=15): 4836 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(4747(a,1),105(a,1,2))]. given #4518 (H,wt=15): 4838 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(4748(a,1),105(a,1,2))]. given #4519 (H,wt=15): 4842 ((x \ y) \ y) \ 1 = x \ K(x,x \ y). [hyper(199,a,556,a(flip),b,4775,a(flip)),flip(a)]. given #4520 (H,wt=15): 4898 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,3983,a,b,4626,a),flip(a)]. given #4521 (H,wt=15): 4899 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,935,a,b,4626,a)]. given #4522 (H,wt=15): 4903 (T(x,y) * z) / x = T(K(x,y) * z,x). [hyper(69,a,4626,a(flip),b,166,a)]. given #4523 (H,wt=15): 4921 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(106(a,1),4910(a,1,1))]. given #4524 (H,wt=15): 4924 K(x / (x / y),y \ x) = K(y,y \ x). [para(3903(a,1),4910(a,1,1)),flip(a)]. given #4525 (H,wt=15): 4951 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(199,a,4079,a,b,4628,a(flip)),flip(a)]. given #4526 (H,wt=15): 4957 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4599(a,2),4628(a,1,2)),flip(a)]. given #4527 (H,wt=15): 4959 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(4175,a,4631,a)]. given #4528 (H,wt=15): 4996 K(x,(x \ 1) * y) * y = x * (y / x). [para(4109(a,2),4668(a,1,1))]. given #4529 (H,wt=15): 5013 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(255,a,5008,a),flip(a)]. given #4530 (H,wt=15): 5032 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(2970(a,2),5012(a,1,2))]. given #4531 (H,wt=15): 5034 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(17,a,1914,a,b,5014,a)]. given #4532 (H,wt=15): 5036 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,1914,a(flip),b,5014,a)]. given #4533 (H,wt=15): 5044 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(154,a,4745,a,b,5041,a),flip(a)]. given #4534 (H,wt=11): 5271 T(x,K(y,z)) = T(x,K(z,y)). [hyper(199,a,5013,a(flip),b,5044,a(flip))]. given #4535 (H,wt=11): 5276 T(T(x,K(y,z)),K(z,y)) = x. [hyper(338,a,5271,a)]. given #4536 (H,wt=13): 5272 K(x,K(y,z)) * x = T(x,K(z,y)). [hyper(5146,a,5271,a)]. given #4537 (H,wt=11): 5285 K(K(x,y),z) = K(z,K(y,x)). [hyper(18,a,4736,a(flip),b,5272,a),flip(a)]. given #4538 (H,wt=11): 5286 K(x,K(y,z)) = K(x,K(z,y)). [hyper(18,a,4660,a(flip),b,5272,a)]. given #4539 (H,wt=13): 5273 x * K(x,K(y,z)) = T(x,K(z,y)). [hyper(4735,a,5271,a)]. given #4540 (H,wt=13): 5274 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(4687,a,5271,a)]. given #4541 (H,wt=14): 5278 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(5271(a,1),338(a,1,1))]. given #4542 (H,wt=14): 5284 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(5276(a,1),338(a,1,1)),flip(b)]. given #4543 (H,wt=14): 5289 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(5285(a,1),4862(a,1))]. given #4544 (H,wt=14): 5292 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(5286(a,1),4862(a,1))]. given #4545 (H,wt=15): 5051 T(x,x \ y) / (y \ x) = x * (y / x). [para(4682(a,1),3682(a,1,1))]. given #4546 (H,wt=15): 5059 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(4783(a,1),181(a,1,2))]. given #4547 (H,wt=15): 5062 (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). [para(4843(a,1),152(a,1,2))]. given #4548 (H,wt=15): 5079 ((x * y) / x) * z = y * (K(x,y) * z). [para(185(a,1),4909(a,2,1)),flip(a)]. given #4549 (H,wt=13): 5298 K(x,y) * (x / y) = x / T(y,x). [hyper(4467,a,5079,a),flip(a)]. given #4550 (H,wt=15): 5081 T(x,y) * (y * z) = x * (T(y,x) * z). [para(4669(a,1),4909(a,1,2)),flip(a)]. given #4551 (H,wt=15): 5086 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(199,a,4909,a,b,4958,a(flip)),flip(a)]. given #4552 (H,wt=15): 5094 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4652(a,2),4960(a,1,2))]. given #4553 (H,wt=15): 5095 K(x,y) * (y * z) = y * (K(x,y) * z). [para(4960(a,1),4631(a,1,2)),flip(a)]. given #4554 (H,wt=15): 5097 T(x,y) * (1 / y) = x * (1 / T(y,x)). [para(4963(a,1),4894(a,1,2))]. given #4555 (H,wt=15): 5098 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(994,a,4967,a)]. given #4556 (H,wt=15): 5104 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(4685(a,1),4971(a,1,2,1))]. given #4557 (H,wt=15): 5113 K(x,y) * (y * z) = ((x * y) / x) * z. [para(185(a,1),5006(a,2,1))]. given #4558 (H,wt=15): 5125 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4685(a,1),5074(a,2,1)),flip(a)]. given #4559 (H,wt=15): 5159 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(199,a,2497,a(flip),b,4595,a(flip)),flip(a)]. given #4560 (H,wt=15): 5168 x / (y * T(y \ x,z)) = K(z,x / y). [para(4629(a,1),5012(a,1,2))]. given #4561 (H,wt=15): 5169 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(4634(a,1),60(a,1,2))]. given #4562 (H,wt=15): 5174 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2689(a,1),5171(a,1,1)),flip(a)]. given #4563 (H,wt=13): 5322 K(x * (1 / y),x) = K(y \ x,x). [hyper(199,a,5163,a(flip),b,5174,a)]. given #4564 (H,wt=13): 5323 K((x \ 1) \ y,y) = K(y * x,y). [para(60(a,1),5322(a,1,1,2)),flip(a)]. given #4565 (H,wt=15): 5175 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2702(a,1),5171(a,1,1))]. given #4566 (H,wt=15): 5176 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2763(a,1),5171(a,1,1))]. given #4567 (H,wt=15): 5177 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2806(a,1),5171(a,1,1))]. given #4568 (H,wt=15): 5178 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2808(a,1),5171(a,1,1)),flip(a)]. given #4569 (H,wt=15): 5179 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2869(a,1),5171(a,1,1))]. given #4570 (H,wt=15): 5180 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(2885(a,2),5171(a,1,1))]. given #4571 (H,wt=15): 5184 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2647(a,1),5172(a,1,1))]. given #4572 (H,wt=15): 5187 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4326(a,1),5173(a,1,1)),flip(a)]. given #4573 (H,wt=15): 5207 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2644(a,1),5205(a,1,2))]. given #4574 (H,wt=13): 5330 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(199,a,5203,a(flip),b,5207,a(flip)),flip(a)]. given #4575 (H,wt=15): 5208 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2645(a,1),5205(a,1,2))]. given #4576 (H,wt=15): 5210 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2754(a,1),5205(a,1,2))]. given #4577 (H,wt=15): 5212 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(2792(a,1),5205(a,1,2))]. given #4578 (H,wt=15): 5213 K(x,((y \ 1) \ 1) * z) = K(x,y * z). [para(2826(a,1),5205(a,1,2))]. given #4579 (H,wt=15): 5214 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2834(a,1),5205(a,1,2)),flip(a)]. given #4580 (H,wt=15): 5215 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(2839(a,1),5205(a,1,2))]. given #4581 (H,wt=15): 5216 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2855(a,1),5205(a,1,2))]. given #4582 (H,wt=15): 5217 K(x,(1 / y) / z) = K(x,(y \ 1) / z). [para(3521(a,1),5205(a,1,2))]. given #4583 (H,wt=15): 5223 K(x,T(y,y \ 1) \ z) = K(x,y \ z). [para(4961(a,1),5209(a,1,2))]. given #4584 (H,wt=15): 5224 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3502(a,1),5220(a,1,2))]. given #4585 (H,wt=15): 5252 x \ T(x * y,y) = y * K(y * x,y). [hyper(18,a,4398,a,b,4742,a),flip(a)]. given #4586 (H,wt=11): 5337 K(x * y,y) = K(y * x,y). [hyper(17,a,4795,a(flip),b,5252,a(flip)),flip(a)]. given #4587 (H,wt=13): 5339 K((x \ 1) \ y,y) = K(x * y,y). [hyper(199,a,5323,a,b,5337,a),flip(a)]. given #4588 (H,wt=13): 5340 K((1 / x) * y,y) = K(x \ y,y). [hyper(199,a,5322,a(flip),b,5337,a)]. given #4589 (H,wt=15): 5260 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(5142,a,4836,a)]. given #4590 (H,wt=15): 5265 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(199,a,3096,a(flip),b,4957,a)]. given #4591 (H,wt=15): 5270 K(x,y) * T(z,K(y,x)) = z * K(x,y). [hyper(5037,a,5044,a)]. given #4592 (H,wt=15): 5275 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(340,a,5271,a),flip(a)]. given #4593 (H,wt=15): 5277 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5271(a,1),166(a,1,1))]. given #4594 (H,wt=15): 5287 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5285(a,1),4652(a,2,2)),flip(a)]. given #4595 (H,wt=15): 5288 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5285(a,1),4660(a,2,1)),flip(a)]. given #4596 (H,wt=15): 5295 T(x,y / x) / (y \ x) = x * (y / x). [para(3940(a,2),5051(a,1,1))]. given #4597 (H,wt=15): 5297 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(566,a,5062,a)]. given #4598 (H,wt=15): 5306 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(199,a,1914,a,b,5094,a)]. given #4599 (H,wt=15): 5315 (x * K(y,x)) \ y = x \ (y * K(x,y)). [hyper(68,a,2964,a(flip),b,5104,a),flip(a)]. given #4600 (H,wt=15): 5316 x / (K(y,z) * (y \ x)) = y * K(z,y). [para(5125(a,1),60(a,1,2))]. given #4601 (H,wt=15): 5317 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5159(a,1),14(a,1,2)),flip(a)]. given #4602 (H,wt=15): 5321 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4603(a,2),5169(a,1,2))]. given #4603 (H,wt=15): 5333 K(x,(1 / x) * y) * y = x * (y / x). [para(5215(a,2),4996(a,1,1))]. given #4604 (H,wt=15): 5344 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(5037,a,5287,a)]. given #4605 (H,wt=13): 5348 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(17,a,4598,a(flip),b,5344,a),flip(a)]. given #4606 (H,wt=16): 4585 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4577(a,1),3914(a,1,1))]. given #4607 (H,wt=16): 4630 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4592(a,2),3892(a,1))]. given #4608 (H,wt=16): 4633 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(4592(a,2),4157(a,1,1))]. given #4609 (H,wt=16): 4656 x * K(x,y) != z * u | z \ T(x,y) = u. [para(4599(a,2),328(a,1,2))]. given #4610 (H,wt=16): 4674 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(4607(a,1),269(a,1,2))]. given #4611 (H,wt=16): 4675 T(x,y) \ x != z * u | K(y,x) / u = z. [para(4607(a,1),384(a,1,2))]. given #4612 (H,wt=16): 4712 x \ T(x,y) != z * u | z \ K(x,y) = u. [para(4652(a,2),269(a,1,2))]. given #4613 (H,wt=16): 4856 (1 / x) * T(x,y) != z | x \ T(x,y) = z. [para(4643(a,1),4627(a,1))]. given #4614 (H,wt=16): 4861 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3887(a,1),4673(a,1))]. given #4615 (H,wt=16): 4880 K(x \ 1,y) != x * z | T(x \ 1,y) = z. [para(4600(a,1),19(a,1))]. given #4616 (H,wt=16): 4905 T(x,y) * z != x * u | K(x,y) * z = u. [para(4626(a,1),19(a,1))]. given #4617 (H,wt=16): 4922 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(686(a,1),4910(a,1,1)),flip(a)]. given #4618 (H,wt=16): 4968 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4631(a,1),972(a,1))]. given #4619 (H,wt=16): 4969 K(x,y) * z != u | T(y,x) \ (y * z) = u. [para(4631(a,1),991(a,1))]. given #4620 (H,wt=16): 4973 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(4632(a,1),254(a,1,2)),flip(b)]. given #4621 (H,wt=16): 4974 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4632(a,1),270(a,1))]. given #4622 (H,wt=16): 4977 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4636(a,1),207(a,1,1)),flip(b)]. given #4623 (H,wt=16): 4985 K(1 / x,y) / x != z | T(1 / x,y) = z. [para(4647(a,1),576(a,1,1))]. given #4624 (H,wt=16): 4994 K(x,x \ y) * z != x * (y / x) | z = y. [para(4668(a,1),19(a,2))]. given #4625 (H,wt=16): 5001 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4669(a,1),270(a,1))]. given #4626 (H,wt=16): 5047 K(1 / x,x) != y | K(x,x \ 1) \ 1 = y. [para(2052(a,2),5031(a,1))]. given #4627 (H,wt=16): 5066 x * (y / x) != y * z | K(x,x \ y) = z. [para(4851(a,1),19(a,1))]. given #4628 (H,wt=16): 5069 K(x \ 1,y) != z * x | T(1 / x,y) = z. [para(4874(a,1),20(a,1))]. given #4629 (H,wt=16): 5075 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4896(a,1),19(a,1))]. given #4630 (H,wt=16): 5082 (x \ y) * x != y * z | K(y / x,x) = z. [para(4934(a,1),19(a,1))]. given #4631 (H,wt=16): 5091 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(4960(a,1),211(a,1,2)),flip(b)]. given #4632 (H,wt=16): 5100 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(4967(a,1),254(a,1,2)),flip(b)]. given #4633 (H,wt=16): 5103 K(x,y) * (x \ z) != u | T(x,y) \ z = u. [para(4971(a,1),972(a,1))]. given #4634 (H,wt=16): 5114 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5010(a,1),262(a,1,1)),flip(b)]. given #4635 (H,wt=16): 5156 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(68,a,5138,a(flip),b,4626,a),flip(a)]. given #4636 (H,wt=16): 5158 (K(x,y) \ 1) * z != u | K(x,y) \ z = u. [para(4912(a,2),5142(a,1,1))]. given #4637 (H,wt=16): 5204 K(x,x * (y \ 1)) != z | K(x,y \ x) = z. [para(4659(a,2),4709(a,1))]. given #4638 (H,wt=16): 5237 T(x,(y / z) \ 1) != u | T(x,z / y) = u. [para(4705(a,2),4655(a,1))]. given #4639 (H,wt=16): 5244 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(5238(a,1),4987(a,1))]. given #4640 (H,wt=16): 5250 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(5242(a,2),2036(a,1))]. given #4641 (H,wt=16): 5251 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5242(a,2),4987(a,1))]. given #4642 (H,wt=16): 5290 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(5285(a,1),4797(a,1,2))]. given #4643 (H,wt=16): 5356 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(14(a,1),4977(a,1,2))]. given #4644 (H,wt=16): 5366 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5014(a,1),5091(a,1,2))]. given #4645 (H,wt=16): 5367 T(x,y) * z != u | x * (K(y,x) * z) = u. [para(5041(a,1),5091(a,1,2))]. given #4646 (H,wt=16): 5369 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(1915,a,5156,a)]. given #4647 (H,wt=16): 5371 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5337(a,2),5156(a,1,2))]. given #4648 (H,wt=16): 5375 K(x,(y \ z) / z) != u | K(x,y \ 1) = u. [para(14(a,1),5251(a,1,2,2))]. given #4649 (H,wt=16): 5385 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5337(a,2),5369(a,1,1))]. given #4650 (H,wt=17): 4586 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4072(a,1),4577(a,2,2))]. given #4651 (H,wt=17): 4591 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(13(a,1),4579(a,1,1,1)),flip(a)]. given #4652 (H,wt=13): 5387 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(199,a,574,a(flip),b,4591,a(flip)),flip(a)]. given #4653 (H,wt=17): 4646 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(199,a,3706,a(flip),b,4599,a),flip(a)]. given #4654 (H,wt=15): 5389 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4599(a,2),4646(a,1,1)),flip(a)]. given #4655 (H,wt=15): 5392 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(63(a,1),5389(a,2,1,2))]. given #4656 (H,wt=12): 5396 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5392(a,1),3123(a,1,2,1))]. given #4657 (H,wt=15): 5394 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(5188,a,5392,a)]. given #4658 (H,wt=15): 5395 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2212(a,1),5392(a,1,2))]. given #4659 (H,wt=15): 5397 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5317(a,1),5392(a,1,2))]. given #4660 (H,wt=15): 5398 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(5395(a,2),47(a,1,1))]. given #4661 (H,wt=15): 5400 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [para(4738(a,1),5397(a,1,2,2))]. given #4662 (H,wt=15): 5401 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(199,a,5395,a,b,5398,a(flip)),flip(a)]. given #4663 (H,wt=15): 5403 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(3082(a,2),5400(a,1,2,2))]. given #4664 (H,wt=17): 4679 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3386(a,1),4610(a,2,2)),flip(a)]. given #4665 (H,wt=17): 4690 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4625(a,1),165(a,1,2,1)),flip(a)]. given #4666 (H,wt=17): 4691 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4625(a,1),373(a,1,1,2)),flip(a)]. given #4667 (H,wt=17): 4694 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4625(a,1),2215(a,1,2,2)),flip(a)]. given #4668 (H,wt=15): 5406 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5061(a,1),4694(a,1,1,2))]. given #4669 (H,wt=17): 4700 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4625(a,1),3939(a,1,2,1)),flip(a)]. given #4670 (H,wt=17): 4790 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3722,a,4624,a)]. given #4671 (H,wt=17): 4792 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(199,a,3391,a(flip),b,4624,a),flip(a)]. given #4672 (H,wt=17): 4804 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4624(a,1),730(a,1,1))]. given #4673 (H,wt=17): 4805 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4624(a,1),737(a,1,1))]. given #4674 (H,wt=17): 4813 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4624(a,1),4443(a,1,1,2))]. given #4675 (H,wt=17): 4865 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(606(a,2),4709(a,1,2))]. given #4676 (H,wt=17): 4872 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(1825,a,4600,a)]. given #4677 (H,wt=15): 5417 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4600(a,1),4872(a,1,1)),flip(a)]. given #4678 (H,wt=15): 5418 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(63(a,1),5417(a,2,1,1))]. given #4679 (H,wt=15): 5419 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3085(a,1),5417(a,2,1))]. given #4680 (H,wt=15): 5420 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2212(a,1),5418(a,1,1))]. given #4681 (H,wt=15): 5421 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(5420(a,2),47(a,1,1))]. given #4682 (H,wt=15): 5422 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(199,a,5420,a,b,5421,a(flip)),flip(a)]. given #4683 (H,wt=17): 4876 K((x * y) \ x,x * y) = K(y \ 1,x * y). [hyper(199,a,999,a,b,4600,a(flip)),flip(a)]. given #4684 (H,wt=17): 4878 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(199,a,1218,a(flip),b,4600,a(flip)),flip(a)]. given #4685 (H,wt=17): 4884 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4600(a,1),1210(a,1,2)),flip(a)]. given #4686 (H,wt=15): 5433 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(154,a,4629,a,b,4884,a(flip))]. given #4687 (H,wt=15): 5436 K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). [para(60(a,1),5433(a,1,1,1)),flip(a)]. given #4688 (H,wt=17): 4885 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4600(a,1),1238(a,1,1))]. given #4689 (H,wt=13): 5442 K((x / y) \ 1,z) = K(y / x,z). [hyper(18,a,4629,a,b,4885,a)]. given #4690 (H,wt=13): 5444 K(1 / (x / y),z) = K(y / x,z). [hyper(3110,a,5442,a)]. given #4691 (H,wt=13): 5447 K((x / y) \ 1,x) = K(x \ y,x). [hyper(199,a,4920,a(flip),b,5442,a)]. given #4692 (H,wt=13): 5448 K(x / (y * x),z) = K(y \ 1,z). [para(15(a,1),5442(a,1,1,1)),flip(a)]. given #4693 (H,wt=13): 5449 K((x / (y * x)) \ 1,z) = K(y,z). [para(15(a,1),5442(a,2,1))]. given #4694 (H,wt=13): 5450 K((x \ y) / y,z) = K(x \ 1,z). [para(60(a,1),5442(a,1,1,1)),flip(a)]. given #4695 (H,wt=15): 5454 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(199,a,4102,a(flip),b,5447,a)]. given #4696 (H,wt=16): 5451 K((x / y) \ 1,x) != z | K(x \ y,x) = z. [para(5442(a,2),4941(a,1))]. given #4697 (H,wt=16): 5453 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5444(a,1),3118(a,1))]. given #4698 (H,wt=16): 5455 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5448(a,2),3110(a,1))]. given #4699 (H,wt=17): 4891 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4600(a,1),3060(a,2,2))]. given #4700 (H,wt=17): 4895 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(68,a,105,a(flip),b,4626,a),flip(a)]. given #4701 (H,wt=17): 4907 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(105(a,1),4626(a,1,2)),flip(a)]. given #4702 (H,wt=17): 4908 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(1914(a,1),4626(a,1,2))]. given #4703 (H,wt=16): 5460 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(68,a,5136,a(flip),b,4908,a),flip(a)]. given #4704 (H,wt=16): 5461 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(5255(a,2),5460(a,1,2))]. given #4705 (H,wt=17): 4948 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(816,a,4628,a)]. given #4706 (H,wt=17): 4949 ((x \ y) \ y) * (x \ z) = K(x,x \ y) * z. [hyper(590,a,4628,a)]. given #4707 (H,wt=17): 4964 (x \ y) * ((y / x) \ z) = K(x,x \ y) * z. [para(170(a,1),4631(a,1,2,1))]. given #4708 (H,wt=17): 4970 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4599(a,2),4631(a,1,2)),flip(a)]. given #4709 (H,wt=17): 4972 K(x,x \ y) * ((y / x) * z) = (x \ y) * z. [para(170(a,1),4632(a,1,2,1))]. given #4710 (H,wt=17): 4981 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1129(a,1),4639(a,2,1)),flip(a)]. given #4711 (H,wt=17): 4984 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(199,a,1239,a(flip),b,4647,a(flip)),flip(a)]. given #4712 (H,wt=17): 4998 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(68,a,105,a(flip),b,4669,a)]. given #4713 (H,wt=17): 5035 K(x,y) * (R(x,z,u) * K(y,x)) = R(x,z,u). [hyper(17,a,2972,a(flip),b,5014,a)]. given #4714 (H,wt=17): 5055 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(4762(a,1),221(a,1,2))]. given #4715 (H,wt=17): 5068 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(69,a,587,a(flip),b,4874,a),flip(a)]. given #4716 (H,wt=17): 5078 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(170(a,1),4909(a,2,1))]. given #4717 (H,wt=17): 5080 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(3905(a,1),4909(a,2,1)),flip(a)]. given #4718 (H,wt=17): 5093 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4607(a,1),4960(a,1,2)),flip(a)]. given #4719 (H,wt=17): 5096 ((x \ y) \ y) \ z = K(x \ y,x) * (x \ z). [hyper(199,a,556,a(flip),b,4961,a),flip(a)]. given #4720 (H,wt=17): 5106 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(170(a,1),4976(a,1,2,1))]. given #4721 (H,wt=17): 5108 K(x * y,x / (x * y)) = K(x * y,1 / y). [para(15(a,1),4986(a,1,2,1))]. given #4722 (H,wt=17): 5110 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(4986(a,1),222(a,1,2))]. given #4723 (H,wt=17): 5111 (x * T(y,z)) / (T(y,x) * x) = K(z,T(y,x)). [hyper(69,a,189,a(flip),b,5006,a)]. given #4724 (H,wt=15): 5479 (x * T(y,z)) / (x * y) = K(z,T(y,x)). [para(166(a,1),5111(a,1,2))]. given #4725 (H,wt=15): 5480 K(x,T(y,z)) * (z * y) = z * T(y,x). [para(5479(a,1),16(a,1,1))]. given #4726 (H,wt=17): 5112 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(170(a,1),5006(a,2,1))]. given #4727 (H,wt=17): 5122 ((x \ y) \ y) \ z = K(x,x \ y) * (x \ z). [hyper(199,a,556,a(flip),b,5074,a),flip(a)]. given #4728 (H,wt=17): 5123 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(170(a,1),5074(a,2,1))]. given #4729 (H,wt=17): 5126 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [para(170(a,1),5077(a,1,2,1))]. given #4730 (H,wt=17): 5128 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2315(a,1),5117(a,1,2))]. given #4731 (H,wt=17): 5131 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(167(a,1),5130(a,1,2,1))]. given #4732 (H,wt=17): 5154 T(x,x * y) * K(y,x) != z | L(x,y,x) = z. [para(5137(a,2),211(a,1,2)),flip(b)]. given #4733 (H,wt=17): 5161 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4604(a,1),2732(a,1,1)),flip(a)]. given #4734 (H,wt=17): 5182 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4361(a,2),5171(a,1,1))]. given #4735 (H,wt=17): 5186 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4343(a,2),5172(a,1,1))]. given #4736 (H,wt=17): 5218 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4257(a,2),5205(a,1,2))]. given #4737 (H,wt=17): 5219 K(x,T(K(y,y \ 1) * z,u)) = K(x,T(z,u)). [para(4430(a,2),5205(a,1,2))]. given #4738 (H,wt=17): 5221 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4249(a,1),5206(a,1,2))]. given #4739 (H,wt=17): 5222 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4361(a,2),5209(a,1,2))]. given #4740 (H,wt=17): 5225 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,4662,a,b,4688,a),flip(a)]. given #4741 (H,wt=17): 5232 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(68,a,4689,a,b,4624,a(flip))]. given #4742 (H,wt=17): 5233 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4689(a,2),4594(a,2,1)),flip(a)]. given #4743 (H,wt=17): 5261 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(199,a,4631,a,b,4836,a),flip(a)]. given #4744 (H,wt=17): 5262 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(199,a,4628,a,b,4838,a),flip(a)]. given #4745 (H,wt=17): 5263 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(16(a,1),4898(a,1,1,1))]. given #4746 (H,wt=17): 5268 ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). [para(4599(a,2),4959(a,1,2))]. given #4747 (H,wt=17): 5294 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(15(a,1),5051(a,2,2))]. given #4748 (H,wt=15): 5513 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(32(a,2),5294(a,1,1,2))]. given #4749 (H,wt=13): 5514 T(x,y) / ((y * x) \ x) = x * y. [para(3926(a,1),5513(a,1,1))]. given #4750 (H,wt=13): 5515 T(x,y) = (x * y) * ((y * x) \ x). [para(5514(a,1),16(a,1,1)),flip(a)]. given #4751 (H,wt=13): 5516 (x * y) \ T(x,y) = (y * x) \ x. [para(5514(a,1),63(a,1,1))]. given #4752 (H,wt=14): 5519 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(199,a,4176,a,b,5516,a(flip)),flip(a)]. given #4753 (H,wt=15): 5518 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(68,a,5515,a,b,82,a(flip)),flip(a)]. given #4754 (H,wt=15): 5522 (x * (y / x)) \ x = y \ T(x,x \ y). [para(193(a,1),5518(a,1,1))]. given #4755 (H,wt=15): 5524 (x * (y / x)) \ x = y \ (y / (y / x)). [para(3905(a,1),5522(a,2,2))]. given #4756 (H,wt=15): 5525 x * ((y * (x / y)) \ y) = x / (x / y). [para(5524(a,2),14(a,1,2))]. given #4757 (H,wt=17): 5296 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(5059(a,1),2657(a,1,1))]. given #4758 (H,wt=17): 5312 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(799(a,1),5098(a,1,2))]. given #4759 (H,wt=17): 5318 x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). [hyper(199,a,5235,a,b,5168,a)]. given #4760 (H,wt=17): 5338 T(x * K(x * y,x),y) != z | R(x,y,x) = z. [para(5252(a,1),4424(a,1,1))]. given #4761 (H,wt=17): 5407 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5406(a,1),105(a,1,2)),flip(a)]. given #4762 (H,wt=17): 5408 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(199,a,2286,a(flip),b,4792,a),flip(a)]. given #4763 (H,wt=15): 5530 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4770(a,1),5408(a,1,1))]. given #4764 (H,wt=17): 5424 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(5422(a,1),4610(a,2,2))]. given #4765 (H,wt=15): 5531 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(199,a,4610,a,b,5424,a)]. given #4766 (H,wt=17): 5463 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(2990,a,4970,a)]. given #4767 (H,wt=17): 5464 K(x,x \ y) \ ((y / x) * z) = (x \ y) * z. [hyper(5147,a,4972,a)]. given #4768 (H,wt=17): 5489 K(x,y) * T(y,y * x) != z | L(y,x,y) = z. [para(2970(a,1),5154(a,1))]. given #4769 (H,wt=17): 5494 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(2234(a,1),5186(a,1,1,2))]. given #4770 (H,wt=17): 5501 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(2243(a,2),5221(a,1,2,2))]. given #4771 (H,wt=17): 5512 (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). [para(4624(a,1),5268(a,1,1))]. given #4772 (H,wt=16): 5537 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(68,a,4901,a(flip),b,5512,a)]. given #4773 (H,wt=17): 5526 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [para(4796(a,1),5524(a,2,2)),flip(a)]. given #4774 (H,wt=17): 5527 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(5296(a,1),2396(a,1,2)),flip(a)]. given #4775 (H,wt=17): 5529 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(4624(a,1),5408(a,1,1,1))]. given #4776 (H,wt=17): 5532 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(107(a,1),5531(a,1,2,2,1))]. given #4777 (H,wt=17): 5534 K(x,y) * T(y,x * y) != z | L(y,x,y) = z. [para(4041(a,2),5489(a,1,2))]. given #4778 (H,wt=17): 5536 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(2000(a,1),5501(a,1,2,2,1))]. given #4779 (H,wt=17): 5538 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(5527(a,1),3404(a,1,2))]. given #4780 (H,wt=18): 4608 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4592(a,2,1)),flip(a)]. given #4781 (H,wt=18): 4609 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4592(a,2,1)),flip(a)]. given #4782 (H,wt=18): 4653 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4599(a,2,2)),flip(a)]. given #4783 (H,wt=18): 4710 L(K(x,y) \ z,K(x,y),x) = T(x,y) \ (x * z). [para(4652(a,2),94(a,2,1))]. given #4784 (H,wt=18): 4711 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(4652(a,2),102(a,2,1))]. given #4785 (H,wt=18): 4727 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(4660(a,2),94(a,2,2))]. given #4786 (H,wt=18): 4737 R(x,y,z) \ R(T(x,u),y,z) = K(u,R(x,y,z)). [hyper(68,a,42,a,b,4685,a(flip))]. given #4787 (H,wt=18): 4756 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(4752(a,1),218(a,1,2))]. given #4788 (H,wt=18): 4766 L(x \ T(y,z),x,K(y,z)) = (K(y,z) * x) \ y. [para(4753(a,1),94(a,2,2))]. given #4789 (H,wt=18): 4777 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4598(a,2),28(a,2,2,2)),flip(a)]. given #4790 (H,wt=18): 4799 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4624(a,1),102(a,1,1))]. given #4791 (H,wt=16): 5546 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(199,a,4624,a(flip),b,4799,a)]. given #4792 (H,wt=18): 4801 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(4624(a,1),443(a,1,1))]. given #4793 (H,wt=18): 4806 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4624(a,1),822(a,1,1,1))]. given #4794 (H,wt=18): 4809 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4624(a,1),1474(a,2,1)),flip(a)]. given #4795 (H,wt=18): 4818 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(4642(a,2),270(a,1,2,2))]. given #4796 (H,wt=16): 5549 T(x,y) * y != z | x * ((x * y) / x) = z. [para(4676(a,1),4818(a,1))]. given #4797 (H,wt=18): 4819 x * K(y,x) != z * u | z \ ((y * x) / y) = u. [para(4642(a,2),328(a,1,2))]. given #4798 (H,wt=16): 5550 T(x,y) != z * u | z \ ((y * x) / y) = u. [para(4685(a,2),4819(a,1))]. given #4799 (H,wt=18): 4835 K(x,y) * z != u * K(y,x) | T(u,K(x,y)) = z. [para(4745(a,1),155(a,2))]. given #4800 (H,wt=18): 4837 K(x,y) * K(z,y) != u | K(z,y) * K(x,y) = u. [para(4747(a,1),215(a,1,2))]. given #4801 (H,wt=18): 4839 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(4748(a,1),215(a,1,2))]. given #4802 (H,wt=18): 4844 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4037(a,2),4775(a,1,1)),flip(a)]. given #4803 (H,wt=18): 4857 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3082(a,1),4655(a,1,2))]. given #4804 (H,wt=18): 4867 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2032(a,2),4709(a,1,2))]. given #4805 (H,wt=18): 4918 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(4897(a,1),94(a,2,2))]. given #4806 (H,wt=18): 4923 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(676(a,1),4910(a,1,1)),flip(a)]. given #4807 (H,wt=18): 4939 K(x,(y * x) \ y) \ 1 != z | K(x \ 1,x) = z. [para(2347(a,2),4916(a,1,1))]. given #4808 (H,wt=18): 4943 K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. [para(40(a,2),4925(a,1,2))]. given #4809 (H,wt=18): 4944 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(42(a,2),4925(a,1,2))]. given #4810 (H,wt=18): 4982 ((x * y) / x) * (y \ 1) != z | x \ T(x,y) = z. [para(4639(a,1),4627(a,1))]. given #4811 (H,wt=18): 5021 K(x,y) * (z * K(y,x)) != u | T(z,K(y,x)) = u. [para(5008(a,1),255(a,1))]. given #4812 (H,wt=18): 5024 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(5008(a,1),269(a,1))]. given #4813 (H,wt=18): 5133 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(2004(a,2),4774(a,2,1))]. given #4814 (H,wt=18): 5139 (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. [para(4233(a,2),4915(a,1))]. given #4815 (H,wt=18): 5140 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(4293(a,2),4915(a,1))]. given #4816 (H,wt=18): 5153 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1605(a,1),5136(a,1,1))]. given #4817 (H,wt=18): 5166 x * T(x \ y,z) != u * y | K(y / x,z) = u. [para(4629(a,1),20(a,1))]. given #4818 (H,wt=18): 5189 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(2035(a,2),5181(a,1,2))]. given #4819 (H,wt=18): 5190 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2216(a,1),5181(a,1,2))]. given #4820 (H,wt=18): 5202 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(4641(a,2),5188(a,1))]. given #4821 (H,wt=18): 5211 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2766(a,1),5205(a,1,2)),flip(a)]. given #4822 (H,wt=18): 5230 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5226(a,1),38(a,1,1)),flip(a)]. given #4823 (H,wt=18): 5253 x \ T(x * y,y) != y * z | K(x * y,y) = z. [para(4795(a,2),19(a,1))]. given #4824 (H,wt=18): 5259 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2811(a,1),4829(a,1,2))]. given #4825 (H,wt=18): 5266 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(4957(a,2),3105(a,1))]. given #4826 (H,wt=18): 5267 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(4957(a,2),3112(a,1))]. given #4827 (H,wt=18): 5279 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(5271(a,1),342(a,1,1))]. given #4828 (H,wt=18): 5280 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(5271(a,1),342(a,1))]. given #4829 (H,wt=18): 5282 K(x,y) * z != u * K(x,y) | T(z,K(y,x)) = u. [para(5276(a,1),156(a,1,2)),flip(b)]. given #4830 (H,wt=18): 5283 x * K(y,z) != u | K(y,z) * T(x,K(z,y)) = u. [para(5276(a,1),217(a,1,1))]. given #4831 (H,wt=18): 5293 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(5274(a,1),5229(a,1,1))]. given #4832 (H,wt=18): 5309 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5095(a,1),270(a,1))]. given #4833 (H,wt=18): 5343 K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. [para(5270(a,1),19(a,1)),flip(a)]. given #4834 (H,wt=18): 5345 T(K(x,y),z) != K(x,y) * u | K(z,K(y,x)) = u. [para(5287(a,1),19(a,1))]. given #4835 (H,wt=18): 5347 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5316(a,1),253(a,1,1)),flip(b)]. given #4836 (H,wt=18): 5351 ((x * y) / x) \ y != z * u | z \ K(y,x) = u. [para(3634(a,2),4674(a,1))]. given #4837 (H,wt=18): 5353 K(x,1 / y) != z * u | z \ K(x,y \ 1) = u. [para(4650(a,1),4712(a,1))]. given #4838 (H,wt=18): 5357 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(105(a,1),4977(a,1,2))]. given #4839 (H,wt=18): 5359 T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. [para(32(a,2),5001(a,1,2))]. given #4840 (H,wt=18): 5361 ((x * y) / x) \ (y * z) != u | K(y,x) * z = u. [para(4079(a,2),5001(a,1))]. given #4841 (H,wt=18): 5362 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(4599(a,2),5001(a,1,2))]. given #4842 (H,wt=18): 5373 T(x,y \ K(y,z)) != u | T(x,z / (z * y)) = u. [para(4770(a,1),5237(a,1,2))]. given #4843 (H,wt=18): 5377 (T(x,y) \ x) * z != u | T(y,x) * (y \ z) = u. [para(4592(a,1),5356(a,1,1))]. given #4844 (H,wt=18): 5381 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(185(a,1),5367(a,1,1))]. given #4845 (H,wt=18): 5382 K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. [para(5006(a,2),5367(a,1))]. given #4846 (H,wt=18): 5383 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),5369(a,1,1,1)),flip(a)]. given #4847 (H,wt=18): 5402 T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. [para(5398(a,1),338(a,1,1)),flip(b)]. given #4848 (H,wt=18): 5423 T(K(1 / x,y),z) != u | K(1 / T(x,z),y) = u. [para(5421(a,1),338(a,1,1)),flip(b)]. given #4849 (H,wt=18): 5446 R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [hyper(199,a,3849,a,b,5442,a),flip(a)]. given #4850 (H,wt=16): 5567 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5446(a,1),4127(a,1))]. given #4851 (H,wt=18): 5555 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(14(a,1),5024(a,1,2))]. given #4852 (H,wt=18): 5564 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(199,a,42,a,b,5230,a)]. given #4853 (H,wt=19): 4582 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(199,a,3035,a(flip),b,4577,a),flip(a)]. given #4854 (H,wt=17): 5568 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4105(a,1),4582(a,1,2))]. given #4855 (H,wt=17): 5569 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(5568(a,2),63(a,1,1))]. given #4856 (H,wt=19): 4637 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(199,a,3716,a,b,4599,a),flip(a)]. given #4857 (H,wt=17): 5570 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4599(a,2),4637(a,1,1))]. given #4858 (H,wt=14): 5572 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(199,a,4334,a(flip),b,5570,a(flip))]. given #4859 (H,wt=17): 5573 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3381(a,1),5570(a,1,1)),flip(a)]. given #4860 (H,wt=18): 5575 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(306(a,1),5573(a,1,2,1)),flip(a)]. given #4861 (H,wt=19): 4695 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4625(a,1),2902(a,1,2)),flip(a)]. given #4862 (H,wt=19): 4714 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(4652(a,2),391(a,2,2))]. given #4863 (H,wt=19): 4717 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(4652(a,2),1195(a,1,2)),flip(a)]. given #4864 (H,wt=19): 4754 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4751(a,1),431(a,1,1,1)),flip(a)]. given #4865 (H,wt=19): 4788 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(4622(a,1),4400(a,1,1,1))]. given #4866 (H,wt=19): 4793 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(68,a,4624,a,b,928,a)]. given #4867 (H,wt=17): 5579 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(199,a,5261,a(flip),b,4793,a)]. given #4868 (H,wt=19): 4807 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4624(a,1),1301(a,2,1,2))]. given #4869 (H,wt=19): 4871 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2450,a,4600,a)]. given #4870 (H,wt=17): 5584 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4600(a,1),4871(a,1,1))]. given #4871 (H,wt=17): 5586 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3085(a,1),5584(a,1,1)),flip(a)]. given #4872 (H,wt=19): 4873 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(922,a,4600,a)]. given #4873 (H,wt=17): 5590 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(105(a,1),4873(a,1,2))]. given #4874 (H,wt=19): 4877 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(199,a,2431,a(flip),b,4600,a(flip)),flip(a)]. given #4875 (H,wt=17): 5591 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4600(a,1),4877(a,1,1))]. given #4876 (H,wt=17): 5592 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4647(a,1),4877(a,1,1))]. given #4877 (H,wt=17): 5594 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3085(a,1),5591(a,1,1)),flip(a)]. given #4878 (H,wt=17): 5597 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(199,a,3082,a,b,5592,a)]. given #4879 (H,wt=17): 5600 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(3083(a,1),5597(a,1,1)),flip(a)]. given #4880 (H,wt=19): 4879 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(68,a,4600,a(flip),b,784,a(flip))]. given #4881 (H,wt=19): 4882 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4600(a,1),809(a,2,2))]. given #4882 (H,wt=19): 4883 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4600(a,1),1031(a,1,1))]. given #4883 (H,wt=19): 4886 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4600(a,1),1308(a,2,1))]. given #4884 (H,wt=19): 4887 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4600(a,1),1338(a,2,1))]. given #4885 (H,wt=19): 4935 K((T(x,y) * z) / x,x) = K(T(x,y) * (x \ z),x). [para(925(a,1),4920(a,2,1))]. given #4886 (H,wt=19): 4950 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(199,a,3099,a,b,4628,a)]. given #4887 (H,wt=19): 4962 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(69,a,4282,a(flip),b,4631,a(flip)),flip(a)]. given #4888 (H,wt=19): 5000 K(x,y) * (T(z,u) * x) = T(x,y) * T(T(z,x),u). [para(163(a,1),4669(a,1,2))]. given #4889 (H,wt=19): 5016 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(2990,a,5008,a(flip)),flip(a)]. given #4890 (H,wt=19): 5065 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3708,a,4849,a)]. given #4891 (H,wt=19): 5105 K(x,y) * (K(x,z) * u) = T(x,y) * (T(x,z) \ u). [para(4971(a,1),4669(a,1,2))]. given #4892 (H,wt=19): 5132 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(737(a,2),5129(a,1,2))]. given #4893 (H,wt=19): 5141 K(x,T(y \ 1,L(y,z,u))) != w | K(x,y \ 1) = w. [para(4546(a,2),4987(a,1,2))]. given #4894 (H,wt=19): 5164 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4770(a,1),5163(a,1,1,2)),flip(a)]. given #4895 (H,wt=19): 5196 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(199,a,2322,a(flip),b,4641,a(flip)),flip(a)]. given #4896 (H,wt=19): 5198 x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1). [hyper(199,a,1668,a(flip),b,4641,a(flip)),flip(a)]. given #4897 (H,wt=19): 5227 T(x * K(T(x,y) \ z,x),y) = z / (z / T(x,y)). [hyper(18,a,3907,a,b,4688,a)]. given #4898 (H,wt=19): 5247 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5239(a,1),4680(a,1,1))]. given #4899 (H,wt=19): 5281 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(5271(a,1),1165(a,1,2))]. given #4900 (H,wt=19): 5291 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5285(a,1),4669(a,1,1))]. given #4901 (H,wt=19): 5302 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(170(a,1),5081(a,1,1)),flip(a)]. given #4902 (H,wt=19): 5313 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(846(a,1),5098(a,1,2))]. given #4903 (H,wt=19): 5319 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1387(a,1),5168(a,1,2))]. given #4904 (H,wt=19): 5320 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1399(a,1),5168(a,1,2))]. given #4905 (H,wt=19): 5334 K(x,T(1 / y,z) \ u) = K(x,T(y \ 1,z) \ u). [para(2216(a,1),5216(a,1,2,1)),flip(a)]. given #4906 (H,wt=19): 5341 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5339(a,1),4652(a,2,2)),flip(a)]. given #4907 (H,wt=19): 5342 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(199,a,63,a,b,5265,a),flip(a)]. given #4908 (H,wt=19): 5370 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5156(a,1),1915(a,1))]. given #4909 (H,wt=19): 5384 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5369(a,1),1916(a,1))]. given #4910 (H,wt=19): 5404 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(171(a,1),5401(a,1,2,2,1))]. given #4911 (H,wt=19): 5425 (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. [para(4876(a,1),4615(a,1,2))]. given #4912 (H,wt=15): 5619 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(4612,a,5425,a)]. given #4913 (H,wt=16): 5620 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(145(a,2),5619(a,2,1)),flip(a)]. given #4914 (H,wt=16): 5621 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(5620(a,1),60(a,1,2))]. given #4915 (H,wt=19): 5430 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(872,a,4884,a)]. given #4916 (H,wt=19): 5431 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(636,a,4884,a),flip(a)]. given #4917 (H,wt=19): 5443 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),4885(a,2,2,1))]. given #4918 (H,wt=19): 5456 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5448(a,1),4934(a,1,2)),flip(a)]. given #4919 (H,wt=19): 5466 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(851(a,1),4984(a,1,1)),flip(a)]. given #4920 (H,wt=19): 5476 (x * y) * (x / (x * y)) = x * K(x * y,1 / y). [para(5108(a,1),222(a,1,2)),flip(a)]. given #4921 (H,wt=19): 5485 T(x,x \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). [hyper(68,a,5123,a(flip),b,4631,a),flip(a)]. given #4922 (H,wt=19): 5487 ((x \ y) \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). [hyper(68,a,5126,a(flip),b,4949,a)]. given #4923 (H,wt=19): 5490 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2647(a,1),5182(a,1,1,1))]. given #4924 (H,wt=19): 5491 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(2840(a,1),5182(a,1,1,1))]. given #4925 (H,wt=19): 5492 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(2878(a,1),5182(a,1,1,1)),flip(a)]. given #4926 (H,wt=19): 5497 K(x,y \ (z * (1 / u))) = K(x,y \ (z * (u \ 1))). [para(2749(a,1),5218(a,1,2,2))]. given #4927 (H,wt=19): 5498 K(x,y \ ((1 / z) \ u)) = K(x,y \ ((z \ 1) \ u)). [para(2835(a,1),5218(a,1,2,2)),flip(a)]. given #4928 (H,wt=19): 5499 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2840(a,1),5218(a,1,2,2))]. given #4929 (H,wt=19): 5500 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(2840(a,1),5219(a,1,2,1))]. given #4930 (H,wt=19): 5502 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2749(a,1),5222(a,1,2,1))]. given #4931 (H,wt=19): 5503 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(2840(a,1),5222(a,1,2,1))]. given #4932 (H,wt=19): 5535 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3304(a,1),5494(a,1,1,2))]. given #4933 (H,wt=19): 5539 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(3917(a,1),5532(a,1,2,2))]. given #4934 (H,wt=19): 5540 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(2835(a,1),5536(a,1,2,2)),flip(a)]. given #4935 (H,wt=19): 5563 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(5202,a,1668,a),flip(a)]. given #4936 (H,wt=19): 5578 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4788(a,1),16(a,1,1))]. given #4937 (H,wt=19): 5595 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(4912(a,1),5591(a,1,1,1)),flip(a)]. given #4938 (H,wt=19): 5598 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5594(a,1),4912(a,1,1)),flip(a)]. given #4939 (H,wt=15): 5633 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(199,a,5573,a(flip),b,5598,a(flip))]. given #4940 (H,wt=15): 5634 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(5633(a,1),60(a,1,2))]. given #4941 (H,wt=18): 5635 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5634(a,1),253(a,1,1)),flip(b)]. given #4942 (H,wt=19): 5601 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(5600(a,1),4911(a,1,2)),flip(a)]. given #4943 (H,wt=19): 5605 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(73,a,4886,a)]. given #4944 (H,wt=19): 5609 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(4883(a,2),4887(a,1,2))]. given #4945 (H,wt=19): 5611 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),5132(a,2,2))]. given #4946 (H,wt=19): 5612 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [para(5196(a,1),16(a,1,1))]. given #4947 (H,wt=19): 5615 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5198(a,1),14(a,1,2))]. given #4948 (H,wt=19): 5617 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4425(a,1),5320(a,1,2))]. given #4949 (H,wt=19): 5624 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5430(a,1),14(a,1,2))]. given #4950 (H,wt=19): 5625 (x * y) * (y / (x * y)) = y * K(x \ 1,x * y). [hyper(335,a,5456,a)]. given #4951 (H,wt=19): 5626 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(3385(a,1),5476(a,2,2))]. given #4952 (H,wt=19): 5642 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(199,a,5612,a,b,5615,a),flip(a)]. given #4953 (H,wt=17): 5648 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5235(a,1),5642(a,1,1)),flip(a)]. given #4954 (H,wt=15): 5649 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(155,a,5648,a)]. given #4955 (H,wt=20): 4730 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4660(a,2),161(a,1,1))]. given #4956 (H,wt=20): 4741 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4685(a,1),554(a,2,1)),flip(a)]. given #4957 (H,wt=20): 4800 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4624(a,2),422(a,1,2))]. given #4958 (H,wt=20): 4853 (1 / (1 / x)) / K(y,x) != z | T(1 / (1 / x),y) = z. [para(3386(a,1),4613(a,1,2))]. given #4959 (H,wt=20): 4955 T(x,y) * (x \ z) != u * w | u \ (K(x,y) * z) = w. [para(4628(a,2),492(a,1))]. given #4960 (H,wt=20): 4956 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(4628(a,1),160(a,1,2,2))]. given #4961 (H,wt=18): 5651 (x * y) \ (T(y,x) * z) = L(x \ z,T(x,y),y). [para(4909(a,1),4956(a,1,2))]. given #4962 (H,wt=17): 5652 L(x \ (x * y),T(x,z),z) = L(y,x,T(z,x)). [hyper(717,a,5651,a),flip(a)]. given #4963 (H,wt=13): 5653 L(x,T(y,z),z) = L(x,y,T(z,y)). [para(13(a,1),5652(a,1,1))]. given #4964 (H,wt=20): 4980 K(x,y) * (x * z) != u * w | (T(x,y) * z) / w = u. [para(4636(a,1),323(a,1,1))]. given #4965 (H,wt=20): 4995 ((x * (y / x)) * z) / (y * z) = R(K(x,x \ y),y,z). [para(4668(a,1),30(a,2,1,1)),flip(a)]. given #4966 (H,wt=20): 5022 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5008(a,1),198(a,1,1,2))]. given #4967 (H,wt=20): 5023 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5008(a,1),198(a,1,1))]. given #4968 (H,wt=20): 5043 L(x \ (K(y,z) * u),x,K(y,z)) = (K(y,z) * x) \ u. [para(5028(a,1),198(a,1,1,2))]. given #4969 (H,wt=20): 5089 K(x,y) * (T(x,y) * z) != u * w | u \ (x * z) = w. [para(4958(a,1),4169(a,1))]. given #4970 (H,wt=20): 5143 K(x \ 1,x) * (y * x) != z | y * (1 / (1 / x)) = z. [para(2699(a,1),5019(a,1,2)),flip(b)]. given #4971 (H,wt=20): 5144 K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. [para(2840(a,1),5019(a,1,2)),flip(b)]. given #4972 (H,wt=20): 5151 T(x,T(y,z)) / (T(T(y,x),z) \ x) != u | T(y,z) = u. [para(4188(a,2),5054(a,1))]. given #4973 (H,wt=20): 5152 T(x * K(y,x),T(z,x)) != u | T(x * K(y,x),z) = u. [para(4625(a,1),5054(a,1,2,2))]. given #4974 (H,wt=20): 5167 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4629(a,1),155(a,2)),flip(a)]. given #4975 (H,wt=20): 5193 K(T(x,y),T(x,y) \ 1) != z | K(T(x,y),1 / x) = z. [para(2663(a,2),5188(a,1))]. given #4976 (H,wt=20): 5228 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1689,a,b,4688,a)]. given #4977 (H,wt=20): 5231 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(199,a,4187,a,b,4689,a)]. given #4978 (H,wt=20): 5234 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4689(a,2),4825(a,1))]. given #4979 (H,wt=20): 5241 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(102(a,2),5235(a,1,2,1))]. given #4980 (H,wt=20): 5243 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(5238(a,1),2036(a,1))]. given #4981 (H,wt=20): 5299 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5079(a,1),736(a,1,1))]. given #4982 (H,wt=20): 5335 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(3306(a,2),5216(a,1,2,1))]. given #4983 (H,wt=20): 5352 x * T(x \ 1,y) != z * u | z \ K(x \ 1,y) = u. [para(3887(a,1),4674(a,1))]. given #4984 (H,wt=20): 5354 x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. [para(1218(a,1),4861(a,1))]. given #4985 (H,wt=20): 5360 (x \ y) * T((x \ y) \ y,z) != u | K(x,z) * y = u. [para(367(a,2),5001(a,1))]. given #4986 (H,wt=20): 5378 ((x * y) / x) \ (y * z) != u | T(y,x) * (y \ z) = u. [para(4951(a,2),5356(a,1))]. given #4987 (H,wt=20): 5405 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,4662,a,b,4690,a),flip(a)]. given #4988 (H,wt=20): 5409 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(199,a,4624,a(flip),b,4804,a),flip(a)]. given #4989 (H,wt=14): 5665 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(17,a,4563,a(flip),b,5409,a)]. given #4990 (H,wt=14): 5666 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(17,a,4472,a(flip),b,5409,a)]. given #4991 (H,wt=17): 5667 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(199,a,4311,a,b,5665,a),flip(a)]. given #4992 (H,wt=20): 5410 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(69,a,4804,a,b,4664,a(flip))]. given #4993 (H,wt=20): 5411 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4804(a,2),4594(a,2,1)),flip(a)]. given #4994 (H,wt=20): 5412 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4804(a,2),4761(a,2,2)),flip(a)]. given #4995 (H,wt=20): 5413 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(68,a,4805,a,b,4624,a(flip))]. given #4996 (H,wt=20): 5415 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4805(a,2),4594(a,2,1)),flip(a)]. given #4997 (H,wt=20): 5416 (x \ y) * T(x,y) != z * x | x \ (y * K(x,y)) = z. [para(4813(a,1),20(a,1))]. given #4998 (H,wt=20): 5465 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(4972(a,1),5042(a,1,2)),flip(b)]. given #4999 (H,wt=20): 5472 x \ ((y / (y / x)) * z) != u * z | K(x \ y,x) = u. [para(5080(a,2),77(a,1,2)),flip(b)]. given #5000 (H,wt=20): 5504 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5225(a,1),254(a,1,2)),flip(b)]. given #5001 (H,wt=20): 5505 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5232(a,1),211(a,1,2)),flip(b)]. given #5002 (H,wt=20): 5517 (x * y) * ((y * x) \ x) != z * u | z \ T(x,y) = u. [para(5514(a,1),327(a,1,1))]. given #5003 (H,wt=20): 5521 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5519(a,1),2187(a,1,2)),flip(a)]. given #5004 (H,wt=20): 5551 x * (T(x,y) \ K(z,x)) != u | K(z,x) * K(y,x) = u. [para(4631(a,2),4837(a,1))]. given #5005 (H,wt=20): 5552 T(x,y) * (x \ K(x,z)) != u | K(x,z) * K(x,y) = u. [para(4628(a,2),4839(a,1))]. given #5006 (H,wt=20): 5554 K(x,R(y / x,z,u)) != w | K(x,R(x \ y,z,u)) = w. [para(170(a,1),4944(a,1,2,1))]. given #5007 (H,wt=20): 5565 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5259(a,1),5333(a,1,1))]. given #5008 (H,wt=16): 5671 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(15(a,1),5565(a,2,2))]. given #5009 (H,wt=12): 5672 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(4784,a,5671,a),flip(a)]. given #5010 (H,wt=20): 5574 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(5572(a,2),4340(a,1,2))]. given #5011 (H,wt=20): 5577 K(x \ y,(x \ y) \ 1) != z | K(x \ y,y \ x) = z. [para(5575(a,1),4376(a,1))]. given #5012 (H,wt=20): 5582 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(199,a,2594,a,b,4871,a(flip)),flip(a)]. given #5013 (H,wt=20): 5636 K(x,L(y \ 1,z,u) \ 1) != w | L(K(x,y),z,u) = w. [para(5598(a,2),5635(a,1))]. given #5014 (H,wt=20): 5650 x * K(y,(x \ z) \ 1) != u * x | K(y,x / z) = u. [para(5648(a,2),20(a,1))]. given #5015 (H,wt=20): 5654 x * (K(x,y) * z) != u * w | (T(x,y) * z) / w = u. [para(4011(a,1),4980(a,1))]. given #5016 (H,wt=20): 5657 L(x \ (y * z),x,K(y,z)) = (K(y,z) * x) \ (z * y). [para(4622(a,1),5043(a,1,1,2))]. given #5017 (H,wt=20): 5658 ((1 / x) * y) * K(x \ 1,x) != z | (x \ 1) * y = z. [para(2246(a,1),5144(a,1))]. given #5018 (H,wt=20): 5668 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(5665(a,2),2475(a,1,1))]. given #5019 (H,wt=20): 5669 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(5666(a,1),5597(a,1,1)),flip(a)]. given #5020 (H,wt=17): 5678 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(199,a,4345,a(flip),b,5669,a)]. given #5021 (H,wt=19): 5680 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(5678(a,1),2054(a,1,2))]. given #5022 (H,wt=20): 5676 K(x,y) * K(x \ 1,x) != z | (x \ 1) * T(x,y) = z. [para(4643(a,2),5658(a,1,1))]. given #5023 (H,wt=15): 5681 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(5676,a,5055,a),flip(a)]. given #5024 (H,wt=18): 5682 (x \ K(x,y)) * x != z | (x \ 1) * T(x,y) = z. [para(5055(a,1),5676(a,1))]. given #5025 (H,wt=18): 5683 (x \ K(x,y)) * x != z * T(x,y) | x \ 1 = z. [para(5681(a,2),20(a,1))]. given #5026 (H,wt=20): 5677 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(199,a,5591,a(flip),b,5668,a(flip)),flip(a)]. given #5027 (H,wt=20): 5684 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(199,a,5667,a(flip),b,5677,a)]. given #5028 (H,wt=21): 4588 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4580(a,1),1636(a,2,2))]. given #5029 (H,wt=21): 4715 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4652(a,2),427(a,2,2))]. given #5030 (H,wt=21): 4732 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4660(a,2),403(a,1,2,2))]. given #5031 (H,wt=21): 4733 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4660(a,2),508(a,1,2))]. given #5032 (H,wt=21): 4755 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(4751(a,1),433(a,1,1,1)),flip(a)]. given #5033 (H,wt=21): 4772 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(69,a,2347,a(flip),b,4597,a(flip))]. given #5034 (H,wt=19): 5689 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(199,a,2361,a(flip),b,4772,a)]. given #5035 (H,wt=21): 4789 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4151,a,4624,a),flip(a)]. given #5036 (H,wt=21): 4803 R(x * K(y,x),y,y \ 1) != z | (y * x) * (y \ 1) = z. [para(4624(a,1),451(a,1,1))]. given #5037 (H,wt=21): 4858 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),4673(a,1,1))]. given #5038 (H,wt=21): 4859 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),4673(a,1,1))]. given #5039 (H,wt=21): 4864 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),4709(a,1,2))]. given #5040 (H,wt=21): 4928 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(4911(a,1),3434(a,1,2,2))]. given #5041 (H,wt=19): 5691 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(199,a,5529,a(flip),b,4928,a)]. given #5042 (H,wt=21): 5002 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(164(a,1),4669(a,1,2))]. given #5043 (H,wt=21): 5003 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(165(a,1),4669(a,1,2))]. given #5044 (H,wt=21): 5011 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(604,a,5008,a),flip(a)]. given #5045 (H,wt=21): 5017 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(199,a,3506,a(flip),b,5008,a(flip))]. given #5046 (H,wt=21): 5025 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5008(a,1),481(a,1,2))]. given #5047 (H,wt=21): 5071 (x * (y * T(y \ 1,z))) * y = (x * y) * K(z,y \ 1). [para(4875(a,1),1533(a,2,2))]. given #5048 (H,wt=19): 5695 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(4875(a,1),5071(a,1,1,2))]. given #5049 (H,wt=19): 5696 (x * K(y,z \ 1)) / z = (x / z) * K(y,z \ 1). [hyper(69,a,81,a(flip),b,5695,a)]. given #5050 (H,wt=21): 5120 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(3082(a,2),5061(a,2,1))]. given #5051 (H,wt=19): 5699 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(3394(a,1),5120(a,1,2)),flip(a)]. given #5052 (H,wt=21): 5155 T(x,x * y) * K(y,x) != z * u | z \ L(x,y,x) = u. [para(5137(a,2),328(a,1,2))]. given #5053 (H,wt=21): 5194 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(2130,a,4641,a)]. given #5054 (H,wt=17): 5701 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(14(a,1),5194(a,1,2,2,1))]. given #5055 (H,wt=21): 5195 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(199,a,2581,a(flip),b,4641,a(flip)),flip(a)]. given #5056 (H,wt=17): 5703 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(4641(a,1),5195(a,1,1))]. given #5057 (H,wt=14): 5704 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(4127,a,5703,a),flip(a)]. given #5058 (H,wt=14): 5705 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(199,a,3534,a(flip),b,5703,a(flip))]. given #5059 (H,wt=17): 5706 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3381(a,1),5703(a,1,1)),flip(a)]. given #5060 (H,wt=19): 5707 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5235(a,1),5703(a,1,1)),flip(a)]. given #5061 (H,wt=18): 5711 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(199,a,5241,a(flip),b,5707,a(flip))]. given #5062 (H,wt=18): 5713 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(515(a,1),5707(a,1,2)),flip(a)]. given #5063 (H,wt=18): 5715 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),5711(a,2,2,2))]. given #5064 (H,wt=18): 5716 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(60(a,1),5711(a,1,1,2)),flip(a)]. given #5065 (H,wt=12): 5719 R(K(x,y),T(y,z),u) = K(x,y). [para(3801(a,1),5716(a,1,2)),flip(a)]. given #5066 (H,wt=10): 5721 R(K(x,y),y,z) = K(x,y). [para(104(a,1),5719(a,1,2))]. given #5067 (H,wt=14): 5724 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(199,a,5584,a(flip),b,5721,a(flip)),flip(a)]. given #5068 (H,wt=15): 5718 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(99(a,2),5716(a,1,2))]. given #5069 (H,wt=15): 5727 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),5718(a,1,2,2)),flip(a)]. given #5070 (H,wt=14): 5730 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(4127,a,5727,a),flip(a)]. given #5071 (H,wt=17): 5720 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [hyper(68,a,5719,a(flip),b,2774,a)]. given #5072 (H,wt=16): 5732 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(4902(a,1),5720(a,1,1))]. given #5073 (H,wt=18): 5717 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(4988(a,1),5715(a,1,1))]. given #5074 (H,wt=15): 5733 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(4127,a,5717,a),flip(a)]. given #5075 (H,wt=18): 5735 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(5717(a,1),4127(a,1))]. given #5076 (H,wt=19): 5710 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(5706(a,1),4652(a,2,2))]. given #5077 (H,wt=19): 5722 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(5719(a,1),101(a,1,1)),flip(a)]. given #5078 (H,wt=10): 5738 L(x,T(y,z),K(u,y)) = x. [hyper(391,a,5722,a)]. given #5079 (H,wt=19): 5731 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(199,a,5584,a(flip),b,5727,a(flip)),flip(a)]. given #5080 (H,wt=20): 5708 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),5704(a,1,2,1))]. given #5081 (H,wt=20): 5712 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(443(a,1),5707(a,1,2,1)),flip(a)]. given #5082 (H,wt=20): 5714 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),5711(a,2,2,1))]. given #5083 (H,wt=20): 5723 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(199,a,5239,a(flip),b,5721,a)]. given #5084 (H,wt=20): 5734 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(199,a,5235,a,b,5717,a)]. given #5085 (H,wt=20): 5740 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(60(a,1),5712(a,1,1,2)),flip(a)]. given #5086 (H,wt=20): 5742 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(15(a,1),5734(a,1,1,2,1))]. given #5087 (H,wt=21): 5201 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4641(a,1),1897(a,2,1))]. given #5088 (H,wt=21): 5325 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3425(a,1),5176(a,1,1,2))]. given #5089 (H,wt=21): 5326 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5061(a,1),5178(a,1,1,1)),flip(a)]. given #5090 (H,wt=19): 5745 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(4845(a,1),5326(a,1,1,1)),flip(a)]. given #5091 (H,wt=21): 5329 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2272(a,2),5184(a,1,1,2))]. given #5092 (H,wt=21): 5331 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(4350(a,1),5330(a,1,2,1))]. given #5093 (H,wt=21): 5336 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(3426(a,1),5216(a,1,2,1)),flip(a)]. given #5094 (H,wt=21): 5427 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1387(a,1),4878(a,1,2))]. given #5095 (H,wt=21): 5429 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(881,a,4884,a),flip(a)]. given #5096 (H,wt=21): 5432 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(199,a,1399,a(flip),b,4884,a(flip)),flip(a)]. given #5097 (H,wt=21): 5437 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(199,a,875,a(flip),b,4885,a)]. given #5098 (H,wt=21): 5438 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(199,a,846,a(flip),b,4885,a)]. given #5099 (H,wt=21): 5440 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(69,a,875,a(flip),b,4885,a),flip(a)]. given #5100 (H,wt=21): 5459 R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(3849(a,2),5453(a,1))]. given #5101 (H,wt=21): 5469 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(237,a,5078,a),flip(a)]. given #5102 (H,wt=15): 5750 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(5472,a,5469,a(flip)),flip(a)]. given #5103 (H,wt=21): 5486 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(32(a,2),5123(a,1,2))]. given #5104 (H,wt=21): 5488 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5109(a,1),5128(a,1,2,1))]. given #5105 (H,wt=21): 5496 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3604(a,1),5186(a,1,1,2))]. given #5106 (H,wt=21): 5506 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5337(a,1),5232(a,1,2,1,2))]. given #5107 (H,wt=15): 5753 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5504,a,5506,a),flip(a)]. given #5108 (H,wt=21): 5511 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(5263(a,2),3501(a,1,1)),flip(a)]. given #5109 (H,wt=21): 5528 T(x * K(y \ x,x),y \ 1) != z | R(x,y \ 1,x) = z. [para(5163(a,1),5338(a,1,1,2))]. given #5110 (H,wt=15): 5755 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(5528,a,5231,a),flip(a)]. given #5111 (H,wt=21): 5544 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3588(a,1),4609(a,1,1,1)),flip(a)]. given #5112 (H,wt=16): 5756 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(5544(a,2),197(a,1))]. given #5113 (H,wt=13): 5757 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(5756,a,4738,a),flip(a)]. given #5114 (H,wt=21): 5560 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3483(a,2),5133(a,2,1,2))]. given #5115 (H,wt=21): 5561 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(2104(a,2),5140(a,1,2)),flip(b)]. given #5116 (H,wt=21): 5587 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5586(a,1),5008(a,1,1)),flip(a)]. given #5117 (H,wt=17): 5759 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(5706(a,1),5587(a,1,1)),flip(a)]. given #5118 (H,wt=15): 5760 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(3274,a,5759,a)]. given #5119 (H,wt=18): 5761 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(507,a,5759,a)]. given #5120 (H,wt=18): 5762 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(480,a,5759,a)]. given #5121 (H,wt=18): 5764 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(5759(a,2),75(a,1)),flip(b)]. given #5122 (H,wt=21): 5588 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(199,a,1391,a(flip),b,4873,a(flip)),flip(a)]. given #5123 (H,wt=15): 5767 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(199,a,4981,a(flip),b,5588,a(flip))]. given #5124 (H,wt=21): 5589 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(63(a,1),4873(a,1,2,2,1,2))]. given #5125 (H,wt=21): 5596 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5418(a,1),5591(a,1,1)),flip(a)]. given #5126 (H,wt=21): 5599 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(5594(a,1),5008(a,1,1)),flip(a)]. given #5127 (H,wt=17): 5771 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5573(a,1),5599(a,1,1)),flip(a)]. given #5128 (H,wt=17): 5772 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(254,a,5771,a)]. given #5129 (H,wt=17): 5774 L(K(x,y),z,u) \ w = L(K(x,y),z,u) * w. [para(4738(a,1),5771(a,1,1,1))]. given #5130 (H,wt=13): 5777 L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(18,a,5771,a(flip),b,5774,a(flip))]. given #5131 (H,wt=20): 5773 L(K(x,y),z,u) \ w != v5 * w | L(K(y,x),z,u) = v5. [para(5771(a,2),20(a,1))]. given #5132 (H,wt=20): 5775 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(5772(a,1),19(a,1)),flip(a)]. given #5133 (H,wt=20): 5776 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5772(a,1),254(a,1,2)),flip(b)]. given #5134 (H,wt=21): 5602 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(199,a,799,a(flip),b,4879,a),flip(a)]. given #5135 (H,wt=21): 5603 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3071(a,1),4883(a,1,1))]. given #5136 (H,wt=19): 5779 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(199,a,5096,a,b,5603,a(flip))]. given #5137 (H,wt=21): 5604 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3273(a,1),4883(a,2,2,1))]. given #5138 (H,wt=21): 5606 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(63(a,1),4886(a,2,1,1))]. given #5139 (H,wt=21): 5610 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5453,a,4962,a)]. given #5140 (H,wt=21): 5616 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4436(a,1),5319(a,1,2))]. given #5141 (H,wt=17): 5781 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(199,a,5617,a(flip),b,5616,a(flip))]. given #5142 (H,wt=21): 5618 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(199,a,5394,a(flip),b,5404,a(flip)),flip(a)]. given #5143 (H,wt=21): 5637 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3071(a,1),5605(a,1,2,1)),flip(a)]. given #5144 (H,wt=17): 5782 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(199,a,5605,a(flip),b,5637,a)]. given #5145 (H,wt=21): 5647 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4770(a,1),5642(a,1,1,2))]. given #5146 (H,wt=17): 5783 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),5647(a,2,2,2,1))]. given #5147 (H,wt=20): 5784 x * K(y,z \ 1) != u * x | K(y,z \ K(z,x)) = u. [para(5783(a,1),20(a,1))]. given #5148 (H,wt=21): 5656 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(199,a,4129,a(flip),b,5023,a(flip))]. given #5149 (H,wt=21): 5688 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(2972(a,1),4755(a,1,1))]. given #5150 (H,wt=21): 5690 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3520,a,5689,a)]. given #5151 (H,wt=21): 5700 K(x,y) * T(y,y * x) != z * u | z \ L(y,x,y) = u. [para(2970(a,1),5155(a,1))]. given #5152 (H,wt=21): 5709 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(5705(a,2),5133(a,2,1,2))]. given #5153 (H,wt=21): 5725 R(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. [para(5721(a,2),5244(a,1))]. given #5154 (H,wt=21): 5729 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(4953(a,1),5718(a,1,2,2)),flip(a)]. given #5155 (H,wt=21): 5737 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1458(a,1),5733(a,1,2)),flip(a)]. given #5156 (H,wt=21): 5741 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(146(a,2),5723(a,1,2))]. given #5157 (H,wt=21): 5748 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4442,a,5432,a),flip(a)]. given #5158 (H,wt=21): 5758 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(199,a,5681,a(flip),b,5560,a)]. given #5159 (H,wt=21): 5769 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(199,a,5491,a(flip),b,5589,a)]. given #5160 (H,wt=21): 5778 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [para(5602(a,1),14(a,1,2))]. given #5161 (H,wt=17): 5791 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(5767(a,1),5778(a,1,2,2))]. given #5162 (H,wt=21): 5787 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(199,a,5681,a(flip),b,5709,a)]. given #5163 (H,wt=17): 5793 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(17,a,5758,a(flip),b,5787,a(flip)),flip(a)]. given #5164 (H,wt=14): 5794 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(3673,a,5793,a),flip(a)]. given #5165 (H,wt=19): 5795 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(5794(a,1),1505(a,1,2))]. given #5166 (H,wt=19): 5796 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(199,a,229,a(flip),b,5795,a(flip)),flip(a)]. given #5167 (H,wt=15): 5798 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(199,a,3574,a(flip),b,5796,a(flip)),flip(a)]. given #5168 (H,wt=13): 5799 x / R(x,y,z) = R(x,y,z) \ x. [hyper(1685,a,5798,a)]. given #5169 (H,wt=13): 5802 (R(x,y,z) \ x) * R(x,y,z) = x. [para(5799(a,1),16(a,1,1))]. given #5170 (H,wt=15): 5800 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(154,a,5798,a,b,1503,a)]. given #5171 (H,wt=17): 5805 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(5802(a,1),4382(a,1,1,1))]. given #5172 (H,wt=20): 5801 R(x,y,z) \ x != x * u | T(1 / R(x,y,z),x) = u. [para(5798(a,1),155(a,2)),flip(a)]. given #5173 (H,wt=21): 5788 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4542(a,1),5737(a,1,2,1))]. given #5174 (H,wt=21): 5804 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(5799(a,2),5331(a,1,2,1))]. given #5175 (H,wt=22): 4734 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(4660(a,2),1686(a,1,1))]. given #5176 (H,wt=19): 5806 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(4734,a,5805,a)]. given #5177 (H,wt=22): 4778 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4598(a,2),93(a,1,2,2)),flip(a)]. given #5178 (H,wt=22): 4824 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1689,a,b,4662,a)]. given #5179 (H,wt=22): 4954 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(28(a,2),4628(a,1,2)),flip(a)]. given #5180 (H,wt=22): 4979 ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). [para(4636(a,1),102(a,1,1)),flip(a)]. given #5181 (H,wt=22): 4999 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),4669(a,2,1))]. given #5182 (H,wt=22): 5070 K(x \ 1,(1 / x) \ y) != z | (((1 / x) \ y) \ y) * x = z. [para(4874(a,1),590(a,1))]. given #5183 (H,wt=22): 5083 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),4952(a,1,2,1))]. given #5184 (H,wt=22): 5090 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),4960(a,1,1))]. given #5185 (H,wt=22): 5121 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5073(a,1,2,1))]. given #5186 (H,wt=22): 5134 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3393(a,1),4802(a,1,1))]. given #5187 (H,wt=22): 5301 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5298(a,1),126(a,1,2,1))]. given #5188 (H,wt=22): 5324 K(x / (y \ 1),z \ 1) != u | K(x / (1 / y),1 / z) = u. [para(5175(a,1),5188(a,1))]. given #5189 (H,wt=22): 5355 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2431(a,1),4861(a,1))]. given #5190 (H,wt=20): 5813 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4600(a,1),5355(a,1,1))]. given #5191 (H,wt=17): 5814 K(x \ 1,x) != y | K(L(x,z,u) \ 1,x) = y. [para(4313(a,1),5813(a,1))]. given #5192 (H,wt=22): 5358 K(x,y) * (z * (x / z)) != u | T(x,y) * K(z,z \ x) = u. [para(4851(a,1),4977(a,1,2))]. given #5193 (H,wt=22): 5363 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4953(a,1),5001(a,1,2))]. given #5194 (H,wt=22): 5374 K((x / y) \ 1,x / y) != z | K(y / x,(y / x) \ 1) = z. [para(2780(a,2),5244(a,1))]. given #5195 (H,wt=22): 5379 K(x,x \ 1) * (x * y) != z | x * (K(x,x \ 1) * y) = z. [para(2790(a,2),5366(a,1))]. given #5196 (H,wt=22): 5386 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4586(a,1),4195(a,1,1,1))]. given #5197 (H,wt=19): 5815 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4585(a,1),5386(a,1,1)),flip(a)]. given #5198 (H,wt=19): 5816 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(199,a,40,a,b,5815,a)]. given #5199 (H,wt=22): 5390 T(x \ T(x,y \ 1),z) != u | x \ T(x,T(y,z) \ 1) = u. [para(4646(a,2),4627(a,1))]. given #5200 (H,wt=22): 5462 x \ (y * (K(y,y \ x) * z)) = L((x / y) \ z,y \ x,y). [para(4964(a,1),93(a,1,2,2))]. given #5201 (H,wt=20): 5818 L((x / y) \ z,y \ x,y) = x \ (T(y,y \ x) * z). [para(4626(a,1),5462(a,1,2)),flip(a)]. given #5202 (H,wt=22): 5523 T(x \ T(y,y \ x),x / y) = L(1 / (x / y),x / y,y). [para(5522(a,1),630(a,1,1))]. given #5203 (H,wt=22): 5556 (K(x,x \ 1) * y) * K(x \ 1,x) != z * u | z \ y = u. [para(2246(a,1),5024(a,1))]. given #5204 (H,wt=20): 5819 (1 / x) * K(x \ 1,x) != y * z | y \ (x \ 1) = z. [para(2078(a,1),5556(a,1,1))]. given #5205 (H,wt=22): 5585 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5584(a,1),101(a,1,1))]. given #5206 (H,wt=22): 5607 (x * y) \ (K(x \ 1,z) * y) != u | T((x * y) \ y,z) = u. [para(4886(a,1),254(a,1,2)),flip(b)]. given #5207 (H,wt=22): 5622 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(5620(a,1),3865(a,1,2,2))]. given #5208 (H,wt=22): 5623 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4438(a,1),5621(a,1,2))]. given #5209 (H,wt=22): 5627 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2801(a,1),5491(a,1,1,1)),flip(a)]. given #5210 (H,wt=22): 5632 T(x * y,z) != u * (y * x) | (y * x) \ T(x * y,z) = u. [para(5578(a,1),20(a,1))]. given #5211 (H,wt=22): 5645 K(x,(y / z) \ 1) * z != z * u | K(x,(z \ y) \ 1) = u. [para(5642(a,2),19(a,1))]. given #5212 (H,wt=22): 5646 x * K(y,(x \ z) \ 1) != u * x | K(y,(z / x) \ 1) = u. [para(5642(a,1),20(a,1))]. given #5213 (H,wt=22): 5659 K(x \ 1,x) * K(y,x) != z | (x \ 1) * (x * K(y,x)) = z. [para(3021(a,1),5144(a,1,2))]. given #5214 (H,wt=17): 5821 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(5659,a,5161,a)]. given #5215 (H,wt=17): 5822 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(4818,a,5821,a)]. given #5216 (H,wt=22): 5673 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(5574(a,1),4717(a,1,2)),flip(a)]. given #5217 (H,wt=15): 5823 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(3676,a,5673,a)]. given #5218 (H,wt=15): 5824 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5823(a,1),16(a,1,1))]. given #5219 (H,wt=13): 5825 (L(x,y,z) \ x) * L(x,y,z) = x. [para(5824(a,1),1459(a,1,1))]. given #5220 (H,wt=13): 5826 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(73,a,5825,a)]. given #5221 (H,wt=22): 5674 K(x \ y,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(2366(a,2),5577(a,1))]. given #5222 (H,wt=22): 5766 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(213,a,5761,a)]. given #5223 (H,wt=17): 5827 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(68,a,5719,a(flip),b,5766,a(flip)),flip(a)]. given #5224 (H,wt=17): 5828 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5265(a,1),5827(a,1,1))]. given #5225 (H,wt=22): 5810 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5174(a,1),5134(a,1,1,1))]. given #5226 (H,wt=22): 5811 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(199,a,5759,a(flip),b,5301,a(flip)),flip(a)]. given #5227 (H,wt=22): 5812 K(x / (y \ 1),1 / z) != u | K(x / (1 / y),1 / z) = u. [para(3385(a,2),5324(a,1))]. given #5228 (H,wt=22): 5829 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(199,a,4250,a(flip),b,5810,a)]. given #5229 (H,wt=23): 4782 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4605(a,1),2187(a,1,2,1))]. given #5230 (H,wt=23): 4786 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(92(a,1),4622(a,1,2))]. given #5231 (H,wt=23): 4798 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(101(a,1),4624(a,1,1))]. given #5232 (H,wt=23): 4815 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(835(a,1),4640(a,2,1)),flip(a)]. given #5233 (H,wt=23): 4822 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4645(a,2),403(a,1,2,2))]. given #5234 (H,wt=23): 4826 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4662(a,1),4445(a,1,2)),flip(a)]. given #5235 (H,wt=19): 5832 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4695(a,1),4826(a,1,2)),flip(a)]. given #5236 (H,wt=23): 4978 (T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = K(R(x,y,z),u). [para(101(a,1),4636(a,1,2))]. given #5237 (H,wt=20): 5834 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [para(431(a,1),4978(a,1,1))]. given #5238 (H,wt=15): 5835 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(199,a,4979,a(flip),b,5834,a(flip)),flip(a)]. given #5239 (H,wt=15): 5836 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(14(a,1),5835(a,1,2)),flip(a)]. given #5240 (H,wt=12): 5839 K(R(x,x \ 1,y),z) = K(x,z). [hyper(199,a,293,a(flip),b,5836,a)]. given #5241 (H,wt=17): 5842 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(199,a,5672,a(flip),b,5839,a)]. given #5242 (H,wt=18): 5841 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(99(a,1),5836(a,1,1))]. given #5243 (H,wt=18): 5843 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(63(a,1),5841(a,1,1,2,1)),flip(a)]. given #5244 (H,wt=18): 5844 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),5843(a,2,1,2))]. given #5245 (H,wt=15): 5845 K((x * y) / z,x) = K(x / (z / y),x). [hyper(199,a,5721,a(flip),b,5844,a(flip))]. given #5246 (H,wt=15): 5846 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(199,a,4991,a(flip),b,5845,a)]. given #5247 (H,wt=18): 5847 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(5845(a,2),4992(a,1))]. given #5248 (H,wt=20): 5840 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(5836(a,2),101(a,1,1))]. given #5249 (H,wt=21): 5837 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(5835(a,1),46(a,1,1)),flip(a)]. given #5250 (H,wt=23): 5050 T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4676(a,1),3975(a,1,2))]. given #5251 (H,wt=19): 5848 T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4699(a,1),5050(a,1,1))]. given #5252 (H,wt=15): 5849 T(x,y) / (T(x,y) * y) = x / (x * y). [para(4662(a,1),5848(a,2,2))]. given #5253 (H,wt=15): 5850 (x / (x * y)) \ T(x,y) = T(x,y) * y. [para(5849(a,1),63(a,1,1))]. given #5254 (H,wt=23): 5063 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(4843(a,1),163(a,1,2,1))]. given #5255 (H,wt=21): 5851 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(199,a,5262,a(flip),b,5063,a)]. given #5256 (H,wt=23): 5102 (x * y) \ (K(x,z) * u) != w | L(y \ (T(x,z) \ u),y,x) = w. [para(4971(a,1),508(a,1,2))]. given #5257 (H,wt=23): 5157 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5138(a,1),28(a,2,2,2)),flip(a)]. given #5258 (H,wt=23): 5165 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(69,a,783,a(flip),b,4629,a)]. given #5259 (H,wt=23): 5332 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(199,a,5187,a,b,5208,a)]. given #5260 (H,wt=23): 5426 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(784(a,1),4878(a,1,2))]. given #5261 (H,wt=23): 5428 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(922,a,4884,a),flip(a)]. given #5262 (H,wt=21): 5854 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(105(a,1),5428(a,2,2))]. given #5263 (H,wt=23): 5435 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(3935(a,2),4884(a,2,2,1,1))]. given #5264 (H,wt=21): 5855 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(199,a,1626,a(flip),b,5435,a(flip))]. given #5265 (H,wt=23): 5441 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [hyper(69,a,784,a(flip),b,4885,a)]. given #5266 (H,wt=23): 5477 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(199,a,5295,a,b,5110,a),flip(a)]. given #5267 (H,wt=23): 5493 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4371(a,1),5182(a,1,1,1))]. given #5268 (H,wt=23): 5507 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(4884(a,2),5232(a,1,2,1))]. given #5269 (H,wt=23): 5509 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5225(a,1),5233(a,1,1,1))]. given #5270 (H,wt=23): 5548 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4809(a,2),4039(a,1,1))]. given #5271 (H,wt=23): 5576 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5573(a,1),5570(a,1,1)),flip(a)]. given #5272 (H,wt=23): 5608 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(799(a,1),4887(a,1,2))]. given #5273 (H,wt=23): 5614 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(1931(a,1),5196(a,1,1))]. given #5274 (H,wt=23): 5629 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4575(a,1),5500(a,1,2,1)),flip(a)]. given #5275 (H,wt=23): 5640 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(63(a,1),5609(a,1,2,1,1))]. given #5276 (H,wt=19): 5859 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(63(a,1),5640(a,2,1,1))]. given #5277 (H,wt=19): 5860 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),5859(a,1,2,2)),flip(a)]. given #5278 (H,wt=23): 5641 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3085(a,1),5609(a,1,2,1))]. given #5279 (H,wt=19): 5864 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3085(a,1),5641(a,2,1))]. given #5280 (H,wt=19): 5866 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),5864(a,1,2,2)),flip(a)]. given #5281 (H,wt=23): 5643 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(4912(a,1),5624(a,1,2,2,1,1,2))]. given #5282 (H,wt=23): 5663 R(x,y,z) \ R(x * K(u,x),y,z) != w | K(u,R(x,y,z)) = w. [para(5405(a,1),254(a,1,2)),flip(b)]. given #5283 (H,wt=23): 5670 R(x,y,z) * K(u,R(x,y,z)) != w | R(x * K(u,x),y,z) = w. [para(5413(a,1),211(a,1,2)),flip(b)]. given #5284 (H,wt=23): 5693 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(4050,a,5002,a(flip)),flip(a)]. given #5285 (H,wt=23): 5694 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(4051,a,5003,a(flip)),flip(a)]. given #5286 (H,wt=23): 5697 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3381(a,1),5695(a,1,1,2)),flip(a)]. given #5287 (H,wt=19): 5874 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3381(a,1),5697(a,1,2)),flip(a)]. given #5288 (H,wt=23): 5746 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3618(a,1),5427(a,1,2)),flip(a)]. given #5289 (H,wt=23): 5754 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(5511(a,1),5501(a,1,2,2))]. given #5290 (H,wt=23): 5768 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4884(a,1),5588(a,1,1))]. given #5291 (H,wt=23): 5770 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(799(a,1),5589(a,1,2)),flip(a)]. given #5292 (H,wt=23): 5786 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(69,a,5690,a(flip),b,2648,a)]. given #5293 (H,wt=23): 5831 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1686,a,4798,a),flip(a)]. given #5294 (H,wt=22): 5878 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4922(a,1),5831(a,1,2)),flip(a)]. given #5295 (H,wt=20): 5879 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(199,a,4789,a(flip),b,5878,a)]. given #5296 (H,wt=23): 5838 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4016(a,1),5835(a,1,2)),flip(a)]. given #5297 (H,wt=23): 5852 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(5851(a,1),3198(a,1,2))]. given #5298 (H,wt=23): 5853 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(4948(a,1),5165(a,1,1,2)),flip(a)]. given #5299 (H,wt=23): 5867 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),5864(a,1,2,2))]. given #5300 (H,wt=23): 5869 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(105(a,1),5866(a,2,2))]. given #5301 (H,wt=23): 5870 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(4884(a,2),5643(a,1,2))]. given #5302 (H,wt=23): 5871 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5431(a,1),5643(a,1,2)),flip(a)]. given #5303 (H,wt=23): 5882 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(5852(a,1),4490(a,1,2))]. given #5304 (H,wt=23): 5883 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(73,a,5870,a)]. given #5305 (H,wt=23): 5886 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(5883(a,1),4398(a,1,1))]. given #5306 (H,wt=23): 5887 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),5886(a,1,1,2,1)),flip(a)]. given #5307 (H,wt=24): 4564 L(x * K(y \ 1,y),z,u) != L(x,z,u) * w | K(y \ 1,y) = w. [para(4563(a,2),19(a,1))]. given #5308 (H,wt=24): 4812 (x * y) * K(T(y,x),x * y) != z | T(y,x * y) * T(x,y) = z. [para(4624(a,1),4151(a,1))]. given #5309 (H,wt=24): 5026 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5008(a,1),271(a,1,1,3))]. given #5310 (H,wt=24): 5038 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5014(a,1),101(a,1,2))]. given #5311 (H,wt=24): 5067 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(4851(a,1),28(a,2,1)),flip(a)]. given #5312 (H,wt=24): 5072 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(4892(a,1),30(a,2,2)),flip(a)]. given #5313 (H,wt=24): 5145 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3601(a,2),5019(a,1,2)),flip(b)]. given #5314 (H,wt=24): 5150 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(169(a,1),5054(a,1,2))]. given #5315 (H,wt=24): 5300 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5298(a,1),92(a,1,1))]. given #5316 (H,wt=24): 5308 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5095(a,1),101(a,2,1))]. given #5317 (H,wt=22): 5890 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5727(a,1),5308(a,1,1))]. given #5318 (H,wt=24): 5364 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3705(a,2),5066(a,1))]. given #5319 (H,wt=24): 5467 T(T(1 / ((x * y) \ x),z),y) != u | T(1 / ((x * y) \ x),z) = u. [para(5068(a,1),339(a,1,1,1))]. given #5320 (H,wt=24): 5533 K(x,x \ y) * ((x \ y) * z) != u * w | ((y / x) * z) / w = u. [para(5464(a,1),324(a,1,2))]. given #5321 (H,wt=24): 5553 L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1. [para(5260(a,1),4918(a,1,1))]. given #5322 (H,wt=24): 5558 K(x,x \ y) * ((y / x) \ z) != u * w | u \ ((x \ y) \ z) = w. [para(5123(a,1),5024(a,1,2))]. given #5323 (H,wt=24): 5559 K(x \ y,x) * ((x \ y) \ z) != u * w | u \ ((y / x) \ z) = w. [para(5126(a,1),5024(a,1,2))]. given #5324 (H,wt=24): 5566 T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. [para(40(a,2),5359(a,1,2))]. given #5325 (H,wt=24): 5661 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(1399(a,1),5354(a,1,2))]. given #5326 (H,wt=24): 5743 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(5734(a,1),42(a,2,1))]. given #5327 (H,wt=24): 5763 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(68,a,4737,a(flip),b,5759,a(flip))]. given #5328 (H,wt=24): 5789 K(x \ R(x,y,z),x) != (x \ 1) * u | T(x,R(x \ 1,w,v5)) = u. [para(5758(a,2),19(a,1))]. given #5329 (H,wt=24): 5803 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(5799(a,1),5711(a,1,1,2))]. given #5330 (H,wt=24): 5856 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(5855(a,1),19(a,1))]. given #5331 (H,wt=24): 5880 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),5879(a,1,1,1)),flip(a)]. given #5332 (H,wt=20): 5892 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4043(a,1),5880(a,1,1)),flip(a)]. given #5333 (H,wt=18): 5893 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(199,a,1141,a(flip),b,5892,a)]. given #5334 (H,wt=16): 5894 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(18,a,4813,a,b,5893,a)]. given #5335 (H,wt=16): 5895 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(199,a,5315,a,b,5894,a)]. given #5336 (H,wt=17): 5896 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4031(a,1),5895(a,1,2))]. given #5337 (H,wt=17): 5897 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(5896(a,1),63(a,1,1))]. given #5338 (H,wt=17): 5898 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5315(a,1),5897(a,1,1))]. given #5339 (H,wt=17): 5899 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4624(a,2),5898(a,1,1,2))]. given #5340 (H,wt=24): 5889 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5014(a,1),5067(a,1,2,2)),flip(a)]. given #5341 (H,wt=24): 5891 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(5746(a,2),5661(a,1))]. given #5342 (H,wt=25): 4547 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4531(a,2),4257(a,1,2))]. given #5343 (H,wt=25): 4558 (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. [para(4553(a,1),218(a,1,2))]. given #5344 (H,wt=25): 4787 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(4622(a,1),403(a,1,1))]. given #5345 (H,wt=25): 4893 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(4617(a,1),403(a,1,2,2))]. given #5346 (H,wt=25): 4945 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(915(a,1),4925(a,1,2))]. given #5347 (H,wt=25): 5004 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(4669(a,1),436(a,1,1,1))]. given #5348 (H,wt=25): 5060 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(697(a,1),4840(a,2,2))]. given #5349 (H,wt=25): 5135 L(1 / (x \ y),x \ y,x) != z | (y \ x) * K(x \ y,y \ x) = z. [para(682(a,1),4825(a,1))]. given #5350 (H,wt=25): 5368 L(T(x,y),z,u) \ (L(x,z,u) * w) != v5 | K(y,L(x,z,u)) * w = v5. [para(40(a,2),5100(a,1,1))]. given #5351 (H,wt=25): 5541 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(68,a,5538,a(flip),b,928,a),flip(a)]. given #5352 (H,wt=25): 5613 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1074(a,1),5196(a,1,1))]. given #5353 (H,wt=21): 5901 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),5613(a,1,1,2,2,1))]. given #5354 (H,wt=19): 5902 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(199,a,5235,a(flip),b,5901,a)]. given #5355 (H,wt=25): 5644 ((x / y) * z) * (z / ((x / y) * z)) = z * K(y / x,(x / y) * z). [para(5442(a,1),5625(a,2,2))]. given #5356 (H,wt=25): 5728 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(126(a,1),5718(a,1,2,2)),flip(a)]. given #5357 (H,wt=25): 5749 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(5440(a,1),5286(a,1,2)),flip(a)]. given #5358 (H,wt=25): 5780 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(5779(a,1),5129(a,1,2,1)),flip(a)]. given #5359 (H,wt=23): 5905 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(199,a,5131,a(flip),b,5780,a(flip)),flip(a)]. given #5360 (H,wt=21): 5906 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(199,a,4091,a(flip),b,5905,a)]. given #5361 (H,wt=17): 5908 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(199,a,4276,a(flip),b,5906,a)]. given #5362 (H,wt=25): 5790 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(846(a,1),5769(a,1,2)),flip(a)]. given #5363 (H,wt=25): 5809 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(4999(a,1),5020(a,1,2))]. given #5364 (H,wt=25): 5817 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5816(a,1),44(a,1,1)),flip(a)]. given #5365 (H,wt=25): 5833 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1529(a,1),5832(a,2,2))]. given #5366 (H,wt=21): 5910 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4598(a,2),5833(a,1,2)),flip(a)]. given #5367 (H,wt=19): 5911 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(199,a,4679,a(flip),b,5910,a)]. given #5368 (H,wt=17): 5912 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3168(a,1),5911(a,1,2))]. given #5369 (H,wt=17): 5913 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(5912(a,1),63(a,1,1))]. given #5370 (H,wt=25): 5857 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1397(a,1),5441(a,1,1))]. given #5371 (H,wt=25): 5858 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(752(a,1),5614(a,1,1,1))]. given #5372 (H,wt=21): 5914 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(4959(a,1),5858(a,1,1,1)),flip(a)]. given #5373 (H,wt=21): 5915 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(199,a,4379,a(flip),b,5914,a)]. given #5374 (H,wt=19): 5916 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(199,a,5235,a(flip),b,5915,a(flip)),flip(a)]. given #5375 (H,wt=19): 5917 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4150(a,1),5916(a,1,2))]. given #5376 (H,wt=25): 5862 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(68,a,5860,a,b,105,a)]. given #5377 (H,wt=20): 5918 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(663,a,5862,a)]. given #5378 (H,wt=24): 5919 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(5918(a,1),5596(a,1,1,1)),flip(a)]. given #5379 (H,wt=20): 5920 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(199,a,5418,a(flip),b,5919,a)]. given #5380 (H,wt=25): 5881 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(5852(a,1),3553(a,1,1)),flip(a)]. given #5381 (H,wt=25): 5900 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(930(a,1),5541(a,1,2))]. given #5382 (H,wt=25): 5909 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(199,a,44,a(flip),b,5817,a)]. given #5383 (H,wt=26): 4808 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1455(a,1),4624(a,1,1))]. given #5384 (H,wt=20): 5922 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4808(a,1),672(a,2,1)),flip(a)]. given #5385 (H,wt=22): 5923 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5234,a,5922,a)]. given #5386 (H,wt=26): 4810 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1680(a,1),4624(a,1,1))]. given #5387 (H,wt=26): 4889 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4600(a,1),2142(a,2,1,2))]. given #5388 (H,wt=24): 5925 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(105(a,1),4889(a,1,2))]. given #5389 (H,wt=21): 5927 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(4558,a,5925,a)]. given #5390 (H,wt=19): 5928 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(4891(a,1),5927(a,1,2)),flip(a)]. given #5391 (H,wt=10): 5929 R(x,K(y \ 1,z),z) = x. [hyper(2988,a,5928,a)]. given #5392 (H,wt=8): 5930 R(x,K(y,z),z) = x. [para(63(a,1),5929(a,1,2,1))]. given #5393 (H,wt=8): 5932 R(x,K(y,z),y) = x. [para(4738(a,1),5930(a,1,2))]. given #5394 (H,wt=11): 5933 R(x,R(K(y,z),u,w),y) = x. [para(5706(a,1),5932(a,1,2))]. given #5395 (H,wt=15): 5931 (x * K(y,z)) * z = x * (z * K(y,z)). [para(5930(a,1),2987(a,1,1)),flip(a)]. given #5396 (H,wt=13): 5935 (x * K(y,z)) * z = x * T(z,y). [para(4685(a,2),5931(a,2,2))]. given #5397 (H,wt=13): 5936 (x / T(y,z)) * K(z,y) = x / y. [hyper(69,a,16,a(flip),b,5935,a),flip(a)]. given #5398 (H,wt=13): 5937 (x * y) * K(z,y) = x * T(y,z). [hyper(18,a,1103,a,b,5935,a)]. given #5399 (H,wt=13): 5939 (x * K(y,z)) * y = x * T(y,z). [para(4738(a,1),5935(a,1,1,2))]. given #5400 (H,wt=13): 5941 (x / T(y,z)) * K(y,z) = x / y. [hyper(199,a,4745,a,b,5936,a(flip)),flip(a)]. given #5401 (H,wt=13): 5945 (x / y) * K(x,y) = T(x,y) / y. [para(1132(a,1),5936(a,1,1))]. given #5402 (H,wt=13): 5948 (x * y) * K(y,z) = x * T(y,z). [hyper(199,a,4745,a,b,5937,a(flip)),flip(a)]. given #5403 (H,wt=8): 5973 R(x,y,K(y,z)) = x. [hyper(4715,a,5948,a)]. given #5404 (H,wt=10): 5974 L(K(x,y),x,z) = K(x,y). [hyper(4714,a,5948,a)]. given #5405 (H,wt=8): 5995 a(x,y,K(y,z)) = 1. [hyper(34,a,5974,a)]. given #5406 (H,wt=8): 6000 a(x,y,K(z,y)) = 1. [para(4738(a,1),5995(a,1,3))]. given #5407 (H,wt=10): 6001 L(K(x,y),y,z) = K(x,y). [hyper(33,a,6000,a)]. given #5408 (H,wt=13): 5949 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(68,a,5937,a(flip),b,4745,a)]. given #5409 (H,wt=13): 5957 (x * T(y,z)) / y = x * K(y,z). [hyper(79,a,5939,a)]. given #5410 (H,wt=13): 5958 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(73,a,5939,a)]. given #5411 (H,wt=8): 6011 L(x,K(x,y),z) = x. [hyper(4732,a,5958,a)]. given #5412 (H,wt=8): 6016 L(x,K(y,x),z) = x. [para(4738(a,1),6011(a,1,2))]. given #5413 (H,wt=12): 6012 L(T(x,y),K(x,z),u) = T(x,y). [para(6011(a,1),40(a,2,1))]. given #5414 (H,wt=13): 5959 (1 / x) * K(x,y) = K(x,y) / x. [hyper(69,a,4643,a,b,5939,a),flip(a)]. given #5415 (H,wt=13): 5960 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,1108,a,b,5939,a),flip(a)]. given #5416 (H,wt=13): 5961 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(18,a,4124,a(flip),b,5939,a)]. given #5417 (H,wt=13): 5980 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(68,a,16,a(flip),b,5948,a)]. given #5418 (H,wt=13): 5994 R(K(x,y),x,z) = L(K(x,y),x,u). [hyper(199,a,3849,a,b,5974,a),flip(a)]. given #5419 (H,wt=13): 6005 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(199,a,5575,a(flip),b,6001,a(flip)),flip(a)]. given #5420 (H,wt=13): 6022 T(x,(x / y) / x) = T(x,1 / y). [hyper(154,a,5110,a(flip),b,5960,a)]. given #5421 (H,wt=13): 6027 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(73,a,5961,a),flip(a)]. given #5422 (H,wt=13): 6028 L(K(x,y),x,z) != u | K(x,y) = u. [para(5994(a,1),4127(a,1))]. given #5423 (H,wt=13): 6029 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5188,a,6005,a)]. given #5424 (H,wt=13): 6030 K((x \ y) \ 1,z) = K(z,y \ x). [hyper(4862,a,6005,a)]. given #5425 (H,wt=13): 6032 K(x,(y \ z) \ 1) = K(z \ y,x). [hyper(199,a,4738,a,b,6005,a)]. given #5426 (H,wt=13): 6034 T(K(x,y / z),y) = K(x,z \ y). [hyper(199,a,5649,a,b,6005,a(flip)),flip(a)]. given #5427 (H,wt=13): 6035 K(x,(y * z) \ y) = K(x,z \ 1). [para(13(a,1),6005(a,1,2,1)),flip(a)]. given #5428 (H,wt=13): 6036 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),6005(a,2,2))]. given #5429 (H,wt=13): 6051 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(199,a,4738,a,b,6030,a)]. given #5430 (H,wt=13): 6056 K(x,(y \ z) \ z) = T(K(x,y),z). [para(60(a,1),6034(a,1,1,2)),flip(a)]. given #5431 (H,wt=13): 6066 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(199,a,574,a(flip),b,6051,a)]. given #5432 (H,wt=13): 6067 T(K(x / y,z),x) = K(y \ x,z). [hyper(199,a,5433,a,b,6051,a(flip)),flip(a)]. given #5433 (H,wt=13): 6069 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(199,a,5436,a(flip),b,6051,a(flip))]. given #5434 (H,wt=13): 6084 K(x,T(y,y \ z)) = T(K(x,y),z). [para(106(a,2),6056(a,1,2))]. given #5435 (H,wt=13): 6085 K(x,T(y,z / y)) = T(K(x,y),z). [para(3963(a,2),6056(a,1,2))]. given #5436 (H,wt=13): 6086 T(K(x,y),z * y) = K(x,T(y,z)). [para(3953(a,2),6056(a,1,2)),flip(a)]. given #5437 (H,wt=13): 6094 T(K(x \ y,z),y) = K(y / x,z). [para(6067(a,1),47(a,1,1))]. given #5438 (H,wt=13): 6098 K(T(x,x \ y),z) = T(K(x,z),y). [para(106(a,2),6069(a,1,1))]. given #5439 (H,wt=13): 6099 T(K(x,y),y * z) = K(x,T(y,z)). [para(13(a,1),6084(a,1,2,2)),flip(a)]. given #5440 (H,wt=14): 6003 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(199,a,4832,a,b,6001,a)]. given #5441 (H,wt=14): 6060 K(x,L(y \ 1,y,z)) = K(x,y \ 1). [para(145(a,2),6035(a,1,2))]. given #5442 (H,wt=15): 5944 (x / ((y * z) / y)) * K(y,z) = x / z. [para(185(a,1),5936(a,1,1,2))]. given #5443 (H,wt=15): 5947 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(199,a,5935,a,b,5937,a),flip(a)]. given #5444 (H,wt=15): 5952 (x * y) * K(z,y) = x * (y * K(z,y)). [para(4685(a,1),5937(a,2,2))]. given #5445 (H,wt=15): 5954 x * T(y * K(x,z),x) = y * T(x,z). [hyper(216,a,5939,a)]. given #5446 (H,wt=15): 5956 x \ (y * T(x,z)) = T(y * K(x,z),x). [hyper(154,a,5939,a,b,14,a),flip(a)]. given #5447 (H,wt=15): 5967 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4617(a,1),5939(a,1,1))]. given #5448 (H,wt=15): 5969 (x * T(y,z)) * z = (x * y) * T(z,y). [para(5937(a,1),5939(a,1,1))]. given #5449 (H,wt=15): 5975 x \ (y * K(x \ y,z)) = T(x \ y,z). [hyper(522,a,5948,a)]. given #5450 (H,wt=15): 5976 x * T(x \ y,z) = y * K(x \ y,z). [hyper(474,a,5948,a),flip(a)]. given #5451 (H,wt=15): 6023 (x * T(y,z)) / T(z,y) = (x * y) / z. [hyper(69,a,5937,a(flip),b,5960,a)]. given #5452 (H,wt=15): 6026 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(68,a,5960,a(flip),b,5939,a)]. given #5453 (H,wt=15): 6041 T(x,(y \ z) \ 1) = x * K(x,z \ y). [para(6005(a,1),4652(a,2,2))]. given #5454 (H,wt=13): 6132 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(199,a,4652,a,b,6041,a)]. given #5455 (H,wt=13): 6138 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),6132(a,1,2,1)),flip(a)]. given #5456 (H,wt=13): 6139 T(x,((y * z) \ y) \ 1) = T(x,z). [para(13(a,1),6132(a,2,2))]. given #5457 (H,wt=14): 6146 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(145(a,2),6139(a,1,2,1))]. given #5458 (H,wt=15): 6058 K(x,(y * (z / u)) \ y) = K(x,u / z). [hyper(199,a,5235,a(flip),b,6035,a)]. given #5459 (H,wt=15): 6095 K(x / y,z) * x = x * K(y \ x,z). [para(6067(a,1),105(a,1,2)),flip(a)]. given #5460 (H,wt=15): 6096 K(x \ y,z) * y = y * K(y / x,z). [para(6067(a,1),166(a,1,1))]. given #5461 (H,wt=15): 6100 K(x / y,x / z) = K(y \ x,z \ x). [hyper(199,a,6034,a(flip),b,6094,a(flip))]. given #5462 (H,wt=15): 6104 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(199,a,6086,a,b,6099,a),flip(a)]. given #5463 (H,wt=15): 6141 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(32(a,2),6132(a,1,2,1))]. given #5464 (H,wt=15): 6149 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(199,a,5622,a,b,6146,a(flip)),flip(a)]. given #5465 (H,wt=15): 6150 K(x,y \ T(z,z \ y)) = K(x,z / y). [para(5522(a,1),6058(a,1,2))]. given #5466 (H,wt=16): 5938 (x * K(y,z)) * z != u * T(z,y) | u = x. [para(5935(a,2),20(a,2)),flip(a)]. given #5467 (H,wt=16): 5942 x / y != z * K(u,y) | x / T(y,u) = z. [para(5936(a,1),20(a,1))]. given #5468 (H,wt=16): 5962 x * T(y,z) != u * y | x * K(y,z) = u. [para(5939(a,1),20(a,1))]. given #5469 (H,wt=16): 5971 (x / y) / K(y,z) != u | x / T(y,z) = u. [para(5941(a,1),262(a,1,1)),flip(b)]. given #5470 (H,wt=16): 5996 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(5974(a,1),44(a,1,1)),flip(a)]. given #5471 (H,wt=16): 6006 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6001(a,1),45(a,1,1)),flip(a)]. given #5472 (H,wt=16): 6007 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5949(a,1),211(a,1,2)),flip(b)]. given #5473 (H,wt=16): 6010 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(5957(a,1),207(a,1,1)),flip(b)]. given #5474 (H,wt=16): 6050 K(x,y \ z) != u | K(x,(z \ y) \ 1) = u. [para(6029(a,1),4987(a,1))]. given #5475 (H,wt=16): 6053 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(6030(a,2),4862(a,1))]. given #5476 (H,wt=16): 6054 K(x \ y,z) != u | K((y \ x) \ 1,z) = u. [para(6032(a,1),4862(a,1))]. given #5477 (H,wt=16): 6055 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6032(a,2),4862(a,1))]. given #5478 (H,wt=16): 6097 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(6067(a,1),338(a,1,1)),flip(b)]. given #5479 (H,wt=16): 6102 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(6094(a,1),338(a,1,1)),flip(b)]. given #5480 (H,wt=16): 6135 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6041(a,2),4655(a,1))]. given #5481 (H,wt=16): 6145 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6138(a,2),2057(a,1))]. given #5482 (H,wt=16): 6157 x * K(y,z) != u | (x / y) * T(y,z) = u. [para(16(a,1),6007(a,1,1))]. given #5483 (H,wt=16): 6161 T(K(x,y),z) != u | K((x \ z) \ z,y) = u. [para(5436(a,1),6053(a,1))]. given #5484 (H,wt=16): 6164 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3385(a,2),6055(a,1))]. given #5485 (H,wt=16): 6166 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(5649(a,2),6055(a,1))]. given #5486 (H,wt=17): 5943 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(170(a,1),5936(a,1,1,2))]. given #5487 (H,wt=17): 5950 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(170(a,1),5937(a,2,2))]. given #5488 (H,wt=17): 5970 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(107(a,1),5941(a,1,1,2))]. given #5489 (H,wt=17): 5979 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(154,a,5948,a,b,14,a),flip(a)]. given #5490 (H,wt=15): 6173 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(199,a,4998,a(flip),b,5979,a(flip))]. given #5491 (H,wt=15): 6174 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(5284,a,6173,a)]. given #5492 (H,wt=15): 6175 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(16(a,1),6173(a,1,1)),flip(a)]. given #5493 (H,wt=15): 6179 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(73,a,6175,a)]. given #5494 (H,wt=17): 6042 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5008(a,1),6005(a,1,2,1))]. given #5495 (H,wt=17): 6043 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5008(a,1),6005(a,2,2))]. given #5496 (H,wt=17): 6045 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6005(a,1),5615(a,1,2))]. given #5497 (H,wt=17): 6077 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5008(a,1),6051(a,1,1,1))]. given #5498 (H,wt=17): 6080 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6051(a,1),5430(a,2,2))]. given #5499 (H,wt=17): 6081 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6051(a,1),5624(a,1,2,2))]. given #5500 (H,wt=17): 6093 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(3057,a,6067,a)]. given #5501 (H,wt=17): 6105 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(199,a,6094,a(flip),b,6099,a(flip))]. given #5502 (H,wt=17): 6106 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6099(a,1),105(a,1,2))]. given #5503 (H,wt=17): 6114 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(5952(a,1),5939(a,1,1))]. given #5504 (H,wt=17): 6118 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(185(a,1),5969(a,1,1,2))]. given #5505 (H,wt=17): 6152 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6141(a,2),181(a,1,2))]. given #5506 (H,wt=17): 6169 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(268,a,5950,a),flip(a)]. given #5507 (H,wt=17): 6186 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(199,a,5846,a(flip),b,6105,a)]. given #5508 (H,wt=18): 5965 x * T(y,z) != y * u | T(x * K(y,z),y) = u. [para(5939(a,1),155(a,2)),flip(a)]. given #5509 (H,wt=18): 5966 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(5939(a,1),255(a,1,2))]. given #5510 (H,wt=18): 5982 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(5948(a,1),474(a,1))]. given #5511 (H,wt=18): 5984 (1 / x) * T(x,y) != z * u | K(x,y) / u = z. [para(5948(a,1),490(a,1))]. given #5512 (H,wt=18): 6002 L(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(199,a,5235,a,b,6001,a)]. given #5513 (H,wt=16): 6190 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(6002(a,1),3860(a,1)),flip(b)]. given #5514 (H,wt=18): 6014 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6011(a,1),4551(a,1,1,2)),flip(a)]. given #5515 (H,wt=14): 6194 L(x * y,K(y * x,z),u) = x * y. [para(13(a,1),6014(a,2,1))]. given #5516 (H,wt=18): 6021 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6012(a,1),45(a,1,1)),flip(a)]. given #5517 (H,wt=18): 6031 L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 1). [hyper(199,a,6001,a,b,6005,a),flip(a)]. given #5518 (H,wt=18): 6101 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(6094(a,1),256(a,1,2,2))]. given #5519 (H,wt=18): 6107 x / y != z * K(u,y) | x / ((u * y) / u) = z. [para(5944(a,1),20(a,1))]. given #5520 (H,wt=18): 6112 (x * K(y,z)) * z != (x * z) * u | K(y,z) = u. [para(5947(a,2),19(a,1))]. given #5521 (H,wt=18): 6115 ((x * T(y,z)) * z) / (z * y) = R(x,y,T(z,y)). [hyper(69,a,5969,a,b,434,a)]. given #5522 (H,wt=13): 6197 R(x,T(y,z),z) = R(x,y,T(z,y)). [hyper(726,a,6115,a)]. given #5523 (H,wt=15): 6200 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [para(4685(a,1),6197(a,1,2))]. given #5524 (H,wt=16): 6198 R(x,y,T(z,y)) != u | R(x,T(y,z),z) = u. [para(6115(a,1),726(a,1))]. given #5525 (H,wt=17): 6199 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(170(a,1),6197(a,1,2)),flip(a)]. given #5526 (H,wt=18): 6124 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5976(a,2),254(a,1,2)),flip(b)]. given #5527 (H,wt=18): 6130 ((x * y) * z) / (y * z) = R(x,y,T(z,y * z)). [hyper(1116,a,6023,a),flip(a)]. given #5528 (H,wt=16): 6203 R(x,y,T(z,y * z)) != u | R(x,y,z) = u. [para(6130(a,1),436(a,1))]. given #5529 (H,wt=13): 6204 K(x,y) != z | R(K(x,y),x,u) = z. [para(3849(a,1),6203(a,1))]. given #5530 (H,wt=13): 6205 K(x,y) != z | R(K(x,y),y,u) = z. [para(5721(a,1),6203(a,1))]. given #5531 (H,wt=18): 6131 (x * K(y,z)) / y != u | (x / y) * K(y,z) = u. [para(6026(a,1),261(a,1,2)),flip(b)]. given #5532 (H,wt=18): 6143 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6132(a,1),352(a,1))]. given #5533 (H,wt=18): 6160 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(32(a,2),6053(a,1,1,1))]. given #5534 (H,wt=15): 6207 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(6160,a,5419,a)]. given #5535 (H,wt=18): 6167 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6069(a,2),6097(a,1))]. given #5536 (H,wt=16): 6208 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(3917(a,2),6167(a,1,1))]. given #5537 (H,wt=18): 6176 x * T(y,T(x,z)) != u | T(y * x,K(z,x)) = u. [para(6173(a,1),5284(a,1))]. given #5538 (H,wt=18): 6177 T(x * y,K(z,y)) != y * u | T(x,T(y,z)) = u. [para(6174(a,2),19(a,1))]. given #5539 (H,wt=18): 6178 x * T(y,T(x,z)) != u | T(y * x,K(x,z)) = u. [para(6174(a,1),5284(a,1))]. given #5540 (H,wt=18): 6193 K(x,(y * (z / u)) \ y) != w | K(x,u / z) = w. [para(6035(a,2),6190(a,1))]. given #5541 (H,wt=18): 6209 K(x,(y * z) \ z) != u | K(x,z / (z * y)) = u. [para(194(a,1),6193(a,1,2,1))]. given #5542 (H,wt=19): 5940 (x / y) / K(z,T(y,x)) = T(x,y) / T(T(y,x),z). [hyper(69,a,1132,a(flip),b,5936,a)]. given #5543 (H,wt=19): 5972 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5381,a,5945,a)]. given #5544 (H,wt=16): 6210 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5156(a,1),5972(a,1,2))]. given #5545 (H,wt=19): 5989 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4622(a,1),5948(a,1,1)),flip(a)]. given #5546 (H,wt=19): 5997 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(5974(a,1),465(a,1,2,1))]. given #5547 (H,wt=19): 6017 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6016(a,1),396(a,1,2,1))]. given #5548 (H,wt=10): 6213 R(x,K(y,z),T(z,u)) = x. [hyper(427,a,6017,a)]. given #5549 (H,wt=13): 6214 (x * K(y,z)) * T(z,y) = x * z. [para(4618(a,1),6017(a,2,2))]. given #5550 (H,wt=11): 6215 (x * K(y,z)) * K(z,y) = x. [hyper(5962,a,6214,a)]. given #5551 (H,wt=11): 6222 (x * K(y,z)) * K(y,z) = x. [hyper(18,a,5935,a(flip),b,6214,a)]. given #5552 (H,wt=11): 6228 x / K(y,z) = x * K(z,y). [hyper(268,a,6215,a),flip(a)]. given #5553 (H,wt=11): 6232 (x * K(y,z)) \ x = K(z,y). [hyper(73,a,6215,a)]. given #5554 (H,wt=11): 6241 x / K(y,z) = x * K(y,z). [hyper(69,a,6215,a(flip),b,4745,a)]. given #5555 (H,wt=11): 6242 (x * K(y,z)) \ x = K(y,z). [hyper(68,a,6215,a(flip),b,4745,a)]. given #5556 (H,wt=12): 6266 K(x,y) != z | 1 / K(y,x) = z. [para(6232(a,1),142(a,1)),flip(b)]. given #5557 (H,wt=13): 6216 (x / T(y,z)) * y = x * K(z,y). [hyper(1122,a,6214,a)]. given #5558 (H,wt=13): 6217 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(73,a,6214,a)]. given #5559 (H,wt=13): 6218 (x / y) * K(z,y) = x / T(y,z). [hyper(69,a,16,a(flip),b,6214,a),flip(a)]. given #5560 (H,wt=13): 6220 (x \ y) * K(y,x) = x \ T(y,x). [hyper(18,a,4124,a,b,6214,a)]. given #5561 (H,wt=13): 6223 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(18,a,5681,a(flip),b,6214,a)]. given #5562 (H,wt=13): 6224 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,1103,a(flip),b,6214,a)]. given #5563 (H,wt=13): 6235 (x / y) * K(y,z) = x / T(y,z). [hyper(18,a,5936,a,b,6215,a)]. given #5564 (H,wt=13): 6240 (x * K(y,z)) / z = x / T(z,y). [hyper(69,a,6215,a(flip),b,5960,a),flip(a)]. given #5565 (H,wt=13): 6252 (x * K(y,z)) / y = x / T(y,z). [hyper(69,a,6222,a(flip),b,5960,a),flip(a)]. given #5566 (H,wt=13): 6255 (x * y) / K(z,y) = x * T(y,z). [hyper(199,a,5948,a(flip),b,6228,a)]. given #5567 (H,wt=13): 6261 x / (K(y,z) \ 1) = x * K(y,z). [para(4912(a,2),6228(a,1,2))]. given #5568 (H,wt=13): 6281 (x * K(y,z)) \ (x * y) = T(y,z). [para(4738(a,1),6217(a,1,1,2))]. given #5569 (H,wt=14): 6243 x * K(y,z) != u | u * K(z,y) = x. [para(6215(a,1),20(a,1)),flip(a)]. given #5570 (H,wt=14): 6245 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6215(a,1),254(a,1,2)),flip(b)]. given #5571 (H,wt=14): 6246 x / K(y,z) != u | x * K(z,y) = u. [para(6215(a,1),262(a,1,1)),flip(b)]. given #5572 (H,wt=14): 6250 x * K(y,z) != u | u * K(y,z) = x. [para(6215(a,1),4834(a,1)),flip(a)]. given #5573 (H,wt=14): 6256 (x * K(y,z)) * K(z,y) != u | u = x. [para(6228(a,1),207(a,1,1))]. given #5574 (H,wt=14): 6273 (x * K(y,z)) * K(y,z) != u | u = x. [para(6241(a,1),207(a,1,1))]. given #5575 (H,wt=14): 6305 x * K(y,z) != u | x * K(z,y) = u. [para(6241(a,1),6246(a,1))]. given #5576 (H,wt=15): 6219 x / T(y \ x,z) = y * K(z,y \ x). [hyper(69,a,14,a(flip),b,6214,a)]. given #5577 (H,wt=15): 6221 (x * ((y * z) / y)) * K(z,y) = x * z. [hyper(18,a,6118,a(flip),b,6214,a)]. given #5578 (H,wt=15): 6227 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(5948(a,1),6214(a,1,1))]. given #5579 (H,wt=15): 6231 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(154,a,6215,a,b,5014,a)]. given #5580 (H,wt=15): 6234 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(18,a,5944,a,b,6215,a),flip(a)]. given #5581 (H,wt=15): 6236 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(18,a,5277,a,b,6215,a)]. given #5582 (H,wt=15): 6237 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(18,a,1914,a,b,6215,a)]. given #5583 (H,wt=15): 6238 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(18,a,166,a,b,6215,a)]. given #5584 (H,wt=15): 6251 T(x * K(y,z),K(y,z)) = K(y,z) * x. [para(6215(a,1),5044(a,1,2)),flip(a)]. given #5585 (H,wt=15): 6253 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(343,a,6228,a)]. given #5586 (H,wt=15): 6267 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6232(a,2),5008(a,1,1))]. given #5587 (H,wt=15): 6271 (x * (y * K(z,y))) \ (x * y) = K(y,z). [para(5952(a,1),6232(a,1,1))]. given #5588 (H,wt=15): 6272 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5976(a,2),6232(a,1,1))]. given #5589 (H,wt=15): 6275 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(154,a,6216,a,b,14,a),flip(a)]. given #5590 (H,wt=15): 6285 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),6220(a,1,1)),flip(a)]. given #5591 (H,wt=13): 6325 K((x \ 1) \ y,x) = K(x * y,x). [hyper(17,a,6080,a(flip),b,6285,a(flip)),flip(a)]. given #5592 (H,wt=13): 6329 K((1 / x) \ y,x) = K(x * y,x). [hyper(199,a,5177,a,b,6325,a(flip)),flip(a)]. given #5593 (H,wt=15): 6291 x / (y * K(z,y)) = (x / y) * K(y,z). [para(4685(a,1),6235(a,2,2)),flip(a)]. given #5594 (H,wt=15): 6294 x \ (y * K(x,z)) = T(y / T(x,z),x). [para(6252(a,1),107(a,1,1)),flip(a)]. given #5595 (H,wt=15): 6299 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(199,a,4685,a(flip),b,6281,a)]. given #5596 (H,wt=15): 6309 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(268,a,6221,a),flip(a)]. given #5597 (H,wt=15): 6313 T(K(x,y) * z,K(y,x)) = z * K(x,y). [para(6231(a,1),47(a,1,1))]. given #5598 (H,wt=15): 6315 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6231(a,1),5276(a,1,1))]. given #5599 (H,wt=15): 6318 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5008(a,2),6236(a,1,1))]. given #5600 (H,wt=15): 6326 x * (y * K(x * y,x)) = T(x * y,x). [para(6285(a,1),14(a,1,2))]. given #5601 (H,wt=15): 6333 (x / (y * K(z,y))) * y = x * K(y,z). [para(4624(a,1),6309(a,1,1,2))]. given #5602 (H,wt=16): 6226 (x * K(y,z)) \ (x * z) != u | T(z,y) = u. [para(6214(a,1),254(a,1,2)),flip(b)]. given #5603 (H,wt=16): 6264 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6228(a,1),5971(a,1))]. given #5604 (H,wt=16): 6268 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5369(a,1),6232(a,1,1))]. given #5605 (H,wt=16): 6306 x * T(y,z) != u | (x * y) * K(y,z) = u. [para(6255(a,1),6246(a,1))]. given #5606 (H,wt=17): 6233 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(18,a,5950,a,b,6215,a)]. given #5607 (H,wt=17): 6263 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(6228(a,1),5238(a,2,2))]. given #5608 (H,wt=17): 6269 (x * T(x \ y,z)) \ y = K(z,(y \ x) \ 1). [para(4884(a,2),6232(a,1,1))]. given #5609 (H,wt=17): 6287 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(106(a,1),6224(a,1,1,2))]. given #5610 (H,wt=15): 6337 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(18,a,4120,a,b,6287,a)]. given #5611 (H,wt=17): 6289 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(6224(a,1),5044(a,1,2)),flip(a)]. given #5612 (H,wt=17): 6297 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(154,a,6261,a(flip),b,5014,a),flip(a)]. given #5613 (H,wt=17): 6332 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(3900(a,1),6309(a,1,1,2))]. given #5614 (H,wt=18): 6247 K(x,y) * z != u | T(u * K(y,x),K(x,y)) = z. [para(6215(a,1),155(a,2))]. given #5615 (H,wt=18): 6257 (x * K(y,z)) * K(z,y) != u * w | x / w = u. [para(6228(a,1),267(a,1))]. given #5616 (H,wt=18): 6258 (x * K(y,z)) * K(z,y) != u * w | u \ x = w. [para(6228(a,1),327(a,1,1))]. given #5617 (H,wt=18): 6274 (x * K(y,z)) * K(y,z) != u * w | x / w = u. [para(6241(a,1),267(a,1))]. given #5618 (H,wt=18): 6277 x * K(y,z) != z * u | T(x / T(z,y),z) = u. [para(6216(a,1),155(a,2)),flip(a)]. given #5619 (H,wt=18): 6284 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(6218(a,1),521(a,1))]. given #5620 (H,wt=18): 6295 T(x / T(y,z),y) != u | y \ (x * K(y,z)) = u. [para(6252(a,1),337(a,1,1))]. given #5621 (H,wt=18): 6302 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(5952(a,1),6245(a,1,1))]. given #5622 (H,wt=18): 6303 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(5976(a,2),6245(a,1,1))]. given #5623 (H,wt=18): 6304 T(K(x,y) \ z,K(x,y)) != u | z * K(y,x) = u. [para(170(a,2),6246(a,1))]. given #5624 (H,wt=18): 6317 (x / ((y * z) / y)) * K(y,z) != u | x / z = u. [para(6234(a,2),6256(a,1,1)),flip(b)]. given #5625 (H,wt=19): 6033 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(199,a,2634,a(flip),b,6005,a)]. given #5626 (H,wt=19): 6046 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6005(a,1),5703(a,1,1)),flip(a)]. given #5627 (H,wt=19): 6065 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(5891,a,6051,a)]. given #5628 (H,wt=17): 6347 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6053,a,6065,a),flip(a)]. given #5629 (H,wt=19): 6068 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(199,a,5427,a,b,6051,a(flip)),flip(a)]. given #5630 (H,wt=19): 6079 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6051(a,1),5591(a,1,1)),flip(a)]. given #5631 (H,wt=19): 6082 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6051(a,1),5748(a,1,2))]. given #5632 (H,wt=19): 6083 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6051(a,1),5854(a,1,2))]. given #5633 (H,wt=15): 6350 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(17,a,6082,a,b,6083,a)]. given #5634 (H,wt=17): 6351 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6350(a,1),4911(a,1,2))]. given #5635 (H,wt=15): 6352 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(4917,a,6351,a),flip(a)]. given #5636 (H,wt=18): 6353 K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. [para(6351(a,1),4917(a,1))]. given #5637 (H,wt=19): 6088 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(68,a,6066,a(flip),b,4600,a),flip(a)]. given #5638 (H,wt=19): 6126 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(5976(a,1),879(a,1,1))]. given #5639 (H,wt=19): 6142 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [para(6132(a,1),105(a,1,2))]. given #5640 (H,wt=19): 6154 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(16(a,1),6149(a,1,2,2,1))]. given #5641 (H,wt=17): 6359 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(199,a,107,a(flip),b,6154,a)]. given #5642 (H,wt=19): 6180 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(199,a,1886,a(flip),b,6045,a),flip(a)]. given #5643 (H,wt=19): 6183 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(199,a,4381,a(flip),b,6080,a(flip)),flip(a)]. given #5644 (H,wt=19): 6185 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6080(a,1),4399(a,1,1))]. given #5645 (H,wt=19): 6188 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(199,a,5112,a(flip),b,6106,a)]. given #5646 (H,wt=19): 6212 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4422,a,5989,a(flip))]. given #5647 (H,wt=19): 6270 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(5836(a,1),6232(a,1,1,2)),flip(a)]. given #5648 (H,wt=17): 6362 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(199,a,5718,a(flip),b,6270,a(flip))]. given #5649 (H,wt=17): 6363 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [para(6362(a,1),60(a,1,2))]. given #5650 (H,wt=19): 6279 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6216(a,1),5948(a,1,1)),flip(a)]. given #5651 (H,wt=19): 6323 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1399(a,1),6272(a,1,1))]. given #5652 (H,wt=19): 6338 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(4911(a,2),6297(a,1,1))]. given #5653 (H,wt=19): 6348 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4568(a,1),6068(a,1,2))]. given #5654 (H,wt=19): 6358 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(4756,a,6126,a)]. given #5655 (H,wt=19): 6360 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(6359(a,1),181(a,1,2))]. given #5656 (H,wt=20): 5951 (x * y) * K(z,y) != u * w | u \ (x * T(y,z)) = w. [para(5937(a,2),492(a,1))]. given #5657 (H,wt=20): 5953 K(x,y) * z != u * T(x,y) | T(u * x,K(x,y)) = z. [para(5937(a,1),4835(a,2))]. given #5658 (H,wt=20): 5983 (x * y) * K(y,z) != u * w | u \ (x * T(y,z)) = w. [para(5948(a,2),492(a,1))]. given #5659 (H,wt=20): 5985 (x / y) * T(y,z) != u * w | u \ (x * K(y,z)) = w. [para(5948(a,1),495(a,1))]. given #5660 (H,wt=20): 6049 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(28(a,2),6029(a,1,2,2)),flip(a)]. given #5661 (H,wt=20): 6073 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(94(a,2),6051(a,1,1,1))]. given #5662 (H,wt=18): 6367 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(199,a,6079,a(flip),b,6073,a(flip)),flip(a)]. given #5663 (H,wt=17): 6372 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(94(a,2),6367(a,2,1))]. given #5664 (H,wt=14): 6375 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(199,a,6001,a(flip),b,6372,a(flip))]. given #5665 (H,wt=15): 6378 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(409(a,1),6375(a,1,1)),flip(a)]. given #5666 (H,wt=18): 6368 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),6367(a,2,1,1))]. given #5667 (H,wt=18): 6370 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(63(a,1),6367(a,1,1,1)),flip(a)]. given #5668 (H,wt=15): 6379 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(95(a,2),6370(a,1,1))]. given #5669 (H,wt=15): 6381 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),6379(a,1,1,2)),flip(a)]. given #5670 (H,wt=14): 6383 K(L(x,y,z),y * x) = K(x,y * x). [hyper(199,a,6001,a(flip),b,6381,a(flip))]. given #5671 (H,wt=14): 6384 K(L(x,y,z),y * x) = K(x,x * y). [hyper(199,a,5255,a(flip),b,6383,a)]. given #5672 (H,wt=17): 6382 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(6379(a,1),4912(a,1,1)),flip(a)]. given #5673 (H,wt=15): 6385 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(199,a,5633,a(flip),b,6382,a)]. given #5674 (H,wt=15): 6387 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6385(a,1,2,2)),flip(a)]. given #5675 (H,wt=14): 6393 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(199,a,4303,a(flip),b,6387,a(flip))]. given #5676 (H,wt=17): 6388 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(60(a,1),6385(a,1,2,2)),flip(a)]. given #5677 (H,wt=16): 6394 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [hyper(3860,a,6388,a)]. given #5678 (H,wt=17): 6398 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(4727(a,1),6394(a,1,2))]. given #5679 (H,wt=18): 6377 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2809(a,1),6372(a,2,1))]. given #5680 (H,wt=17): 6399 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [hyper(4376,a,6377,a),flip(a)]. given #5681 (H,wt=18): 6386 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6382(a,2),5635(a,1))]. given #5682 (H,wt=18): 6391 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4376,a,6387,a),flip(a)]. given #5683 (H,wt=18): 6392 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(199,a,6006,a,b,6387,a(flip)),flip(a)]. given #5684 (H,wt=16): 6406 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6387(a,1),6392(a,1,1))]. given #5685 (H,wt=18): 6395 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(94(a,1),6388(a,2,2))]. given #5686 (H,wt=15): 6408 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6028,a,6395,a),flip(a)]. given #5687 (H,wt=15): 6410 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(14(a,1),6408(a,1,2,1)),flip(a)]. given #5688 (H,wt=17): 6412 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6408(a,1),4652(a,2,2))]. given #5689 (H,wt=15): 6414 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(199,a,4652,a,b,6412,a)]. given #5690 (H,wt=15): 6415 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),6414(a,1,2,1)),flip(a)]. given #5691 (H,wt=18): 6397 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(409(a,1),6388(a,2,2))]. given #5692 (H,wt=18): 6400 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(199,a,5178,a(flip),b,6377,a)]. given #5693 (H,wt=18): 6402 K(x,L(y,z,u)) != w | L(K(x,y),z * y,u) = w. [para(15(a,1),6386(a,1,2,2))]. given #5694 (H,wt=18): 6409 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6395(a,1),6028(a,1))]. given #5695 (H,wt=19): 6411 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(14(a,1),6408(a,1,2,2))]. given #5696 (H,wt=19): 6416 K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). [hyper(4833,a,6397,a),flip(a)]. given #5697 (H,wt=17): 6422 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [para(4685(a,2),6416(a,2,2,2))]. given #5698 (H,wt=20): 6103 K(L(x,y,z) / u,x) != w | K(u \ L(x,y,z),x) = w. [para(6094(a,1),3057(a,1))]. given #5699 (H,wt=20): 6116 (x * (y * z)) \ ((x * T(z,y)) * y) = a(x,z,T(y,z)). [hyper(68,a,5969,a,b,596,a)]. given #5700 (H,wt=13): 6424 a(x,T(y,z),z) = a(x,y,T(z,y)). [hyper(833,a,6116,a)]. given #5701 (H,wt=20): 6158 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(4664(a,2),6007(a,1,1))]. given #5702 (H,wt=20): 6165 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5008(a,1),6055(a,1,2,1))]. given #5703 (H,wt=20): 6168 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3125(a,1),6166(a,1))]. given #5704 (H,wt=20): 6170 x * K(y,y \ z) != u * (z / y) | u * (y \ z) = x. [para(5950(a,1),20(a,1)),flip(a)]. given #5705 (H,wt=20): 6181 x * ((y * (x \ z)) / y) != z * u | K(y,x \ z) = u. [para(6045(a,1),19(a,1))]. given #5706 (H,wt=20): 6184 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(6080(a,2),19(a,1))]. given #5707 (H,wt=20): 6187 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(6105(a,2),5847(a,1))]. given #5708 (H,wt=20): 6189 (x * ((y * z) / y)) * y != u * T(y,z) | x * z = u. [para(6118(a,2),20(a,1))]. given #5709 (H,wt=20): 6201 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(1139(a,2),6124(a,1,2,2))]. given #5710 (H,wt=20): 6259 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6228(a,1),441(a,1,1))]. given #5711 (H,wt=19): 6425 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(199,a,6213,a(flip),b,6259,a(flip))]. given #5712 (H,wt=18): 6429 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(4901(a,1),6425(a,1,2)),flip(a)]. given #5713 (H,wt=18): 6430 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(4902(a,1),6425(a,1,2)),flip(a)]. given #5714 (H,wt=20): 6298 x / (K(y,z) \ 1) != K(y,z) * u | T(x,K(y,z)) = u. [para(6261(a,2),155(a,2)),flip(a)]. given #5715 (H,wt=20): 6334 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(122(a,1),6264(a,1,1))]. given #5716 (H,wt=20): 6343 (x / y) * K(z,y) != u * w | u \ (x / T(y,z)) = w. [para(5941(a,1),6258(a,1,1))]. given #5717 (H,wt=20): 6344 (x \ 1) * K(x,y) != z * u | z \ (x \ K(x,y)) = u. [para(6223(a,1),6258(a,1,1))]. given #5718 (H,wt=20): 6345 (x * y) * K(z,y) != u * w | (x * T(y,z)) / w = u. [para(6224(a,1),6274(a,1,1))]. given #5719 (H,wt=20): 6355 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(145(a,2),6088(a,1,1,1))]. given #5720 (H,wt=20): 6369 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),6367(a,2,1,2))]. given #5721 (H,wt=20): 6374 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6325(a,1),6367(a,1,1))]. given #5722 (H,wt=20): 6376 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1592(a,2),6372(a,2,1))]. given #5723 (H,wt=20): 6380 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(199,a,28,a(flip),b,6379,a)]. given #5724 (H,wt=18): 6435 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(6380(a,2),403(a,1))]. given #5725 (H,wt=20): 6389 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(471(a,1),6385(a,1,2))]. given #5726 (H,wt=20): 6396 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(198(a,1),6388(a,2,2))]. given #5727 (H,wt=20): 6403 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(60(a,1),6386(a,1,2,2))]. given #5728 (H,wt=20): 6431 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(6430(a,1),5939(a,1,1)),flip(a)]. given #5729 (H,wt=20): 6437 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(199,a,6279,a(flip),b,6431,a(flip)),flip(a)]. given #5730 (H,wt=21): 5934 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(5933(a,1),101(a,1,1)),flip(a)]. given #5731 (H,wt=21): 6013 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6011(a,1),398(a,1,2,1))]. given #5732 (H,wt=21): 6018 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6016(a,1),397(a,1,2,1))]. given #5733 (H,wt=11): 6439 R(x,K(y,z),R(z,u,w)) = x. [hyper(427,a,6018,a)]. given #5734 (H,wt=21): 6019 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6016(a,1),398(a,1,2,1))]. given #5735 (H,wt=11): 6441 R(x,K(y,z),L(z,u,w)) = x. [hyper(427,a,6019,a)]. given #5736 (H,wt=21): 6039 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(601(a,1),6005(a,1,2,1)),flip(a)]. given #5737 (H,wt=21): 6047 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6022(a,1),5477(a,1,1))]. given #5738 (H,wt=17): 6443 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(63(a,1),6047(a,1,2)),flip(a)]. given #5739 (H,wt=21): 6091 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6066(a,1),4719(a,1,2))]. given #5740 (H,wt=21): 6127 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5976(a,1),1626(a,2,1))]. given #5741 (H,wt=19): 6444 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(68,a,6127,a(flip),b,5976,a(flip))]. given #5742 (H,wt=19): 6445 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(63(a,1),6444(a,1,2,1,2,1)),flip(a)]. given #5743 (H,wt=19): 6446 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(199,a,5917,a,b,6445,a)]. given #5744 (H,wt=21): 6148 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(6139(a,1),2901(a,1,2))]. given #5745 (H,wt=21): 6156 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [para(5996(a,1),388(a,1,2)),flip(a)]. given #5746 (H,wt=21): 6159 L(K(x,y \ z),y \ z,u) != w | K(x,(z \ y) \ 1) = w. [para(6001(a,2),6050(a,1))]. given #5747 (H,wt=21): 6182 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6077(a,1),5417(a,2,1))]. given #5748 (H,wt=15): 6447 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4696(a,1),6182(a,1,1,1)),flip(a)]. given #5749 (H,wt=17): 6448 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6447(a,1),105(a,1,2)),flip(a)]. given #5750 (H,wt=21): 6265 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(199,a,5573,a(flip),b,6232,a)]. given #5751 (H,wt=17): 6449 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5594(a,1),6265(a,1,1,2))]. given #5752 (H,wt=17): 6450 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(6449(a,1),60(a,1,2))]. given #5753 (H,wt=18): 6453 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(92(a,1),6449(a,1,1))]. given #5754 (H,wt=18): 6455 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(263,a,6450,a),flip(a)]. given #5755 (H,wt=20): 6451 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(6449(a,1),78(a,1,2)),flip(b)]. given #5756 (H,wt=20): 6452 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(6449(a,1),261(a,1,2)),flip(b)]. given #5757 (H,wt=20): 6454 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(387(a,1),6449(a,1,1))]. given #5758 (H,wt=21): 6283 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(68,a,6218,a(flip),b,5080,a(flip)),flip(a)]. given #5759 (H,wt=21): 6312 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(68,a,92,a(flip),b,6227,a)]. given #5760 (H,wt=21): 6321 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(784(a,1),6272(a,1,1))]. given #5761 (H,wt=21): 6390 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(5957(a,1),6385(a,1,2,2)),flip(a)]. given #5762 (H,wt=21): 6401 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(60(a,1),6399(a,1,1,1)),flip(a)]. given #5763 (H,wt=21): 6404 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(95(a,1),6386(a,1,2))]. given #5764 (H,wt=21): 6405 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(407(a,1),6391(a,1,2)),flip(a)]. given #5765 (H,wt=21): 6407 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(199,a,6368,a(flip),b,6406,a(flip))]. given #5766 (H,wt=21): 6413 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(199,a,5788,a(flip),b,6410,a(flip))]. given #5767 (H,wt=21): 6423 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(2898(a,2),6422(a,2,2,2))]. given #5768 (H,wt=21): 6428 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3128(a,1),6425(a,1,2)),flip(a)]. given #5769 (H,wt=21): 6438 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3094(a,1),5934(a,2,2))]. given #5770 (H,wt=21): 6440 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(199,a,6259,a(flip),b,6439,a(flip)),flip(a)]. given #5771 (H,wt=21): 6456 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(6455(a,1),19(a,1)),flip(a)]. given #5772 (H,wt=21): 6457 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(6455(a,1),254(a,1,2)),flip(b)]. given #5773 (H,wt=21): 6458 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(199,a,40,a,b,6312,a)]. given #5774 (H,wt=21): 6463 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1195(a,1),6413(a,1,2)),flip(a)]. given #5775 (H,wt=21): 6465 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(6428(a,1),4485(a,1,2))]. given #5776 (H,wt=22): 5964 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5939(a,1),145(a,2,1))]. given #5777 (H,wt=22): 6037 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),6005(a,1,2,1)),flip(a)]. given #5778 (H,wt=22): 6078 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(6051(a,1),5153(a,1,2))]. given #5779 (H,wt=22): 6119 (x * y) * T(z,y) != u * w | u \ ((x * T(y,z)) * z) = w. [para(5969(a,1),492(a,1))]. given #5780 (H,wt=22): 6192 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(5901(a,2),6190(a,1))]. given #5781 (H,wt=22): 6202 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1209(a,1),6124(a,1,2))]. given #5782 (H,wt=15): 6470 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6202,a,6348,a),flip(a)]. given #5783 (H,wt=18): 6471 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6348(a,1),6202(a,1))]. given #5784 (H,wt=22): 6244 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6215(a,1),28(a,2,2,2))]. given #5785 (H,wt=17): 6473 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(199,a,6453,a(flip),b,6244,a)]. given #5786 (H,wt=22): 6349 x * ((y \ (x \ z)) * y) != z * u | K((y * x) \ z,y) = u. [para(6082(a,1),19(a,1))]. given #5787 (H,wt=22): 6366 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(345(a,2),6049(a,1,2))]. given #5788 (H,wt=22): 6371 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(105(a,1),6367(a,2,1,2))]. given #5789 (H,wt=22): 6417 L(K(x,(y \ z) \ u),u,y) = w \ (w * K(x,z \ (y * u))). [hyper(199,a,13,a,b,6397,a)]. given #5790 (H,wt=21): 6475 L(K(x,(y \ z) \ u),u,y) != w | K(x,z \ (y * u)) = w. [para(6417(a,2),254(a,1)),flip(b)]. given #5791 (H,wt=18): 6476 K(x,(y \ z) \ x) != u | K(x,z \ (y * x)) = u. [para(5974(a,1),6475(a,1))]. given #5792 (H,wt=22): 6419 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6397(a,1),40(a,2,1))]. given #5793 (H,wt=22): 6434 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(6325(a,1),6369(a,1,1))]. given #5794 (H,wt=22): 6467 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5964(a,2),4822(a,1))]. given #5795 (H,wt=22): 6468 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(419(a,2),6037(a,1,2))]. given #5796 (H,wt=22): 6469 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(6415(a,1),6078(a,1,1))]. given #5797 (H,wt=22): 6474 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(199,a,3396,a,b,6366,a(flip)),flip(a)]. given #5798 (H,wt=23): 6144 T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). [para(6132(a,1),3990(a,1,1))]. given #5799 (H,wt=23): 6163 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(94(a,2),6055(a,1,2,1))]. given #5800 (H,wt=23): 6191 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(102(a,2),6190(a,1,2,1))]. given #5801 (H,wt=23): 6195 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6194(a,1),92(a,1,2))]. given #5802 (H,wt=23): 6300 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5405(a,1),6245(a,1,1))]. given #5803 (H,wt=23): 6301 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5409(a,1),6245(a,1,1))]. given #5804 (H,wt=23): 6314 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(6231(a,1),189(a,1,1,1))]. given #5805 (H,wt=23): 6322 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1297(a,1),6272(a,1,1))]. given #5806 (H,wt=23): 6324 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1810(a,1),6272(a,1,1))]. given #5807 (H,wt=23): 6364 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(6338(a,2),166(a,1,1))]. given #5808 (H,wt=23): 6365 T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(2899(a,1),6360(a,2,2))]. given #5809 (H,wt=19): 6480 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(2899(a,1),6365(a,1,1))]. given #5810 (H,wt=23): 6418 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(199,a,6368,a(flip),b,6397,a(flip))]. given #5811 (H,wt=21): 6481 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(51(a,1),6418(a,2,1))]. given #5812 (H,wt=23): 6420 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6397(a,1),92(a,1,2))]. given #5813 (H,wt=21): 6484 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(51(a,1),6420(a,1,2,2)),flip(a)]. given #5814 (H,wt=23): 6433 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6369(a,1),387(a,1,2)),flip(a)]. given #5815 (H,wt=23): 6462 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(68,a,6401,a(flip),b,2364,a)]. given #5816 (H,wt=23): 6464 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(6428(a,1),3554(a,1,1)),flip(a)]. given #5817 (H,wt=23): 6477 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6212(a,1),6195(a,2,2))]. given #5818 (H,wt=19): 6487 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(199,a,5014,a(flip),b,6477,a)]. given #5819 (H,wt=19): 6488 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(18,a,5578,a,b,6487,a),flip(a)]. given #5820 (H,wt=19): 6489 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(6488(a,1),14(a,1,2))]. given #5821 (H,wt=22): 6490 (x * y) \ T(y * x,z) != u | K(y,x) * K(y * x,z) = u. [para(6489(a,1),254(a,1,2)),flip(b)]. given #5822 (H,wt=23): 6479 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(4948(a,1),6324(a,1,1,1)),flip(a)]. given #5823 (H,wt=23): 6491 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(6479(a,2),14(a,1,2))]. given #5824 (H,wt=24): 6162 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(5426(a,2),6053(a,1))]. given #5825 (H,wt=24): 6340 (x / (1 / (1 / y))) * K(y \ 1,y) != z * u | (x / y) / u = z. [para(2698(a,1),6257(a,1,1))]. given #5826 (H,wt=24): 6341 (x / y) * K(y,y \ 1) != z * u | z \ (x / (1 / (1 / y))) = u. [para(2752(a,1),6258(a,1,1))]. given #5827 (H,wt=24): 6373 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5014(a,1),6367(a,2,1,1))]. given #5828 (H,wt=24): 6436 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5012(a,1),6389(a,1,2,1,2)),flip(a)]. given #5829 (H,wt=24): 6472 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6470(a,1),6369(a,1,1))]. given #5830 (H,wt=19): 6493 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(199,a,6369,a(flip),b,6472,a(flip))]. given #5831 (H,wt=15): 6494 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),6493(a,2,1,1))]. given #5832 (H,wt=15): 6495 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(60(a,1),6494(a,1,1,1,2))]. given #5833 (H,wt=21): 6496 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(6495(a,1),6217(a,1,1,2)),flip(a)]. given #5834 (H,wt=15): 6497 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(199,a,6217,a(flip),b,6496,a)]. given #5835 (H,wt=15): 6498 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(5518(a,1),6497(a,1,2))]. given #5836 (H,wt=19): 6499 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(6498(a,1),181(a,1,2))]. given #5837 (H,wt=19): 6500 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(591,a,6499,a)]. given #5838 (H,wt=19): 6501 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(199,a,6144,a(flip),b,6500,a(flip))]. given #5839 (H,wt=24): 6485 (x * y) * z != x * (y * K(u,(x \ 1) \ y)) | K(u,x * y) = z. [para(6484(a,2),19(a,1)),flip(a)]. given #5840 (H,wt=25): 6432 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1574(a,1),6355(a,2,2))]. given #5841 (H,wt=25): 6460 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(1209(a,1),6321(a,1,1,2))]. given #5842 (H,wt=25): 6461 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1387(a,1),6321(a,1,1,2))]. given #5843 (H,wt=25): 6478 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(63(a,1),6322(a,1,1,1,2,1))]. given #5844 (H,wt=23): 6503 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5960(a,1),6478(a,1,1,1)),flip(a)]. given #5845 (H,wt=23): 6504 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(6503(a,2),14(a,1,2))]. given #5846 (H,wt=19): 6506 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6026(a,1),6504(a,1,2,2))]. given #5847 (H,wt=19): 6508 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6215(a,1),6506(a,1,1,1))]. given #5848 (H,wt=23): 6507 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(6504(a,1),6232(a,1,1)),flip(a)]. given #5849 (H,wt=23): 6509 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(60(a,1),6507(a,1,1,1,1)),flip(a)]. given #5850 (H,wt=23): 6510 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(6509(a,1),14(a,1,2))]. given #5851 (H,wt=15): 6511 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(17,a,5947,a(flip),b,6510,a)]. given #5852 (H,wt=15): 6512 K((x / y) \ z,y) = K(x \ (z * y),y). [para(16(a,1),6511(a,1,1,1)),flip(a)]. given #5853 (H,wt=17): 6513 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [para(112(a,1),6511(a,1,1))]. given #5854 (H,wt=20): 6515 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(6513(a,1),5829(a,1,1,1))]. given #5855 (H,wt=23): 6514 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [para(6511(a,1),6271(a,1,1,2,2))]. given #5856 (H,wt=15): 6516 K(x,(y * x) \ (z * x)) = K(x,y \ z). [hyper(6302,a,6514,a),flip(a)]. given #5857 (H,wt=15): 6517 K(x,(x * y) \ (z * x)) = K(x,y \ z). [hyper(6353,a,6516,a)]. given #5858 (H,wt=15): 6518 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(14(a,1),6517(a,1,2,1)),flip(a)]. given #5859 (H,wt=15): 6519 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(13(a,1),6518(a,1,2)),flip(a)]. given #5860 (H,wt=24): 6520 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(6518(a,1),6396(a,1,1))]. given #5861 (H,wt=25): 6502 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4568(a,1),6461(a,1,1,2))]. given #5862 (H,wt=19): 6521 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(199,a,6460,a(flip),b,6502,a(flip))]. given #5863 (H,wt=15): 6522 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),6521(a,2,2,1))]. given #5864 (H,wt=19): 6523 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(60(a,1),6521(a,1,2,1,2)),flip(a)]. given #5865 (H,wt=19): 6524 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(274(a,1),6523(a,1,2,1)),flip(a)]. given #5866 (H,wt=17): 6525 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6216(a,1),6524(a,1,2,1))]. given #5867 (H,wt=15): 6526 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4615(a,1),6525(a,1,2,1)),flip(a)]. given #5868 (H,wt=26): 4906 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4626(a,1),24(a,2,2,1)),flip(a)]. given #5869 (H,wt=26): 5058 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(4769(a,2),1499(a,2,2))]. given #5870 (H,wt=26): 5365 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2067(a,1),5091(a,1,2))]. given #5871 (H,wt=26): 5478 ((x / y) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. [para(5110(a,2),155(a,2))]. given #5872 (H,wt=26): 5655 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5008(a,1),5022(a,1,1))]. given #5873 (H,wt=26): 5686 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(5684(a,1),2282(a,1,1))]. given #5874 (H,wt=24): 6528 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(199,a,105,a(flip),b,5686,a)]. given #5875 (H,wt=26): 5687 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(5684(a,1),2727(a,1,1))]. given #5876 (H,wt=26): 5744 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(16(a,1),5742(a,2,2,1,2))]. given #5877 (H,wt=23): 6532 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(5459,a,5744,a)]. given #5878 (H,wt=21): 6533 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(199,a,5235,a(flip),b,6532,a)]. given #5879 (H,wt=22): 6535 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(6533(a,1),5567(a,1))]. given #5880 (H,wt=19): 6536 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(6535,a,6100,a)]. given #5881 (H,wt=26): 5820 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(63(a,1),5623(a,1,2,2)),flip(a)]. given #5882 (H,wt=24): 6537 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3671(a,1),5820(a,2,2))]. given #5883 (H,wt=19): 6538 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(199,a,3684,a(flip),b,6537,a(flip))]. given #5884 (H,wt=23): 6539 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(2899(a,1),6538(a,1,2,2)),flip(a)]. given #5885 (H,wt=19): 6540 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(2899(a,1),6539(a,1,1,1)),flip(a)]. given #5886 (H,wt=19): 6541 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(6540(a,1),63(a,1,1))]. given #5887 (H,wt=26): 5863 (1 / x) * (K(x,y) * z) != u * w | u \ (K(x,y) * ((1 / x) * z)) = w. [para(5860(a,1),492(a,1))]. given #5888 (H,wt=26): 5875 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(2817(a,1),5754(a,1,2,2,1)),flip(a)]. given #5889 (H,wt=23): 6542 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(2858(a,1),5875(a,1,2,2,1)),flip(a)]. given #5890 (H,wt=26): 5884 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(5870(a,1),19(a,1))]. given #5891 (H,wt=26): 5885 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(5871(a,2),19(a,1))]. given #5892 (H,wt=26): 5888 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(5887(a,2),20(a,1))]. given #5893 (H,wt=26): 5904 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(5730(a,1),5728(a,1,1))]. given #5894 (H,wt=22): 6544 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(199,a,5835,a(flip),b,5904,a(flip))]. given #5895 (H,wt=26): 5963 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5939(a,1),24(a,2,1,2)),flip(a)]. given #5896 (H,wt=24): 6546 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6114(a,1),5963(a,1,2))]. given #5897 (H,wt=18): 6547 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(6546(a,1),597(a,1))]. given #5898 (H,wt=26): 5968 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5939(a,1),5371(a,1,2,1))]. given #5899 (H,wt=26): 6044 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6005(a,1),5156(a,1,1))]. given #5900 (H,wt=24): 6548 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(5163(a,1),6044(a,1,2))]. given #5901 (H,wt=24): 6549 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(6378(a,1),6548(a,1,2))]. given #5902 (H,wt=26): 6125 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(5976(a,2),93(a,1,2,2)),flip(a)]. given #5903 (H,wt=23): 6550 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6125(a,2),6162(a,1))]. given #5904 (H,wt=26): 6286 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(6223(a,1),102(a,2,2))]. given #5905 (H,wt=26): 6483 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6420(a,1),19(a,1)),flip(a)]. given #5906 (H,wt=26): 6486 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6433(a,2),6245(a,1,1))]. given #5907 (H,wt=23): 6551 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6454(a,1),6486(a,1))]. given #5908 (H,wt=26): 6527 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(737(a,2),5058(a,1,2,2,1))]. given #5909 (H,wt=24): 6554 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1845(a,1),6527(a,1,2))]. given #5910 (H,wt=26): 6531 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2630(a,2),5687(a,2,2))]. given #5911 (H,wt=19): 6555 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(199,a,6528,a(flip),b,6531,a(flip))]. given #5912 (H,wt=19): 6556 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(6555(a,1),63(a,1,1))]. given #5913 (H,wt=26): 6545 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6544(a,1),5012(a,1,2,1)),flip(a)]. given #5914 (H,wt=25): 6557 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6545(a,2),5020(a,1))]. given #5915 (H,wt=27): 4565 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(198(a,1),4555(a,1,2,1,2))]. given #5916 (H,wt=27): 4678 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(4610(a,2),1387(a,1,1)),flip(a)]. given #5917 (H,wt=25): 6558 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(4610(a,2),4678(a,2,2,1,1))]. given #5918 (H,wt=27): 4683 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4619(a,2),2480(a,1,2,1))]. given #5919 (H,wt=27): 4767 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(196(a,2),4753(a,1,2))]. given #5920 (H,wt=27): 5269 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(199,a,3085,a(flip),b,5032,a)]. given #5921 (H,wt=23): 6560 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(3381(a,1),5269(a,1,2,2))]. given #5922 (H,wt=27): 5346 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(3903(a,1),5306(a,1,2)),flip(a)]. given #5923 (H,wt=23): 6561 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(4924(a,1),5346(a,1,1))]. given #5924 (H,wt=27): 5414 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4805(a,2),3902(a,1,1))]. given #5925 (H,wt=27): 5510 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(5261(a,1),3763(a,2,3))]. given #5926 (H,wt=27): 5628 K(x,y \ ((z \ K(z,z \ u)) * w)) = K(x,y \ ((1 / ((z \ u) \ u)) * w)). [para(4842(a,1),5499(a,2,2,2,1)),flip(a)]. given #5927 (H,wt=27): 5630 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4770(a,2),5540(a,2,2,2)),flip(a)]. given #5928 (H,wt=27): 5692 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(4838(a,1),4928(a,2,1,1))]. given #5929 (H,wt=27): 5807 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(4778(a,1),2190(a,1,2))]. given #5930 (H,wt=25): 6565 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(12(a,1),5807(a,2,1,2,2))]. given #5931 (H,wt=27): 5876 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(273,a,5768,a)]. given #5932 (H,wt=23): 6566 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(63(a,1),5876(a,1,1,1,1,2)),flip(a)]. given #5933 (H,wt=21): 6567 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6051(a,1),6566(a,1,2))]. given #5934 (H,wt=19): 6568 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3560,a,b,6567,a),flip(a)]. given #5935 (H,wt=21): 6569 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5187(a,1),6567(a,1,2))]. given #5936 (H,wt=23): 6570 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(60(a,1),6568(a,2,1,2))]. given #5937 (H,wt=25): 6571 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(199,a,3444,a,b,6570,a(flip)),flip(a)]. given #5938 (H,wt=23): 6572 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3300(a,1),6571(a,1,1,2))]. given #5939 (H,wt=17): 6573 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3594,a,6572,a),flip(a)]. given #5940 (H,wt=25): 6574 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(106(a,2),6573(a,1,2,2))]. given #5941 (H,wt=21): 6575 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(199,a,5332,a(flip),b,6574,a(flip))]. given #5942 (H,wt=19): 6576 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(199,a,6405,a(flip),b,6575,a(flip))]. given #5943 (H,wt=19): 6577 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(199,a,6568,a,b,6576,a(flip)),flip(a)]. given #5944 (H,wt=27): 5877 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(199,a,5588,a,b,5770,a(flip)),flip(a)]. given #5945 (H,wt=23): 6578 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(851(a,1),5877(a,1,1))]. given #5946 (H,wt=27): 5986 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(5948(a,1),429(a,1,1))]. given #5947 (H,wt=25): 6581 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5948(a,1),5986(a,1,2)),flip(a)]. given #5948 (H,wt=18): 6582 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(199,a,30,a,b,6581,a)]. given #5949 (H,wt=18): 6584 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(199,a,46,a,b,6582,a(flip)),flip(a)]. given #5950 (H,wt=21): 6583 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6581(a,2),436(a,1))]. given #5951 (H,wt=27): 6308 K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,y \ ((z * K(u,z \ 1)) \ w)). [para(6219(a,1),5498(a,1,2,2,1)),flip(a)]. given #5952 (H,wt=27): 6328 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(6096(a,2),6285(a,2,2,1)),flip(a)]. given #5953 (H,wt=27): 6339 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6240(a,1),6332(a,1,1)),flip(a)]. given #5954 (H,wt=27): 6361 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5187(a,1),6183(a,2,2))]. given #5955 (H,wt=27): 6442 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2379(a,2),6039(a,1,2))]. given #5956 (H,wt=27): 6459 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(784(a,1),6321(a,1,1,2))]. given #5957 (H,wt=25): 6587 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(105(a,1),6459(a,1,1,2,2))]. given #5958 (H,wt=25): 6588 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4565(a,2),6587(a,1,1))]. given #5959 (H,wt=27): 6466 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4625(a,1),6458(a,2,1))]. given #5960 (H,wt=23): 6589 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4700(a,1),6466(a,1,1,2))]. given #5961 (H,wt=21): 6590 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4676(a,1),6589(a,1,2,2))]. given #5962 (H,wt=27): 6529 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. [para(5686(a,2),215(a,1))]. given #5963 (H,wt=27): 6552 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5008(a,1),6551(a,1,1,2))]. given #5964 (H,wt=27): 6553 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(6518(a,1),6551(a,1,1))]. given #5965 (H,wt=27): 6562 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3150(a,1),5510(a,1,3))]. given #5966 (H,wt=27): 6563 K(x,y \ ((((z \ u) \ u) \ 1) * w)) = K(x,y \ ((z \ K(z,z \ u)) * w)). [hyper(199,a,5499,a(flip),b,5628,a),flip(a)]. given #5967 (H,wt=27): 6564 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5260(a,1),5692(a,1,2))]. given #5968 (H,wt=27): 6579 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1314(a,1),6578(a,1,1)),flip(a)]. given #5969 (H,wt=21): 6591 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4427(a,1),6579(a,1,2)),flip(a)]. given #5970 (H,wt=15): 6592 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(199,a,4811,a,b,6591,a),flip(a)]. given #5971 (H,wt=17): 6593 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(13(a,1),6592(a,2,2,1)),flip(a)]. given #5972 (H,wt=23): 6594 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5008(a,1),6593(a,1,2))]. given #5973 (H,wt=23): 6595 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(5917(a,2),6594(a,1,1))]. given #5974 (H,wt=21): 6596 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(12(a,1),6595(a,1,2))]. given #5975 (H,wt=27): 6585 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(199,a,6445,a,b,6328,a)]. given #5976 (H,wt=23): 6597 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4149(a,1),6585(a,2,1))]. given #5977 (H,wt=23): 6598 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5337(a,1),6597(a,1,2))]. given #5978 (H,wt=27): 6586 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5493(a,1),6361(a,2,2))]. given #5979 (H,wt=25): 6599 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(199,a,6569,a(flip),b,6586,a)]. given #5980 (H,wt=28): 4554 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4552(a,2),4477(a,1,2))]. given #5981 (H,wt=25): 6600 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(218,a,4554,a),flip(a)]. given #5982 (H,wt=28): 4692 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(4625(a,1),1539(a,1,1)),flip(a)]. given #5983 (H,wt=24): 6601 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(4690(a,1),4692(a,1,2))]. given #5984 (H,wt=23): 6602 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5546(a,1),6601(a,2,3))]. given #5985 (H,wt=22): 6603 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4024(a,1),6602(a,1,2))]. given #5986 (H,wt=20): 6604 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(5152,a,6603,a),flip(a)]. given #5987 (H,wt=28): 4855 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) != z | x \ T(x,y / (x * y)) = z. [para(2549(a,2),4627(a,1))]. given #5988 (H,wt=28): 5199 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(4641(a,1),30(a,2,2)),flip(a)]. given #5989 (H,wt=28): 5258 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(83(a,1),5255(a,2,2))]. given #5990 (H,wt=28): 5349 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(5348(a,1),329(a,1,2)),flip(a)]. given #5991 (H,wt=26): 6605 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5348(a,1),5349(a,1,3)),flip(a)]. given #5992 (H,wt=28): 5581 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(4807(a,1),337(a,1,1))]. given #5993 (H,wt=28): 5662 T(x,y) \ T(z * T(z \ x,u),y) != w | K((T(x,y) \ T(z,y)) \ 1,u) = w. [para(1810(a,1),5354(a,1,2))]. given #5994 (H,wt=21): 6607 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(5662,a,5507,a)]. given #5995 (H,wt=19): 6608 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(199,a,6051,a(flip),b,6607,a)]. given #5996 (H,wt=17): 6609 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6053,a,6608,a)]. given #5997 (H,wt=19): 6610 T(x,T(y,z) \ T(x,z)) = x / K(y \ x,T(x,z)). [para(6609(a,1),4610(a,2,2))]. given #5998 (H,wt=19): 6611 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6609(a,1),4911(a,1,2)),flip(a)]. given #5999 (H,wt=17): 6612 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(199,a,4911,a(flip),b,6611,a)]. given #6000 (H,wt=28): 5675 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5582(a,1),595(a,1,2))]. given #6001 (H,wt=21): 6613 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(4857,a,5675,a),flip(a)]. given #6002 (H,wt=19): 6614 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1682(a,1),6613(a,1,1))]. given #6003 (H,wt=17): 6615 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(199,a,5800,a(flip),b,6614,a)]. given #6004 (H,wt=17): 6616 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [para(5799(a,1),6615(a,1,1))]. given #6005 (H,wt=17): 6617 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(154,a,6616,a,b,4352,a)]. given #6006 (H,wt=12): 6619 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,6617,a)]. given #6007 (H,wt=14): 6620 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(6619(a,1),4698(a,1,1,1))]. given #6008 (H,wt=24): 6618 R(x,y,z) \ 1 != (x \ 1) * u | T(R(x,y,z) \ x,x \ 1) = u. [para(6616(a,1),155(a,2)),flip(a)]. given #6009 (H,wt=28): 5739 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(455(a,1),5708(a,1,2,1)),flip(a)]. given #6010 (H,wt=26): 6622 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(199,a,5235,a(flip),b,5739,a)]. given #6011 (H,wt=24): 6623 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(199,a,5707,a(flip),b,6622,a(flip)),flip(a)]. given #6012 (H,wt=24): 6624 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(4988(a,1),6623(a,1,1))]. given #6013 (H,wt=22): 6625 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(199,a,5835,a(flip),b,6624,a(flip))]. given #6014 (H,wt=24): 6626 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),6625(a,1,2,1,1)),flip(a)]. given #6015 (H,wt=22): 6628 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(199,a,5836,a(flip),b,6626,a(flip))]. given #6016 (H,wt=28): 5830 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(4782(a,1),5366(a,1))]. given #6017 (H,wt=28): 5924 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4810(a,1),838(a,1,1,1))]. given #6018 (H,wt=24): 6629 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(13(a,1),5924(a,2,1,1))]. given #6019 (H,wt=28): 6196 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6021(a,1),218(a,1,2))]. given #6020 (H,wt=28): 6206 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) != z | ((y \ T(y,x)) \ 1) \ 1 = z. [para(1051(a,2),6143(a,1,1))]. given #6021 (H,wt=28): 6292 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6240(a,1),3914(a,1,1,2))]. given #6022 (H,wt=28): 6630 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6275(a,1),6292(a,2,2))]. given #6023 (H,wt=26): 6631 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(199,a,4117,a(flip),b,6630,a)]. given #6024 (H,wt=29): 4567 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) != u * w | u \ ((x \ (y * z)) * x) = w. [para(4556(a,2),492(a,1))]. given #6025 (H,wt=29): 4693 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4625(a,1),1795(a,1,2,1)),flip(a)]. given #6026 (H,wt=27): 6632 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5061(a,1),4693(a,2,1))]. given #6027 (H,wt=21): 6633 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4625(a,1),6632(a,1,1,1))]. given #6028 (H,wt=21): 6634 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(6633(a,1),63(a,1,1))]. given #6029 (H,wt=29): 4931 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(4912(a,1),1781(a,2,1,2,1))]. given #6030 (H,wt=27): 6636 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(5348(a,1),4931(a,1,2,1))]. given #6031 (H,wt=29): 5039 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5014(a,1),394(a,1,1)),flip(a)]. given #6032 (H,wt=21): 6637 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5014(a,1),5039(a,2,2))]. given #6033 (H,wt=20): 6638 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(6637(a,2),254(a,1))]. given #6034 (H,wt=13): 6640 L(x,y,K(z \ 1,z)) != u | u = x. [para(3487(a,1),6638(a,1))]. given #6035 (H,wt=18): 6642 a(x,y \ 1,y) != z | x \ R(x,y \ 1,y) = z. [para(2299(a,1),6640(a,1)),flip(b)]. given #6036 (H,wt=22): 6641 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) != u | y \ z = u. [para(94(a,1),6640(a,1)),flip(b)]. given #6037 (H,wt=29): 5115 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5015(a,1),1572(a,1,2,2,1))]. given #6038 (H,wt=27): 6643 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(164(a,1),5115(a,1,2)),flip(a)]. given #6039 (H,wt=25): 6644 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(4912(a,1),6643(a,1,1,2,1))]. given #6040 (H,wt=29): 5116 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5015(a,1),1717(a,1,2,2,1))]. given #6041 (H,wt=27): 6645 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(165(a,1),5116(a,1,2)),flip(a)]. given #6042 (H,wt=25): 6646 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(4912(a,1),6645(a,1,1,2,1))]. given #6043 (H,wt=29): 5311 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5095(a,1),394(a,1,1))]. given #6044 (H,wt=29): 5631 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(317(a,1),5563(a,1,2,2,1,2))]. given #6045 (H,wt=29): 5660 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(146(a,1),5228(a,2,3))]. given #6046 (H,wt=27): 6649 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3393(a,1),5660(a,1,1))]. given #6047 (H,wt=27): 6650 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5325(a,1),6649(a,1,1,1))]. given #6048 (H,wt=29): 5792 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(5791(a,1),1595(a,2,2,1))]. given #6049 (H,wt=25): 6651 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6358(a,1),5792(a,1,1,1))]. given #6050 (H,wt=29): 6249 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(6215(a,1),597(a,1,1,2))]. given #6051 (H,wt=29): 6543 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5407(a,1),6542(a,1,2,2,1)),flip(a)]. given #6052 (H,wt=27): 6652 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5119(a,1),6543(a,1,2,2,1,1))]. given #6053 (H,wt=23): 6653 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4662(a,1),6652(a,1,2,2,1)),flip(a)]. given #6054 (H,wt=29): 6559 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(68,a,4683,a(flip),b,4631,a),flip(a)]. given #6055 (H,wt=29): 6606 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(6605(a,1),20(a,1))]. given #6056 (H,wt=29): 6647 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5095(a,1),5311(a,1,2))]. given #6057 (H,wt=25): 6655 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4723(a,1),6647(a,1,1))]. given #6058 (H,wt=23): 6656 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4669(a,1),6655(a,1,2,2)),flip(a)]. given #6059 (H,wt=21): 6657 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6656(a,2),716(a,1))]. given #6060 (H,wt=29): 6654 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(199,a,920,a(flip),b,6559,a(flip)),flip(a)]. given #6061 (H,wt=30): 5562 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(3086(a,1),5153(a,1,2))]. given #6062 (H,wt=30): 5747 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(42(a,2),5429(a,2,2))]. given #6063 (H,wt=26): 6658 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3212(a,1),5747(a,1,2,1,1))]. given #6064 (H,wt=22): 6659 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3085(a,1),6658(a,1,2))]. given #6065 (H,wt=30): 5785 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(5688(a,1),427(a,1))]. given #6066 (H,wt=30): 5903 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(5902(a,1),446(a,1,1))]. given #6067 (H,wt=25): 6660 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(199,a,5714,a(flip),b,5903,a(flip))]. given #6068 (H,wt=25): 6661 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(4526(a,1),6660(a,1,1))]. given #6069 (H,wt=19): 6662 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6192,a,6661,a)]. given #6070 (H,wt=30): 5926 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(799(a,1),4889(a,1,2))]. given #6071 (H,wt=30): 6128 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(5976(a,2),2985(a,1,1,1)),flip(a)]. given #6072 (H,wt=27): 6665 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(5725,a,6128,a),flip(a)]. given #6073 (H,wt=27): 6666 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1392(a,1),6665(a,1,1))]. given #6074 (H,wt=23): 6667 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(199,a,5441,a(flip),b,6666,a(flip)),flip(a)]. given #6075 (H,wt=30): 6319 T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). [para(6251(a,1),5293(a,1,1))]. given #6076 (H,wt=26): 6668 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5013(a,1),6319(a,1,2)),flip(a)]. given #6077 (H,wt=30): 6492 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6448(a,2),6436(a,2,2,1))]. given #6078 (H,wt=30): 6664 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1568(a,2),5926(a,1,2))]. given #6079 (H,wt=27): 6669 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(218,a,6664,a)]. given #6080 (H,wt=23): 6670 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5608(a,1),6669(a,1,2)),flip(a)]. given #6081 (H,wt=21): 6671 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4961(a,1),6670(a,2,2))]. given #6082 (H,wt=21): 6672 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(63(a,1),6671(a,1,1,2,1))]. given #6083 (H,wt=17): 6673 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(63(a,1),6672(a,2,2,1,2))]. given #6084 (H,wt=17): 6674 x * (T(y,y \ x) \ 1) = T(x * (y \ 1),y). [hyper(199,a,6126,a(flip),b,6673,a(flip))]. given #6085 (H,wt=17): 6675 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(68,a,6126,a(flip),b,6673,a(flip))]. given #6086 (H,wt=17): 6676 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(68,a,6673,a(flip),b,5874,a(flip))]. given #6087 (H,wt=12): 6684 L(K(x,y),y \ 1,z) = K(x,y). [hyper(4893,a,6676,a)]. given #6088 (H,wt=15): 6685 K(x,y) != z | L(K(x,y),y \ 1,u) = z. [para(6676(a,1),4893(a,1))]. given #6089 (H,wt=15): 6686 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(6550,a,6684,a)]. given #6090 (H,wt=17): 6679 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4605(a,1),6673(a,2,2))]. given #6091 (H,wt=17): 6681 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6215(a,1),6673(a,1,1)),flip(a)]. given #6092 (H,wt=17): 6683 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(199,a,556,a(flip),b,6675,a)]. given #6093 (H,wt=17): 6689 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(199,a,4790,a,b,6686,a(flip)),flip(a)]. given #6094 (H,wt=17): 6690 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(199,a,5874,a(flip),b,6679,a(flip)),flip(a)]. given #6095 (H,wt=17): 6692 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6683(a,1),4398(a,1,1)),flip(a)]. given #6096 (H,wt=19): 6682 T(x * ((y \ x) \ 1),y \ x) = x * ((x / y) \ 1). [para(3910(a,1),6674(a,1,2,1)),flip(a)]. given #6097 (H,wt=19): 6695 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(199,a,3881,a(flip),b,6692,a(flip)),flip(a)]. given #6098 (H,wt=21): 6696 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(5826(a,1),6695(a,2,1,1))]. given #6099 (H,wt=19): 6697 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6556(a,1),6696(a,1,1))]. given #6100 (H,wt=22): 6694 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(6690(a,1),5072(a,1,1))]. given #6101 (H,wt=10): 6699 R(x,y \ 1,K(z,y)) = x. [hyper(262,a,6694,a)]. given #6102 (H,wt=10): 6703 R(x,y,K(z,y \ 1)) = x. [hyper(199,a,4505,a(flip),b,6699,a(flip)),flip(a)]. given #6103 (H,wt=10): 6706 R(x,y,K(y \ 1,z)) = x. [para(4738(a,1),6703(a,1,3))]. given #6104 (H,wt=12): 6707 R(x,y \ z,K(u,z \ y)) = x. [para(6005(a,1),6703(a,1,3))]. given #6105 (H,wt=17): 6702 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(199,a,4711,a(flip),b,6699,a(flip)),flip(a)]. given #6106 (H,wt=15): 6710 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(4617(a,1),6702(a,1,2))]. given #6107 (H,wt=15): 6711 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(6710(a,1),63(a,1,1))]. given #6108 (H,wt=15): 6712 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(199,a,6480,a,b,6711,a(flip)),flip(a)]. given #6109 (H,wt=17): 6708 (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). [para(6706(a,1),317(a,1,1))]. given #6110 (H,wt=17): 6713 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(6712(a,1),4131(a,1,1)),flip(a)]. given #6111 (H,wt=17): 6715 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(63(a,1),6713(a,1,1,2,1)),flip(a)]. given #6112 (H,wt=17): 6716 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(6715(a,1),60(a,1,2))]. given #6113 (H,wt=17): 6717 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(199,a,6501,a,b,6716,a(flip))]. given #6114 (H,wt=17): 6718 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(6717(a,1),2216(a,1,1))]. given #6115 (H,wt=19): 6705 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(6703(a,1),101(a,1,1)),flip(a)]. given #6116 (H,wt=10): 6720 a(x,y,K(z,y \ 1)) = 1. [hyper(67,a,6705,a(flip),b,83,a),flip(a)]. given #6117 (H,wt=10): 6721 a(x,y,K(y \ 1,z)) = 1. [para(4738(a,1),6720(a,1,3))]. given #6118 (H,wt=10): 6723 a(x,y \ 1,K(y,z)) = 1. [para(3085(a,1),6721(a,1,3))]. given #6119 (H,wt=12): 6722 a(x,y \ z,K(u,z \ y)) = 1. [para(6005(a,1),6720(a,1,3))]. given #6120 (H,wt=12): 6724 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,6723,a)]. given #6121 (H,wt=16): 6726 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(199,a,5570,a(flip),b,6724,a(flip)),flip(a)]. given #6122 (H,wt=18): 6727 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(6726(a,1),4652(a,2,2))]. given #6123 (H,wt=16): 6728 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(199,a,4652,a,b,6727,a)]. given #6124 (H,wt=19): 6709 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(6707(a,1),421(a,1,1))]. given #6125 (H,wt=23): 6691 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4625(a,1),6681(a,1,2,1))]. given #6126 (H,wt=19): 6730 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4926(a,1),6691(a,1,1,2))]. given #6127 (H,wt=19): 6731 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5125(a,1),6730(a,2,2))]. given #6128 (H,wt=12): 6732 L(x \ 1,K(x,y),z) = x \ 1. [hyper(391,a,6731,a)]. given #6129 (H,wt=23): 6693 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6689(a,1),4479(a,2,1))]. given #6130 (H,wt=23): 6733 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6693(a,1),5616(a,1,2)),flip(a)]. given #6131 (H,wt=19): 6734 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(199,a,5012,a(flip),b,6733,a)]. given #6132 (H,wt=17): 6736 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(199,a,5781,a(flip),b,6734,a(flip)),flip(a)]. given #6133 (H,wt=24): 6677 (x * K(y,z)) * (z \ 1) != u * w | u \ (x * (T(z,y) \ 1)) = w. [para(6673(a,2),492(a,1))]. given #6134 (H,wt=25): 6714 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(6708(a,1),5630(a,2,2,2))]. given #6135 (H,wt=25): 6719 T(x \ T(y,y \ x),T(y,y \ x) \ x) = T((x \ y) \ 1,y) \ 1. [para(6718(a,1),2342(a,2,1))]. given #6136 (H,wt=21): 6737 T(x \ T(y,y \ x),x / y) = T((x \ y) \ 1,y) \ 1. [para(3911(a,1),6719(a,1,2))]. given #6137 (H,wt=25): 6729 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(6709(a,1),6565(a,1,2))]. given #6138 (H,wt=17): 6738 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5365,a,6729,a),flip(a)]. given #6139 (H,wt=11): 6740 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,6738,a)]. given #6140 (H,wt=11): 6742 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),6740(a,1,2,1))]. given #6141 (H,wt=11): 6746 K(x,y * ((z * y) \ z)) = 1. [hyper(36,a,6742,a)]. given #6142 (H,wt=17): 6747 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(35,a,6742,a)]. given #6143 (H,wt=18): 6750 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(145(a,2),6747(a,1,1,2))]. given #6144 (H,wt=17): 6751 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(199,a,5521,a(flip),b,6750,a(flip)),flip(a)]. given #6145 (H,wt=19): 6745 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(340,a,6742,a)]. given #6146 (H,wt=22): 6748 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(6742(a,1),337(a,1))]. given #6147 (H,wt=31): 4975 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(4632(a,1),394(a,1,1)),flip(a)]. given #6148 (H,wt=25): 6755 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4632(a,1),4975(a,2,2))]. given #6149 (H,wt=23): 6756 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(6755(a,2),403(a,1))]. given #6150 (H,wt=31): 5127 K(x * (y * z),a(x,y,z)) * ((((x * y) * z) / (x * (y * z))) \ u) = a(x,y,z) \ u. [para(196(a,2),5077(a,1,2,1))]. given #6151 (H,wt=31): 5547 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5546(a,1),1475(a,1,2,3))]. given #6152 (H,wt=27): 6758 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(4662(a,1),5547(a,1,1))]. given #6153 (H,wt=27): 6759 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1470,a,6758,a)]. given #6154 (H,wt=23): 6760 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(4690(a,1),6759(a,2,1))]. given #6155 (H,wt=22): 6761 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4024(a,1),6760(a,2,1))]. given #6156 (H,wt=21): 6762 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(6604(a,1),6761(a,1,1,2))]. given #6157 (H,wt=16): 6763 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(4740(a,1),6762(a,1,1,2))]. given #6158 (H,wt=16): 6764 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(6763(a,1),1456(a,1,1))]. given #6159 (H,wt=28): 6765 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6096(a,1),6764(a,1,2))]. given #6160 (H,wt=28): 6766 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(4384(a,1),6765(a,1,1))]. given #6161 (H,wt=28): 6767 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6096(a,1),6766(a,1,1,2,1))]. given #6162 (H,wt=31): 6288 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(6224(a,1),429(a,1,2)),flip(a)]. given #6163 (H,wt=25): 6768 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6224(a,1),6288(a,2,1))]. given #6164 (H,wt=20): 6769 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(199,a,30,a,b,6768,a)]. given #6165 (H,wt=24): 6772 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(152(a,1),6769(a,1,2))]. given #6166 (H,wt=20): 6773 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(6199(a,1),6772(a,1,1))]. given #6167 (H,wt=31): 6336 T(x,K(y,(x \ z) \ 1)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(6269(a,1),1155(a,1,1,2))]. given #6168 (H,wt=31): 6663 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(105(a,1),6662(a,1,2,2)),flip(a)]. given #6169 (H,wt=31): 6698 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(6697(a,1),3752(a,2,1))]. given #6170 (H,wt=21): 6774 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(18,a,4453,a(flip),b,6698,a)]. given #6171 (H,wt=32): 5726 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(660(a,1),5724(a,1,1,1))]. given #6172 (H,wt=30): 6775 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5251,a,5726,a),flip(a)]. given #6173 (H,wt=28): 6777 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(199,a,5442,a(flip),b,6775,a)]. given #6174 (H,wt=26): 6778 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5251,a,6777,a)]. given #6175 (H,wt=24): 6779 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(5567,a,6778,a)]. given #6176 (H,wt=32): 6260 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(6228(a,1),3572(a,1,1,2))]. given #6177 (H,wt=19): 6781 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(199,a,4242,a(flip),b,6260,a(flip)),flip(a)]. given #6178 (H,wt=17): 6783 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [para(2054(a,1),6781(a,1,2)),flip(a)]. given #6179 (H,wt=21): 6785 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(6783(a,1),4331(a,1,1)),flip(a)]. given #6180 (H,wt=19): 6786 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(6785(a,1),5221(a,1,2))]. given #6181 (H,wt=23): 6784 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(5680(a,1),6781(a,1,2)),flip(a)]. given #6182 (H,wt=32): 6293 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(6240(a,1),3922(a,1,1,1,2))]. given #6183 (H,wt=33): 4820 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(4642(a,2),1451(a,1,2)),flip(a)]. given #6184 (H,wt=29): 6787 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(4642(a,2),4820(a,1,2,1,2,2))]. given #6185 (H,wt=27): 6788 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(199,a,2172,a(flip),b,6787,a(flip)),flip(a)]. given #6186 (H,wt=25): 6789 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(105(a,1),6788(a,1,1,2))]. given #6187 (H,wt=23): 6790 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4419(a,1),6789(a,1,1))]. given #6188 (H,wt=19): 6791 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(262,a,6790,a),flip(a)]. given #6189 (H,wt=25): 6793 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(6791(a,1),6558(a,1,1))]. given #6190 (H,wt=17): 6794 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(262,a,6793,a)]. given #6191 (H,wt=15): 6795 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(5982,a,6794,a)]. given #6192 (H,wt=13): 6798 K(T(x,y) \ z,x) = K(z / x,x). [hyper(17,a,4934,a,b,6795,a)]. given #6193 (H,wt=13): 6799 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(17,a,221,a,b,6795,a)]. given #6194 (H,wt=13): 6800 K((T(x,y) * z) / x,x) = K(z,x). [hyper(199,a,574,a(flip),b,6798,a(flip))]. given #6195 (H,wt=13): 6805 K(T(x,y) * (x \ z),x) = K(z,x). [hyper(199,a,4935,a(flip),b,6800,a(flip)),flip(a)]. given #6196 (H,wt=11): 6807 K(K(x,y) * z,x) = K(z,x). [para(4628(a,1),6805(a,1,1))]. given #6197 (H,wt=11): 6808 K(K(x,y) * z,y) = K(z,y). [para(4958(a,1),6805(a,1,1))]. given #6198 (H,wt=11): 6809 K(K(x,y) \ z,x) = K(z,x). [para(14(a,1),6807(a,1,1)),flip(a)]. given #6199 (H,wt=11): 6815 K(x,K(y,x) * z) = K(z,x). [hyper(4862,a,6808,a)]. given #6200 (H,wt=11): 6816 K(x,K(y,x) * z) = K(x,z). [hyper(199,a,4738,a,b,6815,a)]. given #6201 (H,wt=11): 6818 K(x,K(y,x) \ z) = K(x,z). [para(14(a,1),6816(a,1,2)),flip(a)]. given #6202 (H,wt=11): 6819 K(x,K(x,y) * z) = K(x,z). [para(4738(a,1),6816(a,1,2,1))]. given #6203 (H,wt=13): 6810 K(x * T(y,z),z) = K(x * y,z). [para(5480(a,1),6807(a,1,1))]. given #6204 (H,wt=13): 6812 K(x \ T(y,z),z) = K(x \ y,z). [para(5313(a,1),6807(a,1,1)),flip(a)]. given #6205 (H,wt=13): 6820 K(x,T(x,y) * z) = K(x,x * z). [para(4632(a,1),6816(a,1,2)),flip(a)]. given #6206 (H,wt=13): 6821 K(x,T(x,y) \ z) = K(x,x \ z). [para(4961(a,1),6816(a,1,2))]. given #6207 (H,wt=13): 6823 K(x,y * T(z,x)) = K(x,y * z). [para(5443(a,1),6816(a,1,2))]. given #6208 (H,wt=13): 6824 T(x,K(x,y) * z) = x * K(x,z). [para(6819(a,1),4652(a,2,2))]. given #6209 (H,wt=11): 6833 T(x,K(x,y) * z) = T(x,z). [hyper(199,a,4652,a,b,6824,a)]. given #6210 (H,wt=11): 6836 T(x,K(y,x) * z) = T(x,z). [para(4738(a,1),6833(a,1,2,1))]. given #6211 (H,wt=13): 6825 K(x,y \ T(y * z,x)) = K(x,z). [para(5312(a,1),6819(a,1,2)),flip(a)]. given #6212 (H,wt=13): 6837 T(x,T(y,x) * z) = T(x,y * z). [para(4632(a,1),6833(a,1,2)),flip(a)]. given #6213 (H,wt=13): 6838 T(x,T(x,y) * z) = T(x,x * z). [para(4669(a,1),6833(a,1,2))]. given #6214 (H,wt=14): 6813 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(5706(a,1),6807(a,1,1,1))]. given #6215 (H,wt=14): 6817 K(x,K(y,x) * z) != u | K(x,z) = u. [para(6815(a,2),4862(a,1))]. given #6216 (H,wt=14): 6822 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5586(a,1),6816(a,1,2,1))]. given #6217 (H,wt=14): 6826 K(x,L(K(x,y),z,u) * w) = K(x,w). [para(5573(a,1),6819(a,1,2,1))]. given #6218 (H,wt=14): 6834 T(x,K(x,y) * z) != u | T(x,z) = u. [para(6824(a,2),4655(a,1))]. given #6219 (H,wt=14): 6835 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(199,a,3054,a(flip),b,6833,a)]. given #6220 (H,wt=14): 6844 L(T(x,y),y,T(x,z)) = T(x,x * y). [hyper(199,a,1092,a,b,6838,a(flip)),flip(a)]. given #6221 (H,wt=14): 6846 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(5835(a,1),6813(a,1,1,1))]. given #6222 (H,wt=14): 6848 K(x,K(x,y) * z) != u | K(x,z) = u. [para(4738(a,1),6817(a,1,2,1))]. given #6223 (H,wt=14): 6849 K(x,y * x) != z | K(x,x * y) = z. [para(4622(a,1),6817(a,1,2))]. given #6224 (H,wt=14): 6853 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(5727(a,1),6822(a,1,2,1))]. given #6225 (H,wt=12): 6862 K(x,T(y,R(x,z,u))) = K(x,y). [para(1055(a,2),6853(a,1,2))]. given #6226 (H,wt=14): 6863 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(4738(a,1),6853(a,1,2,1))]. given #6227 (H,wt=15): 6828 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(107(a,1),6812(a,1,1,2)),flip(a)]. given #6228 (H,wt=15): 6840 T(x,(y / x) * z) = T(x,(x \ y) * z). [para(4972(a,1),6833(a,1,2)),flip(a)]. given #6229 (H,wt=15): 6845 K((K(x,y) * z) * u,x) = K(z * u,x). [para(101(a,1),6813(a,1,1))]. given #6230 (H,wt=16): 6850 K(x,T(x,y) \ z) != u | K(x,x \ z) = u. [para(4961(a,1),6817(a,1,2))]. given #6231 (H,wt=16): 6851 K(x,y * T(z,x)) != u | K(x,y * z) = u. [para(5443(a,1),6817(a,1,2))]. given #6232 (H,wt=16): 6852 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(5438(a,1),6817(a,1,2))]. given #6233 (H,wt=16): 6854 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(4961(a,1),6834(a,1,2))]. given #6234 (H,wt=16): 6856 T(x,y * T(z,x)) != u | T(x,y * z) = u. [para(5480(a,1),6834(a,1,2))]. given #6235 (H,wt=14): 6872 T(x,y * x) != z | T(x,x * y) = z. [para(105(a,1),6856(a,1,2))]. given #6236 (H,wt=16): 6859 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4632(a,1),6846(a,1,1)),flip(a)]. given #6237 (H,wt=17): 6796 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(636,a,6794,a),flip(a)]. given #6238 (H,wt=15): 6873 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(18,a,5939,a,b,6796,a)]. given #6239 (H,wt=13): 6875 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(154,a,6873,a(flip),b,4895,a)]. given #6240 (H,wt=13): 6877 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(5284,a,6875,a)]. given #6241 (H,wt=13): 6878 T(T(x,K(y,z)),z) = T(x,T(z,y)). [hyper(5280,a,6875,a)]. given #6242 (H,wt=13): 6879 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(342,a,6875,a)]. given #6243 (H,wt=13): 6880 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(339,a,6875,a),flip(a)]. given #6244 (H,wt=13): 6889 T(T(x,K(y,z)),T(z,y)) = T(x,z). [hyper(339,a,6877,a),flip(a)]. given #6245 (H,wt=13): 6890 T(T(x,y),T(y,z)) = T(x,K(z,y)). [para(47(a,1),6877(a,1,1)),flip(a)]. given #6246 (H,wt=13): 6893 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(1364(a,1),6878(a,1,1)),flip(a)]. given #6247 (H,wt=13): 6894 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(1911(a,1),6878(a,1,1)),flip(a)]. given #6248 (H,wt=14): 6886 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(6875(a,1),2239(a,1)),flip(b)]. given #6249 (H,wt=14): 6900 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(106(a,1),6886(a,1,2))]. given #6250 (H,wt=15): 6874 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(5966,a,6873,a)]. given #6251 (H,wt=15): 6881 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(107(a,1),6875(a,1,1)),flip(a)]. given #6252 (H,wt=15): 6882 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [para(149(a,1),6875(a,1,1)),flip(a)]. given #6253 (H,wt=15): 6884 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(6875(a,1),163(a,1,2)),flip(a)]. given #6254 (H,wt=15): 6891 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(6877(a,1),163(a,1,2)),flip(a)]. given #6255 (H,wt=15): 6902 T(K(x,y) * z,y) = K(x,y) * T(z,y). [hyper(5888,a,6874,a),flip(a)]. given #6256 (H,wt=15): 6906 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(199,a,6179,a,b,6881,a(flip)),flip(a)]. given #6257 (H,wt=15): 6907 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(6882(a,1),6175(a,1,2)),flip(a)]. given #6258 (H,wt=9): 6914 T(x,K(y,y * x)) = x. [hyper(2968,a,6907,a)]. given #6259 (H,wt=11): 6916 T(x / y,K(y,x)) = x / y. [para(5257(a,1),6914(a,1,2))]. given #6260 (H,wt=15): 6908 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(199,a,6173,a,b,6884,a),flip(a)]. given #6261 (H,wt=15): 6909 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(199,a,6174,a,b,6891,a),flip(a)]. given #6262 (H,wt=15): 6910 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(5884,a,6902,a)]. given #6263 (H,wt=15): 6917 K(x * y,x) * y = y * K(x * y,x). [para(6914(a,1),5270(a,1,2))]. given #6264 (H,wt=13): 6926 T(K(x * y,x),y) = K(x * y,x). [hyper(154,a,6917,a,b,xx)]. given #6265 (H,wt=15): 6918 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [hyper(4418,a,6909,a)]. given #6266 (H,wt=15): 6921 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(13(a,1),6910(a,1,2,1)),flip(a)]. given #6267 (H,wt=15): 6924 T(x * K(y,z),z) = T(x,z) * K(y,z). [para(6910(a,1),5886(a,1,1)),flip(a)]. given #6268 (H,wt=15): 6928 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(1913(a,1),6918(a,1,2)),flip(a)]. given #6269 (H,wt=16): 6887 T(x,T(y,z)) != u | T(T(x,y),K(z,y)) = u. [para(6875(a,1),5284(a,1))]. given #6270 (H,wt=16): 6892 T(x,T(y,z)) != u | T(T(x,y),K(y,z)) = u. [para(6877(a,1),5284(a,1))]. given #6271 (H,wt=16): 6897 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(6880(a,1),339(a,1,1))]. given #6272 (H,wt=16): 6898 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(6889(a,1),339(a,1,1))]. given #6273 (H,wt=16): 6933 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(38(a,1),6897(a,1))]. given #6274 (H,wt=17): 6803 T(x * K(x \ y,x),z) = y / (y / T(x,z)). [para(6799(a,1),5227(a,1,1,2))]. given #6275 (H,wt=15): 6934 x / (x / T(y,z)) = T(x / (x / y),z). [para(4577(a,2),6803(a,1,1)),flip(a)]. given #6276 (H,wt=15): 6937 T(x / (x / y),z) \ x = x / T(y,z). [para(6934(a,1),63(a,1,1))]. given #6277 (H,wt=15): 6939 x / (x / T(y,z)) = T((y \ x) \ x,z). [para(3909(a,1),6934(a,2,1))]. given #6278 (H,wt=15): 6941 x / T(y \ x,z) = T(x / y,z) \ x. [para(60(a,1),6937(a,1,1,1,2)),flip(a)]. given #6279 (H,wt=15): 6942 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(123(a,1),6937(a,1,1,1)),flip(a)]. given #6280 (H,wt=15): 6944 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [hyper(3913,a,6939,a)]. given #6281 (H,wt=15): 6945 T(x / y,z) \ x = y * K(z,y \ x). [hyper(6284,a,6941,a),flip(a)]. given #6282 (H,wt=15): 6947 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(6941(a,1),63(a,1,1))]. given #6283 (H,wt=15): 6948 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(106(a,2),6942(a,1,2,1))]. given #6284 (H,wt=14): 6955 x / L(y,y \ x,y) = T(y,x) \ x. [para(621(a,1),6948(a,1,2))]. given #6285 (H,wt=15): 6954 x / (y * K(z,y \ x)) = T(x / y,z). [para(6945(a,1),60(a,1,2))]. given #6286 (H,wt=17): 6858 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4622(a,1),6846(a,1,1))]. given #6287 (H,wt=17): 6861 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(6383(a,2),6849(a,1))]. given #6288 (H,wt=17): 6864 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4622(a,1),6853(a,1,2)),flip(a)]. given #6289 (H,wt=17): 6865 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(4764(a,1),6853(a,1,2)),flip(a)]. given #6290 (H,wt=17): 6883 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(6875(a,1),166(a,1,1))]. given #6291 (H,wt=17): 6896 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(6879(a,1),4117(a,1,2)),flip(a)]. given #6292 (H,wt=17): 6899 T(T(x,y \ z),z / y) = T(x,K(y,y \ z)). [para(170(a,1),6890(a,1,2))]. given #6293 (H,wt=17): 6903 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(199,a,5960,a,b,6874,a),flip(a)]. given #6294 (H,wt=17): 6904 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(107(a,1),6874(a,2,1))]. given #6295 (H,wt=15): 6962 T(x / T(y,z),y) = (y \ x) * K(y,z). [para(6235(a,1),6904(a,1,1))]. given #6296 (H,wt=15): 6963 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(6295,a,6962,a)]. given #6297 (H,wt=15): 6964 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(199,a,4745,a,b,6962,a)]. given #6298 (H,wt=15): 6965 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(6963(a,1),14(a,1,2))]. given #6299 (H,wt=15): 6968 (x * y) * K(x,z) = x * (y * K(x,z)). [para(13(a,1),6965(a,1,2,1)),flip(a)]. given #6300 (H,wt=8): 6972 R(x,y,K(x,z)) = x. [hyper(4509,a,6968,a)]. given #6301 (H,wt=8): 6974 a(x,y,K(x,z)) = 1. [hyper(67,a,6968,a(flip),b,83,a),flip(a)]. given #6302 (H,wt=8): 6981 R(x,y,K(z,x)) = x. [para(4738(a,1),6972(a,1,3))]. given #6303 (H,wt=8): 6984 a(x,y,K(z,x)) = 1. [para(4738(a,1),6974(a,1,3))]. given #6304 (H,wt=10): 6973 L(K(x,y),z,x) = K(x,y). [hyper(4498,a,6968,a)]. given #6305 (H,wt=10): 6990 L(K(x,y),z,y) = K(x,y). [hyper(33,a,6984,a)]. given #6306 (H,wt=10): 6993 K(x,L(y,z,x)) = K(x,y). [hyper(199,a,6387,a(flip),b,6973,a(flip)),flip(a)]. given #6307 (H,wt=10): 6994 K(L(x,y,x),z) = K(x,z). [hyper(199,a,6381,a(flip),b,6973,a(flip)),flip(a)]. given #6308 (H,wt=10): 6998 K(x,L(y,z,y)) = K(x,y). [hyper(199,a,6387,a(flip),b,6990,a(flip)),flip(a)]. given #6309 (H,wt=10): 6999 K(L(x,y,z),z) = K(x,z). [hyper(199,a,6381,a(flip),b,6990,a(flip)),flip(a)]. given #6310 (H,wt=10): 7008 K(R(x,y,x),z) = K(x,z). [para(4028(a,2),6994(a,1,1))]. given #6311 (H,wt=10): 7010 K(x,R(y,z,y)) = K(x,y). [para(4028(a,2),6998(a,1,2))]. given #6312 (H,wt=10): 7016 R(K(x,y),z,x) = K(x,y). [hyper(199,a,5836,a(flip),b,7008,a(flip)),flip(a)]. given #6313 (H,wt=10): 7025 K(x,R(y,z,x)) = K(x,y). [hyper(199,a,5727,a(flip),b,7016,a(flip)),flip(a)]. given #6314 (H,wt=11): 6983 R(x,y,T(x,z)) = R(x,y,x). [para(6972(a,1),6584(a,1,1)),flip(a)]. given #6315 (H,wt=12): 6977 R(T(x,y),z,K(x,u)) = T(x,y). [para(6972(a,1),42(a,2,1))]. given #6316 (H,wt=12): 7012 T(x,L(y,z,y)) = x * K(x,y). [para(6998(a,1),4652(a,2,2))]. given #6317 (H,wt=10): 7037 T(x,L(y,z,y)) = T(x,y). [hyper(199,a,4652,a,b,7012,a)]. given #6318 (H,wt=10): 7044 T(x,R(y,z,y)) = T(x,y). [para(4028(a,2),7037(a,1,2))]. given #6319 (H,wt=12): 7018 x * K(R(x,y,x),z) = T(x,z). [para(7008(a,2),4652(a,2,2)),flip(a)]. given #6320 (H,wt=12): 7020 K(x,R(y,z,y)) = 1 / K(y,x). [para(7008(a,1),4911(a,1,2)),flip(a)]. given #6321 (H,wt=12): 7029 T(x,R(y,z,x)) = x * K(x,y). [para(7025(a,1),4652(a,2,2))]. given #6322 (H,wt=10): 7053 T(x,R(y,z,x)) = T(x,y). [hyper(199,a,4652,a,b,7029,a)]. given #6323 (H,wt=12): 7048 T(x / y,R(y,z,y)) = y \ x. [hyper(199,a,107,a(flip),b,7044,a)]. given #6324 (H,wt=13): 6970 K(x,(x \ 1) \ y) = K(x,x * y). [hyper(6485,a,6968,a),flip(a)]. given #6325 (H,wt=13): 7009 K(x,T(y \ z,z)) = K(x,z / y). [para(681(a,1),6998(a,1,2))]. given #6326 (H,wt=13): 7011 K(x,T(y / z,y)) = K(x,z \ y). [para(3920(a,1),6998(a,1,2))]. given #6327 (H,wt=13): 7043 T(x,T(y \ z,z)) = T(x,z / y). [para(681(a,1),7037(a,1,2))]. given #6328 (H,wt=13): 7045 T(x,T(y / z,y)) = T(x,z \ y). [para(3920(a,1),7037(a,1,2))]. given #6329 (H,wt=13): 7046 T(x,T(y,y * z)) = T(x,T(y,z)). [para(6844(a,1),7037(a,1,2))]. given #6330 (H,wt=13): 7052 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7020(a,2),4917(a,1))]. given #6331 (H,wt=13): 7069 K(x,y / (y / z)) = K(x,T(z,y)). [para(63(a,1),7009(a,1,2,1)),flip(a)]. given #6332 (H,wt=13): 7070 K(x,T(y / z,y)) = K(z \ y,x). [hyper(199,a,4738,a,b,7011,a)]. given #6333 (H,wt=13): 7071 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(60(a,1),7011(a,1,2,1)),flip(a)]. given #6334 (H,wt=11): 7084 K(x,T(y,z)) = T(K(x,y),z). [hyper(199,a,6056,a(flip),b,7071,a(flip))]. given #6335 (H,wt=11): 7097 K(x,T(y,K(x,z))) = K(x,y). [hyper(199,a,4748,a(flip),b,7084,a)]. given #6336 (H,wt=11): 7100 K(x,T(y,x \ 1)) = K(x,y). [hyper(199,a,1363,a(flip),b,7084,a)]. given #6337 (H,wt=11): 7104 T(K(x,T(y,z)),z) = K(x,y). [para(7084(a,2),47(a,1,1))]. given #6338 (H,wt=11): 7116 K(x,T(y,z)) = T(K(y,x),z). [para(4738(a,1),7084(a,2,1))]. given #6339 (H,wt=11): 7129 K(x,T(T(y,z),z)) = K(x,y). [hyper(199,a,7084,a,b,7104,a(flip)),flip(a)]. given #6340 (H,wt=11): 7133 K(T(x,y),z) = T(K(x,z),y). [hyper(4862,a,7116,a)]. given #6341 (H,wt=11): 7134 K(x,T(y,z)) = K(y,T(x,z)). [hyper(199,a,7084,a,b,7116,a)]. given #6342 (H,wt=10): 7156 a(x,y,K(z,T(y,u))) = 1. [para(7134(a,1),5995(a,1,3))]. given #6343 (H,wt=10): 7162 R(x,y,K(z,T(x,u))) = x. [para(7134(a,1),6972(a,1,3))]. given #6344 (H,wt=10): 7164 a(x,T(y,z),K(u,y)) = 1. [para(47(a,1),7156(a,1,3,2))]. given #6345 (H,wt=11): 7137 K(x,T(T(y,z),z)) = K(y,x). [hyper(199,a,4738,a,b,7129,a)]. given #6346 (H,wt=11): 7141 K(T(x,y),z) = K(x,T(z,y)). [hyper(199,a,7084,a,b,7133,a)]. given #6347 (H,wt=11): 7143 K(T(x,y),T(z,y)) = K(x,z). [hyper(199,a,7104,a(flip),b,7133,a)]. given #6348 (H,wt=10): 7216 R(x,T(y,z),K(y,u)) = x. [para(7143(a,1),5973(a,1,3))]. given #6349 (H,wt=11): 7145 K(T(x,K(y,z)),y) = K(x,y). [hyper(199,a,1911,a(flip),b,7133,a)]. given #6350 (H,wt=12): 7167 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,7164,a)]. given #6351 (H,wt=12): 7201 R(x,y \ 1,K(z,T(y,u))) = x. [para(7141(a,1),6699(a,1,3))]. given #6352 (H,wt=12): 7215 L(x,T(T(y,z),u),K(w,y)) = x. [para(7143(a,1),5738(a,1,3))]. given #6353 (H,wt=12): 7221 R(x,(y * z) / y,K(z,u)) = x. [para(185(a,1),7216(a,1,2))]. given #6354 (H,wt=13): 7073 T(x,y / (y / z)) = T(x,T(z,y)). [para(63(a,1),7043(a,1,2,1)),flip(a)]. given #6355 (H,wt=13): 7074 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(60(a,1),7045(a,1,2,1)),flip(a)]. given #6356 (H,wt=13): 7078 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(14(a,1),7046(a,1,2,2)),flip(a)]. given #6357 (H,wt=13): 7079 K(x,L(y,z,y)) != u | K(x,y) = u. [para(4028(a,1),7052(a,1,2))]. given #6358 (H,wt=13): 7080 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(3905(a,2),7069(a,1,2))]. given #6359 (H,wt=13): 7085 K(x,T(y,z * y)) = K(x,T(y,z)). [para(3953(a,2),7071(a,1,2)),flip(a)]. given #6360 (H,wt=13): 7089 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(199,a,6069,a,b,7084,a),flip(a)]. given #6361 (H,wt=13): 7095 K(x \ y,T(z,y)) = K(y / x,z). [hyper(199,a,6094,a(flip),b,7084,a)]. given #6362 (H,wt=13): 7096 K(x / y,T(z,x)) = K(y \ x,z). [hyper(199,a,6067,a(flip),b,7084,a)]. given #6363 (H,wt=13): 7099 K(x,T(y,T(T(x,z),u))) = K(x,y). [hyper(199,a,3113,a(flip),b,7084,a)]. given #6364 (H,wt=13): 7101 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(199,a,185,a(flip),b,7084,a),flip(a)]. given #6365 (H,wt=13): 7105 x * K(y,T(z,x)) = K(y,z) * x. [para(7084(a,2),105(a,1,2))]. given #6366 (H,wt=13): 7106 K(x,T(y,z)) * z = z * K(x,y). [para(7084(a,2),166(a,1,1))]. given #6367 (H,wt=11): 7268 K(x * K(y,z),y) = K(x,y). [para(7106(a,1),6807(a,1,1))]. given #6368 (H,wt=11): 7269 K(x,y * K(x,z)) = K(x,y). [para(7106(a,1),6819(a,1,2))]. given #6369 (H,wt=11): 7270 T(x,y * K(x,z)) = T(x,y). [para(7106(a,1),6833(a,1,2))]. given #6370 (H,wt=11): 7272 K(x * K(y,z),z) = K(x,z). [para(4738(a,1),7268(a,1,1,2))]. given #6371 (H,wt=11): 7279 K(x,K(y,x * K(y,z))) = 1. [para(7269(a,2),2967(a,1,2))]. given #6372 (H,wt=11): 7280 K(x,y * K(z,x)) = K(x,y). [para(4738(a,1),7269(a,1,2,2))]. given #6373 (H,wt=11): 7287 T(x,y * K(z,x)) = T(x,y). [para(4738(a,1),7270(a,1,2,2))]. given #6374 (H,wt=13): 7107 T(K(x,y \ z),y) = K(x,z / y). [para(170(a,1),7084(a,1,2)),flip(a)]. given #6375 (H,wt=13): 7115 x * T(K(x,y),z) = T(x,T(y,z)). [para(7084(a,1),4652(a,2,2)),flip(a)]. given #6376 (H,wt=13): 7127 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6877(a,1),7097(a,1,2))]. given #6377 (H,wt=13): 7138 K(x,T(y \ z,y)) = K(x,z / y). [para(107(a,1),7129(a,1,2,1))]. given #6378 (H,wt=13): 7139 K(x,(y * z) / y) = K(x,T(z,y)). [para(149(a,1),7129(a,1,2,1)),flip(a)]. given #6379 (H,wt=13): 7140 T(K(x \ y,z),x) = K(y / x,z). [hyper(6208,a,7133,a),flip(a)]. given #6380 (H,wt=13): 7142 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(199,a,6069,a,b,7133,a),flip(a)]. given #6381 (H,wt=13): 7144 K(T(x,y),y / z) = K(x,z \ y). [hyper(199,a,6034,a(flip),b,7133,a)]. given #6382 (H,wt=13): 7146 x * K(T(y,x),z) = K(y,z) * x. [para(7133(a,2),105(a,1,2))]. given #6383 (H,wt=13): 7147 K(T(x,y),z) * y = y * K(x,z). [para(7133(a,2),166(a,1,1))]. given #6384 (H,wt=13): 7169 K(x \ y,T(z,x)) = K(y / x,z). [hyper(6208,a,7141,a),flip(a)]. given #6385 (H,wt=13): 7170 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5031,a,7141,a)]. given #6386 (H,wt=13): 7171 K(x,y / (y / z)) = K(T(x,y),z). [hyper(199,a,7069,a,b,7141,a),flip(a)]. given #6387 (H,wt=13): 7172 K(T(x,y),z \ y) = K(x,y / z). [hyper(199,a,7009,a(flip),b,7141,a)]. given #6388 (H,wt=13): 7176 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(199,a,6098,a(flip),b,7141,a(flip))]. given #6389 (H,wt=13): 7179 K(x / y,T(z,y)) = K(y \ x,z). [para(107(a,1),7141(a,1,1)),flip(a)]. given #6390 (H,wt=13): 7180 K(T(x,y),z / y) = K(x,y \ z). [para(107(a,1),7141(a,2,2))]. given #6391 (H,wt=13): 7181 K(T(x,y),y \ z) = K(x,z / y). [para(170(a,1),7141(a,2,2))]. given #6392 (H,wt=13): 7182 K((x * y) / x,z) = K(y,T(z,x)). [para(185(a,1),7141(a,1,1))]. given #6393 (H,wt=13): 7183 K(x,(y * z) / y) = K(T(x,y),z). [para(185(a,1),7141(a,2,2)),flip(a)]. given #6394 (H,wt=13): 7188 K(T(x,y),K(y,z)) = K(x,K(y,z)). [para(3087(a,1),7141(a,2,2))]. given #6395 (H,wt=13): 7190 x * K(T(x,y),z) = T(x,T(z,y)). [para(7141(a,2),4652(a,2,2)),flip(a)]. given #6396 (H,wt=13): 7191 K(x * K(y,x),z) = K(x,T(z,y)). [para(4685(a,1),7141(a,1,1))]. given #6397 (H,wt=13): 7210 x * K(T(x,y),T(z,y)) = T(x,z). [para(7143(a,2),4652(a,2,2)),flip(a)]. given #6398 (H,wt=13): 7218 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7143(a,1),6441(a,1,2))]. given #6399 (H,wt=13): 7224 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(6877(a,1),7145(a,1,1))]. given #6400 (H,wt=13): 7234 L(K(x,y),z,y) != u | K(x,y) = u. [para(6385(a,1),7079(a,1))]. given #6401 (H,wt=13): 7250 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(6243,a,7105,a)]. given #6402 (H,wt=13): 7275 K(x * T(y,z),y) = K(x * y,y). [para(5948(a,1),7268(a,1,1))]. given #6403 (H,wt=13): 7277 K(x * K(y,T(z,u)),z) = K(x,z). [para(7134(a,1),7268(a,1,1,2))]. given #6404 (H,wt=13): 7290 T(x,y / T(z,x)) = T(x,y / z). [para(5936(a,1),7270(a,1,2)),flip(a)]. given #6405 (H,wt=13): 7291 T(x,y * T(x,z)) = T(x,y * x). [para(5948(a,1),7270(a,1,2))]. given #6406 (H,wt=13): 7293 K(x * K(y,z),z) = 1 / K(z,x). [hyper(199,a,4911,a,b,7272,a)]. given #6407 (H,wt=13): 7312 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(6243,a,7146,a)]. given #6408 (H,wt=13): 7313 x * K(T(y,x),z) = K(z,y) \ x. [hyper(199,a,5008,a,b,7146,a)]. given #6409 (H,wt=13): 7314 (K(x,y) * z) \ z = K(y,T(x,z)). [para(7146(a,1),6232(a,1,1))]. given #6410 (H,wt=13): 7317 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(5037,a,7147,a)]. given #6411 (H,wt=13): 7326 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(199,a,7084,a,b,7176,a)]. given #6412 (H,wt=13): 7327 T(K(x,y),x * z) = K(x,T(y,z)). [para(13(a,1),7176(a,1,2,2)),flip(a)]. given #6413 (H,wt=13): 7349 K(x * T(y,z),y) = K(y * x,y). [hyper(199,a,5337,a(flip),b,7275,a)]. given #6414 (H,wt=13): 7352 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(199,a,4043,a(flip),b,7291,a)]. given #6415 (H,wt=13): 7354 (K(x,y) \ z) \ z = K(x,T(y,z)). [para(7313(a,1),6232(a,1,1))]. given #6416 (H,wt=13): 7356 K(x,T(y,x * z)) = K(x,T(y,z)). [para(13(a,1),7326(a,1,2,2)),flip(a)]. given #6417 (H,wt=13): 7361 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),7349(a,1,1)),flip(a)]. given #6418 (H,wt=13): 7362 T(x,x * (y / T(x,z))) = T(x,y). [para(64(a,1),7352(a,1,2)),flip(a)]. given #6419 (H,wt=14): 6978 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6972(a,1),46(a,1,1)),flip(a)]. given #6420 (H,wt=14): 6986 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(6981(a,1),46(a,1,1)),flip(a)]. given #6421 (H,wt=14): 6992 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(199,a,13,a,b,6973,a)]. given #6422 (H,wt=13): 7367 L(K(x,y),z,x) != u | K(x,y) = u. [para(6992(a,2),254(a,1)),flip(b)]. given #6423 (H,wt=13): 7370 K(L(x,y,x),z) != u | K(x,z) = u. [para(6381(a,1),7367(a,1))]. given #6424 (H,wt=14): 7007 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(6387(a,1),6993(a,1,2))]. given #6425 (H,wt=14): 7030 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(5727(a,1),7025(a,1,2))]. given #6426 (H,wt=14): 7075 T(x,y \ x) != z | T(x,x / y) = z. [para(7045(a,1),3980(a,1))]. given #6427 (H,wt=14): 7108 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7084(a,2),338(a,1,1)),flip(b)]. given #6428 (H,wt=14): 7132 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7104(a,1),338(a,1,1)),flip(b)]. given #6429 (H,wt=14): 7135 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7116(a,1),4862(a,1))]. given #6430 (H,wt=14): 7152 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7134(a,1),4862(a,1))]. given #6431 (H,wt=14): 7163 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(33,a,7156,a)]. given #6432 (H,wt=14): 7168 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7137(a,2),4862(a,1))]. given #6433 (H,wt=14): 7186 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(734(a,1),7141(a,1,1)),flip(a)]. given #6434 (H,wt=14): 7193 K(x,T(y,z)) != u | K(y,T(x,z)) = u. [para(7141(a,1),4862(a,1))]. given #6435 (H,wt=14): 7227 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(4625(a,1),7201(a,1,3,2))]. given #6436 (H,wt=12): 7391 R(x,y \ K(y,z),K(u,y)) = x. [para(4845(a,1),7227(a,1,2))]. given #6437 (H,wt=14): 7247 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7101(a,1),266(a,1))]. given #6438 (H,wt=14): 7271 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7106(a,1),6848(a,1,2))]. given #6439 (H,wt=13): 7397 L(K(x,y),y,z) != u | K(x,y) = u. [para(6003(a,2),7271(a,1))]. given #6440 (H,wt=14): 7273 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5573(a,1),7268(a,1,1,2))]. given #6441 (H,wt=14): 7281 K(x,y * L(K(x,z),u,w)) = K(x,y). [para(5573(a,1),7269(a,1,2,2))]. given #6442 (H,wt=14): 7288 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5573(a,1),7270(a,1,2,2))]. given #6443 (H,wt=14): 7319 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7147(a,1),6817(a,1,2))]. given #6444 (H,wt=14): 7320 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7147(a,1),6853(a,1,2))]. given #6445 (H,wt=14): 7353 K(x * K(y,z),z) != u | K(x,z) = u. [para(7293(a,2),4917(a,1))]. given #6446 (H,wt=14): 7377 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7133(a,2),7108(a,1))]. given #6447 (H,wt=14): 7382 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7133(a,2),7132(a,1))]. given #6448 (H,wt=14): 7402 K(x * K(L(y,z,u),w),y) = K(x,y). [para(6381(a,1),7273(a,1,1,2))]. given #6449 (H,wt=14): 7405 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6381(a,1),7288(a,1,2,2))]. given #6450 (H,wt=14): 7409 K(x * y,y) != z | K(y * x,y) = z. [para(85(a,1),7353(a,1,1))]. given #6451 (H,wt=14): 7411 K(x * y,x) != z | K(y * x,x) = z. [para(4746(a,1),7353(a,1,1))]. given #6452 (H,wt=14): 7412 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(7313(a,1),7353(a,1,1))]. given #6453 (H,wt=14): 7427 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7105(a,1),7402(a,1,1))]. given #6454 (H,wt=14): 7430 K(K(x,y) * z,x) != u | K(z,x) = u. [para(5028(a,1),7412(a,1,1))]. given #6455 (H,wt=15): 6971 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(6483,a,6968,a),flip(a)]. given #6456 (H,wt=15): 6987 (x * y) * K(z,x) = x * (y * K(z,x)). [para(6981(a,1),101(a,1,1)),flip(a)]. given #6457 (H,wt=15): 6991 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(6551,a,6973,a)]. given #6458 (H,wt=15): 6997 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6550,a,6990,a)]. given #6459 (H,wt=15): 7000 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(199,a,6368,a(flip),b,6990,a(flip))]. given #6460 (H,wt=15): 7017 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7008(a,1),4652(a,2,2)),flip(a)]. given #6461 (H,wt=15): 7019 x * K(R(x,y,x),z) != u | T(x,z) = u. [para(7008(a,2),4655(a,1,2))]. given #6462 (H,wt=15): 7023 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7008(a,1),5840(a,1,1)),flip(a)]. given #6463 (H,wt=8): 7447 L(x,y,K(x,z)) = x. [hyper(4498,a,7023,a)]. given #6464 (H,wt=8): 7456 L(x,y,K(z,x)) = x. [para(4738(a,1),7447(a,1,3))]. given #6465 (H,wt=11): 7458 L(x,y,R(K(x,z),u,w)) = x. [para(5706(a,1),7447(a,1,3))]. given #6466 (H,wt=11): 7467 L(x,y,K(R(x,z,u),w)) = x. [para(5835(a,1),7458(a,1,3))]. given #6467 (H,wt=12): 7459 L(K(x,y),z,K(x,u)) = K(x,y). [para(7447(a,1),6379(a,1,1)),flip(a)]. given #6468 (H,wt=12): 7460 L(K(x,y),z,K(y,u)) = K(x,y). [para(7447(a,1),6385(a,1,2)),flip(a)]. given #6469 (H,wt=12): 7465 L(K(x,y),z,K(u,x)) = K(x,y). [para(7456(a,1),6379(a,1,1)),flip(a)]. given #6470 (H,wt=12): 7466 L(K(x,y),z,K(u,y)) = K(x,y). [para(7456(a,1),6385(a,1,2)),flip(a)]. given #6471 (H,wt=12): 7469 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(199,a,6387,a(flip),b,7459,a(flip)),flip(a)]. given #6472 (H,wt=12): 7471 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(199,a,6387,a(flip),b,7465,a(flip)),flip(a)]. given #6473 (H,wt=12): 7472 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(199,a,6381,a(flip),b,7466,a(flip)),flip(a)]. given #6474 (H,wt=14): 7452 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(7447(a,1),45(a,1,1)),flip(a)]. given #6475 (H,wt=11): 7477 L(x,y,K(z,x)) != u | u = x. [para(7452(a,1),6638(a,1))]. given #6476 (H,wt=14): 7463 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7456(a,1),45(a,1,1)),flip(a)]. given #6477 (H,wt=11): 7478 L(x,y,T(x,z)) = L(x,y,x). [hyper(6756,a,7463,a),flip(a)]. given #6478 (H,wt=15): 7026 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(199,a,5715,a(flip),b,7016,a(flip)),flip(a)]. given #6479 (H,wt=15): 7036 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(6977(a,1),6584(a,1,1)),flip(a)]. given #6480 (H,wt=14): 7484 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7036(a,1),7010(a,1,2))]. given #6481 (H,wt=15): 7038 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(337,a,7037,a),flip(a)]. given #6482 (H,wt=15): 7040 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(7037(a,1),105(a,1,2))]. given #6483 (H,wt=15): 7047 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(337,a,7044,a),flip(a)]. given #6484 (H,wt=15): 7049 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7044(a,1),105(a,1,2))]. given #6485 (H,wt=15): 7060 T(x,(y * x) / z) = T(x,y / (z / x)). [para(446(a,1),7053(a,1,2))]. given #6486 (H,wt=15): 7091 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(199,a,5417,a,b,7084,a),flip(a)]. given #6487 (H,wt=15): 7092 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(199,a,5389,a,b,7084,a),flip(a)]. given #6488 (H,wt=15): 7093 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(199,a,5288,a,b,7084,a),flip(a)]. given #6489 (H,wt=15): 7094 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(199,a,5287,a,b,7084,a),flip(a)]. given #6490 (H,wt=15): 7098 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(199,a,4685,a(flip),b,7084,a),flip(a)]. given #6491 (H,wt=15): 7102 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,7084,a)]. given #6492 (H,wt=15): 7103 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),7084(a,1,2))]. given #6493 (H,wt=15): 7118 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7084(a,2),5344(a,1,2))]. given #6494 (H,wt=15): 7128 K(x \ y,T(z,y \ x)) = K(x \ y,z). [para(6132(a,1),7100(a,1,2))]. given #6495 (H,wt=15): 7136 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7116(a,1),5480(a,1,1))]. given #6496 (H,wt=15): 7148 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7133(a,1),5286(a,1,2)),flip(a)]. given #6497 (H,wt=15): 7149 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7133(a,2),7097(a,1,2))]. given #6498 (H,wt=15): 7150 x * K(T(y,z),u) = x * K(y,T(u,z)). [para(7134(a,1),4745(a,1,2)),flip(a)]. given #6499 (H,wt=15): 7151 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [para(7134(a,1),4775(a,2,2))]. given #6500 (H,wt=15): 7155 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(7134(a,1),5480(a,1,1))]. given #6501 (H,wt=15): 7177 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),7141(a,2,2))]. given #6502 (H,wt=15): 7184 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(117(a,1),7141(a,1,1)),flip(a)]. given #6503 (H,wt=15): 7189 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(3905(a,1),7141(a,2,2))]. given #6504 (H,wt=15): 7194 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7141(a,1),4721(a,1,1))]. given #6505 (H,wt=15): 7202 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(6833(a,1),7141(a,1,1)),flip(a)]. given #6506 (H,wt=15): 7209 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [para(7143(a,1),4652(a,2,2))]. given #6507 (H,wt=15): 7211 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7143(a,1),4660(a,2,1))]. given #6508 (H,wt=15): 7219 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7143(a,1),6808(a,1,1,1))]. given #6509 (H,wt=15): 7230 T(x,(y * z) / y) = T(x,y / (y / z)). [hyper(199,a,5129,a,b,7073,a),flip(a)]. given #6510 (H,wt=15): 7237 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(3865(a,1),7080(a,1,2))]. given #6511 (H,wt=15): 7238 K(x / y,x \ z) = K(y \ x,z / x). [para(170(a,1),7095(a,1,2)),flip(a)]. given #6512 (H,wt=15): 7242 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7096(a,1),3860(a,1,3))]. given #6513 (H,wt=15): 7246 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7099(a,1),4660(a,2,1))]. given #6514 (H,wt=13): 7509 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(199,a,4660,a,b,7246,a)]. given #6515 (H,wt=15): 7249 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6334,a,7105,a)]. given #6516 (H,wt=15): 7251 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(68,a,7105,a,b,4631,a)]. given #6517 (H,wt=15): 7255 K(x,y / z) * z = z * K(x,z \ y). [para(107(a,1),7105(a,1,2,2)),flip(a)]. given #6518 (H,wt=15): 7259 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5356,a,7106,a)]. given #6519 (H,wt=15): 7260 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(18,a,5783,a,b,7106,a)]. given #6520 (H,wt=15): 7262 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(18,a,5648,a(flip),b,7106,a)]. given #6521 (H,wt=15): 7263 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(69,a,7106,a(flip),b,4628,a)]. given #6522 (H,wt=15): 7265 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7106(a,1),4626(a,1,2)),flip(a)]. given #6523 (H,wt=15): 7282 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(5943(a,1),7269(a,1,2)),flip(a)]. given #6524 (H,wt=15): 7283 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(6491(a,1),7269(a,1,2)),flip(a)]. given #6525 (H,wt=15): 7292 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(5943(a,1),7270(a,1,2)),flip(a)]. given #6526 (H,wt=15): 7296 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(199,a,6875,a,b,7115,a),flip(a)]. given #6527 (H,wt=15): 7297 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(107(a,1),7127(a,1,2,2)),flip(a)]. given #6528 (H,wt=13): 7523 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(199,a,7326,a(flip),b,7297,a)]. given #6529 (H,wt=13): 7524 K(x,T(y,z / x)) = T(K(x,y),z). [hyper(199,a,7176,a(flip),b,7297,a)]. given #6530 (H,wt=13): 7526 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),7523(a,1,2,2)),flip(a)]. given #6531 (H,wt=13): 7529 T(K(x,y),z * x) = K(x,T(y,z)). [para(15(a,1),7524(a,1,2,2)),flip(a)]. given #6532 (H,wt=13): 7534 T(K(x,y),z * x) = T(K(x,y),z). [hyper(199,a,7084,a(flip),b,7529,a)]. given #6533 (H,wt=15): 7304 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(199,a,5442,a,b,7140,a)]. given #6534 (H,wt=15): 7321 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(6054,a,7169,a)]. given #6535 (H,wt=12): 7539 R(x,y \ z,K(y / z,u)) = x. [para(7321(a,1),6706(a,1,3))]. given #6536 (H,wt=15): 7328 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(199,a,5450,a(flip),b,7179,a(flip))]. given #6537 (H,wt=15): 7350 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(85(a,1),7277(a,1,1)),flip(a)]. given #6538 (H,wt=15): 7351 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5431(a,1),7277(a,1,1))]. given #6539 (H,wt=15): 7358 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7326(a,1),4652(a,2,2))]. given #6540 (H,wt=13): 7543 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(199,a,4652,a,b,7358,a)]. given #6541 (H,wt=11): 7545 T(x,T(y,x \ y)) = T(x,y). [para(104(a,1),7543(a,2,2))]. given #6542 (H,wt=13): 7549 T(x,T(x * y,y)) = T(x,x * y). [para(13(a,1),7545(a,1,2,2))]. given #6543 (H,wt=15): 7401 K(x * (y * K(z,u)),z) = K(x * y,z). [para(92(a,1),7273(a,1,1))]. given #6544 (H,wt=15): 7403 K(x,y * (z * K(u,x))) = K(x,y * z). [para(6455(a,1),7281(a,1,2)),flip(a)]. given #6545 (H,wt=15): 7404 T(x,y * (z * K(x,u))) = T(x,y * z). [para(92(a,1),7288(a,1,2))]. given #6546 (H,wt=15): 7432 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(199,a,6518,a(flip),b,6971,a(flip)),flip(a)]. given #6547 (H,wt=15): 7435 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(199,a,6352,a,b,6991,a(flip)),flip(a)]. given #6548 (H,wt=15): 7441 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(199,a,6350,a,b,6997,a(flip)),flip(a)]. given #6549 (H,wt=15): 7443 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),6997(a,1,1,1)),flip(a)]. given #6550 (H,wt=15): 7446 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(199,a,42,a,b,7017,a)]. given #6551 (H,wt=15): 7449 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(199,a,4899,a(flip),b,7023,a)]. given #6552 (H,wt=15): 7464 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7456(a,1),92(a,1,2))]. given #6553 (H,wt=15): 7480 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(7478(a,1),40(a,2,1))]. given #6554 (H,wt=15): 7494 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(7084(a,1),7103(a,2,1))]. given #6555 (H,wt=15): 7497 K(x,y) * (z * x) = z * T(x,T(y,z)). [para(7104(a,1),7136(a,1,1))]. given #6556 (H,wt=15): 7500 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(69,a,7155,a(flip),b,4899,a(flip))]. given #6557 (H,wt=15): 7502 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(199,a,7141,a(flip),b,7202,a)]. given #6558 (H,wt=15): 7503 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(199,a,4957,a,b,7209,a)]. given #6559 (H,wt=15): 7508 K(x / y,z \ y) = K(y / z,y \ x). [hyper(199,a,4738,a,b,7238,a),flip(a)]. given #6560 (H,wt=15): 7518 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(199,a,7026,a,b,7282,a(flip)),flip(a)]. given #6561 (H,wt=15): 7519 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(4738(a,1),7283(a,1,2,1,1))]. given #6562 (H,wt=15): 7521 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(199,a,7060,a,b,7292,a(flip)),flip(a)]. given #6563 (H,wt=15): 7528 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4091(a,1),7523(a,1,2))]. given #6564 (H,wt=15): 7533 T(K(x,y),z * x) = T(K(x,y),x * z). [hyper(199,a,7327,a,b,7529,a)]. given #6565 (H,wt=15): 7541 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(199,a,7091,a,b,7328,a),flip(a)]. given #6566 (H,wt=15): 7552 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7105(a,1),7401(a,1,1,2))]. given #6567 (H,wt=15): 7555 T(x,y * (z * x)) = T(x,y * (x * z)). [para(85(a,1),7404(a,1,2,2)),flip(a)]. given #6568 (H,wt=15): 7556 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(14(a,1),7432(a,2,2,2))]. given #6569 (H,wt=15): 7566 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(199,a,40,a,b,7480,a)]. given #6570 (H,wt=15): 7571 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(4738(a,1),7502(a,1,2,2,1))]. given #6571 (H,wt=15): 7572 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7106(a,1),7502(a,1,2,2))]. given #6572 (H,wt=15): 7573 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(68,a,5130,a(flip),b,7503,a(flip))]. given #6573 (H,wt=15): 7577 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(7106(a,1),7519(a,1,2,1))]. given #6574 (H,wt=15): 7578 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(6160,a,7541,a)]. given #6575 (H,wt=15): 7583 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(199,a,5653,a,b,7566,a(flip)),flip(a)]. given #6576 (H,wt=15): 7585 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(199,a,7084,a(flip),b,7571,a)]. given #6577 (H,wt=15): 7590 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [hyper(7247,a,7585,a)]. given #6578 (H,wt=16): 7004 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),6993(a,1,2))]. given #6579 (H,wt=16): 7013 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),6999(a,1,1))]. given #6580 (H,wt=16): 7083 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7070(a,2),4862(a,1))]. given #6581 (H,wt=16): 7114 T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. [para(7084(a,2),3980(a,1,2))]. given #6582 (H,wt=16): 7122 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7084(a,2),6097(a,1))]. given #6583 (H,wt=16): 7131 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7104(a,1),156(a,1,2)),flip(b)]. given #6584 (H,wt=16): 7173 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(5141,a,7141,a(flip)),flip(a)]. given #6585 (H,wt=16): 7192 x / K(y,T(x,z)) != u | T(x,T(y,z)) = u. [para(7141(a,1),4613(a,1,2))]. given #6586 (H,wt=16): 7197 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7141(a,1),6208(a,1))]. given #6587 (H,wt=16): 7212 x * K(T(x,y),T(z,y)) != u | T(x,z) = u. [para(7143(a,2),4655(a,1,2))]. given #6588 (H,wt=14): 7595 T(x,T(T(y,z),z)) != u | T(x,y) = u. [para(7190(a,1),7212(a,1))]. given #6589 (H,wt=16): 7233 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(681(a,1),7079(a,1,2))]. given #6590 (H,wt=16): 7235 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(6844(a,1),7079(a,1,2))]. given #6591 (H,wt=16): 7253 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7105(a,1),19(a,1))]. given #6592 (H,wt=16): 7264 (x * K(y,z)) / x != u | K(y,T(z,x)) = u. [para(7106(a,1),262(a,1,1)),flip(b)]. given #6593 (H,wt=16): 7318 K(T(x,y),z) * y != y * u | K(x,z) = u. [para(7147(a,2),19(a,1))]. given #6594 (H,wt=16): 7343 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(6999(a,1),7191(a,1,1,2)),flip(a)]. given #6595 (H,wt=14): 7604 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(199,a,7191,a(flip),b,7343,a)]. given #6596 (H,wt=16): 7374 T(K(x,y \ z),y) != u | K(x,z / y) = u. [para(107(a,1),7108(a,1,1,2))]. given #6597 (H,wt=16): 7378 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(7140(a,1),7108(a,1))]. given #6598 (H,wt=16): 7380 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(6069(a,2),7132(a,1))]. given #6599 (H,wt=16): 7381 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(6084(a,2),7132(a,1))]. given #6600 (H,wt=16): 7383 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7176(a,2),7132(a,1))]. given #6601 (H,wt=16): 7384 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(6098(a,2),7135(a,1))]. given #6602 (H,wt=16): 7386 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(7069(a,2),7152(a,1))]. given #6603 (H,wt=16): 7388 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(107(a,1),7168(a,1,2,1))]. given #6604 (H,wt=16): 7389 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7182(a,2),7168(a,1))]. given #6605 (H,wt=14): 7614 K(x \ (x * y),z) != u | K(y,z) = u. [para(7179(a,1),7389(a,1))]. given #6606 (H,wt=14): 7615 K((x / y) \ x,z) != u | K(y,z) = u. [para(16(a,1),7614(a,1,1,2))]. given #6607 (H,wt=14): 7616 K((x \ y) \ y,y) != z | K(x,y) = z. [para(6470(a,1),7615(a,1))]. given #6608 (H,wt=16): 7393 K(x,(y \ z) \ z) != u | T(K(x,y),z) = u. [para(7071(a,2),7247(a,1))]. given #6609 (H,wt=16): 7394 K(x,T(y,z)) != u | T(K(x,y),z * y) = u. [para(7085(a,1),7247(a,1))]. given #6610 (H,wt=16): 7395 K(x,T(y,x \ z)) != u | T(K(x,y),z) = u. [para(7326(a,2),7247(a,1))]. given #6611 (H,wt=16): 7396 K(x,T(y,z)) != u | T(K(x,y),x * z) = u. [para(7356(a,1),7247(a,1))]. given #6612 (H,wt=16): 7406 K(x,y \ T(y * z,x)) != u | K(x,z) = u. [para(5430(a,2),7319(a,1,2))]. given #6613 (H,wt=16): 7410 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1222(a,1),7353(a,1,1))]. given #6614 (H,wt=16): 7418 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(107(a,1),7377(a,1,2))]. given #6615 (H,wt=16): 7419 K(T(x,y),z / y) != u | K(x,y \ z) = u. [para(170(a,1),7377(a,1,2))]. given #6616 (H,wt=16): 7421 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(185(a,1),7382(a,1,1))]. given #6617 (H,wt=16): 7422 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4685(a,1),7382(a,1,1))]. given #6618 (H,wt=16): 7425 K(x,y / (y / z)) != u | K(x,T(z,y)) = u. [para(7171(a,2),7382(a,1))]. given #6619 (H,wt=16): 7426 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(7183(a,2),7382(a,1))]. given #6620 (H,wt=16): 7429 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(5323(a,2),7411(a,1))]. given #6621 (H,wt=16): 7476 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7472(a,1),4620(a,2,1,1))]. given #6622 (H,wt=12): 7622 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(199,a,4620,a,b,7476,a)]. given #6623 (H,wt=16): 7482 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(199,a,4059,a(flip),b,7036,a)]. given #6624 (H,wt=16): 7491 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(234(a,1),7091(a,1,1,1)),flip(a)]. given #6625 (H,wt=16): 7531 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(199,a,6994,a,b,7526,a),flip(a)]. given #6626 (H,wt=16): 7535 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7534(a,2),7132(a,1))]. given #6627 (H,wt=16): 7544 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(7358(a,2),4655(a,1))]. given #6628 (H,wt=16): 7596 T(x,T(y \ z,y)) != u | T(x,z / y) = u. [para(107(a,1),7595(a,1,2,1))]. given #6629 (H,wt=16): 7597 T(x,T(y,z)) != u | T(x,(z * y) / z) = u. [para(149(a,1),7595(a,1,2,1))]. given #6630 (H,wt=16): 7599 T(x \ 1,T(y,x)) != z | T(x \ 1,y) = z. [para(6893(a,1),7595(a,1))]. given #6631 (H,wt=16): 7600 T(K(x,y),T(z,y)) != u | T(K(x,y),z) = u. [para(6894(a,1),7595(a,1))]. given #6632 (H,wt=16): 7601 K(x,T(y,z)) != u | K(x,z / (z / y)) = u. [para(63(a,1),7233(a,1,2,1))]. given #6633 (H,wt=16): 7603 T(K(x,y),y * z) != u | K(x,T(y,z)) = u. [para(7084(a,1),7235(a,1))]. given #6634 (H,wt=16): 7611 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(7189(a,2),7386(a,1))]. given #6635 (H,wt=16): 7617 K(T(x,x \ y),z) != u | T(K(x,z),y) = u. [para(7141(a,2),7395(a,1))]. given #6636 (H,wt=16): 7624 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(7168,a,7531,a)]. given #6637 (H,wt=16): 7625 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7531(a,1),7370(a,1))]. given #6638 (H,wt=16): 7627 T(K(x,y),x * z) != u | K(x,T(y,z)) = u. [para(7533(a,1),7535(a,1))]. given #6639 (H,wt=16): 7631 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(6104(a,2),7603(a,1))]. given #6640 (H,wt=16): 7633 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7084(a,2),7627(a,1))]. given #6641 (H,wt=17): 6905 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(6874(a,2),6820(a,1,2))]. given #6642 (H,wt=17): 6932 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(6928(a,1),6878(a,1,1)),flip(a)]. given #6643 (H,wt=17): 6957 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(13(a,1),6954(a,1,2,2,2))]. given #6644 (H,wt=17): 6960 T(T(x,y / z),K(z,z \ y)) = T(x,z \ y). [hyper(339,a,6899,a),flip(a)]. given #6645 (H,wt=17): 6976 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(6968(a,1),5939(a,1,1))]. given #6646 (H,wt=17): 7005 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(6993(a,1),5409(a,1,2)),flip(a)]. given #6647 (H,wt=17): 7024 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7010(a,1),5405(a,1,2)),flip(a)]. given #6648 (H,wt=17): 7032 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(107(a,1),6983(a,1,3)),flip(a)]. given #6649 (H,wt=17): 7033 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(170(a,1),6983(a,1,3))]. given #6650 (H,wt=17): 7055 T(x,R(y,z,x)) != u * w | u \ T(x,y) = w. [para(7029(a,2),4656(a,1))]. given #6651 (H,wt=17): 7067 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(7048(a,1),105(a,1,2))]. given #6652 (H,wt=17): 7077 T(x / y,T(y,y * z)) = T(y \ x,K(y,z)). [hyper(199,a,6881,a(flip),b,7046,a)]. given #6653 (H,wt=17): 7087 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(6947(a,1),7071(a,1,2)),flip(a)]. given #6654 (H,wt=17): 7126 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(42(a,2),7097(a,1,2))]. given #6655 (H,wt=17): 7153 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7134(a,1),5074(a,1,1))]. given #6656 (H,wt=17): 7158 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7134(a,1),6281(a,1,1,2))]. given #6657 (H,wt=17): 7178 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),7141(a,1,1))]. given #6658 (H,wt=17): 7203 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(40(a,2),7143(a,1,1))]. given #6659 (H,wt=17): 7204 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),7143(a,1,2))]. given #6660 (H,wt=17): 7205 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(42(a,2),7143(a,1,1))]. given #6661 (H,wt=17): 7206 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),7143(a,1,2))]. given #6662 (H,wt=17): 7208 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(1138(a,1),7143(a,1,1))]. given #6663 (H,wt=17): 7213 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(7143(a,1),5093(a,1,1)),flip(a)]. given #6664 (H,wt=17): 7226 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(68,a,7167,a(flip),b,2801,a)]. given #6665 (H,wt=17): 7232 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(199,a,6893,a(flip),b,7078,a(flip))]. given #6666 (H,wt=17): 7252 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,5642,a(flip),b,7105,a)]. given #6667 (H,wt=17): 7258 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7084(a,2),7105(a,1,2,2))]. given #6668 (H,wt=17): 7261 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,5642,a,b,7106,a)]. given #6669 (H,wt=17): 7267 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6085(a,1),7106(a,1,1))]. given #6670 (H,wt=15): 7658 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(199,a,6218,a(flip),b,7267,a)]. given #6671 (H,wt=15): 7660 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7084(a,2),7658(a,1,1))]. given #6672 (H,wt=17): 7298 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(7046(a,1),7127(a,1,2))]. given #6673 (H,wt=17): 7305 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [hyper(199,a,6099,a(flip),b,7140,a(flip)),flip(a)]. given #6674 (H,wt=17): 7308 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6267(a,1),7142(a,1,1)),flip(a)]. given #6675 (H,wt=17): 7310 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7144(a,1),4660(a,2,1)),flip(a)]. given #6676 (H,wt=17): 7311 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7144(a,1),7272(a,1,1,2))]. given #6677 (H,wt=17): 7322 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(38(a,1),7169(a,1,2))]. given #6678 (H,wt=17): 7323 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(117(a,1),7169(a,1,2)),flip(a)]. given #6679 (H,wt=17): 7329 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7179(a,1),4660(a,2,1)),flip(a)]. given #6680 (H,wt=17): 7337 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(1164(a,1),7182(a,1,1))]. given #6681 (H,wt=17): 7341 T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). [para(7188(a,1),4652(a,2,2)),flip(a)]. given #6682 (H,wt=17): 7360 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(7327(a,1),105(a,1,2))]. given #6683 (H,wt=17): 7363 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(199,a,7009,a(flip),b,7356,a(flip))]. given #6684 (H,wt=17): 7364 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(107(a,1),7356(a,1,2)),flip(a)]. given #6685 (H,wt=17): 7390 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(7186(a,1),7168(a,1))]. given #6686 (H,wt=17): 7392 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(199,a,6286,a(flip),b,7391,a(flip)),flip(a)]. given #6687 (H,wt=15): 7674 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4652(a,2),7392(a,1,1))]. given #6688 (H,wt=15): 7675 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(7674(a,2),63(a,1,1))]. given #6689 (H,wt=15): 7676 (x \ K(x,y)) \ y = (x \ 1) \ T(y,x). [para(7675(a,1),6541(a,1,1))]. given #6690 (H,wt=17): 7442 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(199,a,6347,a,b,6997,a(flip)),flip(a)]. given #6691 (H,wt=15): 7679 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(5451,a,7442,a),flip(a)]. given #6692 (H,wt=15): 7680 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(199,a,7443,a(flip),b,7679,a(flip))]. given #6693 (H,wt=17): 7485 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7038(a,1),105(a,1,2)),flip(a)]. given #6694 (H,wt=17): 7486 T(x,y) \ (x * L(y,z,y)) = L(T(y,x),z,y). [hyper(68,a,7040,a(flip),b,3943,a)]. given #6695 (H,wt=15): 7682 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [hyper(5100,a,7486,a)]. given #6696 (H,wt=15): 7683 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3100,a,7682,a)]. given #6697 (H,wt=17): 7489 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7047(a,1),105(a,1,2)),flip(a)]. given #6698 (H,wt=17): 7505 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4632(a,1),7219(a,1,1)),flip(a)]. given #6699 (H,wt=17): 7507 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6132(a,1),7237(a,1,2)),flip(a)]. given #6700 (H,wt=17): 7513 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5240(a,1),7255(a,1,1)),flip(a)]. given #6701 (H,wt=15): 7689 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(17,a,7105,a,b,7513,a),flip(a)]. given #6702 (H,wt=15): 7690 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(63(a,1),7689(a,2,2,2))]. given #6703 (H,wt=17): 7520 K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). [para(4961(a,1),7283(a,1,2,1))]. given #6704 (H,wt=17): 7532 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(199,a,7009,a(flip),b,7526,a(flip))]. given #6705 (H,wt=17): 7537 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(32(a,2),7304(a,1,1,1)),flip(a)]. given #6706 (H,wt=17): 7538 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [hyper(199,a,5442,a,b,7321,a)]. given #6707 (H,wt=17): 7546 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(107(a,1),7543(a,1,2)),flip(a)]. given #6708 (H,wt=17): 7548 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6138(a,1),7543(a,1,2))]. given #6709 (H,wt=16): 7693 T(x * y,T(y,x)) != z | T(x * y,y) = z. [para(7548(a,1),6886(a,1))]. given #6710 (H,wt=17): 7550 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(5936(a,1),7401(a,1,1,2)),flip(a)]. given #6711 (H,wt=17): 7553 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(7210(a,1),7401(a,1,1,2))]. given #6712 (H,wt=17): 7557 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(199,a,5701,a,b,7435,a(flip)),flip(a)]. given #6713 (H,wt=17): 7562 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(68,a,7446,a(flip),b,4950,a)]. given #6714 (H,wt=17): 7563 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(4628(a,2),7449(a,1,1))]. given #6715 (H,wt=17): 7579 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5313(a,1),7552(a,1,1,2)),flip(a)]. given #6716 (H,wt=17): 7582 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(7556(a,1),4652(a,2,2))]. given #6717 (H,wt=15): 7701 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(199,a,4652,a,b,7582,a)]. given #6718 (H,wt=15): 7703 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(13(a,1),7701(a,1,2,2,1))]. given #6719 (H,wt=17): 7639 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(199,a,2972,a(flip),b,7024,a)]. given #6720 (H,wt=17): 7643 x * T(x \ y,K(x,z)) = T(y,K(x,x * z)). [para(7077(a,1),6175(a,1,2))]. given #6721 (H,wt=17): 7644 K(x,T(T(y / z,y),u)) = K(x,T(z \ y,u)). [para(38(a,1),7087(a,1,2))]. given #6722 (H,wt=17): 7648 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2963(a,1),7178(a,2,2))]. given #6723 (H,wt=17): 7654 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(4624(a,1),7208(a,1,2,2))]. given #6724 (H,wt=17): 7655 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(7503(a,1),7213(a,1,1))]. given #6725 (H,wt=17): 7659 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(4747(a,1),7658(a,1,1))]. given #6726 (H,wt=17): 7665 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(199,a,7128,a(flip),b,7322,a(flip))]. given #6727 (H,wt=15): 7710 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(199,a,7169,a(flip),b,7665,a)]. given #6728 (H,wt=17): 7668 T(x,y) * K(x,K(y,z)) = x * T(K(x,y),z). [hyper(199,a,7296,a(flip),b,7341,a)]. given #6729 (H,wt=15): 7711 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(4905,a,7668,a)]. given #6730 (H,wt=10): 7714 K(x,K(y,R(x,z,u))) = 1. [hyper(67,a,3125,a(flip),b,7711,a),flip(a)]. given #6731 (H,wt=10): 7720 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7714,a)]. given #6732 (H,wt=11): 7715 K(x,K(y,z)) = K(z,K(y,x)). [hyper(17,a,5287,a,b,7711,a)]. given #6733 (H,wt=11): 7716 K(x,K(y,z)) = K(z,K(x,y)). [hyper(17,a,4685,a(flip),b,7711,a)]. given #6734 (H,wt=11): 7717 K(K(x,y),z) = K(x,K(y,z)). [hyper(17,a,4652,a(flip),b,7711,a),flip(a)]. given #6735 (H,wt=11): 7722 K(K(x,y),z) = K(y,K(x,z)). [hyper(4862,a,7715,a)]. given #6736 (H,wt=11): 7732 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5289,a,7716,a)]. given #6737 (H,wt=11): 7733 K(K(x,y),z) = K(y,K(z,x)). [hyper(4862,a,7716,a)]. given #6738 (H,wt=13): 7725 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7715(a,1),4652(a,2,2)),flip(a)]. given #6739 (H,wt=13): 7727 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7715(a,1),5272(a,1,1))]. given #6740 (H,wt=13): 7728 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7715(a,1),5273(a,1,2))]. given #6741 (H,wt=13): 7737 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7716(a,1),5272(a,1,1))]. given #6742 (H,wt=13): 7738 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7716(a,1),5273(a,1,2))]. given #6743 (H,wt=14): 7721 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7720(a,1),38(a,1,1)),flip(a)]. given #6744 (H,wt=14): 7729 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7715(a,1),5289(a,1))]. given #6745 (H,wt=14): 7730 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(7715(a,1),5292(a,1))]. given #6746 (H,wt=14): 7739 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7716(a,1),5289(a,1))]. given #6747 (H,wt=14): 7740 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7716(a,2),5289(a,1))]. given #6748 (H,wt=14): 7761 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(7722(a,2),5289(a,1))]. given #6749 (H,wt=14): 7766 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7732(a,1),5289(a,1))]. given #6750 (H,wt=14): 7776 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(7733(a,2),7729(a,1))]. given #6751 (H,wt=15): 7712 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [hyper(4839,a,7711,a)]. given #6752 (H,wt=15): 7713 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(199,a,7084,a,b,7711,a)]. given #6753 (H,wt=12): 7780 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(67,a,7186,a(flip),b,7713,a),flip(a)]. given #6754 (H,wt=15): 7724 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7715(a,1),4619(a,2,1)),flip(a)]. given #6755 (H,wt=15): 7731 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(7715(a,1),7093(a,1,1))]. given #6756 (H,wt=15): 7734 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(199,a,7118,a,b,7716,a),flip(a)]. given #6757 (H,wt=15): 7735 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7716(a,1),4685(a,2,2)),flip(a)]. given #6758 (H,wt=15): 7741 K(x,K(y,z)) * K(x,z) = T(K(x,z),y). [para(7716(a,1),5288(a,1,1))]. given #6759 (H,wt=15): 7749 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7141(a,1),7716(a,1,2))]. given #6760 (H,wt=15): 7750 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7716(a,1),7094(a,1,2))]. given #6761 (H,wt=15): 7753 K(x,K(y,z)) / z = 1 / T(z,K(x,y)). [hyper(69,a,7717,a(flip),b,4597,a(flip))]. given #6762 (H,wt=15): 7758 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(6807(a,1),7717(a,1,1)),flip(a)]. given #6763 (H,wt=15): 7765 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5255(a,2),7732(a,1,2))]. given #6764 (H,wt=15): 7769 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(6819(a,1),7732(a,1,2)),flip(a)]. given #6765 (H,wt=15): 7771 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7725(a,1),7572(a,1,2,2))]. given #6766 (H,wt=15): 7774 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7728(a,1),7404(a,1,2,2))]. given #6767 (H,wt=15): 7779 K(x,y) * K(x,T(y,z)) = K(x,K(y,z)). [hyper(5045,a,7713,a)]. given #6768 (H,wt=15): 7785 K(x,T(y,z)) * K(x,y) = K(x,K(y,z)). [hyper(6250,a,7731,a)]. given #6769 (H,wt=15): 7787 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(1916,a,7734,a)]. given #6770 (H,wt=15): 7793 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(199,a,7717,a(flip),b,7758,a)]. given #6771 (H,wt=14): 7799 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(7793(a,1),5973(a,1,3))]. given #6772 (H,wt=15): 7794 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(199,a,7732,a,b,7769,a)]. given #6773 (H,wt=15): 7795 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(7247,a,7771,a)]. given #6774 (H,wt=15): 7796 K(x,T(y,z)) * K(x,y) = K(x,K(z,y)). [hyper(199,a,5286,a,b,7785,a)]. given #6775 (H,wt=15): 7798 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(4738(a,1),7793(a,1,1,1))]. given #6776 (H,wt=15): 7802 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(7317(a,1),7794(a,1,2,2)),flip(a)]. given #6777 (H,wt=16): 7726 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(7715(a,1),4655(a,1,2))]. given #6778 (H,wt=16): 7743 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7716(a,1),5290(a,1,2))]. given #6779 (H,wt=16): 7763 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7732(a,1),4661(a,1,1))]. given #6780 (H,wt=16): 7770 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7469(a,1),7732(a,1,2)),flip(a)]. given #6781 (H,wt=16): 7773 T(x,K(y,z)) != u * x | K(y,K(z,x)) = u. [para(7727(a,1),20(a,1))]. given #6782 (H,wt=17): 7671 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(199,a,5733,a(flip),b,7363,a)]. given #6783 (H,wt=17): 7672 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(199,a,6991,a(flip),b,7364,a)]. given #6784 (H,wt=17): 7678 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6471,a,7442,a)]. given #6785 (H,wt=17): 7687 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6415(a,1),7507(a,1,2))]. given #6786 (H,wt=17): 7692 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(63(a,1),7538(a,1,1,1)),flip(a)]. given #6787 (H,wt=17): 7707 T(x * y,K(x,x * z)) = x * T(y,K(x,z)). [para(13(a,1),7643(a,1,2,1)),flip(a)]. given #6788 (H,wt=13): 7806 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(17,a,6907,a(flip),b,7707,a(flip)),flip(a)]. given #6789 (H,wt=11): 7808 T(x,K(y,y * T(x,z))) = x. [hyper(199,a,3024,a(flip),b,7806,a)]. given #6790 (H,wt=13): 7807 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(199,a,5271,a,b,7806,a)]. given #6791 (H,wt=13): 7809 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(14(a,1),7806(a,1,2,2)),flip(a)]. given #6792 (H,wt=13): 7811 T(x,K(y,z * y)) = T(x,K(z,y)). [para(5255(a,2),7807(a,1,2))]. given #6793 (H,wt=15): 7813 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [hyper(199,a,4652,a(flip),b,7809,a)]. given #6794 (H,wt=13): 7815 K(x,K(y,y \ z)) = K(x,K(y,z)). [hyper(4708,a,7813,a)]. given #6795 (H,wt=13): 7817 K(x,K(y,y * z)) = K(x,K(y,z)). [para(13(a,1),7815(a,1,2,2)),flip(a)]. given #6796 (H,wt=13): 7818 K(x,K(y,z * y)) = K(x,K(y,z)). [para(4828(a,1),7815(a,1,2)),flip(a)]. given #6797 (H,wt=13): 7823 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(7740,a,7818,a)]. given #6798 (H,wt=13): 7824 K(x,K(y,z * y)) = K(y,K(x,z)). [hyper(199,a,7732,a,b,7818,a)]. given #6799 (H,wt=13): 7827 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(199,a,7715,a,b,7823,a)]. given #6800 (H,wt=15): 7814 T(T(x,y \ z),z / y) = T(x,K(y,z)). [hyper(199,a,6899,a,b,7809,a(flip)),flip(a)]. given #6801 (H,wt=15): 7819 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(4850(a,1),7815(a,1,2))]. given #6802 (H,wt=15): 7820 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(5750(a,1),7815(a,1,2))]. given #6803 (H,wt=15): 7822 T(x,K(y,x * z)) = K(y,K(x,z)) * x. [para(7817(a,1),7737(a,1,1)),flip(a)]. given #6804 (H,wt=13): 7831 T(x,K(y,x * z)) = T(x,K(y,z)). [hyper(199,a,7737,a(flip),b,7822,a)]. given #6805 (H,wt=13): 7832 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(199,a,5271,a,b,7831,a)]. given #6806 (H,wt=13): 7833 T(x,K(y,x \ z)) = T(x,K(y,z)). [para(14(a,1),7831(a,1,2,2)),flip(a)]. given #6807 (H,wt=15): 7828 T(T(x,K(y,z)),z / y) = T(x,y \ z). [para(7814(a,1),47(a,1,1))]. given #6808 (H,wt=15): 7830 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(5289,a,7820,a),flip(a)]. given #6809 (H,wt=13): 7838 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(199,a,7815,a(flip),b,7830,a)]. given #6810 (H,wt=13): 7839 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(199,a,7716,a(flip),b,7838,a)]. given #6811 (H,wt=13): 7840 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(60(a,1),7838(a,1,2,1)),flip(a)]. given #6812 (H,wt=13): 7841 K(x,K(y,z \ y)) = K(x,K(z,y)). [para(4989(a,1),7838(a,1,2))]. given #6813 (H,wt=13): 7842 K(x,K(x / y,z)) = K(x,K(z,y)). [hyper(7740,a,7839,a)]. given #6814 (H,wt=13): 7843 K(x,K(y \ z,z)) = K(z,K(x,y)). [para(4991(a,1),7839(a,1,2))]. given #6815 (H,wt=13): 7844 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(199,a,7819,a,b,7841,a(flip)),flip(a)]. given #6816 (H,wt=13): 7845 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(199,a,5286,a,b,7842,a)]. given #6817 (H,wt=13): 7848 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(7729,a,7844,a)]. given #6818 (H,wt=13): 7849 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(5289,a,7844,a)]. given #6819 (H,wt=13): 7850 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(199,a,7732,a,b,7844,a)]. given #6820 (H,wt=13): 7851 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(199,a,5286,a,b,7844,a)]. given #6821 (H,wt=13): 7852 K(x,K(y,1 / z)) = K(x,K(z,y)). [para(3385(a,2),7844(a,1,2))]. given #6822 (H,wt=13): 7855 K(x / y,K(x,z)) = K(x,K(y,z)). [hyper(7739,a,7845,a)]. given #6823 (H,wt=13): 7856 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(3109,a,7848,a),flip(a)]. given #6824 (H,wt=13): 7857 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(199,a,7732,a,b,7848,a)]. given #6825 (H,wt=13): 7858 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(199,a,5286,a,b,7848,a)]. given #6826 (H,wt=13): 7859 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(199,a,7716,a(flip),b,7849,a)]. given #6827 (H,wt=13): 7862 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(63(a,1),7850(a,1,2,2)),flip(a)]. given #6828 (H,wt=13): 7863 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(63(a,1),7851(a,1,2,2)),flip(a)]. given #6829 (H,wt=15): 7836 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(5276(a,1),7828(a,1,1)),flip(a)]. given #6830 (H,wt=15): 7854 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6005(a,1),7844(a,1,2)),flip(a)]. given #6831 (H,wt=15): 7864 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(7851(a,1),4652(a,2,2))]. given #6832 (H,wt=13): 7879 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(199,a,4652,a,b,7864,a)]. given #6833 (H,wt=13): 7880 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(199,a,5273,a(flip),b,7864,a)]. given #6834 (H,wt=13): 7881 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(5284,a,7879,a)]. given #6835 (H,wt=13): 7886 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(5284,a,7880,a)]. given #6836 (H,wt=15): 7865 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5235(a,1),7851(a,1,2))]. given #6837 (H,wt=15): 7871 T(1 / x,K(y,z)) = K(y,K(z,x)) / x. [hyper(69,a,7858,a(flip),b,4874,a),flip(a)]. given #6838 (H,wt=15): 7883 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6032(a,1),7879(a,1,2))]. given #6839 (H,wt=13): 7890 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(199,a,7809,a(flip),b,7883,a)]. given #6840 (H,wt=13): 7892 T(x,K(y,y / z)) = T(x,K(z,y)). [para(63(a,1),7890(a,1,2,1)),flip(a)]. given #6841 (H,wt=15): 7889 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(199,a,7753,a(flip),b,7871,a),flip(a)]. given #6842 (H,wt=16): 7816 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7813(a,2),4655(a,1))]. given #6843 (H,wt=16): 7826 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7818(a,2),5289(a,1))]. given #6844 (H,wt=13): 7896 K(x,K(y,x * z)) = K(y,K(z,x)). [hyper(7826,a,7765,a),flip(a)]. given #6845 (H,wt=13): 7897 K(x,K(y,x * z)) = K(x,K(z,y)). [hyper(199,a,7715,a,b,7896,a)]. given #6846 (H,wt=13): 7898 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(5289,a,7897,a)]. given #6847 (H,wt=13): 7899 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(199,a,7732,a,b,7898,a)]. given #6848 (H,wt=13): 7900 K(x \ y,K(x,z)) = K(x,K(y,z)). [para(14(a,1),7899(a,1,2,1)),flip(a)]. given #6849 (H,wt=16): 7846 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(7842(a,2),5289(a,1))]. given #6850 (H,wt=16): 7847 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(7843(a,2),7766(a,1))]. given #6851 (H,wt=16): 7853 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7844(a,2),5289(a,1))]. given #6852 (H,wt=16): 7868 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(7852(a,2),5289(a,1))]. given #6853 (H,wt=16): 7869 K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. [para(7855(a,1),7739(a,1))]. given #6854 (H,wt=16): 7874 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7862(a,2),5289(a,1))]. given #6855 (H,wt=16): 7875 K(x,K(y,1 / z)) != u | K(x,K(z,y)) = u. [para(7863(a,2),5289(a,1))]. given #6856 (H,wt=16): 7887 T(x,K(y \ 1,z)) != u | T(x,K(y,z)) = u. [para(7881(a,2),5284(a,1))]. given #6857 (H,wt=16): 7888 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(7886(a,2),5284(a,1))]. given #6858 (H,wt=16): 7894 T(x,K(y,z)) != u | T(x,K(y,y * z)) = u. [para(13(a,1),7816(a,1,2,2))]. given #6859 (H,wt=16): 7895 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(4830(a,2),7816(a,1,2))]. given #6860 (H,wt=17): 7723 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(7715(a,1),85(a,1,2))]. given #6861 (H,wt=17): 7760 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7722(a,1),4622(a,1,1))]. given #6862 (H,wt=17): 7764 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(7732(a,1),4626(a,1,2,1))]. given #6863 (H,wt=17): 7791 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7523(a,1),7749(a,2,2))]. given #6864 (H,wt=17): 7800 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6583,a,7799,a)]. given #6865 (H,wt=15): 7908 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(6198,a,7800,a)]. given #6866 (H,wt=17): 7805 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(199,a,5492,a(flip),b,7678,a(flip))]. given #6867 (H,wt=17): 7810 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(35,a,7808,a)]. given #6868 (H,wt=17): 7812 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7807(a,1),6878(a,1,1))]. given #6869 (H,wt=17): 7834 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(7832(a,1),38(a,1,1)),flip(a)]. given #6870 (H,wt=15): 7911 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(199,a,6879,a(flip),b,7834,a)]. given #6871 (H,wt=17): 7835 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(7832(a,1),6878(a,1,1))]. given #6872 (H,wt=17): 7866 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(7851(a,1),7711(a,1,2))]. given #6873 (H,wt=13): 7914 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(199,a,7713,a(flip),b,7866,a(flip))]. given #6874 (H,wt=13): 7915 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(7132,a,7914,a)]. given #6875 (H,wt=13): 7918 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(199,a,7528,a(flip),b,7915,a(flip)),flip(a)]. given #6876 (H,wt=13): 7919 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(63(a,1),7915(a,1,2,2)),flip(a)]. given #6877 (H,wt=15): 7916 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [para(7914(a,1),7115(a,1,2)),flip(a)]. given #6878 (H,wt=15): 7920 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(13(a,1),7918(a,1,2,2))]. given #6879 (H,wt=16): 7917 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(7914(a,2),7247(a,1))]. given #6880 (H,wt=16): 7922 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(7916(a,2),4655(a,1))]. given #6881 (H,wt=17): 7867 K(x,K(y,z)) * K(x,y) = K(x,T(y,z \ 1)). [para(7851(a,1),7731(a,1,1))]. given #6882 (H,wt=17): 7901 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(199,a,7749,a(flip),b,7900,a(flip)),flip(a)]. given #6883 (H,wt=17): 7905 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6228(a,2),7760(a,1,2))]. given #6884 (H,wt=17): 7906 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7731(a,1),7764(a,1,2)),flip(a)]. given #6885 (H,wt=17): 7913 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(4066,a,7835,a)]. given #6886 (H,wt=17): 7921 K(x,T(y,z)) * (z \ x) = (z \ x) * K(x,y). [para(7918(a,1),7106(a,1,1))]. given #6887 (H,wt=18): 6814 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(6807(a,1),5974(a,1,1))]. given #6888 (H,wt=16): 7928 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(199,a,6381,a(flip),b,6814,a(flip)),flip(a)]. given #6889 (H,wt=12): 7929 K(L(x,K(y,z),u),y) = K(x,y). [hyper(199,a,6807,a(flip),b,7928,a)]. given #6890 (H,wt=18): 6855 T(x,(x \ y) * z) != u | T(x,(y / x) * z) = u. [para(4972(a,1),6834(a,1,2))]. given #6891 (H,wt=18): 6860 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(5126(a,1),6848(a,1,2))]. given #6892 (H,wt=18): 6871 T(x,(y / x) \ z) != u | T(x,(x \ y) \ z) = u. [para(170(a,1),6854(a,1,2,1))]. given #6893 (H,wt=18): 6895 T(x / y,T(y,z)) != u | T(y \ x,K(y,z)) = u. [para(6879(a,1),501(a,1))]. given #6894 (H,wt=18): 6915 T(x * y,K(x,z)) != x * u | T(y,K(x,z)) = u. [para(6907(a,2),19(a,1))]. given #6895 (H,wt=18): 6949 (T(x,y) \ z) \ z != u | T((x \ z) \ z,y) = u. [para(6942(a,1),253(a,1,1)),flip(b)]. given #6896 (H,wt=18): 6996 K(x,(x \ y) \ z) != u | K(x,y \ (x * z)) = u. [para(6973(a,1),6475(a,1))]. given #6897 (H,wt=18): 7006 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6993(a,1),6381(a,1,1)),flip(a)]. given #6898 (H,wt=16): 7934 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(199,a,6381,a(flip),b,7006,a)]. given #6899 (H,wt=18): 7076 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(7045(a,1),5054(a,1))]. given #6900 (H,wt=18): 7154 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7134(a,1),5046(a,1,1))]. given #6901 (H,wt=18): 7159 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7134(a,1),6250(a,1,2))]. given #6902 (H,wt=18): 7160 x * K(y,T(z,u)) != w | x * K(T(y,u),z) = w. [para(7134(a,1),6305(a,1,2))]. given #6903 (H,wt=18): 7195 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7141(a,1),5289(a,1,2))]. given #6904 (H,wt=18): 7198 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7141(a,1),6246(a,1,2))]. given #6905 (H,wt=18): 7225 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(199,a,5157,a,b,7167,a(flip)),flip(a)]. given #6906 (H,wt=18): 7294 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7272(a,1),3849(a,1,1))]. given #6907 (H,wt=16): 7940 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(199,a,5835,a(flip),b,7294,a(flip)),flip(a)]. given #6908 (H,wt=12): 7941 K(R(x,K(y,z),u),z) = K(x,z). [hyper(199,a,7272,a(flip),b,7940,a)]. given #6909 (H,wt=18): 7295 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7280(a,1),5721(a,1,1))]. given #6910 (H,wt=16): 7944 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(199,a,5727,a(flip),b,7295,a(flip)),flip(a)]. given #6911 (H,wt=12): 7945 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(199,a,7280,a(flip),b,7944,a)]. given #6912 (H,wt=18): 7348 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6369(a,1),7234(a,1))]. given #6913 (H,wt=18): 7371 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6396(a,1),7367(a,1))]. given #6914 (H,wt=18): 7373 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(1152(a,2),7075(a,1))]. given #6915 (H,wt=18): 7375 T(K(x,T(y,z)),u) != w | K(x,T(T(y,u),z)) = w. [para(110(a,1),7108(a,1,1,2))]. given #6916 (H,wt=18): 7376 K(T(x,y) \ 1,T(z,y)) != u | K(x \ 1,z) = u. [para(5417(a,2),7108(a,1))]. given #6917 (H,wt=18): 7379 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(5389(a,2),7132(a,1))]. given #6918 (H,wt=18): 7398 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(5943(a,1),7271(a,1,2))]. given #6919 (H,wt=18): 7400 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6368(a,1),7397(a,1))]. given #6920 (H,wt=18): 7407 K(x,y / (z / x)) != u | K(x,y / (x \ z)) = u. [para(5970(a,1),7319(a,1,2))]. given #6921 (H,wt=18): 7413 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(38(a,1),7377(a,1,2))]. given #6922 (H,wt=18): 7428 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(401(a,1),7405(a,1,2))]. given #6923 (H,wt=18): 7474 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),7471(a,1,2))]. given #6924 (H,wt=18): 7495 K(x \ y,T(z,y \ x)) != u | K(x \ y,z) = u. [para(7128(a,1),7168(a,1))]. given #6925 (H,wt=18): 7514 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7259(a,1),262(a,1,1)),flip(b)]. given #6926 (H,wt=18): 7530 x * T(K(x,y),z) != u | T(x,T(y,z / x)) = u. [para(7524(a,1),4655(a,1,2))]. given #6927 (H,wt=13): 7954 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(7530,a,7115,a)]. given #6928 (H,wt=15): 7955 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [hyper(199,a,7543,a,b,7954,a)]. given #6929 (H,wt=15): 7956 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(60(a,1),7954(a,1,2,2)),flip(a)]. given #6930 (H,wt=16): 7957 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(7955(a,2),7544(a,1))]. given #6931 (H,wt=17): 7958 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(7956(a,1),7127(a,1,2))]. given #6932 (H,wt=18): 7558 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(28(a,2),7435(a,1,2)),flip(a)]. given #6933 (H,wt=18): 7559 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(94(a,2),7435(a,1,2))]. given #6934 (H,wt=18): 7576 K(x / y,x \ z) != u | K(y \ x,z / x) = u. [para(7508(a,1),4862(a,1))]. given #6935 (H,wt=18): 7591 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(5586(a,1),7590(a,1,2,1))]. given #6936 (H,wt=18): 7593 T(x,K(y,x \ z)) != u | T(x,K(y,z / x)) = u. [para(107(a,1),7114(a,1,2,2))]. given #6937 (H,wt=13): 7962 T(x,K(y,z / x)) = T(x,K(y,z)). [hyper(7593,a,7833,a)]. given #6938 (H,wt=13): 7963 T(x,K(y,z * x)) = T(x,K(y,z)). [para(15(a,1),7962(a,1,2,2)),flip(a)]. given #6939 (H,wt=13): 7964 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(199,a,5271,a,b,7963,a)]. given #6940 (H,wt=13): 7965 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(5284,a,7964,a)]. given #6941 (H,wt=18): 7618 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),7410(a,1,1,2))]. given #6942 (H,wt=15): 7966 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(7618,a,7443,a)]. given #6943 (H,wt=15): 7969 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(199,a,7000,a(flip),b,7966,a(flip))]. given #6944 (H,wt=18): 7653 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7205(a,1),6846(a,1,1,1))]. given #6945 (H,wt=18): 7702 T(x,y \ ((x \ z) * x)) != u | T(x,y \ z) = u. [para(7582(a,2),4655(a,1))]. given #6946 (H,wt=18): 7719 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7711(a,2),7132(a,1))]. given #6947 (H,wt=18): 7736 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7716(a,2),4797(a,1,2))]. given #6948 (H,wt=18): 7754 K(x,K(y,z)) * K(x,y) != u | T(K(x,y),z) = u. [para(7717(a,1),4661(a,1,1))]. given #6949 (H,wt=18): 7755 K(x,K(y,z)) / z != u | 1 / T(z,K(x,y)) = u. [para(7717(a,1),4773(a,1,1))]. given #6950 (H,wt=18): 7775 K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. [para(7141(a,1),7729(a,1,2))]. given #6951 (H,wt=18): 7778 K(x,K(y,z)) * K(x,y) != u | K(x,T(y,z)) = u. [para(7712(a,2),7132(a,1))]. given #6952 (H,wt=16): 7973 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7867(a,1),7778(a,1))]. given #6953 (H,wt=18): 7781 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7713(a,1),19(a,1))]. given #6954 (H,wt=18): 7782 K(x,y) * K(x,T(y,z)) != u | K(x,K(y,z)) = u. [para(7713(a,1),5042(a,1,2)),flip(b)]. given #6955 (H,wt=18): 7786 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7731(a,1),4839(a,1))]. given #6956 (H,wt=18): 7797 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(7787(a,1),6256(a,1,1)),flip(b)]. given #6957 (H,wt=18): 7829 T(T(x,K(y,z)),z / y) != u | T(x,y \ z) = u. [para(7814(a,1),338(a,1,1)),flip(b)]. given #6958 (H,wt=18): 7877 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(7854(a,1),5289(a,1))]. given #6959 (H,wt=18): 7885 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(7879(a,1),6897(a,1))]. given #6960 (H,wt=18): 7891 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(7883(a,1),5284(a,1))]. given #6961 (H,wt=13): 7976 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(7891,a,7833,a)]. given #6962 (H,wt=13): 7977 T(x,K(y,x / z)) = T(x,K(y,z)). [para(63(a,1),7976(a,1,2,2)),flip(a)]. given #6963 (H,wt=18): 7902 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5235(a,1),7853(a,1,2))]. given #6964 (H,wt=18): 7903 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5239(a,2),7853(a,1,2))]. given #6965 (H,wt=18): 7904 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(5242(a,2),7875(a,1,2))]. given #6966 (H,wt=18): 7932 K(x,y \ (x * z)) != u | K(x,(y / x) \ z) = u. [para(6971(a,1),6860(a,1))]. given #6967 (H,wt=18): 7933 K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. [para(6518(a,1),6996(a,1))]. given #6968 (H,wt=18): 7936 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5008(a,1),7154(a,1))]. given #6969 (H,wt=18): 7938 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(6228(a,1),7198(a,1))]. given #6970 (H,wt=18): 7943 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(46(a,1),7941(a,1,1))]. given #6971 (H,wt=18): 7947 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),7945(a,1,2))]. given #6972 (H,wt=18): 7948 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(6350(a,2),7348(a,1))]. given #6973 (H,wt=18): 7949 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(6352(a,2),7371(a,1))]. given #6974 (H,wt=18): 7951 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(751(a,2),7373(a,1))]. given #6975 (H,wt=18): 7952 K(x \ 1,T(y,z)) != u | K(T(x,z) \ 1,y) = u. [para(47(a,1),7376(a,1,1,1))]. given #6976 (H,wt=18): 7953 K(x,(y * x) / z) != u | K(x,y / (x \ z)) = u. [para(7026(a,2),7407(a,1))]. given #6977 (H,wt=18): 7967 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7441(a,2),7618(a,1))]. given #6978 (H,wt=18): 7968 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7443(a,1),7618(a,1))]. given #6979 (H,wt=18): 7970 T(x,y \ (z * x)) != u | T(x,y \ (x * z)) = u. [para(13(a,1),7702(a,1,2,2,1))]. given #6980 (H,wt=18): 7974 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4094(a,1),7973(a,1,2))]. given #6981 (H,wt=18): 7975 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(6132(a,1),7973(a,1,2))]. given #6982 (H,wt=18): 7979 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7133(a,1),7936(a,1,1))]. given #6983 (H,wt=18): 7980 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7133(a,1),7938(a,1,2))]. given #6984 (H,wt=18): 7982 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(7084(a,1),7952(a,1))]. given #6985 (H,wt=18): 7985 K(x,K(y,z)) != u | K(y,z) * K(z,T(y,x)) = u. [para(5344(a,1),7980(a,1))]. given #6986 (H,wt=19): 6827 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(6067(a,1),6810(a,1,1,2)),flip(a)]. given #6987 (H,wt=19): 6832 K(x,x \ ((y / x) \ z)) = K(x,x \ ((x \ y) \ z)). [para(5485(a,1),6821(a,1,2))]. given #6988 (H,wt=19): 6866 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(4961(a,1),6853(a,1,2))]. given #6989 (H,wt=19): 6868 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(4999(a,1),6863(a,1,2))]. given #6990 (H,wt=19): 6919 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(199,a,4883,a,b,6910,a(flip)),flip(a)]. given #6991 (H,wt=13): 7988 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(18,a,4660,a(flip),b,6919,a),flip(a)]. given #6992 (H,wt=16): 7990 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5573(a,1),7988(a,1,1,2))]. given #6993 (H,wt=19): 6925 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(6910(a,1),6321(a,1,1,2)),flip(a)]. given #6994 (H,wt=15): 7993 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(199,a,6272,a(flip),b,6925,a)]. given #6995 (H,wt=15): 7994 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(4738(a,1),7993(a,1,2,1,2))]. given #6996 (H,wt=15): 7997 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7105(a,1),7993(a,1,2,1))]. given #6997 (H,wt=13): 8002 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(199,a,6398,a(flip),b,7997,a(flip))]. given #6998 (H,wt=15): 7999 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7312(a,1),7993(a,1,2,1)),flip(a)]. given #6999 (H,wt=17): 8000 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(7994(a,1),4652(a,2,2))]. given #7000 (H,wt=15): 8005 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [hyper(199,a,4652,a,b,8000,a)]. given #7001 (H,wt=15): 8006 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [para(4738(a,1),8005(a,1,2,1,2))]. given #7002 (H,wt=15): 8007 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7146(a,1),8005(a,1,2,1))]. given #7003 (H,wt=15): 8008 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [para(7250(a,1),8005(a,1,2,1)),flip(a)]. given #7004 (H,wt=13): 8010 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(199,a,6138,a(flip),b,8008,a(flip))]. given #7005 (H,wt=19): 6943 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5321(a,1),6937(a,1,1,1))]. given #7006 (H,wt=19): 6956 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(6948(a,1),4481(a,1,2))]. given #7007 (H,wt=19): 6979 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(6972(a,1),431(a,1,1,1)),flip(a)]. given #7008 (H,wt=12): 8014 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(4498,a,6979,a)]. given #7009 (H,wt=12): 8015 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(199,a,6387,a(flip),b,8014,a(flip)),flip(a)]. given #7010 (H,wt=16): 8017 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(40(a,1),8015(a,1,2))]. given #7011 (H,wt=19): 6982 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(6972(a,1),5840(a,1,1,1)),flip(a)]. given #7012 (H,wt=19): 6988 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(6981(a,1),431(a,1,1,1)),flip(a)]. given #7013 (H,wt=12): 8018 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(4498,a,6988,a)]. given #7014 (H,wt=14): 8021 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(47(a,1),8018(a,1,3))]. given #7015 (H,wt=19): 6989 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(6981(a,1),5840(a,1,1,1)),flip(a)]. given #7016 (H,wt=19): 7021 x * K(R(x,y,x),z) != u * w | u \ T(x,z) = w. [para(7008(a,2),4656(a,1,2))]. given #7017 (H,wt=19): 7022 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7008(a,1),4999(a,1,1))]. given #7018 (H,wt=19): 7028 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7016(a,1),5308(a,1,1)),flip(a)]. given #7019 (H,wt=19): 7051 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(68,a,7018,a(flip),b,6554,a),flip(a)]. given #7020 (H,wt=19): 7061 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(658(a,1),7053(a,1,2))]. given #7021 (H,wt=19): 7062 T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). [para(662(a,1),7053(a,1,2))]. given #7022 (H,wt=17): 8025 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [hyper(7957,a,7062,a)]. given #7023 (H,wt=15): 8026 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(107(a,1),8025(a,1,2)),flip(a)]. given #7024 (H,wt=15): 8027 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(6871,a,8026,a)]. given #7025 (H,wt=15): 8028 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(199,a,7703,a(flip),b,8026,a)]. given #7026 (H,wt=15): 8030 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [hyper(199,a,7703,a(flip),b,8027,a)]. given #7027 (H,wt=15): 8031 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [hyper(199,a,7701,a(flip),b,8027,a)]. given #7028 (H,wt=15): 8035 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(13(a,1),8031(a,1,2,1)),flip(a)]. given #7029 (H,wt=17): 8032 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8027(a,2),7687(a,1,2))]. given #7030 (H,wt=17): 8034 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(199,a,7546,a,b,8030,a(flip)),flip(a)]. given #7031 (H,wt=17): 8036 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(32(a,2),8031(a,1,2,1))]. given #7032 (H,wt=15): 8038 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(6854,a,8036,a),flip(a)]. given #7033 (H,wt=18): 8039 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(94(a,2),8038(a,1,2))]. given #7034 (H,wt=19): 7109 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(7084(a,2),164(a,1,2,1))]. given #7035 (H,wt=19): 7110 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7084(a,2),191(a,1,1,1))]. given #7036 (H,wt=19): 7117 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7084(a,2),4899(a,2,2))]. given #7037 (H,wt=19): 7120 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7084(a,2),5291(a,2,1))]. given #7038 (H,wt=19): 7123 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6385(a,1),7084(a,2,1))]. given #7039 (H,wt=19): 7124 a(x,K(y,T(z,u)),u) = a(x,K(y,z),T(u,K(y,z))). [para(7084(a,2),6424(a,1,2))]. given #7040 (H,wt=19): 7157 (x / y) / K(y,T(z,x)) = T(x,y) / T(T(y,x),z). [para(7134(a,1),5940(a,1,2))]. given #7041 (H,wt=17): 8042 T(x,y) / T(T(y,x),z) = x / T(y,T(z,x)). [hyper(5971,a,7157,a),flip(a)]. given #7042 (H,wt=19): 7161 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7134(a,1),6294(a,1,2,2))]. given #7043 (H,wt=15): 8043 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(199,a,7251,a(flip),b,7161,a(flip))]. given #7044 (H,wt=15): 8044 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(47(a,1),8043(a,1,1,2,2))]. given #7045 (H,wt=19): 7231 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(337,a,7074,a),flip(a)]. given #7046 (H,wt=19): 7254 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),7105(a,1,2,2))]. given #7047 (H,wt=19): 7344 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(4697(a,1),7210(a,1,2,2)),flip(a)]. given #7048 (H,wt=19): 7357 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),7326(a,1,2))]. given #7049 (H,wt=19): 7365 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(6978(a,1),350(a,1,1)),flip(a)]. given #7050 (H,wt=19): 7387 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(199,a,6368,a(flip),b,7163,a(flip))]. given #7051 (H,wt=19): 7436 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(199,a,6323,a,b,6991,a(flip)),flip(a)]. given #7052 (H,wt=19): 7439 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(6991(a,1),6180(a,2,2))]. given #7053 (H,wt=19): 7444 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(6997(a,1),6082(a,1,2))]. given #7054 (H,wt=19): 7451 T(K(x,y) * z,y) * x = K(x,y) * (T(z,y) * x). [para(6902(a,2),7023(a,1,1))]. given #7055 (H,wt=19): 7470 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(199,a,6373,a(flip),b,7460,a(flip))]. given #7056 (H,wt=19): 7473 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7466(a,1),92(a,1,2))]. given #7057 (H,wt=19): 7475 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5022(a,1),7471(a,1,2))]. given #7058 (H,wt=15): 8056 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(199,a,7999,a(flip),b,7475,a(flip))]. given #7059 (H,wt=15): 8061 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(7106(a,1),8056(a,1,2,2))]. given #7060 (H,wt=17): 8058 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(4896(a,1),8056(a,1,2,2)),flip(a)]. given #7061 (H,wt=19): 7492 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(3905(a,1),7091(a,1,1,1))]. given #7062 (H,wt=17): 8064 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(199,a,7692,a(flip),b,7492,a(flip))]. given #7063 (H,wt=19): 7496 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(6086(a,1),7136(a,1,1))]. given #7064 (H,wt=19): 7501 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7176(a,1),7155(a,1,1))]. given #7065 (H,wt=19): 7510 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4625(a,1),7509(a,1,2,2,1))]. given #7066 (H,wt=19): 7540 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(7539(a,1),421(a,1,1))]. given #7067 (H,wt=17): 8067 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(199,a,5526,a(flip),b,7540,a(flip))]. given #7068 (H,wt=19): 7554 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(222(a,1),7403(a,1,2,2))]. given #7069 (H,wt=19): 7568 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(106(a,1),7500(a,1,1,2))]. given #7070 (H,wt=19): 7570 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7270(a,1),7500(a,1,1,2)),flip(a)]. given #7071 (H,wt=15): 8069 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(199,a,7500,a(flip),b,7570,a)]. given #7072 (H,wt=19): 7575 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7104(a,1),7503(a,1,2)),flip(a)]. given #7073 (H,wt=19): 7586 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(6504(a,1),7572(a,1,2,2)),flip(a)]. given #7074 (H,wt=19): 7588 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(6491(a,1),7577(a,1,2,1)),flip(a)]. given #7075 (H,wt=19): 7589 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7578(a,1),4780(a,2,2,2)),flip(a)]. given #7076 (H,wt=15): 8074 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(4781,a,7589,a),flip(a)]. given #7077 (H,wt=15): 8075 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(199,a,6141,a,b,8074,a(flip)),flip(a)]. given #7078 (H,wt=15): 8076 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [para(4775(a,1),8075(a,1,2))]. given #7079 (H,wt=15): 8078 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(5373,a,8076,a)]. given #7080 (H,wt=19): 7605 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(409(a,1),7604(a,1,2,2)),flip(a)]. given #7081 (H,wt=19): 7623 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(94(a,1),7622(a,1,2))]. given #7082 (H,wt=15): 8080 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(199,a,8007,a(flip),b,7623,a(flip)),flip(a)]. given #7083 (H,wt=13): 8082 T(x,y \ T(x,z)) = T(x,y \ x). [para(4618(a,1),8080(a,1,2,2)),flip(a)]. given #7084 (H,wt=13): 8084 T(x,T(x,y) / z) = T(x,z \ x). [hyper(7076,a,8082,a)]. given #7085 (H,wt=19): 7626 K(x,T(T(y,z),z * x)) != u | K(L(x,w,x),y) = u. [para(7531(a,1),7168(a,1))]. given #7086 (H,wt=19): 7657 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(7261(a,1),4652(a,2,2))]. given #7087 (H,wt=17): 8085 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(199,a,4652,a,b,7657,a)]. given #7088 (H,wt=17): 8086 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),8085(a,1,2,1,1)),flip(a)]. given #7089 (H,wt=15): 8087 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4770(a,1),8086(a,1,2)),flip(a)]. given #7090 (H,wt=15): 8088 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(199,a,8076,a(flip),b,8087,a)]. given #7091 (H,wt=15): 8089 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(63(a,1),8088(a,2,2,2))]. given #7092 (H,wt=17): 8091 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8089(a,1),7224(a,1,1)),flip(a)]. given #7093 (H,wt=19): 7662 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7308(a,1),7147(a,1,1))]. given #7094 (H,wt=19): 7664 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1224(a,1),7311(a,1,1))]. given #7095 (H,wt=19): 7667 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(7197,a,7337,a)]. given #7096 (H,wt=16): 8093 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(199,a,7624,a,b,7667,a),flip(a)]. given #7097 (H,wt=13): 8094 K(T(x * y,y) / x,z) = K(y,z). [hyper(7370,a,8093,a),flip(a)]. given #7098 (H,wt=15): 8096 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),8094(a,1,1,1,1))]. given #7099 (H,wt=19): 7677 (x \ K(x,y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(107(a,1),7676(a,2,2))]. given #7100 (H,wt=19): 7681 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(7680(a,1),4780(a,2,2,2))]. given #7101 (H,wt=15): 8098 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(199,a,4780,a,b,7681,a)]. given #7102 (H,wt=15): 8099 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(13(a,1),8098(a,1,2,2,1)),flip(a)]. given #7103 (H,wt=15): 8101 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(199,a,8035,a(flip),b,8099,a(flip)),flip(a)]. given #7104 (H,wt=17): 8102 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(199,a,6138,a(flip),b,8101,a(flip))]. given #7105 (H,wt=19): 7684 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(68,a,7682,a(flip),b,4016,a),flip(a)]. given #7106 (H,wt=19): 7686 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7683(a,1),5656(a,1,1)),flip(a)]. given #7107 (H,wt=19): 7698 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(154,a,7563,a,b,926,a)]. given #7108 (H,wt=19): 7700 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(5516(a,1),7579(a,1,1,2))]. given #7109 (H,wt=19): 7709 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(4633,a,7659,a)]. given #7110 (H,wt=19): 7718 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(6818(a,1),7711(a,1,2,2)),flip(a)]. given #7111 (H,wt=18): 8106 T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. [para(7718(a,2),7736(a,1))]. given #7112 (H,wt=19): 7745 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7716(a,2),5937(a,1,2))]. given #7113 (H,wt=19): 7748 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(7716(a,2),6240(a,1,1,2))]. given #7114 (H,wt=19): 7756 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7717(a,1),5595(a,2,1))]. given #7115 (H,wt=17): 8108 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(5633(a,1),7756(a,1,1)),flip(a)]. given #7116 (H,wt=19): 7777 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7097(a,1),7712(a,1,1,2)),flip(a)]. given #7117 (H,wt=15): 8109 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(199,a,7712,a(flip),b,7777,a)]. given #7118 (H,wt=19): 7789 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7141(a,1),7735(a,1,2,2))]. given #7119 (H,wt=19): 7790 K(x,K(y,y \ z)) * K(x,y \ z) = K(x,z / y). [hyper(199,a,7107,a(flip),b,7741,a)]. given #7120 (H,wt=17): 8112 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(7815(a,1),7790(a,1,1))]. given #7121 (H,wt=19): 7792 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(7749(a,2),7713(a,1,2))]. given #7122 (H,wt=19): 7801 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5126(a,1),7794(a,1,2,2)),flip(a)]. given #7123 (H,wt=19): 7821 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(7817(a,1),7094(a,1,2))]. given #7124 (H,wt=19): 7861 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5590(a,2),7849(a,1,2))]. given #7125 (H,wt=19): 7870 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(199,a,5591,a,b,7858,a(flip)),flip(a)]. given #7126 (H,wt=17): 8115 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7848(a,1),7870(a,1,1))]. given #7127 (H,wt=17): 8116 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(7857(a,1),7870(a,1,1))]. given #7128 (H,wt=17): 8117 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(7858(a,1),7870(a,1,1))]. given #7129 (H,wt=17): 8119 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(199,a,8108,a(flip),b,8116,a(flip)),flip(a)]. given #7130 (H,wt=17): 8120 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(199,a,8116,a(flip),b,8117,a(flip)),flip(a)]. given #7131 (H,wt=17): 8121 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(199,a,8115,a(flip),b,8117,a(flip))]. given #7132 (H,wt=17): 8124 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(199,a,7732,a,b,8119,a)]. given #7133 (H,wt=17): 8125 K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,z,u))). [hyper(199,a,7716,a,b,8120,a),flip(a)]. given #7134 (H,wt=17): 8130 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(4862,a,8124,a)]. given #7135 (H,wt=14): 8134 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(5974(a,1),8130(a,1,2)),flip(a)]. given #7136 (H,wt=17): 8133 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(199,a,8121,a,b,8130,a)]. given #7137 (H,wt=19): 7882 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(7879(a,1),105(a,1,2))]. given #7138 (H,wt=19): 7893 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(6231(a,1),7889(a,1,2)),flip(a)]. given #7139 (H,wt=19): 7923 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(234(a,1),7920(a,1,2)),flip(a)]. given #7140 (H,wt=19): 7924 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(544(a,1),7920(a,1,2)),flip(a)]. given #7141 (H,wt=19): 7931 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(198(a,1),7929(a,1,1))]. given #7142 (H,wt=15): 8140 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(199,a,6809,a(flip),b,7931,a)]. given #7143 (H,wt=15): 8143 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7312(a,1),8140(a,1,1,1)),flip(a)]. given #7144 (H,wt=15): 8144 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(199,a,7470,a(flip),b,8143,a(flip)),flip(a)]. given #7145 (H,wt=15): 8146 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(4738(a,1),8144(a,1,1,2,1))]. given #7146 (H,wt=15): 8152 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7106(a,1),8144(a,1,1,2))]. given #7147 (H,wt=17): 8148 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4896(a,1),8144(a,1,1,2)),flip(a)]. given #7148 (H,wt=17): 8149 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5480(a,1),8144(a,1,1,2))]. given #7149 (H,wt=19): 7959 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(107(a,1),7958(a,1,2,2)),flip(a)]. given #7150 (H,wt=19): 7987 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),6866(a,1,2,1))]. given #7151 (H,wt=19): 7991 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(7988(a,1),5976(a,2,2)),flip(a)]. given #7152 (H,wt=19): 7995 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(5950(a,1),7993(a,1,2,1))]. given #7153 (H,wt=19): 7996 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(6504(a,1),7993(a,1,2,1)),flip(a)]. given #7154 (H,wt=19): 8001 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7143(a,1),7994(a,1,2,1,2))]. given #7155 (H,wt=19): 8004 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(107(a,1),8002(a,1,2,2)),flip(a)]. given #7156 (H,wt=19): 8020 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(6550,a,8018,a)]. given #7157 (H,wt=17): 8160 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(199,a,8148,a(flip),b,8020,a)]. given #7158 (H,wt=19): 8023 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(199,a,6368,a(flip),b,8021,a(flip))]. given #7159 (H,wt=19): 8041 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7715(a,1),7120(a,1,1))]. given #7160 (H,wt=15): 8163 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(17,a,5265,a,b,8041,a)]. given #7161 (H,wt=15): 8164 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5266,a,8163,a)]. given #7162 (H,wt=15): 8165 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7715(a,1),8164(a,1,1))]. given #7163 (H,wt=16): 8166 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8165(a,1),6863(a,1,2))]. given #7164 (H,wt=19): 8046 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(199,a,4444,a,b,7344,a(flip)),flip(a)]. given #7165 (H,wt=17): 8168 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(4708,a,8046,a)]. given #7166 (H,wt=19): 8047 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),7357(a,2,2))]. given #7167 (H,wt=19): 8050 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4425(a,1),7436(a,1,1))]. given #7168 (H,wt=19): 8051 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(199,a,4423,a(flip),b,7439,a(flip))]. given #7169 (H,wt=19): 8060 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8056(a,1),7084(a,2,1))]. given #7170 (H,wt=19): 8062 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(5950(a,1),8061(a,1,2,2))]. given #7171 (H,wt=19): 8063 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(6504(a,1),8061(a,1,2,2)),flip(a)]. given #7172 (H,wt=19): 8070 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(5943(a,1),8069(a,1,2,1)),flip(a)]. given #7173 (H,wt=19): 8072 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(85(a,1),7586(a,1,2,2,1))]. given #7174 (H,wt=19): 8083 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5123(a,1),8080(a,1,2,2))]. given #7175 (H,wt=19): 8097 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4830(a,1),7677(a,1,1,2))]. given #7176 (H,wt=19): 8104 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(13(a,1),7698(a,1,1,2)),flip(a)]. given #7177 (H,wt=19): 8107 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6215(a,1),7745(a,1,1)),flip(a)]. given #7178 (H,wt=19): 8110 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5275(a,1),8109(a,1,2))]. given #7179 (H,wt=15): 8183 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(8106,a,8110,a(flip)),flip(a)]. given #7180 (H,wt=15): 8184 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6228(a,1),8183(a,1,2))]. given #7181 (H,wt=19): 8129 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(7869,a,8121,a)]. given #7182 (H,wt=19): 8135 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [para(5633(a,2),8133(a,1,2))]. given #7183 (H,wt=19): 8136 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6387(a,1),8133(a,1,2)),flip(a)]. given #7184 (H,wt=19): 8142 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7143(a,1),8140(a,1,1,1,2))]. given #7185 (H,wt=19): 8147 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(4764(a,1),8144(a,1,1,2)),flip(a)]. given #7186 (H,wt=19): 8151 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7143(a,1),8144(a,1,1,2,1))]. given #7187 (H,wt=19): 8158 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(221(a,1),7996(a,1,2,1,1))]. given #7188 (H,wt=19): 8159 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(199,a,6536,a(flip),b,8004,a(flip))]. given #7189 (H,wt=19): 8170 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),8047(a,1,2,1,2)),flip(a)]. given #7190 (H,wt=19): 8171 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(199,a,6588,a(flip),b,8050,a(flip)),flip(a)]. given #7191 (H,wt=19): 8174 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(199,a,7084,a,b,8060,a)]. given #7192 (H,wt=17): 8193 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4660(a,2),8174(a,1,2,1,2))]. given #7193 (H,wt=19): 8175 K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). [para(4738(a,1),8063(a,1,2,2,1,2))]. given #7194 (H,wt=19): 8176 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(199,a,7061,a,b,8070,a(flip)),flip(a)]. given #7195 (H,wt=19): 8187 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [hyper(199,a,8130,a,b,8135,a)]. given #7196 (H,wt=19): 8189 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4622(a,1),8151(a,1,1,2)),flip(a)]. given #7197 (H,wt=19): 8191 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),8171(a,1,2,1,2)),flip(a)]. given #7198 (H,wt=19): 8196 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [hyper(5188,a,8187,a)]. given #7199 (H,wt=19): 8197 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(199,a,7387,a,b,8189,a(flip)),flip(a)]. given #7200 (H,wt=17): 8199 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(199,a,6186,a(flip),b,8197,a)]. given #7201 (H,wt=17): 8200 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13(a,1),8199(a,1,1,1)),flip(a)]. given #7202 (H,wt=17): 8201 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(199,a,5164,a(flip),b,8200,a(flip)),flip(a)]. given #7203 (H,wt=17): 8202 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(7411,a,8201,a)]. given #7204 (H,wt=19): 8198 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(199,a,7995,a(flip),b,8191,a(flip)),flip(a)]. given #7205 (H,wt=17): 8203 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(12(a,1),8198(a,2,2,1))]. given #7206 (H,wt=17): 8205 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(16(a,1),8203(a,1,2,1)),flip(a)]. given #7207 (H,wt=19): 8204 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(13(a,1),8198(a,1,2,1,2)),flip(a)]. given #7208 (H,wt=20): 6870 K(T(x,y),x \ z) != u | K(T(x,y),T(x,y) \ z) = u. [para(47(a,1),6850(a,1,2,1))]. given #7209 (H,wt=20): 6901 T(x,R((y \ 1) \ 1,z,u)) != w | T(x,R(y,z,u)) = w. [para(3428(a,2),6900(a,1,2))]. given #7210 (H,wt=20): 6912 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5156(a,1),6902(a,1,1)),flip(a)]. given #7211 (H,wt=18): 8208 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(6926(a,1),6912(a,1,2))]. given #7212 (H,wt=15): 8209 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(199,a,5156,a(flip),b,8208,a(flip))]. given #7213 (H,wt=17): 8210 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(341,a,8209,a)]. given #7214 (H,wt=16): 8211 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6210(a,1),8210(a,1,1))]. given #7215 (H,wt=20): 6927 x * K(y * x,y) != x * z | T(K(y * x,y),x) = z. [para(6917(a,1),155(a,2)),flip(a)]. given #7216 (H,wt=20): 6958 T(x,T(y,z)) * K(y,z) != K(y,z) * u | T(x,y) = u. [para(6883(a,2),19(a,1))]. given #7217 (H,wt=20): 7086 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7071(a,1),6395(a,1,1)),flip(a)]. given #7218 (H,wt=20): 7196 K(x,T(y,z)) \ (y * u) != w | T(y,T(x,z)) * u = w. [para(7141(a,1),4973(a,1,1))]. given #7219 (H,wt=20): 7199 (x * K(y,T(z,u))) \ (x * z) != w | T(z,T(y,u)) = w. [para(7141(a,1),6226(a,1,1,2))]. given #7220 (H,wt=20): 7245 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7096(a,1),5843(a,1,1)),flip(a)]. given #7221 (H,wt=20): 7248 K(x,T(y,z)) * z != u * w | (z * K(x,y)) / w = u. [para(7101(a,1),323(a,1,1))]. given #7222 (H,wt=20): 7256 K(x,y) * z != u * w | u \ (z * K(x,T(y,z))) = w. [para(7105(a,1),492(a,1))]. given #7223 (H,wt=20): 7301 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(743(a,1),7139(a,1,2)),flip(a)]. given #7224 (H,wt=20): 7309 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7142(a,1),6367(a,1,1)),flip(a)]. given #7225 (H,wt=20): 7315 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7146(a,1),6453(a,1,1,2))]. given #7226 (H,wt=20): 7330 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7179(a,1),4661(a,1,1))]. given #7227 (H,wt=20): 7331 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7179(a,2),5289(a,1,2))]. given #7228 (H,wt=20): 7336 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(744(a,2),7182(a,1,1))]. given #7229 (H,wt=20): 7414 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(40(a,2),7377(a,1,1))]. given #7230 (H,wt=20): 7415 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(40(a,2),7377(a,1,2))]. given #7231 (H,wt=20): 7416 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(42(a,2),7377(a,1,1))]. given #7232 (H,wt=20): 7417 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),7377(a,1,2))]. given #7233 (H,wt=20): 7420 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(40(a,2),7382(a,1,1))]. given #7234 (H,wt=20): 7424 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(6612(a,2),7382(a,1))]. given #7235 (H,wt=15): 8214 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(7424,a,8002,a),flip(a)]. given #7236 (H,wt=17): 8216 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(185(a,1),8214(a,1,2,1))]. given #7237 (H,wt=18): 8215 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8002(a,1),7424(a,1))]. given #7238 (H,wt=19): 8217 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(3905(a,1),8214(a,1,2,1)),flip(a)]. given #7239 (H,wt=20): 7431 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7427(a,1),7191(a,1,1,2)),flip(a)]. given #7240 (H,wt=18): 8220 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(199,a,7191,a(flip),b,7431,a)]. given #7241 (H,wt=20): 7551 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(6430(a,1),7401(a,1,1,2))]. given #7242 (H,wt=20): 7560 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(161(a,1),7435(a,1,2)),flip(a)]. given #7243 (H,wt=18): 8222 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(199,a,4829,a(flip),b,7560,a)]. given #7244 (H,wt=20): 7594 T(x,T(y,z) \ T(x,z)) != u | T(x,T(y \ x,z)) = u. [para(6610(a,2),7192(a,1))]. given #7245 (H,wt=15): 8224 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(7594,a,8082,a),flip(a)]. given #7246 (H,wt=20): 7598 T(x,T(T(y \ z,u),y)) != w | T(x,T(z / y,u)) = w. [para(167(a,1),7595(a,1,2,1))]. given #7247 (H,wt=20): 7606 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(117(a,1),7378(a,1,2))]. given #7248 (H,wt=20): 7610 K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. [para(3866(a,1),7381(a,1,2))]. given #7249 (H,wt=15): 8226 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(7610,a,7915,a)]. given #7250 (H,wt=18): 8227 K(x,T(y * z,y)) != u | K(x,T(y * z,z)) = u. [para(7915(a,1),7610(a,1))]. given #7251 (H,wt=20): 7620 K(x,y / R(x,z,u)) != w | K(x,R(x,z,u) \ y) = w. [para(544(a,1),7419(a,1,1))]. given #7252 (H,wt=20): 7628 T(x,(x \ y) \ z) != u | T(x,T(z / (x \ y),y)) = u. [para(107(a,1),7544(a,1,2))]. given #7253 (H,wt=20): 7629 T(x,K(y,y \ z)) != u | T(T(x,y \ z),z / y) = u. [para(6890(a,1),7596(a,1))]. given #7254 (H,wt=20): 7630 T(K(x,y \ z),T(y,z)) != u | T(K(x,y \ z),y) = u. [para(7078(a,1),7600(a,1))]. given #7255 (H,wt=20): 7634 K(x,y / (x * z)) != u | K(x,T((x * z) \ y,z)) = u. [para(7107(a,1),7627(a,1))]. given #7256 (H,wt=20): 7642 T(x,x / (x * y)) != z * u | z \ T(x,y \ 1) = u. [para(3315(a,1),7055(a,1))]. given #7257 (H,wt=20): 7656 K(x,K(y,z)) * u != u * w | K(x,K(y,T(z,u))) = w. [para(7258(a,1),19(a,1))]. given #7258 (H,wt=20): 7669 K(x,y) * (x * z) != (x * z) * u | K(x,T(y,z)) = u. [para(7360(a,1),19(a,1))]. given #7259 (H,wt=20): 7742 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7716(a,2),4977(a,1,1))]. given #7260 (H,wt=20): 7768 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(7732(a,1),6007(a,1,2))]. given #7261 (H,wt=20): 7907 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(7791(a,2),7739(a,1))]. given #7262 (H,wt=20): 7937 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(7901(a,2),7195(a,1))]. given #7263 (H,wt=20): 7950 K(x,T(y / (x * z),z)) != u | K(x,z \ (x \ y)) = u. [para(7364(a,2),7371(a,1))]. given #7264 (H,wt=20): 7983 K(x * (y \ 1),y \ 1) != z | K(y \ x,y \ 1) = z. [para(112(a,1),7967(a,1,1))]. given #7265 (H,wt=20): 8077 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8075(a,1),7973(a,1,2))]. given #7266 (H,wt=20): 8127 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(8120(a,1),7739(a,1))]. given #7267 (H,wt=19): 8228 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(8127,a,8136,a)]. given #7268 (H,wt=20): 8128 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8120(a,2),7739(a,1))]. given #7269 (H,wt=20): 8131 K(x,K(y,L(z,u,w))) != v5 | K(x,L(K(z,y),u,w)) = v5. [para(8124(a,1),4862(a,1))]. given #7270 (H,wt=20): 8132 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8124(a,2),7739(a,1))]. given #7271 (H,wt=20): 8137 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7923(a,1),5923(a,1,2))]. given #7272 (H,wt=20): 8138 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(7924(a,1),4824(a,1,2))]. given #7273 (H,wt=20): 8190 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(4945,a,8170,a)]. given #7274 (H,wt=20): 8207 T(x,R(1 / y,z,u)) != w | T(x,R(y \ 1,z,u)) = w. [para(3915(a,1),6901(a,1,2,1))]. given #7275 (H,wt=20): 8212 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(69,a,8211,a(flip),b,6651,a(flip))]. given #7276 (H,wt=20): 8229 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(8115(a,2),8127(a,1))]. given #7277 (H,wt=20): 8230 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8116(a,2),8127(a,1))]. given #7278 (H,wt=20): 8231 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(4738(a,1),8128(a,1,2))]. given #7279 (H,wt=20): 8232 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8130(a,2),8128(a,1))]. given #7280 (H,wt=20): 8233 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8133(a,2),8128(a,1))]. given #7281 (H,wt=20): 8239 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7371,a,8190,a)]. given #7282 (H,wt=21): 6929 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(199,a,5486,a(flip),b,6921,a)]. given #7283 (H,wt=21): 6930 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),6921(a,2,2))]. given #7284 (H,wt=21): 6980 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(6972(a,1),432(a,1,1,1)),flip(a)]. given #7285 (H,wt=13): 8240 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(4498,a,6980,a)]. given #7286 (H,wt=13): 8243 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(199,a,6381,a(flip),b,8240,a(flip)),flip(a)]. given #7287 (H,wt=21): 7015 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(5889(a,1),6999(a,1,1))]. given #7288 (H,wt=17): 8244 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(199,a,6494,a(flip),b,7015,a(flip)),flip(a)]. given #7289 (H,wt=13): 8245 K(K(x \ y,x) * z,y) = K(z,y). [hyper(7614,a,8244,a),flip(a)]. given #7290 (H,wt=21): 7081 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7069(a,1),6561(a,1,2))]. given #7291 (H,wt=21): 7185 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(232(a,1),7141(a,1,1))]. given #7292 (H,wt=21): 7214 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7143(a,1),5727(a,1,1))]. given #7293 (H,wt=17): 8249 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(199,a,7206,a(flip),b,7214,a)]. given #7294 (H,wt=15): 8253 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [para(166(a,1),8249(a,1,2))]. given #7295 (H,wt=13): 8254 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(199,a,5835,a(flip),b,8253,a(flip)),flip(a)]. given #7296 (H,wt=17): 8252 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(14(a,1),8249(a,1,2)),flip(a)]. given #7297 (H,wt=17): 8255 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),8253(a,1,2))]. given #7298 (H,wt=17): 8256 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(199,a,5729,a,b,8252,a(flip)),flip(a)]. given #7299 (H,wt=17): 8260 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(4738(a,1),8256(a,1,2,1))]. given #7300 (H,wt=19): 8257 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(47(a,1),8252(a,1,2,2,1))]. given #7301 (H,wt=16): 8261 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(199,a,293,a(flip),b,8257,a)]. given #7302 (H,wt=16): 8262 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(199,a,7084,a(flip),b,8261,a)]. given #7303 (H,wt=20): 8250 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7214(a,2),7417(a,1))]. given #7304 (H,wt=18): 8263 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(104(a,1),8250(a,1,2,1))]. given #7305 (H,wt=21): 7217 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(7143(a,1),6387(a,1,1))]. given #7306 (H,wt=17): 8264 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(199,a,7204,a(flip),b,7217,a)]. given #7307 (H,wt=15): 8268 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(105(a,1),8264(a,1,2))]. given #7308 (H,wt=13): 8271 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(199,a,6381,a(flip),b,8268,a(flip)),flip(a)]. given #7309 (H,wt=15): 8270 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(152(a,1),8264(a,1,2)),flip(a)]. given #7310 (H,wt=17): 8267 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(199,a,6390,a(flip),b,8264,a(flip)),flip(a)]. given #7311 (H,wt=17): 8269 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(153(a,1),8264(a,1,2))]. given #7312 (H,wt=17): 8276 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7105(a,1),8267(a,1,2,2))]. given #7313 (H,wt=20): 8265 L(K(x,y),z * T(y,u),w) != v5 | K(x,L(y,z,w)) = v5. [para(7217(a,2),7415(a,1))]. given #7314 (H,wt=18): 8278 L(K(x,y),z * y,u) != w | K(x,L(y,z,u)) = w. [para(104(a,1),8265(a,1,2,2))]. given #7315 (H,wt=21): 7240 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(6833(a,1),7095(a,1,2))]. given #7316 (H,wt=17): 8280 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(199,a,8151,a(flip),b,7240,a(flip)),flip(a)]. given #7317 (H,wt=15): 8281 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(7122,a,8280,a),flip(a)]. given #7318 (H,wt=19): 8283 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(8281(a,1),6232(a,1,1,2)),flip(a)]. given #7319 (H,wt=15): 8284 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(199,a,6232,a(flip),b,8283,a)]. given #7320 (H,wt=17): 8285 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(7155(a,1),8284(a,1,2,1))]. given #7321 (H,wt=20): 8286 K(x,(y * T(x,z)) / u) != w | K(x,y / (x \ u)) = w. [para(8285(a,2),7953(a,1))]. given #7322 (H,wt=21): 7302 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(740(a,1),7139(a,1,2)),flip(a)]. given #7323 (H,wt=21): 7325 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7270(a,1),7169(a,1,2))]. given #7324 (H,wt=17): 8287 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(199,a,8142,a(flip),b,7325,a(flip)),flip(a)]. given #7325 (H,wt=15): 8288 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(7197,a,8287,a),flip(a)]. given #7326 (H,wt=19): 8290 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(6504(a,1),8288(a,1,1,2)),flip(a)]. given #7327 (H,wt=19): 8291 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7146(a,1),8290(a,1,1,2,1))]. given #7328 (H,wt=19): 8292 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7250(a,1),8290(a,1,1,2,1)),flip(a)]. given #7329 (H,wt=21): 7333 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(734(a,1),7180(a,1,1))]. given #7330 (H,wt=19): 8294 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(199,a,7987,a(flip),b,7333,a)]. given #7331 (H,wt=21): 7340 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(199,a,4815,a,b,7183,a(flip)),flip(a)]. given #7332 (H,wt=21): 7342 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [hyper(199,a,5132,a,b,7190,a),flip(a)]. given #7333 (H,wt=21): 7359 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7326(a,1),5835(a,1,1))]. given #7334 (H,wt=19): 8298 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(199,a,5835,a(flip),b,7359,a(flip))]. given #7335 (H,wt=21): 7408 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(5970(a,1),7320(a,1,2))]. given #7336 (H,wt=21): 7438 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(4851(a,1),6991(a,1,2,1)),flip(a)]. given #7337 (H,wt=21): 7453 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7447(a,1),397(a,1,2,1))]. given #7338 (H,wt=13): 8301 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(4509,a,7453,a)]. given #7339 (H,wt=13): 8304 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(199,a,5835,a(flip),b,8301,a(flip)),flip(a)]. given #7340 (H,wt=21): 7454 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7447(a,1),398(a,1,2,1))]. given #7341 (H,wt=13): 8308 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(4509,a,7454,a)]. given #7342 (H,wt=13): 8309 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(199,a,5835,a(flip),b,8308,a(flip)),flip(a)]. given #7343 (H,wt=19): 8310 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(7416,a,8309,a),flip(a)]. given #7344 (H,wt=15): 8311 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(7377,a,8310,a),flip(a)]. given #7345 (H,wt=19): 8313 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(8311(a,1),4620(a,2,1,1))]. given #7346 (H,wt=15): 8314 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(199,a,4620,a,b,8313,a)]. given #7347 (H,wt=21): 7490 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7047(a,1),6810(a,1,1,2)),flip(a)]. given #7348 (H,wt=20): 8315 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(199,a,7551,a(flip),b,7490,a(flip))]. given #7349 (H,wt=14): 8316 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(199,a,7361,a(flip),b,8315,a)]. given #7350 (H,wt=14): 8317 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),8316(a,1,1,2)),flip(a)]. given #7351 (H,wt=14): 8318 K(x * R(y,z,y),y) = K(y * x,y). [hyper(199,a,6858,a(flip),b,8317,a(flip)),flip(a)]. given #7352 (H,wt=18): 8319 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(8318(a,1),4780(a,2,2,2))]. given #7353 (H,wt=14): 8320 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(199,a,4780,a,b,8319,a)]. given #7354 (H,wt=16): 8321 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(199,a,4652,a(flip),b,8320,a)]. given #7355 (H,wt=14): 8322 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4708,a,8321,a)]. given #7356 (H,wt=14): 8323 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(199,a,6864,a,b,8322,a(flip)),flip(a)]. given #7357 (H,wt=17): 8324 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(199,a,7008,a,b,8323,a(flip)),flip(a)]. given #7358 (H,wt=21): 7504 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(7211(a,1),4603(a,2,2))]. given #7359 (H,wt=17): 8325 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(7143(a,1),7504(a,1,1)),flip(a)]. given #7360 (H,wt=17): 8327 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(8325(a,1),5342(a,1,1))]. given #7361 (H,wt=21): 7511 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7037(a,1),7249(a,1,2,1))]. given #7362 (H,wt=21): 7512 (x * y) * K(z,(x * y) \ y) = K(z,x \ 1) * (x * y). [para(5239(a,1),7255(a,1,1)),flip(a)]. given #7363 (H,wt=21): 7515 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(6243,a,7265,a)]. given #7364 (H,wt=21): 7522 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5395(a,2),7296(a,2,2))]. given #7365 (H,wt=19): 8330 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(199,a,4652,a,b,7522,a)]. given #7366 (H,wt=18): 8332 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(8330(a,1),6897(a,1))]. given #7367 (H,wt=19): 8331 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(5284,a,8330,a)]. given #7368 (H,wt=21): 7569 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1605(a,1),7500(a,1,1,2))]. given #7369 (H,wt=17): 8334 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(199,a,7500,a(flip),b,7569,a(flip))]. given #7370 (H,wt=21): 7641 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(6916(a,2),7032(a,1,1))]. given #7371 (H,wt=21): 7645 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6231(a,1),7126(a,1,2,1))]. given #7372 (H,wt=21): 7646 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(117(a,1),7178(a,2,2))]. given #7373 (H,wt=21): 7649 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(3905(a,1),7178(a,1,1,1))]. given #7374 (H,wt=19): 8335 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(199,a,8298,a(flip),b,7649,a)]. given #7375 (H,wt=21): 7650 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(6435,a,7203,a)]. given #7376 (H,wt=17): 8337 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7143(a,1),7650(a,1,1)),flip(a)]. given #7377 (H,wt=15): 8338 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(122(a,1),8337(a,1,1,2)),flip(a)]. given #7378 (H,wt=14): 8341 K(L(x,y,z),x * y) = K(x,x * y). [hyper(7397,a,8338,a),flip(a)]. given #7379 (H,wt=15): 8339 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(181(a,1),8337(a,1,1,2))]. given #7380 (H,wt=12): 8345 K(L(x,x \ 1,y),z) = K(x,z). [hyper(199,a,281,a(flip),b,8339,a)]. given #7381 (H,wt=18): 8346 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(7414,a,8345,a),flip(a)]. given #7382 (H,wt=17): 8347 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(8346(a,1),7377(a,1))]. given #7383 (H,wt=19): 8343 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4598(a,2),8338(a,1,2)),flip(a)]. given #7384 (H,wt=12): 8348 L(K(x,y),K(z,x),u) = K(x,y). [hyper(8347,a,8343,a),flip(a)]. given #7385 (H,wt=19): 8349 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(8348(a,1),92(a,1,2))]. given #7386 (H,wt=10): 8352 R(x,K(y,z),K(z,u)) = x. [hyper(427,a,8349,a)]. given #7387 (H,wt=12): 8357 R(x,T(K(y,z),u),K(z,w)) = x. [para(1818(a,1),8352(a,1,2))]. given #7388 (H,wt=13): 8359 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(5573(a,1),8352(a,1,3))]. given #7389 (H,wt=13): 8360 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5594(a,1),8352(a,1,2))]. given #7390 (H,wt=13): 8361 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(5706(a,1),8352(a,1,3))]. given #7391 (H,wt=14): 8362 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5392(a,1),8357(a,1,3))]. given #7392 (H,wt=18): 8356 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(199,a,6228,a(flip),b,8352,a)]. given #7393 (H,wt=18): 8365 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(8362(a,1),6606(a,1)),flip(a)]. given #7394 (H,wt=19): 8351 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6243,a,8349,a)]. given #7395 (H,wt=19): 8353 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(199,a,6508,a,b,8349,a(flip)),flip(a)]. given #7396 (H,wt=19): 8355 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1914(a,2),8349(a,2,2))]. given #7397 (H,wt=19): 8369 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1914(a,2),8351(a,1,1,2))]. given #7398 (H,wt=19): 8370 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(1914(a,2),8353(a,2,2))]. given #7399 (H,wt=10): 8375 R(x,K(y,z),K(u,y)) = x. [hyper(427,a,8370,a)]. given #7400 (H,wt=12): 8376 L(K(x,y),K(y,z),u) = K(x,y). [hyper(391,a,8370,a)]. given #7401 (H,wt=16): 8380 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(7143(a,1),8376(a,1,2))]. given #7402 (H,wt=19): 8374 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,8351,a,b,8369,a(flip)),flip(a)]. given #7403 (H,wt=19): 8377 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6215(a,1),8370(a,1,1)),flip(a)]. given #7404 (H,wt=19): 8382 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(268,a,8374,a),flip(a)]. given #7405 (H,wt=19): 8384 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(1914(a,1),8382(a,1,2))]. given #7406 (H,wt=20): 8354 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(199,a,6437,a(flip),b,8349,a(flip))]. given #7407 (H,wt=17): 8385 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5460(a,1),8354(a,1,2)),flip(a)]. given #7408 (H,wt=13): 8387 x / R(x,y,x) = x \ L(x,y,x). [hyper(66,a,1682,a(flip),b,8385,a(flip)),flip(a)]. given #7409 (H,wt=17): 8386 x * (R(x,y,x) \ z) = z * (x \ L(x,y,x)). [hyper(199,a,7489,a(flip),b,8385,a(flip)),flip(a)]. given #7410 (H,wt=19): 8389 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [hyper(68,a,4628,a(flip),b,8386,a)]. given #7411 (H,wt=17): 8390 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7682(a,1),8389(a,1,2)),flip(a)]. given #7412 (H,wt=19): 8391 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(199,a,7051,a,b,8390,a(flip)),flip(a)]. given #7413 (H,wt=21): 7661 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(7298(a,1),7105(a,1,2))]. given #7414 (H,wt=21): 7670 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(7084(a,2),7360(a,1,2,2))]. given #7415 (H,wt=17): 8394 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(17,a,7258,a,b,7670,a),flip(a)]. given #7416 (H,wt=17): 8395 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(14(a,1),8394(a,1,2,2,2)),flip(a)]. given #7417 (H,wt=21): 7706 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7639(a,2),6440(a,1,2))]. given #7418 (H,wt=21): 7708 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6251(a,1),7648(a,1,1,1))]. given #7419 (H,wt=21): 7746 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(7716(a,2),6080(a,2,2))]. given #7420 (H,wt=21): 7747 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(7716(a,2),6081(a,1,2,2))]. given #7421 (H,wt=21): 7751 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(199,a,5586,a(flip),b,7717,a)]. given #7422 (H,wt=17): 8397 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5586(a,1),7751(a,1,1)),flip(a)]. given #7423 (H,wt=21): 7752 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(199,a,5703,a,b,7717,a(flip)),flip(a)]. given #7424 (H,wt=21): 7759 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7717(a,1),7655(a,2,1))]. given #7425 (H,wt=21): 7762 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5586(a,1),7722(a,1,1)),flip(a)]. given #7426 (H,wt=17): 8400 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5586(a,1),7762(a,1,2)),flip(a)]. given #7427 (H,wt=17): 8401 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(199,a,8397,a,b,8400,a(flip)),flip(a)]. given #7428 (H,wt=17): 8402 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7732(a,1),8401(a,1,1))]. given #7429 (H,wt=21): 7772 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(199,a,6338,a,b,7727,a)]. given #7430 (H,wt=21): 7784 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7326(a,1),7724(a,1,1,2))]. given #7431 (H,wt=17): 8403 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(199,a,7724,a(flip),b,7784,a(flip))]. given #7432 (H,wt=17): 8404 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8403(a,1,2,2)),flip(a)]. given #7433 (H,wt=21): 7788 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(7260(a,1),7734(a,1,2))]. given #7434 (H,wt=21): 7803 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(7802(a,1),7727(a,1,1))]. given #7435 (H,wt=19): 8406 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(7742,a,7803,a),flip(a)]. given #7436 (H,wt=19): 8407 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(5888,a,8406,a),flip(a)]. given #7437 (H,wt=19): 8409 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(8406(a,2),6232(a,1,1))]. given #7438 (H,wt=19): 8411 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6215(a,1),8409(a,1,1,1))]. given #7439 (H,wt=19): 8412 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(8411(a,1),14(a,1,2)),flip(a)]. given #7440 (H,wt=17): 8413 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(199,a,7906,a(flip),b,8412,a)]. given #7441 (H,wt=20): 8414 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(8413(a,2),19(a,1))]. given #7442 (H,wt=21): 7873 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(199,a,5466,a(flip),b,7862,a(flip)),flip(a)]. given #7443 (H,wt=21): 7910 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(7810(a,1),7494(a,2,1))]. given #7444 (H,wt=21): 7912 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(68,a,7911,a(flip),b,6236,a)]. given #7445 (H,wt=21): 7927 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(7913(a,1),163(a,1,2))]. given #7446 (H,wt=21): 7935 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(409(a,1),7934(a,1,2)),flip(a)]. given #7447 (H,wt=21): 7961 K(x,y \ (x \ (y * z))) != u | L(K(x,x \ z),z,y) = u. [para(7559(a,1),6403(a,1))]. given #7448 (H,wt=21): 7981 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(6367(a,2),7948(a,1))]. given #7449 (H,wt=21): 8022 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(199,a,6400,a(flip),b,8021,a(flip)),flip(a)]. given #7450 (H,wt=21): 8049 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),7436(a,1,1,1,1,2))]. given #7451 (H,wt=21): 8053 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(13(a,1),7444(a,2,2,1,2))]. given #7452 (H,wt=21): 8068 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(7568(a,1),5980(a,1,1,1))]. given #7453 (H,wt=21): 8073 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(4632(a,1),7588(a,1,2,1,1)),flip(a)]. given #7454 (H,wt=21): 8103 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7686(a,1),4967(a,1,2))]. given #7455 (H,wt=21): 8105 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(7709(a,1),5900(a,1,2)),flip(a)]. given #7456 (H,wt=21): 8162 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8160(a,1),7716(a,2,2))]. given #7457 (H,wt=21): 8167 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(107(a,1),8166(a,1,2,2)),flip(a)]. given #7458 (H,wt=21): 8172 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(13(a,1),8051(a,2,2,2,1))]. given #7459 (H,wt=21): 8178 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4109(a,2),8097(a,1,1,2))]. given #7460 (H,wt=21): 8194 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7194(a,1),8174(a,1,2,1,2))]. given #7461 (H,wt=19): 8422 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(199,a,8193,a(flip),b,8194,a)]. given #7462 (H,wt=21): 8223 K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. [para(7560(a,2),4943(a,1))]. given #7463 (H,wt=21): 8241 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(6980(a,1),6232(a,1,1))]. given #7464 (H,wt=13): 8424 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(6457,a,8241,a)]. given #7465 (H,wt=13): 8425 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(8278,a,8424,a)]. given #7466 (H,wt=13): 8426 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(199,a,8338,a(flip),b,8424,a(flip)),flip(a)]. given #7467 (H,wt=21): 8248 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(8245(a,1),4652(a,2,2)),flip(a)]. given #7468 (H,wt=19): 8428 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6007,a,8248,a),flip(a)]. given #7469 (H,wt=21): 8274 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(4626(a,1),8268(a,1,2))]. given #7470 (H,wt=17): 8430 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(199,a,8276,a(flip),b,8274,a)]. given #7471 (H,wt=21): 8277 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(8269(a,1),8130(a,1,2)),flip(a)]. given #7472 (H,wt=21): 8296 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4624(a,1),7340(a,1,1,1,2))]. given #7473 (H,wt=21): 8299 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [hyper(67,a,8298,a,b,5036,a),flip(a)]. given #7474 (H,wt=19): 8435 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(4914,a,8299,a),flip(a)]. given #7475 (H,wt=21): 8300 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5008(a,1),7438(a,1,2))]. given #7476 (H,wt=21): 8302 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4622(a,1),7453(a,1,1)),flip(a)]. given #7477 (H,wt=21): 8305 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(199,a,5715,a(flip),b,8301,a(flip)),flip(a)]. given #7478 (H,wt=21): 8306 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(8304(a,1),4660(a,2,1)),flip(a)]. given #7479 (H,wt=21): 8344 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(7143(a,1),8338(a,1,1))]. given #7480 (H,wt=20): 8440 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8344(a,2),7414(a,1))]. given #7481 (H,wt=13): 8443 K(x,y) != z | K(L(x,u,x),y) = z. [para(6973(a,1),8440(a,1))]. given #7482 (H,wt=18): 8441 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(104(a,1),8440(a,1,2,1))]. given #7483 (H,wt=16): 8444 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(6387(a,1),8441(a,1))]. given #7484 (H,wt=18): 8442 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(166(a,1),8440(a,1,2))]. given #7485 (H,wt=19): 8445 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(7006(a,2),8442(a,1))]. given #7486 (H,wt=21): 8373 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6218(a,1),8355(a,1,1)),flip(a)]. given #7487 (H,wt=20): 8446 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(199,a,6429,a(flip),b,8373,a)]. given #7488 (H,wt=21): 8393 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [hyper(199,a,7117,a,b,7661,a(flip)),flip(a)]. given #7489 (H,wt=21): 8398 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7717(a,1),7752(a,1,1))]. given #7490 (H,wt=19): 8447 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(199,a,7851,a(flip),b,8398,a)]. given #7491 (H,wt=17): 8449 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7850(a,1),8447(a,1,1))]. given #7492 (H,wt=17): 8450 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7851(a,1),8447(a,1,1))]. given #7493 (H,wt=17): 8451 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(199,a,8401,a(flip),b,8449,a(flip)),flip(a)]. given #7494 (H,wt=17): 8452 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(199,a,8402,a(flip),b,8450,a(flip)),flip(a)]. given #7495 (H,wt=14): 8454 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3849(a,1),8452(a,1,2)),flip(a)]. given #7496 (H,wt=21): 8405 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(199,a,7716,a,b,7788,a)]. given #7497 (H,wt=21): 8410 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7737(a,1),8407(a,1,1)),flip(a)]. given #7498 (H,wt=21): 8416 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4416(a,2),7927(a,1,2))]. given #7499 (H,wt=21): 8420 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(199,a,7716,a(flip),b,8162,a)]. given #7500 (H,wt=21): 8421 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(199,a,7141,a,b,8194,a)]. given #7501 (H,wt=21): 8434 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8296(a,1),16(a,1,1))]. given #7502 (H,wt=21): 8437 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1680(a,2),8302(a,1,2))]. given #7503 (H,wt=21): 8438 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(199,a,7408,a(flip),b,8305,a)]. given #7504 (H,wt=21): 8439 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(199,a,42,a,b,8306,a)]. given #7505 (H,wt=21): 8456 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8434(a,1),5012(a,1,2))]. given #7506 (H,wt=22): 6847 K(x \ 1,((x \ 1) \ 1) * y) != z | K(x \ 1,x * y) = z. [para(2794(a,1),6817(a,1,2))]. given #7507 (H,wt=20): 8462 K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,x * y) = z. [para(4109(a,1),6847(a,1))]. given #7508 (H,wt=22): 6876 x \ (y * T(x,z)) != K(x,z) * u | T(T(y,x),K(x,z)) = u. [para(6873(a,2),155(a,2)),flip(a)]. given #7509 (H,wt=22): 6913 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(357(a,1),6906(a,2,1))]. given #7510 (H,wt=19): 8463 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(199,a,464,a(flip),b,6913,a(flip))]. given #7511 (H,wt=22): 7042 L(x,y,x) * T(z,x) != u * w | u \ (z * L(x,y,x)) = w. [para(7037(a,1),494(a,1,2))]. given #7512 (H,wt=22): 7072 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(447(a,1),7011(a,1,2))]. given #7513 (H,wt=22): 7088 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(199,a,6419,a,b,7084,a),flip(a)]. given #7514 (H,wt=22): 7111 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7084(a,2),554(a,2,1))]. given #7515 (H,wt=22): 7119 T(x,y) * K(z,T(u,x)) != w | K(x,y) * (K(z,u) * x) = w. [para(7084(a,2),5359(a,1,2))]. given #7516 (H,wt=22): 7223 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7145(a,1),5136(a,1,2))]. given #7517 (H,wt=18): 8468 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(7774(a,1),7223(a,1,1)),flip(a)]. given #7518 (H,wt=13): 8469 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(199,a,5136,a(flip),b,8468,a)]. given #7519 (H,wt=13): 8471 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(199,a,6896,a(flip),b,8469,a(flip)),flip(a)]. given #7520 (H,wt=17): 8473 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(107(a,1),8471(a,1,2)),flip(a)]. given #7521 (H,wt=22): 7284 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7269(a,1),5968(a,1,1)),flip(a)]. given #7522 (H,wt=20): 8475 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7275(a,1),7284(a,2,2))]. given #7523 (H,wt=17): 8476 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(199,a,5371,a(flip),b,8475,a)]. given #7524 (H,wt=22): 7299 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(28(a,2),7138(a,1,2,1)),flip(a)]. given #7525 (H,wt=22): 7300 K(x,T(L(y \ z,y,u),u * y)) = K(x,(u * z) / (u * y)). [para(94(a,2),7138(a,1,2,1))]. given #7526 (H,wt=22): 7306 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(7140(a,1),6145(a,1))]. given #7527 (H,wt=22): 7338 ((x * y) / x) * K(y,T(z,x)) != u | T((x * y) / x,z) = u. [para(7182(a,1),4655(a,1,2))]. given #7528 (H,wt=17): 8478 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(7338,a,5268,a),flip(a)]. given #7529 (H,wt=17): 8479 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5037,a,8478,a)]. given #7530 (H,wt=17): 8480 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4624(a,1),8479(a,1,2,1))]. given #7531 (H,wt=22): 7437 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(173(a,1),6991(a,1,2,1)),flip(a)]. given #7532 (H,wt=22): 7483 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7036(a,1),1510(a,1,1))]. given #7533 (H,wt=22): 7632 K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. [para(5753(a,2),7625(a,1))]. given #7534 (H,wt=22): 7647 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1687(a,1),7178(a,1,1)),flip(a)]. given #7535 (H,wt=22): 7651 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1438(a,1),7203(a,1,1))]. given #7536 (H,wt=22): 7652 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1438(a,1),7204(a,1,2))]. given #7537 (H,wt=22): 7699 T(x,y) * T(z,x) != x * u | T(T(x,y) * (x \ z),x) = u. [para(7563(a,1),155(a,2)),flip(a)]. given #7538 (H,wt=22): 7971 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7827(a,1),7719(a,1,2))]. given #7539 (H,wt=22): 7972 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7749(a,2),7736(a,1,2))]. given #7540 (H,wt=22): 7984 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(5291(a,2),7979(a,1))]. given #7541 (H,wt=22): 8003 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),7997(a,1,2)),flip(a)]. given #7542 (H,wt=21): 8487 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(536(a,1),8003(a,1,2))]. given #7543 (H,wt=10): 8488 K(x,a(K(x,y),z,u)) = 1. [hyper(199,a,5396,a(flip),b,8487,a(flip))]. given #7544 (H,wt=10): 8489 K(a(K(x,y),z,u),x) = 1. [hyper(4862,a,8488,a)]. given #7545 (H,wt=10): 8491 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,8488,a)]. given #7546 (H,wt=17): 8492 K(x,K(a(K(y,z),u,w),y)) * v5 != v6 | v5 = v6. [para(8489(a,2),136(a,1,1,2))]. given #7547 (H,wt=17): 8493 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(8491(a,1),105(a,1,2))]. given #7548 (H,wt=21): 8494 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8491(a,1),7146(a,1,2,1)),flip(a)]. given #7549 (H,wt=21): 8495 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [hyper(8492,a,7760,a),flip(a)]. given #7550 (H,wt=22): 8016 K(x,y \ (T(x,z) \ u)) != w | K(x,(T(x,z) * y) \ u) = w. [para(8014(a,1),6551(a,1))]. given #7551 (H,wt=17): 8497 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(8016,a,8058,a)]. given #7552 (H,wt=22): 8033 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2681(a,1),8028(a,1,2,1)),flip(a)]. given #7553 (H,wt=22): 8045 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2811(a,1),7254(a,1,2,2))]. given #7554 (H,wt=22): 8048 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | K(x,u) = w. [para(7365(a,1),254(a,1,2)),flip(b)]. given #7555 (H,wt=22): 8054 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(7444(a,1),6245(a,1,1))]. given #7556 (H,wt=22): 8066 T(x * K(y,x),T(z,T(x,u))) != w | T(x * K(y,x),z) = w. [para(7510(a,1),7595(a,1))]. given #7557 (H,wt=22): 8118 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). [para(8115(a,1),92(a,1,2))]. given #7558 (H,wt=22): 8122 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8117(a,1),92(a,1,2))]. given #7559 (H,wt=22): 8126 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(198(a,1),8120(a,2,2,2))]. given #7560 (H,wt=22): 8154 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(157(a,1),8149(a,1,1)),flip(a)]. given #7561 (H,wt=22): 8173 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(8051(a,1),19(a,1))]. given #7562 (H,wt=22): 8221 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4786(a,1),8220(a,1,2,2))]. given #7563 (H,wt=22): 8234 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(68,a,8137,a(flip),b,4908,a),flip(a)]. given #7564 (H,wt=22): 8236 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(68,a,8138,a(flip),b,4908,a),flip(a)]. given #7565 (H,wt=22): 8237 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(68,a,8138,a(flip),b,4626,a),flip(a)]. given #7566 (H,wt=22): 8272 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(199,a,6368,a(flip),b,8268,a(flip))]. given #7567 (H,wt=22): 8273 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8268(a,1),92(a,1,2))]. given #7568 (H,wt=18): 8506 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(85(a,1),8273(a,2,2))]. given #7569 (H,wt=19): 8509 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(8506(a,1),7572(a,1,2,2)),flip(a)]. given #7570 (H,wt=19): 8510 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(8506(a,1),8006(a,1,2,1)),flip(a)]. given #7571 (H,wt=19): 8511 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(8506(a,1),8061(a,1,2,2)),flip(a)]. given #7572 (H,wt=19): 8512 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(8506(a,1),8140(a,1,1,1)),flip(a)]. given #7573 (H,wt=19): 8513 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(8506(a,1),8152(a,1,1,2)),flip(a)]. given #7574 (H,wt=21): 8508 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(8506(a,1),19(a,1)),flip(a)]. given #7575 (H,wt=22): 8336 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(102(a,1),8335(a,1,1)),flip(a)]. given #7576 (H,wt=22): 8342 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(6475,a,8338,a),flip(a)]. given #7577 (H,wt=22): 8366 R(T(x / K(y,z),u),K(w,v5),K(v5,v6)) = T(x * K(z,y),u). [para(8356(a,1),42(a,2,1))]. given #7578 (H,wt=22): 8368 x * K(y,z) != u * K(w,z) | u * (K(w,z) * K(z,y)) = x. [para(8351(a,1),20(a,2)),flip(b)]. given #7579 (H,wt=22): 8466 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7084(a,2),7088(a,1,1))]. given #7580 (H,wt=19): 8518 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6028,a,8466,a)]. given #7581 (H,wt=22): 8483 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(199,a,7141,a(flip),b,7647,a)]. given #7582 (H,wt=16): 8519 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(199,a,8304,a(flip),b,8483,a(flip)),flip(a)]. given #7583 (H,wt=16): 8521 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),8519(a,1,2,2)),flip(a)]. given #7584 (H,wt=16): 8522 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(199,a,8167,a(flip),b,8521,a(flip)),flip(a)]. given #7585 (H,wt=16): 8524 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),8522(a,1,2,2)),flip(a)]. given #7586 (H,wt=17): 8525 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(126(a,1),8522(a,1,2,2)),flip(a)]. given #7587 (H,wt=17): 8529 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(199,a,8072,a,b,8525,a(flip)),flip(a)]. given #7588 (H,wt=20): 8527 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(199,a,7713,a,b,8524,a)]. given #7589 (H,wt=16): 8531 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7781,a,8527,a)]. given #7590 (H,wt=16): 8533 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),8531(a,1,2,2)),flip(a)]. given #7591 (H,wt=16): 8535 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(7877,a,8533,a)]. given #7592 (H,wt=16): 8536 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(63(a,1),8535(a,1,2,2)),flip(a)]. given #7593 (H,wt=16): 8537 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7903,a,8536,a),flip(a)]. given #7594 (H,wt=17): 8534 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(101(a,1),8531(a,1,2,2))]. given #7595 (H,wt=17): 8538 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7739,a,8534,a)]. given #7596 (H,wt=19): 8532 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(8527(a,2),7719(a,1))]. given #7597 (H,wt=21): 8539 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(8538(a,1),7731(a,1,1))]. given #7598 (H,wt=17): 8540 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(7797,a,8539,a),flip(a)]. given #7599 (H,wt=17): 8541 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),8540(a,1,2,2,1)),flip(a)]. given #7600 (H,wt=17): 8542 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7633,a,8541,a),flip(a)]. given #7601 (H,wt=22): 8485 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7715(a,1),7984(a,1,1))]. given #7602 (H,wt=22): 8486 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(7732(a,1),7984(a,1,1))]. given #7603 (H,wt=22): 8498 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(199,a,4363,a(flip),b,8033,a)]. given #7604 (H,wt=22): 8499 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5215(a,1),8045(a,1,2))]. given #7605 (H,wt=20): 8544 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7131,a,8499,a)]. given #7606 (H,wt=22): 8500 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(6588(a,1),8054(a,1))]. given #7607 (H,wt=22): 8504 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(8234(a,1),5034(a,1,2))]. given #7608 (H,wt=22): 8507 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(6987(a,1),8273(a,2,2))]. given #7609 (H,wt=22): 8514 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(199,a,5627,a(flip),b,8512,a)]. given #7610 (H,wt=22): 8516 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(7168,a,8336,a)]. given #7611 (H,wt=19): 8546 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(199,a,7245,a(flip),b,8516,a),flip(a)]. given #7612 (H,wt=15): 8547 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(63(a,1),8546(a,1,1,1)),flip(a)]. given #7613 (H,wt=15): 8548 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),8547(a,1,1,2)),flip(a)]. given #7614 (H,wt=16): 8551 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(8548(a,1),8263(a,1))]. given #7615 (H,wt=22): 8543 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(14(a,1),8498(a,1,2,2)),flip(a)]. given #7616 (H,wt=23): 6842 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6836(a,1),4177(a,1,3))]. given #7617 (H,wt=21): 8552 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4953(a,1),6842(a,1,2))]. given #7618 (H,wt=19): 8553 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4953(a,1),8552(a,2,2))]. given #7619 (H,wt=22): 8554 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(8553(a,1),387(a,1,2)),flip(a)]. given #7620 (H,wt=22): 8555 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3935(a,1),8554(a,1,2,1))]. given #7621 (H,wt=22): 8556 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3935(a,1),8555(a,2,2,2))]. given #7622 (H,wt=23): 6920 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(68,a,6910,a(flip),b,906,a),flip(a)]. given #7623 (H,wt=20): 8558 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(6920(a,1),5360(a,1))]. given #7624 (H,wt=23): 6923 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(6910(a,1),1392(a,1,1)),flip(a)]. given #7625 (H,wt=23): 6959 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(170(a,1),6883(a,1,1,2))]. given #7626 (H,wt=21): 8560 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(199,a,5486,a(flip),b,6959,a)]. given #7627 (H,wt=23): 6969 T(x * (y / x),z) * K(x,u) = x * ((T(y,z) / x) * K(x,u)). [para(4377(a,1),6965(a,1,2,1)),flip(a)]. given #7628 (H,wt=21): 8562 T(x * (y / x),z) * K(x,u) = x * (T(y,z) / T(x,u)). [para(6235(a,1),6969(a,2,2))]. given #7629 (H,wt=23): 7014 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(6999(a,1),5413(a,1,2,1,2)),flip(a)]. given #7630 (H,wt=16): 8563 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(199,a,5413,a(flip),b,7014,a)]. given #7631 (H,wt=19): 8564 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(407(a,1),8563(a,1,1)),flip(a)]. given #7632 (H,wt=23): 7121 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7084(a,2),5629(a,2,2))]. given #7633 (H,wt=23): 7166 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(7162(a,1),5840(a,1,1,1)),flip(a)]. given #7634 (H,wt=23): 7175 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(199,a,5509,a,b,7141,a(flip)),flip(a)]. given #7635 (H,wt=23): 7200 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7141(a,1),6508(a,1,2)),flip(a)]. given #7636 (H,wt=23): 7228 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7215(a,1),92(a,1,2))]. given #7637 (H,wt=14): 8570 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(4454,a,7228,a)]. given #7638 (H,wt=23): 7229 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7221(a,1),422(a,1,1))]. given #7639 (H,wt=23): 7236 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1191(a,1),7080(a,1,2,2))]. given #7640 (H,wt=23): 7257 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3117(a,1),7105(a,1,2,2))]. given #7641 (H,wt=21): 8573 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(199,a,6283,a(flip),b,7257,a(flip))]. given #7642 (H,wt=23): 7285 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7270(a,1),164(a,1,2,1))]. given #7643 (H,wt=23): 7286 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7270(a,1),3939(a,1,2,1))]. given #7644 (H,wt=23): 7316 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(7146(a,1),6457(a,1,1,2))]. given #7645 (H,wt=23): 7324 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(7169(a,1),5959(a,1,2)),flip(a)]. given #7646 (H,wt=21): 8575 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(7169(a,1),7324(a,1,1)),flip(a)]. given #7647 (H,wt=20): 8576 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(8575(a,1),521(a,1))]. given #7648 (H,wt=17): 8577 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(8576,a,5699,a),flip(a)]. given #7649 (H,wt=17): 8578 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(4791(a,1),8577(a,1,2))]. given #7650 (H,wt=21): 8579 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5444(a,1),8578(a,2,2))]. given #7651 (H,wt=23): 7335 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3932(a,1),7181(a,1,1))]. given #7652 (H,wt=21): 8580 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(7384,a,7335,a)]. given #7653 (H,wt=23): 7372 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(662(a,1),7030(a,1,2,2))]. given #7654 (H,wt=21): 8582 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(7907,a,7372,a)]. given #7655 (H,wt=19): 8583 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(7331,a,8582,a),flip(a)]. given #7656 (H,wt=23): 7385 K(x,((y * z) * u) / (y * u)) != w | K(T(x,y),R(z,y,u)) = w. [para(684(a,2),7152(a,1,2))]. given #7657 (H,wt=23): 7499 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7151(a,1),1644(a,1,2))]. given #7658 (H,wt=23): 7516 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7265(a,2),5727(a,1,2))]. given #7659 (H,wt=17): 8584 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8250,a,7516,a),flip(a)]. given #7660 (H,wt=17): 8586 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7105(a,1),8584(a,1,2,2))]. given #7661 (H,wt=21): 8587 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8586(a,1),6232(a,1,1,2)),flip(a)]. given #7662 (H,wt=17): 8588 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(199,a,6232,a(flip),b,8587,a)]. given #7663 (H,wt=17): 8590 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(4738(a,1),8588(a,1,1,2,1))]. given #7664 (H,wt=19): 8589 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(199,a,5838,a(flip),b,8588,a(flip)),flip(a)]. given #7665 (H,wt=17): 8592 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(199,a,5836,a(flip),b,8589,a)]. given #7666 (H,wt=17): 8593 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4680(a,1),8592(a,1,2))]. given #7667 (H,wt=22): 8594 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8593(a,1),5811(a,1,1))]. given #7668 (H,wt=23): 7621 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(744(a,2),7421(a,1,1))]. given #7669 (H,wt=23): 7636 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(199,a,4691,a(flip),b,6957,a)]. given #7670 (H,wt=19): 8596 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(4832(a,1),7636(a,1,2,2))]. given #7671 (H,wt=23): 7688 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,y \ (x \ y)). [hyper(199,a,5201,a,b,7513,a),flip(a)]. given #7672 (H,wt=15): 8598 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(6181,a,7688,a)]. given #7673 (H,wt=15): 8599 K(x,y / (y * z)) = K(x,y \ (z \ y)). [hyper(6209,a,8598,a)]. given #7674 (H,wt=23): 7695 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(3879(a,1),7550(a,1,1,2)),flip(a)]. given #7675 (H,wt=23): 7696 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(3875(a,1),7550(a,1,1,2)),flip(a)]. given #7676 (H,wt=23): 7697 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7557(a,1),6600(a,2,2))]. given #7677 (H,wt=17): 8603 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(8173,a,7697,a)]. given #7678 (H,wt=21): 8604 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8603(a,1),6232(a,1,1,2)),flip(a)]. given #7679 (H,wt=17): 8605 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(199,a,6232,a(flip),b,8604,a)]. given #7680 (H,wt=17): 8606 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),8605(a,1,1,1)),flip(a)]. given #7681 (H,wt=21): 8608 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(8606(a,1),4780(a,2,2,2)),flip(a)]. given #7682 (H,wt=17): 8609 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(4781,a,8608,a),flip(a)]. given #7683 (H,wt=17): 8610 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(199,a,8035,a,b,8609,a(flip)),flip(a)]. given #7684 (H,wt=22): 8607 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(6685,a,8606,a)]. given #7685 (H,wt=17): 8612 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(199,a,6368,a(flip),b,8607,a(flip)),flip(a)]. given #7686 (H,wt=22): 8611 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(199,a,6728,a,b,8610,a(flip)),flip(a)]. given #7687 (H,wt=23): 7757 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7717(a,1),6443(a,1,2))]. given #7688 (H,wt=23): 7783 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(6518(a,1),7713(a,1,2,2))]. given #7689 (H,wt=23): 7804 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(7671(a,2),7105(a,2,1)),flip(a)]. given #7690 (H,wt=23): 7860 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(68,a,7849,a(flip),b,5387,a(flip))]. given #7691 (H,wt=23): 7872 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(5610(a,1),7859(a,1,2)),flip(a)]. given #7692 (H,wt=23): 8011 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8010(a,1),5302(a,1,2,1))]. given #7693 (H,wt=23): 8012 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(6943(a,1),6562(a,1,3,2))]. given #7694 (H,wt=23): 8052 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,7444,a)]. given #7695 (H,wt=23): 8055 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7473(a,1),5044(a,1,2))]. given #7696 (H,wt=23): 8092 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6142(a,1),7664(a,1,1)),flip(a)]. given #7697 (H,wt=23): 8111 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4041(a,1),7789(a,1,2,2,2))]. given #7698 (H,wt=19): 8616 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(7972,a,8111,a),flip(a)]. given #7699 (H,wt=23): 8114 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5340(a,1),7861(a,2,2))]. given #7700 (H,wt=21): 8618 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(199,a,7840,a(flip),b,8114,a)]. given #7701 (H,wt=17): 8619 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(63(a,1),8618(a,1,2,2,1,2))]. given #7702 (H,wt=17): 8620 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(199,a,5215,a(flip),b,8619,a(flip)),flip(a)]. given #7703 (H,wt=23): 8153 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5247(a,1),8146(a,1,1,2))]. given #7704 (H,wt=23): 8185 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8184(a,1),7908(a,1,2))]. given #7705 (H,wt=23): 8192 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8171(a,1),6232(a,1,1,2))]. given #7706 (H,wt=22): 8622 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(8192(a,1),6245(a,1))]. given #7707 (H,wt=19): 8623 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(8622,a,8512,a),flip(a)]. given #7708 (H,wt=21): 8625 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(62(a,1),8623(a,1,1,1)),flip(a)]. given #7709 (H,wt=22): 8624 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(8512(a,1),8622(a,1))]. given #7710 (H,wt=23): 8195 K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). [para(6188(a,1),8175(a,1,2,2,1))]. given #7711 (H,wt=23): 8297 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(3900(a,1),7342(a,1,2,1))]. given #7712 (H,wt=21): 8628 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8435(a,1),8297(a,2,2))]. given #7713 (H,wt=21): 8629 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(199,a,7342,a,b,8628,a),flip(a)]. given #7714 (H,wt=19): 8630 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(199,a,5611,a(flip),b,8629,a(flip))]. given #7715 (H,wt=19): 8631 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(3909(a,1),8630(a,1,2,1))]. given #7716 (H,wt=23): 8333 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5238(a,1),8331(a,1,2))]. given #7717 (H,wt=21): 8633 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(7895,a,8333,a)]. given #7718 (H,wt=21): 8634 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(107(a,1),8333(a,2,2,2))]. given #7719 (H,wt=19): 8635 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(199,a,7892,a(flip),b,8634,a(flip)),flip(a)]. given #7720 (H,wt=17): 8636 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(199,a,8633,a(flip),b,8635,a(flip)),flip(a)]. given #7721 (H,wt=17): 8637 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(8332,a,8636,a)]. given #7722 (H,wt=17): 8638 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(60(a,1),8637(a,1,2,1,2)),flip(a)]. given #7723 (H,wt=17): 8639 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(199,a,5539,a(flip),b,8638,a(flip))]. given #7724 (H,wt=19): 8640 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(199,a,5488,a,b,8639,a(flip)),flip(a)]. given #7725 (H,wt=23): 8396 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(16(a,1),7746(a,1,2,1))]. given #7726 (H,wt=23): 8418 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),8049(a,1,1,1,1)),flip(a)]. given #7727 (H,wt=20): 8641 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(199,a,8239,a(flip),b,8418,a(flip))]. given #7728 (H,wt=23): 8429 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4919(a,1),8428(a,2,1))]. given #7729 (H,wt=19): 8642 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4919(a,1),8429(a,1,1,1))]. given #7730 (H,wt=19): 8643 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(5885,a,8642,a),flip(a)]. given #7731 (H,wt=23): 8432 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(8271(a,1),8430(a,1,1))]. given #7732 (H,wt=23): 8436 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(32(a,2),8300(a,1,2,2)),flip(a)]. given #7733 (H,wt=21): 8645 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [hyper(199,a,6823,a(flip),b,8436,a)]. given #7734 (H,wt=17): 8646 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(199,a,6522,a(flip),b,8645,a(flip)),flip(a)]. given #7735 (H,wt=13): 8647 K(x,K(y \ x,y) * z) = K(x,z). [hyper(4942,a,8646,a),flip(a)]. given #7736 (H,wt=15): 8650 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),8647(a,1,2,1,1))]. given #7737 (H,wt=15): 8651 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5106(a,1),8647(a,1,2)),flip(a)]. given #7738 (H,wt=21): 8652 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(8650(a,1),4625(a,1,1,2))]. given #7739 (H,wt=21): 8653 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(8652(a,1),5954(a,1,2)),flip(a)]. given #7740 (H,wt=23): 8448 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8398(a,2),5272(a,1,1))]. given #7741 (H,wt=21): 8654 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(7844(a,1),8448(a,1,1,1)),flip(a)]. given #7742 (H,wt=21): 8655 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8402(a,1),8654(a,2,1))]. given #7743 (H,wt=19): 8656 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(199,a,4660,a,b,8655,a)]. given #7744 (H,wt=17): 8657 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(7888,a,8656,a),flip(a)]. given #7745 (H,wt=17): 8659 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [para(4738(a,1),8657(a,1,2,1))]. given #7746 (H,wt=17): 8660 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(199,a,8657,a(flip),b,8659,a(flip))]. given #7747 (H,wt=20): 8658 T(x,R(K(y,z),u,w)) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(8656(a,1),7888(a,1))]. given #7748 (H,wt=20): 8663 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(8659(a,1),8658(a,1))]. given #7749 (H,wt=23): 8464 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(8463(a,2),5869(a,1,2))]. given #7750 (H,wt=19): 8664 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(215,a,8464,a)]. given #7751 (H,wt=12): 8665 L(K(x,y),z,x \ 1) = K(x,y). [hyper(4498,a,8664,a)]. given #7752 (H,wt=14): 8668 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(199,a,3514,a(flip),b,8665,a(flip)),flip(a)]. given #7753 (H,wt=14): 8669 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(5813,a,8668,a)]. given #7754 (H,wt=14): 8672 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4028(a,2),8669(a,1,1,1))]. given #7755 (H,wt=19): 8667 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(8664(a,1),6232(a,1,1))]. given #7756 (H,wt=12): 8674 L(K(x,y),z,y \ 1) = K(x,y). [hyper(6457,a,8667,a)]. given #7757 (H,wt=16): 8676 L(K(x,y),z,y \ 1) = (x * y) / (y * x). [hyper(199,a,4593,a(flip),b,8674,a)]. given #7758 (H,wt=15): 8680 L(K(x,y),z,y \ 1) != u | K(x,y) = u. [para(8676(a,2),4785(a,1))]. given #7759 (H,wt=15): 8681 K(L(x,y,z \ 1),z) != u | K(x,z) = u. [para(6381(a,1),8680(a,1))]. given #7760 (H,wt=19): 8670 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(8668(a,1),92(a,1,2))]. given #7761 (H,wt=10): 8683 R(x,y,K(x \ 1,z)) = x. [hyper(4509,a,8670,a)]. given #7762 (H,wt=10): 8687 R(x,y,K(z,x \ 1)) = x. [para(4738(a,1),8683(a,1,3))]. given #7763 (H,wt=19): 8673 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(8672(a,1),5585(a,1,1)),flip(a)]. given #7764 (H,wt=10): 8690 L(x,y,K(x \ 1,z)) = x. [hyper(4498,a,8673,a)]. given #7765 (H,wt=12): 8693 L(x \ 1,y,K(x,z)) = x \ 1. [para(3085(a,1),8690(a,1,3))]. given #7766 (H,wt=19): 8684 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(522,a,8670,a)]. given #7767 (H,wt=19): 8689 x \ (y * K(z,x \ 1)) = (x \ y) * K(z,x \ 1). [para(8687(a,1),421(a,1,1))]. given #7768 (H,wt=19): 8695 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(8693(a,1),92(a,1,2))]. given #7769 (H,wt=12): 8702 R(K(x,y),z,x \ 1) = K(x,y). [hyper(4509,a,8695,a)]. given #7770 (H,wt=12): 8706 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(8263,a,8702,a)]. given #7771 (H,wt=14): 8707 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(8706(a,1),4652(a,2,2))]. given #7772 (H,wt=12): 8709 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(199,a,4652,a,b,8707,a)]. given #7773 (H,wt=19): 8704 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(154,a,8695,a,b,5867,a)]. given #7774 (H,wt=20): 8696 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(8693(a,1),776(a,1,1)),flip(a)]. given #7775 (H,wt=21): 8708 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(8706(a,1),5405(a,1,2)),flip(a)]. given #7776 (H,wt=18): 8712 R(x,y,y \ 1) * K(y,x) = (y * x) * (y \ 1). [hyper(4803,a,8708,a),flip(a)]. given #7777 (H,wt=18): 8714 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [para(8712(a,1),5035(a,1,2))]. given #7778 (H,wt=21): 8713 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(199,a,2972,a(flip),b,8708,a)]. given #7779 (H,wt=22): 8715 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(8714(a,1),8056(a,1,2,2)),flip(a)]. given #7780 (H,wt=23): 8481 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6138(a,1),8480(a,1,2)),flip(a)]. given #7781 (H,wt=17): 8717 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(199,a,8480,a(flip),b,8481,a)]. given #7782 (H,wt=17): 8718 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(14(a,1),8717(a,1,2,1,1)),flip(a)]. given #7783 (H,wt=21): 8719 T(T(x,y \ z),K(u,y \ z)) = T(x,T((z \ y) \ 1,u)). [hyper(199,a,6877,a,b,8718,a),flip(a)]. given #7784 (H,wt=20): 8721 T(x,T((y \ z) \ 1,u)) != w | T(x,T(z \ y,u)) = w. [para(8719(a,1),6898(a,1))]. given #7785 (H,wt=23): 8526 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(7233,a,8524,a),flip(a)]. given #7786 (H,wt=23): 8530 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(107(a,1),8529(a,1,2)),flip(a)]. given #7787 (H,wt=23): 8550 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(6808(a,1),8548(a,1,1))]. given #7788 (H,wt=23): 8559 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(199,a,365,a(flip),b,6923,a)]. given #7789 (H,wt=23): 8561 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(68,a,8560,a(flip),b,4626,a)]. given #7790 (H,wt=21): 8723 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(199,a,8573,a(flip),b,8561,a)]. given #7791 (H,wt=23): 8565 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(199,a,5179,a(flip),b,8564,a(flip))]. given #7792 (H,wt=23): 8567 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(199,a,7141,a(flip),b,7175,a)]. given #7793 (H,wt=23): 8569 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7141(a,1),7200(a,1,1,2))]. given #7794 (H,wt=23): 8571 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(8570(a,1),671(a,1,1)),flip(a)]. given #7795 (H,wt=23): 8574 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6196,a,7285,a)]. given #7796 (H,wt=23): 8601 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(8598(a,1),7263(a,1,1,2))]. given #7797 (H,wt=19): 8728 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(7514,a,8601,a),flip(a)]. given #7798 (H,wt=23): 8613 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1195(a,1),8612(a,1,1))]. given #7799 (H,wt=23): 8617 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(7630,a,8616,a),flip(a)]. given #7800 (H,wt=21): 8729 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(199,a,8404,a(flip),b,8617,a(flip)),flip(a)]. given #7801 (H,wt=23): 8621 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7084(a,2),8185(a,1,2))]. given #7802 (H,wt=23): 8626 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(8623(a,1),4780(a,2,2,2)),flip(a)]. given #7803 (H,wt=19): 8731 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4781,a,8626,a),flip(a)]. given #7804 (H,wt=19): 8732 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(199,a,8510,a,b,8731,a(flip)),flip(a)]. given #7805 (H,wt=23): 8678 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(199,a,6371,a(flip),b,8674,a(flip)),flip(a)]. given #7806 (H,wt=21): 8734 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(199,a,8612,a(flip),b,8678,a(flip)),flip(a)]. given #7807 (H,wt=23): 8703 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(216,a,8695,a)]. given #7808 (H,wt=23): 8722 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(13(a,1),8559(a,1,2,2,1,2))]. given #7809 (H,wt=23): 8726 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(199,a,5008,a(flip),b,8571,a)]. given #7810 (H,wt=24): 6867 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(6862(a,1),5505(a,1,2))]. given #7811 (H,wt=24): 7090 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(199,a,5743,a,b,7084,a),flip(a)]. given #7812 (H,wt=24): 7112 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7084(a,2),599(a,1,1))]. given #7813 (H,wt=24): 7113 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7084(a,2),813(a,1,1,1))]. given #7814 (H,wt=24): 7207 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(915(a,1),7143(a,1,2))]. given #7815 (H,wt=15): 8739 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7207(a,1),7780(a,1,2))]. given #7816 (H,wt=24): 7274 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7268(a,1),5415(a,1,1,1,2)),flip(a)]. given #7817 (H,wt=17): 8740 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(199,a,5415,a(flip),b,7274,a)]. given #7818 (H,wt=17): 8741 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(4738(a,1),8740(a,1,2,2))]. given #7819 (H,wt=24): 7303 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(746(a,1),7139(a,1,2))]. given #7820 (H,wt=23): 8743 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(7303(a,1),7007(a,1,2))]. given #7821 (H,wt=21): 8744 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [hyper(199,a,8395,a(flip),b,8743,a(flip)),flip(a)]. given #7822 (H,wt=19): 8745 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(170(a,1),8744(a,1,2,2))]. given #7823 (H,wt=24): 7307 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(655(a,1),7142(a,1,1,1)),flip(a)]. given #7824 (H,wt=24): 7334 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7180(a,1),6264(a,1,2))]. given #7825 (H,wt=24): 7339 L(K(x,T(y \ z,u)),y \ z,w) = K((u * x) / u,(z \ y) \ 1). [para(7182(a,1),6031(a,1,1))]. given #7826 (H,wt=22): 8747 L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). [hyper(199,a,7182,a(flip),b,7339,a)]. given #7827 (H,wt=17): 8748 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(8680,a,8747,a),flip(a)]. given #7828 (H,wt=17): 8750 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(5190,a,8748,a)]. given #7829 (H,wt=18): 8752 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(8750(a,2),7233(a,1))]. given #7830 (H,wt=18): 8753 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(13(a,1),8752(a,1,2,1,2))]. given #7831 (H,wt=20): 8749 K(x,T((y \ z) \ 1,u)) != w | K(x,T(z \ y,u)) = w. [para(8747(a,1),3860(a,1)),flip(b)]. given #7832 (H,wt=24): 7423 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(6289(a,1),7382(a,1,1))]. given #7833 (H,wt=24): 7440 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(6991(a,1),6396(a,1,1))]. given #7834 (H,wt=24): 7450 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7023(a,1),145(a,2,1)),flip(a)]. given #7835 (H,wt=17): 8756 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(199,a,8696,a(flip),b,7450,a(flip))]. given #7836 (H,wt=17): 8758 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7106(a,1),8756(a,1,3))]. given #7837 (H,wt=15): 8759 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6467,a,8758,a)]. given #7838 (H,wt=22): 8760 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(8759(a,1),2188(a,1,1,2))]. given #7839 (H,wt=19): 8762 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(199,a,6750,a(flip),b,8760,a(flip))]. given #7840 (H,wt=21): 8765 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(8762(a,1),1663(a,1,1))]. given #7841 (H,wt=24): 7517 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(7265(a,1),6256(a,1,1)),flip(b)]. given #7842 (H,wt=24): 7547 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7543(a,1),4653(a,1,2,1))]. given #7843 (H,wt=19): 8766 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(4864,a,7547,a),flip(a)]. given #7844 (H,wt=19): 8767 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(199,a,7185,a,b,8766,a(flip)),flip(a)]. given #7845 (H,wt=24): 7587 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7573(a,1),1046(a,1,1))]. given #7846 (H,wt=17): 8769 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(199,a,6012,a(flip),b,7587,a(flip))]. given #7847 (H,wt=24): 7592 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(T(x,y),z,u)) = v5. [para(7186(a,1),7083(a,1))]. given #7848 (H,wt=24): 7602 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7186(a,1),7233(a,1))]. given #7849 (H,wt=24): 7608 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(563(a,2),7381(a,1))]. given #7850 (H,wt=24): 7619 K(T(x,y),(y * K(z,x)) \ u) != w | K(x,u / (y * K(z,x))) = w. [para(7287(a,1),7418(a,1,1))]. given #7851 (H,wt=17): 8772 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(7619,a,8001,a),flip(a)]. given #7852 (H,wt=15): 8773 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(7418,a,8772,a),flip(a)]. given #7853 (H,wt=15): 8774 K(x,y / (z * x)) = K(x,y / (x * z)). [para(85(a,1),8773(a,1,2,2))]. given #7854 (H,wt=15): 8776 K(x,y / (z * K(x,u))) = K(x,y / z). [para(4738(a,1),8773(a,1,2,2,2))]. given #7855 (H,wt=17): 8775 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1224(a,1),8773(a,1,2,2))]. given #7856 (H,wt=17): 8777 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(199,a,6736,a(flip),b,8774,a)]. given #7857 (H,wt=17): 8781 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),8777(a,1,2,2,1)),flip(a)]. given #7858 (H,wt=18): 8779 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(102(a,2),8774(a,2,2)),flip(a)]. given #7859 (H,wt=19): 8778 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(199,a,6662,a(flip),b,8774,a(flip)),flip(a)]. given #7860 (H,wt=19): 8780 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(6504(a,1),8776(a,1,2,2)),flip(a)]. given #7861 (H,wt=19): 8784 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(85(a,1),8780(a,1,2,2,1))]. given #7862 (H,wt=19): 8785 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(221(a,1),8780(a,1,2,2,1))]. given #7863 (H,wt=19): 8786 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7146(a,1),8780(a,1,2,2,1))]. given #7864 (H,wt=19): 8787 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7250(a,1),8780(a,1,2,2,1)),flip(a)]. given #7865 (H,wt=19): 8788 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(199,a,8778,a(flip),b,8784,a(flip))]. given #7866 (H,wt=21): 8783 K(x,(y * z) / (z * x)) != u | K(x,R(x \ y,x,z)) = u. [para(8779(a,1),5554(a,1))]. given #7867 (H,wt=21): 8790 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(8788(a,1),4652(a,2,2)),flip(a)]. given #7868 (H,wt=24): 7635 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(6932(a,1),215(a,1,2))]. given #7869 (H,wt=24): 7637 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(6976(a,1),5963(a,1,2))]. given #7870 (H,wt=18): 8791 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(7637(a,1),597(a,1))]. given #7871 (H,wt=24): 8037 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. [para(8032(a,2),7781(a,1))]. given #7872 (H,wt=17): 8792 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(8037,a,7783,a(flip)),flip(a)]. given #7873 (H,wt=17): 8793 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(199,a,7732,a,b,8792,a)]. given #7874 (H,wt=17): 8795 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7556(a,1),8792(a,1,2)),flip(a)]. given #7875 (H,wt=17): 8796 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7739,a,8793,a)]. given #7876 (H,wt=17): 8798 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(199,a,8583,a,b,8796,a(flip)),flip(a)]. given #7877 (H,wt=17): 8800 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(199,a,7801,a(flip),b,8798,a(flip)),flip(a)]. given #7878 (H,wt=17): 8801 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(7877,a,8800,a)]. given #7879 (H,wt=19): 8803 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(199,a,8420,a,b,8801,a(flip)),flip(a)]. given #7880 (H,wt=19): 8804 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(7766,a,8803,a)]. given #7881 (H,wt=21): 8797 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(105(a,1),8793(a,1,2,2,2))]. given #7882 (H,wt=21): 8802 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(8800(a,1),7713(a,1,2))]. given #7883 (H,wt=17): 8806 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(7719,a,8802,a),flip(a)]. given #7884 (H,wt=17): 8807 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(199,a,7605,a(flip),b,8806,a(flip)),flip(a)]. given #7885 (H,wt=17): 8808 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(13(a,1),8806(a,1,2,2,1)),flip(a)]. given #7886 (H,wt=17): 8809 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(14(a,1),8807(a,1,2,2,2)),flip(a)]. given #7887 (H,wt=21): 8805 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(7141(a,1),8797(a,1,2))]. given #7888 (H,wt=19): 8811 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(7363(a,1),8805(a,1,2)),flip(a)]. given #7889 (H,wt=19): 8812 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [hyper(199,a,7732,a,b,8811,a)]. given #7890 (H,wt=19): 8813 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [hyper(7739,a,8812,a)]. given #7891 (H,wt=17): 8814 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(7172(a,1),8813(a,1,2)),flip(a)]. given #7892 (H,wt=20): 8815 K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. [para(8814(a,2),7739(a,1))]. given #7893 (H,wt=17): 8816 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [hyper(8815,a,8745,a),flip(a)]. given #7894 (H,wt=17): 8817 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(13(a,1),8816(a,1,2,2,2)),flip(a)]. given #7895 (H,wt=22): 8810 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(24(a,2),8808(a,1,2,2)),flip(a)]. given #7896 (H,wt=21): 8818 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(536(a,1),8810(a,1,2,2))]. given #7897 (H,wt=12): 8819 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(7390,a,8818,a),flip(a)]. given #7898 (H,wt=14): 8822 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(8819(a,1),4652(a,2,2))]. given #7899 (H,wt=12): 8823 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(199,a,4652,a,b,8822,a)]. given #7900 (H,wt=17): 8820 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(7388,a,8819,a)]. given #7901 (H,wt=23): 8794 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1494(a,1),8792(a,1,2,2))]. given #7902 (H,wt=23): 8799 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(8796(a,1),7866(a,1,2)),flip(a)]. given #7903 (H,wt=19): 8826 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(199,a,7711,a(flip),b,8799,a)]. given #7904 (H,wt=17): 8827 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(7917,a,8826,a)]. given #7905 (H,wt=17): 8828 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),8827(a,1,2,2)),flip(a)]. given #7906 (H,wt=24): 8155 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [hyper(199,a,6520,a,b,7995,a),flip(a)]. given #7907 (H,wt=22): 8831 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(8155(a,1),6553(a,1))]. given #7908 (H,wt=24): 8182 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5385(a,1),8107(a,1,1))]. given #7909 (H,wt=24): 8186 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(198(a,1),8129(a,1,2,2)),flip(a)]. given #7910 (H,wt=24): 8213 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1203(a,1),7086(a,1,2)),flip(a)]. given #7911 (H,wt=22): 8832 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(199,a,7236,a(flip),b,8213,a)]. given #7912 (H,wt=24): 8238 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8138(a,1),4754(a,1,1)),flip(a)]. given #7913 (H,wt=24): 8242 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(6980(a,1),6245(a,1,1))]. given #7914 (H,wt=24): 8279 L(K(x,y),z * T(y,u),w) != v5 | K(x,L(y,z * K(y,u),w)) = v5. [para(5939(a,1),8278(a,1,2))]. given #7915 (H,wt=24): 8415 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(7910(a,2),7132(a,1))]. given #7916 (H,wt=24): 8457 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(8434(a,1),5020(a,1,2))]. given #7917 (H,wt=24): 8465 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(60(a,1),7072(a,1,2,1,1))]. given #7918 (H,wt=22): 8833 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(199,a,8257,a(flip),b,8465,a(flip))]. given #7919 (H,wt=24): 8467 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7105(a,1),7111(a,1,1,2)),flip(a)]. given #7920 (H,wt=24): 8496 K(a(K(x,y),z,u),w) * x != v5 | x * K(a(K(x,y),z,u),w) = v5. [para(7760(a,1),8492(a,1))]. given #7921 (H,wt=24): 8566 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7121(a,2),7937(a,1))]. given #7922 (H,wt=24): 8572 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7229(a,2),6158(a,1))]. given #7923 (H,wt=24): 8661 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(551(a,1),8660(a,1,2,2)),flip(a)]. given #7924 (H,wt=24): 8682 K(((x \ 1) * y) \ z,T(x,y)) != u | K(((x \ 1) \ z) / y,x) = u. [para(7336(a,1),8681(a,1))]. given #7925 (H,wt=24): 8730 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(8729(a,1),7132(a,1))]. given #7926 (H,wt=24): 8737 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7084(a,2),7090(a,1,1))]. given #7927 (H,wt=21): 8836 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(4127,a,8737,a),flip(a)]. given #7928 (H,wt=17): 8838 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(199,a,7690,a(flip),b,8836,a(flip))]. given #7929 (H,wt=17): 8839 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(199,a,7432,a,b,8838,a)]. given #7930 (H,wt=17): 8840 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(60(a,1),8838(a,1,2,1,1)),flip(a)]. given #7931 (H,wt=17): 8841 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(60(a,1),8839(a,1,2,1,1)),flip(a)]. given #7932 (H,wt=17): 8842 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(8839(a,1),7104(a,1,1))]. given #7933 (H,wt=17): 8844 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(7932,a,8840,a)]. given #7934 (H,wt=19): 8845 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(199,a,6517,a(flip),b,8841,a(flip))]. given #7935 (H,wt=17): 8848 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(7633,a,8845,a),flip(a)]. given #7936 (H,wt=19): 8846 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(8730,a,8842,a)]. given #7937 (H,wt=20): 8843 T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. [para(8839(a,1),7108(a,1,1))]. given #7938 (H,wt=18): 8851 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(7107(a,1),8843(a,1))]. given #7939 (H,wt=15): 8852 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(8851,a,7518,a),flip(a)]. given #7940 (H,wt=15): 8856 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(199,a,5733,a,b,8852,a),flip(a)]. given #7941 (H,wt=15): 8858 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),8852(a,1,2,2)),flip(a)]. given #7942 (H,wt=15): 8860 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(14(a,1),8856(a,1,2,1)),flip(a)]. given #7943 (H,wt=15): 8861 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(60(a,1),8858(a,1,2,1)),flip(a)]. given #7944 (H,wt=15): 8862 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(7398,a,8860,a)]. given #7945 (H,wt=15): 8864 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(15(a,1),8862(a,1,2,2))]. given #7946 (H,wt=17): 8855 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(199,a,7671,a,b,8852,a),flip(a)]. given #7947 (H,wt=18): 8853 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(7518(a,1),8851(a,1))]. given #7948 (H,wt=19): 8857 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,8852,a)]. given #7949 (H,wt=15): 8866 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5267,a,8857,a)]. given #7950 (H,wt=15): 8867 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(199,a,7521,a,b,8866,a(flip)),flip(a)]. given #7951 (H,wt=20): 8854 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(7532(a,2),8851(a,1))]. given #7952 (H,wt=20): 8868 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(8518(a,2),8854(a,1))]. given #7953 (H,wt=21): 8847 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(60(a,1),8844(a,1,2,1)),flip(a)]. given #7954 (H,wt=19): 8869 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(7122,a,8847,a)]. given #7955 (H,wt=19): 8870 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(199,a,8159,a(flip),b,8869,a(flip)),flip(a)]. given #7956 (H,wt=23): 8863 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(602(a,1),8861(a,1,2,1,2))]. given #7957 (H,wt=23): 8872 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(199,a,8820,a(flip),b,8863,a(flip)),flip(a)]. given #7958 (H,wt=24): 8738 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7084(a,2),7113(a,1,1))]. given #7959 (H,wt=24): 8746 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),7307(a,1,1))]. given #7960 (H,wt=24): 8755 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(199,a,8204,a(flip),b,7440,a)]. given #7961 (H,wt=24): 8834 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(199,a,5853,a,b,8467,a)]. given #7962 (H,wt=24): 8835 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7103(a,1),8467(a,1,1))]. given #7963 (H,wt=24): 8859 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8852(a,1),5714(a,1,1))]. given #7964 (H,wt=24): 8875 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(38(a,1),8834(a,1,1,2))]. given #7965 (H,wt=25): 6841 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(6833(a,1),5225(a,1,1))]. given #7966 (H,wt=21): 8878 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(6833(a,1),6841(a,1,2,2)),flip(a)]. given #7967 (H,wt=19): 8879 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(199,a,5225,a(flip),b,8878,a)]. given #7968 (H,wt=25): 6885 T(x,T(y,z)) \ (T(x,y) * (T(T(x,y),K(y,z)) * u)) = T(x,y) * u. [para(6875(a,1),929(a,1,1))]. given #7969 (H,wt=23): 8882 T(x,T(y,z)) \ (T(x,y) * (T(x,T(y,z)) * u)) = T(x,y) * u. [para(6875(a,1),6885(a,1,2,2,1))]. given #7970 (H,wt=25): 7068 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(6970(a,1),6551(a,1,1))]. given #7971 (H,wt=25): 7082 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7069(a,1),6339(a,1,1,2))]. given #7972 (H,wt=25): 7165 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7162(a,1),432(a,1,1,1)),flip(a)]. given #7973 (H,wt=17): 8883 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(4498,a,7165,a)]. given #7974 (H,wt=16): 8884 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(199,a,8832,a(flip),b,8883,a(flip)),flip(a)]. given #7975 (H,wt=16): 8886 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),8884(a,1,2,2)),flip(a)]. given #7976 (H,wt=17): 8887 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(7428(a,1),8884(a,1,2))]. given #7977 (H,wt=17): 8889 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7555(a,1),8887(a,1,2))]. given #7978 (H,wt=17): 8890 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(7632,a,8889,a),flip(a)]. given #7979 (H,wt=19): 8888 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),8887(a,1,2,2,2))]. given #7980 (H,wt=17): 8893 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7625,a,8888,a),flip(a)]. given #7981 (H,wt=17): 8894 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),8893(a,1,2,2)),flip(a)]. given #7982 (H,wt=17): 8895 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(199,a,7959,a(flip),b,8894,a(flip)),flip(a)]. given #7983 (H,wt=17): 8896 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(199,a,8217,a(flip),b,8895,a(flip)),flip(a)]. given #7984 (H,wt=19): 8897 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(199,a,8858,a(flip),b,8896,a(flip))]. given #7985 (H,wt=17): 8898 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(7633,a,8897,a),flip(a)]. given #7986 (H,wt=20): 8892 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(8889(a,1),7625(a,1))]. given #7987 (H,wt=22): 8900 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(7505(a,2),8892(a,1))]. given #7988 (H,wt=25): 7239 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(735(a,1),7095(a,1,2)),flip(a)]. given #7989 (H,wt=24): 8901 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(199,a,6779,a(flip),b,7239,a(flip))]. given #7990 (H,wt=23): 8903 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(146(a,1),8901(a,1,1,2)),flip(a)]. given #7991 (H,wt=23): 8904 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(199,a,8153,a(flip),b,8903,a)]. given #7992 (H,wt=24): 8902 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(199,a,5496,a(flip),b,8901,a(flip)),flip(a)]. given #7993 (H,wt=25): 7498 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(5600(a,1),7148(a,2,2,1))]. given #7994 (H,wt=25): 7506 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5581,a,7230,a),flip(a)]. given #7995 (H,wt=21): 8906 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6333(a,1),7506(a,1,1))]. given #7996 (H,wt=25): 7525 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(4794(a,1),7297(a,1,2,2)),flip(a)]. given #7997 (H,wt=19): 8907 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(199,a,7654,a(flip),b,7525,a)]. given #7998 (H,wt=15): 8908 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7383,a,8907,a)]. given #7999 (H,wt=25): 7527 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(120(a,1),7523(a,1,2,2)),flip(a)]. given #8000 (H,wt=25): 7613 K(x,T(L(y \ z,y,u),u * y)) != w | K(x,(u * z) / (u * y)) = w. [para(94(a,2),7388(a,1,2,1))]. given #8001 (H,wt=25): 7666 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6411(a,1),7329(a,1,1))]. given #8002 (H,wt=25): 7694 L(x * K(y,z),K(z,y),x * K(y,z)) != u | T(K(y,z) * x,x) = u. [para(6668(a,2),7693(a,1))]. given #8003 (H,wt=25): 7744 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7716(a,2),5437(a,1,1))]. given #8004 (H,wt=23): 8911 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(5749(a,1),7744(a,1,1))]. given #8005 (H,wt=25): 7825 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(83(a,1),7818(a,1,2,2))]. given #8006 (H,wt=25): 7878 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6481(a,1),7854(a,1,2)),flip(a)]. given #8007 (H,wt=25): 8113 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(7305(a,1),7792(a,1,2,2)),flip(a)]. given #8008 (H,wt=25): 8123 (x * y) * K(z,K(u,L(w,y,x))) != v5 | x * (y * K(z,K(u,w))) = v5. [para(8117(a,1),218(a,1,2))]. given #8009 (H,wt=25): 8156 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7995(a,1),5009(a,1,2,2))]. given #8010 (H,wt=22): 8915 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(8156(a,1),5114(a,1))]. given #8011 (H,wt=25): 8180 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1567(a,1),8104(a,1,2)),flip(a)]. given #8012 (H,wt=23): 8916 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(199,a,3962,a(flip),b,8180,a)]. given #8013 (H,wt=25): 8181 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1696(a,1),8104(a,1,2)),flip(a)]. given #8014 (H,wt=25): 8350 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(8348(a,1),397(a,1,2,1))]. given #8015 (H,wt=25): 8379 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(8376(a,1),398(a,1,2,1))]. given #8016 (H,wt=25): 8399 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7733(a,1),7759(a,2,2))]. given #8017 (H,wt=25): 8458 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(68,a,8439,a(flip),b,4016,a),flip(a)]. given #8018 (H,wt=25): 8484 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. [para(7651(a,1),7413(a,1))]. given #8019 (H,wt=19): 8921 K(x,T(y,L(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(8243(a,1),8484(a,1))]. given #8020 (H,wt=17): 8922 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(8921,a,8221,a),flip(a)]. given #8021 (H,wt=17): 8924 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(199,a,8509,a(flip),b,8922,a(flip)),flip(a)]. given #8022 (H,wt=17): 8925 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(16(a,1),8922(a,1,2,2,2)),flip(a)]. given #8023 (H,wt=17): 8926 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),8924(a,1,2,2,2)),flip(a)]. given #8024 (H,wt=25): 8501 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. [para(8118(a,1),7743(a,1))]. given #8025 (H,wt=25): 8505 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(8237(a,1),1915(a,1))]. given #8026 (H,wt=25): 8557 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8556(a,1),3959(a,1,1))]. given #8027 (H,wt=25): 8595 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(8594(a,1),20(a,1)),flip(a)]. given #8028 (H,wt=25): 8615 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4566(a,1),8052(a,2,1)),flip(a)]. given #8029 (H,wt=21): 8928 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4570,a,8615,a),flip(a)]. given #8030 (H,wt=19): 8929 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(7805(a,1),8928(a,1,1,2))]. given #8031 (H,wt=25): 8662 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(8660(a,1),8407(a,2,2))]. given #8032 (H,wt=25): 8710 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(662(a,1),8709(a,1,2))]. given #8033 (H,wt=25): 8711 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),8704(a,2,2))]. given #8034 (H,wt=25): 8716 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(68,a,8713,a,b,5086,a)]. given #8035 (H,wt=23): 8930 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(601(a,1),8716(a,2,2))]. given #8036 (H,wt=20): 8931 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(4801(a,1),8930(a,1,2)),flip(a)]. given #8037 (H,wt=24): 8932 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(8931(a,1),7999(a,1,2,1))]. given #8038 (H,wt=24): 8933 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(6996,a,8932,a)]. given #8039 (H,wt=25): 8768 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(8767(a,1),6217(a,1,1,2)),flip(a)]. given #8040 (H,wt=19): 8934 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(199,a,7158,a(flip),b,8768,a)]. given #8041 (H,wt=19): 8935 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),8934(a,2,2))]. given #8042 (H,wt=19): 8936 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(3953(a,2),8935(a,1,2,1)),flip(a)]. given #8043 (H,wt=25): 8771 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(6415(a,1),8769(a,1,2,1,1))]. given #8044 (H,wt=19): 8937 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(199,a,8769,a(flip),b,8771,a(flip))]. given #8045 (H,wt=25): 8782 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4088(a,1),8777(a,1,2,2,1))]. given #8046 (H,wt=23): 8938 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(199,a,8781,a(flip),b,8782,a)]. given #8047 (H,wt=20): 8939 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(8783,a,8938,a)]. given #8048 (H,wt=22): 8940 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(63(a,1),8939(a,2,2,2,1))]. given #8049 (H,wt=25): 8914 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(7716(a,1),8113(a,2,2))]. given #8050 (H,wt=23): 8942 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(8817(a,1),8914(a,2,2))]. given #8051 (H,wt=19): 8943 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [hyper(199,a,7713,a(flip),b,8942,a)]. given #8052 (H,wt=24): 8941 K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. [para(8914(a,2),7719(a,1))]. given #8053 (H,wt=17): 8944 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [hyper(8941,a,8943,a)]. given #8054 (H,wt=17): 8945 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(14(a,1),8944(a,1,2,2,2)),flip(a)]. given #8055 (H,wt=19): 8946 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(8945(a,1),4652(a,2,2))]. given #8056 (H,wt=17): 8947 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(199,a,4652,a,b,8946,a)]. given #8057 (H,wt=23): 8948 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(199,a,8710,a(flip),b,8947,a(flip))]. given #8058 (H,wt=21): 8949 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(58(a,1),8948(a,1,2,2))]. given #8059 (H,wt=19): 8950 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(107(a,1),8949(a,1,2)),flip(a)]. given #8060 (H,wt=25): 8919 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(6215(a,1),8379(a,1,1)),flip(a)]. given #8061 (H,wt=25): 8920 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7716(a,1),8399(a,1,1,1))]. given #8062 (H,wt=23): 8952 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8410(a,1),8920(a,1,1))]. given #8063 (H,wt=23): 8953 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7716(a,1),8952(a,2,1))]. given #8064 (H,wt=23): 8954 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7732(a,1),8953(a,2,2))]. given #8065 (H,wt=26): 7187 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(196(a,2),7141(a,1,1))]. given #8066 (H,wt=26): 7565 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7464(a,1),4900(a,1,2,2))]. given #8067 (H,wt=22): 8956 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(6808(a,1),7565(a,1,1))]. given #8068 (H,wt=18): 8958 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(6836(a,1),8956(a,1,2)),flip(a)]. given #8069 (H,wt=13): 8959 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(199,a,4900,a(flip),b,8958,a)]. given #8070 (H,wt=15): 8961 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(4961(a,1),8959(a,1,2))]. given #8071 (H,wt=15): 8962 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(199,a,8473,a,b,8961,a(flip)),flip(a)]. given #8072 (H,wt=16): 8963 x / L(y,T(y,z) \ x,y) = T(y,x) \ x. [para(8961(a,2),6955(a,1,2))]. given #8073 (H,wt=24): 8965 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(199,a,6631,a,b,8962,a(flip)),flip(a)]. given #8074 (H,wt=21): 8967 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(8965(a,1),6293(a,1,1)),flip(a)]. given #8075 (H,wt=21): 8968 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7146(a,1),8967(a,1,2,2))]. given #8076 (H,wt=21): 8970 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(199,a,40,a,b,8968,a)]. given #8077 (H,wt=19): 8971 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(4953(a,1),8970(a,1,2))]. given #8078 (H,wt=21): 8972 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8044(a,2),8971(a,1,2))]. given #8079 (H,wt=19): 8973 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(199,a,7583,a(flip),b,8972,a(flip)),flip(a)]. given #8080 (H,wt=26): 7609 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(1191(a,1),7381(a,1,2,2))]. given #8081 (H,wt=25): 8974 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(8213(a,2),7609(a,1))]. given #8082 (H,wt=26): 7704 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(7701(a,1),4608(a,1,1,1)),flip(a)]. given #8083 (H,wt=21): 8975 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(199,a,4608,a(flip),b,7704,a)]. given #8084 (H,wt=21): 8976 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),8975(a,1,1,2,1))]. given #8085 (H,wt=26): 7705 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(7703(a,1),4653(a,1,2,1))]. given #8086 (H,wt=24): 8977 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(7705(a,1),4864(a,1))]. given #8087 (H,wt=26): 8029 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8026(a,1),4608(a,1,1,1))]. given #8088 (H,wt=21): 8978 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(4858,a,8029,a),flip(a)]. given #8089 (H,wt=24): 8979 K((x / y) \ z,L(y,u,w)) != v5 | K(x \ (z * y),L(y,u,w)) = v5. [para(8029(a,1),4858(a,1))]. given #8090 (H,wt=26): 8218 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(3984(a,2),8216(a,1,2,1)),flip(a)]. given #8091 (H,wt=26): 8363 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(8360(a,1),461(a,1,1))]. given #8092 (H,wt=21): 8980 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(6249,a,8363,a)]. given #8093 (H,wt=21): 8981 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(199,a,1918,a(flip),b,8980,a)]. given #8094 (H,wt=21): 8982 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6215(a,1),8981(a,1,2)),flip(a)]. given #8095 (H,wt=10): 8984 T(x,a(y,z,K(x,u))) = x. [para(8982(a,1),6835(a,1,2))]. given #8096 (H,wt=17): 8983 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6473(a,1),8982(a,1,2))]. given #8097 (H,wt=17): 8986 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(6451,a,8983,a)]. given #8098 (H,wt=17): 8987 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5142,a,8983,a)]. given #8099 (H,wt=17): 8988 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5037,a,8983,a)]. given #8100 (H,wt=17): 8989 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1920,a,8983,a)]. given #8101 (H,wt=17): 8997 K(x,y) * a(z,u,K(x,y)) = L(K(x,y),u,z). [para(4738(a,1),8988(a,1,2,3))]. given #8102 (H,wt=17): 8998 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(5775,a,8989,a)]. given #8103 (H,wt=19): 8993 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6381(a,1),8983(a,1,2))]. given #8104 (H,wt=19): 8999 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6387(a,1),8989(a,1,1))]. given #8105 (H,wt=20): 8990 a(x,y,K(z,u)) != w | K(u,z) \ L(K(u,z),y,x) = w. [para(8983(a,1),5142(a,1))]. given #8106 (H,wt=20): 8996 a(x,y,K(z,u)) != w | K(z,u) * L(K(u,z),y,x) = w. [para(8987(a,1),5030(a,1))]. given #8107 (H,wt=20): 9000 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(8998(a,1),20(a,1)),flip(a)]. given #8108 (H,wt=21): 8985 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(8984(a,1),7105(a,1,2,2)),flip(a)]. given #8109 (H,wt=21): 8991 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(8983(a,1),5079(a,2,2))]. given #8110 (H,wt=21): 8994 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(8983(a,1),6644(a,1,1)),flip(a)]. given #8111 (H,wt=21): 8995 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(8983(a,1),8919(a,1,2))]. given #8112 (H,wt=21): 9003 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(5772(a,1),8994(a,1,2)),flip(a)]. given #8113 (H,wt=21): 9004 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(68,a,5014,a(flip),b,9003,a),flip(a)]. given #8114 (H,wt=23): 8992 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5570(a,1),8983(a,1,2))]. given #8115 (H,wt=26): 8372 K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. [para(8355(a,1),155(a,2))]. given #8116 (H,wt=26): 8381 (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. [para(8380(a,1),218(a,1,2))]. given #8117 (H,wt=26): 8502 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(199,a,8228,a(flip),b,8126,a(flip)),flip(a)]. given #8118 (H,wt=26): 8503 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8154(a,1),7717(a,1,1)),flip(a)]. given #8119 (H,wt=26): 8528 K(x,T(y \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5. [para(8524(a,1),7233(a,1))]. given #8120 (H,wt=26): 8568 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7175(a,2),7382(a,1))]. given #8121 (H,wt=26): 8705 K(x,y) * (z * (x \ 1)) != (x \ 1) * u | T(K(x,y) * z,x \ 1) = u. [para(8695(a,1),155(a,2)),flip(a)]. given #8122 (H,wt=26): 8720 T(x,T(L(y \ 1,y,z) \ u,w)) = T(x,T((u \ ((z * y) \ z)) \ 1,w)). [para(354(a,1),8718(a,1,2,1,1)),flip(a)]. given #8123 (H,wt=26): 8825 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(8794(a,2),7877(a,1))]. given #8124 (H,wt=26): 8865 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8855(a,2),7253(a,1,1))]. given #8125 (H,wt=19): 9009 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8865,a,7804,a)]. given #8126 (H,wt=21): 9010 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9009(a,1),4652(a,2,2)),flip(a)]. given #8127 (H,wt=22): 9011 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9010(a,1),4655(a,1))]. given #8128 (H,wt=17): 9012 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(9011,a,8034,a)]. given #8129 (H,wt=17): 9013 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(60(a,1),9012(a,1,2,1,1)),flip(a)]. given #8130 (H,wt=26): 8873 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(8738(a,1),5760(a,1,1)),flip(a)]. given #8131 (H,wt=26): 8877 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(8542(a,1),8835(a,1,1,1))]. given #8132 (H,wt=22): 9015 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7104(a,1),8877(a,1,1)),flip(a)]. given #8133 (H,wt=22): 9016 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9015(a,1),16(a,1,1))]. given #8134 (H,wt=26): 8910 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7666(a,1),7330(a,1))]. given #8135 (H,wt=26): 8913 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(8911(a,1),5018(a,1,2))]. given #8136 (H,wt=26): 8927 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(8926(a,1),7388(a,1))]. given #8137 (H,wt=26): 8955 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3587(a,2),7187(a,1,1))]. given #8138 (H,wt=26): 9006 (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. [para(8569(a,2),8381(a,1))]. given #8139 (H,wt=25): 9022 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(9006,a,7082,a)]. given #8140 (H,wt=23): 9023 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(7081(a,1),9022(a,1,2)),flip(a)]. given #8141 (H,wt=21): 9024 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(5913(a,1),9023(a,2,2))]. given #8142 (H,wt=26): 9007 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(199,a,7733,a(flip),b,8503,a)]. given #8143 (H,wt=26): 9014 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7141(a,1),8873(a,1,1))]. given #8144 (H,wt=26): 9025 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7766,a,9007,a)]. given #8145 (H,wt=26): 9026 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7177(a,1),9014(a,1,1))]. given #8146 (H,wt=25): 9027 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(199,a,8738,a(flip),b,9026,a(flip))]. given #8147 (H,wt=25): 9028 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(6507(a,2),9027(a,1,1))]. given #8148 (H,wt=26): 9029 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9028(a,1),4916(a,1))]. given #8149 (H,wt=27): 6953 T((x \ y) \ y,z) \ ((T(x,z) \ y) \ u) = T(x,z) \ ((y / T(x,z)) \ u). [para(6944(a,1),5487(a,1,1))]. given #8150 (H,wt=27): 6961 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5068(a,1),6903(a,1,1,1)),flip(a)]. given #8151 (H,wt=27): 7125 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7084(a,2),6636(a,1,1))]. given #8152 (H,wt=27): 7345 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7218(a,1),460(a,1,1))]. given #8153 (H,wt=27): 7640 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5586(a,1),7024(a,2,2))]. given #8154 (H,wt=23): 9033 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5586(a,1),7640(a,1,1,2))]. given #8155 (H,wt=23): 9034 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9033(a,2),6362(a,1,1))]. given #8156 (H,wt=27): 7685 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(5710(a,1),7683(a,2,1))]. given #8157 (H,wt=23): 9035 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(5706(a,1),7685(a,1,2)),flip(a)]. given #8158 (H,wt=23): 9036 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(199,a,3124,a,b,9035,a)]. given #8159 (H,wt=27): 7978 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(7977(a,1),5466(a,2,1,1))]. given #8160 (H,wt=25): 9037 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(7874,a,7978,a)]. given #8161 (H,wt=23): 9038 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(199,a,7873,a(flip),b,9037,a)]. given #8162 (H,wt=27): 7986 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(6827(a,1),6326(a,1,2,2))]. given #8163 (H,wt=19): 9040 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(6598(a,1),7986(a,1,2)),flip(a)]. given #8164 (H,wt=19): 9041 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(3933(a,2),9040(a,2,2,1))]. given #8165 (H,wt=27): 8040 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7270(a,1),7110(a,1,1,1,2))]. given #8166 (H,wt=27): 8326 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(8325(a,1),4491(a,1,2,2)),flip(a)]. given #8167 (H,wt=25): 9042 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(5828(a,1),8326(a,1,2,2)),flip(a)]. given #8168 (H,wt=27): 8329 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(199,a,7500,a,b,7515,a),flip(a)]. given #8169 (H,wt=27): 8364 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(8362(a,1),798(a,1,1)),flip(a)]. given #8170 (H,wt=23): 9044 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7590(a,1),8364(a,1,2)),flip(a)]. given #8171 (H,wt=27): 8455 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(8405(a,1),6217(a,1,1))]. given #8172 (H,wt=27): 8460 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5450(a,1),8456(a,1,2,1,2,2)),flip(a)]. given #8173 (H,wt=17): 9047 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(199,a,8456,a(flip),b,8460,a)]. given #8174 (H,wt=17): 9048 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(63(a,1),9047(a,1,2,1,1)),flip(a)]. given #8175 (H,wt=27): 8515 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(394(a,1),8513(a,2,1))]. given #8176 (H,wt=24): 9049 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(199,a,7013,a(flip),b,8515,a)]. given #8177 (H,wt=24): 9050 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(8624,a,9049,a)]. given #8178 (H,wt=27): 8581 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(5967(a,2),8580(a,1,2,1))]. given #8179 (H,wt=25): 9052 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(3926(a,1),8581(a,1,1))]. given #8180 (H,wt=23): 9053 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(199,a,8775,a(flip),b,9052,a)]. given #8181 (H,wt=27): 8627 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(199,a,6029,a(flip),b,8625,a)]. given #8182 (H,wt=27): 8736 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4044(a,1),8726(a,1,1))]. given #8183 (H,wt=23): 9055 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(2963(a,1),8736(a,1,1,1))]. given #8184 (H,wt=18): 9056 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5136(a,1),9055(a,1,2,1))]. given #8185 (H,wt=18): 9057 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4041(a,1),9056(a,1,1))]. given #8186 (H,wt=27): 8751 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(199,a,8022,a,b,8748,a(flip)),flip(a)]. given #8187 (H,wt=25): 9058 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(8749,a,8751,a)]. given #8188 (H,wt=27): 8871 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(63(a,1),8870(a,2,2))]. given #8189 (H,wt=27): 8917 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),8916(a,1,1,2,1)),flip(a)]. given #8190 (H,wt=23): 9059 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),8917(a,1,1,2,1)),flip(a)]. given #8191 (H,wt=27): 8918 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(199,a,3961,a(flip),b,8181,a)]. given #8192 (H,wt=23): 9060 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),8918(a,1,1,2,1))]. given #8193 (H,wt=27): 9002 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(8993(a,1),5080(a,2,2))]. given #8194 (H,wt=25): 9061 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7334,a,9002,a)]. given #8195 (H,wt=23): 9062 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(117(a,1),9061(a,1,2,2))]. given #8196 (H,wt=27): 9008 T(x,T(L(y \ 1,y,z) \ u,w)) != v5 | T(x,T(((z * y) \ z) \ u,w)) = v5. [para(8720(a,2),8721(a,1))]. given #8197 (H,wt=27): 9031 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(7084(a,2),7125(a,1,2,1))]. given #8198 (H,wt=27): 9032 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1068(a,1),7345(a,1,2)),flip(a)]. given #8199 (H,wt=27): 9043 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7084(a,2),8329(a,1,2))]. given #8200 (H,wt=27): 9046 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7732(a,1),8455(a,1,1))]. given #8201 (H,wt=25): 9065 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(5604(a,1),9046(a,1,2))]. given #8202 (H,wt=25): 9066 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5030,a,9065,a)]. given #8203 (H,wt=25): 9067 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(7717(a,1),9066(a,1,1))]. given #8204 (H,wt=23): 9068 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(7859(a,1),9067(a,1,1))]. given #8205 (H,wt=19): 9069 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(8486,a,9068,a)]. given #8206 (H,wt=27): 9063 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(199,a,6930,a,b,9032,a(flip)),flip(a)]. given #8207 (H,wt=25): 9070 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(199,a,6929,a(flip),b,9063,a(flip)),flip(a)]. given #8208 (H,wt=27): 9064 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7198,a,9043,a),flip(a)]. given #8209 (H,wt=27): 9071 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(199,a,7166,a(flip),b,9064,a)]. given #8210 (H,wt=27): 9072 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7117(a,2),9071(a,2,2))]. given #8211 (H,wt=21): 9073 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(7517,a,9072,a),flip(a)]. given #8212 (H,wt=25): 9074 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5014(a,1),9073(a,1,2,2))]. given #8213 (H,wt=25): 9075 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(7662(a,1),9074(a,1,2))]. given #8214 (H,wt=28): 6869 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(6828(a,1),5410(a,1,1,1,2))]. given #8215 (H,wt=21): 9076 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(199,a,5410,a(flip),b,6869,a(flip))]. given #8216 (H,wt=28): 7445 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7000(a,1),5410(a,1,1,1,2))]. given #8217 (H,wt=21): 9077 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(199,a,5410,a(flip),b,7445,a(flip))]. given #8218 (H,wt=28): 7542 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7351(a,1),5228(a,1,1,2))]. given #8219 (H,wt=24): 9078 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(8066,a,7542,a)]. given #8220 (H,wt=19): 9080 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(199,a,5228,a(flip),b,9078,a(flip))]. given #8221 (H,wt=25): 9081 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(47(a,1),9080(a,1,2,2))]. given #8222 (H,wt=28): 7561 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7441(a,1),5410(a,1,1,1,2))]. given #8223 (H,wt=21): 9082 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(199,a,5410,a(flip),b,7561,a(flip))]. given #8224 (H,wt=24): 9083 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(94(a,2),9082(a,1,1))]. given #8225 (H,wt=26): 9084 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9082(a,1),8502(a,1,2))]. given #8226 (H,wt=28): 7580 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7552(a,1),5412(a,1,2,1,2)),flip(a)]. given #8227 (H,wt=21): 9085 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(199,a,5412,a(flip),b,7580,a)]. given #8228 (H,wt=17): 9086 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(5014(a,1),9085(a,1,2)),flip(a)]. given #8229 (H,wt=20): 9087 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5594(a,1),9086(a,1,2,1))]. given #8230 (H,wt=28): 7581 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7552(a,1),5413(a,1,2,1,2)),flip(a)]. given #8231 (H,wt=21): 9088 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(199,a,5413,a(flip),b,7581,a)]. given #8232 (H,wt=17): 9089 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4723(a,1),9088(a,1,1)),flip(a)]. given #8233 (H,wt=17): 9090 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5041(a,1),9088(a,1,1)),flip(a)]. given #8234 (H,wt=23): 9091 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [para(9090(a,1),4652(a,2,2)),flip(a)]. given #8235 (H,wt=21): 9092 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6007,a,9091,a),flip(a)]. given #8236 (H,wt=28): 7767 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7732(a,1),4844(a,1,2))]. given #8237 (H,wt=28): 7909 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7800(a,2),5026(a,1,1))]. given #8238 (H,wt=24): 9093 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(6313(a,1),7909(a,1,1,3))]. given #8239 (H,wt=24): 9094 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5008(a,1),9093(a,2,2))]. given #8240 (H,wt=28): 8157 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7995(a,1),6396(a,1,1))]. given #8241 (H,wt=28): 8453 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(5803(a,1),8451(a,1,2)),flip(a)]. given #8242 (H,wt=28): 8824 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(8823(a,1),8068(a,1,1,1))]. given #8243 (H,wt=15): 9096 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7608,a,8824,a)]. given #8244 (H,wt=28): 8830 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(199,a,3085,a,b,8155,a)]. given #8245 (H,wt=27): 9097 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(8830(a,2),3109(a,1))]. given #8246 (H,wt=22): 9098 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(6520(a,1),9097(a,1))]. given #8247 (H,wt=28): 8850 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(199,a,5804,a(flip),b,8846,a)]. given #8248 (H,wt=28): 8876 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(8834(a,1),5771(a,1,1)),flip(a)]. given #8249 (H,wt=28): 8881 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(199,a,5228,a(flip),b,8879,a(flip))]. given #8250 (H,wt=24): 9101 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(6845(a,1),8881(a,1,1,2))]. given #8251 (H,wt=19): 9102 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(199,a,5228,a(flip),b,9101,a(flip))]. given #8252 (H,wt=28): 8912 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(8911(a,1),103(a,1,1,1)),flip(a)]. given #8253 (H,wt=24): 9105 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(199,a,358,a(flip),b,8912,a)]. given #8254 (H,wt=22): 9106 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(199,a,4644,a,b,9105,a)]. given #8255 (H,wt=22): 9108 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(199,a,7732,a,b,9106,a)]. given #8256 (H,wt=28): 9018 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9016(a,1,1,1,1))]. given #8257 (H,wt=24): 9109 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9018(a,2,2,1,1))]. given #8258 (H,wt=24): 9110 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(79,a,9109,a)]. given #8259 (H,wt=26): 9113 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(105(a,2),9110(a,1,2))]. given #8260 (H,wt=27): 9111 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(9109(a,1),262(a,1,1)),flip(b)]. given #8261 (H,wt=28): 9095 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(5289,a,8453,a)]. given #8262 (H,wt=28): 9099 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1494(a,1),8850(a,1,2,1))]. given #8263 (H,wt=23): 9116 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(544(a,1),9099(a,1,2,2))]. given #8264 (H,wt=28): 9100 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(199,a,5008,a(flip),b,8876,a)]. given #8265 (H,wt=28): 9114 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(8653(a,2),9113(a,1,1))]. given #8266 (H,wt=22): 9118 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(9114(a,1),436(a,1))]. given #8267 (H,wt=28): 9117 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7141(a,1),9100(a,1,1,1))]. given #8268 (H,wt=28): 9119 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7141(a,1),9117(a,1,1,1))]. given #8269 (H,wt=27): 9120 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(8875(a,1),9119(a,1,1))]. given #8270 (H,wt=23): 9121 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(4834,a,9120,a)]. given #8271 (H,wt=23): 9122 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(199,a,5853,a(flip),b,9121,a(flip))]. given #8272 (H,wt=23): 9123 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [para(9122(a,2),16(a,1,1))]. given #8273 (H,wt=19): 9127 K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). [para(9123(a,1),8056(a,1,2,2))]. given #8274 (H,wt=19): 9128 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(4738(a,1),9127(a,1,2,2,2,1))]. given #8275 (H,wt=21): 9126 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(1493(a,1),9123(a,1,1,2)),flip(a)]. given #8276 (H,wt=13): 9130 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(5785,a,9126,a)]. given #8277 (H,wt=17): 9133 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(9130(a,1),6362(a,1,1,2)),flip(a)]. given #8278 (H,wt=13): 9134 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(199,a,6232,a(flip),b,9133,a)]. given #8279 (H,wt=21): 9131 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(5014(a,1),9126(a,1,2)),flip(a)]. given #8280 (H,wt=21): 9135 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(199,a,5715,a(flip),b,9134,a(flip)),flip(a)]. given #8281 (H,wt=21): 9136 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5037,a,9131,a),flip(a)]. given #8282 (H,wt=19): 9138 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(68,a,55,a(flip),b,9136,a),flip(a)]. given #8283 (H,wt=25): 9132 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7067(a,1),9126(a,2,2))]. given #8284 (H,wt=23): 9141 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(4961(a,1),9132(a,1,2)),flip(a)]. given #8285 (H,wt=26): 9125 (x * (K(y,z) * u)) / (x * u) != w | K(y,(x * u) / (x * (z \ u))) = w. [para(9123(a,1),262(a,1,1)),flip(b)]. given #8286 (H,wt=26): 9140 R(x,y,z) \ K(x,u) != w * v5 | w \ (K(x,u) * (R(x,y,z) \ 1)) = v5. [para(9138(a,1),492(a,1))]. given #8287 (H,wt=27): 9124 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(9122(a,2),9111(a,1))]. given #8288 (H,wt=24): 9142 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(9124,a,8778,a),flip(a)]. given #8289 (H,wt=20): 9143 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),9142(a,1,2,2,2)),flip(a)]. given #8290 (H,wt=15): 9144 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),9143(a,2,2))]. given #8291 (H,wt=17): 9146 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(9118,a,9144,a)]. given #8292 (H,wt=24): 9147 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(9146(a,1),434(a,1,1))]. given #8293 (H,wt=21): 9148 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(199,a,5890,a(flip),b,9147,a(flip))]. given #8294 (H,wt=17): 9149 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4723(a,1),9148(a,2,1))]. given #8295 (H,wt=15): 9150 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(199,a,8653,a(flip),b,9149,a(flip)),flip(a)]. given #8296 (H,wt=10): 9151 L(x,K(y,z),z * y) = x. [hyper(715,a,9150,a)]. given #8297 (H,wt=15): 9153 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(68,a,14,a(flip),b,9150,a),flip(a)]. given #8298 (H,wt=17): 9152 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(68,a,5948,a(flip),b,9150,a)]. given #8299 (H,wt=16): 9161 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(3986,a,9152,a),flip(a)]. given #8300 (H,wt=15): 9166 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(199,a,5383,a,b,9161,a(flip)),flip(a)]. given #8301 (H,wt=15): 9168 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),9166(a,1,2,2)),flip(a)]. given #8302 (H,wt=13): 9169 x \ R(x,T(y,x),x) = a(x,y,x). [para(150(a,1),9168(a,1,2)),flip(a)]. given #8303 (H,wt=11): 9170 x \ R(x,y,x) = a(x,y,x). [para(4182(a,1),9169(a,1,2))]. given #8304 (H,wt=11): 9177 x * a(x,y,x) = R(x,y,x). [para(9170(a,1),14(a,1,2))]. given #8305 (H,wt=11): 9179 a(x,y,x) * x = R(x,y,x). [para(9170(a,1),3585(a,1,1))]. given #8306 (H,wt=11): 9183 x * a(x,y,x) = L(x,y,x). [hyper(199,a,4028,a(flip),b,9177,a)]. given #8307 (H,wt=14): 9171 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5384,a,9170,a)]. given #8308 (H,wt=14): 9172 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5370,a,9170,a)]. given #8309 (H,wt=14): 9178 x * a(x,y,x) != z | R(x,y,x) = z. [para(9170(a,1),211(a,1,2)),flip(b)]. given #8310 (H,wt=14): 9181 T(x * y,x) / x = y * a(x,y,x). [para(9170(a,1),6210(a,1,2)),flip(a)]. given #8311 (H,wt=14): 9184 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9177(a,1),254(a,1,2)),flip(b)]. given #8312 (H,wt=14): 9185 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(6243,a,9171,a)]. given #8313 (H,wt=14): 9186 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5037,a,9171,a)]. given #8314 (H,wt=14): 9187 a(x,y,x) * (y * x) = T(x * y,x). [para(9171(a,1),6487(a,1,1))]. given #8315 (H,wt=14): 9188 (x * y) * a(y,x,y) = T(y * x,y). [para(9171(a,1),6489(a,1,2))]. given #8316 (H,wt=14): 9190 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6243,a,9172,a)]. given #8317 (H,wt=14): 9200 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(199,a,5337,a,b,9186,a)]. given #8318 (H,wt=14): 9204 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(199,a,5337,a,b,9190,a)]. given #8319 (H,wt=15): 9173 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(199,a,7562,a,b,9170,a(flip)),flip(a)]. given #8320 (H,wt=15): 9175 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(199,a,8476,a(flip),b,9170,a(flip))]. given #8321 (H,wt=13): 9209 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(8791,a,9175,a)]. given #8322 (H,wt=14): 9210 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9209(a,2),9184(a,1))]. given #8323 (H,wt=14): 9211 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(6424(a,2),9210(a,1))]. given #8324 (H,wt=15): 9189 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9171(a,1),8446(a,1,2))]. given #8325 (H,wt=15): 9207 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9173(a,1),3585(a,1,1))]. given #8326 (H,wt=15): 9212 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),9189(a,1,1)),flip(a)]. given #8327 (H,wt=15): 9214 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1470,a,9212,a)]. given #8328 (H,wt=15): 9215 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9212(a,1),63(a,1,1))]. given #8329 (H,wt=11): 9218 a(x,y,x) \ x = L(x,y,x). [hyper(6641,a,9215,a)]. given #8330 (H,wt=15): 9216 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(199,a,7485,a(flip),b,9214,a(flip)),flip(a)]. given #8331 (H,wt=15): 9217 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),9214(a,1,1)),flip(a)]. given #8332 (H,wt=15): 9221 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(199,a,1195,a,b,9216,a(flip)),flip(a)]. given #8333 (H,wt=15): 9224 (x * y) / a(y,z,y) = x * L(y,z,y). [hyper(79,a,9217,a)]. given #8334 (H,wt=15): 9225 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(14(a,1),9221(a,1,2)),flip(a)]. given #8335 (H,wt=15): 9226 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(68,a,358,a(flip),b,9224,a(flip))]. given #8336 (H,wt=16): 9167 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9161(a,1),6232(a,1,1))]. given #8337 (H,wt=16): 9176 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(199,a,5383,a(flip),b,9170,a(flip)),flip(a)]. given #8338 (H,wt=16): 9192 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(14(a,1),9181(a,1,1,1)),flip(a)]. given #8339 (H,wt=16): 9193 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9181(a,1),107(a,1,1))]. given #8340 (H,wt=16): 9199 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(14(a,1),9185(a,1,2,2))]. given #8341 (H,wt=16): 9202 x * a(y,x / y,y) = T(y * (x / y),y). [hyper(268,a,9188,a)]. given #8342 (H,wt=16): 9208 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4059(a,1),9173(a,1,2)),flip(a)]. given #8343 (H,wt=16): 9227 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [hyper(5037,a,9176,a)]. given #8344 (H,wt=17): 9154 x \ (((y \ x) * y) * z) = K(y \ x,y) * z. [hyper(68,a,9150,a(flip),b,82,a(flip))]. given #8345 (H,wt=17): 9157 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(9153(a,1),4626(a,1,2)),flip(a)]. given #8346 (H,wt=17): 9180 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(5755(a,1),9170(a,1,2)),flip(a)]. given #8347 (H,wt=15): 9230 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(199,a,9170,a(flip),b,9180,a)]. given #8348 (H,wt=17): 9191 a(x,y,x) * K(y,x) != z | K(x * y,x) = z. [para(9172(a,1),6256(a,1,1)),flip(b)]. given #8349 (H,wt=17): 9198 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5156(a,2),9184(a,1))]. given #8350 (H,wt=17): 9201 T(x * y,x) != z * (y * x) | a(x,y,x) = z. [para(9187(a,1),20(a,1))]. given #8351 (H,wt=17): 9229 x \ ((y * (x / y)) * z) = K(y \ x,y) * z. [para(193(a,1),9154(a,1,2,1))]. given #8352 (H,wt=17): 9232 x \ ((y * (x / y)) * z) = K(y,y \ x) * z. [para(4738(a,1),9229(a,2,1))]. given #8353 (H,wt=18): 9158 K(x,(x * y) \ z) != u | K(x,(y * x) \ z) = u. [para(9153(a,1),6817(a,1,2))]. given #8354 (H,wt=18): 9159 K((x * y) \ z,y) != u | K((y * x) \ z,y) = u. [para(9153(a,1),7430(a,1,1))]. given #8355 (H,wt=19): 9220 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(199,a,8103,a,b,9216,a(flip)),flip(a)]. given #8356 (H,wt=19): 9228 K(x,y) * a(x,x \ y,x) != z | K(x,x \ y) = z. [para(9176(a,1),5019(a,1,2)),flip(b)]. given #8357 (H,wt=20): 9165 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9152(a,2),1916(a,1))]. given #8358 (H,wt=21): 9182 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(9170(a,1),7153(a,1,2)),flip(a)]. given #8359 (H,wt=21): 9222 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9216(a,1),4669(a,1,2))]. given #8360 (H,wt=18): 9235 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(199,a,9057,a(flip),b,9222,a)]. given #8361 (H,wt=20): 9237 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9217(a,1),9235(a,1,2)),flip(a)]. given #8362 (H,wt=21): 9234 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9220(a,1),4632(a,1,2))]. given #8363 (H,wt=21): 9236 K(x,x * y) * z != K(x,y) * u | u * a(x,y,x) = z. [para(9235(a,1),19(a,1)),flip(a)]. given #8364 (H,wt=22): 9155 (x * y) * (K(y,x) * z) != u * w | u \ ((y * x) * z) = w. [para(9150(a,2),492(a,1))]. given #8365 (H,wt=22): 9174 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(199,a,6549,a,b,9170,a(flip)),flip(a)]. given #8366 (H,wt=22): 9231 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(199,a,9208,a(flip),b,9230,a(flip)),flip(a)]. given #8367 (H,wt=22): 9233 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(9220(a,2),19(a,1))]. given #8368 (H,wt=23): 9223 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(7566(a,1),9216(a,1,2,1))]. given #8369 (H,wt=13): 9238 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(9233,a,9223,a),flip(a)]. given #8370 (H,wt=24): 9194 R(x * a(y,x,y),z,u) * y = y * R(y \ T(y * x,y),z,u). [para(9181(a,1),539(a,1,1,1))]. given #8371 (H,wt=24): 9240 T(x * R(x \ (x * y),z,u),x) = R(y * a(x,y,x),z,u) * x. [hyper(199,a,1695,a,b,9194,a),flip(a)]. given #8372 (H,wt=20): 9241 R(x * a(y,x,y),z,u) * y = T(y * R(x,z,u),y). [para(13(a,1),9240(a,1,1,2,1)),flip(a)]. given #8373 (H,wt=25): 9213 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(6916(a,1),9207(a,1,2)),flip(a)]. given #8374 (H,wt=27): 9195 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9181(a,2),160(a,1,2,2))]. given #8375 (H,wt=27): 9219 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(698(a,1),9215(a,1,2))]. given #8376 (H,wt=23): 9244 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(9238(a,1),9219(a,1,1,2))]. given #8377 (H,wt=27): 9243 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1394(a,1),9195(a,1,2,2))]. given #8378 (H,wt=25): 9246 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(105(a,1),9243(a,1,2)),flip(a)]. given #8379 (H,wt=28): 9242 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9213(a,2),20(a,1))]. given #8380 (H,wt=29): 7607 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(4799(a,2),7378(a,1,1))]. given #8381 (H,wt=29): 7612 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(24(a,2),7388(a,1,2,1))]. given #8382 (H,wt=29): 7663 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(1156(a,1),7310(a,1,2))]. given #8383 (H,wt=25): 9247 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8096(a,1),7663(a,1,1)),flip(a)]. given #8384 (H,wt=23): 9248 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(199,a,7329,a(flip),b,9247,a)]. given #8385 (H,wt=17): 9249 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(1156(a,1),9248(a,1,1)),flip(a)]. given #8386 (H,wt=21): 9250 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(8910,a,9249,a)]. given #8387 (H,wt=29): 7876 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5216(a,1),7836(a,1,1,2))]. given #8388 (H,wt=25): 9251 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(199,a,4364,a(flip),b,7876,a(flip)),flip(a)]. given #8389 (H,wt=19): 9252 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(199,a,7836,a(flip),b,9251,a(flip))]. given #8390 (H,wt=29): 7884 T(x,K(y,x \ z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(7879(a,1),6336(a,1,1))]. given #8391 (H,wt=27): 9253 T(x,K(y,z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(7833(a,1),7884(a,1,1))]. given #8392 (H,wt=25): 9254 T(x,K(y,z)) / (z * T(z \ x,y)) = (x * K(y,(z / x) \ 1)) / x. [para(5318(a,1),9253(a,2,1,2))]. given #8393 (H,wt=23): 9255 T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,T((z / x) \ 1,x)). [hyper(199,a,7101,a(flip),b,9254,a)]. given #8394 (H,wt=21): 9256 T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,(x \ z) \ 1). [hyper(199,a,7252,a(flip),b,9255,a)]. given #8395 (H,wt=29): 7992 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(7990(a,1),5411(a,1,1,1,2)),flip(a)]. given #8396 (H,wt=22): 9257 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(199,a,5411,a(flip),b,7992,a)]. given #8397 (H,wt=25): 9258 K(L(x,y,z),u \ L(K(x,w),v5,v6)) != v7 | K(L(x,y,z),u \ 1) = v7. [para(7992(a,2),6301(a,1))]. given #8398 (H,wt=29): 8071 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4288(a,1),7575(a,1,1))]. given #8399 (H,wt=27): 9259 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(71,a,8071,a),flip(a)]. given #8400 (H,wt=23): 9260 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4285(a,1),9259(a,1,1)),flip(a)]. given #8401 (H,wt=29): 8169 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5454(a,1),8168(a,1,2,1)),flip(a)]. given #8402 (H,wt=27): 9262 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(199,a,8168,a(flip),b,8169,a)]. given #8403 (H,wt=23): 9263 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(60(a,1),9262(a,1,1,2,1,2,1))]. given #8404 (H,wt=21): 9264 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(199,a,8091,a(flip),b,9263,a(flip)),flip(a)]. given #8405 (H,wt=17): 9265 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(7611,a,9264,a)]. given #8406 (H,wt=29): 8206 L(K(x,y \ (x \ (z \ u))),z \ u,z) != w | K(x,(z * (y / (x \ 1))) \ u) = w. [para(8205(a,1),6551(a,1,1))]. given #8407 (H,wt=24): 9266 K(x,(y * z) \ (x \ u)) != w | K(x,(y * (z / (x \ 1))) \ u) = w. [para(8755(a,1),8206(a,1))]. given #8408 (H,wt=29): 8235 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8137(a,1),28(a,2,2,2)),flip(a)]. given #8409 (H,wt=24): 9267 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(199,a,7167,a(flip),b,8235,a)]. given #8410 (H,wt=29): 8408 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(5594(a,1),8406(a,2,2))]. given #8411 (H,wt=25): 9269 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5594(a,1),8408(a,1,1,2))]. given #8412 (H,wt=25): 9270 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4418,a,9269,a)]. given #8413 (H,wt=25): 9271 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(5771(a,1),9270(a,2,1))]. given #8414 (H,wt=25): 9272 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(5776,a,9271,a),flip(a)]. given #8415 (H,wt=29): 8459 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(8439(a,1),7028(a,1,1,2)),flip(a)]. given #8416 (H,wt=27): 9274 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(165(a,1),8459(a,2,1))]. given #8417 (H,wt=23): 9275 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(199,a,8437,a(flip),b,9274,a(flip))]. given #8418 (H,wt=29): 8735 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5606(a,1),8722(a,1,2)),flip(a)]. given #8419 (H,wt=25): 9276 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(199,a,1297,a(flip),b,8735,a(flip)),flip(a)]. given #8420 (H,wt=23): 9277 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(7991(a,2),9276(a,1,1))]. given #8421 (H,wt=19): 9278 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(63(a,1),9277(a,1,1,2,1))]. given #8422 (H,wt=10): 9279 L(x,K(y,z),K(z,u)) = x. [hyper(391,a,9278,a)]. given #8423 (H,wt=10): 9285 L(x,K(y,z),K(y,u)) = x. [para(4738(a,1),9279(a,1,2))]. given #8424 (H,wt=10): 9291 L(x,K(y,z),K(u,y)) = x. [para(4738(a,1),9285(a,1,3))]. given #8425 (H,wt=12): 9287 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7141(a,1),9279(a,1,2))]. given #8426 (H,wt=13): 9286 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5594(a,1),9279(a,1,2))]. given #8427 (H,wt=17): 9289 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(199,a,5553,a(flip),b,9285,a(flip)),flip(a)]. given #8428 (H,wt=17): 9297 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [hyper(199,a,4836,a,b,9289,a)]. given #8429 (H,wt=18): 9283 L(x,K(y,z),K(z,u)) = K(w,v5) * (K(v5,w) * x). [hyper(199,a,5014,a,b,9279,a)]. given #8430 (H,wt=13): 9299 L(x,K(y,z),K(z,u)) != w | w = x. [para(9283(a,2),5019(a,1))]. given #8431 (H,wt=18): 9284 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(199,a,3903,a(flip),b,9279,a)]. given #8432 (H,wt=18): 9300 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(9284(a,1),8314(a,1,2,3))]. given #8433 (H,wt=19): 9282 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(1914(a,1),9278(a,1,1))]. given #8434 (H,wt=19): 9288 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(199,a,5655,a(flip),b,9285,a(flip)),flip(a)]. given #8435 (H,wt=19): 9290 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(9285(a,1),92(a,1,2))]. given #8436 (H,wt=19): 9292 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [hyper(199,a,5655,a(flip),b,9291,a(flip)),flip(a)]. given #8437 (H,wt=18): 9304 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(9172(a,1),9292(a,1,1)),flip(a)]. given #8438 (H,wt=18): 9305 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(5037,a,9304,a)]. given #8439 (H,wt=13): 9307 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(9236,a,9305,a(flip))]. given #8440 (H,wt=11): 9308 T(a(x,y,x),z) = a(x,y,x). [hyper(3882,a,9307,a)]. given #8441 (H,wt=8): 9313 K(x,a(y,z,y)) = 1. [hyper(67,a,9308,a,b,4607,a),flip(a)]. given #8442 (H,wt=13): 9309 x / a(y,z,y) = a(y,z,y) \ x. [hyper(79,a,9307,a)]. given #8443 (H,wt=13): 9310 a(x,y,x) * z = z * a(x,y,x). [para(13(a,1),9307(a,1,1)),flip(a)]. given #8444 (H,wt=13): 9312 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(199,a,9170,a,b,9308,a)]. given #8445 (H,wt=15): 9320 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(9309(a,1),9226(a,1,2))]. given #8446 (H,wt=15): 9321 x / T(a(y,z,y),u) = a(y,z,y) \ x. [para(9308(a,2),9309(a,1,2))]. given #8447 (H,wt=15): 9322 a(x,y,x) * (z / x) = z / L(x,y,x). [hyper(199,a,9189,a(flip),b,9310,a)]. given #8448 (H,wt=15): 9326 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(9170(a,2),9310(a,2,2)),flip(a)]. given #8449 (H,wt=15): 9329 (x / y) * L(y,z,y) = a(y,z,y) \ x. [para(9320(a,1),14(a,1,2))]. given #8450 (H,wt=13): 9331 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(199,a,4543,a(flip),b,9329,a(flip))]. given #8451 (H,wt=16): 9311 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(9307(a,1),262(a,1,1)),flip(b)]. given #8452 (H,wt=16): 9314 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(9308(a,1),215(a,1,2))]. given #8453 (H,wt=16): 9315 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(9308(a,1),217(a,1,1))]. given #8454 (H,wt=16): 9324 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(9310(a,2),19(a,1))]. given #8455 (H,wt=17): 9333 K(x * y,x) != z | K(y,x) * a(x,y,x) = z. [para(9190(a,1),9315(a,1))]. given #8456 (H,wt=18): 9306 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(5255(a,2),9304(a,1,2,1))]. given #8457 (H,wt=18): 9330 a(x,T(x,y) \ z,x) * (z / x) = T(x,z) \ z. [hyper(199,a,8963,a(flip),b,9322,a)]. given #8458 (H,wt=18): 9332 (x / y) \ (a(y,z,y) \ x) != u | L(y,z,y) = u. [para(9329(a,1),254(a,1,2)),flip(b)]. given #8459 (H,wt=19): 9293 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(9291(a,1),92(a,1,2))]. given #8460 (H,wt=12): 9334 R(K(x,y),K(y,z),u) = K(x,y). [hyper(4454,a,9293,a)]. given #8461 (H,wt=12): 9338 R(K(x,y),K(z,y),u) = K(x,y). [para(4738(a,1),9334(a,1,2))]. given #8462 (H,wt=19): 9303 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [para(7713(a,1),9290(a,1,1)),flip(a)]. given #8463 (H,wt=19): 9316 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(9308(a,1),165(a,1,2,1)),flip(a)]. given #8464 (H,wt=11): 9340 T(x,R(a(y,z,y),u,w)) = x. [hyper(188,a,9316,a)]. given #8465 (H,wt=19): 9335 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [hyper(199,a,9282,a(flip),b,9293,a(flip)),flip(a)]. given #8466 (H,wt=19): 9341 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [hyper(199,a,9292,a,b,9335,a),flip(a)]. given #8467 (H,wt=19): 9343 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(5014(a,1),9335(a,1,2)),flip(a)]. given #8468 (H,wt=19): 9344 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5014(a,1),9335(a,2,2))]. given #8469 (H,wt=19): 9347 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(5037,a,9343,a)]. given #8470 (H,wt=19): 9348 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(69,a,9343,a(flip),b,9293,a)]. given #8471 (H,wt=19): 9349 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5037,a,9344,a)]. given #8472 (H,wt=19): 9350 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(69,a,9344,a(flip),b,9282,a)]. given #8473 (H,wt=20): 9317 x * a(y,z,y) != u * w | u \ (a(y,z,y) * x) = w. [para(9308(a,1),494(a,1,2))]. given #8474 (H,wt=20): 9318 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(9308(a,1),554(a,2,1))]. given #8475 (H,wt=20): 9336 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(5461(a,1),9293(a,1,1)),flip(a)]. given #8476 (H,wt=15): 9355 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(199,a,9306,a(flip),b,9336,a(flip))]. given #8477 (H,wt=15): 9356 (x \ L(x,y,x)) \ z = a(x,y,x) * z. [hyper(68,a,13,a(flip),b,9355,a)]. given #8478 (H,wt=15): 9357 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(66,a,9356,a,b,9326,a),flip(a)]. given #8479 (H,wt=21): 9342 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(199,a,4960,a,b,9335,a),flip(a)]. given #8480 (H,wt=19): 9358 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4626(a,1),9342(a,1,2))]. given #8481 (H,wt=23): 9294 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(9287(a,1),92(a,1,2))]. given #8482 (H,wt=23): 9327 T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). [para(7032(a,1),9312(a,2,2))]. given #8483 (H,wt=23): 9346 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7141(a,1),9341(a,1,1,1))]. given #8484 (H,wt=23): 9351 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7716(a,2),9347(a,1,1))]. given #8485 (H,wt=23): 9359 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7716(a,2),9351(a,2,2,1))]. given #8486 (H,wt=23): 9360 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(270,a,9359,a),flip(a)]. given #8487 (H,wt=23): 9361 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7716(a,2),9360(a,1,2,1))]. given #8488 (H,wt=24): 9280 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(9278(a,1),255(a,1,2))]. given #8489 (H,wt=24): 9319 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(9308(a,1),813(a,1,1,1)),flip(a)]. given #8490 (H,wt=20): 9363 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(9308(a,1),9319(a,2,1))]. given #8491 (H,wt=21): 9364 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9181(a,2),9363(a,1,2,1))]. given #8492 (H,wt=19): 9366 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(199,a,9246,a,b,9364,a(flip)),flip(a)]. given #8493 (H,wt=24): 9362 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(9044(a,1),9280(a,1))]. given #8494 (H,wt=25): 9295 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(9286(a,1),92(a,1,2))]. given #8495 (H,wt=25): 9298 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(9289(a,1),6564(a,2,1))]. given #8496 (H,wt=25): 9302 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(199,a,5881,a(flip),b,9288,a(flip))]. given #8497 (H,wt=23): 9369 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(5527(a,1),9302(a,1,2)),flip(a)]. given #8498 (H,wt=23): 9370 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(199,a,5095,a(flip),b,9369,a)]. given #8499 (H,wt=21): 9371 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(7659(a,1),9370(a,2,2))]. given #8500 (H,wt=25): 9352 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5033(a,1),9348(a,1,1))]. given #8501 (H,wt=25): 9354 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(7106(a,1),9350(a,1,1))]. given #8502 (H,wt=23): 9373 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(7106(a,1),9354(a,1,2))]. given #8503 (H,wt=23): 9374 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [hyper(199,a,7150,a(flip),b,9373,a)]. given #8504 (H,wt=27): 9345 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6379(a,1),9335(a,1,2,1)),flip(a)]. given #8505 (H,wt=25): 9375 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6379(a,1),9345(a,1,1))]. given #8506 (H,wt=21): 9376 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. [hyper(199,a,9004,a(flip),b,9375,a(flip))]. given #8507 (H,wt=17): 9377 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(199,a,8994,a(flip),b,9376,a(flip))]. given #8508 (H,wt=17): 9378 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(384,a,9377,a)]. given #8509 (H,wt=17): 9379 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(254,a,9377,a)]. given #8510 (H,wt=20): 9381 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) != v5 | v5 = w. [para(9377(a,1),211(a,1,2))]. given #8511 (H,wt=20): 9382 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(9377(a,1),261(a,1,2)),flip(b)]. given #8512 (H,wt=21): 9380 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(199,a,8985,a,b,9377,a)]. given #8513 (H,wt=24): 9383 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(9380(a,2),19(a,1))]. given #8514 (H,wt=27): 9368 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(4912(a,2),9295(a,1,1,2,1))]. given #8515 (H,wt=28): 9325 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(9310(a,1),663(a,1,1))]. given #8516 (H,wt=29): 9001 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(6376(a,1),8998(a,1,1))]. given #8517 (H,wt=29): 9030 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7226(a,1),6953(a,2,2))]. given #8518 (H,wt=21): 9385 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(199,a,13,a(flip),b,9030,a)]. given #8519 (H,wt=21): 9387 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [para(9385(a,1),14(a,1,2))]. given #8520 (H,wt=21): 9388 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(9387(a,1),6560(a,1,2))]. given #8521 (H,wt=29): 9137 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(7143(a,1),9131(a,1,1))]. given #8522 (H,wt=25): 9389 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7143(a,1),9137(a,1,2,2,1))]. given #8523 (H,wt=29): 9162 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(199,a,8236,a(flip),b,9152,a)]. given #8524 (H,wt=27): 9391 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1690(a,1),9162(a,1,2))]. given #8525 (H,wt=17): 9392 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(597,a,9391,a),flip(a)]. given #8526 (H,wt=17): 9395 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(9392(a,1),14(a,1,2))]. given #8527 (H,wt=19): 9396 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(9392(a,1),4350(a,1,1)),flip(a)]. given #8528 (H,wt=20): 9393 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(9391(a,1),597(a,1))]. given #8529 (H,wt=20): 9394 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(8505,a,9392,a)]. given #8530 (H,wt=20): 9401 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(9394(a,1),6237(a,1,1))]. given #8531 (H,wt=23): 9397 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(9392(a,1),8458(a,1,2)),flip(a)]. given #8532 (H,wt=21): 9405 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5075,a,9397,a)]. given #8533 (H,wt=21): 9407 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(9405(a,1),14(a,1,2))]. given #8534 (H,wt=23): 9400 K(x * R(y,z,u),y) * K(y,x) != w | a(y,x,R(y,z,u)) = w. [para(8236(a,2),9393(a,1))]. given #8535 (H,wt=25): 9404 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(16(a,1),9401(a,1,2,2))]. given #8536 (H,wt=25): 9406 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(199,a,920,a(flip),b,9405,a(flip)),flip(a)]. given #8537 (H,wt=28): 9403 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(9394(a,1),8107(a,1,1)),flip(a)]. given #8538 (H,wt=29): 9163 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(199,a,8234,a(flip),b,9152,a)]. given #8539 (H,wt=29): 9164 (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(40(a,2),9152(a,1,2,2))]. given #8540 (H,wt=29): 9367 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(4625(a,1),9366(a,1,1,2)),flip(a)]. given #8541 (H,wt=23): 9408 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4625(a,1),9367(a,2,2))]. given #8542 (H,wt=29): 9398 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(9081(a,2),9392(a,1,2))]. given #8543 (H,wt=25): 9409 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(9393,a,9398,a)]. given #8544 (H,wt=21): 9410 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(199,a,4516,a(flip),b,9409,a(flip))]. given #8545 (H,wt=17): 9411 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4180,a,9410,a)]. given #8546 (H,wt=29): 9399 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(4179(a,1),9396(a,2,1))]. given #8547 (H,wt=27): 9412 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(9081(a,1),9399(a,1,1))]. given #8548 (H,wt=25): 9413 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(9411(a,1),9412(a,2,1))]. given #8549 (H,wt=23): 9414 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(199,a,9396,a(flip),b,9413,a(flip)),flip(a)]. given #8550 (H,wt=30): 7266 (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(7106(a,1),5038(a,1,1,3)),flip(a)]. given #8551 (H,wt=30): 8177 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8083(a,1),4608(a,1,1,1))]. given #8552 (H,wt=28): 9416 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8177(a,1),4858(a,1))]. given #8553 (H,wt=30): 8225 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8224(a,1),5562(a,1,1))]. given #8554 (H,wt=30): 8258 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3587(a,1),8255(a,2,2))]. given #8555 (H,wt=30): 8371 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(154,a,8355,a,b,526,a)]. given #8556 (H,wt=23): 9418 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(9279(a,1),8371(a,1,1,1)),flip(a)]. given #8557 (H,wt=23): 9419 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(1914(a,1),9418(a,1,2,2))]. given #8558 (H,wt=29): 9420 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(9419(a,1),6272(a,1,1))]. given #8559 (H,wt=25): 9421 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6318(a,1),9420(a,1,1,1)),flip(a)]. given #8560 (H,wt=30): 8433 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(416(a,1),8277(a,1,2,2)),flip(a)]. given #8561 (H,wt=30): 8733 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(8732(a,1),4608(a,1,1,1))]. given #8562 (H,wt=28): 9422 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(8733(a,1),4858(a,1))]. given #8563 (H,wt=30): 8754 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(7423,a,7653,a)]. given #8564 (H,wt=30): 8829 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(8828(a,1),4653(a,1,2,1))]. given #8565 (H,wt=23): 9424 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(4864,a,8829,a),flip(a)]. given #8566 (H,wt=23): 9425 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(199,a,8119,a(flip),b,9424,a)]. given #8567 (H,wt=23): 9426 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8132,a,9425,a)]. given #8568 (H,wt=23): 9427 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9076(a,1),9426(a,1,2))]. given #8569 (H,wt=24): 9428 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(199,a,9084,a(flip),b,9427,a(flip))]. given #8570 (H,wt=21): 9429 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(199,a,8126,a(flip),b,9428,a(flip))]. given #8571 (H,wt=21): 9430 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7739,a,9429,a)]. given #8572 (H,wt=24): 9431 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(199,a,9025,a(flip),b,9430,a(flip)),flip(a)]. given #8573 (H,wt=12): 9432 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(199,a,8739,a(flip),b,9431,a)]. given #8574 (H,wt=10): 9434 K(x,K(y,a(z,x,u))) = 1. [para(47(a,1),9432(a,1,2,2,3))]. given #8575 (H,wt=15): 9436 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(9434(a,1),7725(a,1,2)),flip(a)]. given #8576 (H,wt=13): 9437 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(199,a,12,a(flip),b,9436,a)]. given #8577 (H,wt=17): 9438 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(7816,a,9437,a)]. given #8578 (H,wt=24): 9439 a(x,y \ z,u) * K(y,z) != w | K(y,z) * a(x,y \ z,u) = w. [para(9438(a,1),217(a,1,1))]. given #8579 (H,wt=30): 8899 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(199,a,8294,a(flip),b,8898,a(flip)),flip(a)]. given #8580 (H,wt=26): 9440 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(8899(a,2),7390(a,1))]. given #8581 (H,wt=30): 8905 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(8903(a,2),5181(a,1))]. given #8582 (H,wt=30): 9039 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(445(a,2),9038(a,1,2,2))]. given #8583 (H,wt=30): 9203 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(9188(a,1),810(a,1,1,2))]. given #8584 (H,wt=28): 9441 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(3926(a,1),9203(a,1,1)),flip(a)]. given #8585 (H,wt=30): 9301 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) != w | T(K(z,x) * K(x,y),u) = w. [para(9282(a,1),4655(a,1))]. given #8586 (H,wt=23): 9442 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(9301,a,9075,a),flip(a)]. given #8587 (H,wt=30): 9323 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(68,a,9310,a,b,535,a)]. given #8588 (H,wt=27): 9443 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(9323(a,1),9325(a,1))]. given #8589 (H,wt=30): 9402 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(6859(a,1),9394(a,1,1))]. given #8590 (H,wt=25): 9444 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(6862(a,1),9402(a,1,2)),flip(a)]. given #8591 (H,wt=20): 9445 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(199,a,9394,a(flip),b,9444,a)]. given #8592 (H,wt=17): 9448 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(293(a,1),9445(a,1,2,2))]. given #8593 (H,wt=25): 9447 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(107(a,1),9445(a,1,2)),flip(a)]. given #8594 (H,wt=25): 9449 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(9447(a,1),9404(a,1,1))]. given #8595 (H,wt=25): 9450 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(199,a,6865,a(flip),b,9449,a)]. given #8596 (H,wt=30): 9415 (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(7141(a,1),7266(a,2,1,2))]. given #8597 (H,wt=28): 9451 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8621(a,1),9415(a,2,1))]. given #8598 (H,wt=27): 9452 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(199,a,9094,a(flip),b,9451,a)]. given #8599 (H,wt=27): 9453 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7141(a,1),9452(a,1,1,2))]. given #8600 (H,wt=25): 9454 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7106(a,1),9453(a,1,2))]. given #8601 (H,wt=30): 9417 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(4452(a,1),8225(a,1,1))]. given #8602 (H,wt=30): 9423 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(42(a,2),8754(a,1,1,2))]. given #8603 (H,wt=30): 9456 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8937(a,1),9417(a,1,1))]. given #8604 (H,wt=28): 9458 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(51(a,1),9456(a,1,1,2,1))]. given #8605 (H,wt=28): 9459 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7091(a,1),9458(a,1,2))]. given #8606 (H,wt=24): 9460 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(3085(a,1),9459(a,1,2))]. given #8607 (H,wt=24): 9461 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(199,a,4494,a(flip),b,9460,a)]. given #8608 (H,wt=30): 9457 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(4738(a,1),9423(a,1,2,2))]. given #8609 (H,wt=23): 9462 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7721(a,1),9457(a,1,2))]. given #8610 (H,wt=28): 9463 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(9462(a,1),5228(a,1,1,2))]. given #8611 (H,wt=26): 9465 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5225(a,1),9463(a,1,1))]. given #8612 (H,wt=21): 9466 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(199,a,6629,a(flip),b,9465,a(flip))]. given #8613 (H,wt=31): 7174 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(199,a,6663,a,b,7141,a(flip)),flip(a)]. given #8614 (H,wt=27): 9468 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(199,a,7672,a(flip),b,7174,a)]. given #8615 (H,wt=27): 9469 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7382,a,9468,a)]. given #8616 (H,wt=31): 7638 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(199,a,6169,a,b,7024,a),flip(a)]. given #8617 (H,wt=31): 7926 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(5757(a,1),7905(a,1,1,2))]. given #8618 (H,wt=29): 9471 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(130(a,1),7926(a,1,1))]. given #8619 (H,wt=29): 9473 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6228(a,1),9471(a,1,2))]. given #8620 (H,wt=24): 9474 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6659(a,1),9473(a,1,2)),flip(a)]. given #8621 (H,wt=22): 9475 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(199,a,11,a(flip),b,9474,a)]. given #8622 (H,wt=22): 9476 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5037,a,9475,a)]. given #8623 (H,wt=31): 8293 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(429(a,1),8291(a,1,1))]. given #8624 (H,wt=26): 9479 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(199,a,7943,a(flip),b,8293,a(flip))]. given #8625 (H,wt=21): 9481 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(30(a,2),9479(a,1,1))]. given #8626 (H,wt=21): 9482 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(199,a,7708,a,b,9481,a(flip)),flip(a)]. given #8627 (H,wt=23): 9483 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(199,a,8550,a,b,9482,a(flip)),flip(a)]. given #8628 (H,wt=31): 8307 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(8304(a,1),5119(a,1,1,1)),flip(a)]. given #8629 (H,wt=31): 8600 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(199,a,8062,a(flip),b,8598,a(flip)),flip(a)]. given #8630 (H,wt=31): 8725 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(7350(a,1),8567(a,1,1,1,1,2))]. given #8631 (H,wt=23): 9484 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(8568,a,8725,a),flip(a)]. given #8632 (H,wt=21): 9485 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(199,a,8073,a(flip),b,9484,a(flip))]. given #8633 (H,wt=31): 8789 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(429(a,1),8786(a,1,2))]. given #8634 (H,wt=26): 9487 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(199,a,7947,a(flip),b,8789,a(flip))]. given #8635 (H,wt=21): 9489 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(30(a,2),9487(a,1,2))]. given #8636 (H,wt=21): 9490 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(199,a,7645,a,b,9489,a(flip)),flip(a)]. given #8637 (H,wt=23): 9491 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(9490(a,1),4652(a,2,2)),flip(a)]. given #8638 (H,wt=21): 9492 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4655,a,9491,a),flip(a)]. given #8639 (H,wt=23): 9493 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(4961(a,1),9492(a,1,2,1)),flip(a)]. given #8640 (H,wt=31): 9019 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(8551,a,8955,a)]. given #8641 (H,wt=25): 9494 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(199,a,9096,a(flip),b,9019,a)]. given #8642 (H,wt=8): 9495 K(a(x,y,z),x) = 1. [hyper(5756,a,9494,a),flip(a)]. given #8643 (H,wt=11): 9497 T(a(x,y,z),x) = a(x,y,z). [hyper(37,a,9495,a)]. given #8644 (H,wt=13): 9498 a(x,y,z) * x = x * a(x,y,z). [para(9497(a,1),105(a,1,2)),flip(a)]. given #8645 (H,wt=14): 9499 T(a(x,y,z),x) != u | a(x,y,z) = u. [para(9497(a,1),338(a,1,1)),flip(b)]. given #8646 (H,wt=20): 9500 T(a(1 / x,y,z),x \ 1) != u | a(x \ 1,y,z) = u. [para(3780(a,2),9499(a,1,1))]. given #8647 (H,wt=31): 9054 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(13(a,1),8627(a,2,2))]. given #8648 (H,wt=29): 9501 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(6164,a,9054,a)]. given #8649 (H,wt=25): 9502 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(13(a,1),9501(a,1,2))]. given #8650 (H,wt=25): 9503 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(7348,a,9502,a)]. given #8651 (H,wt=31): 9115 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(9095(a,1),5289(a,1))]. given #8652 (H,wt=31): 9129 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(394(a,1),9128(a,1,2))]. given #8653 (H,wt=26): 9504 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(199,a,7474,a(flip),b,9129,a(flip))]. given #8654 (H,wt=31): 9470 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3582(a,1),7638(a,1,1))]. given #8655 (H,wt=25): 9506 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4665(a,1),9470(a,2,1))]. given #8656 (H,wt=21): 9507 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(9170(a,1),9506(a,1,1))]. given #8657 (H,wt=25): 9508 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(199,a,7641,a,b,9507,a),flip(a)]. given #8658 (H,wt=17): 9509 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9242,a,9508,a)]. given #8659 (H,wt=31): 9477 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(910(a,1),9476(a,1,2,2))]. given #8660 (H,wt=28): 9510 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7484(a,1),9477(a,1,1))]. given #8661 (H,wt=24): 9511 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(4599(a,2),9510(a,1,2))]. given #8662 (H,wt=24): 9513 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(5753(a,1),9511(a,1,1))]. given #8663 (H,wt=20): 9514 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(199,a,7562,a(flip),b,9513,a)]. given #8664 (H,wt=20): 9515 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(1916,a,9514,a)]. given #8665 (H,wt=32): 6888 L(K(T(x,y),K(y,z)) \ u,K(T(x,y),K(y,z)),T(x,y)) = T(x,T(y,z)) \ (T(x,y) * u). [para(6875(a,1),4710(a,2,1))]. given #8666 (H,wt=30): 9517 L(K(x,K(y,z)) \ u,K(T(x,y),K(y,z)),T(x,y)) = T(x,T(y,z)) \ (T(x,y) * u). [para(7188(a,1),6888(a,1,1,1))]. given #8667 (H,wt=19): 9518 T(x,T(y,z)) \ (T(x,y) * u) = K(x,K(y,z)) \ u. [hyper(4666,a,9517,a)]. given #8668 (H,wt=19): 9520 K(x,K(y,z)) \ (T(x,T(y,z)) * u) = T(x,y) * u. [hyper(199,a,8882,a(flip),b,9518,a(flip))]. given #8669 (H,wt=19): 9521 T(x,y) * (T(x,T(y,z)) \ u) = K(x,K(y,z)) \ u. [para(14(a,1),9520(a,1,2)),flip(a)]. given #8670 (H,wt=32): 7468 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(7467(a,1),395(a,1,2,2)),flip(a)]. given #8671 (H,wt=24): 9522 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(199,a,15,a(flip),b,7468,a)]. given #8672 (H,wt=16): 9524 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(7467(a,1),9522(a,1,3))]. given #8673 (H,wt=32): 7574 (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(7503(a,2),162(a,1,1,1))]. given #8674 (H,wt=28): 9525 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(3104(a,1),7574(a,1,2,1)),flip(a)]. given #8675 (H,wt=24): 9526 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3104(a,1),9525(a,1,2)),flip(a)]. given #8676 (H,wt=32): 7960 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). [para(1561(a,1),7558(a,1,2,2,2)),flip(a)]. given #8677 (H,wt=30): 9530 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). [para(32(a,2),7960(a,2,2,2))]. given #8678 (H,wt=24): 9531 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). [hyper(199,a,6825,a(flip),b,9530,a)]. given #8679 (H,wt=21): 9533 K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). [para(470(a,1),9531(a,1,2))]. given #8680 (H,wt=21): 9534 K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). [para(16(a,1),9533(a,1,2,1,1)),flip(a)]. given #8681 (H,wt=21): 9535 K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). [para(13(a,1),9534(a,1,2,1)),flip(a)]. given #8682 (H,wt=27): 9536 L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [hyper(6403,a,9535,a)]. given #8683 (H,wt=27): 9537 L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [para(8195(a,1),9536(a,1,1))]. given #8684 (H,wt=19): 9538 L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). [para(6519(a,1),9537(a,1,1))]. given #8685 (H,wt=17): 9539 K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). [hyper(8442,a,9538,a)]. given #8686 (H,wt=14): 9541 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(199,a,6746,a(flip),b,9539,a(flip))]. given #8687 (H,wt=12): 9542 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(199,a,6442,a(flip),b,9541,a(flip)),flip(a)]. given #8688 (H,wt=32): 8100 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1002(a,1),8098(a,1,2,2,1)),flip(a)]. given #8689 (H,wt=26): 9544 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(199,a,8102,a(flip),b,8100,a)]. given #8690 (H,wt=24): 9545 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(199,a,6132,a(flip),b,9544,a)]. given #8691 (H,wt=17): 9546 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(199,a,8611,a(flip),b,9545,a(flip))]. given #8692 (H,wt=17): 9548 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(199,a,8950,a,b,9546,a(flip)),flip(a)]. given #8693 (H,wt=32): 8139 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(7924(a,2),7735(a,2,1))]. given #8694 (H,wt=27): 9549 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8537(a,1),8139(a,1,2))]. given #8695 (H,wt=27): 9550 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7716(a,1),9549(a,1,2))]. given #8696 (H,wt=25): 9552 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(7924(a,1),9550(a,2,1))]. given #8697 (H,wt=24): 9553 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(199,a,9403,a(flip),b,9552,a(flip)),flip(a)]. given #8698 (H,wt=24): 9554 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(8365,a,9553,a)]. given #8699 (H,wt=22): 9555 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(9362,a,9554,a)]. given #8700 (H,wt=32): 8427 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(3921(a,1),8426(a,1,1))]. given #8701 (H,wt=32): 8482 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(5277(a,1),7483(a,1,2,1))]. given #8702 (H,wt=28): 9557 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(5281(a,1),8482(a,1,2))]. given #8703 (H,wt=24): 9558 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(199,a,7795,a(flip),b,9557,a)]. given #8704 (H,wt=32): 8517 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(394(a,1),8342(a,2,2))]. given #8705 (H,wt=28): 9560 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,1),8517(a,1,2,1))]. given #8706 (H,wt=23): 9562 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),9560(a,1,2))]. given #8707 (H,wt=20): 9563 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(8445,a,9562,a)]. given #8708 (H,wt=17): 9564 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(199,a,7004,a(flip),b,9563,a)]. given #8709 (H,wt=17): 9567 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),9564(a,2,2,2))]. given #8710 (H,wt=29): 9568 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(4024(a,1),9567(a,1,1,2))]. given #8711 (H,wt=24): 9569 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7052,a,9568,a)]. given #8712 (H,wt=32): 8644 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(8643(a,2),399(a,2,2))]. given #8713 (H,wt=28): 9571 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [hyper(68,a,105,a(flip),b,8644,a)]. given #8714 (H,wt=28): 9572 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9029,a,9571,a)]. given #8715 (H,wt=28): 9573 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(8500,a,9572,a)]. given #8716 (H,wt=24): 9574 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),9573(a,1,2,1)),flip(a)]. given #8717 (H,wt=19): 9575 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(199,a,8222,a(flip),b,9574,a)]. given #8718 (H,wt=23): 9576 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(149(a,1),9575(a,1,2)),flip(a)]. given #8719 (H,wt=26): 9577 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(9575(a,1),8644(a,1,2))]. given #8720 (H,wt=19): 9578 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(199,a,8506,a(flip),b,9577,a(flip))]. given #8721 (H,wt=15): 9579 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(69,a,9578,a(flip),b,105,a(flip))]. given #8722 (H,wt=15): 9581 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(199,a,358,a(flip),b,9579,a(flip))]. given #8723 (H,wt=17): 9583 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(14(a,1),9581(a,1,1,2))]. given #8724 (H,wt=17): 9584 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),9581(a,1,1,2))]. given #8725 (H,wt=18): 9586 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(9581(a,1),7271(a,1,2))]. given #8726 (H,wt=19): 9588 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(199,a,8579,a,b,9584,a(flip)),flip(a)]. given #8727 (H,wt=19): 9590 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(9588(a,1),63(a,1,1)),flip(a)]. given #8728 (H,wt=22): 9589 K(x,y / ((z * x) * u)) != w | K(x,y / (x * (z * u))) = w. [para(6662(a,1),9586(a,1))]. given #8729 (H,wt=23): 9587 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(9583(a,1),7403(a,1,2,2))]. given #8730 (H,wt=23): 9591 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(9590(a,2),2913(a,2,1))]. given #8731 (H,wt=32): 8724 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(549(a,1),8565(a,1,2)),flip(a)]. given #8732 (H,wt=28): 9592 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(199,a,3388,a(flip),b,8724,a)]. given #8733 (H,wt=25): 9593 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(549(a,1),9592(a,1,2))]. given #8734 (H,wt=21): 9594 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(5189,a,9593,a),flip(a)]. given #8735 (H,wt=32): 8849 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(5771(a,1),8848(a,1,2))]. given #8736 (H,wt=32): 9021 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(8955(a,1),7844(a,2,2))]. given #8737 (H,wt=30): 9596 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(6046(a,1),9021(a,1,2))]. given #8738 (H,wt=30): 9597 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(199,a,8451,a(flip),b,9596,a(flip)),flip(a)]. given #8739 (H,wt=32): 9206 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(7526(a,1),9190(a,1,2))]. given #8740 (H,wt=24): 9598 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(9238(a,1),9206(a,1,1)),flip(a)]. given #8741 (H,wt=18): 9599 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(8900,a,9598,a),flip(a)]. given #8742 (H,wt=18): 9601 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7159,a,9599,a)]. given #8743 (H,wt=32): 9273 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(199,a,163,a(flip),b,9272,a)]. given #8744 (H,wt=25): 9604 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(105(a,1),9273(a,1,1))]. given #8745 (H,wt=32): 9467 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(9466(a,1),8238(a,2,1))]. given #8746 (H,wt=30): 9605 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(9462(a,1),9467(a,1,2,1))]. given #8747 (H,wt=32): 9478 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(8451(a,1),9476(a,1,1))]. given #8748 (H,wt=32): 9556 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(7382,a,8427,a),flip(a)]. given #8749 (H,wt=27): 9609 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(199,a,8886,a(flip),b,9556,a)]. given #8750 (H,wt=25): 9611 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(199,a,7169,a(flip),b,9609,a)]. given #8751 (H,wt=32): 9608 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(7084(a,2),9478(a,1,2,2,1))]. given #8752 (H,wt=32): 9612 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(5008(a,1),9608(a,1,2))]. given #8753 (H,wt=33): 5027 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(5008(a,1),3587(a,1,1))]. given #8754 (H,wt=33): 6635 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4032(a,1),6634(a,1,1,2))]. given #8755 (H,wt=27): 9614 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4032(a,1),6635(a,1,2))]. given #8756 (H,wt=24): 9615 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(199,a,5405,a(flip),b,9614,a)]. given #8757 (H,wt=21): 9616 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7008(a,1),9615(a,1,1,1,1))]. given #8758 (H,wt=19): 9617 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(5806(a,1),9616(a,1,1))]. given #8759 (H,wt=19): 9619 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(8390(a,1),9617(a,1,1))]. given #8760 (H,wt=33): 7366 (((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(6986(a,1),739(a,1,1,2)),flip(a)]. given #8761 (H,wt=33): 7837 T(T(x,K(y,z * K(u,y \ 1))),(z / y) * K(u,y \ 1)) = T(x,y \ (z * K(u,y \ 1))). [para(5696(a,1),7828(a,1,2))]. given #8762 (H,wt=33): 8417 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(5997(a,2),7935(a,2,2,2)),flip(a)]. given #8763 (H,wt=28): 9621 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(199,a,9257,a(flip),b,8417,a)]. given #8764 (H,wt=26): 9623 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(199,a,6005,a(flip),b,9621,a)]. given #8765 (H,wt=24): 9624 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5997(a,1),9623(a,1,2,2))]. given #8766 (H,wt=33): 8461 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(8292(a,1),8456(a,1,2,1,2,2)),flip(a)]. given #8767 (H,wt=23): 9625 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(199,a,8456,a(flip),b,8461,a)]. given #8768 (H,wt=25): 9626 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(7155(a,1),9625(a,1,2,1,2,1))]. given #8769 (H,wt=23): 9627 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(199,a,9469,a(flip),b,9626,a(flip))]. given #8770 (H,wt=19): 9629 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(199,a,8530,a(flip),b,9627,a(flip)),flip(a)]. given #8771 (H,wt=17): 9631 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(112(a,1),9629(a,2,2))]. given #8772 (H,wt=18): 9632 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(199,a,8933,a(flip),b,9631,a(flip)),flip(a)]. given #8773 (H,wt=14): 9634 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(13(a,1),9632(a,2,2))]. given #8774 (H,wt=16): 9635 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(199,a,8872,a(flip),b,9634,a(flip))]. given #8775 (H,wt=17): 9637 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(199,a,8715,a,b,9635,a(flip)),flip(a)]. given #8776 (H,wt=19): 9630 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(199,a,8158,a(flip),b,9629,a(flip))]. given #8777 (H,wt=17): 9640 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [para(11(a,1),9630(a,2,2,1))]. given #8778 (H,wt=16): 9641 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(199,a,7437,a(flip),b,9640,a(flip)),flip(a)]. given #8779 (H,wt=32): 9639 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(199,a,8833,a(flip),b,9637,a(flip)),flip(a)]. given #8780 (H,wt=33): 9197 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9181(a,2),719(a,1,2,2,2))]. given #8781 (H,wt=33): 9620 (((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(6018(a,1),7366(a,2,1))]. given #8782 (H,wt=33): 9642 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9641(a,1),8830(a,1,1))]. given #8783 (H,wt=28): 9644 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(6553,a,9642,a),flip(a)]. given #8784 (H,wt=24): 9645 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(3109,a,9644,a)]. given #8785 (H,wt=24): 9646 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(8831,a,9645,a)]. given #8786 (H,wt=21): 9647 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(357(a,1),9646(a,1,2,1,2))]. given #8787 (H,wt=21): 9648 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(199,a,8198,a(flip),b,9647,a)]. given #8788 (H,wt=23): 9649 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [hyper(9266,a,9648,a)]. given #8789 (H,wt=19): 9651 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(194(a,1),9649(a,1,2,1)),flip(a)]. given #8790 (H,wt=23): 9650 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),9648(a,1,2,2))]. given #8791 (H,wt=21): 9652 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(6852,a,9650,a)]. given #8792 (H,wt=19): 9653 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(199,a,9647,a(flip),b,9652,a(flip)),flip(a)]. given #8793 (H,wt=17): 9655 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(12(a,1),9653(a,2,2,1))]. given #8794 (H,wt=17): 9659 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(199,a,9651,a,b,9655,a(flip)),flip(a)]. given #8795 (H,wt=21): 9660 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(199,a,9053,a(flip),b,9659,a(flip))]. given #8796 (H,wt=19): 9661 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(7418,a,9660,a)]. given #8797 (H,wt=17): 9662 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(8286,a,9661,a),flip(a)]. given #8798 (H,wt=22): 9658 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(9653(a,1),9098(a,1))]. given #8799 (H,wt=24): 9654 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(199,a,6520,a,b,9653,a(flip)),flip(a)]. given #8800 (H,wt=25): 9656 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(9653(a,1),8156(a,1,2,2))]. given #8801 (H,wt=19): 9664 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5114,a,9656,a),flip(a)]. given #8802 (H,wt=19): 9665 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(8915,a,9664,a)]. given #8803 (H,wt=17): 9667 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(12(a,1),9665(a,2,1,1))]. given #8804 (H,wt=18): 9669 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(199,a,6374,a,b,9667,a(flip)),flip(a)]. given #8805 (H,wt=18): 9670 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(199,a,7969,a(flip),b,9669,a)]. given #8806 (H,wt=18): 9671 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(5337(a,2),9669(a,1,1))]. given #8807 (H,wt=18): 9673 L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). [para(5337(a,2),9670(a,1,1))]. given #8808 (H,wt=20): 9668 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(199,a,6434,a,b,9667,a(flip)),flip(a)]. given #8809 (H,wt=22): 9666 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(9664(a,1),8915(a,1))]. given #8810 (H,wt=24): 9672 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(9669(a,1),8983(a,1,2))]. given #8811 (H,wt=24): 9676 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(9672(a,1),5036(a,1,2))]. given #8812 (H,wt=18): 9677 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9000,a,9676,a)]. given #8813 (H,wt=18): 9679 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5255(a,2),9677(a,1,1))]. given #8814 (H,wt=20): 9678 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(14(a,1),9677(a,2,2,2,1))]. given #8815 (H,wt=23): 9680 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(386(a,1),9679(a,2,2))]. given #8816 (H,wt=20): 9681 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(199,a,6384,a(flip),b,9680,a)]. given #8817 (H,wt=26): 9663 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(7385,a,9662,a),flip(a)]. given #8818 (H,wt=22): 9683 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(199,a,3090,a(flip),b,9663,a)]. given #8819 (H,wt=22): 9684 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8853,a,9683,a)]. given #8820 (H,wt=28): 9657 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9653(a,1),8157(a,1,1))]. given #8821 (H,wt=23): 9686 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(199,a,9654,a(flip),b,9657,a(flip))]. given #8822 (H,wt=28): 9685 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(199,a,8255,a,b,9684,a),flip(a)]. given #8823 (H,wt=26): 9688 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(6970(a,1),9685(a,1,1))]. given #8824 (H,wt=18): 9689 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(14(a,1),9688(a,2,2,1,2,1))]. given #8825 (H,wt=19): 9690 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(199,a,5335,a,b,9689,a),flip(a)]. given #8826 (H,wt=21): 9692 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(9690(a,1),4652(a,2,2))]. given #8827 (H,wt=30): 9675 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(105(a,1),9671(a,2,1,2))]. given #8828 (H,wt=26): 9693 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(7553(a,1),9675(a,1,1))]. given #8829 (H,wt=24): 9695 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(8890(a,1),9693(a,1,1)),flip(a)]. given #8830 (H,wt=23): 9696 L(K(x * y,T(x,z)),y,z) != u | K((z / (z * y)) \ x,x) = u. [para(9695(a,1),6187(a,1))]. given #8831 (H,wt=31): 9687 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(199,a,8600,a(flip),b,9686,a(flip)),flip(a)]. given #8832 (H,wt=27): 9697 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(199,a,7689,a,b,9687,a(flip))]. given #8833 (H,wt=25): 9698 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(199,a,8925,a(flip),b,9697,a)]. given #8834 (H,wt=25): 9699 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),9698(a,1,2,1)),flip(a)]. given #8835 (H,wt=21): 9700 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(199,a,7252,a(flip),b,9699,a(flip))]. given #8836 (H,wt=19): 9701 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(199,a,6005,a(flip),b,9700,a)]. given #8837 (H,wt=15): 9702 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(4942,a,9701,a),flip(a)]. given #8838 (H,wt=15): 9703 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(199,a,6519,a(flip),b,9701,a(flip))]. given #8839 (H,wt=15): 9705 K(x,x \ (y * (x * z))) = K(x,y * z). [para(13(a,1),9702(a,2,2,2))]. given #8840 (H,wt=15): 9706 K(x,y * (x \ (y \ z))) = K(x,x \ z). [para(14(a,1),9702(a,1,2,2)),flip(a)]. given #8841 (H,wt=15): 9708 K(x,x \ ((x \ y) \ z)) = K(x,y \ z). [para(14(a,1),9703(a,1,2,2)),flip(a)]. given #8842 (H,wt=15): 9710 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(199,a,8511,a,b,9705,a(flip)),flip(a)]. given #8843 (H,wt=13): 9713 K(x,y * (1 / x)) = K(x,x \ y). [para(62(a,1),9710(a,1,2,2)),flip(a)]. given #8844 (H,wt=15): 9711 K(x,x \ ((y / x) \ z)) = K(x,y \ z). [hyper(199,a,6832,a,b,9708,a(flip)),flip(a)]. given #8845 (H,wt=15): 9715 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(9713(a,1),4911(a,1,2)),flip(a)]. given #8846 (H,wt=13): 9718 K(x * (1 / y),y) = K(y \ x,y). [hyper(199,a,4911,a(flip),b,9715,a)]. given #8847 (H,wt=13): 9721 K(x * (y \ 1),y) = K(y \ x,y). [hyper(199,a,5174,a(flip),b,9718,a(flip)),flip(a)]. given #8848 (H,wt=15): 9716 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [para(15(a,1),9711(a,1,2,2,1)),flip(a)]. given #8849 (H,wt=15): 9719 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(199,a,4103,a,b,9718,a),flip(a)]. given #8850 (H,wt=15): 9720 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [hyper(199,a,4102,a(flip),b,9718,a)]. given #8851 (H,wt=15): 9724 x * K(x * (y \ 1),y) = (y \ x) * y. [para(9721(a,2),221(a,1,2))]. given #8852 (H,wt=15): 9725 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(7949,a,9716,a)]. given #8853 (H,wt=15): 9727 K(T(x,1 / y) / y,y) = K(x / y,y). [para(883(a,1),9720(a,1,1))]. given #8854 (H,wt=15): 9731 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(13(a,1),9725(a,1,2,2)),flip(a)]. given #8855 (H,wt=15): 9732 K(x,y \ (x \ (y * z))) = K(x,x \ z). [para(13(a,1),9725(a,2,2,2))]. given #8856 (H,wt=14): 9734 L(K(x,x \ y),y,z) = K(x,x \ y). [hyper(7961,a,9732,a)]. given #8857 (H,wt=10): 9737 a(x,y,K(z \ y,z)) = 1. [hyper(67,a,9734,a(flip),b,8988,a),flip(a)]. given #8858 (H,wt=14): 9739 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(33,a,9737,a)]. given #8859 (H,wt=15): 9740 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(7981,a,9739,a)]. given #8860 (H,wt=15): 9741 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(6550,a,9739,a)]. given #8861 (H,wt=15): 9744 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(14(a,1),9740(a,1,1,2,2))]. given #8862 (H,wt=15): 9746 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(9159,a,9741,a)]. given #8863 (H,wt=15): 9747 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(199,a,7443,a(flip),b,9744,a(flip))]. given #8864 (H,wt=16): 9723 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(199,a,4923,a(flip),b,9721,a(flip)),flip(a)]. given #8865 (H,wt=12): 9751 K(R(x,y,y \ 1),y) = K(x,y). [hyper(199,a,574,a(flip),b,9723,a)]. given #8866 (H,wt=17): 9712 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(55(a,1),9710(a,1,2,2))]. given #8867 (H,wt=15): 9754 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(8462,a,9712,a),flip(a)]. given #8868 (H,wt=17): 9714 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(9710(a,1),7815(a,1,2)),flip(a)]. given #8869 (H,wt=17): 9722 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(60(a,1),9718(a,1,1,2)),flip(a)]. given #8870 (H,wt=17): 9735 K(x,x \ y) != z | L(K(x,x \ y),y,u) = z. [para(9732(a,1),7961(a,1))]. given #8871 (H,wt=17): 9745 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(9740(a,1),8053(a,1,2))]. given #8872 (H,wt=10): 9762 R(x,y,K(z \ y,z)) = x. [hyper(724,a,9745,a)]. given #8873 (H,wt=10): 9765 R(x,y * z,K(z,y)) = x. [para(13(a,1),9762(a,1,3,1))]. given #8874 (H,wt=11): 9766 R(x,y,T(z,y)) = R(x,y,z). [hyper(6583,a,9765,a)]. given #8875 (H,wt=13): 9764 R(x,y / z,z) = R(x,z \ y,z). [hyper(199,a,6773,a(flip),b,9762,a(flip))]. given #8876 (H,wt=15): 9767 (x * (y * z)) * K(z,y) = x * (z * y). [para(9765(a,1),435(a,1,1)),flip(a)]. given #8877 (H,wt=10): 9779 K(x,L(y,x,z)) = K(x,y). [hyper(8508,a,9767,a)]. given #8878 (H,wt=10): 9782 K(L(x,y,z),y) = K(x,y). [hyper(8444,a,9779,a)]. given #8879 (H,wt=12): 9785 L(K(x,y),z,y * x) = K(x,y). [hyper(199,a,9576,a(flip),b,9779,a(flip)),flip(a)]. given #8880 (H,wt=10): 9794 K(x,R(y,x,z)) = K(x,y). [hyper(199,a,9144,a(flip),b,9785,a(flip)),flip(a)]. given #8881 (H,wt=10): 9797 K(R(x,y,z),y) = K(x,y). [hyper(199,a,8254,a,b,9794,a(flip)),flip(a)]. given #8882 (H,wt=12): 9786 T(x,L(y,x,z)) = x * K(x,y). [para(9779(a,1),4652(a,2,2))]. given #8883 (H,wt=10): 9807 T(x,L(y,x,z)) = T(x,y). [hyper(199,a,4652,a,b,9786,a)]. given #8884 (H,wt=13): 9803 K(R(x,y,z),y) = K(x,R(y,x,u)). [hyper(199,a,9794,a,b,9797,a)]. given #8885 (H,wt=13): 9806 K(x,y) != z | K(x,R(y,x,u)) = z. [para(9797(a,1),8551(a,1))]. given #8886 (H,wt=13): 9816 K(R(x,y,z),y) != u | K(x,y) = u. [para(9803(a,2),7052(a,1))]. given #8887 (H,wt=13): 9819 K(x,R(y,x,z)) != u | K(x,y) = u. [para(8254(a,1),9816(a,1))]. given #8888 (H,wt=15): 9774 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7084(a,2),9766(a,1,3))]. given #8889 (H,wt=15): 9798 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(199,a,8940,a(flip),b,9794,a(flip)),flip(a)]. given #8890 (H,wt=15): 9809 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(199,a,8039,a(flip),b,9807,a(flip)),flip(a)]. given #8891 (H,wt=15): 9810 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(9807(a,1),105(a,1,2))]. given #8892 (H,wt=15): 9815 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(9803(a,2),4652(a,2,2))]. given #8893 (H,wt=10): 9831 T(x,R(y,x,z)) = T(x,y). [hyper(199,a,7018,a(flip),b,9815,a)]. given #8894 (H,wt=15): 9821 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(9144(a,2),9819(a,1))]. given #8895 (H,wt=13): 9836 K(x,L(y,x,z)) != u | K(x,y) = u. [para(9575(a,1),9821(a,1))]. given #8896 (H,wt=15): 9822 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(9586,a,9798,a)]. given #8897 (H,wt=15): 9824 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(199,a,8864,a,b,9798,a(flip)),flip(a)]. given #8898 (H,wt=15): 9841 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(13(a,1),9824(a,1,2,1)),flip(a)]. given #8899 (H,wt=16): 9772 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(9766(a,1),434(a,1,1))]. given #8900 (H,wt=16): 9799 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),9794(a,1,2))]. given #8901 (H,wt=16): 9843 (x * T(y,z)) / (y * z) = R(x / z,z,y). [hyper(69,a,81,a(flip),b,9772,a)]. given #8902 (H,wt=17): 9755 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [hyper(199,a,5214,a,b,9712,a(flip)),flip(a)]. given #8903 (H,wt=17): 9757 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4630,a,9754,a)]. given #8904 (H,wt=15): 9850 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(17,a,4600,a,b,9757,a)]. given #8905 (H,wt=15): 9851 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(199,a,3992,a(flip),b,9850,a)]. given #8906 (H,wt=17): 9800 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(442(a,1),9794(a,1,2)),flip(a)]. given #8907 (H,wt=17): 9805 K(x / (1 / y),1 / y) = K(x * y,1 / y). [para(442(a,1),9797(a,1,1)),flip(a)]. given #8908 (H,wt=17): 9838 L(K(x,x \ y),y,z) != u | K(x,x \ y) = u. [para(6388(a,2),9836(a,1))]. given #8909 (H,wt=17): 9839 K(x,T((x * y) \ z,y)) = K(x,x \ (z / y)). [hyper(7634,a,9822,a)]. given #8910 (H,wt=17): 9848 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [hyper(5070,a,9755,a)]. given #8911 (H,wt=15): 9856 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(18,a,4874,a,b,9848,a),flip(a)]. given #8912 (H,wt=17): 9849 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(3110,a,9755,a)]. given #8913 (H,wt=17): 9854 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),9851(a,1,2))]. given #8914 (H,wt=17): 9857 T(1 / (x \ y),y) = ((1 / (x \ y)) \ x) \ x. [para(14(a,1),9856(a,1,2))]. given #8915 (H,wt=18): 9704 K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. [para(9701(a,1),4942(a,1))]. given #8916 (H,wt=18): 9813 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(9807(a,1),6590(a,1,1,2)),flip(a)]. given #8917 (H,wt=11): 9860 L(x,T(y,x),z) = L(x,y,z). [hyper(199,a,28,a,b,9813,a),flip(a)]. given #8918 (H,wt=13): 9862 L(x,y / x,z) = L(x,x \ y,z). [para(107(a,1),9860(a,1,2)),flip(a)]. given #8919 (H,wt=18): 9817 L(K(x,y),z,y * x) != u | K(x,R(y,x,w)) = u. [para(9785(a,2),9806(a,1))]. given #8920 (H,wt=18): 9865 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(199,a,471,a(flip),b,9862,a(flip))]. given #8921 (H,wt=18): 9866 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(9862(a,1),6435(a,1,1))]. given #8922 (H,wt=18): 9867 K(L(x,y,z),u) != w | L(K(x,u),x * y,z) = w. [para(13(a,1),9866(a,1,1,2))]. given #8923 (H,wt=19): 9707 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(9702(a,1),6232(a,1,1,2))]. given #8924 (H,wt=15): 9868 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6245,a,9707,a),flip(a)]. given #8925 (H,wt=15): 9870 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(14(a,1),9868(a,1,1,2)),flip(a)]. given #8926 (H,wt=19): 9709 K(x / y,(x / y) \ z) = K(x / y,x \ (y * z)). [para(63(a,1),9703(a,1,2,2,1)),flip(a)]. given #8927 (H,wt=19): 9726 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(199,a,5176,a(flip),b,9719,a)]. given #8928 (H,wt=15): 9872 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(199,a,5180,a(flip),b,9726,a(flip))]. given #8929 (H,wt=19): 9728 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(63(a,1),9724(a,1,2,1,2)),flip(a)]. given #8930 (H,wt=19): 9729 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(5184(a,1),9724(a,1,2)),flip(a)]. given #8931 (H,wt=17): 9874 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5364,a,9729,a)]. given #8932 (H,wt=19): 9730 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(199,a,8198,a(flip),b,9725,a(flip))]. given #8933 (H,wt=19): 9736 K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). [hyper(6475,a,9734,a),flip(a)]. given #8934 (H,wt=19): 9758 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(9754(a,2),5456(a,2,2))]. given #8935 (H,wt=19): 9759 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7554(a,1),9714(a,1,2)),flip(a)]. given #8936 (H,wt=19): 9780 K(x,y) * T(z * (y * x),K(y,x)) = z * (x * y). [hyper(5283,a,9767,a)]. given #8937 (H,wt=19): 9795 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(9785(a,1),9109(a,1,1))]. given #8938 (H,wt=15): 9877 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(199,a,9150,a(flip),b,9795,a)]. given #8939 (H,wt=15): 9880 K(x,y) * ((x * y) * z) = (y * x) * z. [hyper(5045,a,9877,a)]. given #8940 (H,wt=15): 9881 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(499,a,9877,a)]. given #8941 (H,wt=15): 9882 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(270,a,9877,a),flip(a)]. given #8942 (H,wt=16): 9885 L(x \ (T(y,x) \ z),x,y) = (x * y) \ z. [hyper(5102,a,9881,a)]. given #8943 (H,wt=19): 9825 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(199,a,6662,a(flip),b,9798,a(flip)),flip(a)]. given #8944 (H,wt=19): 9826 K(x \ y,(x \ y) \ (z / x)) = K(x \ y,z / y). [para(14(a,1),9798(a,1,2,2)),flip(a)]. given #8945 (H,wt=19): 9858 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(9849(a,1),4851(a,1,2)),flip(a)]. given #8946 (H,wt=19): 9871 K(x / y,(x / y) \ z) = K(y \ x,(y * z) / x). [hyper(199,a,7238,a(flip),b,9709,a)]. given #8947 (H,wt=19): 9883 K(x,y) * ((y * x) * T(z,x * y)) = z * (x * y). [hyper(199,a,105,a(flip),b,9877,a)]. given #8948 (H,wt=19): 9888 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(199,a,8785,a(flip),b,9825,a(flip))]. given #8949 (H,wt=19): 9889 K(x \ y,y \ (x * (z / x))) = K(x \ y,z / y). [hyper(199,a,9736,a(flip),b,9826,a(flip)),flip(a)]. given #8950 (H,wt=19): 9892 T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). [hyper(17,a,9780,a,b,9883,a),flip(a)]. given #8951 (H,wt=19): 9893 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(199,a,9841,a(flip),b,9888,a(flip))]. given #8952 (H,wt=19): 9894 K(x \ y,(x * z) / y) = K(x \ y,y \ (z * x)). [para(194(a,1),9889(a,1,2,2)),flip(a)]. given #8953 (H,wt=20): 9753 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(9751(a,1),5060(a,1,1))]. given #8954 (H,wt=19): 9897 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(199,a,4216,a(flip),b,9753,a(flip))]. given #8955 (H,wt=17): 9899 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1196(a,1),9897(a,1,2,1))]. given #8956 (H,wt=17): 9900 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(9899(a,1),63(a,1,1)),flip(a)]. given #8957 (H,wt=17): 9902 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(73,a,9900,a)]. given #8958 (H,wt=20): 9777 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(199,a,5714,a(flip),b,9764,a(flip))]. given #8959 (H,wt=20): 9788 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(9779(a,1),8432(a,1,1))]. given #8960 (H,wt=16): 9904 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(199,a,8430,a(flip),b,9788,a(flip))]. given #8961 (H,wt=20): 9820 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(8641(a,2),9819(a,1))]. given #8962 (H,wt=20): 9847 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(7049(a,1),9843(a,1,1)),flip(a)]. given #8963 (H,wt=20): 9905 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(9788(a,2),7370(a,1))]. given #8964 (H,wt=20): 9909 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(3582(a,1),9847(a,1,1))]. given #8965 (H,wt=18): 9911 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9170(a,1),9909(a,1,1)),flip(a)]. given #8966 (H,wt=20): 9910 K(x,L(y,K(y,z) * u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(8274(a,1),9905(a,1))]. given #8967 (H,wt=20): 9912 K(L(x,y,z) \ 1,x) != u | K(x \ 1,L(x,w,v5)) = u. [para(5667(a,2),9910(a,1))]. given #8968 (H,wt=21): 9717 K(T(x,y),T(x,y) \ (y \ z)) = K(T(x,y),(x * y) \ z). [para(122(a,1),9711(a,1,2,2,1))]. given #8969 (H,wt=21): 9840 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(9822(a,1),8790(a,1,2))]. given #8970 (H,wt=19): 9914 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4655,a,9840,a),flip(a)]. given #8971 (H,wt=21): 9855 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(9800(a,1),5403(a,1,2,2))]. given #8972 (H,wt=17): 9915 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(199,a,5403,a(flip),b,9855,a(flip))]. given #8973 (H,wt=19): 9916 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(199,a,5618,a(flip),b,9915,a(flip))]. given #8974 (H,wt=17): 9917 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(7631,a,9916,a),flip(a)]. given #8975 (H,wt=20): 9918 K(x,1 / (y / (y / (1 / z)))) != u | K(x,T(z,y)) = u. [para(9916(a,1),7631(a,1))]. given #8976 (H,wt=21): 9891 x * K(y \ z,(y * x) / z) = (z / y) * (x / (z / y)). [para(9871(a,1),4851(a,1,2))]. given #8977 (H,wt=21): 9895 T(x * (y * z),K(y,y * z)) = (y * z) * T(x,z * y). [hyper(7894,a,9892,a)]. given #8978 (H,wt=13): 9920 T(x,T(y * z,y)) = T(x,z * y). [hyper(6177,a,9895,a)]. given #8979 (H,wt=13): 9923 T(x,(y \ z) * y) = T(x,T(z,y)). [para(14(a,1),9920(a,1,2,1)),flip(a)]. given #8980 (H,wt=14): 9925 T(x,(x \ y) * x) != z | T(x,y) = z. [para(9923(a,2),3980(a,1))]. given #8981 (H,wt=15): 9921 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(199,a,7812,a,b,9920,a(flip)),flip(a)]. given #8982 (H,wt=15): 9922 T(x,y / (y / (y * z))) = T(x,z * y). [hyper(199,a,7073,a,b,9920,a(flip)),flip(a)]. given #8983 (H,wt=15): 9926 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(5279,a,9921,a)]. given #8984 (H,wt=17): 9928 T(x,y / (y / (y * z))) = x * K(x,z * y). [hyper(199,a,4652,a(flip),b,9922,a)]. given #8985 (H,wt=15): 9930 K(x,y / (y / (y * z))) = K(x,z * y). [hyper(4708,a,9928,a)]. given #8986 (H,wt=13): 9931 K(x,T(y * z,y)) = K(x,z * y). [hyper(7425,a,9930,a)]. given #8987 (H,wt=13): 9933 K(x,T(y * z,z)) = K(x,z * y). [hyper(8227,a,9931,a)]. given #8988 (H,wt=13): 9936 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),9931(a,1,2,1)),flip(a)]. given #8989 (H,wt=13): 9942 K(x,T(y * z,z)) = K(z * y,x). [hyper(199,a,4738,a,b,9933,a)]. given #8990 (H,wt=13): 9943 K(x,y * (z / y)) = K(x,T(z,y)). [para(16(a,1),9933(a,1,2,1)),flip(a)]. given #8991 (H,wt=13): 9946 K(x * y,T(z,y)) = K(y * x,z). [hyper(7193,a,9942,a)]. given #8992 (H,wt=13): 9948 K(x * y,T(z,x)) = K(y * x,z). [hyper(7168,a,9946,a),flip(a)]. given #8993 (H,wt=13): 9949 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),9946(a,1,1)),flip(a)]. given #8994 (H,wt=13): 9954 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),9948(a,1,1)),flip(a)]. given #8995 (H,wt=11): 9957 K((x \ y) * x,T(y,z)) = 1. [hyper(199,a,371,a(flip),b,9954,a)]. given #8996 (H,wt=15): 9934 K(x / y,y * z) = K(y \ x,z * y). [hyper(7197,a,9931,a)]. given #8997 (H,wt=15): 9935 K(x / y,x * z) = K(y \ x,z * x). [hyper(7122,a,9931,a)]. given #8998 (H,wt=15): 9937 K(x,y * z) * y = y * K(x,z * y). [para(9931(a,1),7105(a,1,2)),flip(a)]. given #8999 (H,wt=15): 9951 K(x * y,z) * y = y * K(y * x,z). [para(9946(a,1),7105(a,1,2)),flip(a)]. given #9000 (H,wt=15): 9952 K(x * y,z) * x = x * K(y * x,z). [para(9946(a,1),7106(a,1,1))]. given #9001 (H,wt=15): 9955 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(166(a,2),9948(a,2,1)),flip(a)]. given #9002 (H,wt=11): 9959 K(T(x \ y,x) * x,y) = 1. [hyper(199,a,9957,a(flip),b,9955,a)]. given #9003 (H,wt=13): 9960 x * K(T(y \ z,y) * y,z) = x. [para(9959(a,2),12(a,1,2))]. given #9004 (H,wt=16): 9932 K(x,y * z) != u | K(x,T(z * y,z)) = u. [para(9930(a,1),7425(a,1))]. given #9005 (H,wt=16): 9947 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(9942(a,2),4862(a,1))]. given #9006 (H,wt=16): 9963 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8226(a,1),9947(a,1))]. given #9007 (H,wt=17): 9945 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4398(a,1),9936(a,1,2)),flip(a)]. given #9008 (H,wt=17): 9950 K(x * y,T(T(z,x),u)) = K(y * x,T(z,u)). [para(110(a,1),9946(a,1,2)),flip(a)]. given #9009 (H,wt=18): 9927 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(9921(a,1),339(a,1,1))]. given #9010 (H,wt=18): 9929 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(9926(a,1),339(a,1))]. given #9011 (H,wt=18): 9944 K(x / y,y * z) != u | K(y \ x,z * y) = u. [para(9933(a,1),7378(a,1))]. given #9012 (H,wt=18): 9964 K(x / y,x * z) != u | K(y \ x,z * x) = u. [para(7095(a,1),9963(a,1))]. given #9013 (H,wt=18): 9965 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(9945(a,1),4925(a,1))]. given #9014 (H,wt=19): 9938 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(9931(a,1),7151(a,2,2))]. given #9015 (H,wt=19): 9939 K(x,y * z) * K(x,z * y) = K(x,K(z,z * y)). [para(9931(a,1),7796(a,1,1))]. given #9016 (H,wt=17): 9970 K(x,y * z) * K(x,z * y) = K(x,K(z,y)). [hyper(199,a,7817,a(flip),b,9939,a)]. given #9017 (H,wt=17): 9971 K(x,y * z) * K(x,K(z,y)) = K(x,z * y). [hyper(5045,a,9970,a)]. given #9018 (H,wt=17): 9973 K(x,K(y,z)) * K(x,z * y) = K(x,y * z). [hyper(4839,a,9971,a)]. given #9019 (H,wt=17): 9975 K(x,K(y,z)) * K(y,z * x) = K(y,x * z). [para(7732(a,1),9973(a,1,1))]. given #9020 (H,wt=19): 9956 K(x,T(y,z)) * (z * (x / z)) = T(z * (x / z),y). [para(9949(a,1),4660(a,2,1)),flip(a)]. given #9021 (H,wt=19): 9977 T(x,T(y,z)) * K(z,z \ x) = T(z * (x / z),y). [hyper(5358,a,9956,a)]. given #9022 (H,wt=20): 9940 K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. [para(9931(a,1),7973(a,1))]. given #9023 (H,wt=20): 9961 K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. [para(6862(a,1),9947(a,1))]. given #9024 (H,wt=20): 9962 K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. [para(7918(a,1),9947(a,1))]. given #9025 (H,wt=20): 9972 K(x,y * z) * K(x,K(z,y)) != u | K(x,z * y) = u. [para(9970(a,1),5042(a,1,2)),flip(b)]. given #9026 (H,wt=21): 9901 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(273,a,9900,a)]. given #9027 (H,wt=21): 9907 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(199,a,9083,a(flip),b,9904,a(flip)),flip(a)]. given #9028 (H,wt=21): 9913 K(T(x,y),T(x,y) \ (y \ z)) = K(x,T((x * y) \ z,y)). [hyper(199,a,7141,a(flip),b,9717,a)]. given #9029 (H,wt=19): 9981 K(T(x,y),T(x,y) \ (y \ z)) = K(x,x \ (z / y)). [hyper(199,a,9839,a(flip),b,9913,a)]. given #9030 (H,wt=19): 9982 K(x,T(T(x,y) \ (y \ z),y)) = K(x,x \ (z / y)). [hyper(7382,a,9981,a)]. given #9031 (H,wt=17): 9983 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [hyper(199,a,7520,a(flip),b,9982,a(flip)),flip(a)]. given #9032 (H,wt=17): 9985 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [para(13(a,1),9983(a,1,2,1,2)),flip(a)]. given #9033 (H,wt=15): 9986 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [para(185(a,2),9985(a,1,2,2))]. given #9034 (H,wt=19): 9987 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(199,a,4421,a,b,9986,a(flip)),flip(a)]. given #9035 (H,wt=21): 9919 x * K(y \ z,z \ (x * y)) = (z / y) * (x / (z / y)). [para(9894(a,1),9891(a,1,2))]. given #9036 (H,wt=21): 9979 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(9962,a,9116,a)]. given #9037 (H,wt=22): 9738 K(x \ y,(x \ y) \ z) != u | K(x \ y,y \ (x * z)) = u. [para(9734(a,1),6475(a,1))]. given #9038 (H,wt=22): 9781 K(x,y) * z != u * (x * y) | T(u * (y * x),K(y,x)) = z. [para(9767(a,1),5343(a,2))]. given #9039 (H,wt=22): 9837 K(x \ y,y \ (x * z)) != u | K(x \ y,(x \ y) \ z) = u. [para(409(a,1),9836(a,1,2))]. given #9040 (H,wt=22): 9846 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(199,a,5728,a,b,9799,a(flip)),flip(a)]. given #9041 (H,wt=19): 9988 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(9794(a,1),9846(a,1,1))]. given #9042 (H,wt=22): 9878 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(9795(a,2),225(a,1,2))]. given #9043 (H,wt=20): 9990 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(9878(a,1),4787(a,1))]. given #9044 (H,wt=10): 9991 L(x,y * z,K(z,y)) = x. [hyper(9990,a,9151,a)]. given #9045 (H,wt=11): 9992 L(x,T(y,z),z) = L(x,y,z). [hyper(6657,a,9991,a)]. given #9046 (H,wt=11): 9994 L(x,y,T(z,y)) = L(x,y,z). [hyper(199,a,5653,a(flip),b,9992,a(flip)),flip(a)]. given #9047 (H,wt=13): 9995 L(x,y / z,z) = L(x,z \ y,z). [para(107(a,1),9992(a,1,2)),flip(a)]. given #9048 (H,wt=13): 10001 L(x,y,z / y) = L(x,y,y \ z). [para(107(a,1),9994(a,1,3)),flip(a)]. given #9049 (H,wt=15): 10004 L(x,y,K(z,T(u,y))) = L(x,y,K(z,u)). [para(7084(a,2),9994(a,1,3))]. given #9050 (H,wt=16): 9998 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(9992(a,1),399(a,1,2))]. given #9051 (H,wt=16): 10003 (x * y) * L(z,x,y) = T(y,x) * (x * z). [para(9994(a,1),400(a,1,2))]. given #9052 (H,wt=16): 10007 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(199,a,410,a(flip),b,10001,a(flip))]. given #9053 (H,wt=16): 10008 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(79,a,9998,a)]. given #9054 (H,wt=18): 9993 L(L(x,y,z),u * w,K(w,u)) = L(x,T(y,z),z). [hyper(199,a,9991,a,b,9992,a),flip(a)]. given #9055 (H,wt=14): 10014 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(9993(a,1),6640(a,1)),flip(b)]. given #9056 (H,wt=13): 10018 K(x,y) != z | L(K(x,y),y,u) = z. [para(7167(a,1),10014(a,1))]. given #9057 (H,wt=14): 10017 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(5653(a,1),10014(a,1))]. given #9058 (H,wt=14): 10020 L(x,y,z) != u | L(x,y,T(z,y)) = u. [para(47(a,1),10017(a,1,3))]. given #9059 (H,wt=16): 10015 L(x,y \ z,y) != u | L(x,z / y,y) = u. [para(107(a,1),10014(a,1,2))]. given #9060 (H,wt=16): 10016 L(x,y / z,z) != u | L(x,z \ y,z) = u. [para(170(a,1),10014(a,1,2))]. given #9061 (H,wt=16): 10022 L(x,T(y,z),z) != u | L(x,y,T(z,y)) = u. [para(9992(a,2),10020(a,1))]. given #9062 (H,wt=17): 10019 (x * K(y,x)) / x != z | L(K(y,x),x,u) = z. [para(2962(a,2),10018(a,1))]. given #9063 (H,wt=19): 10021 L(K(x,y),z,u) != w | L(L(K(x,y),z,u),y,v5) = w. [para(6006(a,1),10017(a,1))]. given #9064 (H,wt=22): 9887 L(R(x \ (T(y,x) \ z),u,w),x,y) = R((x * y) \ z,u,w). [para(9885(a,1),44(a,1,1)),flip(a)]. given #9065 (H,wt=22): 9896 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(9893(a,1),5735(a,1))]. given #9066 (H,wt=22): 9978 T(x * (y / x),z) * K(x,x \ y) != u | T(y,T(z,x)) = u. [para(9977(a,1),6273(a,1,1)),flip(b)]. given #9067 (H,wt=17): 10024 x * (T(y,z) / T(x,x \ y)) = T(y,T(z,x)). [hyper(9978,a,8562,a),flip(a)]. given #9068 (H,wt=22): 10005 L(1 / (x / y),y \ x,y) \ 1 = 1 / ((y * (x / y)) \ y). [para(9995(a,1),2629(a,1,1))]. given #9069 (H,wt=22): 10011 (x * K(y,z)) * L(u,x,K(y,z)) = K(y,T(z,x)) * (x * u). [hyper(7979,a,10003,a(flip)),flip(a)]. given #9070 (H,wt=23): 9941 K(x,T(K(y,z) * u,y * z)) = K(x,((z * y) \ u) * (y * z)). [para(9882(a,1),9931(a,1,2,1))]. given #9071 (H,wt=23): 9958 K(x \ y,((y / x) \ (y \ z)) * y) = K(y / x,(y / x) \ z). [hyper(199,a,9706,a(flip),b,9935,a(flip))]. given #9072 (H,wt=24): 9776 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(199,a,8859,a(flip),b,9764,a(flip))]. given #9073 (H,wt=24): 9967 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(5286(a,1),9929(a,1,1,2))]. given #9074 (H,wt=25): 9842 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(3979(a,1),9841(a,1,2,2))]. given #9075 (H,wt=21): 10025 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(199,a,9731,a(flip),b,9842,a(flip))]. given #9076 (H,wt=25): 9873 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6029(a,1),9728(a,2,2))]. given #9077 (H,wt=25): 9886 (x * y) \ (T(x,y) * R(T(z,x),u,w)) = (y * x) \ (R(z,u,w) * x). [para(5003(a,1),9881(a,1,2))]. given #9078 (H,wt=23): 10026 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(3944(a,1),9886(a,1,2))]. given #9079 (H,wt=25): 9890 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6051(a,1),9858(a,2,2))]. given #9080 (H,wt=25): 9908 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(827(a,1),9904(a,1,1)),flip(a)]. given #9081 (H,wt=25): 9924 T(x,T((y / z) * u,y / T(z,(y / z) * u))) = T(x,u * (y / z)). [para(7290(a,2),9920(a,1,2))]. given #9082 (H,wt=25): 10023 T(x \ T(y,y \ x),x / y) != z | L(1 / (x / y),y \ x,y) = z. [para(5523(a,2),10016(a,1))]. given #9083 (H,wt=20): 10030 L(1 / (x / y),y \ x,y) = T((x \ y) \ 1,y) \ 1. [hyper(10023,a,6737,a)]. given #9084 (H,wt=21): 10031 (T((x \ y) \ 1,y) \ 1) \ 1 = 1 / ((y * (x / y)) \ y). [para(10030(a,1),10005(a,1,1))]. given #9085 (H,wt=21): 10032 T((((x \ y) \ 1) \ 1) \ 1,y) = 1 / ((y * (x / y)) \ y). [hyper(6949,a,10031,a)]. given #9086 (H,wt=17): 10033 1 / ((x * (y / x)) \ x) = T(1 / (y \ x),x). [para(3915(a,1),10032(a,1,1)),flip(a)]. given #9087 (H,wt=25): 10028 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(199,a,7323,a(flip),b,9908,a)]. given #9088 (H,wt=21): 10034 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(199,a,574,a(flip),b,10028,a)]. given #9089 (H,wt=21): 10035 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(7606,a,10034,a)]. given #9090 (H,wt=21): 10037 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9416,a,10035,a)]. given #9091 (H,wt=25): 10029 T(x,T((y / z) * u,y / T(z,(z \ y) * u))) = T(x,u * (y / z)). [para(6840(a,1),9924(a,1,2,2,2))]. given #9092 (H,wt=26): 9968 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(7129(a,1),9929(a,1,1,2))]. given #9093 (H,wt=27): 9760 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(199,a,6036,a(flip),b,9722,a)]. given #9094 (H,wt=21): 10038 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(199,a,6036,a(flip),b,9760,a(flip)),flip(a)]. given #9095 (H,wt=27): 9876 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(9730(a,1),6381(a,1,1)),flip(a)]. given #9096 (H,wt=27): 9966 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [para(586(a,1),9950(a,1,2,1))]. given #9097 (H,wt=25): 10041 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(199,a,9058,a(flip),b,9966,a(flip))]. given #9098 (H,wt=23): 10042 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(199,a,7138,a(flip),b,10041,a)]. given #9099 (H,wt=21): 10043 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(7388,a,10042,a)]. given #9100 (H,wt=21): 10044 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(199,a,8092,a,b,10043,a(flip)),flip(a)]. given #9101 (H,wt=27): 9974 K(x,((y / z) \ 1) * u) * K(x,K(u,z / y)) = K(x,u * ((y / z) \ 1)). [para(5235(a,1),9971(a,1,2,2))]. given #9102 (H,wt=27): 9976 K(x,K(y,T(z,u))) * K(y,(u * (z / u)) * x) = K(y,x * (u * (z / u))). [para(9943(a,1),9975(a,1,1,2))]. given #9103 (H,wt=28): 9792 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(418(a,1),9782(a,1,1))]. given #9104 (H,wt=28): 9812 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(418(a,1),9807(a,1,2))]. given #9105 (H,wt=28): 9835 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(454(a,1),9831(a,1,2))]. given #9106 (H,wt=28): 9859 K(x,T((y \ z) \ 1,z) \ x) != u | K(x,y \ ((((y \ z) \ 1) \ y) * x)) = u. [para(9854(a,2),6476(a,1,2,1))]. given #9107 (H,wt=25): 10048 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(9859,a,8214,a),flip(a)]. given #9108 (H,wt=25): 10049 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(199,a,8518,a(flip),b,10048,a(flip)),flip(a)]. given #9109 (H,wt=23): 10050 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(51(a,1),10049(a,1,2,1))]. given #9110 (H,wt=21): 10051 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(199,a,8841,a(flip),b,10050,a),flip(a)]. given #9111 (H,wt=28): 9969 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(7817(a,1),9929(a,1,1,2))]. given #9112 (H,wt=28): 10009 K(x,T(y * (T(z,y) * u),L(u,z,y))) != w | K(x,L(u,z,y) * (z * y)) = w. [para(9998(a,1),9947(a,1,2,1))]. given #9113 (H,wt=28): 10027 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(101(a,1),10026(a,2,2))]. given #9114 (H,wt=28): 10040 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(9876(a,2),8442(a,1))]. given #9115 (H,wt=28): 10045 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(9422,a,9792,a)]. given #9116 (H,wt=20): 10052 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(199,a,9907,a(flip),b,10045,a(flip))]. given #9117 (H,wt=28): 10046 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(199,a,40,a,b,9812,a(flip)),flip(a)]. given #9118 (H,wt=28): 10047 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(199,a,42,a,b,9835,a(flip)),flip(a)]. given #9119 (H,wt=28): 10054 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(8732(a,1),10046(a,1,1))]. given #9120 (H,wt=20): 10056 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(9809(a,1),10054(a,1,1)),flip(a)]. given #9121 (H,wt=28): 10055 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(199,a,3940,a(flip),b,10047,a)]. given #9122 (H,wt=28): 10059 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(199,a,42,a,b,10055,a)]. given #9123 (H,wt=28): 10060 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(9914(a,1),10059(a,1,1))]. given #9124 (H,wt=20): 10061 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),10060(a,1,1,2,2)),flip(a)]. given #9125 (H,wt=17): 10062 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(503,a,10061,a),flip(a)]. given #9126 (H,wt=17): 10064 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(199,a,919,a(flip),b,10062,a(flip)),flip(a)]. given #9127 (H,wt=17): 10066 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(63(a,1),10064(a,1,1,1)),flip(a)]. given #9128 (H,wt=19): 10065 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),10062(a,1,1,2)),flip(a)]. given #9129 (H,wt=21): 10071 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(10066(a,1),6526(a,1,2,1)),flip(a)]. given #9130 (H,wt=24): 10072 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1501(a,1),10065(a,1,1)),flip(a)]. given #9131 (H,wt=21): 10073 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(199,a,161,a(flip),b,10072,a)]. given #9132 (H,wt=21): 10074 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),10073(a,2,1))]. given #9133 (H,wt=20): 10075 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(199,a,611,a(flip),b,10074,a)]. given #9134 (H,wt=25): 10076 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(10075(a,1),4609(a,1,1))]. given #9135 (H,wt=20): 10077 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(4859,a,10076,a),flip(a)]. given #9136 (H,wt=20): 10078 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(7411,a,10077,a)]. given #9137 (H,wt=20): 10079 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(199,a,9089,a,b,10078,a)]. given #9138 (H,wt=29): 10057 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10056(a,1),5073(a,1,2,1))]. given #9139 (H,wt=20): 10080 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(199,a,5121,a(flip),b,10057,a(flip))]. given #9140 (H,wt=29): 10063 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(10061(a,1),5083(a,1,2,1))]. given #9141 (H,wt=20): 10082 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5809,a,10063,a),flip(a)]. given #9142 (H,wt=23): 10083 K(R(x,y,z) \ u,R(x,y,z)) != w | K(x \ u,R(x,y,z)) = w. [para(10063(a,1),5809(a,1))]. given #9143 (H,wt=30): 9830 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(9810(a,1),1197(a,1,2,2))]. given #9144 (H,wt=28): 10086 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(105(a,1),9830(a,1,1,1))]. given #9145 (H,wt=19): 10087 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1464,a,10086,a),flip(a)]. given #9146 (H,wt=17): 10088 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(105(a,1),10087(a,1,2))]. given #9147 (H,wt=14): 10089 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(6861,a,10088,a),flip(a)]. given #9148 (H,wt=22): 10091 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10089(a,1),6381(a,1,1))]. given #9149 (H,wt=20): 10092 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(8442,a,10091,a),flip(a)]. given #9150 (H,wt=17): 10093 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10092(a,1),9681(a,1,1))]. given #9151 (H,wt=14): 10094 L(K(x,x * y),y,z) = K(x,x * y). [para(8341(a,1),10093(a,1,1))]. given #9152 (H,wt=15): 10097 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(199,a,9678,a(flip),b,10094,a(flip)),flip(a)]. given #9153 (H,wt=15): 10098 K(x,y \ ((y * z) * x)) = K(x,x * z). [hyper(199,a,9677,a(flip),b,10094,a(flip)),flip(a)]. given #9154 (H,wt=15): 10101 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(7933,a,10097,a)]. given #9155 (H,wt=15): 10107 K(x,y \ ((y * z) * x)) = K(x,z * x). [hyper(199,a,5255,a,b,10098,a)]. given #9156 (H,wt=14): 10108 L(K(x,y * x),y,z) = K(x,y * x). [hyper(199,a,9679,a,b,10107,a(flip)),flip(a)]. given #9157 (H,wt=10): 10110 a(x,y,K(z,y * z)) = 1. [hyper(67,a,10108,a,b,8998,a),flip(a)]. given #9158 (H,wt=10): 10111 a(x,y,K(y * z,z)) = 1. [hyper(67,a,10108,a(flip),b,8988,a),flip(a)]. given #9159 (H,wt=10): 10113 a(x,y,K(z,y \ z)) = 1. [para(14(a,1),10111(a,1,3,1))]. given #9160 (H,wt=14): 10112 L(K(x * y,y),x,z) = K(x * y,y). [hyper(33,a,10111,a)]. given #9161 (H,wt=14): 10114 L(K(x * y,y),x,z) = K(y * x,y). [hyper(199,a,5337,a(flip),b,10112,a)]. given #9162 (H,wt=14): 10116 L(K(x * y,x),y,z) = K(x * y,x). [para(5337(a,1),10114(a,1,1))]. given #9163 (H,wt=15): 10115 K(x \ (y * (x * z)),y) = K(z * y,y). [hyper(199,a,9673,a(flip),b,10112,a(flip)),flip(a)]. given #9164 (H,wt=15): 10117 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(199,a,9668,a(flip),b,10116,a(flip)),flip(a)]. given #9165 (H,wt=15): 10120 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(7968,a,10117,a)]. given #9166 (H,wt=15): 10121 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(7400,a,10117,a)]. given #9167 (H,wt=16): 10126 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(10120(a,1),6053(a,1))]. given #9168 (H,wt=16): 10127 K(x * (1 / y),x) != z | K(y \ x,x) = z. [para(5174(a,2),10126(a,1))]. given #9169 (H,wt=16): 10128 K(x * y,x) != z | K((y \ 1) \ x,x) = z. [para(5184(a,1),10126(a,1))]. given #9170 (H,wt=17): 10096 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(7068,a,10094,a)]. given #9171 (H,wt=18): 10105 K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. [para(10097(a,1),6409(a,1))]. given #9172 (H,wt=18): 10124 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(10117(a,1),7967(a,1))]. given #9173 (H,wt=19): 10100 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(9658,a,10097,a)]. given #9174 (H,wt=19): 10119 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(9666,a,10117,a)]. given #9175 (H,wt=19): 10129 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10096(a,1),4652(a,2,2))]. given #9176 (H,wt=20): 10131 T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. [para(10129(a,2),4655(a,1))]. given #9177 (H,wt=22): 10125 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(10117(a,1),9174(a,1,2))]. given #9178 (H,wt=18): 10132 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(10125(a,1),9198(a,1))]. given #9179 (H,wt=23): 10104 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10097(a,1),6381(a,1,1))]. given #9180 (H,wt=21): 10133 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(8442,a,10104,a),flip(a)]. given #9181 (H,wt=21): 10134 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(8977,a,10133,a)]. given #9182 (H,wt=24): 10135 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(199,a,9624,a(flip),b,10134,a(flip))]. given #9183 (H,wt=28): 10123 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(10117(a,1),5410(a,1,1,1,2))]. given #9184 (H,wt=21): 10136 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(199,a,5410,a(flip),b,10123,a(flip))]. given #9185 (H,wt=21): 10137 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(199,a,6407,a,b,10136,a(flip)),flip(a)]. given #9186 (H,wt=30): 10012 K(x,K(y,(y / z) * u)) * K(x,L(z \ u,z,z \ y)) = K(x,((y / z) * u) / y). [para(10007(a,2),8112(a,1,2,2))]. given #9187 (H,wt=31): 9748 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(1192(a,1),9746(a,1,1,1)),flip(a)]. given #9188 (H,wt=28): 10138 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(199,a,10052,a(flip),b,9748,a(flip)),flip(a)]. given #9189 (H,wt=24): 10139 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(199,a,10037,a(flip),b,10138,a(flip)),flip(a)]. given #9190 (H,wt=24): 10140 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(199,a,10120,a(flip),b,10139,a(flip)),flip(a)]. given #9191 (H,wt=24): 10141 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(199,a,9077,a(flip),b,10140,a)]. given #9192 (H,wt=24): 10142 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(7411,a,10141,a)]. given #9193 (H,wt=31): 9749 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(4342(a,1),9747(a,1,1,2,1))]. given #9194 (H,wt=28): 10143 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(199,a,10052,a(flip),b,9749,a(flip)),flip(a)]. given #9195 (H,wt=24): 10144 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(199,a,10037,a(flip),b,10143,a(flip)),flip(a)]. given #9196 (H,wt=22): 10145 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(199,a,6329,a(flip),b,10144,a(flip)),flip(a)]. given #9197 (H,wt=22): 10146 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7411,a,10145,a)]. given #9198 (H,wt=22): 10147 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(199,a,8978,a(flip),b,10146,a)]. given #9199 (H,wt=20): 10148 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(51(a,1),10147(a,2,1))]. given #9200 (H,wt=21): 10149 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(199,a,10142,a(flip),b,10148,a(flip)),flip(a)]. given #9201 (H,wt=21): 10151 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(199,a,9077,a,b,10149,a(flip)),flip(a)]. given #9202 (H,wt=21): 10152 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(199,a,8976,a,b,10149,a(flip)),flip(a)]. given #9203 (H,wt=21): 10154 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(199,a,8978,a,b,10152,a(flip)),flip(a)]. given #9204 (H,wt=22): 10153 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(199,a,8272,a(flip),b,10149,a(flip))]. given #9205 (H,wt=31): 10069 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5414(a,1),10064(a,2,1))]. given #9206 (H,wt=26): 10155 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(199,a,5899,a(flip),b,10069,a)]. given #9207 (H,wt=24): 10156 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(5897(a,1),10155(a,1,1)),flip(a)]. given #9208 (H,wt=31): 10081 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(10080(a,1),9176(a,1,2)),flip(a)]. given #9209 (H,wt=31): 10085 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(10082(a,1),4585(a,1,1,2))]. given #9210 (H,wt=28): 10158 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(5405(a,1),10085(a,1,1))]. given #9211 (H,wt=28): 10159 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(199,a,42,a,b,10158,a(flip)),flip(a)]. given #9212 (H,wt=25): 10160 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4585(a,1),10159(a,1,1)),flip(a)]. given #9213 (H,wt=25): 10161 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(199,a,44,a(flip),b,10160,a)]. given #9214 (H,wt=32): 9756 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(199,a,4110,a(flip),b,9712,a(flip)),flip(a)]. given #9215 (H,wt=26): 10163 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(199,a,5449,a(flip),b,9756,a(flip))]. given #9216 (H,wt=20): 10166 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(199,a,5449,a(flip),b,10163,a(flip))]. given #9217 (H,wt=24): 10165 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(199,a,7537,a(flip),b,10163,a(flip)),flip(a)]. given #9218 (H,wt=32): 10130 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10119(a,1),5411(a,1,1,1,2))]. given #9219 (H,wt=25): 10168 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6301,a,10130,a),flip(a)]. given #9220 (H,wt=28): 10169 K(L(x,y,z),(u * (x \ w)) \ v5) != v6 | K(L(x,y,z),x * ((u * w) \ v5)) = v6. [para(10130(a,1),6301(a,1))]. given #9221 (H,wt=33): 9643 (((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(199,a,6228,a(flip),b,9620,a)]. given #9222 (H,wt=33): 9733 K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). [para(2773(a,1),9727(a,2,1))]. given #9223 (H,wt=23): 10171 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(2889(a,1),9733(a,1,1)),flip(a)]. given #9224 (H,wt=23): 10172 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(199,a,5175,a,b,10171,a)]. given #9225 (H,wt=23): 10173 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(5812,a,10172,a)]. given #9226 (H,wt=27): 10174 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10173(a,1),4796(a,2,2))]. given #9227 (H,wt=25): 10175 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(9805(a,1),10174(a,2,2))]. given #9228 (H,wt=21): 10176 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(9872(a,1),10175(a,2,2))]. given #9229 (H,wt=19): 10177 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(199,a,2315,a(flip),b,10176,a)]. given #9230 (H,wt=25): 10178 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(60(a,1),10177(a,1,1))]. given #9231 (H,wt=21): 10179 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(60(a,1),10178(a,1,2,1)),flip(a)]. given #9232 (H,wt=19): 10180 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5109(a,1),10179(a,1,1))]. given #9233 (H,wt=33): 10170 ((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(6018(a,1),9643(a,1,1,1))]. given #9234 (H,wt=33): 10181 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(10180(a,2),2035(a,1,2))]. given #9235 (H,wt=29): 10184 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(199,a,8640,a(flip),b,10181,a(flip)),flip(a)]. given #9236 (H,wt=29): 10185 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2716(a,2),10184(a,2,1))]. given #9237 (H,wt=28): 10186 T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | (x / ((x \ y) \ 1)) / x = z. [para(10185(a,2),253(a,1)),flip(b)]. given #9238 (H,wt=33): 10183 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(1761(a,2),10170(a,1,1))]. given #9239 (H,wt=33): 10187 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(2964(a,1),10183(a,1,1,1,1,2))]. given #9240 (H,wt=25): 10188 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(8596(a,1),10187(a,1,1,1))]. given #9241 (H,wt=21): 10189 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(766,a,10188,a),flip(a)]. given #9242 (H,wt=21): 10191 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(2972(a,2),10189(a,1,1,2))]. given #9243 (H,wt=13): 10192 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(6456,a,10191,a)]. given #9244 (H,wt=34): 5314 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(240(a,2),5098(a,1,2,2,1))]. given #9245 (H,wt=29): 10193 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(396(a,1),5314(a,1,2))]. given #9246 (H,wt=25): 10194 K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. [para(163(a,1),10193(a,1,2,2))]. given #9247 (H,wt=23): 10195 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(4628(a,1),10194(a,1,2,2))]. given #9248 (H,wt=19): 10197 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(10195(a,1),7997(a,1,2,1)),flip(a)]. given #9249 (H,wt=21): 10198 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10195(a,1),8260(a,1,2)),flip(a)]. given #9250 (H,wt=19): 10201 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(199,a,9483,a(flip),b,10198,a(flip))]. given #9251 (H,wt=17): 10203 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(199,a,8548,a(flip),b,10201,a(flip))]. given #9252 (H,wt=21): 10204 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10203(a,1),4780(a,2,2,2))]. given #9253 (H,wt=20): 10205 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10204(a,2),4781(a,1))]. given #9254 (H,wt=19): 10206 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10205,a,9493,a),flip(a)]. given #9255 (H,wt=19): 10208 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5150,a,10206,a)]. given #9256 (H,wt=22): 10200 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(199,a,9504,a(flip),b,10197,a(flip)),flip(a)]. given #9257 (H,wt=22): 10210 K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). [para(4738(a,1),10200(a,1,2,2,1))]. given #9258 (H,wt=17): 10211 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),10210(a,2,2))]. given #9259 (H,wt=17): 10212 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(14(a,1),10211(a,1,2,2)),flip(a)]. given #9260 (H,wt=23): 10199 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10195(a,1),8787(a,1,2,2,1)),flip(a)]. given #9261 (H,wt=23): 10213 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10211(a,1),5009(a,1,2,2)),flip(a)]. given #9262 (H,wt=17): 10214 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(199,a,5009,a(flip),b,10213,a)]. given #9263 (H,wt=15): 10215 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4618(a,1),10214(a,1,1,2)),flip(a)]. given #9264 (H,wt=22): 10216 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(199,a,9569,a(flip),b,10215,a(flip)),flip(a)]. given #9265 (H,wt=26): 10196 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(10195(a,1),5020(a,1,2))]. given #9266 (H,wt=34): 5580 ((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(5579(a,1),93(a,1,2,2,1))]. given #9267 (H,wt=34): 6327 (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(6285(a,2),4777(a,1,1))]. given #9268 (H,wt=34): 6335 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6268(a,1),1208(a,2,2,1))]. given #9269 (H,wt=34): 9005 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(5594(a,1),8992(a,1,1))]. given #9270 (H,wt=30): 10219 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(5576(a,1),9005(a,1,2))]. given #9271 (H,wt=26): 10220 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(5594(a,1),10219(a,2,3))]. given #9272 (H,wt=34): 9606 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(4961(a,1),9605(a,1,2))]. given #9273 (H,wt=34): 9674 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(9670(a,1),7005(a,2,1))]. given #9274 (H,wt=34): 10010 ((x * y) * L(R(x \ (T(y,x) \ (z * x)),u,w),x,y)) / x = T(y,x) * R(T(y,x) \ z,u,w). [hyper(69,a,10003,a,b,1671,a(flip))]. given #9275 (H,wt=29): 10223 ((x * y) * R((x * y) \ (z * x),u,w)) / x = T(y,x) * R(T(y,x) \ z,u,w). [para(9887(a,1),10010(a,1,1,2))]. given #9276 (H,wt=29): 10224 (x * (y * R(y \ (x \ (z * x)),u,w))) / x = T(y,x) * R(T(y,x) \ z,u,w). [para(887(a,1),10223(a,1,1))]. given #9277 (H,wt=27): 10225 (x * (y * R(y \ T(z,x),u,w))) / x = T(y,x) * R(T(y,x) \ z,u,w). [para(32(a,2),10224(a,1,1,2,2,1,2))]. given #9278 (H,wt=25): 10226 T(x * R(x \ T(y,z),u,w),z) = T(x,z) * R(T(x,z) \ y,u,w). [hyper(266,a,10225,a)]. given #9279 (H,wt=34): 10217 (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(7716(a,1),6327(a,1,2,2))]. given #9280 (H,wt=34): 10218 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(1502(a,1),6335(a,1,2,2,1))]. given #9281 (H,wt=29): 10228 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(5732(a,1),10218(a,1,2,2,1,2))]. given #9282 (H,wt=25): 10229 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(4598(a,2),10228(a,1,2,2,1))]. given #9283 (H,wt=25): 10230 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7084(a,2),10229(a,1,2,2))]. given #9284 (H,wt=25): 10231 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [hyper(1497,a,10230,a),flip(a)]. given #9285 (H,wt=23): 10232 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [hyper(199,a,7499,a(flip),b,10231,a)]. given #9286 (H,wt=22): 10233 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(199,a,8182,a(flip),b,10232,a(flip)),flip(a)]. given #9287 (H,wt=21): 10234 T(x,T(y,z)) \ R(x,y,x) != u | K(y * x,T(x,z)) = u. [para(10233(a,1),7971(a,1))]. given #9288 (H,wt=18): 10235 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(10234,a,9182,a),flip(a)]. given #9289 (H,wt=20): 10237 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(10235(a,1),9215(a,1,1))]. given #9290 (H,wt=20): 10238 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(3025(a,1),10237(a,1,2))]. given #9291 (H,wt=18): 10239 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(7196,a,10238,a)]. given #9292 (H,wt=15): 10240 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(199,a,9461,a(flip),b,10239,a(flip)),flip(a)]. given #9293 (H,wt=15): 10243 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(199,a,4493,a(flip),b,10240,a(flip)),flip(a)]. given #9294 (H,wt=17): 10244 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(107(a,1),10243(a,1,2,1)),flip(a)]. given #9295 (H,wt=18): 10241 T(x,T(x * y,z)) * K(y,T(x,z)) = L(x,y,x). [para(4416(a,1),10239(a,1,1))]. given #9296 (H,wt=18): 10245 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(199,a,3027,a(flip),b,10241,a(flip)),flip(a)]. given #9297 (H,wt=22): 10236 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(7169(a,1),10235(a,1,1))]. given #9298 (H,wt=22): 10246 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [hyper(199,a,4541,a,b,10245,a)]. given #9299 (H,wt=20): 10248 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [hyper(5962,a,10246,a)]. given #9300 (H,wt=20): 10249 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(7160,a,10248,a)]. given #9301 (H,wt=22): 10247 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(9948(a,1),10245(a,1,1))]. given #9302 (H,wt=24): 10250 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10249(a,1),8374(a,1,2))]. given #9303 (H,wt=17): 10251 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(9515(a,1),10250(a,1,1,2))]. given #9304 (H,wt=34): 10221 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(5363,a,9606,a)]. given #9305 (H,wt=34): 10222 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(4738(a,1),9674(a,2,2,2))]. given #9306 (H,wt=32): 10253 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(7817(a,1),10222(a,2,2))]. given #9307 (H,wt=26): 10254 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(7098(a,1),10253(a,1,1)),flip(a)]. given #9308 (H,wt=25): 10255 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [hyper(9696,a,10254,a(flip)),flip(a)]. given #9309 (H,wt=21): 10256 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(10115(a,1),10255(a,1,1)),flip(a)]. given #9310 (H,wt=21): 10257 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [para(5337(a,1),10256(a,2,1))]. given #9311 (H,wt=17): 10259 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(199,a,7821,a(flip),b,10257,a)]. given #9312 (H,wt=17): 10260 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(14(a,1),10259(a,1,1,1,2)),flip(a)]. given #9313 (H,wt=17): 10261 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(199,a,5753,a,b,10260,a(flip)),flip(a)]. given #9314 (H,wt=20): 10262 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(199,a,10236,a,b,10261,a(flip)),flip(a)]. given #9315 (H,wt=20): 10263 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5037,a,10262,a)]. given #9316 (H,wt=20): 10264 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(199,a,5306,a,b,10263,a(flip)),flip(a)]. given #9317 (H,wt=22): 10265 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4094(a,2),10264(a,1,2))]. given #9318 (H,wt=24): 10266 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(3865(a,2),10265(a,1,2))]. given #9319 (H,wt=28): 10267 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(199,a,355,a(flip),b,10266,a(flip)),flip(a)]. given #9320 (H,wt=15): 10268 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(199,a,9231,a(flip),b,10267,a(flip)),flip(a)]. given #9321 (H,wt=15): 10269 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(15(a,1),10268(a,1,2,1)),flip(a)]. given #9322 (H,wt=34): 10227 (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(7084(a,2),10217(a,2,1,1))]. given #9323 (H,wt=32): 10271 (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(7170(a,1),10227(a,2,1))]. given #9324 (H,wt=25): 10272 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(199,a,8380,a(flip),b,10271,a)]. given #9325 (H,wt=33): 10275 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(5917(a,2),10272(a,1,1))]. given #9326 (H,wt=25): 10276 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7279(a,1),10275(a,1,2,2))]. given #9327 (H,wt=23): 10277 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(12(a,1),10276(a,1,2))]. given #9328 (H,wt=23): 10278 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5030,a,10277,a)]. given #9329 (H,wt=23): 10279 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(6446(a,1),10278(a,1,1))]. given #9330 (H,wt=21): 10280 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(199,a,6905,a(flip),b,10279,a)]. given #9331 (H,wt=15): 10281 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(199,a,6596,a(flip),b,10280,a(flip)),flip(a)]. given #9332 (H,wt=24): 10282 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(10281(a,1),5564(a,1,1,1,2))]. given #9333 (H,wt=22): 10283 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4652(a,2),10282(a,1,1,1))]. given #9334 (H,wt=18): 10284 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(5278,a,10283,a)]. given #9335 (H,wt=21): 10285 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(10284(a,1),9558(a,1,1))]. given #9336 (H,wt=34): 10252 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(7936,a,10221,a)]. given #9337 (H,wt=35): 4930 (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(4912(a,1),1646(a,1,1,2,2,1)),flip(a)]. given #9338 (H,wt=35): 5765 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(5760(a,1),5569(a,1,1,2,2))]. given #9339 (H,wt=28): 10288 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(5763(a,1),5765(a,1,1))]. given #9340 (H,wt=26): 10289 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(5760(a,1),10288(a,2,2))]. given #9341 (H,wt=19): 10290 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7591(a,1),10289(a,1,1,1))]. given #9342 (H,wt=19): 10291 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(10290(a,1),60(a,1,2))]. given #9343 (H,wt=19): 10293 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(3913,a,10291,a)]. given #9344 (H,wt=22): 10294 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(5762(a,1),10293(a,1,1))]. given #9345 (H,wt=22): 10295 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7084(a,2),10294(a,2,1))]. given #9346 (H,wt=35): 6211 (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(6210(a,1),502(a,1,2))]. given #9347 (H,wt=15): 10297 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(6211,a,8212,a)]. given #9348 (H,wt=13): 10298 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9170(a,1),10297(a,1,3))]. given #9349 (H,wt=19): 10299 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10298(a,1),350(a,1,1)),flip(a)]. given #9350 (H,wt=20): 10300 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10299(a,1),9193(a,1,1))]. given #9351 (H,wt=35): 6505 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(6013(a,1),6503(a,2,1))]. given #9352 (H,wt=32): 10302 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(199,a,7315,a(flip),b,6505,a)]. given #9353 (H,wt=27): 10303 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(234(a,1),10302(a,2,1,2))]. given #9354 (H,wt=13): 10304 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1463(a,1),10303(a,1,2)),flip(a)]. given #9355 (H,wt=11): 10305 a(x,L(y,z,u),K(w,y)) = 1. [hyper(67,a,10304,a,b,8998,a),flip(a)]. given #9356 (H,wt=19): 10306 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(199,a,6400,a(flip),b,10304,a(flip)),flip(a)]. given #9357 (H,wt=21): 10307 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(199,a,6368,a(flip),b,10304,a(flip))]. given #9358 (H,wt=35): 8303 (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(7453(a,1),4906(a,1,1,2))]. given #9359 (H,wt=33): 10308 (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(4626(a,1),8303(a,1,1))]. given #9360 (H,wt=21): 10309 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(597,a,10308,a),flip(a)]. given #9361 (H,wt=23): 10311 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4896(a,1),10309(a,1,2)),flip(a)]. given #9362 (H,wt=24): 10310 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(10308(a,1),597(a,1))]. given #9363 (H,wt=35): 8367 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5199(a,1),8356(a,1,1))]. given #9364 (H,wt=35): 8383 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(8377(a,1),4770(a,1,1,1))]. given #9365 (H,wt=35): 9337 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(9334(a,1),2590(a,1,1)),flip(a)]. given #9366 (H,wt=30): 10314 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(9334(a,1),9337(a,2,2,1,1))]. given #9367 (H,wt=28): 10315 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(4912(a,1),10314(a,2,2,1))]. given #9368 (H,wt=26): 10317 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4912(a,1),10315(a,1,1,2,1))]. given #9369 (H,wt=26): 10318 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(199,a,5027,a(flip),b,10317,a(flip)),flip(a)]. given #9370 (H,wt=30): 10320 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(10317(a,2),6646(a,1,1))]. given #9371 (H,wt=35): 9339 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)). [para(9303(a,1),4399(a,1,1,2,1)),flip(a)]. given #9372 (H,wt=31): 10323 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(199,a,6253,a(flip),b,9339,a)]. given #9373 (H,wt=35): 9455 (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(8494(a,2),9454(a,1,1))]. given #9374 (H,wt=35): 9613 x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. [para(9612(a,1),20(a,1)),flip(a)]. given #9375 (H,wt=35): 9875 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(4342(a,1),9730(a,1,2,2,1,2))]. given #9376 (H,wt=32): 10324 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(199,a,10080,a(flip),b,9875,a(flip)),flip(a)]. given #9377 (H,wt=28): 10325 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10040,a,10324,a)]. given #9378 (H,wt=28): 10326 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(199,a,10100,a(flip),b,10325,a(flip)),flip(a)]. given #9379 (H,wt=26): 10327 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),10326(a,1,2,2,1))]. given #9380 (H,wt=26): 10328 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(199,a,5502,a(flip),b,10327,a)]. given #9381 (H,wt=26): 10329 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(199,a,10168,a(flip),b,10328,a)]. given #9382 (H,wt=24): 10330 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),10329(a,2,2,2,1))]. given #9383 (H,wt=35): 9903 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(9900(a,1),3146(a,1,2)),flip(a)]. given #9384 (H,wt=33): 10331 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(199,a,4289,a(flip),b,9903,a)]. given #9385 (H,wt=33): 10332 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(199,a,1206,a(flip),b,10331,a)]. given #9386 (H,wt=25): 10333 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1949(a,1),10332(a,1,2))]. given #9387 (H,wt=21): 10334 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(68,a,4559,a(flip),b,10333,a)]. given #9388 (H,wt=35): 10157 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(32(a,2),10081(a,2,2,2))]. given #9389 (H,wt=33): 10335 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(7184(a,1),10157(a,2,2))]. given #9390 (H,wt=35): 10182 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10180(a,2),9591(a,2,1,1,2,1)),flip(a)]. given #9391 (H,wt=35): 10287 (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(199,a,6228,a(flip),b,4930,a)]. given #9392 (H,wt=35): 10296 ((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(7652(a,1),10295(a,2,1))]. given #9393 (H,wt=35): 10313 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(9374(a,1),8383(a,1,1))]. given #9394 (H,wt=35): 10336 (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(6228(a,1),10287(a,1,1))]. given #9395 (H,wt=33): 10339 (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(4912(a,1),10336(a,1,2,2,1)),flip(a)]. given #9396 (H,wt=25): 10340 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(199,a,8919,a(flip),b,10339,a)]. given #9397 (H,wt=25): 10341 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(6243,a,10340,a)]. given #9398 (H,wt=35): 10337 (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(4130(a,1),10296(a,1,1))]. given #9399 (H,wt=33): 10343 (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(7106(a,1),10337(a,1,1,2))]. given #9400 (H,wt=19): 10344 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8242,a,10343,a),flip(a)]. given #9401 (H,wt=13): 10346 R(K(x,y),L(y,z,u),w) = K(x,y). [para(8425(a,1),10344(a,1,1))]. given #9402 (H,wt=21): 10347 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(199,a,5844,a(flip),b,10346,a(flip)),flip(a)]. given #9403 (H,wt=21): 10349 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(199,a,6093,a(flip),b,10347,a)]. given #9404 (H,wt=25): 10350 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(199,a,9611,a,b,10349,a(flip)),flip(a)]. given #9405 (H,wt=24): 10351 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(10350(a,1),6167(a,1))]. given #9406 (H,wt=35): 10338 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(199,a,9346,a(flip),b,10313,a(flip))]. given #9407 (H,wt=35): 10352 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7141(a,1),10338(a,2,2,1))]. given #9408 (H,wt=33): 10353 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12(a,1),10352(a,2,2))]. given #9409 (H,wt=36): 5520 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(174(a,1),5516(a,1,1))]. given #9410 (H,wt=21): 10354 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(199,a,2126,a(flip),b,5520,a(flip))]. given #9411 (H,wt=36): 8179 L(K(x,((y \ 1) \ (y \ z)) \ u),u,y \ K(y,y \ z)) = K(x,(z / y) \ ((y \ K(y,y \ z)) * u)). [para(8097(a,1),6397(a,1,1,2,1))]. given #9412 (H,wt=36): 8188 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(8147(a,1),5415(a,1,1,1,2))]. given #9413 (H,wt=25): 10357 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6300,a,8188,a),flip(a)]. given #9414 (H,wt=36): 8951 (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). [hyper(199,a,252,a(flip),b,8919,a)]. given #9415 (H,wt=36): 9196 (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(9181(a,2),393(a,1,2,2))]. given #9416 (H,wt=36): 9353 (((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(9349(a,1),1520(a,1,1,1,1))]. given #9417 (H,wt=24): 10360 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),9353(a,1,1,1)),flip(a)]. given #9418 (H,wt=19): 10362 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(9338(a,1),10360(a,1,2,1)),flip(a)]. given #9419 (H,wt=34): 10364 ((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(10362(a,1),5580(a,1,2,2))]. given #9420 (H,wt=28): 10365 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(4967(a,1),10364(a,1,2)),flip(a)]. given #9421 (H,wt=24): 10366 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(199,a,4951,a(flip),b,10365,a)]. given #9422 (H,wt=16): 10368 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(199,a,5014,a(flip),b,10366,a)]. given #9423 (H,wt=14): 10370 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(5579(a,1),10368(a,1,2))]. given #9424 (H,wt=36): 9603 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(9048(a,1),9601(a,1,1))]. given #9425 (H,wt=36): 10162 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(10161(a,1),1082(a,1,1,1)),flip(a)]. given #9426 (H,wt=29): 10372 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(199,a,1082,a(flip),b,10162,a)]. given #9427 (H,wt=29): 10373 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(42(a,2),10372(a,2,3))]. given #9428 (H,wt=36): 10359 (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(1571(a,2),9196(a,1,2,2))]. given #9429 (H,wt=33): 10374 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),10359(a,1,2)),flip(a)]. given #9430 (H,wt=36): 10371 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3389(a,1),9603(a,1,1))]. given #9431 (H,wt=37): 3593 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3587(a,2),2218(a,1,1,1,1))]. given #9432 (H,wt=37): 4460 ((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(4359(a,1),2285(a,1))]. given #9433 (H,wt=37): 6108 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(5944(a,1),825(a,2,1,2))]. given #9434 (H,wt=31): 10376 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4649(a,1),6108(a,1,2,2,1))]. given #9435 (H,wt=29): 10378 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(5822(a,1),10376(a,1,2,2))]. given #9436 (H,wt=27): 10379 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(138,a,10378,a)]. given #9437 (H,wt=25): 10380 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(51(a,1),10379(a,2,1))]. given #9438 (H,wt=19): 10381 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(68,a,3031,a(flip),b,10380,a)]. given #9439 (H,wt=37): 6427 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5011(a,1),6259(a,2,2))]. given #9440 (H,wt=37): 6627 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(5299(a,1),6625(a,1,2,1))]. given #9441 (H,wt=31): 10383 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(199,a,10199,a(flip),b,6627,a(flip))]. given #9442 (H,wt=37): 9595 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(199,a,9087,a(flip),b,8849,a(flip)),flip(a)]. given #9443 (H,wt=37): 9852 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(9850(a,1),2187(a,1,2,1,1))]. given #9444 (H,wt=31): 10386 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1001(a,1),9852(a,2,1))]. given #9445 (H,wt=37): 9853 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(9850(a,2),2187(a,1,1))]. given #9446 (H,wt=27): 10387 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(199,a,10386,a(flip),b,9853,a(flip))]. given #9447 (H,wt=21): 10388 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1001(a,1),10387(a,1,1)),flip(a)]. given #9448 (H,wt=37): 10375 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3428(a,2),3593(a,1,1))]. given #9449 (H,wt=37): 10382 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(6363(a,1),6427(a,1,1,1))]. given #9450 (H,wt=37): 10385 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(199,a,10101,a(flip),b,9595,a(flip))]. given #9451 (H,wt=34): 10389 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(199,a,10330,a(flip),b,10385,a)]. given #9452 (H,wt=27): 10390 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(199,a,10135,a(flip),b,10389,a)]. given #9453 (H,wt=20): 10392 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2440(a,1),10390(a,1,2))]. given #9454 (H,wt=24): 10393 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(10392(a,1),6232(a,1,1,2)),flip(a)]. given #9455 (H,wt=20): 10394 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(199,a,6232,a(flip),b,10393,a)]. given #9456 (H,wt=31): 10395 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(10394(a,1),6185(a,1,1,2))]. given #9457 (H,wt=31): 10396 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(10137(a,1),10395(a,1,1,2))]. given #9458 (H,wt=29): 10397 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(51(a,1),10396(a,1,1,2,1,2))]. given #9459 (H,wt=26): 10398 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5409(a,1),10397(a,1,1))]. given #9460 (H,wt=26): 10399 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(199,a,40,a,b,10398,a(flip)),flip(a)]. given #9461 (H,wt=21): 10400 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5226(a,1),10399(a,1,1)),flip(a)]. given #9462 (H,wt=18): 10401 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4029,a,10400,a)]. given #9463 (H,wt=19): 10403 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(10401(a,1),7052(a,1,2))]. given #9464 (H,wt=20): 10404 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10216(a,1),10403(a,1))]. given #9465 (H,wt=23): 10402 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(10401(a,1),397(a,1,2))]. given #9466 (H,wt=16): 10405 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(392,a,10402,a),flip(a)]. given #9467 (H,wt=12): 10406 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(277,a,10405,a),flip(a)]. given #9468 (H,wt=17): 10408 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(199,a,4802,a,b,10406,a),flip(a)]. given #9469 (H,wt=21): 10411 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(10406(a,1),9267(a,1,2,2)),flip(a)]. given #9470 (H,wt=14): 10413 K(x * L(y,z,u),y) = K(y * x,y). [hyper(199,a,7225,a(flip),b,10411,a)]. given #9471 (H,wt=16): 10416 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(199,a,10306,a(flip),b,10413,a(flip)),flip(a)]. given #9472 (H,wt=14): 10418 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(199,a,5163,a(flip),b,10416,a)]. given #9473 (H,wt=17): 10415 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(199,a,9186,a,b,10413,a)]. given #9474 (H,wt=18): 10419 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(10351,a,10418,a)]. given #9475 (H,wt=18): 10420 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(199,a,10307,a(flip),b,10418,a(flip)),flip(a)]. given #9476 (H,wt=14): 10425 K(x \ (y * L(x,z,u)),x) = K(y,x). [hyper(199,a,4993,a(flip),b,10420,a)]. given #9477 (H,wt=14): 10426 K(x / L(y,z,u),y) = K(y \ x,y). [para(16(a,1),10425(a,1,1,2)),flip(a)]. given #9478 (H,wt=18): 10424 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(199,a,10121,a(flip),b,10420,a)]. given #9479 (H,wt=19): 10427 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(92(a,1),10424(a,1,1,2))]. given #9480 (H,wt=19): 10429 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(199,a,8513,a(flip),b,10427,a(flip)),flip(a)]. given #9481 (H,wt=20): 10422 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,y) = w. [para(10415(a,2),19(a,1))]. given #9482 (H,wt=22): 10430 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(199,a,10153,a,b,10429,a(flip)),flip(a)]. given #9483 (H,wt=23): 10428 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(7948,a,10427,a)]. given #9484 (H,wt=19): 10431 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(10124,a,10428,a(flip)),flip(a)]. given #9485 (H,wt=20): 10432 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(199,a,9050,a(flip),b,10431,a(flip)),flip(a)]. given #9486 (H,wt=15): 10433 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),10432(a,2,1))]. given #9487 (H,wt=15): 10434 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(10404,a,10433,a),flip(a)]. given #9488 (H,wt=13): 10435 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(9866,a,10434,a)]. given #9489 (H,wt=13): 10441 L(K(x,y),z,u) = K(L(y,z,u),x). [hyper(199,a,4738,a,b,10435,a)]. given #9490 (H,wt=13): 10442 L(K(x,y),z,u) = K(y,L(x,z,u)). [hyper(199,a,5777,a,b,10435,a(flip)),flip(a)]. given #9491 (H,wt=13): 10455 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(199,a,5777,a,b,10441,a(flip)),flip(a)]. given #9492 (H,wt=13): 10458 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(199,a,10441,a(flip),b,10442,a(flip)),flip(a)]. given #9493 (H,wt=15): 10437 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(8442,a,10435,a),flip(a)]. given #9494 (H,wt=15): 10438 L(K(x,y),y * z,u) = L(K(x,y),z,u). [hyper(199,a,8268,a,b,10435,a),flip(a)]. given #9495 (H,wt=15): 10440 L(K(x,y),z * y,u) = L(K(x,y),z,u). [hyper(199,a,6387,a,b,10435,a),flip(a)]. given #9496 (H,wt=15): 10459 L(K(x,y),z,u) * y = T(y,L(x,z,u)). [para(10442(a,2),4660(a,2,1)),flip(a)]. given #9497 (H,wt=15): 10462 L(K(x,y),x * z,u) = L(K(x,y),z,u). [hyper(199,a,8338,a,b,10455,a),flip(a)]. given #9498 (H,wt=15): 10463 L(K(x,y),x \ z,u) = L(K(x,y),z,u). [hyper(199,a,8339,a(flip),b,10455,a)]. given #9499 (H,wt=15): 10469 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(199,a,10458,a(flip),b,10437,a)]. given #9500 (H,wt=16): 10436 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(10434(a,1),9866(a,1))]. given #9501 (H,wt=16): 10450 L(K(x,y),z,u) != w | K(L(y,z,u),x) = w. [para(10435(a,2),4862(a,1))]. given #9502 (H,wt=16): 10456 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(10441(a,2),4862(a,1))]. given #9503 (H,wt=16): 10461 L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. [para(10442(a,2),4862(a,1))]. given #9504 (H,wt=16): 10474 K(L(x,y,z),u) != w | L(K(u,x),y,z) = w. [para(4738(a,1),10436(a,1))]. given #9505 (H,wt=16): 10477 L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(10442(a,2),10436(a,1))]. given #9506 (H,wt=16): 10478 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(10458(a,2),10436(a,1))]. given #9507 (H,wt=16): 10481 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(10455(a,1),10456(a,1))]. given #9508 (H,wt=17): 10439 L(K(x,y \ z),z,u) = L(K(x,y \ z),y,u). [hyper(199,a,6388,a,b,10435,a),flip(a)]. given #9509 (H,wt=17): 10443 L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). [para(40(a,1),10435(a,2,2))]. given #9510 (H,wt=17): 10452 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(10435(a,1),8986(a,1,2))]. given #9511 (H,wt=17): 10453 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(10435(a,1),8989(a,1,1))]. given #9512 (H,wt=15): 10487 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(199,a,8999,a(flip),b,10453,a(flip)),flip(a)]. given #9513 (H,wt=17): 10457 T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). [para(10441(a,2),5271(a,1,2))]. given #9514 (H,wt=17): 10465 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(10455(a,1),8983(a,1,2))]. given #9515 (H,wt=15): 10491 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(199,a,8993,a(flip),b,10465,a(flip)),flip(a)]. given #9516 (H,wt=17): 10466 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [para(10455(a,1),8998(a,1,1))]. given #9517 (H,wt=17): 10471 L(K(x * y,x),y,z) != u | K(x * y,x) = u. [para(10438(a,1),6028(a,1))]. given #9518 (H,wt=17): 10472 L(K(x,x * y),y,z) != u | K(x,x * y) = u. [para(10462(a,1),7397(a,1))]. given #9519 (H,wt=17): 10473 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),10469(a,1,2,2))]. given #9520 (H,wt=17): 10493 a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). [para(14(a,1),10491(a,1,2))]. given #9521 (H,wt=18): 10444 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(10435(a,1),92(a,1,2))]. given #9522 (H,wt=18): 10445 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(198(a,1),10435(a,2,2))]. given #9523 (H,wt=18): 10460 L(K(x,y),z,u) * y != w | T(y,L(x,z,u)) = w. [para(10442(a,2),4661(a,1,1))]. given #9524 (H,wt=18): 10464 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(407(a,1),10455(a,2,1))]. given #9525 (H,wt=18): 10467 L(K(x,y),x \ z,u) != w | L(K(x,y),z,u) = w. [para(10455(a,2),9866(a,1))]. given #9526 (H,wt=18): 10497 K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. [para(9668(a,1),10471(a,1))]. given #9527 (H,wt=18): 10498 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(9678(a,1),10472(a,1))]. given #9528 (H,wt=18): 10502 K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. [para(6378(a,2),10497(a,1))]. given #9529 (H,wt=18): 10503 K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. [para(6512(a,2),10497(a,1))]. given #9530 (H,wt=18): 10504 K((x \ y) \ z,x) != u | K(x * (y \ z),x) = u. [para(7966(a,2),10497(a,1))]. given #9531 (H,wt=18): 10506 K(x,y \ (x * z)) != u | K(x,x * (y \ z)) = u. [para(7432(a,1),10498(a,1))]. given #9532 (H,wt=19): 10451 K(x,L(T(y \ z,z),u,w)) = L(K(x,z / y),u,w). [para(7009(a,1),10435(a,1,1)),flip(a)]. given #9533 (H,wt=19): 10488 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(10453(a,1),4626(a,1,2)),flip(a)]. given #9534 (H,wt=19): 10489 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7716(a,2),10487(a,1,3))]. given #9535 (H,wt=20): 10446 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(409(a,1),10435(a,2,2))]. given #9536 (H,wt=20): 10476 K(x,K(y,L(z,u,w))) != v5 | L(K(x,K(y,z)),u,w) = v5. [para(8133(a,1),10436(a,1))]. given #9537 (H,wt=20): 10479 L(K(x,K(y,z)),u,w) != v5 | K(L(K(x,y),u,w),z) = v5. [para(7716(a,2),10450(a,1,1))]. given #9538 (H,wt=20): 10482 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(7716(a,2),10478(a,1))]. given #9539 (H,wt=20): 10486 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(10452(a,1),6256(a,1,1)),flip(b)]. given #9540 (H,wt=18): 10508 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(8993(a,1),10486(a,1))]. given #9541 (H,wt=20): 10495 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(10466(a,1),5019(a,1,2)),flip(b)]. given #9542 (H,wt=21): 10454 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(10435(a,1),8991(a,1,2))]. given #9543 (H,wt=21): 10484 L(K(x,y \ (z \ u)),y,z) != w | K(x,(z * y) \ u) = w. [para(10439(a,1),6551(a,1))]. given #9544 (H,wt=21): 10494 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(10491(a,1),9062(a,2,2))]. given #9545 (H,wt=21): 10500 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(10444(a,1),4655(a,1))]. given #9546 (H,wt=21): 10509 L(K(x,y \ z),y,u) != w | K(x,(u * y) \ (u * z)) = w. [para(13(a,1),10484(a,1,1,2,2))]. given #9547 (H,wt=22): 10447 L(K(x,T(y,z) \ u),T(y,z),z) = K(x,(y * z) \ (z * u)). [para(413(a,1),10435(a,2,2))]. given #9548 (H,wt=20): 10511 L(K(x,T(y,z) \ u),y,z) = K(x,(y * z) \ (z * u)). [hyper(10014,a,10447,a)]. given #9549 (H,wt=22): 10468 (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. [para(10458(a,1),6264(a,1,2))]. given #9550 (H,wt=19): 10512 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(10468,a,10454,a)]. given #9551 (H,wt=22): 10485 L(K(x,T(y \ z,u * y)),y,u) = K(x,(u * z) / (u * y)). [hyper(199,a,7300,a(flip),b,10443,a)]. given #9552 (H,wt=22): 10496 T(x,L(y,z,u)) * K(y,x) != w | x * a(u,z,K(y,x)) = w. [para(10466(a,1),5091(a,1,2))]. given #9553 (H,wt=22): 10507 L(K(x,y / (z \ u)),z \ u,z) = K(x,T(u \ (z * y),y)). [para(649(a,1),10451(a,1,2)),flip(a)]. given #9554 (H,wt=23): 10480 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(6389(a,2),10456(a,1))]. given #9555 (H,wt=23): 10483 L(K(x,(y \ z) \ u),y \ z,y) != w | K(x,z \ (y * u)) = w. [para(10439(a,1),6475(a,1))]. given #9556 (H,wt=23): 10492 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(8124(a,1),10465(a,1,2))]. given #9557 (H,wt=24): 10490 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [hyper(340,a,10457,a),flip(a)]. given #9558 (H,wt=24): 10505 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(1195(a,1),10498(a,1,2))]. given #9559 (H,wt=24): 10515 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(10480,a,8871,a)]. given #9560 (H,wt=24): 10517 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(5771(a,1),10490(a,1,1))]. given #9561 (H,wt=24): 10518 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(199,a,10154,a(flip),b,10515,a(flip)),flip(a)]. given #9562 (H,wt=24): 10519 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(199,a,6450,a(flip),b,10517,a)]. given #9563 (H,wt=24): 10520 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(10519(a,1),47(a,1,1))]. given #9564 (H,wt=25): 10421 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(10418(a,1),8929(a,1,1,2))]. given #9565 (H,wt=21): 10521 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(4993(a,1),10421(a,1,1,2)),flip(a)]. given #9566 (H,wt=19): 10522 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(199,a,5939,a(flip),b,10521,a)]. given #9567 (H,wt=19): 10523 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1191(a,1),10522(a,1,1))]. given #9568 (H,wt=23): 10524 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(10523(a,1),9070(a,2,2))]. given #9569 (H,wt=23): 10525 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(199,a,5956,a(flip),b,10524,a)]. given #9570 (H,wt=25): 10448 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(10435(a,1),389(a,1,2,2))]. given #9571 (H,wt=26): 10501 (x * y) * K(z,(x * y) \ u) != w | x * (y * K(z,y \ (x \ u))) = w. [para(10445(a,1),218(a,1,2))]. given #9572 (H,wt=21): 10526 x * (y * K(z,y \ (x \ y))) = K(z,x \ 1) * (x * y). [hyper(10501,a,7512,a)]. given #9573 (H,wt=19): 10527 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(7513(a,1),10526(a,1,2)),flip(a)]. given #9574 (H,wt=19): 10528 x \ (K(y,x \ 1) * z) = K(y,x \ 1) * (x \ z). [hyper(499,a,10527,a)]. given #9575 (H,wt=26): 10516 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(10492(a,1),4839(a,1))]. given #9576 (H,wt=27): 10475 K(x,y \ (T(z,z \ y) * u)) != w | L(K(x,(y / z) \ u),z \ y,z) = w. [para(5818(a,1),10436(a,1,2))]. given #9577 (H,wt=29): 10412 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(10079(a,1),10408(a,1,1,2))]. given #9578 (H,wt=26): 10531 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5405(a,1),10412(a,1,1))]. given #9579 (H,wt=26): 10532 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5337(a,1),10531(a,1,1,1,2))]. given #9580 (H,wt=26): 10533 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(199,a,42,a,b,10532,a(flip)),flip(a)]. given #9581 (H,wt=21): 10534 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5226(a,1),10533(a,1,1)),flip(a)]. given #9582 (H,wt=18): 10535 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(199,a,10406,a(flip),b,10534,a(flip)),flip(a)]. given #9583 (H,wt=23): 10536 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(10535(a,1),433(a,1,1)),flip(a)]. given #9584 (H,wt=20): 10537 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(199,a,101,a(flip),b,10536,a)]. given #9585 (H,wt=26): 10538 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(9466(a,1),10537(a,1,1,1)),flip(a)]. given #9586 (H,wt=29): 10449 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(10435(a,1),1202(a,1,2,1))]. given #9587 (H,wt=29): 10539 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(5008(a,1),10449(a,1,2))]. given #9588 (H,wt=29): 10540 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(10458(a,1),10539(a,1,2,1))]. given #9589 (H,wt=27): 10541 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4669(a,1),10540(a,1,2))]. given #9590 (H,wt=25): 10542 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(10488(a,1),10541(a,1,2)),flip(a)]. given #9591 (H,wt=30): 10499 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(9865(a,1),10473(a,2,2))]. given #9592 (H,wt=30): 10510 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(10494(a,1),8723(a,2,2))]. given #9593 (H,wt=28): 10544 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(10525(a,1),10510(a,1,2))]. given #9594 (H,wt=23): 10545 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(8558,a,10544,a),flip(a)]. given #9595 (H,wt=23): 10546 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(10458(a,1),10545(a,2,1))]. given #9596 (H,wt=19): 10547 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(199,a,10453,a(flip),b,10546,a)]. given #9597 (H,wt=15): 10548 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(254,a,10547,a),flip(a)]. given #9598 (H,wt=15): 10550 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),10548(a,1,3,1)),flip(a)]. given #9599 (H,wt=15): 10551 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4919(a,1),10548(a,1,3)),flip(a)]. given #9600 (H,wt=17): 10552 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(4921(a,1),10548(a,1,3)),flip(a)]. given #9601 (H,wt=19): 10553 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(9744(a,2),10548(a,1,3))]. given #9602 (H,wt=23): 10554 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(10550(a,2),9380(a,1,1))]. given #9603 (H,wt=15): 10556 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(9383,a,10554,a)]. given #9604 (H,wt=15): 10557 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),10556(a,1,3,2)),flip(a)]. given #9605 (H,wt=15): 10559 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(199,a,10552,a,b,10557,a(flip)),flip(a)]. given #9606 (H,wt=15): 10560 a(x,y,K(z,u \ z)) = a(x,y,K(z,u)). [para(4738(a,1),10559(a,2,3))]. given #9607 (H,wt=17): 10558 a(x,y,K(z,u \ 1)) = a(x,y,K(z,u \ z)). [para(5203(a,1),10556(a,1,3)),flip(a)]. given #9608 (H,wt=15): 10561 a(x,y,K(z,u \ 1)) = a(x,y,K(z,u)). [hyper(199,a,10560,a(flip),b,10558,a)]. given #9609 (H,wt=15): 10562 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [para(4738(a,1),10561(a,1,3))]. given #9610 (H,wt=30): 10543 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(199,a,10151,a(flip),b,10499,a(flip))]. given #9611 (H,wt=27): 10563 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(199,a,10430,a(flip),b,10543,a)]. given #9612 (H,wt=24): 10564 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(10480,a,10563,a)]. given #9613 (H,wt=24): 10565 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(199,a,10151,a(flip),b,10564,a(flip)),flip(a)]. given #9614 (H,wt=19): 10566 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(199,a,10518,a(flip),b,10565,a(flip)),flip(a)]. given #9615 (H,wt=17): 10567 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),10566(a,2,1,2))]. given #9616 (H,wt=17): 10568 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(10503,a,10567,a)]. given #9617 (H,wt=31): 10555 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(10551(a,1),10542(a,2,2,2))]. given #9618 (H,wt=29): 10570 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(199,a,4947,a(flip),b,10555,a)]. given #9619 (H,wt=36): 10514 L(K(x,T(y \ z,y * T(u,w))),y,T(T(u,y),w)) = K(x,(T(T(u,y),w) * z) / (T(T(u,y),w) * y)). [para(189(a,1),10485(a,1,1,2,2))]. given #9620 (H,wt=37): 10569 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(10568(a,1),10285(a,1,1,2,2))]. given #9621 (H,wt=38): 5064 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(4845(a,1),3172(a,2,2,2))]. given #9622 (H,wt=29): 10571 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5721(a,1),5064(a,1,1,2,1)),flip(a)]. given #9623 (H,wt=27): 10572 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(4912(a,1),10571(a,2,1,2))]. given #9624 (H,wt=19): 10574 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6215(a,1),10572(a,2,1))]. given #9625 (H,wt=19): 10575 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(79,a,10574,a)]. given #9626 (H,wt=33): 10576 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(10575(a,1),2917(a,1,1,1)),flip(a)]. given #9627 (H,wt=29): 10577 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5691(a,1),10576(a,2,1))]. given #9628 (H,wt=29): 10578 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5530(a,1),10577(a,1,2,2))]. given #9629 (H,wt=25): 10579 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(4743(a,1),10578(a,1,2))]. given #9630 (H,wt=23): 10580 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(6932(a,1),10579(a,1,2)),flip(a)]. given #9631 (H,wt=21): 10581 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(7635,a,10580,a(flip)),flip(a)]. given #9632 (H,wt=38): 5808 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4954(a,1),411(a,1,1))]. given #9633 (H,wt=34): 10585 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4669(a,1),5808(a,1,2))]. given #9634 (H,wt=38): 8024 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(6989(a,1),915(a,1,1,2))]. given #9635 (H,wt=33): 10587 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(161(a,1),8024(a,1,1)),flip(a)]. given #9636 (H,wt=33): 10588 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(4738(a,1),10587(a,2,1,1,2))]. given #9637 (H,wt=33): 10589 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(199,a,40,a,b,10588,a)]. given #9638 (H,wt=26): 10590 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(199,a,8375,a(flip),b,10589,a(flip))]. given #9639 (H,wt=19): 10591 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(9299,a,10590,a),flip(a)]. given #9640 (H,wt=19): 10593 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(342,a,10591,a)]. given #9641 (H,wt=19): 10595 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(4738(a,1),10591(a,1,1,2))]. given #9642 (H,wt=19): 10597 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(199,a,10591,a(flip),b,10593,a(flip))]. given #9643 (H,wt=19): 10598 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(1914(a,1),10593(a,2,2))]. given #9644 (H,wt=19): 10599 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [para(1914(a,1),10595(a,2,2))]. given #9645 (H,wt=21): 10602 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4735,a,10597,a)]. given #9646 (H,wt=19): 10604 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [hyper(17,a,4685,a(flip),b,10602,a),flip(a)]. given #9647 (H,wt=19): 10606 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [para(1914(a,1),10604(a,1,1))]. given #9648 (H,wt=19): 10607 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(1914(a,1),10604(a,2,2))]. given #9649 (H,wt=19): 10608 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(4862,a,10606,a),flip(a)]. given #9650 (H,wt=22): 10605 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(10602(a,1),4655(a,1))]. given #9651 (H,wt=22): 10609 K(x,K(y,z) * K(u,y)) != w | K(x,K(z,y) * K(y,u)) = w. [para(10606(a,1),4862(a,1))]. given #9652 (H,wt=22): 10611 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(10593(a,2),10605(a,1))]. given #9653 (H,wt=23): 10603 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(10598(a,1),8954(a,1,1))]. given #9654 (H,wt=21): 10612 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4673,a,10603,a),flip(a)]. given #9655 (H,wt=21): 10614 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(199,a,10606,a(flip),b,10612,a)]. given #9656 (H,wt=21): 10616 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(199,a,4738,a,b,10614,a)]. given #9657 (H,wt=21): 10618 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(4738(a,1),10614(a,1,1,2))]. given #9658 (H,wt=21): 10621 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(199,a,10608,a(flip),b,10618,a)]. given #9659 (H,wt=24): 10613 K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(z,y) * K(y,u),x) = w. [para(10603(a,1),4673(a,1))]. given #9660 (H,wt=24): 10619 K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(y,z) * K(u,y),x) = w. [para(10614(a,2),4862(a,1))]. given #9661 (H,wt=24): 10620 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(10616(a,2),4862(a,1))]. given #9662 (H,wt=22): 10623 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(10612(a,1),10620(a,1))]. given #9663 (H,wt=24): 10622 K(x,K(y,z)) * K(x,K(z,u)) != w | K(x,K(y,z) * K(z,u)) = w. [para(10618(a,2),10609(a,1))]. given #9664 (H,wt=25): 10596 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(8663,a,10593,a)]. given #9665 (H,wt=25): 10601 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(10595(a,1),9421(a,2,1))]. given #9666 (H,wt=23): 10625 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(199,a,4592,a,b,10601,a)]. given #9667 (H,wt=23): 10626 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5008(a,1),10625(a,1,2))]. given #9668 (H,wt=25): 10624 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(199,a,10599,a(flip),b,10596,a(flip))]. given #9669 (H,wt=25): 10628 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(10605,a,10624,a)]. given #9670 (H,wt=26): 10627 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(10626(a,2),4862(a,1))]. given #9671 (H,wt=27): 10600 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(8547(a,1),10595(a,1,1,2)),flip(a)]. given #9672 (H,wt=27): 10629 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(199,a,4652,a(flip),b,10628,a),flip(a)]. given #9673 (H,wt=25): 10631 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(17,a,4652,a(flip),b,10629,a),flip(a)]. given #9674 (H,wt=27): 10630 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(8657(a,1),10600(a,2,1))]. given #9675 (H,wt=27): 10632 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(199,a,10591,a(flip),b,10630,a)]. given #9676 (H,wt=25): 10633 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(8547(a,1),10632(a,1,2,2))]. given #9677 (H,wt=25): 10634 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(199,a,10597,a,b,10633,a),flip(a)]. given #9678 (H,wt=29): 10610 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(69,a,10607,a,b,4597,a(flip))]. given #9679 (H,wt=29): 10617 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(199,a,9361,a,b,10614,a(flip)),flip(a)]. given #9680 (H,wt=29): 10635 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(199,a,8384,a(flip),b,10610,a(flip)),flip(a)]. given #9681 (H,wt=29): 10636 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(7732(a,1),10617(a,1,2,2,2))]. given #9682 (H,wt=21): 10638 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5309,a,10636,a)]. given #9683 (H,wt=21): 10639 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7732(a,1),10638(a,1,1))]. given #9684 (H,wt=29): 10637 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(199,a,6212,a(flip),b,10635,a(flip)),flip(a)]. given #9685 (H,wt=23): 10640 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(1912(a,1),10637(a,1,1)),flip(a)]. given #9686 (H,wt=21): 10641 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(199,a,11,a(flip),b,10640,a)]. given #9687 (H,wt=21): 10643 1 / T(K(x,y) * K(y,z),u) = T(K(z,y) * K(y,x),u). [para(1914(a,1),10641(a,2,1))]. given #9688 (H,wt=21): 10644 1 / T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u). [para(1914(a,2),10643(a,1,2,1))]. given #9689 (H,wt=24): 10645 T(K(x,y) * K(y,z),u) \ 1 != w | T(K(y,x) * K(z,y),u) = w. [para(10644(a,1),253(a,1,1)),flip(b)]. given #9690 (H,wt=32): 10615 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(5716(a,1),10612(a,1,2,2)),flip(a)]. given #9691 (H,wt=32): 10646 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(8452(a,1),10615(a,2,2))]. given #9692 (H,wt=30): 10647 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(199,a,10612,a(flip),b,10646,a)]. given #9693 (H,wt=25): 10648 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(5716(a,1),10647(a,1,1,2))]. given #9694 (H,wt=38): 8065 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(199,a,3192,a,b,7496,a)]. given #9695 (H,wt=38): 8392 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(8391(a,1),7231(a,1,1,2,1))]. given #9696 (H,wt=36): 10649 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9619(a,1),8392(a,1,1,2))]. given #9697 (H,wt=36): 10650 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(7706(a,1),10649(a,1,1))]. given #9698 (H,wt=36): 10651 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(42(a,2),10650(a,1,2))]. given #9699 (H,wt=34): 10652 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(186(a,1),10651(a,1,2,1))]. given #9700 (H,wt=34): 10653 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(199,a,8629,a(flip),b,10652,a(flip)),flip(a)]. given #9701 (H,wt=31): 10654 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(199,a,9300,a(flip),b,10653,a(flip)),flip(a)]. given #9702 (H,wt=29): 10656 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(199,a,8906,a(flip),b,10654,a(flip))]. given #9703 (H,wt=29): 10657 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7489(a,1),10656(a,2,2))]. given #9704 (H,wt=27): 10658 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(199,a,4079,a(flip),b,10657,a)]. given #9705 (H,wt=25): 10659 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(8391(a,1),10658(a,1,1,1))]. given #9706 (H,wt=23): 10660 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(9619(a,1),10659(a,1,1)),flip(a)]. given #9707 (H,wt=24): 10661 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(10660(a,1),5001(a,1))]. given #9708 (H,wt=38): 8761 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(8759(a,1),2608(a,1,1))]. given #9709 (H,wt=36): 10662 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(8759(a,1),8761(a,1,2,1,1)),flip(a)]. given #9710 (H,wt=33): 10663 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(199,a,2608,a(flip),b,10662,a)]. given #9711 (H,wt=27): 10665 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1001(a,1),10663(a,2,1))]. given #9712 (H,wt=21): 10666 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1001(a,1),10665(a,1,1))]. given #9713 (H,wt=34): 10667 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(10666(a,1),10452(a,1,2,2))]. given #9714 (H,wt=38): 10358 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(4800(a,1),10357(a,1,2)),flip(a)]. given #9715 (H,wt=34): 10668 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(13(a,1),10358(a,2,1,1))]. given #9716 (H,wt=30): 10669 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(199,a,8741,a(flip),b,10668,a)]. given #9717 (H,wt=26): 10671 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(13(a,1),10669(a,1,1,1))]. given #9718 (H,wt=22): 10672 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),10671(a,1,2,2))]. given #9719 (H,wt=25): 10673 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5594(a,1),10672(a,1,2,1,3))]. given #9720 (H,wt=38): 10513 (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(4114(a,1),10512(a,1,1))]. given #9721 (H,wt=36): 10674 (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(8936(a,1),10513(a,1,2))]. given #9722 (H,wt=34): 10675 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(3973(a,1),10674(a,1,2)),flip(a)]. given #9723 (H,wt=34): 10676 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(38(a,1),10675(a,2,2))]. given #9724 (H,wt=30): 10677 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(199,a,7511,a(flip),b,10676,a)]. given #9725 (H,wt=30): 10678 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(10458(a,1),10677(a,2,1))]. given #9726 (H,wt=28): 10679 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(199,a,7682,a(flip),b,10678,a)]. given #9727 (H,wt=26): 10680 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7085(a,1),10679(a,1,2,3))]. given #9728 (H,wt=22): 10681 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(3947(a,1),10680(a,1,2,3))]. given #9729 (H,wt=26): 10682 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(199,a,10570,a,b,10681,a(flip)),flip(a)]. given #9730 (H,wt=26): 10683 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(10435(a,1),10682(a,1,1))]. given #9731 (H,wt=20): 10684 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2963(a,1),10683(a,1,2)),flip(a)]. given #9732 (H,wt=20): 10685 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(199,a,5008,a(flip),b,10684,a)]. given #9733 (H,wt=20): 10686 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(10458(a,1),10685(a,2,1))]. given #9734 (H,wt=18): 10687 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(199,a,4660,a,b,10686,a)]. given #9735 (H,wt=21): 10688 L(T(x,L(y,z,u)),y,x) != w | T(x,L(y * x,z,u)) = w. [para(10686(a,2),4661(a,1))]. given #9736 (H,wt=39): 4360 (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(4312(a,1),411(a,1,1))]. given #9737 (H,wt=39): 6621 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(6620(a,1),1781(a,1,1)),flip(a)]. given #9738 (H,wt=32): 10690 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(6620(a,1),6621(a,2,2,1,1))]. given #9739 (H,wt=28): 10691 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(63(a,1),10690(a,2,2,1))]. given #9740 (H,wt=26): 10693 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(199,a,3580,a(flip),b,10691,a)]. given #9741 (H,wt=22): 10694 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(63(a,1),10693(a,1,1,2,1))]. given #9742 (H,wt=20): 10695 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3580(a,1),10694(a,1,1))]. given #9743 (H,wt=17): 10696 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6143,a,10695,a)]. given #9744 (H,wt=33): 10697 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(10696(a,1),10375(a,1,1,1))]. given #9745 (H,wt=32): 10698 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(673,a,10697,a)]. given #9746 (H,wt=29): 10699 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(101(a,1),10698(a,1,1,2))]. given #9747 (H,wt=22): 10700 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),10699(a,1,1)),flip(a)]. given #9748 (H,wt=20): 10701 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(199,a,9497,a(flip),b,10700,a),flip(a)]. given #9749 (H,wt=13): 10702 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(24(a,2),10701(a,2,1,1)),flip(a)]. given #9750 (H,wt=39): 7567 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(6314(a,1),7497(a,1,2)),flip(a)]. given #9751 (H,wt=39): 8632 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(6464(a,1),8631(a,1,2,1,1))]. given #9752 (H,wt=35): 10704 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(199,a,4475,a(flip),b,8632,a(flip))]. given #9753 (H,wt=31): 10706 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(199,a,3429,a(flip),b,10704,a)]. given #9754 (H,wt=25): 10707 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2232(a,1),10706(a,1,2,1)),flip(a)]. given #9755 (H,wt=39): 9104 ((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(9102(a,1),6654(a,2,2,2,1,1))]. given #9756 (H,wt=29): 10709 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(199,a,9406,a(flip),b,9104,a(flip)),flip(a)]. given #9757 (H,wt=27): 10710 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(10310,a,10709,a)]. given #9758 (H,wt=27): 10713 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9275(a,1),10710(a,2,2,2))]. given #9759 (H,wt=23): 10714 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),10713(a,2,2,2,1))]. given #9760 (H,wt=19): 10715 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),10714(a,2,2))]. given #9761 (H,wt=17): 10717 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(199,a,9392,a(flip),b,10715,a)]. given #9762 (H,wt=20): 10719 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10717(a,1),4180(a,1))]. given #9763 (H,wt=21): 10718 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(199,a,10311,a(flip),b,10717,a(flip))]. given #9764 (H,wt=39): 9139 (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(68,a,9138,a,b,1429,a)]. given #9765 (H,wt=39): 10286 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(9665(a,1),10285(a,1,1,2,2))]. given #9766 (H,wt=39): 10689 (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(4243(a,1),4360(a,1,1,2))]. given #9767 (H,wt=39): 10703 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(7717(a,1),7567(a,2,1))]. given #9768 (H,wt=35): 10724 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(199,a,8041,a(flip),b,10703,a)]. given #9769 (H,wt=39): 10721 (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(5008(a,1),9139(a,1,1,2))]. given #9770 (H,wt=39): 10722 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(9653(a,1),10286(a,1,2,1,1))]. given #9771 (H,wt=23): 10726 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(199,a,10285,a(flip),b,10722,a(flip))]. given #9772 (H,wt=23): 10727 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(8927,a,10726,a),flip(a)]. given #9773 (H,wt=19): 10728 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(7388,a,10727,a)]. given #9774 (H,wt=19): 10729 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8851,a,10728,a),flip(a)]. given #9775 (H,wt=28): 10730 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(10729(a,1),9777(a,1,1))]. given #9776 (H,wt=23): 10731 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(199,a,9776,a(flip),b,10730,a(flip)),flip(a)]. given #9777 (H,wt=23): 10732 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(9896,a,10731,a),flip(a)]. given #9778 (H,wt=22): 10733 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(199,a,6628,a(flip),b,10732,a(flip))]. given #9779 (H,wt=17): 10734 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),10733(a,1,2,1)),flip(a)]. given #9780 (H,wt=17): 10736 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(4990(a,1),10734(a,1,1)),flip(a)]. given #9781 (H,wt=19): 10737 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5330(a,1),10734(a,1,1)),flip(a)]. given #9782 (H,wt=19): 10739 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(199,a,5336,a,b,10737,a(flip)),flip(a)]. given #9783 (H,wt=27): 10738 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(10071(a,1),10734(a,1,1))]. given #9784 (H,wt=23): 10741 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(10736(a,1),10738(a,1,1)),flip(a)]. given #9785 (H,wt=29): 10735 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(450(a,1),10734(a,2,2,1))]. given #9786 (H,wt=29): 10742 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5336(a,1),10735(a,1,1))]. given #9787 (H,wt=39): 10723 ((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(199,a,4248,a(flip),b,10689,a(flip)),flip(a)]. given #9788 (H,wt=26): 10743 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(4460,a,10723,a),flip(a)]. given #9789 (H,wt=15): 10744 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(6640,a,10743,a)]. given #9790 (H,wt=13): 10746 a(x,y,1 / z) = a(x,y,z \ 1). [para(666(a,1),10744(a,1,3)),flip(a)]. given #9791 (H,wt=15): 10748 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [para(2742(a,1),10744(a,1,3)),flip(a)]. given #9792 (H,wt=21): 10750 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4369(a,1),10748(a,1,3))]. given #9793 (H,wt=23): 10749 a(x,y,K(z,z \ 1) * u) = (a(x,y,u) * K(w,v5)) * K(v5,w). [hyper(199,a,6215,a,b,10748,a)]. given #9794 (H,wt=18): 10752 a(x,y,K(z,z \ 1) * u) != w | a(x,y,u) = w. [para(10749(a,2),5139(a,1)),flip(b)]. given #9795 (H,wt=30): 10751 a(x,y,K(z,z \ 1) * u) = (((x * (y * u)) \ ((x * y) * u)) * K(w,v5)) * K(v5,w). [para(24(a,1),10749(a,2,1,1))]. given #9796 (H,wt=34): 10753 a(x,y,K(z,z \ 1) * u) = ((x * (K(w,w \ 1) * (y * u))) \ ((x * y) * u)) * K(w,w \ 1). [para(4374(a,2),10751(a,2,1))]. given #9797 (H,wt=34): 10754 a(x,y,K(z,z \ 1) * u) = ((x * (y * (K(w,w \ 1) * u))) \ ((x * y) * u)) * K(w,w \ 1). [para(4370(a,1),10753(a,2,1,1,2))]. given #9798 (H,wt=28): 10755 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(10752,a,10754,a),flip(a)]. given #9799 (H,wt=28): 10756 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2234(a,1),10755(a,1,1,1,2,2))]. given #9800 (H,wt=39): 10725 ((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(6440(a,1),10721(a,1,1))]. given #9801 (H,wt=40): 3877 ((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(3873(a,1),1734(a,1,1,2,1))]. given #9802 (H,wt=32): 10757 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(3964(a,1),3877(a,1,1,2)),flip(a)]. given #9803 (H,wt=22): 10758 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(199,a,1725,a(flip),b,10757,a)]. given #9804 (H,wt=18): 10759 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(3873(a,1),10758(a,1,3))]. given #9805 (H,wt=30): 10760 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(10759(a,1),5802(a,1,1,1))]. given #9806 (H,wt=19): 10761 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(10759(a,1),10760(a,1,2))]. given #9807 (H,wt=17): 10762 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(239,a,10761,a)]. given #9808 (H,wt=17): 10763 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(199,a,4327,a(flip),b,10762,a(flip)),flip(a)]. given #9809 (H,wt=19): 10764 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(10763(a,1),152(a,1,2))]. given #9810 (H,wt=40): 3884 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(2804(a,1),3872(a,2,2))]. given #9811 (H,wt=36): 10766 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(63(a,1),3884(a,1,1,2))]. given #9812 (H,wt=36): 10767 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(40(a,2),10766(a,1,1))]. given #9813 (H,wt=35): 10768 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2811(a,1),10767(a,1,1))]. given #9814 (H,wt=31): 10769 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(63(a,1),10768(a,1,2,2,2))]. given #9815 (H,wt=31): 10770 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),10769(a,1,2,2))]. given #9816 (H,wt=30): 10771 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2811(a,1),10770(a,1,2,2))]. given #9817 (H,wt=22): 10772 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),10771(a,1,2))]. given #9818 (H,wt=25): 10774 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(10772(a,1),4511(a,1,1)),flip(a)]. given #9819 (H,wt=25): 10775 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(10774(a,1),63(a,1,1))]. given #9820 (H,wt=22): 10776 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(199,a,2924,a(flip),b,10775,a(flip)),flip(a)]. given #9821 (H,wt=40): 8378 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(8375(a,1),1093(a,1,2,2)),flip(a)]. given #9822 (H,wt=40): 8419 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(8105(a,1),409(a,1,1,1))]. given #9823 (H,wt=40): 8545 (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(4425(a,2),8507(a,2,2))]. given #9824 (H,wt=40): 8727 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(8574(a,1),390(a,1,2))]. given #9825 (H,wt=35): 10779 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(6021(a,1),8727(a,1,1)),flip(a)]. given #9826 (H,wt=30): 10780 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(199,a,5090,a(flip),b,10779,a)]. given #9827 (H,wt=28): 10782 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(199,a,4669,a(flip),b,10780,a)]. given #9828 (H,wt=23): 10783 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6021(a,1),10782(a,1,2))]. given #9829 (H,wt=21): 10784 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(199,a,7286,a(flip),b,10783,a(flip)),flip(a)]. given #9830 (H,wt=19): 10786 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(199,a,10488,a(flip),b,10784,a)]. given #9831 (H,wt=17): 10787 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(10786(a,1),4684(a,1,1))]. given #9832 (H,wt=22): 10788 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(10786(a,1),4806(a,1,1))]. given #9833 (H,wt=21): 10789 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(199,a,10687,a(flip),b,10788,a)]. given #9834 (H,wt=40): 9602 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7232(a,1),9601(a,1,1,2))]. given #9835 (H,wt=36): 10790 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7262(a,1),9602(a,1,1))]. given #9836 (H,wt=34): 10791 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(10044(a,1),10790(a,1,1))]. given #9837 (H,wt=32): 10792 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6051(a,1),10791(a,1,2))]. given #9838 (H,wt=28): 10793 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8908(a,1),10792(a,1,2))]. given #9839 (H,wt=40): 10322 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(7717(a,1),10320(a,1,1,1,2,1))]. given #9840 (H,wt=40): 10586 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(10585(a,1),8804(a,1,2,2))]. given #9841 (H,wt=29): 10795 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(199,a,7770,a(flip),b,10586,a(flip))]. given #9842 (H,wt=29): 10796 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(7739,a,10795,a)]. given #9843 (H,wt=27): 10798 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8497(a,1),10796(a,1,2))]. given #9844 (H,wt=23): 10799 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(199,a,8795,a(flip),b,10798,a(flip)),flip(a)]. given #9845 (H,wt=40): 10777 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6228(a,1),8378(a,2,2,2))]. given #9846 (H,wt=40): 10778 (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(5008(a,1),8545(a,1,1,2,2))]. given #9847 (H,wt=36): 10801 (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(4016(a,1),10778(a,1,1,2))]. given #9848 (H,wt=32): 10802 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10212(a,1),10801(a,1,2))]. given #9849 (H,wt=30): 10803 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8270(a,1),10802(a,1,2))]. given #9850 (H,wt=30): 10805 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5008(a,1),10803(a,2,2,1,1))]. given #9851 (H,wt=26): 10806 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(6238(a,1),10805(a,2,2,1))]. given #9852 (H,wt=26): 10807 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(6908(a,2),10806(a,2,2))]. given #9853 (H,wt=22): 10808 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),10807(a,2,2,1))]. given #9854 (H,wt=40): 10794 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(8450(a,1),10322(a,1,1,1,2))]. given #9855 (H,wt=38): 10810 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(10639(a,1),10794(a,1,1,1))]. given #9856 (H,wt=40): 10800 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(9278(a,1),10777(a,2,2))]. given #9857 (H,wt=36): 10811 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(8055(a,1),10800(a,2,2))]. given #9858 (H,wt=36): 10812 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(199,a,6488,a(flip),b,10811,a)]. given #9859 (H,wt=36): 10813 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(4738(a,1),10812(a,2,1))]. given #9860 (H,wt=32): 10814 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(7798(a,1),10813(a,2,2))]. given #9861 (H,wt=30): 10815 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(199,a,10621,a(flip),b,10814,a)]. given #9862 (H,wt=30): 10817 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6228(a,1),10815(a,1,2,1))]. given #9863 (H,wt=23): 10818 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(8375(a,1),10817(a,1,2))]. given #9864 (H,wt=29): 10820 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(10818(a,1),10353(a,1,2))]. given #9865 (H,wt=27): 10821 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(199,a,9938,a,b,10820,a(flip)),flip(a)]. given #9866 (H,wt=23): 10822 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(9442(a,1),10821(a,1,1))]. given #9867 (H,wt=21): 10823 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(10645,a,10822,a),flip(a)]. given #9868 (H,wt=25): 10824 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(10823(a,1),9294(a,1,1)),flip(a)]. given #9869 (H,wt=32): 10825 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(199,a,10252,a(flip),b,10824,a(flip))]. given #9870 (H,wt=25): 10826 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(9555(a,1),10825(a,1,1)),flip(a)]. given #9871 (H,wt=41): 4429 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1433(a,1),4397(a,2,1,1))]. given #9872 (H,wt=41): 5921 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(5920(a,1),644(a,1,2,1)),flip(a)]. given #9873 (H,wt=33): 10828 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(14(a,1),5921(a,2,2,1,2))]. given #9874 (H,wt=31): 10829 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(199,a,164,a(flip),b,10828,a)]. given #9875 (H,wt=25): 10830 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(164(a,1),10829(a,1,2))]. given #9876 (H,wt=25): 10831 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5008(a,1),10830(a,1,2,2))]. given #9877 (H,wt=41): 6330 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6299(a,1),1674(a,1,1)),flip(a)]. given #9878 (H,wt=37): 10833 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6299(a,1),6330(a,2,2,1,1))]. given #9879 (H,wt=33): 10834 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(4814(a,1),10833(a,2,2,1))]. given #9880 (H,wt=41): 8388 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8387(a,1),2777(a,1,1,2,1))]. given #9881 (H,wt=39): 10837 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9357(a,1),8388(a,1,1,2))]. given #9882 (H,wt=39): 10838 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8387(a,1),10837(a,1,2,1))]. given #9883 (H,wt=39): 10839 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(3582(a,1),10838(a,1,2,2))]. given #9884 (H,wt=32): 10840 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2558(a,1),10839(a,1,2)),flip(a)]. given #9885 (H,wt=32): 10842 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8387(a,1),10840(a,1,2,1))]. given #9886 (H,wt=30): 10843 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(9357(a,1),10842(a,1,2)),flip(a)]. given #9887 (H,wt=30): 10844 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8387(a,1),10843(a,2,3))]. given #9888 (H,wt=16): 10845 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [hyper(199,a,10251,a(flip),b,10844,a(flip))]. given #9889 (H,wt=14): 10847 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(9170(a,1),10845(a,1,2))]. given #9890 (H,wt=14): 10848 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(9331(a,2),10847(a,1,3))]. given #9891 (H,wt=15): 10849 x / (a(y,z,y) \ 1) = x * a(y,z,y). [hyper(69,a,10848,a(flip),b,329,a)]. given #9892 (H,wt=15): 10850 x / (y \ L(y,z,y)) = x * a(y,z,y). [para(9331(a,1),10849(a,1,2))]. given #9893 (H,wt=15): 10851 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(267,a,10850,a),flip(a)]. given #9894 (H,wt=15): 10852 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(199,a,8385,a,b,10851,a(flip)),flip(a)]. given #9895 (H,wt=15): 10854 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(69,a,15,a(flip),b,10852,a),flip(a)]. given #9896 (H,wt=15): 10855 (x / y) * R(y,z,y) = x * a(y,z,y). [para(10854(a,1),16(a,1,1))]. given #9897 (H,wt=15): 10856 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(199,a,7067,a,b,10855,a(flip)),flip(a)]. given #9898 (H,wt=15): 10857 (x * y) * a(y,z,y) = x * R(y,z,y). [para(15(a,1),10855(a,1,1)),flip(a)]. given #9899 (H,wt=15): 10860 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),10856(a,1,2)),flip(a)]. given #9900 (H,wt=15): 10861 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(10856(a,1),1495(a,1,2))]. given #9901 (H,wt=15): 10862 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(9314,a,10857,a)]. given #9902 (H,wt=15): 10863 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(69,a,10857,a(flip),b,9310,a)]. given #9903 (H,wt=12): 10871 R(a(x,y,x),x,z) = a(x,y,x). [hyper(199,a,9911,a(flip),b,10863,a(flip)),flip(a)]. given #9904 (H,wt=15): 10866 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(9314,a,10860,a)]. given #9905 (H,wt=15): 10867 (x * y) * a(x,z,x) = L(x,z,x) * y. [para(4028(a,1),10860(a,2,1))]. given #9906 (H,wt=15): 10868 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(9310(a,2),10861(a,1,2))]. given #9907 (H,wt=15): 10870 a(x,y,x) * (z * x) = z * L(x,y,x). [para(4028(a,1),10862(a,2,2))]. given #9908 (H,wt=15): 10877 a(x,y,x) * (x * z) = L(x,y,x) * z. [para(4028(a,1),10866(a,2,1))]. given #9909 (H,wt=15): 10878 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(68,a,14,a(flip),b,10868,a),flip(a)]. given #9910 (H,wt=18): 10853 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(10851(a,2),9311(a,1))]. given #9911 (H,wt=20): 10858 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4031(a,1),10855(a,1,2))]. given #9912 (H,wt=21): 10864 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10857(a,1),9244(a,1,1))]. given #9913 (H,wt=19): 10880 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(199,a,7566,a(flip),b,10864,a)]. given #9914 (H,wt=21): 10869 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(69,a,10862,a(flip),b,80,a(flip))]. given #9915 (H,wt=22): 10873 a(x,y,x) * (z * x) != u * w | (z * R(x,y,x)) / w = u. [para(10863(a,1),323(a,1,1))]. given #9916 (H,wt=22): 10882 (x * y) * a(y,z,y) != u * w | (x * R(y,z,y)) / w = u. [para(9310(a,1),10873(a,1))]. given #9917 (H,wt=23): 10859 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10855(a,2),9234(a,1,2))]. given #9918 (H,wt=21): 10883 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(199,a,9141,a(flip),b,10859,a(flip)),flip(a)]. given #9919 (H,wt=24): 10865 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(10857(a,1),9318(a,1,1,2))]. given #9920 (H,wt=27): 10876 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(10866(a,1),436(a,1,1,1))]. given #9921 (H,wt=27): 10884 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10883(a,1),7022(a,1,2))]. given #9922 (H,wt=25): 10885 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(4977,a,10884,a),flip(a)]. given #9923 (H,wt=31): 10872 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(92(a,1),10863(a,1,2))]. given #9924 (H,wt=28): 10886 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(397(a,1),10872(a,1,1))]. given #9925 (H,wt=25): 10887 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(10405(a,1),10886(a,1,1,2))]. given #9926 (H,wt=20): 10888 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(199,a,10865,a(flip),b,10887,a(flip)),flip(a)]. given #9927 (H,wt=22): 10891 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(16(a,1),10888(a,1,2)),flip(a)]. given #9928 (H,wt=35): 10879 (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(10156(a,1),10858(a,1,2))]. given #9929 (H,wt=34): 10892 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(4186(a,1),10879(a,1,2,1)),flip(a)]. given #9930 (H,wt=36): 10875 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(199,a,430,a,b,10871,a(flip)),flip(a)]. given #9931 (H,wt=31): 10893 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(9179(a,1),10875(a,1,1,1))]. given #9932 (H,wt=28): 10894 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(433(a,1),10893(a,1,1))]. given #9933 (H,wt=25): 10895 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(10537(a,1),10894(a,1,1))]. given #9934 (H,wt=23): 10896 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(10895(a,1),10876(a,1))]. given #9935 (H,wt=41): 8742 (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(8740(a,1),8178(a,1,1,2))]. given #9936 (H,wt=31): 10897 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(2004(a,1),8742(a,1,1))]. given #9937 (H,wt=19): 10898 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(8048,a,10897,a(flip)),flip(a)]. given #9938 (H,wt=19): 10899 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(10898(a,1),14(a,1,2))]. given #9939 (H,wt=37): 10900 (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(10899(a,1),10725(a,1,1))]. given #9940 (H,wt=35): 10901 (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(9138(a,1),10900(a,1,2))]. given #9941 (H,wt=19): 10902 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1030,a,10901,a)]. given #9942 (H,wt=19): 10903 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(199,a,5008,a(flip),b,10902,a)]. given #9943 (H,wt=29): 10904 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(199,a,8307,a,b,10903,a(flip)),flip(a)]. given #9944 (H,wt=13): 10905 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3058,a,10904,a),flip(a)]. given #9945 (H,wt=19): 10906 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(7417,a,10905,a),flip(a)]. given #9946 (H,wt=15): 10908 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(7377,a,10906,a),flip(a)]. given #9947 (H,wt=29): 10910 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(10908(a,1),9476(a,1,1))]. given #9948 (H,wt=27): 10911 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(4968,a,10910,a)]. given #9949 (H,wt=23): 10913 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(9393,a,10911,a)]. given #9950 (H,wt=26): 10914 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(10911(a,1),9393(a,1))]. given #9951 (H,wt=27): 10912 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9466(a,1),10910(a,1,2,2))]. given #9952 (H,wt=27): 10915 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9397(a,1),10912(a,1,2))]. given #9953 (H,wt=19): 10916 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5019,a,10915,a)]. given #9954 (H,wt=19): 10918 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(10914,a,10916,a)]. given #9955 (H,wt=19): 10921 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(10918(a,1),9414(a,1,1)),flip(a)]. given #9956 (H,wt=19): 10922 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(10921(a,1),10702(a,1,1))]. given #9957 (H,wt=15): 10924 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(199,a,10702,a(flip),b,10922,a(flip))]. given #9958 (H,wt=22): 10917 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(10915(a,1),5019(a,1)),flip(b)]. given #9959 (H,wt=22): 10926 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(10913(a,2),10917(a,1))]. given #9960 (H,wt=40): 10925 (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(199,a,8557,a,b,10924,a),flip(a)]. given #9961 (H,wt=38): 10927 (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(5909(a,1),10925(a,1,1,2))]. given #9962 (H,wt=36): 10928 (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(530(a,1),10927(a,1,1))]. given #9963 (H,wt=34): 10929 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(165(a,1),10928(a,1,2)),flip(a)]. given #9964 (H,wt=27): 10930 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(199,a,1082,a(flip),b,10929,a)]. given #9965 (H,wt=27): 10931 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(42(a,2),10930(a,2,3))]. given #9966 (H,wt=27): 10932 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(199,a,10924,a(flip),b,10931,a(flip)),flip(a)]. given #9967 (H,wt=23): 10933 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(10926,a,10932,a)]. given #9968 (H,wt=21): 10935 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(199,a,10718,a(flip),b,10933,a(flip))]. given #9969 (H,wt=27): 10937 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(199,a,10373,a,b,10935,a(flip)),flip(a)]. given #9970 (H,wt=25): 10938 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9210,a,10937,a)]. given #9971 (H,wt=28): 10939 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(10938(a,1),10892(a,1,2)),flip(a)]. given #9972 (H,wt=26): 10940 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(32(a,2),10939(a,2,2,2))]. given #9973 (H,wt=24): 10941 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(9448(a,1),10940(a,2,2))]. given #9974 (H,wt=42): 8013 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(6956(a,1),622(a,1,2))]. given #9975 (H,wt=34): 10942 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(6337(a,1),8013(a,1,1,1))]. given #9976 (H,wt=26): 10943 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(3934(a,1),10942(a,1,1)),flip(a)]. given #9977 (H,wt=20): 10944 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(199,a,7362,a(flip),b,10943,a)]. given #9978 (H,wt=42): 9528 (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(9526(a,1),539(a,1,1,1)),flip(a)]. given #9979 (H,wt=37): 10946 (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(199,a,433,a(flip),b,9528,a)]. given #9980 (H,wt=33): 10947 (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(199,a,1670,a(flip),b,10946,a(flip)),flip(a)]. given #9981 (H,wt=33): 10948 (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(5016(a,1),10947(a,1,1,2,1))]. given #9982 (H,wt=31): 10949 (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(5463(a,1),10948(a,1,1,2,1))]. given #9983 (H,wt=25): 10950 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(7210(a,1),10949(a,1,1,2,1)),flip(a)]. given #9984 (H,wt=25): 10951 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(199,a,4008,a(flip),b,10950,a(flip))]. given #9985 (H,wt=41): 10953 (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(10951(a,1),1508(a,2,1,2)),flip(a)]. given #9986 (H,wt=41): 10954 (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(5008(a,1),10953(a,1,1))]. given #9987 (H,wt=33): 10955 (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(9389(a,1),10954(a,1,1))]. given #9988 (H,wt=15): 10956 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(261,a,10955,a)]. given #9989 (H,wt=23): 10959 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(199,a,5713,a(flip),b,10956,a(flip)),flip(a)]. given #9990 (H,wt=23): 10960 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(7592,a,10959,a(flip)),flip(a)]. given #9991 (H,wt=21): 10961 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(199,a,6868,a(flip),b,10960,a(flip))]. given #9992 (H,wt=19): 10963 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(104(a,1),10961(a,1,2,2,1)),flip(a)]. given #9993 (H,wt=19): 10964 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(199,a,10961,a,b,10963,a(flip)),flip(a)]. given #9994 (H,wt=19): 10965 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(7602,a,10964,a)]. given #9995 (H,wt=42): 10832 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(199,a,2608,a(flip),b,10831,a)]. given #9996 (H,wt=40): 10966 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(4912(a,1),10832(a,2,1,2,1))]. given #9997 (H,wt=36): 10967 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(8983(a,1),10966(a,2,1))]. given #9998 (H,wt=34): 10968 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(5633(a,1),10967(a,1,2,2,2,1))]. given #9999 (H,wt=26): 10969 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(199,a,10831,a(flip),b,10968,a(flip)),flip(a)]. given #10000 (H,wt=19): 10970 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(199,a,10220,a(flip),b,10969,a(flip)),flip(a)]. given #10001 (H,wt=16): 10971 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(5974(a,1),10970(a,1,3)),flip(a)]. given #10002 (H,wt=11): 10972 a(x,y,a(z,u,K(y,w))) = 1. [hyper(34,a,10971,a)]. given #10003 (H,wt=13): 10973 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7143(a,1),10972(a,1,3,3))]. given #10004 (H,wt=43): 6426 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(896(a,2),6259(a,2,2))]. given #10005 (H,wt=41): 10974 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(4912(a,1),6426(a,1,1,1,2,1))]. given #10006 (H,wt=41): 10975 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(6450(a,1),10974(a,1,1,1))]. given #10007 (H,wt=41): 10976 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(10341(a,1),10975(a,1,1))]. given #10008 (H,wt=37): 10977 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(8983(a,1),10976(a,1,1,2))]. given #10009 (H,wt=35): 10978 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(4912(a,1),10977(a,1,3,1))]. given #10010 (H,wt=25): 10979 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(199,a,8359,a(flip),b,10978,a(flip))]. given #10011 (H,wt=23): 10981 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(4911(a,1),10979(a,1,2,1))]. given #10012 (H,wt=21): 10982 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(4911(a,1),10981(a,1,2,2,1))]. given #10013 (H,wt=17): 10983 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(8987(a,1),10982(a,1,2))]. given #10014 (H,wt=43): 8358 (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(8352(a,1),2547(a,1,1,1))]. given #10015 (H,wt=36): 10984 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(8352(a,1),8358(a,1,1,2,1,1)),flip(a)]. given #10016 (H,wt=32): 10985 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(13(a,1),10984(a,2,1,2,1))]. given #10017 (H,wt=25): 10987 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(8352(a,1),10985(a,1,1)),flip(a)]. given #10018 (H,wt=25): 10988 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(1919(a,1),10987(a,2,2))]. given #10019 (H,wt=37): 10989 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(10988(a,1),10382(a,1,1))]. given #10020 (H,wt=33): 10990 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5011(a,1),10989(a,1,1,2))]. given #10021 (H,wt=21): 10991 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(199,a,8361,a(flip),b,10990,a(flip))]. given #10022 (H,wt=19): 10992 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(3774,a,10991,a)]. given #10023 (H,wt=12): 10994 K(x,a(K(y,z),u,u \ 1)) = 1. [para(10992(a,1),9542(a,1,2))]. given #10024 (H,wt=12): 10995 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(37,a,10994,a)]. given #10025 (H,wt=12): 10996 T(x,a(K(y,z),u \ 1,u)) = x. [para(3516(a,1),10995(a,1,2))]. given #10026 (H,wt=19): 10997 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(35,a,10996,a)]. given #10027 (H,wt=23): 10998 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(199,a,3506,a,b,10997,a)]. given #10028 (H,wt=27): 10999 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5017(a,2),10998(a,1,1))]. given #10029 (H,wt=29): 11000 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(199,a,9031,a,b,10999,a(flip)),flip(a)]. given #10030 (H,wt=33): 11001 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(199,a,7120,a,b,11000,a(flip)),flip(a)]. given #10031 (H,wt=16): 11002 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(9613,a,11001,a)]. given #10032 (H,wt=16): 11003 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2688(a,1),11002(a,1,2,2))]. given #10033 (H,wt=16): 11004 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(199,a,5286,a,b,11003,a)]. given #10034 (H,wt=17): 11006 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(443(a,1),11004(a,1,2,2))]. given #10035 (H,wt=17): 11007 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5207(a,1),11006(a,1,2)),flip(a)]. given #10036 (H,wt=17): 11008 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5210(a,2),11006(a,1,2))]. given #10037 (H,wt=17): 11009 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(7902,a,11007,a)]. given #10038 (H,wt=17): 11010 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(5289,a,11007,a)]. given #10039 (H,wt=17): 11012 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(6816(a,1),11008(a,1,2)),flip(a)]. given #10040 (H,wt=17): 11013 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),11009(a,2,2,2))]. given #10041 (H,wt=17): 11014 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(5217(a,2),11009(a,1,2))]. given #10042 (H,wt=17): 11015 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(199,a,5286,a,b,11010,a)]. given #10043 (H,wt=17): 11017 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(7739,a,11013,a)]. given #10044 (H,wt=17): 11020 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(199,a,7872,a(flip),b,11017,a(flip)),flip(a)]. given #10045 (H,wt=16): 11023 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11020(a,1),9108(a,1,1))]. given #10046 (H,wt=16): 11024 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(4738(a,1),11023(a,1,1,2))]. given #10047 (H,wt=16): 11026 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(199,a,8449,a(flip),b,11024,a(flip)),flip(a)]. given #10048 (H,wt=16): 11027 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(60(a,1),11026(a,1,2,2,2))]. given #10049 (H,wt=17): 11022 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11020(a,1),8911(a,1,1))]. given #10050 (H,wt=17): 11028 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(5045,a,11022,a)]. given #10051 (H,wt=17): 11029 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(60(a,1),11022(a,1,2)),flip(a)]. given #10052 (H,wt=17): 11031 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7715(a,1),11028(a,1,1))]. given #10053 (H,wt=17): 11032 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7716(a,1),11029(a,2,1))]. given #10054 (H,wt=17): 11033 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8913,a,11031,a)]. given #10055 (H,wt=17): 11034 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11032(a,1),63(a,1,1))]. given #10056 (H,wt=14): 11036 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4733,a,11034,a)]. given #10057 (H,wt=12): 11037 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,11036,a)]. given #10058 (H,wt=12): 11038 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),11037(a,1,3))]. given #10059 (H,wt=12): 11039 a(K(K(x,y),z),u,u \ z) = 1. [para(4738(a,1),11037(a,1,1))]. given #10060 (H,wt=12): 11040 a(K(x,K(y,z * u)),z,u) = 1. [para(7715(a,1),11038(a,1,1))]. given #10061 (H,wt=18): 11005 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11003(a,1),7738(a,1,2)),flip(a)]. given #10062 (H,wt=16): 11042 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(199,a,7725,a(flip),b,11005,a)]. given #10063 (H,wt=18): 11041 a(K(K(x,y),z),u,u \ z) = K(w,v5) * K(w,v5). [hyper(199,a,4913,a,b,11039,a)]. given #10064 (H,wt=19): 11011 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7144(a,1),11007(a,1,2)),flip(a)]. given #10065 (H,wt=19): 11043 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(199,a,8661,a(flip),b,11042,a(flip)),flip(a)]. given #10066 (H,wt=17): 11046 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [hyper(7114,a,11043,a)]. given #10067 (H,wt=15): 11049 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(199,a,7833,a(flip),b,11046,a)]. given #10068 (H,wt=17): 11050 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5207(a,1),11049(a,1,2))]. given #10069 (H,wt=19): 11045 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7141(a,1),11011(a,1,2))]. given #10070 (H,wt=17): 11052 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(9931(a,1),11045(a,1,2)),flip(a)]. given #10071 (H,wt=17): 11053 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(7877,a,11052,a)]. given #10072 (H,wt=17): 11054 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(16(a,1),11052(a,2,2,2))]. given #10073 (H,wt=17): 11057 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(11054(a,1),8396(a,2,2))]. given #10074 (H,wt=17): 11058 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(60(a,1),11057(a,1,1)),flip(a)]. given #10075 (H,wt=19): 11048 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7143(a,1),11043(a,1,2)),flip(a)]. given #10076 (H,wt=17): 11061 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(7181(a,1),11048(a,1,2)),flip(a)]. given #10077 (H,wt=19): 11055 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(11052(a,1),7747(a,1,2,2))]. given #10078 (H,wt=18): 11063 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(8501,a,11055,a)]. given #10079 (H,wt=20): 11019 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(11015(a,2),5289(a,1))]. given #10080 (H,wt=20): 11060 (x / y) \ T(x,K(z,u)) != w | y * K(z,K(u,x)) = w. [para(11058(a,1),520(a,1))]. given #10081 (H,wt=21): 11062 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(7885,a,11061,a),flip(a)]. given #10082 (H,wt=19): 11065 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(6897,a,11062,a),flip(a)]. given #10083 (H,wt=17): 11066 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(7922,a,11065,a)]. given #10084 (H,wt=19): 11067 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(199,a,4652,a(flip),b,11066,a)]. given #10085 (H,wt=17): 11068 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4708,a,11067,a)]. given #10086 (H,wt=22): 11064 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(11063(a,1),10448(a,1,2))]. given #10087 (H,wt=23): 11016 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(11012(a,1),7728(a,1,2))]. given #10088 (H,wt=19): 11072 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(199,a,7757,a(flip),b,11016,a(flip))]. given #10089 (H,wt=19): 11073 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7084(a,2),11072(a,2,1))]. given #10090 (H,wt=17): 11074 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(7919(a,1),11073(a,2,1))]. given #10091 (H,wt=23): 11056 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(199,a,7878,a(flip),b,11053,a(flip))]. given #10092 (H,wt=19): 11076 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(7847,a,11056,a),flip(a)]. given #10093 (H,wt=19): 11077 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(7877,a,11076,a)]. given #10094 (H,wt=23): 11075 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(11074(a,2),6218(a,1,1))]. given #10095 (H,wt=27): 11044 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11027(a,1),11041(a,2,2))]. given #10096 (H,wt=27): 11079 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7716(a,2),11044(a,2,2))]. given #10097 (H,wt=27): 11080 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(4738(a,1),11079(a,1,1))]. given #10098 (H,wt=25): 11081 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(199,a,10614,a(flip),b,11080,a),flip(a)]. given #10099 (H,wt=16): 11082 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(199,a,11040,a(flip),b,11081,a)]. given #10100 (H,wt=16): 11083 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(199,a,10631,a(flip),b,11082,a(flip)),flip(a)]. given #10101 (H,wt=16): 11084 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),11083(a,1,2,2,2,3))]. given #10102 (H,wt=29): 11018 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11014(a,1),10489(a,1,3))]. given #10103 (H,wt=30): 11069 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(11068(a,1),9639(a,1,1))]. given #10104 (H,wt=28): 11085 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(185(a,2),11069(a,1,1,2,2))]. given #10105 (H,wt=24): 11086 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(5052(a,1),11085(a,1,1)),flip(a)]. given #10106 (H,wt=22): 11087 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(199,a,8548,a(flip),b,11086,a)]. given #10107 (H,wt=27): 11089 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(421(a,1),11087(a,1,2,1,1)),flip(a)]. given #10108 (H,wt=25): 11090 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(199,a,5718,a(flip),b,11089,a(flip)),flip(a)]. given #10109 (H,wt=22): 11091 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(199,a,9524,a(flip),b,11090,a(flip))]. given #10110 (H,wt=22): 11093 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(199,a,9629,a(flip),b,11091,a(flip)),flip(a)]. given #10111 (H,wt=20): 11094 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(52(a,1),11093(a,1,2,2))]. given #10112 (H,wt=17): 11095 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(199,a,5740,a(flip),b,11094,a(flip)),flip(a)]. given #10113 (H,wt=19): 11097 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(11095(a,2),4912(a,1,1))]. given #10114 (H,wt=17): 11098 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(5764,a,11097,a)]. given #10115 (H,wt=18): 11099 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(329(a,2),11098(a,2,2)),flip(a)]. given #10116 (H,wt=20): 11100 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(9940,a,11099,a)]. given #10117 (H,wt=17): 11101 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(199,a,8544,a(flip),b,11100,a(flip))]. given #10118 (H,wt=17): 11102 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(199,a,11098,a(flip),b,11101,a(flip)),flip(a)]. given #10119 (H,wt=18): 11103 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(443(a,1),11102(a,1,2)),flip(a)]. given #10120 (H,wt=18): 11104 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(10436,a,11103,a)]. given #10121 (H,wt=30): 11070 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(11064(a,1),107(a,1,1)),flip(a)]. given #10122 (H,wt=26): 11105 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(199,a,3938,a(flip),b,11070,a)]. given #10123 (H,wt=26): 11106 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7084(a,2),11105(a,2,1))]. given #10124 (H,wt=36): 11035 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(10388(a,1),11033(a,1,1,1,1))]. given #10125 (H,wt=31): 11107 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(4962(a,2),11035(a,1,1))]. given #10126 (H,wt=31): 11108 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(4862,a,11107,a)]. given #10127 (H,wt=29): 11109 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(11019,a,11108,a)]. given #10128 (H,wt=25): 11110 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),11109(a,1,2,2)),flip(a)]. given #10129 (H,wt=28): 11111 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11110(a,1),7740(a,1))]. given #10130 (H,wt=38): 11078 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(5258(a,2),11077(a,2,2))]. given #10131 (H,wt=33): 11112 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(28(a,2),11078(a,1,2,2,2)),flip(a)]. given #10132 (H,wt=43): 8602 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(555(a,1),7696(a,1,1,2,1)),flip(a)]. given #10133 (H,wt=40): 11113 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(3313(a,1),8602(a,2,1,2))]. given #10134 (H,wt=28): 11114 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(555(a,1),11113(a,1,1,2,2))]. given #10135 (H,wt=26): 11115 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3333(a,1),11114(a,1,1,2))]. given #10136 (H,wt=24): 11116 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(199,a,5329,a(flip),b,11115,a(flip))]. given #10137 (H,wt=43): 10356 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5825(a,1),10354(a,1,1,2,1,2))]. given #10138 (H,wt=33): 11117 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4337(a,1),10356(a,1,1))]. given #10139 (H,wt=23): 11119 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5825(a,1),11117(a,1,2,1,2))]. given #10140 (H,wt=17): 11120 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(68,a,11119,a(flip),b,5464,a(flip))]. given #10141 (H,wt=27): 11121 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(2881,a,11120,a)]. given #10142 (H,wt=38): 11122 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(11121(a,1),3555(a,2,1)),flip(a)]. given #10143 (H,wt=36): 11123 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4244(a,1),11122(a,1,2))]. given #10144 (H,wt=32): 11124 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4538(a,1),11123(a,1,2))]. given #10145 (H,wt=14): 11125 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(199,a,10334,a(flip),b,11124,a(flip))]. given #10146 (H,wt=13): 11127 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(145(a,1),11125(a,1,2,2,1))]. given #10147 (H,wt=19): 11128 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11127(a,1),4328(a,1,2))]. given #10148 (H,wt=27): 11129 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11128(a,1),6961(a,2,1))]. given #10149 (H,wt=43): 11051 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(11050(a,1),4782(a,1,1))]. given #10150 (H,wt=43): 11130 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(7717(a,1),11051(a,1,2,1,2))]. given #10151 (H,wt=41): 11131 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(7844(a,1),11130(a,1,2,1,2))]. given #10152 (H,wt=39): 11132 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(7824(a,1),11131(a,1,2,1,2))]. given #10153 (H,wt=39): 11133 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(4718(a,1),11132(a,1,2,1))]. given #10154 (H,wt=39): 11134 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(5566,a,11133,a)]. given #10155 (H,wt=37): 11135 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(7857(a,1),11134(a,1,1)),flip(a)]. given #10156 (H,wt=35): 11136 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(1257(a,1),11135(a,2,2))]. given #10157 (H,wt=33): 11137 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(199,a,5074,a(flip),b,11136,a)]. given #10158 (H,wt=44): 6482 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(1496(a,1),6418(a,2,1))]. given #10159 (H,wt=34): 11138 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(13(a,1),6482(a,1,1,1)),flip(a)]. given #10160 (H,wt=32): 11139 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(199,a,7089,a(flip),b,11138,a)]. given #10161 (H,wt=30): 11141 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(199,a,8526,a(flip),b,11139,a)]. given #10162 (H,wt=30): 11142 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7382,a,11141,a)]. given #10163 (H,wt=28): 11143 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(199,a,8926,a(flip),b,11142,a(flip)),flip(a)]. given #10164 (H,wt=23): 11144 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(8532,a,11143,a)]. given #10165 (H,wt=21): 11145 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(7233,a,11144,a),flip(a)]. given #10166 (H,wt=21): 11147 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(199,a,9135,a(flip),b,11145,a(flip)),flip(a)]. given #10167 (H,wt=21): 11148 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6168,a,11147,a),flip(a)]. given #10168 (H,wt=21): 11149 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(199,a,8438,a,b,11148,a(flip)),flip(a)]. given #10169 (H,wt=31): 11150 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(199,a,10383,a,b,11149,a(flip)),flip(a)]. given #10170 (H,wt=26): 11151 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(30(a,2),11150(a,2,2,1))]. given #10171 (H,wt=20): 11152 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(199,a,8590,a(flip),b,11151,a(flip))]. given #10172 (H,wt=44): 9020 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(5025(a,1),8955(a,2,2))]. given #10173 (H,wt=44): 11154 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(5008(a,1),9020(a,1,1,1))]. given #10174 (H,wt=37): 11155 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(10317(a,1),11154(a,1,1))]. given #10175 (H,wt=35): 11156 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(199,a,6043,a(flip),b,11155,a(flip)),flip(a)]. given #10176 (H,wt=35): 11158 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(199,a,10648,a(flip),b,11156,a(flip)),flip(a)]. given #10177 (H,wt=31): 11159 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(10627,a,11158,a),flip(a)]. given #10178 (H,wt=31): 11160 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(199,a,10631,a(flip),b,11159,a)]. given #10179 (H,wt=18): 11161 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(199,a,11084,a(flip),b,11160,a)]. given #10180 (H,wt=16): 11163 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(199,a,6043,a(flip),b,11161,a(flip)),flip(a)]. given #10181 (H,wt=24): 11164 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(11163(a,1),4767(a,1,1))]. given #10182 (H,wt=19): 11165 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(10318(a,1),11164(a,1,2))]. given #10183 (H,wt=17): 11166 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(71,a,11165,a)]. given #10184 (H,wt=17): 11168 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5037,a,11166,a)]. given #10185 (H,wt=19): 11167 1 * (K(x,y) * R(K(x,y),z,u)) = a(K(x,y),z,u). [para(4738(a,1),11165(a,1,2,1))]. given #10186 (H,wt=19): 11172 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(8253(a,1),11166(a,1,2))]. given #10187 (H,wt=21): 11171 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(11166(a,1),6646(a,1,1)),flip(a)]. given #10188 (H,wt=21): 11173 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(11166(a,1),8350(a,2,2))]. given #10189 (H,wt=21): 11174 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(11166(a,1),10634(a,2,2))]. given #10190 (H,wt=21): 11175 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(11166(a,1),10648(a,1,1)),flip(a)]. given #10191 (H,wt=21): 11178 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(11172(a,1),4908(a,1,2)),flip(a)]. given #10192 (H,wt=21): 11179 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5037,a,11171,a)]. given #10193 (H,wt=21): 11182 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(10623,a,11175,a)]. given #10194 (H,wt=21): 11186 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(6867,a,11178,a)]. given #10195 (H,wt=23): 11169 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(5703(a,1),11166(a,1,2))]. given #10196 (H,wt=23): 11181 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(199,a,8040,a,b,11173,a(flip)),flip(a)]. given #10197 (H,wt=24): 11185 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(11175(a,1),10623(a,1))]. given #10198 (H,wt=24): 11189 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(11186(a,2),19(a,1))]. given #10199 (H,wt=25): 11177 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8449(a,1),11167(a,1,2,2))]. given #10200 (H,wt=23): 11190 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(10639(a,1),11177(a,1,2))]. given #10201 (H,wt=26): 11187 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(199,a,9237,a(flip),b,11179,a(flip)),flip(a)]. given #10202 (H,wt=26): 11191 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(8493(a,1),11187(a,1,2))]. given #10203 (H,wt=24): 11192 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(4977,a,11191,a)]. given #10204 (H,wt=24): 11193 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(199,a,9036,a,b,11192,a)]. given #10205 (H,wt=29): 11180 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(199,a,10834,a,b,11173,a(flip)),flip(a)]. given #10206 (H,wt=25): 11194 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(13(a,1),11180(a,1,2,1,2,1))]. given #10207 (H,wt=25): 11196 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6438(a,1),11194(a,1,2))]. given #10208 (H,wt=29): 11197 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6234(a,2),11196(a,1,1))]. given #10209 (H,wt=25): 11198 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6156(a,1),11197(a,1,2))]. given #10210 (H,wt=33): 11176 (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(11168(a,1),9455(a,1,1)),flip(a)]. given #10211 (H,wt=27): 11199 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(199,a,11181,a(flip),b,11176,a)]. given #10212 (H,wt=34): 11188 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(11182(a,1),10810(a,1,1,1))]. given #10213 (H,wt=27): 11200 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(297(a,1),11188(a,1,1)),flip(a)]. given #10214 (H,wt=27): 11201 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(199,a,8495,a(flip),b,11200,a)]. given #10215 (H,wt=27): 11202 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7717(a,1),11201(a,1,2,1,1))]. given #10216 (H,wt=27): 11203 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8450(a,1),11202(a,1,2,1))]. given #10217 (H,wt=25): 11204 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4660(a,2),11203(a,1,2))]. given #10218 (H,wt=25): 11205 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(199,a,8662,a,b,11204,a(flip)),flip(a)]. given #10219 (H,wt=23): 11206 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7737(a,1),11205(a,1,1))]. given #10220 (H,wt=23): 11207 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(10611,a,11206,a)]. given #10221 (H,wt=19): 11208 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(199,a,11174,a(flip),b,11207,a(flip))]. given #10222 (H,wt=17): 11209 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4652,a(flip),b,11208,a)]. given #10223 (H,wt=21): 11210 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(11185,a,11209,a)]. given #10224 (H,wt=19): 11211 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(11210(a,1),11190(a,1,2))]. given #10225 (H,wt=17): 11212 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(71,a,11211,a),flip(a)]. given #10226 (H,wt=17): 11213 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(199,a,11209,a,b,11212,a)]. given #10227 (H,wt=17): 11214 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7732(a,1),11212(a,1,1))]. given #10228 (H,wt=17): 11215 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(4738(a,1),11213(a,2,1,1))]. given #10229 (H,wt=45): 1471 ((x * L(y,z,u)) / L(y,z,u)) * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). [para(1460(a,1),1303(a,1,1,2,1)),flip(a)]. given #10230 (H,wt=35): 11216 x * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). [para(15(a,1),1471(a,1,1))]. given #10231 (H,wt=25): 11217 ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(x \ (x * y),w). [para(15(a,1),11216(a,1,2,1,1)),flip(a)]. given #10232 (H,wt=21): 11218 ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(y,w). [para(13(a,1),11217(a,2,2,1))]. given #10233 (H,wt=21): 11219 (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(11218(a,1),16(a,1,1))]. given #10234 (H,wt=19): 11220 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(105(a,1),11219(a,1,1)),flip(a)]. given #10235 (H,wt=27): 11221 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(11220(a,1),9163(a,1,2))]. given #10236 (H,wt=17): 11222 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(597,a,11221,a),flip(a)]. given #10237 (H,wt=20): 11223 x \ R(x,y,L(x,z,u)) != w | a(x,y,L(x,z,u)) = w. [para(11221(a,1),597(a,1))]. given #10238 (H,wt=20): 11225 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(11222(a,1),8504(a,1,2))]. given #10239 (H,wt=12): 11226 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(17,a,10415,a(flip),b,11225,a)]. given #10240 (H,wt=18): 11228 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11226(a,2),10855(a,2,2))]. given #10241 (H,wt=26): 11224 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(6200(a,1),11222(a,1,2)),flip(a)]. given #10242 (H,wt=24): 11230 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(9766(a,1),11224(a,2,2))]. given #10243 (H,wt=22): 11231 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(199,a,11222,a(flip),b,11230,a)]. given #10244 (H,wt=17): 11232 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(6547,a,11231,a)]. given #10245 (H,wt=17): 11233 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(40(a,2),11232(a,1,3))]. given #10246 (H,wt=27): 11234 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(199,a,2513,a(flip),b,11233,a(flip)),flip(a)]. given #10247 (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(199,a,9164,a(flip),b,11234,a(flip)),flip(a)]. given #10248 (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(199,a,10081,a,b,11235,a(flip)),flip(a)]. given #10249 (H,wt=30): 11229 (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(10535(a,1),11228(a,1,2))]. given #10250 (H,wt=25): 11237 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(199,a,10941,a(flip),b,11229,a(flip))]. given #10251 (H,wt=22): 11238 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(281(a,1),11237(a,1,2,3))]. given #10252 (H,wt=18): 11239 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(9324,a,11238,a)]. given #10253 (H,wt=17): 11240 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(10896,a,11239,a)]. given #10254 (H,wt=17): 11242 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),11240(a,1,2)),flip(a)]. given #10255 (H,wt=19): 11243 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(11242(a,1),9395(a,1,2)),flip(a)]. given #10256 (H,wt=22): 11241 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(199,a,10938,a(flip),b,11239,a(flip))]. given #10257 (H,wt=22): 11246 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(11241(a,1),9450(a,1,1))]. given #10258 (H,wt=22): 11247 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(9439,a,11246,a)]. given #10259 (H,wt=23): 11244 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(11242(a,1),9407(a,1,2)),flip(a)]. given #10260 (H,wt=29): 11245 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(199,a,9466,a(flip),b,11243,a(flip))]. given #10261 (H,wt=25): 11248 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(9238(a,1),11245(a,1,2,1)),flip(a)]. given #10262 (H,wt=25): 11249 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(199,a,11244,a,b,11248,a)]. given #10263 (H,wt=36): 11251 (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(11249(a,1),10538(a,2,1,1))]. given #10264 (H,wt=30): 11252 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(10826(a,1),11251(a,2,1))]. given #10265 (H,wt=28): 11254 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11242(a,1),11252(a,2,1,1))]. given #10266 (H,wt=26): 11255 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7036(a,1),11254(a,1,1,1))]. given #10267 (H,wt=26): 11257 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10885(a,1),11255(a,1,1))]. given #10268 (H,wt=20): 11258 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(9220(a,1),11257(a,1,1)),flip(a)]. given #10269 (H,wt=27): 11260 (R(a(x,y,x),z,u) * z) * u != w * v5 | w \ ((z * a(x,y,x)) * u) = v5. [para(11258(a,2),492(a,1))]. given #10270 (H,wt=28): 11259 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(68,a,11258,a(flip),b,598,a)]. given #10271 (H,wt=19): 11261 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(9820,a,11259,a),flip(a)]. given #10272 (H,wt=17): 11262 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(9308(a,1),11261(a,2,2))]. given #10273 (H,wt=12): 11263 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(199,a,9313,a(flip),b,11262,a)]. given #10274 (H,wt=12): 11266 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,11263,a)]. given #10275 (H,wt=31): 11267 (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(11266(a,1),10008(a,1,2))]. given #10276 (H,wt=23): 11268 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(9340(a,1),11267(a,1,1,2,1))]. given #10277 (H,wt=16): 11269 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(437,a,11268,a),flip(a)]. given #10278 (H,wt=12): 11271 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,9310,a(flip),b,11269,a)]. given #10279 (H,wt=9): 11280 L(x,y,a(z,u,z)) = x. [para(11271(a,1),11266(a,1,3))]. given #10280 (H,wt=12): 11274 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(199,a,11240,a(flip),b,11271,a(flip)),flip(a)]. given #10281 (H,wt=15): 11278 a(x,y,x) != z | R(a(x,y,x),u,w) = z. [para(11271(a,1),6203(a,1))]. given #10282 (H,wt=15): 11285 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(199,a,11226,a,b,11274,a)]. given #10283 (H,wt=16): 11275 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(199,a,9408,a(flip),b,11271,a(flip))]. given #10284 (H,wt=17): 11276 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(11271(a,1),101(a,1,1)),flip(a)]. given #10285 (H,wt=17): 11277 a(x,y,x) \ (z * u) = (a(x,y,x) \ z) * u. [para(11271(a,1),421(a,1,1))]. given #10286 (H,wt=17): 11282 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(11280(a,1),456(a,1,2))]. given #10287 (H,wt=17): 11288 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(10719,a,11285,a),flip(a)]. given #10288 (H,wt=17): 11293 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(9310(a,1),11276(a,1,1))]. given #10289 (H,wt=17): 11294 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(14(a,1),11282(a,1,1)),flip(a)]. given #10290 (H,wt=17): 11298 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [hyper(199,a,9310,a(flip),b,11293,a)]. given #10291 (H,wt=17): 11299 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(73,a,11294,a),flip(a)]. given #10292 (H,wt=19): 11286 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(11274(a,1),11247(a,1,2)),flip(a)]. given #10293 (H,wt=14): 11301 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(199,a,9227,a(flip),b,11286,a)]. given #10294 (H,wt=15): 11304 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(421(a,1),11301(a,1,2)),flip(a)]. given #10295 (H,wt=15): 11305 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(9704,a,11304,a),flip(a)]. given #10296 (H,wt=19): 11296 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(32(a,1),11288(a,1,2))]. given #10297 (H,wt=20): 11300 (x * a(y,z,y)) * u != w * a(y,z,y) | x * u = w. [para(11298(a,2),20(a,1))]. given #10298 (H,wt=20): 11303 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(9440,a,11301,a),flip(a)]. given #10299 (H,wt=16): 11308 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(199,a,9841,a(flip),b,11303,a(flip)),flip(a)]. given #10300 (H,wt=14): 11309 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(199,a,10965,a(flip),b,11308,a(flip)),flip(a)]. given #10301 (H,wt=17): 11313 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(199,a,11152,a(flip),b,11309,a(flip)),flip(a)]. given #10302 (H,wt=21): 11287 (x * R(y,z,y)) / (x * y) != u | R(a(y,z,y),w,v5) = u. [para(10863(a,2),11278(a,1))]. given #10303 (H,wt=23): 11306 K(x / y,((x / y) \ x) * z) = K(y \ x,((x / y) \ z) * x). [hyper(199,a,9935,a(flip),b,11305,a)]. given #10304 (H,wt=19): 11316 K(x \ y,((y / x) \ z) * y) = K(y / x,x * z). [para(63(a,1),11306(a,1,2,1)),flip(a)]. given #10305 (H,wt=19): 11317 K(x \ y,((y / x) \ z) * y) = K(x \ y,z * x). [hyper(199,a,9934,a(flip),b,11316,a)]. given #10306 (H,wt=24): 11292 ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,u,w). [para(11276(a,1),30(a,2,1,1)),flip(a)]. given #10307 (H,wt=24): 11297 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(4656,a,11293,a)]. given #10308 (H,wt=24): 11319 (a(x,y,x) * ((z * u) * w)) / (u * w) = R(a(x,y,x) * z,u,w). [para(11276(a,1),11292(a,1,1))]. given #10309 (H,wt=24): 11320 a(x,y,x) * (((z * u) * w) / (u * w)) = R(a(x,y,x) * z,u,w). [hyper(199,a,11282,a(flip),b,11319,a(flip)),flip(a)]. given #10310 (H,wt=19): 11321 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(30(a,2),11320(a,1,2)),flip(a)]. given #10311 (H,wt=23): 11322 R(a(x,y,x) * z,u,w) * v5 = a(x,y,x) * (R(z,u,w) * v5). [para(11321(a,2),11276(a,1,1))]. given #10312 (H,wt=23): 11323 R(x * a(y,z,y),u,w) * v5 = a(y,z,y) * (R(x,u,w) * v5). [para(9310(a,1),11322(a,1,1,1))]. given #10313 (H,wt=20): 11324 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [hyper(199,a,9241,a(flip),b,11323,a(flip))]. given #10314 (H,wt=12): 11325 a(x,R(y,z,u),x) = a(x,y,x). [hyper(18,a,9187,a,b,11324,a),flip(a)]. given #10315 (H,wt=15): 11326 R(a(x,y,x),z,u) = a(x,R(y,w,v5),x). [hyper(199,a,11271,a,b,11325,a),flip(a)]. given #10316 (H,wt=15): 11328 a(x,R(y,z,u),x) != w | a(x,y,x) = w. [para(11326(a,1),294(a,1)),flip(b)]. given #10317 (H,wt=15): 11329 R(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(11326(a,2),11328(a,1))]. given #10318 (H,wt=15): 11331 a(x,y,R(x,z,u)) != w | a(x,y,x) = w. [para(11240(a,1),11329(a,1))]. given #10319 (H,wt=18): 11327 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(11325(a,1),9207(a,1,1)),flip(a)]. given #10320 (H,wt=16): 11332 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(199,a,9207,a(flip),b,11327,a)]. given #10321 (H,wt=19): 11330 L(a(x,y,x),y,z) != u | a(x,y * K(z,y),x) = u. [para(9408(a,1),11329(a,1))]. given #10322 (H,wt=25): 11290 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5409(a,1),11275(a,1,2)),flip(a)]. given #10323 (H,wt=25): 11307 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(199,a,11236,a,b,11296,a(flip)),flip(a)]. given #10324 (H,wt=23): 11334 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(199,a,10335,a(flip),b,11307,a(flip))]. given #10325 (H,wt=25): 11315 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(199,a,10673,a(flip),b,11313,a(flip))]. given #10326 (H,wt=21): 11336 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(199,a,10741,a(flip),b,11315,a(flip)),flip(a)]. given #10327 (H,wt=13): 11337 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5721(a,1),11336(a,1,1))]. given #10328 (H,wt=13): 11343 R(K(x,y),y,z) != u | K(x,y) = u. [para(11337(a,2),9816(a,1))]. given #10329 (H,wt=20): 11339 K(x,R(K(y,z),u,w)) != v5 | K(x,K(z,R(y,u,w))) = v5. [para(11337(a,2),5289(a,1,2))]. given #10330 (H,wt=20): 11341 R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5. [para(11337(a,2),7766(a,1))]. given #10331 (H,wt=23): 11342 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(11337(a,1),9034(a,1,1,1,2))]. given #10332 (H,wt=23): 11344 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(10661,a,11342,a)]. given #10333 (H,wt=13): 11345 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(140,a,11344,a),flip(a)]. given #10334 (H,wt=13): 11347 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(199,a,11337,a(flip),b,11345,a(flip)),flip(a)]. given #10335 (H,wt=16): 11346 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(11344(a,1),140(a,1))]. given #10336 (H,wt=16): 11356 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(11337(a,1),11346(a,1))]. given #10337 (H,wt=20): 11355 R(K(x,K(y,z)),u,w) != v5 | K(y,R(K(x,z),u,w)) = v5. [para(7732(a,1),11346(a,1,1))]. given #10338 (H,wt=22): 11353 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6557,a,11347,a),flip(a)]. given #10339 (H,wt=22): 11357 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(11356,a,11353,a)]. given #10340 (H,wt=24): 11351 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(11345(a,1),11193(a,2,1,2))]. given #10341 (H,wt=22): 11358 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4652(a,2),11351(a,2,1))]. given #10342 (H,wt=25): 11352 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(11345(a,1),11198(a,1,2,2))]. given #10343 (H,wt=19): 11359 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(8572,a,11352,a)]. given #10344 (H,wt=19): 11360 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(199,a,9092,a,b,11359,a(flip)),flip(a)]. given #10345 (H,wt=19): 11361 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(2964(a,1),11360(a,1,1))]. given #10346 (H,wt=15): 11362 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(11189,a,11361,a)]. given #10347 (H,wt=19): 11363 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(11362(a,2),11213(a,2,1)),flip(a)]. given #10348 (H,wt=19): 11364 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(199,a,11215,a,b,11363,a(flip)),flip(a)]. given #10349 (H,wt=26): 11281 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(z,u,w). [hyper(199,a,411,a,b,11280,a(flip)),flip(a)]. given #10350 (H,wt=26): 11365 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(z,u,w). [para(11276(a,2),11281(a,1,2))]. given #10351 (H,wt=26): 11366 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(z,u,w). [para(11276(a,2),11365(a,1,2,1))]. given #10352 (H,wt=26): 11367 ((a(x,y,x) * z) * (u * w)) \ (((a(x,y,x) * z) * u) * w) = a(z,u,w). [para(11276(a,2),11366(a,1,1))]. given #10353 (H,wt=14): 11368 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(597,a,11367,a)]. given #10354 (H,wt=14): 11369 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),11368(a,1,1)),flip(a)]. given #10355 (H,wt=12): 11372 a(L(x,y,x),z,u) = a(x,z,u). [para(9218(a,1),11369(a,1,1))]. given #10356 (H,wt=15): 11370 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(9204(a,1),11368(a,1,1))]. given #10357 (H,wt=15): 11371 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9199(a,1),11368(a,1,1))]. given #10358 (H,wt=15): 11373 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9167(a,1),11369(a,1,1))]. given #10359 (H,wt=15): 11374 a(T(x \ y,y),z,u) = a(y / x,z,u). [para(681(a,1),11372(a,1,1))]. given #10360 (H,wt=19): 11376 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(9722(a,1),11373(a,1,1))]. given #10361 (H,wt=23): 11375 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(7275(a,2),11371(a,2,1)),flip(a)]. given #10362 (H,wt=21): 11377 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(9874(a,1),11375(a,2,1))]. given #10363 (H,wt=19): 11378 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(199,a,11376,a(flip),b,11377,a)]. given #10364 (H,wt=17): 11379 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(104(a,1),11378(a,1,1,1,2))]. given #10365 (H,wt=15): 11380 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(199,a,11370,a(flip),b,11379,a(flip))]. given #10366 (H,wt=15): 11382 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(3381(a,1),11380(a,1,1)),flip(a)]. given #10367 (H,wt=21): 11381 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(199,a,11169,a,b,11380,a(flip)),flip(a)]. given #10368 (H,wt=21): 11383 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(11347(a,1),11380(a,2,1))]. given #10369 (H,wt=27): 11384 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(9988(a,2),11382(a,2,1)),flip(a)]. given #10370 (H,wt=25): 11385 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(5731(a,1),11384(a,2,1))]. given #10371 (H,wt=23): 11386 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(199,a,11382,a(flip),b,11385,a)]. given #10372 (H,wt=21): 11387 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(9988(a,1),11386(a,1,1))]. given #10373 (H,wt=21): 11388 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(11347(a,1),11387(a,2,1))]. given #10374 (H,wt=29): 11291 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(11276(a,1),28(a,2,1)),flip(a)]. given #10375 (H,wt=29): 11389 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(11276(a,1),11291(a,1,2))]. given #10376 (H,wt=22): 11390 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(719,a,11389,a)]. given #10377 (H,wt=14): 11391 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(199,a,11280,a(flip),b,11390,a(flip))]. given #10378 (H,wt=14): 11393 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(14(a,1),11391(a,1,3)),flip(a)]. given #10379 (H,wt=12): 11397 L(x,y,L(z,u,z)) = L(x,y,z). [para(9218(a,1),11393(a,1,3))]. given #10380 (H,wt=14): 11395 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(9310(a,1),11391(a,1,3))]. given #10381 (H,wt=14): 11399 L(x,y,T(z,y)) = L(x,y,L(z,u,z)). [hyper(199,a,9994,a,b,11397,a),flip(a)]. given #10382 (H,wt=15): 11394 L(x,y,K(z,z * u)) = L(x,y,K(z,u)). [para(9185(a,1),11391(a,1,3)),flip(a)]. given #10383 (H,wt=12): 11402 L(x * y,z,K(x,y)) = x * y. [hyper(7477,a,11394,a)]. given #10384 (H,wt=15): 11398 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(9167(a,1),11393(a,1,3))]. given #10385 (H,wt=10): 11404 L(x,y / z,K(y,z)) = x. [hyper(7242,a,11398,a)]. given #10386 (H,wt=15): 11400 L(x,y,T(z * (u / z),z)) = L(x,y,u). [para(9202(a,1),11395(a,1,3))]. given #10387 (H,wt=15): 11401 L(x,y,L(z,u,z)) != w | L(x,y,z) = w. [para(11399(a,1),10017(a,1))]. given #10388 (H,wt=15): 11406 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(59(a,1),11400(a,1,3,1)),flip(a)]. given #10389 (H,wt=15): 11407 L(x,y,z * (u / z)) = L(x,y,T(u,z)). [para(193(a,1),11406(a,1,3))]. given #10390 (H,wt=17): 11405 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(11404(a,1),5300(a,1,2)),flip(a)]. given #10391 (H,wt=17): 11408 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5037,a,11405,a)]. given #10392 (H,wt=12): 11409 R(K(x,y),x \ y,z) = K(x,y). [hyper(8595,a,11408,a)]. given #10393 (H,wt=14): 11410 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),11409(a,1,2))]. given #10394 (H,wt=16): 11412 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(199,a,10737,a,b,11410,a(flip)),flip(a)]. given #10395 (H,wt=18): 11413 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(11410(a,1),9692(a,2,2))]. given #10396 (H,wt=16): 11416 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(199,a,4652,a,b,11413,a)]. given #10397 (H,wt=15): 11418 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(199,a,4287,a(flip),b,11416,a(flip)),flip(a)]. given #10398 (H,wt=15): 11419 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),11418(a,1,2,1,2))]. given #10399 (H,wt=15): 11420 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(199,a,8867,a,b,11419,a(flip)),flip(a)]. given #10400 (H,wt=17): 11421 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(199,a,4652,a(flip),b,11420,a),flip(a)]. given #10401 (H,wt=15): 11422 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,4652,a(flip),b,11421,a),flip(a)]. given #10402 (H,wt=15): 11423 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(8851,a,11422,a)]. given #10403 (H,wt=19): 11403 (K(x,y) * z) * (x * y) = K(x,y) * (z * (x * y)). [para(11402(a,1),92(a,1,2))]. given #10404 (H,wt=19): 11426 (x * y) \ (z * (y * x)) = T(K(y,x) * z,y * x). [hyper(154,a,11403,a,b,9882,a),flip(a)]. given #10405 (H,wt=19): 11428 (x * y) \ (z * (y * x)) = T(K(x,y) * z,y * x). [para(4738(a,1),11426(a,2,1,1))]. given #10406 (H,wt=23): 11424 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(11422(a,1),7263(a,1,1,2))]. given #10407 (H,wt=19): 11429 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(7514,a,11424,a),flip(a)]. given #10408 (H,wt=19): 11430 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(199,a,8176,a(flip),b,11429,a(flip)),flip(a)]. given #10409 (H,wt=19): 11431 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9011,a,11430,a)]. given #10410 (H,wt=23): 11425 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(11423(a,1),5835(a,1,1))]. given #10411 (H,wt=21): 11432 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(199,a,5835,a(flip),b,11425,a(flip))]. given #10412 (H,wt=24): 11396 ((a(x,y,x) \ z) * u) * L(w,u,z) = (a(x,y,x) \ z) * (u * w). [para(11393(a,1),92(a,1,2))]. given #10413 (H,wt=24): 11415 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(11412(a,1),10742(a,1,1))]. given #10414 (H,wt=24): 11433 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(199,a,11423,a(flip),b,11415,a)]. given #10415 (H,wt=19): 11435 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),11433(a,2,2,2))]. given #10416 (H,wt=19): 11436 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(11346,a,11435,a)]. given #10417 (H,wt=26): 11427 K(x,y) * (z * (x * y)) != (x * y) * u | T(K(x,y) * z,x * y) = u. [para(11403(a,1),155(a,2)),flip(a)]. given #10418 (H,wt=31): 11333 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(199,a,10374,a(flip),b,11290,a(flip)),flip(a)]. given #10419 (H,wt=30): 11437 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4741(a,1),11333(a,2,2))]. given #10420 (H,wt=25): 11438 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9197,a,11437,a)]. given #10421 (H,wt=45): 5254 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(4816(a,1),661(a,1,1))]. given #10422 (H,wt=33): 11439 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(199,a,5741,a(flip),b,5254,a(flip))]. given #10423 (H,wt=29): 11441 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(199,a,5857,a(flip),b,11439,a(flip)),flip(a)]. given #10424 (H,wt=29): 11442 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(199,a,6667,a(flip),b,11441,a(flip)),flip(a)]. given #10425 (H,wt=25): 11443 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(15(a,1),11442(a,1,2,1))]. given #10426 (H,wt=25): 11444 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(199,a,8153,a(flip),b,11443,a(flip)),flip(a)]. given #10427 (H,wt=25): 11445 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(199,a,7695,a(flip),b,11444,a)]. given #10428 (H,wt=45): 6109 (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(5944(a,1),4396(a,1,2,1))]. given #10429 (H,wt=46): 5160 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(4595(a,1),2590(a,2,1,2,1))]. given #10430 (H,wt=44): 11446 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(4871(a,1),5160(a,1,1))]. given #10431 (H,wt=42): 11447 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(4871(a,1),11446(a,1,2,1,1)),flip(a)]. given #10432 (H,wt=40): 11448 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(4912(a,1),11447(a,2,2,1))]. given #10433 (H,wt=40): 11449 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(5703(a,1),11448(a,2,2))]. given #10434 (H,wt=38): 11450 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(4600(a,1),11449(a,1,1,1)),flip(a)]. given #10435 (H,wt=38): 11451 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(5703(a,1),11450(a,2,1,2))]. given #10436 (H,wt=29): 11452 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(199,a,11169,a(flip),b,11451,a(flip))]. given #10437 (H,wt=27): 11453 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(199,a,11383,a(flip),b,11452,a)]. given #10438 (H,wt=19): 11454 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(11381(a,1),11453(a,1,1)),flip(a)]. given #10439 (H,wt=46): 10150 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(10148(a,1),9176(a,1,1))]. given #10440 (H,wt=36): 11455 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(4828(a,1),10150(a,1,2)),flip(a)]. given #10441 (H,wt=28): 11456 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(199,a,11334,a,b,11455,a)]. given #10442 (H,wt=23): 11458 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(32(a,2),11456(a,1,2))]. given #10443 (H,wt=18): 11459 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9211,a,11458,a)]. given #10444 (H,wt=15): 11460 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(199,a,11274,a(flip),b,11459,a)]. given #10445 (H,wt=12): 11461 L(a(x,y,x),z,u) = a(x,y,x). [hyper(199,a,10891,a(flip),b,11460,a(flip)),flip(a)]. given #10446 (H,wt=13): 11462 a(x,y * K(z,y),x) = a(x,y,x). [hyper(11330,a,11461,a)]. given #10447 (H,wt=11): 11468 a(x,T(y,z),x) = a(x,y,x). [para(4685(a,2),11462(a,1,2))]. given #10448 (H,wt=13): 11469 a(x,y / z,x) = a(x,z \ y,x). [para(4665(a,1),11462(a,1,2))]. given #10449 (H,wt=15): 11475 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(199,a,10269,a(flip),b,11469,a)]. given #10450 (H,wt=17): 11465 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(11461(a,1),92(a,1,2))]. given #10451 (H,wt=9): 11477 R(x,y,a(z,u,z)) = x. [hyper(4509,a,11465,a)]. given #10452 (H,wt=11): 11482 R(x,y,T(a(z,u,z),w)) = x. [para(9308(a,2),11477(a,1,3))]. given #10453 (H,wt=17): 11478 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(522,a,11465,a)]. given #10454 (H,wt=15): 11484 (x \ y) * a(y,z,y) = x \ L(y,z,y). [para(9183(a,1),11478(a,1,2)),flip(a)]. given #10455 (H,wt=17): 11479 (x * y) * a(z,u,z) = x * (a(z,u,z) * y). [para(9310(a,2),11465(a,2,2))]. given #10456 (H,wt=17): 11487 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [hyper(9314,a,11479,a)]. given #10457 (H,wt=17): 11488 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(18,a,11298,a(flip),b,11479,a)]. given #10458 (H,wt=9): 11492 L(x,a(y,z,y),u) = x. [hyper(391,a,11488,a)]. given #10459 (H,wt=15): 11494 L(x,a(y,z,y),u) = L(x,w,a(v5,v6,v5)). [hyper(199,a,11280,a,b,11492,a)]. given #10460 (H,wt=12): 11495 L(x,y,a(z,u,z)) != w | w = x. [para(11494(a,1),3860(a,1))]. given #10461 (H,wt=17): 11489 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [hyper(499,a,11487,a)]. given #10462 (H,wt=15): 11496 a(x,y,x) * (z \ x) = z \ R(x,y,x). [para(9179(a,1),11489(a,1,2)),flip(a)]. given #10463 (H,wt=17): 11490 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(68,a,80,a(flip),b,11487,a)]. given #10464 (H,wt=17): 11493 a(x,y,x) * ((z * a(x,y,x)) \ u) = z \ u. [hyper(328,a,11488,a),flip(a)]. given #10465 (H,wt=17): 11498 (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). [hyper(199,a,11277,a(flip),b,11490,a(flip)),flip(a)]. given #10466 (H,wt=18): 11480 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(9443,a,11477,a)]. given #10467 (H,wt=12): 11501 T(x,y * a(z,u,z)) = T(x,y). [hyper(11495,a,11480,a)]. given #10468 (H,wt=13): 11505 T(x,T(y,z) / z) = T(x,z \ y). [para(9192(a,1),11501(a,1,2))]. given #10469 (H,wt=13): 11510 T(x,y \ T(z,y)) = T(x,z / y). [para(47(a,1),11505(a,1,2,1)),flip(a)]. given #10470 (H,wt=13): 11511 T(x,T(y,z) \ z) = T(x,z / y). [para(3935(a,2),11510(a,1,2))]. given #10471 (H,wt=14): 11503 T(x,y * a(z,u,z)) = x * K(x,y). [hyper(199,a,4652,a(flip),b,11501,a)]. given #10472 (H,wt=12): 11513 K(x,y * a(z,u,z)) = K(x,y). [hyper(4708,a,11503,a)]. given #10473 (H,wt=12): 11514 K(x,a(y,z,y) \ u) = K(x,u). [para(9307(a,1),11513(a,1,2)),flip(a)]. given #10474 (H,wt=12): 11515 K(x,a(y,z,y) * u) = K(x,u). [para(9310(a,2),11513(a,1,2))]. given #10475 (H,wt=12): 11520 K(x,a(y,z,y) * u) = K(u,x). [hyper(199,a,4738,a,b,11515,a)]. given #10476 (H,wt=12): 11526 K(a(x,y,x) * z,u) = K(z,u). [hyper(4862,a,11520,a)]. given #10477 (H,wt=12): 11528 K(x * a(y,z,y),u) = K(x,u). [para(9310(a,1),11526(a,1,1))]. given #10478 (H,wt=13): 11521 K(x,T(y,z) \ z) = K(x,z / y). [para(9330(a,1),11515(a,1,2))]. given #10479 (H,wt=13): 11532 K(T(x,y) / y,z) = K(y \ x,z). [para(9192(a,1),11528(a,1,1))]. given #10480 (H,wt=13): 11534 K(x,y / T(z,y)) = K(x,z \ y). [para(47(a,1),11521(a,1,2,1)),flip(a)]. given #10481 (H,wt=14): 11504 T(x,y * L(z,u,z)) = T(x,y * z). [para(9217(a,1),11501(a,1,2)),flip(a)]. given #10482 (H,wt=14): 11506 T(x,L(y,z,y) * u) = T(x,y * u). [para(10867(a,1),11501(a,1,2))]. given #10483 (H,wt=14): 11508 T(x,y \ L(z,u,z)) = T(x,y \ z). [para(11484(a,1),11501(a,1,2))]. given #10484 (H,wt=14): 11516 K(x,y * R(z,u,z)) = K(x,y * z). [para(10857(a,1),11513(a,1,2))]. given #10485 (H,wt=14): 11518 K(x,y \ L(z,u,z)) = K(x,y \ z). [para(11484(a,1),11513(a,1,2))]. given #10486 (H,wt=14): 11522 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(10878(a,1),11515(a,1,2)),flip(a)]. given #10487 (H,wt=15): 11527 K(x,a(y,z,y) * u) != w | K(x,u) = w. [para(11520(a,2),4862(a,1))]. given #10488 (H,wt=15): 11537 K(x,(y \ z) \ 1) = K(x,y / T(z,y)). [hyper(199,a,6005,a,b,11534,a),flip(a)]. given #10489 (H,wt=16): 11507 T(x,y * (z * a(u,w,u))) = T(x,y * z). [para(11465(a,1),11501(a,1,2))]. given #10490 (H,wt=16): 11509 T(x,y * (a(z,u,z) * w)) = T(x,y * w). [para(11479(a,1),11501(a,1,2))]. given #10491 (H,wt=16): 11519 K(x,y * (a(z,u,z) * w)) = K(x,y * w). [para(11479(a,1),11513(a,1,2))]. given #10492 (H,wt=16): 11523 K(x,(a(y,z,y) * u) * w) = K(x,u * w). [para(11276(a,2),11515(a,1,2))]. given #10493 (H,wt=16): 11524 K(x,(a(y,z,y) * u) / w) = K(x,u / w). [para(11282(a,2),11515(a,1,2))]. given #10494 (H,wt=16): 11525 K(x,(y * a(z,u,z)) \ w) = K(x,y \ w). [para(11493(a,1),11515(a,1,2)),flip(a)]. given #10495 (H,wt=16): 11548 K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. [para(9199(a,1),11527(a,1,2))]. given #10496 (H,wt=16): 11549 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(9330(a,1),11527(a,1,2))]. given #10497 (H,wt=16): 11551 K(x,y / T(z,y)) != u | K(x,z \ y) = u. [para(11537(a,1),6055(a,1))]. given #10498 (H,wt=16): 11563 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(9310(a,2),11525(a,1,2,1))]. given #10499 (H,wt=16): 11567 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(3935(a,1),11549(a,1,2))]. given #10500 (H,wt=16): 11568 K(x,y / z) != u | K(x,T(z,y) \ y) = u. [para(47(a,1),11551(a,1,2,2))]. given #10501 (H,wt=16): 11569 K(x,T(y,z) / z) != u | K(x,z \ y) = u. [para(3933(a,2),11551(a,1,2))]. given #10502 (H,wt=17): 11535 K(x,T(T(y,z) \ z,u)) = T(K(x,z / y),u). [para(11521(a,1),7084(a,2,1))]. given #10503 (H,wt=17): 11536 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(11532(a,1),9041(a,2,2))]. given #10504 (H,wt=17): 11538 T(x,y * T(z / u,z)) = T(x,y * (u \ z)). [para(3920(a,1),11504(a,1,2,2))]. given #10505 (H,wt=15): 11574 T(x,y * (x / z)) = T(x,y * (z \ x)). [hyper(6856,a,11538,a)]. given #10506 (H,wt=17): 11541 T(x,((y \ z) \ z) * u) = T(x,T(y,z) * u). [para(10944(a,1),11506(a,1,2,1)),flip(a)]. given #10507 (H,wt=17): 11542 T(x,y \ ((z \ u) \ u)) = T(x,y \ T(z,u)). [para(10944(a,1),11508(a,1,2,2)),flip(a)]. given #10508 (H,wt=17): 11543 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(7482(a,1),11516(a,1,2,2))]. given #10509 (H,wt=17): 11544 K(x,y \ T(z / u,z)) = K(x,y \ (u \ z)). [para(3920(a,1),11518(a,1,2,2))]. given #10510 (H,wt=15): 11578 K(x,(y / z) / y) = K(x,y \ (z \ y)). [hyper(11567,a,11544,a)]. given #10511 (H,wt=15): 11580 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(199,a,8599,a,b,11578,a)]. given #10512 (H,wt=17): 11545 K(x,y \ ((z \ u) \ u)) = K(x,y \ T(z,u)). [para(10944(a,1),11518(a,1,2,2)),flip(a)]. given #10513 (H,wt=17): 11546 K(x,T(y,y * z) \ u) = K(x,T(y,z) \ u). [para(4061(a,1),11522(a,1,2,1)),flip(a)]. given #10514 (H,wt=17): 11547 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(7482(a,1),11522(a,1,2,1))]. given #10515 (H,wt=17): 11550 K(x,y * L(z,u,z)) != w | K(x,y * z) = w. [para(10870(a,1),11527(a,1,2))]. given #10516 (H,wt=17): 11552 T(x,y * (T(z,u) / u)) = T(x,y * (u \ z)). [para(9192(a,1),11507(a,1,2,2))]. given #10517 (H,wt=17): 11553 T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). [para(9330(a,1),11509(a,1,2,2))]. given #10518 (H,wt=17): 11554 K(x,y * K(z,z \ u)) = K(x,y * K(z,u)). [para(9199(a,1),11519(a,1,2,2))]. given #10519 (H,wt=17): 11555 K(x,y * (T(z,u) \ u)) = K(x,y * (u / z)). [para(9330(a,1),11519(a,1,2,2))]. given #10520 (H,wt=17): 11556 K(x,T(y * z,y) * u) = K(x,(z * y) * u). [para(9187(a,1),11523(a,1,2,1))]. given #10521 (H,wt=17): 11557 K(x,K(y,y \ z) * u) = K(x,K(y,z) * u). [para(9199(a,1),11523(a,1,2,1))]. given #10522 (H,wt=17): 11560 K(x,T(y * z,y) / u) = K(x,(z * y) / u). [para(9187(a,1),11524(a,1,2,1))]. given #10523 (H,wt=17): 11561 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(9188(a,1),11525(a,1,2,1))]. given #10524 (H,wt=17): 11562 K(x,(T(y,z) / z) \ u) = K(x,(z \ y) \ u). [para(9192(a,1),11525(a,1,2,1))]. given #10525 (H,wt=17): 11570 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [para(9330(a,1),11563(a,1,2,1))]. given #10526 (H,wt=17): 11572 K(x,T(T(y,z) \ z,u)) = K(x,T(z / y,u)). [hyper(199,a,7084,a,b,11535,a)]. given #10527 (H,wt=17): 11576 T(x,T(y,y \ z) * u) = T(x,T(y,z) * u). [para(106(a,2),11541(a,1,2,1))]. given #10528 (H,wt=17): 11582 K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). [para(106(a,2),11545(a,1,2,2))]. given #10529 (H,wt=17): 11584 K(x,T(y \ z,z) \ u) = K(x,(z / y) \ u). [para(3915(a,1),11547(a,1,2,1)),flip(a)]. given #10530 (H,wt=17): 11587 K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). [para(14(a,1),11556(a,1,2,1,1)),flip(a)]. given #10531 (H,wt=17): 11588 K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). [para(4738(a,1),11557(a,2,2,1))]. given #10532 (H,wt=15): 11594 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(199,a,11557,a(flip),b,11588,a(flip))]. given #10533 (H,wt=15): 11598 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5008(a,2),11594(a,1,2))]. given #10534 (H,wt=17): 11590 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),11561(a,1,2,1,1)),flip(a)]. given #10535 (H,wt=17): 11593 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [para(193(a,1),11587(a,1,2,1))]. given #10536 (H,wt=17): 11595 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [para(4738(a,1),11588(a,1,2,1))]. given #10537 (H,wt=17): 11596 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4627,a,11594,a)]. given #10538 (H,wt=17): 11599 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(4961(a,1),11594(a,1,2)),flip(a)]. given #10539 (H,wt=17): 11601 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(193(a,1),11590(a,1,2,1))]. given #10540 (H,wt=17): 11605 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(4898(a,2),11599(a,1,2))]. given #10541 (H,wt=17): 11607 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [para(15(a,1),11601(a,1,2,1,2)),flip(a)]. given #10542 (H,wt=18): 11499 a(x,y,x) * (T(x * y,x) \ z) = (y * x) \ z. [para(9188(a,1),11493(a,1,2,1))]. given #10543 (H,wt=18): 11558 K(x,(y / L(z,u,z)) * w) = K(x,(y / z) * w). [para(9322(a,1),11523(a,1,2,1))]. given #10544 (H,wt=18): 11559 K(x,(y \ R(z,u,z)) * w) = K(x,(y \ z) * w). [para(11496(a,1),11523(a,1,2,1))]. given #10545 (H,wt=18): 11565 K(x,(y \ L(z,u,z)) \ w) = K(x,(y \ z) \ w). [para(11484(a,1),11525(a,1,2,1))]. given #10546 (H,wt=18): 11579 K(x,y \ (z \ y)) != u | K(x,(y / z) / y) = u. [para(11544(a,1),11567(a,1))]. given #10547 (H,wt=18): 11602 K(x,((y \ x) * y) \ z) != u | K(x,x \ z) = u. [para(11590(a,2),6850(a,1))]. given #10548 (H,wt=18): 11604 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(11596(a,1),4709(a,1))]. given #10549 (H,wt=18): 11608 K(x,(y * (x / y)) \ z) != u | K(x,x \ z) = u. [para(11601(a,2),6850(a,1))]. given #10550 (H,wt=19): 11472 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(169(a,1),11468(a,1,2)),flip(a)]. given #10551 (H,wt=19): 11485 (x \ (y \ z)) * a(y,u,y) = x \ (L(y,u,y) \ z). [para(9225(a,1),11478(a,1,2)),flip(a)]. given #10552 (H,wt=18): 11618 K(x,y \ (L(z,u,z) \ w)) = K(x,y \ (z \ w)). [para(11485(a,1),11513(a,1,2))]. given #10553 (H,wt=19): 11486 (x \ (y * z)) * a(y,u,y) = x \ (L(y,u,y) * z). [para(10867(a,1),11478(a,1,2)),flip(a)]. given #10554 (H,wt=18): 11620 K(x,y \ (L(z,u,z) * w)) = K(x,y \ (z * w)). [para(11486(a,1),11513(a,1,2))]. given #10555 (H,wt=17): 11621 K(x,y \ T(z * u,u)) = K(x,y \ (u * z)). [para(4037(a,1),11620(a,1,2,2))]. given #10556 (H,wt=17): 11622 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(16(a,1),11621(a,1,2,2,1)),flip(a)]. given #10557 (H,wt=18): 11624 K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u. [para(11621(a,1),6852(a,1))]. given #10558 (H,wt=18): 11626 K(x,(x \ y) \ z) != u | K(x,y \ (z * x)) = u. [para(6971(a,2),11624(a,1))]. given #10559 (H,wt=19): 11533 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [para(11528(a,1),11297(a,2,2))]. given #10560 (H,wt=17): 11627 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(199,a,4652,a,b,11533,a)]. given #10561 (H,wt=17): 11629 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(11627(a,1),14(a,1,2)),flip(a)]. given #10562 (H,wt=17): 11630 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [para(9310(a,2),11629(a,1,1))]. given #10563 (H,wt=16): 11631 K(x,T(a(y,z,y) * u,w)) = K(x,T(u,w)). [para(11630(a,2),11515(a,1,2))]. given #10564 (H,wt=18): 11632 K(x,T(L(y,z,y) * u,w)) = K(x,T(y * u,w)). [para(10877(a,1),11631(a,1,2,1))]. given #10565 (H,wt=19): 11589 K(x,K(y,z \ 1) * u) = K(x,K(y,z \ y) * u). [para(4850(a,1),11557(a,1,2,1))]. given #10566 (H,wt=19): 11591 T(x,(T(y,z) / z) \ u) = x * K(x,(z \ y) \ u). [para(11562(a,1),4652(a,2,2))]. given #10567 (H,wt=19): 11592 T(x,T(y,y \ z) * u) = T(x,K(z,y) * (y * u)). [para(5006(a,2),11576(a,2,2))]. given #10568 (H,wt=17): 11634 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [hyper(199,a,11576,a(flip),b,11592,a(flip))]. given #10569 (H,wt=17): 11635 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5113(a,1),11634(a,1,2))]. given #10570 (H,wt=15): 11636 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(150(a,1),11635(a,1,2,1)),flip(a)]. given #10571 (H,wt=19): 11603 K(x,K(y,z \ y) * u) = K(x,K(z,z \ y) * u). [para(4921(a,1),11595(a,1,2,1)),flip(a)]. given #10572 (H,wt=17): 11638 K(x,K(y,z \ y) * u) = K(x,K(y,z) * u). [hyper(199,a,11588,a(flip),b,11603,a)]. given #10573 (H,wt=17): 11639 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(199,a,11557,a(flip),b,11603,a)]. given #10574 (H,wt=17): 11640 K(x,K(y,z \ 1) * u) = K(x,K(y,z) * u). [hyper(199,a,11589,a,b,11638,a(flip)),flip(a)]. given #10575 (H,wt=17): 11641 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(199,a,11589,a,b,11639,a(flip)),flip(a)]. given #10576 (H,wt=17): 11645 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(11604,a,11641,a)]. given #10577 (H,wt=13): 11649 K(x,K(x \ 1,y) * z) = K(x,z). [hyper(199,a,6819,a(flip),b,11645,a)]. given #10578 (H,wt=13): 11652 K(x,y * K(z,x \ 1)) = K(x,y). [para(7317(a,1),11649(a,1,2)),flip(a)]. given #10579 (H,wt=15): 11651 T(x,K(x \ 1,y) * z) = x * K(x,z). [para(11649(a,1),4652(a,2,2))]. given #10580 (H,wt=13): 11656 T(x,K(x \ 1,y) * z) = T(x,z). [hyper(199,a,4652,a,b,11651,a)]. given #10581 (H,wt=15): 11657 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3085(a,1),11656(a,1,2,1))]. given #10582 (H,wt=15): 11658 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(4961(a,1),11656(a,1,2))]. given #10583 (H,wt=17): 11653 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(9123(a,1),11649(a,1,2))]. given #10584 (H,wt=17): 11654 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6005(a,1),11652(a,1,2,2))]. given #10585 (H,wt=19): 11606 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [para(5122(a,2),11599(a,1,2)),flip(a)]. given #10586 (H,wt=19): 11637 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(9968,a,11636,a),flip(a)]. given #10587 (H,wt=15): 11663 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(9929,a,11637,a),flip(a)]. given #10588 (H,wt=17): 11665 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(149(a,1),11663(a,1,2,2,1)),flip(a)]. given #10589 (H,wt=18): 11664 T(x,y * T(T(z,u),u)) != w | T(x,y * z) = w. [para(11637(a,1),9929(a,1))]. given #10590 (H,wt=16): 11667 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(105(a,1),11664(a,1,2))]. given #10591 (H,wt=19): 11642 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(199,a,11599,a(flip),b,11639,a(flip)),flip(a)]. given #10592 (H,wt=17): 11668 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(4961(a,1),11642(a,2,2))]. given #10593 (H,wt=19): 11644 K(x,K(y,z \ u) * w) = K(x,K(y,u \ z) * w). [para(6005(a,1),11640(a,1,2,1))]. given #10594 (H,wt=19): 11650 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(199,a,4599,a(flip),b,11645,a)]. given #10595 (H,wt=19): 11659 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5126(a,1),11656(a,1,2)),flip(a)]. given #10596 (H,wt=17): 11671 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(199,a,9548,a(flip),b,11659,a(flip))]. given #10597 (H,wt=19): 11661 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(7660(a,1),11653(a,1,2,2))]. given #10598 (H,wt=19): 11662 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(5950(a,1),11654(a,1,2))]. given #10599 (H,wt=19): 11666 T(x,y * ((z * u) / z)) = x * K(x,y * T(u,z)). [hyper(199,a,4652,a(flip),b,11665,a)]. given #10600 (H,wt=17): 11675 K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). [hyper(4708,a,11666,a)]. given #10601 (H,wt=13): 11676 K(x,y * T(z,y)) = K(x,z * y). [para(194(a,1),11675(a,1,2)),flip(a)]. given #10602 (H,wt=13): 11677 K(x,T(y,z) * z) = K(x,z * y). [para(47(a,1),11676(a,1,2,2)),flip(a)]. given #10603 (H,wt=19): 11669 K(x,T(y,z \ 1) \ u) = K(x,T(y,y * z) \ u). [para(6138(a,1),11668(a,1,2,1))]. given #10604 (H,wt=17): 11679 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [hyper(199,a,11546,a(flip),b,11669,a)]. given #10605 (H,wt=19): 11678 K(x,T(y \ z,u) * y) = K(x,y * T(z / y,u)). [para(167(a,1),11677(a,1,2,1))]. given #10606 (H,wt=20): 11473 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(448(a,1),11468(a,1,2)),flip(a)]. given #10607 (H,wt=20): 11497 a(x,x \ y,x) * (z \ K(x,y)) = z \ K(x,x \ y). [para(9199(a,1),11489(a,1,2)),flip(a)]. given #10608 (H,wt=20): 11564 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [para(11465(a,1),11525(a,1,2,1))]. given #10609 (H,wt=20): 11566 K(x,K(y,z \ (y \ u))) != w | K(x,K(y,z \ u)) = w. [para(9725(a,2),11548(a,1,2))]. given #10610 (H,wt=20): 11585 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(6844(a,1),11550(a,1,2,2))]. given #10611 (H,wt=20): 11616 K(x,K(y,y \ z) * u) != w | K(x,K(z,y) * u) = w. [para(11557(a,2),11604(a,1))]. given #10612 (H,wt=20): 11617 K(x,K(y,y \ z) * u) != w | K(x,K(y,z) * u) = w. [para(11588(a,2),11604(a,1))]. given #10613 (H,wt=20): 11633 T(x,(T(y,z) / z) \ u) != w | T(x,(z \ y) \ u) = w. [para(11591(a,2),4655(a,1))]. given #10614 (H,wt=20): 11648 K(x,K(y,z \ 1) * u) != w | K(x,K(y,z) * u) = w. [para(11641(a,2),11604(a,1))]. given #10615 (H,wt=20): 11670 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(11650(a,2),4709(a,1))]. given #10616 (H,wt=20): 11681 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(199,a,11472,a(flip),b,11473,a(flip)),flip(a)]. given #10617 (H,wt=21): 11483 (x / T(a(y,z,y),u)) / w = x / (w * T(a(y,z,y),u)). [hyper(199,a,441,a(flip),b,11482,a(flip))]. given #10618 (H,wt=19): 11685 x / (y * T(a(z,u,z),w)) = (a(z,u,z) \ x) / y. [para(9321(a,1),11483(a,1,1)),flip(a)]. given #10619 (H,wt=19): 11686 x / (y * T(a(z,u,z),w)) = a(z,u,z) \ (x / y). [hyper(199,a,11299,a(flip),b,11685,a)]. given #10620 (H,wt=17): 11688 x / (y * a(z,u,z)) = a(z,u,z) \ (x / y). [para(104(a,1),11686(a,1,2,2))]. given #10621 (H,wt=16): 11689 K(x,y / (z * a(u,w,u))) = K(x,y / z). [para(11688(a,2),11514(a,1,2))]. given #10622 (H,wt=18): 11690 K(x,y / (L(z,u,z) * w)) = K(x,y / (z * w)). [para(10867(a,1),11689(a,1,2,2))]. given #10623 (H,wt=17): 11691 K(x,y / T(z * u,u)) = K(x,y / (u * z)). [para(4037(a,1),11690(a,1,2,2))]. given #10624 (H,wt=17): 11692 K(x,y / (z * (u / z))) = K(x,y / T(u,z)). [para(16(a,1),11691(a,1,2,2,1)),flip(a)]. given #10625 (H,wt=17): 11693 K(x,y / ((z \ u) * z)) = K(x,y / T(u,z)). [para(193(a,2),11692(a,1,2,2))]. given #10626 (H,wt=21): 11583 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(199,a,6232,a,b,11547,a)]. given #10627 (H,wt=20): 11694 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(11583(a,2),6245(a,1))]. given #10628 (H,wt=21): 11600 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7329(a,1),11594(a,1,2)),flip(a)]. given #10629 (H,wt=21): 11610 K(x,y * (T(z * u,z) \ w)) = K(x,y * ((u * z) \ w)). [para(11499(a,1),11519(a,1,2,2)),flip(a)]. given #10630 (H,wt=21): 11611 K(x,(y / ((z \ u) \ u)) * w) = K(x,(y / T(z,u)) * w). [para(10944(a,1),11558(a,1,2,1,2)),flip(a)]. given #10631 (H,wt=17): 11696 K(x,(y / T(z,y)) * u) = K(x,(z \ y) * u). [para(60(a,1),11611(a,1,2,1)),flip(a)]. given #10632 (H,wt=21): 11612 K(x,(y \ ((z \ u) \ u)) * w) = K(x,(y \ T(z,u)) * w). [para(7482(a,1),11559(a,1,2,1,2))]. given #10633 (H,wt=21): 11613 K(x,(y \ T(z,z * u)) \ w) = K(x,(y \ T(z,u)) \ w). [para(6844(a,1),11565(a,1,2,1,2))]. given #10634 (H,wt=21): 11614 K(x,(y \ ((z \ u) \ u)) \ w) = K(x,(y \ T(z,u)) \ w). [para(10944(a,1),11565(a,1,2,1,2)),flip(a)]. given #10635 (H,wt=21): 11619 K(x,y \ (((z \ u) \ u) \ w)) = K(x,y \ (T(z,u) \ w)). [para(10944(a,1),11618(a,1,2,2,1)),flip(a)]. given #10636 (H,wt=17): 11702 K(x,y \ (T(z,u) \ u)) = K(x,y \ (u / z)). [para(3915(a,1),11619(a,1,2,2)),flip(a)]. given #10637 (H,wt=21): 11647 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(7882(a,1),11641(a,1,2)),flip(a)]. given #10638 (H,wt=17): 11704 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(5270(a,1),11647(a,1,2)),flip(a)]. given #10639 (H,wt=21): 11672 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(32(a,2),11671(a,1,2,1)),flip(a)]. given #10640 (H,wt=20): 11705 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(199,a,8543,a(flip),b,11672,a(flip)),flip(a)]. given #10641 (H,wt=16): 11706 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(199,a,11658,a(flip),b,11705,a)]. given #10642 (H,wt=17): 11707 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(199,a,8498,a(flip),b,11706,a(flip)),flip(a)]. given #10643 (H,wt=15): 11708 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(10131,a,11707,a),flip(a)]. given #10644 (H,wt=15): 11709 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(199,a,7703,a,b,11708,a(flip)),flip(a)]. given #10645 (H,wt=17): 11710 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(199,a,9013,a(flip),b,11708,a(flip))]. given #10646 (H,wt=21): 11680 K(x,T(y * (z \ 1),z) \ u) = K(x,((z \ 1) * y) \ u). [hyper(199,a,11607,a(flip),b,11679,a(flip))]. given #10647 (H,wt=21): 11682 T(x,y * (z \ K(u,u \ w))) = T(x,y * (z \ K(u,w))). [para(11497(a,1),11509(a,1,2,2))]. given #10648 (H,wt=21): 11683 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(9200(a,1),11564(a,1,2,1,2))]. given #10649 (H,wt=21): 11700 K(x,(y \ T(z,u * z)) \ w) = K(x,(y \ T(z,u)) \ w). [para(4041(a,2),11613(a,1,2,1,2))]. given #10650 (H,wt=22): 11466 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(11461(a,1),11438(a,1,1))]. given #10651 (H,wt=22): 11711 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(11709(a,1),6469(a,1,1))]. given #10652 (H,wt=15): 11716 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [hyper(5154,a,11711,a),flip(a)]. given #10653 (H,wt=15): 11717 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(199,a,10244,a,b,11716,a(flip)),flip(a)]. given #10654 (H,wt=19): 11718 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),11717(a,1,2))]. given #10655 (H,wt=22): 11714 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(199,a,11469,a(flip),b,11466,a)]. given #10656 (H,wt=17): 11719 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),11714(a,2,2))]. given #10657 (H,wt=12): 11720 a(x,L(y,z,u),x) = a(x,y,x). [hyper(199,a,11461,a(flip),b,11719,a(flip))]. given #10658 (H,wt=14): 11724 R(x,L(y,z,u),x) = x * a(x,y,x). [para(11720(a,1),9177(a,1,2)),flip(a)]. given #10659 (H,wt=12): 11725 R(x,L(y,z,u),x) = R(x,y,x). [hyper(199,a,9177,a(flip),b,11724,a)]. given #10660 (H,wt=17): 11722 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(198(a,1),11720(a,1,2))]. given #10661 (H,wt=17): 11723 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1592(a,2),11720(a,1,2)),flip(a)]. given #10662 (H,wt=19): 11726 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(11723(a,1),9218(a,1,1)),flip(a)]. given #10663 (H,wt=17): 11727 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(199,a,9218,a(flip),b,11726,a)]. given #10664 (H,wt=23): 11512 T(x,(T(y,z) / z) \ T(u,z \ y)) = T(x,u / (T(y,z) / z)). [para(11505(a,1),11510(a,1,2,2))]. given #10665 (H,wt=21): 11728 T(x,(y \ z) \ T(u,y \ z)) = T(x,u / (T(z,y) / y)). [hyper(11633,a,11512,a)]. given #10666 (H,wt=17): 11729 T(x,y / (T(z,u) / u)) = T(x,y / (u \ z)). [hyper(199,a,11510,a(flip),b,11728,a(flip))]. given #10667 (H,wt=23): 11575 T(x * (y / x),z * (y / u)) = x * (T(y,z * (u \ y)) / x). [para(11574(a,1),4378(a,2,2,1))]. given #10668 (H,wt=23): 11609 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(11567,a,11605,a),flip(a)]. given #10669 (H,wt=21): 11731 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(185(a,2),11609(a,1,2,2,2))]. given #10670 (H,wt=20): 11732 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(11731(a,1),11567(a,1))]. given #10671 (H,wt=23): 11673 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6152(a,1),11661(a,1,2,2)),flip(a)]. given #10672 (H,wt=23): 11695 K(x,y * (T(z * u,u) \ w)) = K(x,y * ((T(z,u) * u) \ w)). [para(105(a,1),11610(a,1,2,2,1,1))]. given #10673 (H,wt=21): 11734 K(x,y * (T(z * u,u) \ w)) = K(x,y * ((u * z) \ w)). [para(166(a,1),11695(a,2,2,2,1))]. given #10674 (H,wt=21): 11735 K(x,y * ((z * (u / z)) \ w)) = K(x,y * (T(u,z) \ w)). [para(16(a,1),11734(a,1,2,2,1,1)),flip(a)]. given #10675 (H,wt=23): 11697 T(x,(y \ ((z \ u) \ u)) * w) = x * K(x,(y \ T(z,u)) * w). [para(11612(a,1),4652(a,2,2))]. given #10676 (H,wt=23): 11713 K(x,(((y \ z) \ 1) * z) \ u) = K(x,(z * ((z / y) \ 1)) \ u). [para(6682(a,1),11680(a,1,2,1)),flip(a)]. given #10677 (H,wt=23): 11730 T(x * (y / x),z * (y / u)) = T(x * (y / x),z * (u \ y)). [hyper(199,a,4378,a,b,11575,a)]. given #10678 (H,wt=24): 11500 (x * (a(y,z,y) \ u)) * L(w,u,x) = (a(y,z,y) \ x) * (u * w). [para(11498(a,1),11396(a,1,1))]. given #10679 (H,wt=24): 11733 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(11673(a,1),10165(a,1,1))]. given #10680 (H,wt=24): 11737 T(x,(y \ ((z \ u) \ u)) * w) != v5 | T(x,(y \ T(z,u)) * w) = v5. [para(11697(a,2),4655(a,1))]. given #10681 (H,wt=24): 11738 (x * (a(y,z,y) \ u)) * L(w,u,x) = x * (a(y,z,y) \ (u * w)). [hyper(199,a,11498,a(flip),b,11500,a)]. given #10682 (H,wt=24): 11739 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(7132,a,11733,a)]. given #10683 (H,wt=20): 11741 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(7377,a,11739,a),flip(a)]. given #10684 (H,wt=24): 11740 (x * (a(y,z,y) \ u)) * L(w,u,x) = x * ((a(y,z,y) \ u) * w). [para(11277(a,1),11738(a,2,2))]. given #10685 (H,wt=14): 11743 L(x,a(y,z,y) \ u,w) = L(x,u,w). [hyper(391,a,11740,a)]. given #10686 (H,wt=14): 11744 L(x,a(y,z,y) * u,w) = L(x,u,w). [para(13(a,1),11743(a,1,2)),flip(a)]. given #10687 (H,wt=15): 11745 L(x,T(y * z,y),u) = L(x,z * y,u). [para(9187(a,1),11744(a,1,2))]. given #10688 (H,wt=15): 11746 L(x,T(y * (z / y),y),u) = L(x,z,u). [para(16(a,1),11745(a,2,2))]. given #10689 (H,wt=25): 11623 K(x,y \ ((1 / z) * T(u * z,u))) = K(x,y \ ((u * z) * (1 / z))). [para(1298(a,1),11621(a,1,2,2))]. given #10690 (H,wt=25): 11643 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7329(a,1),11639(a,1,2))]. given #10691 (H,wt=23): 11747 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(199,a,11600,a(flip),b,11643,a)]. given #10692 (H,wt=21): 11748 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(9250(a,1),11747(a,1,2))]. given #10693 (H,wt=25): 11674 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(11662(a,2),9890(a,2,2))]. given #10694 (H,wt=26): 11571 K(x,(T(y,z) \ z) \ T(u,z / y)) != w | K(x,u / (T(y,z) \ z)) = w. [para(11511(a,1),11567(a,1,2,2))]. given #10695 (H,wt=26): 11573 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(11536(a,1),6767(a,1,1,2))]. given #10696 (H,wt=22): 11750 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),11573(a,1,1))]. given #10697 (H,wt=10): 11751 L(x,K(y \ x,z),x) = x. [hyper(6101,a,11750,a)]. given #10698 (H,wt=8): 11753 L(x,K(y,z),x) = x. [para(63(a,1),11751(a,1,2,1))]. given #10699 (H,wt=13): 11754 T(K(x,y) * z,z) = z * K(x,y). [hyper(7694,a,11753,a)]. given #10700 (H,wt=19): 11757 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(4885(a,1),11754(a,1,1))]. given #10701 (H,wt=17): 11758 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(5856,a,11757,a)]. given #10702 (H,wt=26): 11625 L(K(x,(y \ z) \ (u * w)),y \ z,y) = K(x,z \ (y * T(w * u,u))). [para(11621(a,1),10446(a,1,1))]. given #10703 (H,wt=21): 11759 K(x,y \ (z * T(u * w,w))) = K(x,y \ (z * (w * u))). [hyper(10483,a,11625,a),flip(a)]. given #10704 (H,wt=21): 11760 K(x,y \ (z * (u * (w / u)))) = K(x,y \ (z * T(w,u))). [para(16(a,1),11759(a,1,2,2,2,1)),flip(a)]. given #10705 (H,wt=21): 11761 K(x,y \ (z * T(u * w,u))) = K(x,y \ (z * (w * u))). [para(194(a,1),11760(a,1,2,2,2)),flip(a)]. given #10706 (H,wt=23): 11762 K(x,y \ ((1 / z) * (z * u))) = K(x,y \ ((u * z) * (1 / z))). [hyper(199,a,11623,a(flip),b,11761,a(flip))]. given #10707 (H,wt=23): 11763 K(x,y \ ((1 / z) * (z * u))) = K(x,y \ ((u * z) * (z \ 1))). [hyper(199,a,5497,a(flip),b,11762,a)]. given #10708 (H,wt=22): 11764 K(x,y \ ((1 / z) * (z * u))) = K(x,y \ R(u,z,z \ 1)). [para(329(a,1),11763(a,2,2,2))]. given #10709 (H,wt=21): 11765 K(x,y \ R(z,u,u \ 1)) = K(x,y \ L(z,u,u \ 1)). [para(2801(a,1),11764(a,1,2,2)),flip(a)]. given #10710 (H,wt=19): 11766 K(x,y \ L(y,z,z \ 1)) = K(x,a(y,z,z \ 1)). [para(601(a,1),11765(a,1,2)),flip(a)]. given #10711 (H,wt=26): 11684 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(11681(a,2),9320(a,1,2,1)),flip(a)]. given #10712 (H,wt=23): 11767 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(11325(a,1),11684(a,2,2,1))]. given #10713 (H,wt=20): 11768 L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. [para(11767(a,2),9332(a,1))]. given #10714 (H,wt=27): 11655 T(T(x,K(y,z)),(z / y) * K(u,y \ 1)) = T(x,y \ (z * K(u,y \ 1))). [para(11652(a,1),7837(a,1,1,2))]. given #10715 (H,wt=27): 11699 K(x,(y \ T(T(z,T(z,u) * w),u)) \ v5) = K(x,(y \ T(T(z,u),w)) \ v5). [para(38(a,1),11613(a,1,2,1,2))]. given #10716 (H,wt=25): 11771 K(x,(y \ T(T(z,z * u),w)) \ v5) = K(x,(y \ T(T(z,w),u)) \ v5). [para(6838(a,1),11699(a,1,2,1,2,1))]. given #10717 (H,wt=27): 11712 K(x,(y \ T(z,T(u \ z,w))) \ v5) = K(x,(y \ T(z,w \ (u \ w))) \ v5). [para(11710(a,1),11613(a,1,2,1,2))]. given #10718 (H,wt=27): 11736 K(x,T(y / z,z) * (((y / z) * z) \ u)) = K(x,(y / z) * (T(y,z) \ u)). [para(9157(a,2),11735(a,1,2))]. given #10719 (H,wt=25): 11773 K(x,(y \ z) * (((z / y) * y) \ u)) = K(x,(z / y) * (T(z,y) \ u)). [para(107(a,1),11736(a,1,2,1))]. given #10720 (H,wt=21): 11774 K(x,(y / z) * (T(y,z) \ u)) = K(x,(z \ y) * (y \ u)). [para(16(a,1),11773(a,1,2,2,1)),flip(a)]. given #10721 (H,wt=28): 11646 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(11641(a,1),6492(a,1,1))]. given #10722 (H,wt=23): 11775 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(6552,a,11646,a),flip(a)]. given #10723 (H,wt=21): 11776 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6448(a,1),11775(a,1,2,1))]. given #10724 (H,wt=21): 11777 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(4738(a,1),11776(a,1,2,1,2))]. given #10725 (H,wt=29): 11586 T(x,y * (T(z,T(u,u \ w)) \ ((u \ w) \ w))) = T(x,y * (T(u,u \ w) / z)). [para(355(a,1),11553(a,1,2,2))]. given #10726 (H,wt=27): 11779 T(x,y * (T(z,T(u,w)) \ ((u \ w) \ w))) = T(x,y * (T(u,u \ w) / z)). [para(7078(a,1),11586(a,1,2,2,1))]. given #10727 (H,wt=29): 11703 K(x,y \ (T(z,(u \ w) \ w) \ T(u,u \ w))) = K(x,y \ (((u \ w) \ w) / z)). [para(355(a,2),11702(a,1,2,2))]. given #10728 (H,wt=27): 11780 K(x,y \ (T(z,T(u,w)) \ T(u,u \ w))) = K(x,y \ (((u \ w) \ w) / z)). [para(7074(a,1),11703(a,1,2,2,1))]. given #10729 (H,wt=30): 11660 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(11657(a,1),786(a,1,2,2)),flip(a)]. given #10730 (H,wt=30): 11781 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7084(a,2),11660(a,2,2,1))]. given #10731 (H,wt=26): 11782 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(9069(a,1),11781(a,2,2))]. given #10732 (H,wt=24): 11783 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(199,a,105,a(flip),b,11782,a)]. given #10733 (H,wt=24): 11784 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7084(a,2),11783(a,1,1,2))]. given #10734 (H,wt=17): 11785 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(6732(a,1),11784(a,1,1))]. given #10735 (H,wt=17): 11786 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(199,a,5866,a,b,11785,a(flip)),flip(a)]. given #10736 (H,wt=10): 11788 L(x,y \ 1,K(y,z)) = x. [hyper(3277,a,11786,a)]. given #10737 (H,wt=10): 11789 L(x,y \ 1,K(z,y)) = x. [para(4738(a,1),11788(a,1,3))]. given #10738 (H,wt=10): 11790 L(x,y,K(z,y \ 1)) = x. [hyper(199,a,4488,a(flip),b,11789,a(flip)),flip(a)]. given #10739 (H,wt=19): 11795 (K(x,y \ 1) * y) \ z = y \ (K(x,y \ 1) * z). [hyper(199,a,5043,a(flip),b,11790,a(flip)),flip(a)]. given #10740 (H,wt=19): 11797 (x * K(y,x \ 1)) \ z = x \ (K(y,x \ 1) * z). [para(1985(a,1),11795(a,1,1))]. given #10741 (H,wt=19): 11798 (x * K(y,x \ 1)) \ z = K(y,x \ 1) * (x \ z). [hyper(199,a,10528,a(flip),b,11797,a)]. given #10742 (H,wt=27): 11799 K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,y \ (K(u,z \ 1) * (z \ w))). [para(11798(a,1),6308(a,2,2,2))]. given #10743 (H,wt=33): 11749 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(5779(a,1),11748(a,1,2,2,2)),flip(a)]. given #10744 (H,wt=29): 11800 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(9252(a,1),11749(a,2,2))]. given #10745 (H,wt=27): 11801 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(5131(a,1),11800(a,1,2))]. given #10746 (H,wt=21): 11802 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(5908(a,1),11801(a,1,2)),flip(a)]. given #10747 (H,wt=22): 11804 K(x,T(y / z,y / (u \ z))) != w | K(x,T(y / z,u)) = w. [para(11802(a,2),7973(a,1))]. given #10748 (H,wt=34): 11778 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(7767(a,1),11776(a,2,2))]. given #10749 (H,wt=30): 11805 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(7272(a,1),11778(a,1,2,2,2))]. given #10750 (H,wt=30): 11807 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(7716(a,2),11805(a,1,2,2))]. given #10751 (H,wt=26): 11808 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(7860(a,1),11807(a,1,2)),flip(a)]. given #10752 (H,wt=24): 11809 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(199,a,6042,a(flip),b,11808,a)]. given #10753 (H,wt=19): 11810 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [para(7459(a,1),11809(a,1,2,1,1))]. given #10754 (H,wt=17): 11811 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6165,a,11810,a),flip(a)]. given #10755 (H,wt=17): 11814 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [para(4738(a,1),11811(a,1,2,2))]. given #10756 (H,wt=19): 11815 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(199,a,6423,a(flip),b,11814,a(flip))]. given #10757 (H,wt=17): 11816 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(199,a,6422,a(flip),b,11815,a(flip))]. given #10758 (H,wt=17): 11817 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(60(a,1),11816(a,1,2,2,2)),flip(a)]. given #10759 (H,wt=21): 11818 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8075(a,1),11817(a,1,2,2))]. given #10760 (H,wt=35): 11577 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(11543(a,1),10569(a,1,2,1,1))]. given #10761 (H,wt=21): 11819 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(199,a,10285,a(flip),b,11577,a(flip))]. given #10762 (H,wt=35): 11698 K(x,T(y \ ((z \ u) \ u),w) * (1 / w)) = K(x,(y \ T(z,u)) * (1 / T(w,y \ ((z \ u) \ u)))). [para(5097(a,2),11612(a,1,2))]. given #10763 (H,wt=35): 11701 K(x,(y \ T(z * (u / z),(z * (u / z)) * (z \ u))) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). [para(4391(a,1),11613(a,2,2,1,2))]. given #10764 (H,wt=31): 11820 K(x,(y \ T(z * (u / z),u * (u / z))) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). [para(1178(a,1),11701(a,1,2,1,2,2))]. given #10765 (H,wt=31): 11821 K(x,(y \ T(z * (u / z),u * (z \ u))) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). [para(11730(a,1),11820(a,1,2,1,2))]. given #10766 (H,wt=36): 11476 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(10756(a,1),11475(a,1,2,2)),flip(a)]. given #10767 (H,wt=34): 11822 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(10132,a,11476,a)]. given #10768 (H,wt=34): 11823 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(199,a,11722,a(flip),b,11822,a(flip)),flip(a)]. given #10769 (H,wt=29): 11824 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(28(a,2),11823(a,1,2,2))]. given #10770 (H,wt=29): 11825 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4547(a,1),11824(a,1,2))]. given #10771 (H,wt=23): 11826 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(199,a,4524,a(flip),b,11825,a(flip)),flip(a)]. given #10772 (H,wt=23): 11827 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(199,a,11469,a(flip),b,11826,a),flip(a)]. given #10773 (H,wt=19): 11829 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(133(a,1),11827(a,1,2,2))]. given #10774 (H,wt=46): 10765 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(10764(a,1),10247(a,1,1,1))]. given #10775 (H,wt=44): 11831 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(5442(a,1),10765(a,1,1))]. given #10776 (H,wt=36): 11832 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14(a,1),11831(a,1,2,2,1,2))]. given #10777 (H,wt=34): 11834 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8334(a,1),11832(a,1,2))]. given #10778 (H,wt=34): 11835 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(11431(a,1),11834(a,1,2))]. given #10779 (H,wt=30): 11836 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7549(a,1),11835(a,1,2)),flip(a)]. given #10780 (H,wt=26): 11837 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) != u | L(x,y / z,x) = u. [para(11836(a,2),5489(a,1))]. given #10781 (H,wt=13): 11838 L(x,y / z,x) = L(x,z \ y,x). [hyper(11837,a,11718,a)]. given #10782 (H,wt=13): 11840 L(x,(y \ z) \ z,x) = L(x,y,x). [para(60(a,1),11838(a,1,2)),flip(a)]. given #10783 (H,wt=13): 11844 L(x,y * K(z,y),x) = L(x,y,x). [para(5548(a,1),11840(a,1,2)),flip(a)]. given #10784 (H,wt=16): 11839 L(x,y \ z,x) != u | L(x,z / y,x) = u. [para(11718(a,1),11837(a,1))]. given #10785 (H,wt=19): 11845 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5405(a,1),11844(a,1,2))]. given #10786 (H,wt=24): 11842 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4799(a,2),11838(a,1,2))]. given #10787 (H,wt=20): 11847 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(199,a,11845,a(flip),b,11842,a(flip))]. given #10788 (H,wt=16): 11848 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(11768,a,11847,a),flip(a)]. given #10789 (H,wt=12): 11850 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),11848(a,2,2))]. given #10790 (H,wt=23): 11851 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(199,a,6844,a(flip),b,11850,a(flip))]. given #10791 (H,wt=29): 11841 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3587(a,2),11838(a,1,2))]. given #10792 (H,wt=22): 11852 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),11841(a,2,2))]. given #10793 (H,wt=17): 11853 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(199,a,11850,a(flip),b,11852,a(flip)),flip(a)]. given #10794 (H,wt=46): 11071 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(11064(a,1),4763(a,1,2,2)),flip(a)]. given #10795 (H,wt=35): 11855 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(121(a,1),11071(a,2,2))]. given #10796 (H,wt=31): 11856 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(199,a,4644,a,b,11855,a)]. given #10797 (H,wt=31): 11858 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(199,a,7716,a,b,11856,a)]. given #10798 (H,wt=26): 11859 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(11106(a,1),11858(a,1,2))]. given #10799 (H,wt=26): 11860 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(8232,a,11859,a)]. given #10800 (H,wt=26): 11861 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(7739,a,11860,a)]. given #10801 (H,wt=22): 11862 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(199,a,7149,a(flip),b,11861,a(flip)),flip(a)]. given #10802 (H,wt=18): 11864 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4829(a,1),11862(a,1,2))]. given #10803 (H,wt=47): 3163 (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(1646(a,2),3162(a,1,2))]. given #10804 (H,wt=29): 11865 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(16(a,1),3163(a,1,2,1))]. given #10805 (H,wt=27): 11866 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(57(a,1),11865(a,1,2))]. given #10806 (H,wt=23): 11868 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(253,a,11866,a)]. given #10807 (H,wt=21): 11871 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2568(a,1),11868(a,1,1))]. given #10808 (H,wt=21): 11872 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(199,a,9901,a(flip),b,11871,a(flip))]. given #10809 (H,wt=21): 11873 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(199,a,4537,a(flip),b,11872,a)]. given #10810 (H,wt=21): 11874 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(199,a,6774,a(flip),b,11873,a)]. given #10811 (H,wt=15): 11876 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1001(a,1),11874(a,1,2))]. given #10812 (H,wt=24): 11877 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(11876(a,1),4643(a,2,1)),flip(a)]. given #10813 (H,wt=25): 11875 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(11873(a,2),9902(a,1,1))]. given #10814 (H,wt=28): 11878 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(199,a,5286,a,b,11877,a)]. given #10815 (H,wt=31): 11879 (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(11877(a,2),5289(a,1))]. given #10816 (H,wt=48): 9205 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(6148(a,1),9190(a,2,1))]. given #10817 (H,wt=46): 11880 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(11468(a,1),9205(a,1,1))]. given #10818 (H,wt=46): 11881 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(9509(a,1),11880(a,1,1))]. given #10819 (H,wt=48): 9372 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(143(a,2),9352(a,1,2,2,2))]. given #10820 (H,wt=44): 11883 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(6207(a,1),9372(a,1,2,1))]. given #10821 (H,wt=37): 11884 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3711(a,1),11883(a,1,2,2)),flip(a)]. given #10822 (H,wt=33): 11885 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(7501(a,1),11884(a,2,2))]. given #10823 (H,wt=43): 11886 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(13(a,1),11885(a,2,2,1))]. given #10824 (H,wt=42): 11887 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(10776(a,1),11886(a,1,1,2))]. given #10825 (H,wt=35): 11888 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8262(a,1),11887(a,1,1))]. given #10826 (H,wt=34): 11890 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(10776(a,1),11888(a,1,2,1))]. given #10827 (H,wt=33): 11891 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(5211(a,1),11890(a,1,2))]. given #10828 (H,wt=31): 11892 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7646(a,1),11891(a,1,2))]. given #10829 (H,wt=19): 11893 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(5842(a,1),11892(a,1,2)),flip(a)]. given #10830 (H,wt=19): 11894 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(199,a,6924,a,b,11893,a)]. given #10831 (H,wt=49): 5872 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(4024(a,1),5693(a,1,2))]. given #10832 (H,wt=37): 11896 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(8324(a,1),5872(a,1,1)),flip(a)]. given #10833 (H,wt=37): 11897 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(199,a,6921,a,b,11896,a)]. given #10834 (H,wt=35): 11899 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(4669(a,1),11897(a,2,1))]. given #10835 (H,wt=32): 11900 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(11725(a,1),11899(a,1,2,1))]. given #10836 (H,wt=29): 11901 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(11725(a,1),11900(a,1,2,2,1))]. given #10837 (H,wt=29): 11903 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(4041(a,2),11901(a,1,2))]. given #10838 (H,wt=28): 11905 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4024(a,1),11903(a,1,2,2))]. given #10839 (H,wt=26): 11906 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(9920(a,1),11905(a,1,2))]. given #10840 (H,wt=21): 11907 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(686(a,1),11906(a,1,2)),flip(a)]. given #10841 (H,wt=19): 11908 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(199,a,9059,a(flip),b,11907,a(flip)),flip(a)]. given #10842 (H,wt=26): 11909 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(68,a,11908,a(flip),b,4652,a(flip))]. given #10843 (H,wt=21): 11911 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9165,a,11909,a),flip(a)]. given #10844 (H,wt=17): 11912 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(199,a,10465,a(flip),b,11911,a)]. given #10845 (H,wt=22): 11913 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),11912(a,1,1))]. given #10846 (H,wt=22): 11914 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(199,a,6463,a(flip),b,11913,a(flip)),flip(a)]. given #10847 (H,wt=19): 11915 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(10426(a,1),11914(a,2,3))]. given #10848 (H,wt=17): 11916 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(199,a,10548,a(flip),b,11915,a)]. given #10849 (H,wt=11): 11919 L(x,a(y,z,K(u,w)),u) = x. [para(11916(a,1),4010(a,1,2))]. given #10850 (H,wt=11): 11921 L(x,a(y,z,K(u,w)),w) = x. [para(4738(a,1),11919(a,1,2,3))]. given #10851 (H,wt=17): 11918 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(10505,a,11916,a)]. given #10852 (H,wt=24): 11923 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),11918(a,1,2))]. given #10853 (H,wt=24): 11924 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(4992,a,11923,a)]. given #10854 (H,wt=24): 11925 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(10502,a,11924,a)]. given #10855 (H,wt=21): 11926 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(10419(a,1),11925(a,2,3))]. given #10856 (H,wt=17): 11927 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(63(a,1),11926(a,2,3,1))]. given #10857 (H,wt=21): 11930 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(11927(a,1),5012(a,1,2,1)),flip(a)]. given #10858 (H,wt=17): 11931 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(199,a,9378,a(flip),b,11930,a)]. given #10859 (H,wt=19): 11932 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(11931(a,1),4652(a,2,2))]. given #10860 (H,wt=21): 11933 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(11931(a,1),10556(a,1,3)),flip(a)]. given #10861 (H,wt=26): 11910 T(x * L(y,z,u),x * y) != w * v5 | w \ (L(y,z,u) * T(x,y)) = v5. [para(11908(a,2),492(a,1))]. given #10862 (H,wt=27): 11920 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(11916(a,1),10562(a,1,3)),flip(a)]. given #10863 (H,wt=25): 11935 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(10562(a,1),11920(a,2,3))]. given #10864 (H,wt=23): 11936 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [para(8613(a,1),11935(a,1,3))]. given #10865 (H,wt=21): 11937 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(199,a,10553,a(flip),b,11936,a(flip)),flip(a)]. given #10866 (H,wt=27): 11922 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(199,a,5537,a,b,11918,a(flip)),flip(a)]. given #10867 (H,wt=25): 11939 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(11727(a,1),11922(a,1,2))]. given #10868 (H,wt=25): 11940 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(5347,a,11939,a)]. given #10869 (H,wt=23): 11941 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(199,a,7684,a(flip),b,11940,a(flip)),flip(a)]. given #10870 (H,wt=27): 11938 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(11937(a,1),9001(a,1,2))]. given #10871 (H,wt=17): 11942 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(10972(a,1),11938(a,1,2)),flip(a)]. given #10872 (H,wt=15): 11943 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(199,a,12,a(flip),b,11942,a)]. given #10873 (H,wt=29): 11945 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(11943(a,1),9388(a,1,2,2)),flip(a)]. given #10874 (H,wt=15): 11946 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(199,a,9388,a(flip),b,11945,a)]. given #10875 (H,wt=17): 11947 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(11946(a,1),4652(a,2,2))]. given #10876 (H,wt=15): 11948 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(199,a,4652,a,b,11947,a)]. given #10877 (H,wt=21): 11949 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(11948(a,1),11941(a,1,2,1))]. given #10878 (H,wt=15): 11950 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(4865,a,11949,a)]. given #10879 (H,wt=32): 11934 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(11933(a,1),10667(a,1,1))]. given #10880 (H,wt=22): 11951 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(10973(a,1),11934(a,1,1))]. given #10881 (H,wt=20): 11952 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(71,a,11951,a)]. given #10882 (H,wt=17): 11954 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(199,a,6468,a(flip),b,11952,a(flip)),flip(a)]. given #10883 (H,wt=19): 11956 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(11954(a,1),4652(a,2,2)),flip(a)]. given #10884 (H,wt=17): 11959 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4655,a,11956,a),flip(a)]. given #10885 (H,wt=22): 11958 K(x,K(y,z \ L(z,u,w))) != v5 | K(x,K(y,a(w,u,z))) = v5. [para(11954(a,1),7853(a,1,2))]. given #10886 (H,wt=27): 11960 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(11959(a,2),606(a,1,1))]. given #10887 (H,wt=25): 11962 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(199,a,11932,a(flip),b,11960,a)]. given #10888 (H,wt=49): 5873 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(4024(a,1),5694(a,1,2))]. given #10889 (H,wt=37): 11963 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(8324(a,1),5873(a,1,1)),flip(a)]. given #10890 (H,wt=37): 11964 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(199,a,6921,a,b,11963,a)]. given #10891 (H,wt=35): 11966 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(4669(a,1),11964(a,2,1))]. given #10892 (H,wt=33): 11967 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(199,a,9060,a(flip),b,11966,a)]. given #10893 (H,wt=33): 11968 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(4042(a,2),11967(a,1,2))]. given #10894 (H,wt=27): 11969 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(8320(a,1),11968(a,1,2,1))]. given #10895 (H,wt=27): 11970 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4041(a,2),11969(a,1,2,1))]. given #10896 (H,wt=24): 11972 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(11332(a,1),11970(a,1,2))]. given #10897 (H,wt=19): 11973 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(688(a,1),11972(a,1,2)),flip(a)]. given #10898 (H,wt=26): 11975 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(11973(a,1),4596(a,2,2)),flip(a)]. given #10899 (H,wt=26): 11976 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(199,a,11894,a(flip),b,11975,a(flip)),flip(a)]. given #10900 (H,wt=24): 11977 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(11172(a,1),11976(a,1,1))]. given #10901 (H,wt=49): 10583 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(10581(a,1),6033(a,1,2,1))]. given #10902 (H,wt=47): 11978 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(8105(a,1),10583(a,1,1,1))]. given #10903 (H,wt=45): 11979 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(9371(a,1),11978(a,1,2)),flip(a)]. given #10904 (H,wt=45): 11980 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(199,a,6577,a(flip),b,11979,a)]. given #10905 (H,wt=43): 11981 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(8327(a,1),11980(a,2,1,2))]. given #10906 (H,wt=43): 11982 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(6873(a,1),11981(a,2,1))]. given #10907 (H,wt=41): 11983 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3087(a,1),11982(a,2,1,1))]. given #10908 (H,wt=39): 11984 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6216(a,1),11983(a,2,2))]. given #10909 (H,wt=49): 10584 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(10581(a,2),6462(a,1,2,1))]. given #10910 (H,wt=49): 11985 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5530(a,1),10584(a,1,1,1))]. given #10911 (H,wt=47): 11986 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(10581(a,1),11985(a,1,1))]. given #10912 (H,wt=45): 11987 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(10581(a,1),11986(a,1,2,1))]. given #10913 (H,wt=45): 11988 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5530(a,1),11987(a,1,2,2,2))]. given #10914 (H,wt=50): 10301 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(10300(a,1),1781(a,1,1)),flip(a)]. given #10915 (H,wt=49): 11989 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(10300(a,1),10301(a,2,2,1,1))]. given #10916 (H,wt=47): 11990 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(199,a,1538,a(flip),b,11989,a)]. given #10917 (H,wt=45): 11991 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(1739(a,1),11990(a,2,2))]. given #10918 (H,wt=43): 11992 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(774(a,1),11991(a,2,2,1))]. given #10919 (H,wt=37): 11993 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(1269(a,1),11992(a,2,2,1,2))]. given #10920 (H,wt=35): 11994 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(1538(a,1),11993(a,1,1))]. given #10921 (H,wt=35): 11995 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(11321(a,2),11994(a,1,1,2))]. given #10922 (H,wt=21): 11996 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),11995(a,1,1,2,1)),flip(a)]. given #10923 (H,wt=51): 8909 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(4588(a,1),7527(a,1,2)),flip(a)]. given #10924 (H,wt=41): 11997 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(199,a,8620,a(flip),b,8909,a)]. given #10925 (H,wt=41): 11998 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(199,a,7716,a(flip),b,11997,a)]. given #10926 (H,wt=52): 8874 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(2731(a,1),8746(a,2,1,1))]. given #10927 (H,wt=52): 10319 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(10317(a,1),425(a,1,1,1)),flip(a)]. given #10928 (H,wt=22): 12000 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(199,a,13,a(flip),b,10319,a)]. given #10929 (H,wt=17): 12002 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(10317(a,1),12000(a,1,3))]. given #10930 (H,wt=13): 12004 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(11166(a,1),12002(a,1,3))]. given #10931 (H,wt=25): 12005 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12004(a,1),92(a,1,2))]. given #10932 (H,wt=27): 12006 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(199,a,11199,a(flip),b,12005,a(flip))]. given #10933 (H,wt=19): 12007 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5014(a,1),12006(a,1,2))]. given #10934 (H,wt=17): 12008 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(18,a,166,a,b,12007,a)]. given #10935 (H,wt=24): 12009 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(199,a,11977,a(flip),b,12008,a),flip(a)]. given #10936 (H,wt=19): 12010 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(544(a,1),12009(a,2,1,2))]. given #10937 (H,wt=21): 12012 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),12010(a,1,1))]. given #10938 (H,wt=21): 12013 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(199,a,8651,a(flip),b,12012,a(flip)),flip(a)]. given #10939 (H,wt=21): 12014 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(199,a,9979,a(flip),b,12013,a(flip)),flip(a)]. given #10940 (H,wt=21): 12015 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4920(a,1),12014(a,2,1))]. given #10941 (H,wt=19): 12016 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(199,a,11373,a(flip),b,12015,a)]. given #10942 (H,wt=27): 12011 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(6205,a,12010,a)]. given #10943 (H,wt=25): 12019 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12010(a,1),12011(a,1,1))]. given #10944 (H,wt=25): 12020 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(199,a,11454,a,b,12019,a(flip)),flip(a)]. given #10945 (H,wt=23): 12021 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(199,a,11388,a(flip),b,12020,a(flip)),flip(a)]. given #10946 (H,wt=29): 12017 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(199,a,5537,a,b,12016,a(flip)),flip(a)]. given #10947 (H,wt=27): 12022 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(11853(a,1),12017(a,1,2))]. given #10948 (H,wt=27): 12023 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(5347,a,12022,a)]. given #10949 (H,wt=32): 12018 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(199,a,6027,a(flip),b,12016,a(flip)),flip(a)]. given #10950 (H,wt=28): 12024 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(11996(a,1),12018(a,1,1))]. given #10951 (H,wt=24): 12025 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),12024(a,1,2))]. given #10952 (H,wt=17): 12026 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4673,a,12025,a),flip(a)]. given #10953 (H,wt=21): 12028 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12026(a,1),11214(a,2,2))]. given #10954 (H,wt=19): 12030 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(199,a,11364,a(flip),b,12028,a(flip))]. given #10955 (H,wt=21): 12031 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(199,a,8794,a,b,12030,a(flip)),flip(a)]. given #10956 (H,wt=21): 12032 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7716(a,2),12031(a,2,1))]. given #10957 (H,wt=19): 12033 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(8825,a,12032,a)]. given #10958 (H,wt=26): 12034 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(199,a,9095,a(flip),b,12033,a(flip)),flip(a)]. given #10959 (H,wt=26): 12035 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(4738(a,1),12034(a,2,1,2))]. given #10960 (H,wt=23): 12036 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8454(a,1),12035(a,2,1))]. given #10961 (H,wt=22): 12037 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(9115,a,12036,a)]. given #10962 (H,wt=23): 12040 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(199,a,9597,a(flip),b,12037,a(flip)),flip(a)]. given #10963 (H,wt=27): 12029 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12026(a,2),12023(a,1,1))]. given #10964 (H,wt=25): 12042 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(10853,a,12029,a)]. given #10965 (H,wt=9): 12043 a(x,a(y,z,u),x) = 1. [hyper(67,a,12042,a,b,9307,a),flip(a)]. given #10966 (H,wt=9): 12044 L(x,a(y,z,u),x) = x. [hyper(33,a,12043,a)]. given #10967 (H,wt=15): 12046 T(x * a(y,z,u),x) = a(y,z,u) * x. [para(12044(a,1),969(a,1,2)),flip(a)]. given #10968 (H,wt=22): 12047 (a(x,y,z) * u) / (u * a(x,y,z)) = K(u,u * a(x,y,z)). [hyper(69,a,12046,a(flip),b,4736,a(flip))]. given #10969 (H,wt=15): 12048 K(x,x * a(y,z,u)) = K(a(y,z,u),x). [hyper(4785,a,12047,a),flip(a)]. given #10970 (H,wt=15): 12049 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(199,a,4738,a,b,12048,a)]. given #10971 (H,wt=13): 12050 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(199,a,11950,a(flip),b,12049,a(flip)),flip(a)]. given #10972 (H,wt=10): 12051 K(x,a(y,z,z \ 1)) = 1. [hyper(199,a,6720,a(flip),b,12050,a(flip))]. given #10973 (H,wt=10): 12055 T(x,a(y,z,z \ 1)) = x. [hyper(37,a,12051,a)]. given #10974 (H,wt=12): 12056 K(x,y \ L(y,z,z \ 1)) = 1. [hyper(199,a,11766,a,b,12051,a(flip)),flip(a)]. given #10975 (H,wt=15): 12052 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [para(12050(a,2),4652(a,2,2)),flip(a)]. given #10976 (H,wt=15): 12057 T(a(x,y,y \ 1),z) = a(x,y,y \ 1). [hyper(35,a,12055,a)]. given #10977 (H,wt=17): 12054 a(x,y,K(z,u)) * (K(u,a(x,y,z)) * w) = w. [para(12050(a,1),9379(a,1,2,1))]. given #10978 (H,wt=13): 12062 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(5018,a,12054,a),flip(a)]. given #10979 (H,wt=16): 12063 K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(12054(a,1),4915(a,1)),flip(b)]. given #10980 (H,wt=18): 12061 T(a(x,y,y \ 1),z) != u | a(x,y,y \ 1) = u. [para(12057(a,1),338(a,1,1)),flip(b)]. given #10981 (H,wt=19): 12053 x * (a(y,z,K(x,u)) * w) = T(x,a(y,z,u)) * w. [para(12050(a,2),4626(a,1,2,1))]. given #10982 (H,wt=21): 12060 T(x \ L(x,y,y \ 1),z) = 1 * (x \ L(x,y,y \ 1)). [para(12056(a,1),4736(a,2,1))]. given #10983 (H,wt=19): 12064 T(x \ L(x,y,y \ 1),z) = x \ L(x,y,y \ 1). [hyper(199,a,11,a(flip),b,12060,a)]. given #10984 (H,wt=52): 10809 ((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(10808(a,1),5850(a,1,1,2))]. given #10985 (H,wt=52): 11999 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2724(a,1),8874(a,1,1,1,2))]. given #10986 (H,wt=44): 12066 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(4278(a,1),11999(a,1,1,1))]. given #10987 (H,wt=42): 12067 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(104(a,1),12066(a,1,1,1)),flip(a)]. given #10988 (H,wt=42): 12069 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2724(a,1),12067(a,2,1,3,2))]. given #10989 (H,wt=38): 12070 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(13(a,1),12069(a,2,1,3))]. given #10990 (H,wt=34): 12072 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4240(a,1),12070(a,2,1))]. given #10991 (H,wt=30): 12073 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(60(a,1),12072(a,1,1,1,1,2))]. given #10992 (H,wt=30): 12074 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2724(a,1),12073(a,1,1,2))]. given #10993 (H,wt=22): 12075 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(199,a,5535,a(flip),b,12074,a(flip)),flip(a)]. given #10994 (H,wt=32): 12077 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(32(a,2),12075(a,1,1,1,1)),flip(a)]. given #10995 (H,wt=30): 12078 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(6751(a,1),12077(a,2,1,1))]. given #10996 (H,wt=27): 12079 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(199,a,7309,a(flip),b,12078,a)]. given #10997 (H,wt=25): 12080 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),12079(a,1,1,3))]. given #10998 (H,wt=25): 12081 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7141(a,1),12080(a,2,1))]. given #10999 (H,wt=21): 12082 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(199,a,5836,a(flip),b,12081,a(flip)),flip(a)]. given #11000 (H,wt=38): 12083 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(12082(a,1),8065(a,2,2))]. given #11001 (H,wt=35): 12084 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(199,a,92,a(flip),b,12083,a)]. given #11002 (H,wt=33): 12085 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7105(a,1),12084(a,2,2))]. given #11003 (H,wt=31): 12086 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(105(a,1),12085(a,1,1,2,2,1))]. given #11004 (H,wt=29): 12087 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7965(a,1),12086(a,1,1,2))]. given #11005 (H,wt=25): 12088 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7097(a,1),12087(a,1,1))]. given #11006 (H,wt=23): 12089 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(105(a,1),12088(a,1,2,1,1,1))]. given #11007 (H,wt=28): 12091 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(12089(a,1),4730(a,1,2)),flip(a)]. given #11008 (H,wt=26): 12092 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(199,a,4960,a(flip),b,12091,a)]. given #11009 (H,wt=21): 12093 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(3860,a,12092,a)]. given #11010 (H,wt=19): 12095 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(199,a,8393,a(flip),b,12093,a(flip))]. given #11011 (H,wt=21): 12096 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(12095(a,2),7912(a,1,1))]. given #11012 (H,wt=21): 12097 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(9951(a,1),12096(a,1,1,1))]. given #11013 (H,wt=39): 12098 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(5782(a,2),12097(a,1,2,2))]. given #11014 (H,wt=52): 12065 ((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(10435(a,1),10809(a,1,2,2))]. given #11015 (H,wt=44): 12099 (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(11060,a,12065,a)]. given #11016 (H,wt=40): 12100 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(9085(a,1),12099(a,1,2,2)),flip(a)]. given #11017 (H,wt=40): 12101 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(4738(a,1),12100(a,2,2,2))]. given #11018 (H,wt=37): 12103 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(11864(a,1),12101(a,2,2))]. given #11019 (H,wt=37): 12104 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(7732(a,1),12103(a,2,2))]. given #11020 (H,wt=37): 12105 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(10435(a,1),12104(a,1,1,2))]. given #11021 (H,wt=37): 12106 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(199,a,9604,a,b,12105,a(flip)),flip(a)]. given #11022 (H,wt=30): 12107 (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(10808(a,1),12106(a,1,1)),flip(a)]. given #11023 (H,wt=37): 12108 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(12107(a,1),492(a,1))]. given #11024 (H,wt=57): 8614 (((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(8011(a,1),5341(a,1,2,1))]. given #11025 (H,wt=57): 10312 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1395(a,2),8367(a,2,1))]. given #11026 (H,wt=50): 12110 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(550(a,1),10312(a,1,1))]. given #11027 (H,wt=46): 12111 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(4641(a,1),12110(a,1,1,1,2))]. given #11028 (H,wt=39): 12112 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(199,a,8366,a(flip),b,12111,a(flip))]. given #11029 (H,wt=37): 12113 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2172(a,1),12112(a,1,1,2))]. given #11030 (H,wt=33): 12114 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(799(a,1),12113(a,1,1,2,1,2))]. given #11031 (H,wt=29): 12115 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1312(a,1),12114(a,1,1,2,1,2))]. given #11032 (H,wt=23): 12116 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(150(a,1),12115(a,1,1,2))]. given #11033 (H,wt=19): 12117 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(474,a,12116,a),flip(a)]. given #11034 (H,wt=19): 12119 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(5888,a,12117,a),flip(a)]. given #11035 (H,wt=19): 12122 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [para(5008(a,2),12119(a,1,1))]. given #11036 (H,wt=21): 12124 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [hyper(199,a,5948,a,b,12122,a),flip(a)]. given #11037 (H,wt=21): 12125 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(5008(a,2),12124(a,1,1))]. given #11038 (H,wt=13): 12126 K(K(x \ 1,y) \ z,x) = K(z,x). [hyper(17,a,4652,a(flip),b,12125,a),flip(a)]. given #11039 (H,wt=13): 12127 K(K(x,y \ 1) * z,y) = K(z,y). [para(5008(a,1),12126(a,1,1))]. given #11040 (H,wt=13): 12131 K(x * K(y,z \ 1),z) = K(x,z). [para(7147(a,1),12127(a,1,1))]. given #11041 (H,wt=15): 12129 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5438(a,1),12127(a,1,1))]. given #11042 (H,wt=17): 12128 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5065(a,1),12127(a,1,1,1))]. given #11043 (H,wt=17): 12133 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6032(a,1),12131(a,1,1,2))]. given #11044 (H,wt=17): 12134 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(199,a,8734,a,b,12129,a(flip)),flip(a)]. given #11045 (H,wt=17): 12137 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(7618,a,12134,a)]. given #11046 (H,wt=19): 12135 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5126(a,1),12128(a,1,1)),flip(a)]. given #11047 (H,wt=19): 12136 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6233(a,1),12133(a,1,1)),flip(a)]. given #11048 (H,wt=20): 12138 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(199,a,8514,a(flip),b,12137,a(flip)),flip(a)]. given #11049 (H,wt=16): 12141 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(199,a,6511,a(flip),b,12138,a)]. given #11050 (H,wt=21): 12139 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(199,a,9594,a,b,12135,a(flip)),flip(a)]. given #11051 (H,wt=25): 12140 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(12136(a,2),9873(a,2,2))]. given #11052 (H,wt=26): 12142 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(12141(a,1),5232(a,1,2,1,2))]. given #11053 (H,wt=20): 12144 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5504,a,12142,a),flip(a)]. given #11054 (H,wt=21): 12145 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2809(a,1),12144(a,1,1,1))]. given #11055 (H,wt=21): 12146 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(199,a,5491,a(flip),b,12145,a(flip)),flip(a)]. given #11056 (H,wt=21): 12147 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(199,a,8023,a(flip),b,12146,a)]. given #11057 (H,wt=19): 12148 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(8682,a,12147,a),flip(a)]. given #11058 (H,wt=17): 12149 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(7197,a,12148,a),flip(a)]. given #11059 (H,wt=17): 12150 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(199,a,5846,a(flip),b,12149,a)]. given #11060 (H,wt=17): 12151 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),12150(a,1,1,1)),flip(a)]. given #11061 (H,wt=17): 12152 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),12151(a,1,1,1)),flip(a)]. given #11062 (H,wt=21): 12153 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3382,a,12152,a)]. given #11063 (H,wt=17): 12154 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(8905,a,12153,a)]. given #11064 (H,wt=22): 12155 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3307(a,2),12154(a,1,1,2))]. given #11065 (H,wt=21): 12156 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(199,a,8902,a(flip),b,12155,a(flip)),flip(a)]. given #11066 (H,wt=21): 12158 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(199,a,8904,a(flip),b,12156,a(flip)),flip(a)]. given #11067 (H,wt=23): 12160 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(199,a,11445,a(flip),b,12158,a(flip))]. given #11068 (H,wt=21): 12161 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(7429,a,12160,a),flip(a)]. given #11069 (H,wt=19): 12163 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(199,a,6513,a(flip),b,12161,a)]. given #11070 (H,wt=20): 12164 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(199,a,11116,a,b,12163,a(flip)),flip(a)]. given #11071 (H,wt=22): 12166 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12164(a,1),6650(a,1,1,1))]. given #11072 (H,wt=19): 12167 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(199,a,6515,a(flip),b,12166,a(flip))]. given #11073 (H,wt=23): 12169 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),12167(a,1,3,2)),flip(a)]. given #11074 (H,wt=31): 12170 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12169(a,1),9327(a,2,2))]. given #11075 (H,wt=29): 12171 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(199,a,1280,a(flip),b,12170,a)]. given #11076 (H,wt=27): 12172 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(199,a,1516,a(flip),b,12171,a)]. given #11077 (H,wt=27): 12173 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(7033(a,1),12172(a,2,1,2))]. given #11078 (H,wt=23): 12174 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(199,a,10869,a(flip),b,12173,a)]. given #11079 (H,wt=23): 12175 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(10746(a,1),12174(a,1,1))]. given #11080 (H,wt=21): 12176 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(9500,a,12175,a)]. given #11081 (H,wt=34): 12143 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(12139(a,1),10371(a,1,1))]. given #11082 (H,wt=32): 12177 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5442(a,1),12143(a,1,2))]. given #11083 (H,wt=28): 12178 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(7710(a,1),12177(a,1,2))]. given #11084 (H,wt=24): 12179 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(199,a,12176,a(flip),b,12178,a)]. given #11085 (H,wt=21): 12180 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(199,a,10793,a(flip),b,12179,a(flip)),flip(a)]. given #11086 (H,wt=42): 12181 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(12180(a,1),11881(a,1,1))]. given #11087 (H,wt=38): 12182 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(13(a,1),12181(a,1,1,1))]. given #11088 (H,wt=34): 12183 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(13(a,1),12182(a,1,1,3)),flip(a)]. given #11089 (H,wt=32): 12184 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6029(a,1),12183(a,2,2))]. given #11090 (H,wt=28): 12185 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),12184(a,2,2,2))]. given #11091 (H,wt=26): 12186 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4910(a,1),12185(a,2,2))]. given #11092 (H,wt=23): 12187 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(199,a,9190,a(flip),b,12186,a)]. given #11093 (H,wt=21): 12188 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6164,a,12187,a)]. given #11094 (H,wt=17): 12189 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),12188(a,1,2))]. given #11095 (H,wt=17): 12190 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(199,a,5174,a(flip),b,12189,a(flip)),flip(a)]. given #11096 (H,wt=57): 12109 (((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(5530(a,1),8614(a,1,1,1))]. given #11097 (H,wt=58): 11830 (((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(11829(a,1),9441(a,1,1,2))]. given #11098 (H,wt=56): 12191 (((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(1605(a,1),11830(a,2,1))]. given #11099 (H,wt=38): 12192 (((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(199,a,11477,a(flip),b,12191,a)]. given #11100 (H,wt=36): 12194 ((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(10857(a,1),12192(a,1,1))]. given #11101 (H,wt=25): 12195 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(199,a,10880,a(flip),b,12194,a(flip)),flip(a)]. given #11102 (H,wt=17): 12196 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(199,a,11962,a(flip),b,12195,a(flip))]. given #11103 (H,wt=17): 12197 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(12196(a,2),10787(a,1,1))]. given #11104 (H,wt=17): 12199 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(342,a,12197,a)]. given #11105 (H,wt=21): 12198 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(12196(a,2),10789(a,1,1))]. given #11106 (H,wt=21): 12201 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(342,a,12198,a)]. given #11107 (H,wt=35): 12200 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(4449(a,1),12199(a,1,1))]. given #11108 (H,wt=35): 12202 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(10750(a,1),12200(a,1,2,1))]. given #11109 (H,wt=25): 12203 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(199,a,12199,a(flip),b,12202,a(flip))]. given #11110 (H,wt=62): 6648 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(5680(a,1),5631(a,1,2,2,1,2))]. given #11111 (H,wt=52): 12204 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4247(a,1),6648(a,1,2,1)),flip(a)]. given #11112 (H,wt=52): 12205 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2289(a,1),12204(a,2,2,2))]. given #11113 (H,wt=65): 9261 (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(5830,a,9260,a)]. given #11114 (H,wt=63): 12207 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4535(a,1),9261(a,1,2,1,2,2,2))]. given #11115 (H,wt=61): 12208 (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(4268(a,1),12207(a,1,2,1,2,2))]. given #11116 (H,wt=61): 12209 (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(7732(a,1),12208(a,1,2,1))]. given #11117 (H,wt=59): 12210 (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(8064(a,1),12209(a,1,2,1,2))]. given #11118 (H,wt=54): 12211 (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(7491(a,1),12210(a,1,2,1,2))]. given #11119 (H,wt=52): 12213 (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(7856(a,1),12211(a,1,2,1))]. given #11120 (H,wt=50): 12214 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4535(a,1),12213(a,1,2,2,1,2,1,2,2))]. given #11121 (H,wt=48): 12215 (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(4268(a,1),12214(a,1,2,2,1,2,1,2))]. given #11122 (H,wt=48): 12216 (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(7717(a,1),12215(a,1,2,2,1,2))]. given #11123 (H,wt=46): 12217 (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(9265(a,1),12216(a,1,2,2,1,2,2))]. given #11124 (H,wt=41): 12218 (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(7173(a,1),12217(a,1,2,2,1,2,2))]. given #11125 (H,wt=39): 12220 (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(7850(a,1),12218(a,1,2,2,1,2))]. given #11126 (H,wt=39): 12221 (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(4718(a,1),12220(a,1,2,2,1))]. given #11127 (H,wt=39): 12222 (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(8711(a,2),12221(a,1,2))]. given #11128 (H,wt=35): 12223 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(199,a,8703,a(flip),b,12222,a(flip)),flip(a)]. given #11129 (H,wt=33): 12224 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(1257(a,1),12223(a,1,2)),flip(a)]. given #11130 (H,wt=31): 12225 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(199,a,5074,a(flip),b,12224,a)]. given #11131 (H,wt=25): 12226 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1001(a,1),12225(a,1,1)),flip(a)]. given #11132 (H,wt=29): 12227 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(199,a,11137,a,b,12226,a(flip)),flip(a)]. given #11133 (H,wt=23): 12228 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1001(a,1),12227(a,1,1))]. given #11134 (H,wt=30): 12229 (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(12228(a,1),11878(a,1,2))]. given #11135 (H,wt=23): 12230 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(11879,a,12229,a),flip(a)]. given #11136 (H,wt=23): 12231 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(199,a,7716,a,b,12230,a)]. given #11137 (H,wt=23): 12232 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(199,a,11110,a(flip),b,12231,a(flip)),flip(a)]. given #11138 (H,wt=23): 12233 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(199,a,7732,a,b,12232,a)]. given #11139 (H,wt=23): 12234 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11111,a,12233,a)]. given #11140 (H,wt=31): 12235 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(199,a,11112,a,b,12234,a(flip)),flip(a)]. given #11141 (H,wt=29): 12236 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(199,a,10799,a(flip),b,12235,a)]. given #11142 (H,wt=23): 12237 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(7826,a,12236,a)]. given #11143 (H,wt=23): 12239 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(199,a,7825,a,b,12237,a(flip)),flip(a)]. given #11144 (H,wt=26): 12238 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(12236(a,1),7826(a,1))]. given #11145 (H,wt=39): 12240 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(199,a,11998,a,b,12239,a(flip)),flip(a)]. given #11146 (H,wt=29): 12241 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(8566,a,12240,a)]. given #11147 (H,wt=23): 12242 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(199,a,12040,a(flip),b,12241,a(flip)),flip(a)]. given #11148 (H,wt=21): 12243 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(8538(a,1),12242(a,1,1)),flip(a)]. given #11149 (H,wt=12): 12244 K(x,K(y * z,a(y,z,u))) = 1. [hyper(199,a,11040,a(flip),b,12243,a)]. given #11150 (H,wt=14): 12245 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(12238,a,12244,a)]. given #11151 (H,wt=31): 12248 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(12245(a,1),7772(a,1,1)),flip(a)]. given #11152 (H,wt=29): 12249 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(199,a,11,a(flip),b,12248,a)]. given #11153 (H,wt=25): 12250 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(12249(a,1),6364(a,1,1)),flip(a)]. given #11154 (H,wt=19): 12251 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7253,a,12250,a)]. given #11155 (H,wt=20): 12252 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(7612,a,12251,a)]. given #11156 (H,wt=23): 12253 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(199,a,8258,a,b,12252,a(flip)),flip(a)]. given #11157 (H,wt=23): 12254 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12026(a,2),12253(a,1,1))]. given #11158 (H,wt=23): 12255 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(199,a,11454,a,b,12254,a(flip)),flip(a)]. given #11159 (H,wt=15): 12256 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(199,a,12021,a(flip),b,12255,a(flip)),flip(a)]. given #11160 (H,wt=17): 12257 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(199,a,12049,a,b,12256,a),flip(a)]. given #11161 (H,wt=15): 12259 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(199,a,11362,a(flip),b,12257,a)]. given #11162 (H,wt=13): 12260 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(199,a,11950,a(flip),b,12259,a(flip))]. given #11163 (H,wt=8): 12263 a(x,x,K(y,z)) = 1. [hyper(199,a,4750,a(flip),b,12260,a(flip))]. given #11164 (H,wt=10): 12261 a(K(x,y),z,z \ x) = 1. [hyper(199,a,10113,a(flip),b,12260,a)]. given #11165 (H,wt=10): 12265 L(K(x,y),z,z) = K(x,y). [hyper(33,a,12263,a)]. given #11166 (H,wt=12): 12267 L(x \ y,x,K(y,z)) = x \ y. [hyper(33,a,12261,a)]. given #11167 (H,wt=12): 12270 L(x \ y,x,K(z,y)) = x \ y. [para(4738(a,1),12267(a,1,3))]. given #11168 (H,wt=13): 12264 a(K(x,y),z,u) = a(x,z,K(y,u)). [para(4738(a,1),12260(a,1,1))]. given #11169 (H,wt=13): 12274 a(x,y,K(z,u)) = a(z,y,K(x,u)). [hyper(199,a,12260,a(flip),b,12264,a(flip))]. given #11170 (H,wt=10): 12277 a(x,y,K(z,y * x)) = 1. [hyper(199,a,10110,a(flip),b,12274,a)]. given #11171 (H,wt=13): 12275 a(K(x,y),z,u) = a(x,z,K(u,y)). [para(4738(a,1),12264(a,2,3))]. given #11172 (H,wt=13): 12276 a(x,y,K(z,u)) = K(x,a(z,y,u)). [hyper(199,a,12050,a(flip),b,12274,a)]. given #11173 (H,wt=13): 12278 a(x,y,K(z,u)) = a(u,y,K(x,z)). [para(4738(a,1),12274(a,1,3))]. given #11174 (H,wt=11): 12295 a(x,L(x,y,z),K(u,w)) = 1. [hyper(199,a,10305,a(flip),b,12278,a(flip))]. given #11175 (H,wt=12): 12296 a(x \ y,y \ x,K(z,u)) = 1. [hyper(199,a,6722,a(flip),b,12278,a(flip))]. given #11176 (H,wt=13): 12283 a(x,y,K(z,u)) = K(a(z,y,u),x). [hyper(199,a,4738,a,b,12276,a)]. given #11177 (H,wt=13): 12293 a(x,y,K(z,u)) = a(u,y,K(z,x)). [hyper(199,a,12274,a,b,12278,a(flip))]. given #11178 (H,wt=13): 12294 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(199,a,12050,a(flip),b,12278,a(flip))]. given #11179 (H,wt=13): 12303 L(K(x,y),L(z,u,w),z) = K(x,y). [hyper(33,a,12295,a)]. given #11180 (H,wt=14): 12304 L(K(x,y),z \ u,u \ z) = K(x,y). [hyper(33,a,12296,a)]. given #11181 (H,wt=12): 12309 L(K(x,y),z,z \ x) = K(x,y). [hyper(10467,a,12304,a)]. given #11182 (H,wt=12): 12310 L(K(x,y),z,z \ 1) = K(x,y). [para(51(a,1),12304(a,1,2))]. given #11183 (H,wt=12): 12311 L(K(x,y),z \ 1,z) = K(x,y). [para(51(a,1),12304(a,1,3))]. given #11184 (H,wt=13): 12314 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(2805,a,12310,a)]. given #11185 (H,wt=13): 12317 K(x,y * (z \ 1)) = K(x,y / z). [hyper(199,a,11104,a(flip),b,12310,a(flip)),flip(a)]. given #11186 (H,wt=13): 12318 (1 / x) \ K(y,z) = x * K(y,z). [hyper(68,a,12310,a(flip),b,2801,a)]. given #11187 (H,wt=13): 12322 K((x \ 1) \ y,z) = K(x * y,z). [hyper(199,a,10464,a(flip),b,12311,a(flip))]. given #11188 (H,wt=13): 12323 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(68,a,12311,a(flip),b,173,a),flip(a)]. given #11189 (H,wt=13): 12325 K(x * (y \ 1),z) = K(z,x / y). [hyper(4862,a,12317,a)]. given #11190 (H,wt=13): 12346 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(6243,a,12323,a)]. given #11191 (H,wt=13): 12358 K(x * (y \ 1),z) = K(x / y,z). [hyper(199,a,4738,a,b,12325,a)]. given #11192 (H,wt=13): 12360 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(520,a,12346,a),flip(a)]. given #11193 (H,wt=13): 12366 K(x * (1 / y),z) = K(x / y,z). [hyper(199,a,5174,a,b,12358,a(flip)),flip(a)]. given #11194 (H,wt=13): 12367 K(x / (1 / y),z) = K(x * y,z). [para(63(a,1),12358(a,1,1,2)),flip(a)]. given #11195 (H,wt=13): 12370 1 / (x * K(y,z)) = K(z,y) / x. [para(12360(a,1),60(a,1,2))]. given #11196 (H,wt=15): 12273 K(x,x * a(y,z,u)) = a(x,z,K(y,u)). [hyper(199,a,12259,a,b,12264,a(flip)),flip(a)]. given #11197 (H,wt=15): 12291 a(x,y,K(z,z \ u)) = a(z,y,K(u,x)). [hyper(199,a,10557,a,b,12278,a),flip(a)]. given #11198 (H,wt=15): 12301 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(12278(a,2),12052(a,1,2))]. given #11199 (H,wt=15): 12306 a(x,y,K(z,u \ 1)) = a(u,y,K(z,x)). [hyper(199,a,10561,a,b,12293,a),flip(a)]. given #11200 (H,wt=15): 12307 a(x \ y,z,K(x,u)) = a(u,z,K(x,y)). [hyper(199,a,10557,a(flip),b,12293,a)]. given #11201 (H,wt=15): 12308 a(x * y,z,K(x,u)) = a(u,z,K(x,y)). [hyper(199,a,10556,a(flip),b,12293,a)]. given #11202 (H,wt=15): 12319 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(6551,a,12311,a)]. given #11203 (H,wt=15): 12328 T(x,y * (z \ 1)) = x * K(x,y / z). [para(12317(a,1),4652(a,2,2))]. given #11204 (H,wt=13): 12382 T(x,y * (z \ 1)) = T(x,y / z). [hyper(199,a,4652,a,b,12328,a)]. given #11205 (H,wt=13): 12384 T(x,y * (1 / z)) = T(x,y / z). [hyper(199,a,4270,a,b,12382,a(flip)),flip(a)]. given #11206 (H,wt=13): 12385 T(x,y / (1 / z)) = T(x,y * z). [para(63(a,1),12382(a,1,2,2)),flip(a)]. given #11207 (H,wt=15): 12341 x * (y * K(x * y,z)) = T(x * y,z). [para(12322(a,1),6081(a,1,2,2))]. given #11208 (H,wt=14): 12390 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(10500,a,12341,a)]. given #11209 (H,wt=16): 12271 L(x \ T(y,z),x,K(y,u)) = x \ T(y,z). [para(7143(a,1),12267(a,1,3))]. given #11210 (H,wt=13): 12394 (K(x,y) * z) \ x = z \ T(x,y). [hyper(199,a,4766,a(flip),b,12271,a(flip)),flip(a)]. given #11211 (H,wt=13): 12396 (K(x,y) * z) \ T(y,x) = z \ y. [para(5014(a,1),12394(a,1,1)),flip(a)]. given #11212 (H,wt=13): 12397 (K(x,y) * z) * (z \ y) = T(y,x). [para(12396(a,1),14(a,1,2))]. given #11213 (H,wt=13): 12398 K(x,y) * (y / z) = T(y,x) / z. [hyper(273,a,12397,a),flip(a)]. given #11214 (H,wt=13): 12403 K(x,y) * (x / z) = T(x,y) / z. [para(4738(a,1),12398(a,1,1))]. given #11215 (H,wt=13): 12404 T(x,y) / (z \ x) = K(x,y) * z. [para(60(a,1),12403(a,1,2)),flip(a)]. given #11216 (H,wt=15): 12399 (K(x,y * z) * y) * z = T(y * z,x). [para(13(a,1),12397(a,1,2))]. given #11217 (H,wt=15): 12408 (x * K(y,z * x)) * z = T(x * z,y). [para(9937(a,1),12399(a,1,1))]. given #11218 (H,wt=15): 12409 x \ T(x * y,z) = y * K(z,x * y). [hyper(18,a,4398,a,b,12408,a),flip(a)]. given #11219 (H,wt=16): 12272 L(x \ (y * z),x,K(y,z)) = x \ (y * z). [hyper(199,a,11394,a(flip),b,12270,a(flip)),flip(a)]. given #11220 (H,wt=15): 12412 (K(x,y) * z) \ (y * x) = z \ (x * y). [hyper(199,a,5657,a(flip),b,12272,a(flip)),flip(a)]. given #11221 (H,wt=16): 12305 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(12283(a,2),12063(a,1))]. given #11222 (H,wt=16): 12315 T(T(K(x,y),z),z) = L(K(x,y),u,u \ 1). [hyper(199,a,47,a,b,12310,a),flip(a)]. given #11223 (H,wt=15): 12416 L(K(x,y),z,z \ 1) != u | K(x,y) = u. [para(12315(a,1),338(a,1)),flip(b)]. given #11224 (H,wt=15): 12417 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(10435(a,1),12416(a,1))]. given #11225 (H,wt=16): 12359 K(x * (y \ 1),z) != u | K(x / y,z) = u. [para(12325(a,2),4862(a,1))]. given #11226 (H,wt=16): 12364 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(12346(a,1),6256(a,1,1)),flip(b)]. given #11227 (H,wt=16): 12368 K(x * (y \ 1),z) != u | K(z,x / y) = u. [para(12358(a,2),4862(a,1))]. given #11228 (H,wt=16): 12383 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(12328(a,2),4655(a,1))]. given #11229 (H,wt=16): 12393 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(12390(a,1),389(a,1,2)),flip(a)]. given #11230 (H,wt=16): 12413 a(x,y,K(z,u)) != w | a(u,y,K(z,x)) = w. [para(4738(a,1),12305(a,1,3))]. given #11231 (H,wt=16): 12414 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(12278(a,1),12305(a,1))]. given #11232 (H,wt=16): 12415 a(x,y,K(z,u)) != w | a(z,y,K(x,u)) = w. [para(12293(a,1),12305(a,1))]. given #11233 (H,wt=16): 12418 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(11104(a,1),12416(a,1))]. given #11234 (H,wt=16): 12421 K(x,(1 / y) * z) != u | K(x,y \ z) = u. [para(2809(a,1),12417(a,1,2))]. given #11235 (H,wt=13): 12438 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(12421,a,5215,a),flip(a)]. given #11236 (H,wt=13): 12439 K(x,(1 / y) * z) = K(x,y \ z). [hyper(12421,a,xx),flip(a)]. given #11237 (H,wt=13): 12443 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(199,a,5213,a(flip),b,12438,a(flip))]. given #11238 (H,wt=15): 12446 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(199,a,9931,a,b,12443,a),flip(a)]. given #11239 (H,wt=15): 12447 T(x,(y \ 1) \ z) = x * K(x,y * z). [para(12443(a,1),4652(a,2,2))]. given #11240 (H,wt=13): 12452 T(x,(y \ 1) \ z) = T(x,y * z). [hyper(199,a,4652,a,b,12447,a)]. given #11241 (H,wt=13): 12455 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(199,a,4276,a(flip),b,12452,a(flip))]. given #11242 (H,wt=13): 12456 T(x,y * ((y \ 1) * z)) = T(x,z). [para(13(a,1),12452(a,1,2)),flip(a)]. given #11243 (H,wt=12): 12463 T(x,L(y,z \ 1,z)) = T(x,y). [para(173(a,1),12456(a,1,2))]. given #11244 (H,wt=12): 12464 T(x,L(y,z,z \ 1)) = T(x,y). [para(2863(a,1),12463(a,1,2))]. given #11245 (H,wt=13): 12457 T(x,(1 / y) * z) = T(x,y \ z). [para(63(a,1),12452(a,1,2,1)),flip(a)]. given #11246 (H,wt=16): 12428 K(x,a(y,z,u)) != w | a(u,z,K(y,x)) = w. [para(12276(a,1),12413(a,1))]. given #11247 (H,wt=16): 12433 K(a(x,y,z),u) != w | a(u,y,K(x,z)) = w. [para(12062(a,1),12414(a,1))]. given #11248 (H,wt=16): 12434 a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. [para(12275(a,2),12414(a,1))]. given #11249 (H,wt=16): 12437 K(x,y * (1 / z)) != u | K(x,y / z) = u. [para(5210(a,2),12418(a,1))]. given #11250 (H,wt=16): 12440 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(5215(a,1),12421(a,1))]. given #11251 (H,wt=16): 12451 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(12446(a,1),9963(a,1))]. given #11252 (H,wt=16): 12453 T(x,(y \ 1) \ z) != u | T(x,y * z) = u. [para(12447(a,2),4655(a,1))]. given #11253 (H,wt=17): 12279 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(7716(a,1),12274(a,1,3))]. given #11254 (H,wt=17): 12280 K(x,y) * a(x,z,K(u,y)) = L(K(x,y),z,u). [para(12274(a,1),8997(a,1,2))]. given #11255 (H,wt=11): 12471 a(x,R(x,y,z),K(u,w)) = 1. [hyper(67,a,10192,a(flip),b,12280,a),flip(a)]. given #11256 (H,wt=13): 12472 L(K(x,y),R(z,u,w),z) = K(x,y). [hyper(33,a,12471,a)]. given #11257 (H,wt=17): 12288 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [para(12276(a,1),12276(a,2,2))]. given #11258 (H,wt=17): 12289 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [hyper(8996,a,12278,a)]. given #11259 (H,wt=17): 12290 K(x,y) \ L(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(8990,a,12278,a)]. given #11260 (H,wt=17): 12292 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(21,a,12278,a)]. given #11261 (H,wt=17): 12297 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(12278(a,2),8988(a,1,2))]. given #11262 (H,wt=17): 12298 K(x,y) * a(x,z,K(y,u)) = L(K(x,y),z,u). [para(12278(a,2),8997(a,1,2))]. given #11263 (H,wt=17): 12300 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(12278(a,2),9377(a,1,1))]. given #11264 (H,wt=17): 12302 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(12278(a,1),12196(a,2,2))]. given #11265 (H,wt=17): 12330 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(199,a,5944,a(flip),b,12318,a)]. given #11266 (H,wt=17): 12342 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(12322(a,1),6185(a,1,1,2))]. given #11267 (H,wt=17): 12363 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(6232(a,1),12346(a,1,1)),flip(a)]. given #11268 (H,wt=17): 12386 T(x,y * (z \ K(z,u))) = T(x,y / T(z,u)). [para(4775(a,1),12382(a,1,2,2))]. given #11269 (H,wt=17): 12405 T(x,y) / T(z,z \ x) = K(x,y) * (z \ x). [para(181(a,1),12403(a,1,2)),flip(a)]. given #11270 (H,wt=15): 12485 x * (K(y,z) * (x \ y)) = T(y,T(z,x)). [para(12405(a,1),10024(a,1,2))]. given #11271 (H,wt=15): 12486 x \ T(y,T(z,x)) = K(y,z) * (x \ y). [hyper(73,a,12485,a)]. given #11272 (H,wt=15): 12487 K(x,T(y,z)) * (z \ x) = z \ T(x,y). [hyper(68,a,5130,a(flip),b,12485,a),flip(a)]. given #11273 (H,wt=13): 12491 (x \ y) * K(y,z) = x \ T(y,z). [hyper(199,a,7921,a(flip),b,12487,a(flip)),flip(a)]. given #11274 (H,wt=13): 12499 (x \ T(y,z)) \ (x \ y) = K(z,y). [para(12491(a,1),6232(a,1,1))]. given #11275 (H,wt=13): 12502 (T(x,y) / z) \ x = z * K(y,x). [para(12499(a,1),235(a,1,2)),flip(a)]. given #11276 (H,wt=13): 12504 x / (y * K(z,x)) = T(x,z) / y. [para(12502(a,1),60(a,1,2))]. given #11277 (H,wt=15): 12500 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [para(12491(a,1),12314(a,1,2))]. given #11278 (H,wt=17): 12450 K(x,T((y \ 1) \ z,u)) = T(K(x,y * z),u). [para(12443(a,1),7084(a,2,1))]. given #11279 (H,wt=17): 12466 T(x,T((1 / y) * z,u)) = T(x,T(y \ z,u)). [para(2810(a,1),12464(a,1,2))]. given #11280 (H,wt=17): 12470 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7716(a,1),12279(a,2,3))]. given #11281 (H,wt=17): 12473 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [hyper(199,a,12279,a,b,12288,a(flip)),flip(a)]. given #11282 (H,wt=17): 12475 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [para(12290(a,1),4541(a,1,1))]. given #11283 (H,wt=17): 12476 K(x,y) * L(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(5045,a,12297,a)]. given #11284 (H,wt=17): 12494 K(x,y) * (z \ T(x,y)) = T(z \ x,K(x,y)). [hyper(154,a,12491,a,b,5041,a),flip(a)]. given #11285 (H,wt=17): 12508 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(199,a,5790,a,b,12500,a(flip)),flip(a)]. given #11286 (H,wt=17): 12509 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(199,a,7084,a,b,12450,a)]. given #11287 (H,wt=17): 12514 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(7732(a,1),12473(a,1,3))]. given #11288 (H,wt=17): 12520 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(199,a,5490,a(flip),b,12508,a(flip)),flip(a)]. given #11289 (H,wt=15): 12521 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(12520(a,1),6599(a,2,1))]. given #11290 (H,wt=13): 12523 K(x,y) * (1 / z) = K(x,y) / z. [hyper(199,a,12404,a(flip),b,12521,a(flip)),flip(a)]. given #11291 (H,wt=13): 12525 K(x,y) / (z \ 1) = K(x,y) * z. [para(60(a,1),12523(a,1,2)),flip(a)]. given #11292 (H,wt=13): 12529 (K(x,y) * z) \ K(x,y) = z \ 1. [para(12525(a,1),63(a,1,1))]. given #11293 (H,wt=15): 12522 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(199,a,4603,a(flip),b,12521,a)]. given #11294 (H,wt=15): 12533 (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). [para(4896(a,1),12529(a,1,1)),flip(a)]. given #11295 (H,wt=16): 12531 K(x,y) / (x \ 1) != z | x * K(x,y) = z. [para(12525(a,2),3092(a,1))]. given #11296 (H,wt=17): 12526 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [para(4603(a,2),12523(a,1,2))]. given #11297 (H,wt=17): 12527 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(12523(a,1),6315(a,1,1))]. given #11298 (H,wt=18): 12284 a(x,y,z) * a(u,y,K(x,z)) = T(a(x,y,z),u). [para(12276(a,2),4685(a,2,2)),flip(a)]. given #11299 (H,wt=18): 12411 x \ T(x * y,z) != y * u | K(z,x * y) = u. [para(12409(a,2),19(a,1))]. given #11300 (H,wt=18): 12429 a(x,y,K(z,u \ 1)) != w | a(x,y,K(z,u)) = w. [para(12306(a,2),12413(a,1))]. given #11301 (H,wt=18): 12430 a(x,y,K(z,u)) != w | a(x,y,K(z,z \ u)) = w. [para(12307(a,1),12413(a,1))]. given #11302 (H,wt=18): 12435 a(x,y,K(z,z \ u)) != w | a(x,y,K(z,u)) = w. [para(12291(a,2),12414(a,1))]. given #11303 (H,wt=18): 12436 K(x,x * a(y,z,u)) != w | a(y,z,K(x,u)) = w. [para(12273(a,2),12415(a,1))]. given #11304 (H,wt=18): 12458 T(x \ 1,x * y) != z | ((x \ 1) \ y) \ y = z. [para(12452(a,1),352(a,1))]. given #11305 (H,wt=18): 12469 K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. [para(12438(a,2),12451(a,1))]. given #11306 (H,wt=18): 12490 x * (K(y,z) * (x \ y)) != u | T(y,T(z,x)) = u. [para(12486(a,1),211(a,1,2)),flip(b)]. given #11307 (H,wt=18): 12538 a(x,y,K(z,u)) != w | a(x,y,K(z,u \ 1)) = w. [para(3381(a,1),12429(a,1,3))]. given #11308 (H,wt=18): 12539 a(x,y,K(z,u \ z)) != w | a(x,y,K(z,u)) = w. [para(10558(a,1),12429(a,1))]. given #11309 (H,wt=18): 12541 K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. [para(3915(a,1),12469(a,1,2,1))]. given #11310 (H,wt=19): 12285 a(x,y,K(z,u)) * (x \ w) = T(x,a(z,y,u)) \ w. [para(12276(a,2),5074(a,1,1))]. given #11311 (H,wt=19): 12312 K(x,((y \ x) * y) \ z) = K(x,y \ ((y \ x) \ z)). [hyper(10484,a,12309,a)]. given #11312 (H,wt=15): 12542 K(x,y \ ((y \ x) \ z)) = K(x,x \ z). [hyper(11602,a,12312,a),flip(a)]. given #11313 (H,wt=19): 12345 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(12322(a,1),8928(a,1,1,2))]. given #11314 (H,wt=19): 12379 a(x,y,K((x \ z) \ u,w)) = a(w,y,K(x,z \ u)). [para(9708(a,1),12291(a,1,3)),flip(a)]. given #11315 (H,wt=19): 12380 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,x * u). [para(12308(a,1),8997(a,1,2))]. given #11316 (H,wt=15): 12546 L(K(x,y),z,x * u) = L(K(x,y),z,u). [hyper(199,a,12297,a(flip),b,12380,a(flip))]. given #11317 (H,wt=19): 12381 a(x,y,K(z,u \ (w \ 1))) = a(w * u,y,K(z,x)). [para(12319(a,1),12306(a,1,3))]. given #11318 (H,wt=19): 12410 x \ T(x * (y \ 1),z) = y \ K(z,x * (y \ 1)). [hyper(199,a,12323,a(flip),b,12409,a)]. given #11319 (H,wt=17): 12548 x \ T(x * (y \ 1),z) = y \ K(z,x / y). [para(12317(a,1),12410(a,2,2))]. given #11320 (H,wt=19): 12477 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u \ 1). [para(10561(a,1),12297(a,1,2))]. given #11321 (H,wt=15): 12550 L(K(x,y),z,u \ 1) = L(K(x,y),z,u). [hyper(199,a,12297,a(flip),b,12477,a(flip))]. given #11322 (H,wt=15): 12551 K(x,L(y,z,u \ 1)) = L(K(x,y),z,u). [hyper(10456,a,12550,a)]. given #11323 (H,wt=15): 12552 K(x,L(y,z,x \ 1)) != u | K(x,y) = u. [para(12551(a,2),7367(a,1))]. given #11324 (H,wt=19): 12478 K(x,y) \ L(K(x,y),z,u) = a(x,x \ z,K(y,u)). [hyper(68,a,10463,a(flip),b,12298,a)]. given #11325 (H,wt=15): 12555 a(x,x \ y,K(z,u)) = a(x,y,K(u,z)). [hyper(199,a,12290,a(flip),b,12478,a(flip))]. given #11326 (H,wt=15): 12556 a(x,y \ z,K(y,u)) = a(y,z,K(x,u)). [hyper(12414,a,12555,a)]. given #11327 (H,wt=15): 12557 a(x,x \ y,K(z,u)) = a(u,y,K(x,z)). [hyper(199,a,12274,a,b,12555,a)]. given #11328 (H,wt=15): 12558 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [hyper(199,a,12274,a,b,12556,a)]. given #11329 (H,wt=15): 12561 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [para(13(a,1),12558(a,1,2)),flip(a)]. given #11330 (H,wt=18): 12559 a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. [para(12556(a,2),12415(a,1))]. given #11331 (H,wt=18): 12562 a(x,y \ z,K(y,u)) != w | a(y,z,K(x,u)) = w. [para(12558(a,2),12415(a,1))]. given #11332 (H,wt=19): 12505 T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). [para(5970(a,1),12504(a,1,2)),flip(a)]. given #11333 (H,wt=19): 12537 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(12370(a,2),12527(a,1,1))]. given #11334 (H,wt=15): 12565 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(199,a,7893,a(flip),b,12537,a(flip)),flip(a)]. given #11335 (H,wt=19): 12543 K(x * y,(x * y) \ z) = K(x * y,x \ (y \ z)). [para(13(a,1),12542(a,1,2,2,1)),flip(a)]. given #11336 (H,wt=19): 12553 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [para(12551(a,2),8133(a,1,2))]. given #11337 (H,wt=19): 12560 L(K(x,y),z \ u,z) = K(x,y) * a(x,u,K(z,y)). [para(12557(a,1),8988(a,1,2)),flip(a)]. given #11338 (H,wt=15): 12569 L(K(x,y),z \ u,z) = L(K(x,y),u,z). [hyper(199,a,12280,a(flip),b,12560,a)]. given #11339 (H,wt=15): 12571 L(K(x,y),z / u,u) = L(K(x,y),z,u). [hyper(10015,a,12569,a)]. given #11340 (H,wt=15): 12573 L(K(x,y),z * u,z) = L(K(x,y),u,z). [para(13(a,1),12569(a,1,2)),flip(a)]. given #11341 (H,wt=15): 12578 L(K(x,y),z * u,u) = L(K(x,y),z,u). [para(15(a,1),12571(a,1,2)),flip(a)]. given #11342 (H,wt=18): 12570 L(K(x,(y \ z) \ u),z,y) = K(x,z \ (y * u)). [hyper(10483,a,12569,a),flip(a)]. given #11343 (H,wt=18): 12572 L(K(x,y \ (z \ u)),u,z) = K(x,(z * y) \ u). [hyper(6551,a,12569,a),flip(a)]. given #11344 (H,wt=19): 12563 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7716(a,2),12561(a,1,3))]. given #11345 (H,wt=19): 12564 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(12505(a,1),3967(a,1,2)),flip(a)]. given #11346 (H,wt=19): 12568 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(63(a,1),12553(a,1,2,2,3)),flip(a)]. given #11347 (H,wt=19): 12582 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7716(a,2),12563(a,2,3))]. given #11348 (H,wt=20): 12362 K(x \ 1,x) * (y \ 1) != z | y \ K(x \ 1,x) = z. [para(12346(a,1),5140(a,1,2)),flip(b)]. given #11349 (H,wt=20): 12422 (x \ 1) * K(y,(z \ 1) \ 1) != u | x \ K(y,z) = u. [para(3381(a,2),12364(a,1,2))]. given #11350 (H,wt=20): 12423 (x \ 1) * K(y,z \ 1) != u | x \ K(y,1 / z) = u. [para(3385(a,1),12364(a,1,2))]. given #11351 (H,wt=20): 12431 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(x,K(w,z))) = v5. [para(7733(a,1),12414(a,1,3))]. given #11352 (H,wt=20): 12432 K(x,y) \ L(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(8987(a,2),12414(a,1))]. given #11353 (H,wt=20): 12474 K(x,y) * a(x,z,K(u,y)) != w | L(K(x,y),z,u) = w. [para(12289(a,1),5019(a,1,2)),flip(b)]. given #11354 (H,wt=18): 12588 L(K(x,y),z \ u,z) != w | L(K(x,y),u,z) = w. [para(12560(a,2),12474(a,1))]. given #11355 (H,wt=18): 12589 L(K(x,y),z / u,u) != w | L(K(x,y),z,u) = w. [para(9995(a,2),12588(a,1))]. given #11356 (H,wt=20): 12496 x \ T(y,z) != K(y,z) * u | T(x \ y,K(y,z)) = u. [para(12491(a,1),155(a,2)),flip(a)]. given #11357 (H,wt=20): 12510 K(x,T((y \ 1) \ z,u)) != w | K(x,T(y * z,u)) = w. [para(12450(a,2),7132(a,1))]. given #11358 (H,wt=20): 12516 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(12475(a,1),20(a,1))]. given #11359 (H,wt=20): 12518 K(x,y) * a(y,z,K(x,u)) != w | L(K(x,y),z,u) = w. [para(12476(a,1),5042(a,1,2)),flip(b)]. given #11360 (H,wt=18): 12591 L(K(x,y),z,u \ 1) != w | L(K(x,y),z,u) = w. [para(12477(a,1),12518(a,1))]. given #11361 (H,wt=20): 12584 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(w,x))) = v5. [para(12274(a,1),12431(a,1))]. given #11362 (H,wt=20): 12585 K(x,K(y,a(z,u,w))) != v5 | a(x,u,K(y,K(z,w))) = v5. [para(12473(a,1),12431(a,1))]. given #11363 (H,wt=20): 12586 K(x,y) * a(x,z,K(y,u)) != w | L(K(x,y),z,u) = w. [para(4738(a,1),12474(a,1,2,3))]. given #11364 (H,wt=20): 12587 K(x,y) * a(z,u,K(x,y)) != w | L(K(x,y),u,z) = w. [para(12274(a,1),12474(a,1,2))]. given #11365 (H,wt=21): 12286 x \ (y * a(x \ y,z,K(u,w))) = T(x \ y,a(u,z,w)). [para(12276(a,2),5975(a,1,2,2))]. given #11366 (H,wt=19): 12592 x \ (y * a(z,u,K(x,y))) = T(x \ y,a(x,u,z)). [para(12307(a,1),12286(a,1,2,2))]. given #11367 (H,wt=21): 12299 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(12278(a,1),8994(a,2,1))]. given #11368 (H,wt=21): 12387 T(x,(y * K(z,u \ 1)) / u) = T(x,y * T(u \ 1,z)). [para(5935(a,1),12382(a,1,2)),flip(a)]. given #11369 (H,wt=21): 12388 T(x,y * (z * K(u,z \ 1))) = T(x,y / T(z \ 1,u)). [para(6219(a,1),12384(a,1,2,2))]. given #11370 (H,wt=21): 12419 L(K(x,y / z),u,u \ 1) != w | K(x,y * (z \ 1)) = w. [para(12317(a,1),12416(a,1,1))]. given #11371 (H,wt=21): 12442 K(x,(T(1 / y,z) \ 1) * u) = K(x,T(y \ 1,z) \ u). [hyper(199,a,5334,a(flip),b,12438,a)]. given #11372 (H,wt=21): 12454 T(x,(T(1 / y,z) \ 1) \ u) = T(x,T(y \ 1,z) * u). [hyper(199,a,4281,a(flip),b,12452,a)]. given #11373 (H,wt=21): 12461 T(x,y \ (K(z,y \ 1) * u)) = T(x,T(y \ 1,z) * u). [para(4909(a,1),12455(a,1,2)),flip(a)]. given #11374 (H,wt=21): 12536 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(12527(a,1),11075(a,1,1))]. given #11375 (H,wt=21): 12566 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(12565(a,1),12523(a,1,2))]. given #11376 (H,wt=21): 12581 K(x,(y * z) \ L(y,u,w)) = K(x,z \ (y \ L(y,u,w))). [hyper(199,a,12303,a(flip),b,12572,a(flip))]. given #11377 (H,wt=21): 12593 T(x,(y / z) * K(u,z \ 1)) = T(x,y * T(z \ 1,u)). [para(5696(a,1),12387(a,1,2))]. given #11378 (H,wt=22): 12281 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(12275(a,1),83(a,1,2))]. given #11379 (H,wt=22): 12282 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(12275(a,1),120(a,1,2))]. given #11380 (H,wt=22): 12448 L(K(x,y * (z \ u)),z \ u,z) = K(x,(z * (y \ 1)) \ u). [para(12443(a,1),6396(a,1,1))]. given #11381 (H,wt=22): 12468 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(10025(a,2),12451(a,1))]. given #11382 (H,wt=22): 12480 L(K(x,y),z,u \ L(u,w,w \ 1)) = K(x,y) * a(x,z,1). [para(12056(a,1),12298(a,1,2,3)),flip(a)]. given #11383 (H,wt=20): 12600 L(K(x,y),z,u \ L(u,w,w \ 1)) != v5 | K(x,y) = v5. [para(12480(a,2),288(a,1))]. given #11384 (H,wt=22): 12540 a(x,y,K(z,u \ (z \ w))) != v5 | a(x,y,K(z,u \ w)) = v5. [para(9725(a,2),12435(a,1,3))]. given #11385 (H,wt=22): 12590 K(x,T((y \ z) * x,z)) != u | K(x,T((y \ z) * x,y)) = u. [para(10051(a,1),12510(a,1))]. given #11386 (H,wt=22): 12595 K(x,T(y \ 1,z) \ u) != w | K(x,T(1 / y,z) \ u) = w. [para(12442(a,1),12440(a,1))]. given #11387 (H,wt=22): 12596 T(x,T(y \ 1,z) * u) != w | T(x,T(1 / y,z) * u) = w. [para(12454(a,1),12453(a,1))]. given #11388 (H,wt=22): 12598 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(199,a,10983,a(flip),b,12282,a(flip)),flip(a)]. given #11389 (H,wt=23): 12407 (K(x,y) * L(K(x,z),u,w)) * y = T(L(K(x,z),u,w) * y,x). [para(6826(a,1),12399(a,1,1,1))]. given #11390 (H,wt=21): 12601 (K(x,y) * L(K(x,y),z,u)) * y = T(T(y,L(x,z,u)),x). [para(10459(a,1),12407(a,2,1))]. given #11391 (H,wt=21): 12602 (K(x,y) * L(K(x,y),z,u)) * y = T(T(y,x),L(x,z,u)). [hyper(199,a,38,a,b,12601,a)]. given #11392 (H,wt=17): 12603 T(T(x,y),L(y,z,u)) = a(x,z,K(y,u)) * x. [para(12476(a,1),12602(a,1,1)),flip(a)]. given #11393 (H,wt=23): 12483 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(199,a,9298,a,b,12363,a(flip)),flip(a)]. given #11394 (H,wt=17): 12604 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,12483,a)]. given #11395 (H,wt=19): 12606 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(9297(a,2),12604(a,1,2))]. given #11396 (H,wt=19): 12607 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(4862,a,12606,a)]. given #11397 (H,wt=23): 12513 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(10516,a,12470,a)]. given #11398 (H,wt=23): 12515 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(199,a,8116,a(flip),b,12475,a)]. given #11399 (H,wt=23): 12544 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,4569,a(flip),b,12345,a)]. given #11400 (H,wt=18): 12611 K(x \ (y * z),z) != u | K(x \ (z * y),z) = u. [para(12544(a,1),7353(a,1,1))]. given #11401 (H,wt=18): 12613 K((x \ y) \ z,x) != u | K(y \ (x * z),x) = u. [para(7966(a,2),12611(a,1))]. given #11402 (H,wt=19): 12612 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(9870(a,1),12544(a,1,2))]. given #11403 (H,wt=15): 12615 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),12612(a,1,2,1))]. given #11404 (H,wt=20): 12617 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(126(a,1),12615(a,1,1)),flip(a)]. given #11405 (H,wt=18): 12619 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(199,a,5948,a(flip),b,12617,a)]. given #11406 (H,wt=18): 12620 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(12619(a,1),60(a,1,2)),flip(a)]. given #11407 (H,wt=21): 12614 L(K(x * y,y),x,z) != u | K(z \ (y * (z * x)),y) = u. [para(9671(a,2),12611(a,1))]. given #11408 (H,wt=23): 12545 K(x,y) * a(y,z,K(x,u \ w)) = L(K(x,y),z,(x \ u) \ w). [para(12379(a,1),12280(a,1,2))]. given #11409 (H,wt=19): 12621 L(K(x,y),z,(x \ u) \ w) = L(K(x,y),z,u \ w). [hyper(12518,a,12545,a),flip(a)]. given #11410 (H,wt=23): 12547 K(x,y) * a(z * u,w,K(x,y)) = L(K(x,y),w,u \ (z \ 1)). [para(12381(a,1),12297(a,1,2))]. given #11411 (H,wt=22): 12622 L(K(x,y),z,u \ (w \ 1)) != v5 | L(K(x,y),z,w * u) = v5. [para(12547(a,1),12587(a,1))]. given #11412 (H,wt=23): 12574 L(K(x,y),a(z,u,u \ 1),z) = L(K(x,y),R(z,u,u \ 1),z). [para(601(a,1),12569(a,1,2))]. given #11413 (H,wt=15): 12623 L(K(x,y),a(z,u,u \ 1),z) = K(x,y). [hyper(199,a,12472,a(flip),b,12574,a)]. given #11414 (H,wt=23): 12599 K(x,(y * (z \ 1)) \ u) != w | L(K(x,z * (y \ u)),u,y) = w. [para(12448(a,1),12588(a,1))]. given #11415 (H,wt=23): 12609 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(4738(a,1),12513(a,1,2,2))]. given #11416 (H,wt=21): 12627 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(10619,a,12609,a)]. given #11417 (H,wt=19): 12628 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(8999(a,1),12627(a,1,1))]. given #11418 (H,wt=19): 12629 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(4738(a,1),12628(a,2,3,2))]. given #11419 (H,wt=24): 12369 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(12358(a,2),7306(a,1))]. given #11420 (H,wt=15): 12630 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(12369,a,12190,a)]. given #11421 (H,wt=15): 12631 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),12630(a,2,1))]. given #11422 (H,wt=17): 12632 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(199,a,9503,a(flip),b,12631,a(flip))]. given #11423 (H,wt=17): 12634 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(199,a,5177,a(flip),b,12632,a(flip)),flip(a)]. given #11424 (H,wt=15): 12635 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(199,a,10038,a(flip),b,12634,a(flip)),flip(a)]. given #11425 (H,wt=15): 12637 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(199,a,7700,a,b,12635,a(flip)),flip(a)]. given #11426 (H,wt=19): 12638 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),12635(a,1,1,2,1)),flip(a)]. given #11427 (H,wt=19): 12641 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(199,a,12136,a,b,12638,a)]. given #11428 (H,wt=21): 12642 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(12641(a,1),221(a,1,2))]. given #11429 (H,wt=23): 12643 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(199,a,12140,a,b,12642,a(flip)),flip(a)]. given #11430 (H,wt=24): 12424 T(x,y * (z * K(u,z \ 1))) != w | T(x,y / T(1 / z,u)) = w. [para(5317(a,1),12383(a,1,2,2))]. given #11431 (H,wt=22): 12644 T(x,y / T(z \ 1,u)) != w | T(x,y / T(1 / z,u)) = w. [para(12388(a,1),12424(a,1))]. given #11432 (H,wt=24): 12479 L(K(x,y),z,L(u \ 1,u,w)) = K(x,y) * a(x,z,K(y,u \ 1)). [para(6060(a,1),12298(a,1,2,3)),flip(a)]. given #11433 (H,wt=22): 12645 L(K(x,y),z,L(u \ 1,u,w)) = K(x,y) * a(x,z,K(y,u)). [para(10561(a,1),12479(a,2,2))]. given #11434 (H,wt=18): 12646 L(K(x,y),z,L(u \ 1,u,w)) = L(K(x,y),z,u). [hyper(199,a,12298,a(flip),b,12645,a)]. given #11435 (H,wt=17): 12647 L(K(x,y),z,(u * w) \ u) = L(K(x,y),z,w). [para(145(a,1),12646(a,1,3))]. given #11436 (H,wt=17): 12648 L(K(x,y),z,u \ w) = L(K(x,y),z,w \ u). [para(306(a,1),12646(a,1,3))]. given #11437 (H,wt=19): 12649 L(K(x,y),z,(u \ 1) \ w) = L(K(x,y),z,u * w). [hyper(12622,a,12648,a),flip(a)]. given #11438 (H,wt=22): 12650 L(K(x,y),z,(u \ 1) \ w) != v5 | L(K(x,y),z,u * w) = v5. [para(12648(a,1),12622(a,1))]. given #11439 (H,wt=24): 12575 L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),u * z,1 / u). [para(2804(a,1),12569(a,1,2)),flip(a)]. given #11440 (H,wt=24): 12651 L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),u * z,u \ 1). [hyper(199,a,3503,a(flip),b,12575,a)]. given #11441 (H,wt=22): 12652 L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),u * z,u). [hyper(199,a,12550,a(flip),b,12651,a)]. given #11442 (H,wt=20): 12653 L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),z,u). [hyper(199,a,12573,a(flip),b,12652,a)]. given #11443 (H,wt=25): 12377 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(12370(a,1),6786(a,1,2,1,2,2))]. given #11444 (H,wt=25): 12445 K(x,(y / z) \ u) * K(x,K(u,z / y)) = K(x,u * ((y / z) \ 1)). [para(12438(a,1),9974(a,1,1))]. given #11445 (H,wt=25): 12489 T(x,T(T(y \ z,z) \ u,w)) = w * (K(x,(z / y) \ u) * (w \ x)). [para(11584(a,1),12485(a,1,2,1)),flip(a)]. given #11446 (H,wt=24): 12655 T(x,T(T(y \ z,z) \ u,w)) != v5 | T(x,T((z / y) \ u,w)) = v5. [para(12489(a,2),12490(a,1))]. given #11447 (H,wt=25): 12511 T(x,T((y * K(z,y \ 1)) \ u,w)) = T(x,T(T(1 / y,z) * u,w)). [para(6954(a,1),12466(a,1,2,1,1)),flip(a)]. given #11448 (H,wt=25): 12567 K(x * (y \ 1),x \ ((y \ 1) \ z)) = K((x * (y \ 1)) \ z,x / y). [hyper(12368,a,12543,a),flip(a)]. given #11449 (H,wt=23): 12657 K((x * (y \ 1)) \ z,x / y) = K(x / y,x \ ((y \ 1) \ z)). [hyper(12359,a,12567,a),flip(a)]. given #11450 (H,wt=23): 12658 K(x / y,(x * (y \ 1)) \ z) = K(x / y,x \ ((y \ 1) \ z)). [hyper(4862,a,12657,a)]. given #11451 (H,wt=23): 12659 K(x / y,(x * (y \ 1)) \ z) = K(y \ x,((y \ 1) \ z) / x). [hyper(199,a,7238,a(flip),b,12658,a)]. given #11452 (H,wt=24): 12660 L(K(x / y,y * (x \ z)),z,x) = K(y \ x,((y \ 1) \ z) / x). [hyper(12599,a,12659,a)]. given #11453 (H,wt=24): 12661 L(K(x \ y,(y \ z) * x),z,y) = K(x \ y,((x \ 1) \ z) / y). [para(9934(a,1),12660(a,1,1))]. given #11454 (H,wt=25): 12576 L(K(x,y),K(z,z \ u) * w,u) = L(K(x,y),(z * (u / z)) * w,u). [para(9232(a,1),12569(a,1,2))]. given #11455 (H,wt=25): 12579 L(K(x,y),(z * (u / z)) * w,z * (u / z)) = L(K(x,y),w,T(u,z)). [hyper(199,a,11407,a(flip),b,12573,a)]. given #11456 (H,wt=23): 12662 L(K(x,y),(z * (u / z)) * w,T(u,z)) = L(K(x,y),w,T(u,z)). [hyper(199,a,11407,a(flip),b,12579,a(flip)),flip(a)]. given #11457 (H,wt=25): 12583 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(12564(a,2),2730(a,1,1))]. given #11458 (H,wt=19): 12663 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(10186,a,12583,a)]. given #11459 (H,wt=19): 12664 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(12663(a,2),14(a,1,2))]. given #11460 (H,wt=25): 12597 T(T(x,K(y,z)),z * T(y \ 1,u)) = T(x,y \ (z * K(u,y \ 1))). [hyper(199,a,11655,a(flip),b,12593,a(flip))]. given #11461 (H,wt=25): 12605 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(199,a,11984,a,b,12604,a(flip)),flip(a)]. given #11462 (H,wt=23): 12667 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(10581(a,1),12605(a,1,1))]. given #11463 (H,wt=25): 12624 K(x,(y \ z) \ a(y,u,u \ 1)) = K(x,z \ (y * a(y,u,u \ 1))). [hyper(6475,a,12623,a),flip(a)]. given #11464 (H,wt=23): 12669 K(x,(y \ z) \ a(y,u,u \ 1)) = K(x,z \ R(y,u,u \ 1)). [para(602(a,1),12624(a,2,2,2))]. given #11465 (H,wt=23): 12670 K(x,(y \ z) \ a(y,u,u \ 1)) = K(x,z \ L(y,u,u \ 1)). [hyper(199,a,11765,a(flip),b,12669,a)]. given #11466 (H,wt=25): 12626 x \ ((x * a(x,y,y \ 1)) * K(z,u)) = a(x,y,y \ 1) * K(z,u). [para(12623(a,1),386(a,1,2,2))]. given #11467 (H,wt=23): 12671 x \ (R(x,y,y \ 1) * K(z,u)) = a(x,y,y \ 1) * K(z,u). [para(602(a,1),12626(a,1,2,1))]. given #11468 (H,wt=23): 12672 R(x,y,y \ 1) * (x \ K(z,u)) = a(x,y,y \ 1) * K(z,u). [hyper(1497,a,12671,a)]. given #11469 (H,wt=25): 12654 L(K(x,y),T((1 / z) * u,w),1 / z) = L(K(x,y),T(z \ u,w),z). [para(2810(a,1),12653(a,1,2))]. given #11470 (H,wt=25): 12656 T(x,T(K(y,z \ 1) * (z \ u),w)) = T(x,T(T(1 / z,y) * u,w)). [para(11798(a,1),12511(a,1,2,1))]. given #11471 (H,wt=25): 12665 T(T(x,K(y,z)),z * T(y \ 1,u)) = T(x,(y \ z) * K(u,y \ 1)). [para(8689(a,1),12597(a,2,2))]. given #11472 (H,wt=25): 12668 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(12667(a,1),11988(a,1,2)),flip(a)]. given #11473 (H,wt=23): 12674 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(199,a,9371,a(flip),b,12668,a)]. given #11474 (H,wt=23): 12676 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5530(a,1),12674(a,1,2,1))]. given #11475 (H,wt=21): 12677 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(10581(a,1),12676(a,1,2))]. given #11476 (H,wt=21): 12678 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(12677(a,1),63(a,1,1))]. given #11477 (H,wt=26): 12427 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(7106(a,1),12393(a,2,1,2)),flip(a)]. given #11478 (H,wt=26): 12517 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(12475(a,2),8229(a,1))]. given #11479 (H,wt=26): 12680 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7732(a,1),12517(a,1,1,3))]. given #11480 (H,wt=27): 12512 T(x,T(((y * (z / y)) \ y) \ u,w)) = T(x,T(T(1 / (z \ y),y) * u,w)). [para(10033(a,1),12466(a,1,2,1,1)),flip(a)]. given #11481 (H,wt=27): 12530 (x \ 1) * R((x \ 1) \ K(y,z),u,w) = R(K(y,z) * x,u,w) * (x \ 1). [para(12525(a,1),539(a,1,1,1)),flip(a)]. given #11482 (H,wt=23): 12681 R(K(x,y) * z,u,w) * (z \ 1) = z \ R(z * K(x,y),u,w). [hyper(199,a,1268,a(flip),b,12530,a(flip))]. given #11483 (H,wt=27): 12535 T(K(x,y) / T(x \ z,u),x \ z) = ((T(x,y) \ z) \ 1) * K(u,x \ z). [para(12533(a,2),6964(a,2,1))]. given #11484 (H,wt=28): 12682 T(K(x,y) / T(x \ z,u),x \ z) != w | (T(x,y) \ z) \ K(u,x \ z) = w. [para(12535(a,2),12364(a,1))]. given #11485 (H,wt=29): 12673 R(K(x,y) * z,u,u \ 1) * (z \ 1) = a(K(x,y) * z,u,u \ 1) * K(x,y). [para(12529(a,1),12672(a,1,2))]. given #11486 (H,wt=27): 12683 x \ R(x * K(y,z),u,u \ 1) = a(K(y,z) * x,u,u \ 1) * K(y,z). [hyper(199,a,12681,a(flip),b,12673,a(flip)),flip(a)]. given #11487 (H,wt=30): 12610 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),12515(a,2,2,2)),flip(a)]. given #11488 (H,wt=28): 12684 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(12558(a,1),12610(a,2,1))]. given #11489 (H,wt=22): 12685 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(199,a,12515,a(flip),b,12684,a)]. given #11490 (H,wt=19): 12686 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(93(a,1),12685(a,1,2,2))]. given #11491 (H,wt=19): 12687 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(9995(a,2),12686(a,1,2,2))]. given #11492 (H,wt=31): 12287 a(x * (y * z),y,K(x,z)) * ((((x * y) * z) / (x * (y * z))) \ u) = a(x,y,z) \ u. [para(12276(a,2),5127(a,1,1))]. given #11493 (H,wt=29): 12688 a(x,y,K(z,y * x)) * ((((z * y) * x) / (z * (y * x))) \ u) = a(z,y,x) \ u. [para(12308(a,1),12287(a,1,1))]. given #11494 (H,wt=22): 12689 1 * ((((x * y) * z) / (x * (y * z))) \ u) = a(x,y,z) \ u. [para(12277(a,1),12688(a,1,1))]. given #11495 (H,wt=21): 12690 1 * (T(a(x,y,z),x * (y * z)) \ u) = a(x,y,z) \ u. [para(196(a,1),12689(a,1,2,1))]. given #11496 (H,wt=19): 12692 T(a(x,y,z),x * (y * z)) \ u = a(x,y,z) \ u. [hyper(71,a,12690,a)]. given #11497 (H,wt=16): 12694 a(x,y,z) \ ((x * y) * z) = x * (y * z). [hyper(1045,a,12692,a),flip(a)]. given #11498 (H,wt=16): 12695 a(x,y,z) * (x * (y * z)) = (x * y) * z. [para(12694(a,1),14(a,1,2))]. given #11499 (H,wt=28): 12696 K(x,K(a(y,z,u),y * (z * u))) != w | K(x,K(a(y,z,u),(y * z) * u)) = w. [para(12694(a,1),11548(a,1,2,2))]. given #11500 (H,wt=31): 12577 L(K(x,y),T(1 / (z \ u),u),(1 / (z \ u)) \ z) = L(K(x,y),z,(1 / (z \ u)) \ z). [para(9857(a,2),12569(a,1,2))]. given #11501 (H,wt=31): 12698 L(K(x,y),T(1 / (z \ u),u),((z \ u) \ 1) \ z) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(199,a,3762,a(flip),b,12577,a(flip)),flip(a)]. given #11502 (H,wt=31): 12699 L(K(x,y),T((z \ u) \ 1,u),((z \ u) \ 1) \ z) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(199,a,4495,a(flip),b,12698,a(flip)),flip(a)]. given #11503 (H,wt=29): 12700 L(K(x,y),T((z \ u) \ 1,u),(z \ u) * z) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(12650,a,12699,a)]. given #11504 (H,wt=27): 12701 L(K(x,y),T((z \ u) \ 1,u),T(u,z)) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(199,a,11406,a(flip),b,12700,a(flip)),flip(a)]. given #11505 (H,wt=32): 12580 L(K(x,(y * z) \ u),L(z,y,y \ 1),1 / y) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). [para(2804(a,1),12570(a,1,1,2,1))]. given #11506 (H,wt=25): 12702 L(K(x,(y * z) \ u),z,y) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). [hyper(199,a,12653,a(flip),b,12580,a(flip)),flip(a)]. given #11507 (H,wt=25): 12703 L(K(x,(y * z) \ u),z,y) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [hyper(199,a,5499,a(flip),b,12702,a)]. given #11508 (H,wt=33): 12373 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(12360(a,1),10182(a,1,1,1,2))]. given #11509 (H,wt=31): 12704 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(8067(a,1),12373(a,1,1,1,2))]. given #11510 (H,wt=27): 12705 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5525(a,1),12704(a,1,1,1)),flip(a)]. given #11511 (H,wt=27): 12706 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2716(a,2),12705(a,1,2,2,1))]. given #11512 (H,wt=23): 12707 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(63(a,1),12706(a,1,2,2))]. given #11513 (H,wt=19): 12709 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(12664(a,1),12707(a,1,2))]. given #11514 (H,wt=19): 12710 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(12709(a,2),60(a,1,2))]. given #11515 (H,wt=33): 12467 K(x,T(y \ ((z \ u) \ u),w) / w) = K(x,(y \ T(z,u)) * (1 / T(w,y \ ((z \ u) \ u)))). [hyper(12437,a,11698,a)]. given #11516 (H,wt=31): 12711 K(x,(y \ T(z,u)) * (1 / T(w,y \ ((z \ u) \ u)))) = K(x,w \ (y \ ((z \ u) \ u))). [hyper(11569,a,12467,a),flip(a)]. given #11517 (H,wt=29): 12712 K(x,(y \ T(z,u)) * (1 / T(w,y \ T(z,u)))) = K(x,w \ (y \ ((z \ u) \ u))). [para(11542(a,1),12711(a,1,2,2,2))]. given #11518 (H,wt=27): 12713 K(x,(y \ T(z,u)) / T(w,y \ T(z,u))) = K(x,w \ (y \ ((z \ u) \ u))). [hyper(12437,a,12712,a)]. given #11519 (H,wt=21): 12714 K(x,y \ (z \ ((u \ w) \ w))) = K(x,y \ (z \ T(u,w))). [hyper(11551,a,12713,a),flip(a)]. given #11520 (H,wt=21): 12716 K(x,y \ (z \ T(u,u \ w))) = K(x,y \ (z \ T(u,w))). [para(106(a,2),12714(a,1,2,2,2))]. given #11521 (H,wt=24): 12715 K(x,y \ (z \ ((u \ w) \ w))) != v5 | K(x,y \ (z \ T(u,w))) = v5. [para(12713(a,1),11551(a,1))]. given #11522 (H,wt=25): 12717 K(x,y \ (T(z,T(u,w)) \ T(u,w))) = K(x,y \ (((u \ w) \ w) / z)). [hyper(199,a,11780,a(flip),b,12716,a(flip))]. given #11523 (H,wt=21): 12718 K(x,y \ (((z \ u) \ u) / w)) = K(x,y \ (T(z,u) / w)). [hyper(199,a,11702,a(flip),b,12717,a(flip))]. given #11524 (H,wt=33): 12484 T(x,y * ((T(z,z \ 1) \ u) \ K(T(z,z \ 1) \ u,z))) = T(x,y / (u / ((z \ 1) \ 1))). [para(2909(a,1),12386(a,2,2,2))]. given #11525 (H,wt=33): 12534 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(6750(a,1),12522(a,2,2))]. given #11526 (H,wt=33): 12719 T(x,y * ((T(z,z \ 1) \ u) \ K(z,T(z,z \ 1) \ u))) = T(x,y / (u / ((z \ 1) \ 1))). [para(4738(a,1),12484(a,1,2,2,2))]. given #11527 (H,wt=29): 12721 T(x,y * ((T(z,z \ 1) \ u) \ K(z,z \ u))) = T(x,y / (u / ((z \ 1) \ 1))). [para(5223(a,1),12719(a,1,2,2,2))]. given #11528 (H,wt=35): 12482 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(12330(a,1),6109(a,2,1))]. given #11529 (H,wt=31): 12723 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(2897(a,1),12482(a,1,2))]. given #11530 (H,wt=25): 12725 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(3031(a,1),12723(a,1,2)),flip(a)]. given #11531 (H,wt=21): 12726 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(199,a,10381,a(flip),b,12725,a)]. given #11532 (H,wt=35): 12640 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(12637(a,1),12098(a,1,1,1,2))]. given #11533 (H,wt=33): 12729 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(221(a,1),12640(a,1,1,1))]. given #11534 (H,wt=33): 12731 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8074(a,1),12729(a,1,1))]. given #11535 (H,wt=31): 12732 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(104(a,1),12731(a,1,2,2,2))]. given #11536 (H,wt=31): 12733 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(8728(a,1),12732(a,1,2))]. given #11537 (H,wt=29): 12734 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(2906(a,1),12733(a,1,2))]. given #11538 (H,wt=21): 12735 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(199,a,9987,a(flip),b,12734,a(flip)),flip(a)]. given #11539 (H,wt=19): 12736 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(199,a,8809,a(flip),b,12735,a(flip)),flip(a)]. given #11540 (H,wt=15): 12737 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(132(a,1),12736(a,1,2)),flip(a)]. given #11541 (H,wt=16): 12738 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(199,a,11741,a,b,12737,a(flip)),flip(a)]. given #11542 (H,wt=15): 12741 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(199,a,10166,a(flip),b,12738,a(flip)),flip(a)]. given #11543 (H,wt=19): 12743 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(199,a,9587,a(flip),b,12741,a(flip))]. given #11544 (H,wt=21): 12744 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(12743(a,1),4851(a,1,2))]. given #11545 (H,wt=23): 12745 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(199,a,11674,a,b,12744,a(flip)),flip(a)]. given #11546 (H,wt=37): 12720 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6432(a,1),12534(a,1,1))]. given #11547 (H,wt=23): 12746 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(11875(a,1),12720(a,1,2))]. given #11548 (H,wt=19): 12747 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(199,a,5786,a(flip),b,12746,a(flip)),flip(a)]. given #11549 (H,wt=19): 12748 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(199,a,6745,a(flip),b,12747,a)]. given #11550 (H,wt=19): 12749 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(199,a,11128,a(flip),b,12748,a(flip))]. given #11551 (H,wt=19): 12750 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(12748(a,1),63(a,1,1))]. given #11552 (H,wt=25): 12751 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12750(a,1),4429(a,1,2,1))]. given #11553 (H,wt=25): 12752 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(199,a,6745,a(flip),b,12751,a)]. given #11554 (H,wt=25): 12753 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12749(a,1),12752(a,1,1))]. given #11555 (H,wt=25): 12754 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(199,a,11129,a,b,12753,a(flip)),flip(a)]. given #11556 (H,wt=23): 12755 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6091(a,1),12754(a,1,1))]. given #11557 (H,wt=21): 12756 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(5467,a,12755,a),flip(a)]. given #11558 (H,wt=19): 12757 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(199,a,8765,a(flip),b,12756,a(flip)),flip(a)]. given #11559 (H,wt=19): 12758 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12757(a,1),63(a,1,1))]. given #11560 (H,wt=19): 12759 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12758(a,1),2216(a,1,1))]. given #11561 (H,wt=27): 12760 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12759(a,1),6410(a,1,2,1))]. given #11562 (H,wt=27): 12761 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(8215,a,12760,a),flip(a)]. given #11563 (H,wt=25): 12762 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(199,a,12509,a(flip),b,12761,a)]. given #11564 (H,wt=23): 12763 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(51(a,1),12762(a,1,2)),flip(a)]. given #11565 (H,wt=23): 12764 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(199,a,5255,a(flip),b,12763,a)]. given #11566 (H,wt=19): 12765 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(10105,a,12764,a(flip)),flip(a)]. given #11567 (H,wt=19): 12766 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(199,a,8214,a(flip),b,12765,a)]. given #11568 (H,wt=19): 12767 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),12766(a,1,2,1,1,1)),flip(a)]. given #11569 (H,wt=17): 12768 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(8868,a,12767,a),flip(a)]. given #11570 (H,wt=17): 12769 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(12590,a,12768,a)]. given #11571 (H,wt=17): 12770 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(9965,a,12768,a)]. given #11572 (H,wt=17): 12771 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),12769(a,1,2,1,1)),flip(a)]. given #11573 (H,wt=19): 12772 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(199,a,11819,a(flip),b,12770,a(flip))]. given #11574 (H,wt=27): 12773 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(199,a,8421,a,b,12771,a(flip)),flip(a)]. given #11575 (H,wt=23): 12775 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(199,a,8422,a(flip),b,12773,a(flip))]. given #11576 (H,wt=23): 12776 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7382,a,12775,a)]. given #11577 (H,wt=21): 12778 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(199,a,9485,a(flip),b,12776,a(flip))]. given #11578 (H,wt=23): 12780 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(105(a,1),12778(a,1,2,1,1,2))]. given #11579 (H,wt=26): 12781 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(199,a,8218,a(flip),b,12780,a(flip))]. given #11580 (H,wt=24): 12782 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(8415,a,12781,a)]. given #11581 (H,wt=24): 12783 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(199,a,5336,a(flip),b,12782,a)]. given #11582 (H,wt=20): 12784 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(63(a,1),12783(a,2,2,1,1))]. given #11583 (H,wt=18): 12785 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(199,a,10739,a(flip),b,12784,a),flip(a)]. given #11584 (H,wt=26): 12787 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(12785(a,2),5835(a,1,1))]. given #11585 (H,wt=24): 12788 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(199,a,5837,a(flip),b,12787,a(flip)),flip(a)]. given #11586 (H,wt=27): 12774 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(12772(a,1),5835(a,1,1))]. given #11587 (H,wt=25): 12789 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(199,a,5835,a(flip),b,12774,a(flip))]. given #11588 (H,wt=25): 12790 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(199,a,11432,a(flip),b,12789,a(flip))]. given #11589 (H,wt=21): 12791 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(60(a,1),12790(a,2,2,2))]. given #11590 (H,wt=20): 12792 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(199,a,12788,a,b,12791,a(flip)),flip(a)]. given #11591 (H,wt=20): 12794 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(11347(a,1),12792(a,1,1))]. given #11592 (H,wt=20): 12795 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(11346,a,12794,a)]. given #11593 (H,wt=20): 12796 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(199,a,11347,a(flip),b,12795,a)]. given #11594 (H,wt=19): 12797 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(199,a,11357,a(flip),b,12796,a(flip))]. given #11595 (H,wt=17): 12799 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(199,a,11436,a(flip),b,12797,a(flip))]. given #11596 (H,wt=19): 12800 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(12799(a,2),4660(a,2,1)),flip(a)]. given #11597 (H,wt=17): 12801 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4661,a,12800,a)]. given #11598 (H,wt=23): 12802 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(199,a,11851,a,b,12801,a),flip(a)]. given #11599 (H,wt=18): 12803 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(199,a,7566,a(flip),b,12802,a(flip)),flip(a)]. given #11600 (H,wt=21): 12804 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(199,a,11358,a,b,12803,a(flip)),flip(a)]. given #11601 (H,wt=21): 12807 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(12275(a,1),12804(a,1,2))]. given #11602 (H,wt=38): 12481 x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). [para(12300(a,1),5426(a,1,2,2,2,1))]. given #11603 (H,wt=39): 12549 x \ (T(x * (y \ 1),z) * R(T(x * (y \ 1),z) \ x,u,u \ 1)) = a((y \ K(z,x / y)) \ 1,u,u \ 1). [para(12548(a,1),3595(a,2,1,1))]. given #11604 (H,wt=39): 12808 x \ T((x * (y \ 1)) * R((x * (y \ 1)) \ T(x,z),u,u \ 1),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). [para(10226(a,2),12549(a,1,2))]. given #11605 (H,wt=39): 12809 x \ T(x * ((y \ 1) * R((y \ 1) \ (x \ T(x,z)),u,u \ 1)),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). [para(887(a,1),12808(a,1,2,1))]. given #11606 (H,wt=37): 12810 x \ T(x * ((y \ 1) * R((y \ 1) \ K(x,z),u,u \ 1)),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). [para(4599(a,2),12809(a,1,2,1,2,2,1,2))]. given #11607 (H,wt=33): 12811 x \ T(x * (y \ R(y * K(x,z),u,u \ 1)),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). [para(1268(a,1),12810(a,1,2,1,2))]. given #11608 (H,wt=40): 12608 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(12607(a,1),2888(a,1,1,2))]. given #11609 (H,wt=38): 12812 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(12(a,1),12608(a,1,1)),flip(a)]. given #11610 (H,wt=36): 12813 ((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(9289(a,1),12812(a,2,3))]. given #11611 (H,wt=34): 12814 (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(9289(a,1),12813(a,1,1))]. given #11612 (H,wt=34): 12815 (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(9290(a,1),12814(a,1,2))]. given #11613 (H,wt=34): 12816 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(199,a,10362,a(flip),b,12815,a(flip)),flip(a)]. given #11614 (H,wt=26): 12817 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5014(a,1),12816(a,1,2)),flip(a)]. given #11615 (H,wt=18): 12818 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(199,a,5014,a(flip),b,12817,a)]. given #11616 (H,wt=42): 12806 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3294(a,2),12803(a,2,2,1))]. given #11617 (H,wt=42): 12821 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(10707(a,1),12806(a,1,1))]. given #11618 (H,wt=38): 12822 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(63(a,1),12821(a,1,1,2,1,2,1))]. given #11619 (H,wt=36): 12823 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(10208(a,1),12822(a,1,1))]. given #11620 (H,wt=36): 12824 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(199,a,6465,a(flip),b,12823,a(flip)),flip(a)]. given #11621 (H,wt=32): 12826 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(63(a,1),12824(a,1,2,2,1)),flip(a)]. given #11622 (H,wt=30): 12827 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(199,a,8973,a(flip),b,12826,a)]. given #11623 (H,wt=27): 12829 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(199,a,12803,a(flip),b,12827,a)]. given #11624 (H,wt=23): 12830 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),12829(a,2,2,1))]. given #11625 (H,wt=23): 12831 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3294(a,1),12830(a,1,2,1))]. given #11626 (H,wt=46): 12728 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(12726(a,1),12205(a,2,2))]. given #11627 (H,wt=46): 12832 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(199,a,5008,a(flip),b,12728,a)]. given #11628 (H,wt=44): 12833 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(199,a,4540,a(flip),b,12832,a)]. given #11629 (H,wt=34): 12834 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(4247(a,1),12833(a,1,2,2,2))]. given #11630 (H,wt=34): 12836 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(5008(a,1),12834(a,1,2,2))]. given #11631 (H,wt=32): 12837 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(6784(a,1),12836(a,1,2,2)),flip(a)]. given #11632 (H,wt=26): 12838 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(199,a,9917,a(flip),b,12837,a)]. given #11633 (H,wt=24): 12839 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(128(a,1),12838(a,2,2))]. given #11634 (H,wt=52): 12679 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12678(a,1),3236(a,1,1,1))]. given #11635 (H,wt=50): 12840 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(9371(a,1),12679(a,1,1))]. given #11636 (H,wt=48): 12841 (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(12678(a,1),12840(a,1,2,2))]. given #11637 (H,wt=46): 12842 (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(8012(a,1),12841(a,1,2))]. given #11638 (H,wt=44): 12843 (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(5882(a,1),12842(a,1,2))]. given #11639 (H,wt=29): 12844 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12818(a,1),12843(a,1,2)),flip(a)]. given #11640 (H,wt=27): 12845 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12678(a,1),12844(a,1,1,1,1))]. given #11641 (H,wt=25): 12846 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(9371(a,1),12845(a,1,1,1))]. given #11642 (H,wt=23): 12847 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(12678(a,1),12846(a,1,1)),flip(a)]. given #11643 (H,wt=40): 12848 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(12847(a,1),8419(a,1,1))]. given #11644 (H,wt=38): 12849 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(8105(a,1),12848(a,1,2))]. given #11645 (H,wt=38): 12850 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(199,a,9042,a(flip),b,12849,a(flip)),flip(a)]. given #11646 (H,wt=36): 12851 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(4631(a,1),12850(a,1,2))]. given #11647 (H,wt=25): 12852 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(199,a,10370,a(flip),b,12851,a(flip))]. given #11648 (H,wt=55): 12854 (((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(12852(a,1),12109(a,1,1))]. given #11649 (H,wt=47): 12855 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(5297(a,1),12854(a,1,1,1)),flip(a)]. given #11650 (H,wt=43): 12856 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(5212(a,1),12855(a,2,2))]. given #11651 (H,wt=43): 12857 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(5745(a,1),12856(a,2,2))]. given #11652 (H,wt=41): 12858 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(8202(a,1),12857(a,2,2))]. given #11653 (H,wt=37): 12859 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(13(a,1),12858(a,2,2,1))]. given #11654 (H,wt=35): 12860 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(199,a,5948,a(flip),b,12859,a)]. given #11655 (H,wt=33): 12862 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(199,a,8416,a(flip),b,12860,a)]. given #11656 (H,wt=33): 12863 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5530(a,1),12862(a,1,1,1))]. given #11657 (H,wt=31): 12864 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(12852(a,1),12863(a,1,1))]. given #11658 (H,wt=23): 12865 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5297(a,1),12864(a,1,1,1))]. given #11659 (H,wt=19): 12866 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(199,a,4272,a(flip),b,12865,a(flip)),flip(a)]. given #11660 (H,wt=19): 12867 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4041(a,1),12866(a,2,1))]. given #11661 (H,wt=29): 12868 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(11931(a,1),12867(a,2,2))]. given #11662 (H,wt=25): 12869 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(11931(a,1),12868(a,1,1,1))]. given #11663 (H,wt=21): 12870 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(199,a,12807,a(flip),b,12869,a)]. given #11664 (H,wt=21): 12871 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(9498(a,1),12870(a,1,1))]. given #11665 (H,wt=21): 12872 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(12302(a,2),12871(a,1,1))]. given #11666 (H,wt=21): 12873 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(4068,a,12872,a)]. given #11667 (H,wt=17): 12874 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(199,a,12201,a(flip),b,12873,a(flip))]. given #11668 (H,wt=23): 12875 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(199,a,12831,a(flip),b,12874,a(flip))]. given #11669 (H,wt=21): 12876 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9024(a,1),12875(a,1,2,1))]. given #11670 (H,wt=21): 12877 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(199,a,12203,a(flip),b,12876,a(flip)),flip(a)]. given #11671 (H,wt=17): 12878 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4598(a,2),12877(a,1,2,1,2))]. given #11672 (H,wt=13): 12879 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(9960(a,1),12878(a,1,2,1)),flip(a)]. given #11673 (H,wt=15): 12880 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(68,a,12879,a(flip),b,4652,a(flip))]. given #11674 (H,wt=13): 12882 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(4709,a,12880,a),flip(a)]. given #11675 (H,wt=13): 12883 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(199,a,10435,a,b,12882,a),flip(a)]. given #11676 (H,wt=13): 12888 L(K(x,y),z,u) = K(R(x,z,u),y). [hyper(199,a,11347,a,b,12883,a)]. given #11677 (H,wt=13): 12889 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(199,a,11345,a,b,12883,a),flip(a)]. given #11678 (H,wt=13): 12897 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(10461,a,12888,a),flip(a)]. given #11679 (H,wt=17): 12902 L(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(199,a,5703,a(flip),b,12889,a(flip))]. given #11680 (H,wt=17): 12909 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(199,a,5570,a(flip),b,12902,a(flip))]. given #11681 (H,wt=18): 12881 R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). [para(12879(a,1),105(a,1,2))]. given #11682 (H,wt=18): 12885 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(441(a,1),12882(a,1,2)),flip(a)]. given #11683 (H,wt=18): 12890 L(K(x,y / z),z,u) = K(x,(y * u) / (z * u)). [para(102(a,1),12883(a,2,2))]. given #11684 (H,wt=18): 12891 L(K(x,(y / z) / u),u,z) = K(x,y / (u * z)). [para(441(a,1),12883(a,2,2))]. given #11685 (H,wt=18): 12900 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(199,a,5844,a(flip),b,12889,a(flip))]. given #11686 (H,wt=18): 12901 L(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [hyper(199,a,5715,a(flip),b,12889,a(flip))]. given #11687 (H,wt=18): 12903 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(12889(a,1),101(a,1,1))]. given #11688 (H,wt=18): 12904 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(12889(a,1),126(a,1,1))]. given #11689 (H,wt=18): 12907 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(102(a,1),12897(a,1,1)),flip(a)]. given #11690 (H,wt=18): 12914 L(K(x,(y / z) / u),u,z) = K(y / (u * z),x). [hyper(199,a,4738,a,b,12891,a)]. given #11691 (H,wt=18): 12918 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(10435(a,1),12903(a,1,1))]. given #11692 (H,wt=20): 12886 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(550(a,1),12882(a,1,2)),flip(a)]. given #11693 (H,wt=20): 12892 L(K(x,y / (z / u)),z / u,u) = K(x,(y * u) / z). [para(446(a,1),12883(a,2,2))]. given #11694 (H,wt=18): 12926 L(K(x,y / (z / u)),z,u) = K(x,(y * u) / z). [hyper(12589,a,12892,a)]. given #11695 (H,wt=20): 12899 ((x * (y / x)) * z) / (y * z) = L(K(x,x \ y),y,z). [hyper(199,a,4995,a,b,12889,a(flip)),flip(a)]. given #11696 (H,wt=17): 12927 ((x * (y / x)) * z) / (y * z) = K(x,x \ y). [hyper(199,a,9734,a(flip),b,12899,a)]. given #11697 (H,wt=17): 12929 K(x,x \ y) * (y * z) = (x * (y / x)) * z. [para(12927(a,1),16(a,1,1))]. given #11698 (H,wt=17): 12930 (x * (y / x)) * (y \ z) = K(x,x \ y) * z. [para(12927(a,1),219(a,1,1)),flip(a)]. given #11699 (H,wt=19): 12932 ((x \ y) \ y) \ ((x * (y / x)) * z) = x \ (y * z). [hyper(68,a,12929,a(flip),b,4949,a)]. given #11700 (H,wt=19): 12933 T(x \ y,(x * (y / x)) * z) = T(x \ y,y * z). [para(12929(a,1),6836(a,1,2))]. given #11701 (H,wt=19): 12934 (x * (y / x)) \ (x * z) = y \ (T(x,x \ y) * z). [hyper(68,a,4976,a(flip),b,12930,a)]. given #11702 (H,wt=21): 12919 (K(x,y * z) * y) * z != u | T(y * z,L(x,y,z)) = u. [para(12903(a,1),10460(a,1))]. given #11703 (H,wt=14): 12936 T(x * y,L(z,x,y)) = T(x * y,z). [hyper(12919,a,12399,a)]. given #11704 (H,wt=19): 12937 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [para(12936(a,1),12881(a,1,2))]. given #11705 (H,wt=21): 12920 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(7621,a,12907,a)]. given #11706 (H,wt=21): 12922 L(K(x,(y / z) / u),u,z) != w | K(x,y / (u * z)) = w. [para(12914(a,2),4862(a,1))]. given #11707 (H,wt=21): 12923 (K(x,y) * z) * u != w * (z * u) | K(x,L(y,z,u)) = w. [para(12918(a,1),20(a,1))]. given #11708 (H,wt=21): 12924 K(x,T(y / (z * u),z)) = K(x,(u * z) \ (u * (y / u))). [para(94(a,1),12886(a,1,2)),flip(a)]. given #11709 (H,wt=19): 12940 K(x,T(y / (z * u),z)) = K(x,(u * z) \ T(y,u)). [hyper(199,a,11622,a(flip),b,12924,a)]. given #11710 (H,wt=21): 12925 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(416(a,1),12886(a,1,2)),flip(a)]. given #11711 (H,wt=21): 12935 K(x,y \ (T(z,z \ y) * u)) = K(x,T(y,z) \ (z * u)). [para(12934(a,1),11601(a,1,2))]. given #11712 (H,wt=22): 12893 L(K(x,T(y / z,z * u)),z,u) = K(x,(z * u) \ (y * u)). [para(795(a,1),12883(a,2,2))]. given #11713 (H,wt=22): 12894 L(K(x,T(y / z,u)),z,z \ u) = K(x,u \ (y * (z \ u))). [para(823(a,1),12883(a,2,2))]. given #11714 (H,wt=20): 12943 L(K(x,y / z),z,z \ x) = K(x,x \ (y * (z \ x))). [para(4827(a,1),12894(a,1,1))]. given #11715 (H,wt=22): 12913 L(K(x,y / (z \ u)),z \ u,z) = K(x,(y * z) / T(u,z)). [hyper(199,a,11693,a(flip),b,12890,a)]. given #11716 (H,wt=19): 12945 K(x,T(y \ (z * u),u)) = K(x,(u * z) / T(y,z)). [hyper(199,a,10507,a(flip),b,12913,a(flip)),flip(a)]. given #11717 (H,wt=22): 12916 L(K(x,y),z,(y \ z) \ u) = K(x,(z * ((y \ z) \ u)) / u). [para(123(a,1),12901(a,1,1,2))]. given #11718 (H,wt=22): 12942 L(K(x,(y / z) \ u),z \ y,z) = K(x,T(y,z) \ (z * u)). [hyper(10475,a,12935,a)]. given #11719 (H,wt=20): 12947 L(K(x,(y / z) \ u),y,z) = K(x,T(y,z) \ (z * u)). [hyper(12588,a,12942,a)]. given #11720 (H,wt=22): 12944 K(x,L(K(y,z / u),u,u \ y)) = K(x,K(y,z * (u \ y))). [para(12943(a,2),7815(a,1,2))]. given #11721 (H,wt=22): 12946 L(K(x,y),z,(x \ z) \ u) = K(y,(z * ((x \ z) \ u)) / u). [hyper(10477,a,12916,a)]. given #11722 (H,wt=22): 12948 L(K(x,K(y,z / u)),u,u \ y) = K(x,K(y,z * (u \ y))). [hyper(10436,a,12944,a)]. given #11723 (H,wt=23): 12939 L(K(x,T(y,z) / u),u,z) != w | K(x,(z * y) / (u * z)) = w. [para(185(a,2),12922(a,1,1,2,1))]. given #11724 (H,wt=23): 12941 K(x,T(y / (z * u),T(u,z))) = K(x,(z * T(u,z)) \ T(y,z)). [para(166(a,1),12940(a,1,2,1,2))]. given #11725 (H,wt=21): 12951 K(x,T(y / (z * u),T(u,z))) = K(x,(u * z) \ T(y,z)). [para(105(a,1),12941(a,2,2,1))]. given #11726 (H,wt=24): 12895 L(K(x,T(T(y,z),z * u)),z,u) = K(x,(z * u) \ ((z * y) * u)). [para(813(a,1),12883(a,2,2))]. given #11727 (H,wt=24): 12905 L(L(K(x,y),z,u),w,v5) * (z * u) = (L(K(x,y),w,v5) * z) * u. [para(12889(a,1),432(a,1,1,1))]. given #11728 (H,wt=24): 12906 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(12889(a,1),12619(a,1,1))]. given #11729 (H,wt=24): 12912 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(12885(a,1),8277(a,2,2))]. given #11730 (H,wt=24): 12921 K(((x \ y) * x) / (z * x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(12907(a,1),7621(a,1))]. given #11731 (H,wt=24): 12931 K(x,x \ y) * (y * z) != u * w | u \ ((x * (y / x)) * z) = w. [para(12927(a,1),327(a,1,1))]. given #11732 (H,wt=24): 12954 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(5776,a,12906,a)]. given #11733 (H,wt=25): 12950 L(K(x,(y * z) / u),u,z) != w | K(x,(z * (z * y)) / (u * z)) = w. [para(11560(a,1),12939(a,1,1))]. given #11734 (H,wt=26): 12910 L(K(x,T(y / z,u) \ 1),z,z \ u) = K(x,(u \ (y * (z \ u))) \ 1). [para(823(a,1),12902(a,2,2,1))]. given #11735 (H,wt=24): 12957 L(K(x,T(y / z,u) \ 1),z,z \ u) = K(x,(y * (z \ u)) \ u). [hyper(199,a,6005,a(flip),b,12910,a)]. given #11736 (H,wt=24): 12958 L(K(x,T((y / z) \ 1,u)),z,z \ u) = K(x,(y * (z \ u)) \ u). [para(7092(a,1),12957(a,1,1))]. given #11737 (H,wt=22): 12959 L(K(x,T(y / z,u)),y,y \ u) = K(x,(z * (y \ u)) \ u). [para(9048(a,1),12958(a,1,1))]. given #11738 (H,wt=26): 12938 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(12937(a,1),10027(a,1,2))]. given #11739 (H,wt=19): 12960 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(199,a,24,a,b,12938,a),flip(a)]. given #11740 (H,wt=16): 12961 a(x,y,z) = L(x \ R(x,y,z),x,y * z). [hyper(199,a,94,a,b,12960,a)]. given #11741 (H,wt=19): 12962 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(12960(a,2),14(a,1,2))]. given #11742 (H,wt=26): 12952 K(x,(y * z) \ ((y * (y / u)) * z)) = L(K(x,T(u \ y,y * z)),y,z). [para(7644(a,1),12895(a,1,1)),flip(a)]. given #11743 (H,wt=26): 12955 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(12367(a,1),12912(a,1,2))]. given #11744 (H,wt=26): 12963 L(x \ R(x,K(y,T(z,u)),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). [para(7106(a,1),12961(a,2,3)),flip(a)]. given #11745 (H,wt=27): 12949 L(K(x,T(y,z)),u,(x \ u) \ z) != w | K(y,z \ (u * ((x \ u) \ z))) = w. [para(12946(a,2),7419(a,1))]. given #11746 (H,wt=22): 12966 K(x,y \ (z * ((u \ z) \ y))) = L(K(u,T(x,y)),z,z \ y). [hyper(12949,a,12621,a)]. given #11747 (H,wt=22): 12967 K(x,y \ (z * ((u \ z) \ y))) = L(K(x,T(u,y)),z,z \ y). [para(7134(a,1),12966(a,2,1))]. given #11748 (H,wt=22): 12968 L(K(x,T(y / z,u)),y,y \ u) = K(x,u \ (y * (z \ u))). [para(63(a,1),12967(a,1,2,2,2,1)),flip(a)]. given #11749 (H,wt=19): 12969 K(x,(y * (z \ u)) \ u) = K(x,u \ (z * (y \ u))). [hyper(199,a,12959,a(flip),b,12968,a(flip)),flip(a)]. given #11750 (H,wt=27): 12953 (L(K(x,y),z,u) * w) * v5 != v6 * (w * v5) | L(L(K(x,y),w,v5),z,u) = v6. [para(12905(a,1),20(a,1))]. given #11751 (H,wt=28): 12911 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(662(a,1),12909(a,1,2,1)),flip(a)]. given #11752 (H,wt=28): 12971 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(199,a,7092,a(flip),b,12911,a)]. given #11753 (H,wt=26): 12972 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(199,a,9048,a(flip),b,12971,a)]. given #11754 (H,wt=23): 12973 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6163,a,12972,a),flip(a)]. given #11755 (H,wt=29): 12908 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(12897(a,1),7607(a,1))]. given #11756 (H,wt=30): 12887 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(12882(a,1),9039(a,1,2))]. given #11757 (H,wt=31): 12915 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(199,a,7112,a(flip),b,12900,a(flip)),flip(a)]. given #11758 (H,wt=31): 12956 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(199,a,10520,a,b,12954,a(flip)),flip(a)]. given #11759 (H,wt=24): 12976 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(10808(a,1),12956(a,1,1))]. given #11760 (H,wt=24): 12977 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(4738(a,1),12976(a,1,1,2,2))]. given #11761 (H,wt=25): 12978 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(12108,a,12977,a)]. given #11762 (H,wt=29): 12979 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(7787(a,2),12978(a,1,2,2))]. given #11763 (H,wt=29): 12980 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(8355(a,2),12979(a,1,2))]. given #11764 (H,wt=31): 12974 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(199,a,11590,a(flip),b,12973,a)]. given #11765 (H,wt=27): 12982 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),12974(a,1,2,1,2))]. given #11766 (H,wt=23): 12983 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(11804,a,12982,a),flip(a)]. given #11767 (H,wt=33): 12965 ((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(7105(a,1),12962(a,1,1,1))]. given #11768 (H,wt=33): 12981 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(7774(a,2),12980(a,1,2,2,2))]. given #11769 (H,wt=35): 12984 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(3954(a,1),12983(a,1,2,2,1))]. given #11770 (H,wt=33): 12986 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(8084(a,1),12984(a,1,2,1))]. given #11771 (H,wt=29): 12987 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(3954(a,1),12986(a,1,2,2,2,2))]. given #11772 (H,wt=27): 12989 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(199,a,11668,a(flip),b,12987,a(flip)),flip(a)]. given #11773 (H,wt=25): 12990 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(11505(a,1),12989(a,2,2))]. given #11774 (H,wt=21): 12991 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(199,a,11622,a(flip),b,12990,a(flip)),flip(a)]. given #11775 (H,wt=36): 12917 L(K(x,(L(K(y,z),u,w) \ v5) \ (u * w)),u * w,L(K(y,z),u,w)) = K(x,v5 \ ((K(y,z) * u) * w)). [para(12903(a,1),6397(a,2,2,2))]. given #11776 (H,wt=36): 12992 L(K(x,(L(K(y,z),u,w) * v5) \ (u * w)),u * w,L(K(y,z),u,w)) = K(x,v5 \ ((K(y,z) * u) * w)). [para(5774(a,1),12917(a,1,1,2,1))]. given #11777 (H,wt=41): 12970 K(x,L(y,z,z \ 1) \ (u * T(y \ L(y,z,z \ 1),w))) = K(x,(y * (u \ L(y,z,z \ 1))) \ L(y,z,z \ 1)). [para(12064(a,2),12969(a,2,2,2,2)),flip(a)]. given #11778 (H,wt=41): 12975 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(5626(a,1),12973(a,2,2,1))]. given #11779 (H,wt=33): 12994 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(16(a,1),12975(a,1,2,1,2))]. given #11780 (H,wt=31): 12995 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(199,a,11748,a(flip),b,12994,a(flip))]. given #11781 (H,wt=29): 12996 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(199,a,11777,a(flip),b,12995,a(flip)),flip(a)]. given #11782 (H,wt=27): 12997 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(199,a,11683,a(flip),b,12996,a(flip)),flip(a)]. given #11783 (H,wt=25): 12998 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4652(a,2),12997(a,1,2,1))]. given #11784 (H,wt=31): 12999 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(3926(a,1),12998(a,1,2,1))]. given #11785 (H,wt=29): 13000 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(105(a,1),12999(a,1,2,2,1))]. given #11786 (H,wt=27): 13001 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(105(a,1),13000(a,1,2,2,2,2))]. given #11787 (H,wt=23): 13002 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(47(a,1),13001(a,2,2,2))]. given #11788 (H,wt=19): 13003 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(199,a,11622,a(flip),b,13002,a(flip)),flip(a)]. given #11789 (H,wt=37): 13005 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(9758(a,1),13003(a,1,2,2,2))]. given #11790 (H,wt=35): 13006 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(199,a,11606,a(flip),b,13005,a(flip)),flip(a)]. given #11791 (H,wt=41): 12985 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(7314(a,2),12981(a,1,2,2))]. given #11792 (H,wt=21): 13007 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(5515(a,2),12985(a,1,2))]. given #11793 (H,wt=21): 13008 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(4738(a,1),13007(a,1,2,1,2,2))]. given #11794 (H,wt=21): 13009 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(4738(a,1),13007(a,2,2,1))]. given #11795 (H,wt=15): 13013 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(199,a,13007,a(flip),b,13009,a(flip))]. given #11796 (H,wt=17): 13016 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(4961(a,1),13013(a,1,2)),flip(a)]. given #11797 (H,wt=21): 13014 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [para(13009(a,1),14(a,1,2)),flip(a)]. given #11798 (H,wt=24): 13017 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(z,u) * x) = w. [para(13014(a,2),254(a,1,2)),flip(b)]. given #11799 (H,wt=18): 13018 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(13007(a,1),13017(a,1))]. given #11800 (H,wt=24): 13019 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(13009(a,2),13018(a,1))]. given #11801 (H,wt=25): 13010 x \ T(y * T(x,K(z,u)),K(u,z * u)) = T(y,K(z * u,u) * x). [para(7811(a,1),13007(a,1,2,1,2))]. given #11802 (H,wt=23): 13020 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,u) * x). [para(7811(a,1),13010(a,1,2))]. given #11803 (H,wt=17): 13021 T(x,K(y * z,z) * u) = T(x,K(y,z) * u). [hyper(13017,a,13020,a),flip(a)]. given #11804 (H,wt=17): 13022 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(5337(a,1),13021(a,1,2,1))]. given #11805 (H,wt=17): 13023 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(13018,a,13022,a)]. given #11806 (H,wt=23): 13024 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(9969,a,13023,a),flip(a)]. given #11807 (H,wt=17): 13025 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(9967,a,13024,a),flip(a)]. given #11808 (H,wt=25): 13011 x \ T(y * T(x,K(z,u \ 1)),K(z,u)) = T(y,K(z,u \ 1) * x). [para(7881(a,1),13008(a,1,2))]. given #11809 (H,wt=23): 13026 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u \ 1) * x). [para(7879(a,1),13011(a,1,2,1,2))]. given #11810 (H,wt=20): 13028 T(x,K(y,z \ 1) * u) != w | T(x,K(y,z) * u) = w. [para(13026(a,1),13017(a,1))]. given #11811 (H,wt=23): 13027 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x). [hyper(199,a,13013,a,b,13026,a)]. given #11812 (H,wt=17): 13029 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [hyper(13019,a,13027,a),flip(a)]. given #11813 (H,wt=23): 13030 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(5270(a,1),13029(a,1,2)),flip(a)]. given #11814 (H,wt=21): 13031 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(7880(a,1),13030(a,1,2,2))]. given #11815 (H,wt=17): 13032 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(105(a,1),13031(a,1,2)),flip(a)]. given #11816 (H,wt=27): 13015 x \ T(y * T(x,K(z \ 1,u)),K(1 / z,u)) = T(y,K(1 / z,u) * x). [para(3082(a,1),13009(a,1,2,1,2,2))]. given #11817 (H,wt=32): 13012 a(x,y,z) \ (u \ T(a(x,y,z) * T(u,K(w,v5)),K(w,v5))) = a(K(w,v5) * u,y,K(x,z)). [hyper(68,a,13009,a,b,12284,a)]. given #11818 (H,wt=33): 13033 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13032(a,1),13006(a,1,2,2))]. given #11819 (H,wt=33): 13034 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5255(a,1),13033(a,1,2,2,2,2))]. given #11820 (H,wt=31): 13035 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13025(a,1),13034(a,1,2,2))]. given #11821 (H,wt=29): 13036 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4652(a,2),13035(a,1,2,2,2))]. given #11822 (H,wt=27): 13037 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(11694,a,13036,a)]. given #11823 (H,wt=25): 13038 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(199,a,11607,a(flip),b,13037,a(flip))]. given #11824 (H,wt=25): 13039 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8074(a,1),13038(a,1,2))]. given #11825 (H,wt=23): 13040 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(8077,a,13039,a),flip(a)]. given #11826 (H,wt=41): 12993 K(x,L(y,z,z \ 1) \ (u * T(y \ L(y,z,z \ 1),w))) = K(x,(u \ L(y,z,z \ 1)) \ (y \ L(y,z,z \ 1))). [hyper(199,a,12581,a(flip),b,12970,a)]. given #11827 (H,wt=47): 13041 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(4882(a,1),13040(a,1,2,1)),flip(a)]. given #11828 (H,wt=43): 13042 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(170(a,1),13041(a,2,2,2,2))]. given #11829 (H,wt=43): 13043 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(8078(a,1),13042(a,2,2,2))]. given #11830 (H,wt=41): 13044 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(199,a,11818,a(flip),b,13043,a)]. given #11831 (H,wt=39): 13045 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(199,a,11776,a(flip),b,13044,a)]. given #11832 (H,wt=37): 13046 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(199,a,11683,a(flip),b,13045,a)]. given #11833 (H,wt=35): 13047 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(4652(a,2),13046(a,2,2,1))]. given #11834 (H,wt=33): 13048 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(199,a,12991,a(flip),b,13047,a)]. given #11835 (H,wt=25): 13049 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),13048(a,1,2,1,2))]. given #11836 (H,wt=21): 13050 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(7078(a,1),13049(a,1,2))]. given #11837 (H,wt=19): 13051 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(9920(a,1),13050(a,1,2)),flip(a)]. given #11838 (H,wt=19): 13052 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),13051(a,1,2,1)),flip(a)]. given #11839 (H,wt=15): 13053 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),13052(a,1,2,1)),flip(a)]. given #11840 (H,wt=15): 13054 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(7975,a,13053,a)]. given #11841 (H,wt=15): 13055 K(x,T(y,z * (z * u))) = K(x,T(y,u)). [para(13(a,1),13053(a,1,2,2)),flip(a)]. given #11842 (H,wt=15): 13057 K(x,T(y,z * u)) = K(x,T(y,u * z)). [hyper(199,a,13053,a(flip),b,13054,a(flip))]. given #11843 (H,wt=15): 13059 K(x,T(y,(z \ u) * z)) = K(x,T(y,u)). [para(14(a,1),13057(a,1,2,2)),flip(a)]. given #11844 (H,wt=13): 13066 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(9923(a,1),13059(a,1,2))]. given #11845 (H,wt=13): 13067 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(7247,a,13066,a)]. given #11846 (H,wt=13): 13071 K(x,T(y,T(z,u))) = T(K(x,y),z). [hyper(199,a,7084,a(flip),b,13066,a)]. given #11847 (H,wt=15): 13073 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(107(a,1),13066(a,1,2,2)),flip(a)]. given #11848 (H,wt=15): 13087 K(x,T(y,z / u)) = K(x,T(y,u * z)). [hyper(199,a,13053,a(flip),b,13073,a)]. given #11849 (H,wt=16): 13085 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(13071(a,2),7132(a,1))]. given #11850 (H,wt=16): 13090 T(K(x,y),T(z,u)) != w | K(x,T(y,z)) = w. [para(7084(a,1),13085(a,1))]. given #11851 (H,wt=17): 13076 K(x,K(y,T(z,u))) = K(x,y) * K(x,T(y,z)). [para(13066(a,1),7779(a,1,2)),flip(a)]. given #11852 (H,wt=13): 13094 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(199,a,7779,a(flip),b,13076,a)]. given #11853 (H,wt=13): 13096 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(7907,a,13094,a)]. given #11854 (H,wt=13): 13097 K(K(x,y),T(z,u)) = K(x,K(y,z)). [hyper(7730,a,13094,a)]. given #11855 (H,wt=13): 13102 K(x,K(T(y,z),u)) = K(x,K(y,u)). [para(7141(a,2),13094(a,1,2))]. given #11856 (H,wt=15): 13100 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(107(a,1),13094(a,1,2,2)),flip(a)]. given #11857 (H,wt=15): 13101 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7070(a,1),13094(a,1,2))]. given #11858 (H,wt=15): 13103 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(13094(a,1),7258(a,1,2)),flip(a)]. given #11859 (H,wt=9): 13128 T(x,K(y,K(z,u))) = x. [hyper(188,a,13103,a)]. given #11860 (H,wt=9): 13129 K(K(x,y),K(z,u)) = 1. [hyper(67,a,13103,a,b,7723,a),flip(a)]. given #11861 (H,wt=11): 13131 T(x,T(y,K(z,u))) = T(x,y). [hyper(17,a,6883,a(flip),b,13103,a)]. given #11862 (H,wt=11): 13142 T(K(x,y),K(z,u)) = K(x,y). [hyper(37,a,13129,a)]. given #11863 (H,wt=13): 13144 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(6875(a,1),13131(a,1,2))]. given #11864 (H,wt=14): 13167 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(13142(a,1),7108(a,1))]. given #11865 (H,wt=15): 13105 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(9931(a,1),13094(a,1,2))]. given #11866 (H,wt=15): 13109 K(x,K(y,z)) * u = u * K(x,K(z,y)). [para(13096(a,1),7258(a,1,2)),flip(a)]. given #11867 (H,wt=15): 13110 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(9936(a,2),13096(a,1,2))]. given #11868 (H,wt=15): 13117 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(7902,a,13100,a)]. given #11869 (H,wt=15): 13126 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(5147,a,13103,a)]. given #11870 (H,wt=15): 13134 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(9927,a,13128,a)]. given #11871 (H,wt=15): 13136 T(x * y,K(z,K(u,w))) = T(y,x) * x. [hyper(199,a,166,a,b,13128,a)]. given #11872 (H,wt=15): 13148 T(x,T(y,z / u)) = T(x,T(y,u \ z)). [para(6960(a,1),13131(a,1,2)),flip(a)]. given #11873 (H,wt=15): 13151 T(x,T(y,z * u)) = T(x,T(y,u * z)). [para(9926(a,1),13131(a,1,2))]. given #11874 (H,wt=15): 13152 K(x,T(T(y,K(z,u)),w)) = K(x,T(y,w)). [hyper(7375,a,13142,a)]. given #11875 (H,wt=15): 13154 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(6166,a,13142,a),flip(a)]. given #11876 (H,wt=15): 13159 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(13142(a,1),105(a,1,2))]. given #11877 (H,wt=15): 13177 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(13167,a,9933,a),flip(a)]. given #11878 (H,wt=16): 13095 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(13076(a,2),7782(a,1))]. given #11879 (H,wt=16): 13194 K(x,T(y,z) * z) != u | K(x,z * y) = u. [para(13136(a,1),13167(a,1,2))]. given #11880 (H,wt=16): 13204 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7141(a,2),13095(a,1,2))]. given #11881 (H,wt=16): 13207 K(x,y * T(z,y)) != u | K(x,z * y) = u. [para(192(a,1),13194(a,1,2))]. given #11882 (H,wt=17): 13121 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(12439(a,2),13100(a,2,2)),flip(a)]. given #11883 (H,wt=17): 13147 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(13131(a,1),7497(a,2,2))]. given #11884 (H,wt=17): 13149 T(K(x,y) / T(z,u),z) = T(z,u) \ K(x,y). [para(13131(a,1),8043(a,1,1,2))]. given #11885 (H,wt=17): 13172 T(x,T(T(y,z) \ u,y)) = T(x,u / T(y,z)). [hyper(7596,a,13144,a),flip(a)]. given #11886 (H,wt=17): 13179 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(5573(a,1),13167(a,1,2,2))]. given #11887 (H,wt=17): 13192 T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). [para(5937(a,1),13134(a,2,2))]. given #11888 (H,wt=17): 13195 K(x,T(T(y,z) * z,u)) = K(x,T(z * y,u)). [para(13136(a,1),13152(a,1,2,1))]. given #11889 (H,wt=17): 13203 K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,z)). [para(12491(a,1),13177(a,2,2))]. given #11890 (H,wt=18): 13089 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(170(a,1),13085(a,1,2,2))]. given #11891 (H,wt=18): 13091 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(9920(a,1),13085(a,1,2))]. given #11892 (H,wt=18): 13120 K(x,K(y,z \ u)) != w | K(x,K(y,z / u)) = w. [para(13100(a,1),7902(a,1))]. given #11893 (H,wt=18): 13123 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(13101(a,2),5289(a,1))]. given #11894 (H,wt=18): 13137 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(13128(a,1),217(a,1,1))]. given #11895 (H,wt=18): 13139 T(x,y * K(z,u)) != w | T(x,K(z,u) * y) = w. [para(13128(a,1),9927(a,1))]. given #11896 (H,wt=18): 13140 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(13128(a,1),9929(a,1,1))]. given #11897 (H,wt=18): 13180 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(6231(a,1),13167(a,1,2))]. given #11898 (H,wt=18): 13181 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(6313(a,1),13167(a,1,2))]. given #11899 (H,wt=18): 13184 K(x,K(T(y,K(z,u)),w)) != v5 | K(x,K(y,w)) = v5. [para(7133(a,2),13167(a,1,2))]. given #11900 (H,wt=18): 13185 K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. [para(9946(a,1),13167(a,1))]. given #11901 (H,wt=18): 13187 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(13105(a,1),7739(a,1))]. given #11902 (H,wt=18): 13191 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(13117(a,1),7902(a,1))]. given #11903 (H,wt=18): 13205 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(9931(a,1),13095(a,1,2))]. given #11904 (H,wt=18): 13206 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(9946(a,1),13095(a,1,2))]. given #11905 (H,wt=18): 13214 K(x,T(y,z \ u)) != w | K(x,T(y,z * u)) = w. [para(13054(a,2),13091(a,1))]. given #11906 (H,wt=18): 13215 T(K(x,y),z) != u | K(z,K(y,x)) * K(x,y) = u. [para(5287(a,1),13137(a,1))]. given #11907 (H,wt=18): 13222 K(x,K(y * z,u)) != w | K(u,K(z * y,x)) = w. [para(7715(a,1),13206(a,1))]. given #11908 (H,wt=19): 13058 K(x,y) * K(x,T(y,z * u)) = K(x,K(y,u \ z)). [para(13054(a,1),7779(a,1,2))]. given #11909 (H,wt=15): 13223 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [hyper(7782,a,13058,a),flip(a)]. given #11910 (H,wt=15): 13224 K(x,K(y,z / u)) = K(x,K(y,u * z)). [hyper(13120,a,13223,a)]. given #11911 (H,wt=17): 13225 x * K(x,K(y,z * u)) = T(x,K(y,u \ z)). [para(13223(a,1),4652(a,2,2)),flip(a)]. given #11912 (H,wt=15): 13229 T(x,K(y,z \ u)) = T(x,K(y,u * z)). [hyper(4655,a,13225,a),flip(a)]. given #11913 (H,wt=15): 13231 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [hyper(7891,a,13229,a)]. given #11914 (H,wt=17): 13233 T(x,K(y \ 1,z \ u)) = T(x,K(y,z * u)). [hyper(199,a,7886,a(flip),b,13231,a)]. given #11915 (H,wt=18): 13226 K(x,K(y,z * u)) != w | K(x,K(y,u / z)) = w. [para(13223(a,1),13120(a,1))]. given #11916 (H,wt=19): 13072 K(x,T(y / (z * u),u)) = K(x,(u * z) \ T(y,z)). [hyper(199,a,12951,a(flip),b,13066,a(flip))]. given #11917 (H,wt=19): 13112 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [para(13097(a,1),7155(a,1,1))]. given #11918 (H,wt=19): 13124 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(8485,a,13103,a),flip(a)]. given #11919 (H,wt=19): 13189 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(199,a,9759,a(flip),b,13110,a(flip)),flip(a)]. given #11920 (H,wt=19): 13237 K(x,(y * z) \ T(u * (z * y),z)) = K(x,T(u,y)). [para(15(a,1),13072(a,1,2,1)),flip(a)]. given #11921 (H,wt=19): 13238 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(199,a,7102,a,b,13112,a)]. given #11922 (H,wt=20): 13182 K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. [para(6289(a,1),13167(a,1,2))]. given #11923 (H,wt=17): 13241 K(x,K(y,z) \ (u * y)) = K(x,u * T(y,z)). [hyper(13182,a,11598,a(flip)),flip(a)]. given #11924 (H,wt=20): 13188 K(x,K(y,z)) * (u * z) != w | u * T(z,K(x,y)) = w. [para(13109(a,2),7768(a,1))]. given #11925 (H,wt=20): 13213 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(12385(a,2),13091(a,1,2))]. given #11926 (H,wt=20): 13218 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(12439(a,2),13191(a,1,2))]. given #11927 (H,wt=20): 13242 K(x,K(y,z) \ (u * y)) != w | K(x,u * T(y,z)) = w. [para(5028(a,2),13182(a,1,2))]. given #11928 (H,wt=20): 13243 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(13105(a,1),13218(a,1))]. given #11929 (H,wt=21): 13106 K(x,K(y,z)) * K(y,T(z,u) * x) = K(y,x * T(z,u)). [para(13094(a,1),9975(a,1,1))]. given #11930 (H,wt=21): 13111 K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z * T(y,u)). [para(13096(a,1),9973(a,1,1))]. given #11931 (H,wt=21): 13115 K(x,K(y,z)) * K(x,T(y,u) \ z) = K(x,z / T(y,u)). [para(13102(a,1),8112(a,1,1))]. given #11932 (H,wt=21): 13141 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(13128(a,1),13007(a,1,2,1,2))]. given #11933 (H,wt=15): 13245 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(13128(a,1),13141(a,1,2)),flip(a)]. given #11934 (H,wt=13): 13246 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(199,a,32,a,b,13245,a)]. given #11935 (H,wt=13): 13248 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(13018,a,13246,a)]. given #11936 (H,wt=13): 13252 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(7093(a,1),13248(a,1,2))]. given #11937 (H,wt=13): 13256 T(x,K(T(y,z),u)) = T(x,K(y,u)). [para(7141(a,2),13252(a,1,2))]. given #11938 (H,wt=15): 13249 T(x,y * T(z,K(u,w))) = T(x,y * z). [hyper(199,a,13192,a(flip),b,13246,a(flip)),flip(a)]. given #11939 (H,wt=15): 13250 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [para(13246(a,1),11596(a,1,2)),flip(a)]. given #11940 (H,wt=15): 13251 K(K(x,K(y,z)) * u,w) = w / T(w,u). [para(13248(a,1),4596(a,2,2))]. given #11941 (H,wt=13): 13263 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(199,a,4596,a,b,13251,a)]. given #11942 (H,wt=13): 13264 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(13185,a,13263,a)]. given #11943 (H,wt=15): 13253 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(7790(a,1),13248(a,1,2))]. given #11944 (H,wt=15): 13262 K(x * K(y,K(z,u)),w) = w / T(w,x). [hyper(13185,a,13251,a)]. given #11945 (H,wt=15): 13268 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(5941(a,1),13264(a,1,1)),flip(a)]. given #11946 (H,wt=15): 13269 T(x,K(y,z / u)) = T(x,K(y,u * z)). [hyper(199,a,13231,a(flip),b,13253,a)]. given #11947 (H,wt=16): 13261 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(13250(a,2),4709(a,1))]. given #11948 (H,wt=13): 13274 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(13261,a,13177,a),flip(a)]. given #11949 (H,wt=13): 13276 K(x,K(y,K(z,u)) \ w) = K(x,w). [hyper(13261,a,11598,a(flip)),flip(a)]. given #11950 (H,wt=15): 13273 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [hyper(13261,a,13203,a),flip(a)]. given #11951 (H,wt=15): 13275 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(13261,a,11599,a),flip(a)]. given #11952 (H,wt=15): 13282 K(x,y * T(z,K(u,w))) = K(x,y * z). [para(1224(a,1),13274(a,1,2))]. given #11953 (H,wt=15): 13283 K(x,y / T(z,K(u,w))) = K(x,y / z). [para(5941(a,1),13274(a,1,2)),flip(a)]. given #11954 (H,wt=16): 13270 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(13262(a,2),4681(a,1))]. given #11955 (H,wt=17): 13258 T(x,y * (z * K(y,u))) = T(x,T(y,u) * z). [para(4907(a,1),13249(a,1,2))]. given #11956 (H,wt=17): 13272 T(T(x,y),K(y,z * u)) = T(x,T(y,u / z)). [hyper(6897,a,13269,a),flip(a)]. given #11957 (H,wt=17): 13288 K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). [para(6875(a,1),13283(a,1,2,2))]. given #11958 (H,wt=18): 13277 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(5074(a,1),13261(a,1,2))]. given #11959 (H,wt=18): 13278 K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. [para(5437(a,1),13261(a,1,2))]. given #11960 (H,wt=18): 13279 K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. [para(5438(a,1),13261(a,1,2))]. given #11961 (H,wt=18): 13289 K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. [para(6235(a,1),13270(a,1,1))]. given #11962 (H,wt=18): 13291 T(x,T(y,z / u)) != w | T(x,T(y,u * z)) = w. [para(13272(a,1),6897(a,1))]. given #11963 (H,wt=18): 13299 T(x,T(y,z \ u)) != w | T(x,T(y,z * u)) = w. [para(13148(a,1),13291(a,1))]. given #11964 (H,wt=19): 13266 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(9153(a,1),13263(a,1,1))]. given #11965 (H,wt=19): 13284 K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). [para(9767(a,1),13274(a,1,2)),flip(a)]. given #11966 (H,wt=19): 13285 K(x,y \ T(z,u / w)) = K(x,y \ T(z,w \ u)). [para(6960(a,1),13273(a,1,2,2)),flip(a)]. given #11967 (H,wt=19): 13287 K(x,y * T(z,u / w)) = K(x,y * T(z,w \ u)). [para(6960(a,1),13282(a,1,2,2)),flip(a)]. given #11968 (H,wt=20): 13280 K(x,K(y,T(z,u)) * w) != v5 | K(x,K(y,z) * w) = v5. [para(7120(a,1),13261(a,1,2))]. given #11969 (H,wt=20): 13286 K(x,L(y \ 1,y,z) \ u) = K(x,((z * y) \ z) \ u). [para(1990(a,1),13275(a,1,2,1))]. given #11970 (H,wt=20): 13295 K(x,(T(y,z) * z) \ u) != w | K(x,(z * y) \ u) = w. [para(13136(a,1),13277(a,1,2,1))]. given #11971 (H,wt=21): 13193 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(13134(a,1),13014(a,2,2))]. given #11972 (H,wt=21): 13196 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(199,a,12925,a,b,13154,a),flip(a)]. given #11973 (H,wt=17): 13308 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(199,a,5224,a(flip),b,13196,a)]. given #11974 (H,wt=17): 13309 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8753,a,13308,a)]. given #11975 (H,wt=21): 13211 (T(x,y) \ z) \ K(u,x \ z) = T(x \ z,u) \ K(x,y). [hyper(12682,a,13149,a)]. given #11976 (H,wt=21): 13234 T(T(x,K(y,z * u)),(z \ u) * y) = T(x,y * (z \ u)). [para(13231(a,1),9921(a,1,1))]. given #11977 (H,wt=21): 13239 K(x,((y \ z) * y) \ T(u * z,y)) = K(x,T(u,y \ z)). [para(14(a,1),13237(a,1,2,2,1,2))]. given #11978 (H,wt=19): 13313 K(x,T(y,z) \ T(u * y,z)) = K(x,T(u,z \ y)). [hyper(199,a,11590,a(flip),b,13239,a(flip)),flip(a)]. given #11979 (H,wt=19): 13314 K(x,T(y,z) \ T(u * y,z)) = K(x,T(u,z * y)). [hyper(199,a,13053,a(flip),b,13313,a)]. given #11980 (H,wt=19): 13316 K(x,T(y / z,u * z)) = K(x,T(z,u) \ T(y,u)). [para(16(a,1),13314(a,1,2,2,1)),flip(a)]. given #11981 (H,wt=21): 13267 K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). [para(13264(a,1),4660(a,2,1)),flip(a)]. given #11982 (H,wt=19): 13318 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(4977,a,13267,a),flip(a)]. given #11983 (H,wt=21): 13306 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(13193(a,1),47(a,1,1))]. given #11984 (H,wt=21): 13317 K(x,T((y * z) / u,z * u)) = K(x,T(u,z) \ (z * y)). [hyper(199,a,11621,a(flip),b,13316,a)]. given #11985 (H,wt=22): 13062 L(K(x,T(y \ z,y * u)),y,u) = K(x,(u * z) / (u * y)). [para(13057(a,1),10485(a,1,1))]. given #11986 (H,wt=22): 13063 L(K(x,T(y / z,u * z)),z,u) = K(x,(z * u) \ (y * u)). [para(13057(a,1),12893(a,1,1))]. given #11987 (H,wt=22): 13104 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(7301(a,1),13094(a,1,2))]. given #11988 (H,wt=22): 13122 L(K(x,K(y,z \ u)),z,z \ y) = K(x,K(y,u * (z \ y))). [para(13100(a,1),12948(a,1,1))]. given #11989 (H,wt=22): 13127 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(199,a,8122,a(flip),b,13103,a)]. given #11990 (H,wt=20): 13322 K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. [para(13127(a,1),13261(a,1,2))]. given #11991 (H,wt=17): 13323 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [hyper(13322,a,13284,a(flip)),flip(a)]. given #11992 (H,wt=19): 13327 K(x,y * (T(z,K(u,w)) \ v5)) = K(x,y * (z \ v5)). [para(4896(a,1),13323(a,1,2,2)),flip(a)]. given #11993 (H,wt=21): 13329 K(x,y * (T(z,T(u,w)) \ v5)) = K(x,y * (T(z,u) \ v5)). [para(6875(a,1),13327(a,1,2,2,1))]. given #11994 (H,wt=21): 13330 K(x,y * (T(z,u) \ T(u,w))) = K(x,y * (T(u,w) / z)). [hyper(199,a,11555,a(flip),b,13329,a(flip))]. given #11995 (H,wt=22): 13190 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),13117(a,2,2,2))]. given #11996 (H,wt=22): 13202 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(10444(a,1),13177(a,2,2))]. given #11997 (H,wt=22): 13208 K(x,T(y \ z,u) * y) != w | K(x,y * T(z / y,u)) = w. [para(167(a,1),13194(a,1,2,1))]. given #11998 (H,wt=22): 13217 T(T(x,K(y,z)),K(z,u)) != w | T(x,K(y,z) * K(z,u)) = w. [para(10595(a,2),13139(a,1))]. given #11999 (H,wt=22): 13230 T(x,K(y,z \ u)) != w * v5 | w \ T(x,K(y,u * z)) = v5. [para(13225(a,1),4656(a,1))]. given #12000 (H,wt=22): 13240 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(13238(a,2),19(a,1))]. given #12001 (H,wt=22): 13257 T(T(x,K(y,z)),z / T(y,u)) != w | T(x,T(y,u) \ z) = w. [para(13256(a,1),7829(a,1,1))]. given #12002 (H,wt=22): 13281 K(x,(K(y,z) * u) * w) != v5 | K(x,(u * K(y,z)) * w) = v5. [para(9880(a,1),13261(a,1,2))]. given #12003 (H,wt=22): 13293 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. [para(6313(a,1),13277(a,1,2,1))]. given #12004 (H,wt=22): 13296 K(x,y \ (K(z,u) * w)) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(6231(a,1),13279(a,1,2,2))]. given #12005 (H,wt=22): 13297 K(x,y \ (z * K(u,w))) != v5 | K(x,y \ (K(u,w) * z)) = v5. [para(6313(a,1),13279(a,1,2,2))]. given #12006 (H,wt=22): 13302 K(x / y,z \ T(u,y \ x)) != w | K(x / y,z \ u) = w. [para(13285(a,1),6852(a,1))]. given #12007 (H,wt=17): 13334 K(x / y,z \ T(y,x)) = K(x / y,z \ y). [hyper(13302,a,11582,a),flip(a)]. given #12008 (H,wt=17): 13335 K(x / y,z \ T(y,x)) = K(y / z,y \ x). [hyper(199,a,7508,a(flip),b,13334,a)]. given #12009 (H,wt=17): 13336 K(x \ T(y,z),z / y) = K(y / x,y \ z). [hyper(4862,a,13335,a)]. given #12010 (H,wt=19): 13337 K(x \ T(y,z),T(y,z) \ z) = K(y / x,y \ z). [hyper(11568,a,13336,a)]. given #12011 (H,wt=22): 13303 K(x,(y / z) \ T(u,z \ y)) != w | K(x,u / (y / z)) = w. [para(13285(a,1),11567(a,1))]. given #12012 (H,wt=22): 13304 K(x,K(y,z \ u) * w) != v5 | K(x,K(y,u / z) * w) = v5. [para(107(a,1),13280(a,1,2,1,2))]. given #12013 (H,wt=19): 13339 K(x,K(y,z / u) * w) = K(x,K(y,z \ u) * w). [hyper(13304,a,11644,a)]. given #12014 (H,wt=21): 13340 x / T(x,K(y,z \ u) * w) = K(x,K(y,u / z) * w). [hyper(13304,a,4744,a),flip(a)]. given #12015 (H,wt=22): 13305 K(x,K(y,z / u) * w) != v5 | K(x,K(y,u \ z) * w) = v5. [para(170(a,1),13280(a,1,2,1,2))]. given #12016 (H,wt=22): 13321 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(199,a,13100,a,b,13104,a)]. given #12017 (H,wt=22): 13324 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(85(a,1),13322(a,1,2,2))]. given #12018 (H,wt=22): 13325 K(x,y * (T(z,K(u,w)) / v5)) != v6 | K(x,y * (z / v5)) = v6. [para(1221(a,1),13322(a,1,2,2))]. given #12019 (H,wt=22): 13326 K(x,y * (z \ T(u,K(w,v5)))) != v6 | K(x,y * (z \ u)) = v6. [para(1222(a,1),13322(a,1,2,2))]. given #12020 (H,wt=22): 13341 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),13321(a,1,2,2,1)),flip(a)]. given #12021 (H,wt=23): 13099 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(199,a,7498,a(flip),b,13094,a(flip)),flip(a)]. given #12022 (H,wt=21): 13344 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(5601(a,1),13099(a,2,2))]. given #12023 (H,wt=19): 13345 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(199,a,8196,a(flip),b,13344,a)]. given #12024 (H,wt=22): 13346 K(x,1 / L(K(y,z),u,w)) != v5 | K(x,L(K(y,z),u,w)) = v5. [para(13344(a,1),4925(a,1))]. given #12025 (H,wt=22): 13347 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(13345(a,2),8233(a,1))]. given #12026 (H,wt=23): 13176 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(13167,a,12920,a),flip(a)]. given #12027 (H,wt=23): 13290 T(x,(1 / y) * (z * K(y \ 1,u))) = T(x,T(1 / y,u) * z). [para(3082(a,1),13258(a,1,2,2,2))]. given #12028 (H,wt=21): 13349 T(x,y \ (z * K(y \ 1,u))) = T(x,T(1 / y,u) * z). [hyper(199,a,12457,a(flip),b,13290,a(flip)),flip(a)]. given #12029 (H,wt=21): 13350 T(x,(y \ z) * K(y \ 1,u)) = T(x,T(1 / y,u) * z). [para(8684(a,1),13349(a,1,2))]. given #12030 (H,wt=23): 13292 K(x,T(y \ (T(z,u) * w),w)) = K(x,(w * T(z,u)) / T(y,z)). [hyper(199,a,12945,a,b,13288,a(flip)),flip(a)]. given #12031 (H,wt=23): 13300 K(x,(T(y,z) \ z) \ T(u,y \ z)) = K(x,u / (T(y,z) \ z)). [hyper(11571,a,13285,a),flip(a)]. given #12032 (H,wt=21): 13352 K(x,(y / z) \ T(u,z \ y)) = K(x,u / (T(z,y) \ y)). [hyper(199,a,11570,a(flip),b,13300,a(flip)),flip(a)]. given #12033 (H,wt=17): 13353 K(x,y / (T(z,u) \ u)) = K(x,y / (u / z)). [hyper(13303,a,13352,a),flip(a)]. given #12034 (H,wt=17): 13355 K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). [para(3935(a,1),13353(a,1,2,2))]. given #12035 (H,wt=19): 13356 K(x,y / ((z / u) / u)) = K(x,y / (u \ (u \ z))). [para(107(a,1),13355(a,1,2,2,2)),flip(a)]. given #12036 (H,wt=21): 13354 K(x,y / (T(T(z,u),w) \ u)) = K(x,y / (u / T(z,w))). [para(38(a,1),13353(a,1,2,2,1))]. given #12037 (H,wt=23): 13319 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(13318(a,2),7748(a,1,1))]. given #12038 (H,wt=23): 13328 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * ((w * K(z,u)) \ v5)). [para(9153(a,1),13323(a,1,2,2))]. given #12039 (H,wt=23): 13331 T(x,y * (T(z,u) \ T(u,w))) = x * K(x,y * (T(u,w) / z)). [para(13330(a,1),4652(a,2,2))]. given #12040 (H,wt=21): 13358 T(x,y * (T(z,u) \ T(u,w))) = T(x,y * (T(u,w) / z)). [hyper(199,a,4652,a,b,13331,a)]. given #12041 (H,wt=23): 13348 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),13176(a,1,1,1,1))]. given #12042 (H,wt=24): 13064 L(K(x,T(T(y,z),u * z)),z,u) = K(x,(z * u) \ ((z * y) * u)). [para(13057(a,1),12895(a,1,1))]. given #12043 (H,wt=23): 13361 K(x,(y * z) \ ((y * u) * z)) = (z * (K(x,u) * y)) / (z * y). [hyper(199,a,8467,a(flip),b,13064,a(flip))]. given #12044 (H,wt=23): 13362 K(x,(y * z) / (y * (u \ z))) = K(x,(z * y) \ ((z * u) * y)). [hyper(199,a,9122,a,b,13361,a),flip(a)]. given #12045 (H,wt=23): 13363 K(x,(y * z) \ ((y * (y / u)) * z)) = K(x,(z * y) / (z * u)). [para(63(a,1),13362(a,1,2,2,2)),flip(a)]. given #12046 (H,wt=22): 13364 L(K(x,T(y \ z,z * u)),z,u) = K(x,(u * z) / (u * y)). [hyper(199,a,12952,a(flip),b,13363,a(flip)),flip(a)]. given #12047 (H,wt=24): 13119 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(199,a,8186,a,b,13100,a),flip(a)]. given #12048 (H,wt=22): 13365 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(199,a,7845,a(flip),b,13119,a)]. given #12049 (H,wt=22): 13366 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(13123,a,13365,a)]. given #12050 (H,wt=24): 13333 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(11670,a,13202,a)]. given #12051 (H,wt=21): 13368 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(199,a,13202,a(flip),b,13333,a(flip))]. given #12052 (H,wt=23): 13369 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(199,a,6714,a,b,13368,a(flip)),flip(a)]. given #12053 (H,wt=21): 13370 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4652(a,2),13369(a,2,2,2))]. given #12054 (H,wt=19): 13371 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(12418,a,13370,a)]. given #12055 (H,wt=17): 13372 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(11732,a,13371,a)]. given #12056 (H,wt=17): 13373 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(12468,a,13372,a),flip(a)]. given #12057 (H,wt=15): 13375 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(11585,a,13373,a)]. given #12058 (H,wt=17): 13376 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(13375(a,1),4660(a,2,1))]. given #12059 (H,wt=15): 13377 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(199,a,4660,a,b,13376,a)]. given #12060 (H,wt=23): 13374 K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z / T(y \ 1,u)). [hyper(199,a,13111,a,b,13372,a),flip(a)]. given #12061 (H,wt=24): 13359 T(x,y * (T(z,u) \ T(u,w))) != v5 | T(x,y * (T(u,w) / z)) = v5. [para(13331(a,2),4655(a,1))]. given #12062 (H,wt=24): 13367 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),13366(a,1,2,1,1))]. given #12063 (H,wt=25): 13107 K(x,K(y,z)) * K(y,(u * (z / u)) * x) = K(y,x * (u * (z / u))). [para(13094(a,1),9976(a,1,1))]. given #12064 (H,wt=23): 13380 K(x,y * (z * (u / z))) = K(y,K(x,u)) * K(x,T(u,z) * y). [para(11593(a,1),13107(a,1,2)),flip(a)]. given #12065 (H,wt=17): 13382 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [hyper(199,a,13106,a(flip),b,13380,a)]. given #12066 (H,wt=19): 13383 K(x,K(y,z) \ (u * y)) = K(x,u * (z * (y / z))). [hyper(199,a,13241,a,b,13382,a),flip(a)]. given #12067 (H,wt=20): 13384 K(x,y * (z * (u / z))) != w | K(x,y * T(u,z)) = w. [para(13383(a,1),13242(a,1))]. given #12068 (H,wt=24): 13385 K(x,K(y,z)) * K(y,T(z,u) * x) != w | K(y,x * T(z,u)) = w. [para(13380(a,1),13384(a,1))]. given #12069 (H,wt=25): 13219 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(101(a,1),13205(a,1,2,2))]. given #12070 (H,wt=25): 13228 K(x,(y / z) \ u) * K(x,K(u,y * z)) = K(x,u * ((y / z) \ 1)). [para(13224(a,1),12445(a,1,2))]. given #12071 (H,wt=23): 13386 K(x,(y / z) \ u) * K(x,K(u,y * z)) = K(x,u / (y / z)). [hyper(199,a,12317,a(flip),b,13228,a)]. given #12072 (H,wt=25): 13244 K(x,K(y,z)) * K(x,T(y \ 1,u) \ z) = K(x,z / T(y \ 1,u)). [para(7849(a,1),13115(a,1,1))]. given #12073 (H,wt=17): 13387 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). [hyper(17,a,13374,a,b,13244,a)]. given #12074 (H,wt=17): 13388 K(x,T(1 / y,z) \ u) = K(x,T(y,z) * u). [hyper(12595,a,13387,a)]. given #12075 (H,wt=25): 13271 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(199,a,12920,a,b,13268,a),flip(a)]. given #12076 (H,wt=25): 13298 T(x,T((y / z) * u,T(z,(z \ y) * u) * y)) = T(x,u * (y / z)). [hyper(13291,a,10029,a)]. given #12077 (H,wt=25): 13315 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(5008(a,1),13313(a,2,2,2))]. given #12078 (H,wt=21): 13390 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(13277,a,13315,a)]. given #12079 (H,wt=21): 13392 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [para(4384(a,2),13390(a,1,2))]. given #12080 (H,wt=17): 13393 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(13278,a,13392,a),flip(a)]. given #12081 (H,wt=15): 13395 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(199,a,7139,a(flip),b,13393,a)]. given #12082 (H,wt=15): 13396 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(13091,a,13395,a)]. given #12083 (H,wt=15): 13400 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [hyper(199,a,13087,a,b,13395,a(flip)),flip(a)]. given #12084 (H,wt=15): 13407 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(199,a,13087,a,b,13396,a(flip)),flip(a)]. given #12085 (H,wt=17): 13401 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). [para(5480(a,1),13395(a,1,2,2))]. given #12086 (H,wt=17): 13415 T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). [para(13400(a,1),4652(a,2,2))]. given #12087 (H,wt=15): 13420 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [hyper(199,a,4652,a,b,13415,a)]. given #12088 (H,wt=17): 13417 K(x,T(y,T(z,u) * w)) = K(x,T(y,w * z)). [hyper(13091,a,13401,a)]. given #12089 (H,wt=17): 13421 T(x,T(y,z * T(u,w))) = T(x,T(y,z * u)). [para(6255(a,1),13420(a,1,2,2))]. given #12090 (H,wt=17): 13422 T(x,T(y,T(z,u) * w)) = T(x,T(y,w * z)). [hyper(199,a,13151,a,b,13421,a(flip)),flip(a)]. given #12091 (H,wt=19): 13408 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(5943(a,1),13396(a,1,2,2)),flip(a)]. given #12092 (H,wt=19): 13423 T(x,T((y / z) * u,y * z)) = T(x,u * (y / z)). [hyper(199,a,13298,a(flip),b,13422,a(flip))]. given #12093 (H,wt=20): 13411 K(x \ y,T(z,x * K(u,w))) != v5 | K(y / x,z) = v5. [para(13396(a,2),7197(a,1))]. given #12094 (H,wt=21): 13402 (K(x,y) * z) * K(u,T(w,z)) = K(u,w) * (K(x,y) * z). [para(13395(a,1),7105(a,1,2))]. given #12095 (H,wt=21): 13410 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(13396(a,1),7106(a,1,1))]. given #12096 (H,wt=21): 13416 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(13407(a,1),7106(a,1,1))]. given #12097 (H,wt=19): 13432 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(199,a,12526,a(flip),b,13416,a(flip)),flip(a)]. given #12098 (H,wt=21): 13429 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(154,a,13410,a(flip),b,9303,a),flip(a)]. given #12099 (H,wt=15): 13435 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(18,a,7727,a,b,13429,a),flip(a)]. given #12100 (H,wt=15): 13436 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(13226,a,13435,a)]. given #12101 (H,wt=15): 13438 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(13205,a,13435,a)]. given #12102 (H,wt=15): 13445 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(199,a,5286,a,b,13436,a)]. given #12103 (H,wt=15): 13452 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(7904,a,13445,a),flip(a)]. given #12104 (H,wt=15): 13453 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(5289,a,13445,a)]. given #12105 (H,wt=17): 13441 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(5936(a,1),13435(a,1,2,2)),flip(a)]. given #12106 (H,wt=17): 13447 T(x,K(y,K(z,u) * w)) = x * K(x,K(y,w)). [para(13438(a,1),4652(a,2,2))]. given #12107 (H,wt=15): 13460 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(199,a,4652,a,b,13447,a)]. given #12108 (H,wt=17): 13456 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1221(a,1),13452(a,1,2,1))]. given #12109 (H,wt=17): 13461 T(x,K(y,z * T(u,w))) = T(x,K(y,z * u)). [para(5480(a,1),13460(a,1,2,2))]. given #12110 (H,wt=18): 13446 K(x,K(y,K(z,u) / w)) != v5 | K(x,K(w,y)) = v5. [para(13436(a,2),5289(a,1))]. given #12111 (H,wt=18): 13454 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(13445(a,1),7904(a,1))]. given #12112 (H,wt=18): 13464 K(x,K(y,z)) != u | K(x,K(y * K(w,v5),z)) = u. [para(6215(a,1),13454(a,1,2,1))]. given #12113 (H,wt=19): 13434 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(7742,a,13429,a),flip(a)]. given #12114 (H,wt=19): 13442 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(5944(a,1),13435(a,1,2,2)),flip(a)]. given #12115 (H,wt=19): 13443 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(5943(a,1),13435(a,1,2,2)),flip(a)]. given #12116 (H,wt=19): 13444 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(6504(a,1),13435(a,1,2,2)),flip(a)]. given #12117 (H,wt=19): 13448 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5113(a,1),13438(a,1,2,2))]. given #12118 (H,wt=19): 13450 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(9123(a,1),13438(a,1,2,2))]. given #12119 (H,wt=19): 13458 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(199,a,13452,a,b,13453,a)]. given #12120 (H,wt=19): 13459 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(171(a,1),13441(a,1,2,2,2)),flip(a)]. given #12121 (H,wt=19): 13465 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(5888,a,13434,a),flip(a)]. given #12122 (H,wt=21): 13433 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(199,a,12536,a,b,13432,a(flip)),flip(a)]. given #12123 (H,wt=21): 13451 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8231,a,13445,a)]. given #12124 (H,wt=21): 13455 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(8128,a,13452,a)]. given #12125 (H,wt=21): 13470 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1221(a,1),13444(a,1,2,2,1))]. given #12126 (H,wt=21): 13471 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(5431(a,1),13444(a,1,2,2,1))]. given #12127 (H,wt=21): 13474 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(13218,a,13450,a)]. given #12128 (H,wt=19): 13485 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(199,a,13121,a(flip),b,13474,a)]. given #12129 (H,wt=19): 13486 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(7902,a,13485,a)]. given #12130 (H,wt=19): 13487 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [para(4622(a,1),13485(a,1,2,2,1))]. given #12131 (H,wt=19): 13490 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(7317(a,1),13486(a,1,2,2,2)),flip(a)]. given #12132 (H,wt=21): 13480 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(199,a,8121,a,b,13451,a)]. given #12133 (H,wt=21): 13482 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(7105(a,1),13455(a,1,2,2,1))]. given #12134 (H,wt=21): 13484 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(13205,a,13471,a)]. given #12135 (H,wt=21): 13488 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5480(a,1),13485(a,1,2,2,1))]. given #12136 (H,wt=22): 13462 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(199,a,13367,a(flip),b,13456,a(flip))]. given #12137 (H,wt=22): 13473 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(13444(a,2),13205(a,1))]. given #12138 (H,wt=20): 13498 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(5935(a,1),13473(a,1,2,2))]. given #12139 (H,wt=22): 13491 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(199,a,13341,a(flip),b,13487,a)]. given #12140 (H,wt=22): 13493 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(13487(a,1),7902(a,1))]. given #12141 (H,wt=21): 13501 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(13493,a,13488,a)]. given #12142 (H,wt=22): 13500 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(13105(a,1),13473(a,1))]. given #12143 (H,wt=22): 13502 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(7865(a,1),13493(a,1))]. given #12144 (H,wt=22): 13504 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(85(a,1),13500(a,1,2,2,2))]. given #12145 (H,wt=22): 13505 K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. [para(7105(a,1),13500(a,1,2,2,2))]. given #12146 (H,wt=22): 13507 K(x,K(y,((z * u) / z) * w)) != v5 | K(x,K(y,u * w)) = v5. [para(5079(a,2),13505(a,1,2,2))]. given #12147 (H,wt=22): 13508 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(9150(a,1),13505(a,1,2,2))]. given #12148 (H,wt=23): 13424 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(7786,a,13408,a)]. given #12149 (H,wt=22): 13509 K(x,T(y,z / (u \ w))) != v5 | K(x,T(y,z / (w / u))) = v5. [para(13424(a,1),7719(a,1))]. given #12150 (H,wt=23): 13427 T(x,T(((y \ 1) / z) * u,y \ z)) = T(x,u * ((y \ 1) / z)). [para(12455(a,1),13423(a,1,2))]. given #12151 (H,wt=23): 13431 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3387(a,1),13410(a,1,1))]. given #12152 (H,wt=21): 13511 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(199,a,12566,a(flip),b,13431,a(flip))]. given #12153 (H,wt=19): 13512 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(199,a,13433,a(flip),b,13511,a(flip))]. given #12154 (H,wt=23): 13472 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6188(a,1),13444(a,1,2,2,1))]. given #12155 (H,wt=23): 13483 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(171(a,1),13470(a,1,2,2,1,1)),flip(a)]. given #12156 (H,wt=23): 13489 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(5840(a,1),13486(a,1,2,2,2))]. given #12157 (H,wt=23): 13503 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(107(a,1),13501(a,1,2,2,2,1)),flip(a)]. given #12158 (H,wt=23): 13515 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(13205,a,13483,a)]. given #12159 (H,wt=23): 13516 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(199,a,7865,a,b,13489,a)]. given #12160 (H,wt=23): 13517 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(60(a,1),13515(a,1,2,2,2,1,2)),flip(a)]. given #12161 (H,wt=23): 13519 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(13502,a,13516,a)]. given #12162 (H,wt=24): 13481 K(x,K(y,L(K(z,u) / w,v5,v6))) != v7 | K(x,K(y,L(w,v5,v6))) = v7. [para(13451(a,2),8128(a,1))]. given #12163 (H,wt=24): 13499 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(6218(a,1),13473(a,1,2,2,1))]. given #12164 (H,wt=25): 13351 K(x,T(y * (T(z,u) * w),w)) = K(x,(w * T(z,u)) / T(y \ 1,z)). [hyper(12510,a,13292,a)]. given #12165 (H,wt=23): 13521 K(x,T(y * (T(z,u) * w),w)) = K(x,(w * T(z,u)) * T(y,z)). [hyper(199,a,13372,a(flip),b,13351,a)]. given #12166 (H,wt=19): 13522 K(x,T(y * (T(z,y) * u),u)) = K(x,(u * z) * y). [para(6227(a,1),13521(a,2,2))]. given #12167 (H,wt=25): 13360 T(x,y * (T(z,u) \ T(u,u \ w))) = T(x,y * (((u \ w) \ w) / z)). [para(106(a,1),13358(a,2,2,2,1))]. given #12168 (H,wt=23): 13523 T(x,y * (T(z,z \ u) / w)) = T(x,y * (((z \ u) \ u) / w)). [hyper(13359,a,13360,a)]. given #12169 (H,wt=25): 13463 T(T(x,K(y,z * u)),(z \ T(u,w)) * y) = T(x,y * (z \ T(u,w))). [para(13461(a,1),13234(a,1,1))]. given #12170 (H,wt=25): 13469 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(13443(a,2),8116(a,1,1))]. given #12171 (H,wt=26): 13216 T(x,y * (z * K(u,z \ 1))) != w | T(x,K(u,z \ 1) * (y * z)) = w. [para(6705(a,1),13139(a,1,2))]. given #12172 (H,wt=21): 13524 T(x,K(y,z \ 1) * (u * z)) = T(x,u / T(z \ 1,y)). [hyper(13216,a,12388,a)]. given #12173 (H,wt=19): 13525 T(x,y / T(z \ 1,u)) = T(x,K(u,z) * (y * z)). [hyper(13028,a,13524,a),flip(a)]. given #12174 (H,wt=17): 13526 T(x,y / T(z \ 1,u)) = T(x,y * T(z,u)). [hyper(199,a,13192,a(flip),b,13525,a)]. given #12175 (H,wt=17): 13527 T(x,y / T(1 / z,u)) = T(x,y * T(z,u)). [hyper(12644,a,13526,a)]. given #12176 (H,wt=17): 13528 T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). [para(60(a,1),13527(a,1,2,2,1)),flip(a)]. given #12177 (H,wt=26): 13227 K(x,(y / z) * u) * K(x,K(u,z * y)) != w | K(x,u * (y / z)) = w. [para(13224(a,1),9972(a,1,2))]. given #12178 (H,wt=26): 13379 K(x,y / T(z \ 1,u)) != K(x,K(z,y)) * w | K(x,T(z,u) * y) = w. [para(13374(a,1),19(a,1))]. given #12179 (H,wt=26): 13425 K(x,T(y,z / (u \ w))) != K(x,y) * v5 | K(x,K(y,z / (w / u))) = v5. [para(13408(a,1),7781(a,1))]. given #12180 (H,wt=26): 13496 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(199,a,12686,a(flip),b,13462,a(flip)),flip(a)]. given #12181 (H,wt=26): 13506 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(8172(a,1),13500(a,1,2,2,2))]. given #12182 (H,wt=26): 13518 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(13515(a,1),13205(a,1))]. given #12183 (H,wt=26): 13520 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(13519(a,2),13502(a,1))]. given #12184 (H,wt=26): 13529 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4764(a,1),13520(a,1,2,2,2,2))]. given #12185 (H,wt=27): 13083 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(13067(a,1),10724(a,1,2))]. given #12186 (H,wt=27): 13232 x \ T(y * T(x,K(z,u \ w)),K(z,w * u)) = T(y,K(z,u \ w) * x). [hyper(68,a,13229,a(flip),b,13014,a(flip))]. given #12187 (H,wt=27): 13311 T(x,y * (T(z \ u,z) \ K(z,z \ 1))) = T(x,y / (u / ((z \ 1) \ 1))). [para(13211(a,1),12721(a,1,2,2))]. given #12188 (H,wt=25): 13532 T(x,y * ((z / u) \ K(u,u \ 1))) = T(x,y / (z / ((u \ 1) \ 1))). [para(170(a,1),13311(a,1,2,2,1))]. given #12189 (H,wt=23): 13533 T(x,y / (z / ((u \ 1) \ 1))) = T(x,y * ((z / u) \ K(u,1))). [hyper(199,a,11682,a(flip),b,13532,a(flip))]. given #12190 (H,wt=21): 13534 T(x,y / (z / ((u \ 1) \ 1))) = T(x,y * ((z / u) \ 1)). [para(130(a,1),13533(a,2,2,2,2))]. given #12191 (H,wt=22): 13536 T(x,y / (z / ((u \ 1) \ 1))) != w | T(x,y / (z / u)) = w. [para(13534(a,2),12383(a,1))]. given #12192 (H,wt=27): 13338 K(x \ T(y,x * z),(x \ T(y,x * z)) \ z) = K(y / x,y \ (x * z)). [hyper(9837,a,13337,a)]. given #12193 (H,wt=27): 13357 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(13124(a,1),13319(a,1,1,1))]. given #12194 (H,wt=27): 13476 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(199,a,8277,a(flip),b,13458,a(flip))]. given #12195 (H,wt=23): 13539 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(199,a,13480,a(flip),b,13476,a)]. given #12196 (H,wt=20): 13541 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(199,a,8134,a(flip),b,13539,a)]. given #12197 (H,wt=16): 13542 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(13454,a,13541,a)]. given #12198 (H,wt=27): 13494 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(13490(a,1),13238(a,1,1))]. given #12199 (H,wt=19): 13544 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(13240,a,13494,a),flip(a)]. given #12200 (H,wt=21): 13545 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(6218(a,1),13544(a,1,2,2,1))]. given #12201 (H,wt=21): 13546 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(7974,a,13545,a)]. given #12202 (H,wt=23): 13548 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(107(a,1),13546(a,1,2,2,2,2)),flip(a)]. given #12203 (H,wt=26): 13547 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(199,a,8017,a(flip),b,13546,a)]. given #12204 (H,wt=27): 13510 T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u * (((y \ 1) \ 1) / z)). [para(12452(a,1),13427(a,1,2))]. given #12205 (H,wt=27): 13531 x \ T(y * T(x,K(z,u * w)),K(z,u * w)) = T(y,K(z,w \ u) * x). [para(13229(a,1),13232(a,1,2,1,2))]. given #12206 (H,wt=19): 13550 T(x,K(y,z \ u) * w) = T(x,K(y,u * z) * w). [hyper(13017,a,13531,a),flip(a)]. given #12207 (H,wt=21): 13551 x / T(x,K(y,z * u) * w) = K(x,K(y,z / u) * w). [para(13550(a,1),13340(a,1,2))]. given #12208 (H,wt=19): 13552 K(x,K(y,z / u) * w) = K(x,K(y,z * u) * w). [hyper(4765,a,13551,a),flip(a)]. given #12209 (H,wt=19): 13553 K(x,K(y,z \ u) * w) = K(x,K(y,u * z) * w). [hyper(13305,a,13552,a)]. given #12210 (H,wt=19): 13554 K(x,K(y,z \ u) * w) = K(x,K(y,z * u) * w). [hyper(199,a,13339,a(flip),b,13552,a(flip)),flip(a)]. given #12211 (H,wt=21): 13555 K(x,K(y,z * u) * (w * y)) = K(x,w * T(y,z \ u)). [hyper(13182,a,13554,a),flip(a)]. given #12212 (H,wt=19): 13558 K(x,y * T(z,u \ w)) = K(x,y * T(z,u * w)). [hyper(13182,a,13555,a),flip(a)]. given #12213 (H,wt=19): 13560 K(x,(y \ z) * T(u,y * z)) = K(x,u * (y \ z)). [hyper(13207,a,13558,a),flip(a)]. given #12214 (H,wt=21): 13556 K(x,K(y,z * u) * (w \ y)) = K(x,w \ T(y,z \ u)). [hyper(199,a,13203,a(flip),b,13554,a(flip))]. given #12215 (H,wt=19): 13562 K(x,y \ T(z,u \ w)) = K(x,y \ T(z,u * w)). [hyper(199,a,13203,a(flip),b,13556,a(flip))]. given #12216 (H,wt=22): 13559 K(x,y * T(z,u \ w)) != v5 | K(x,y * T(z,u * w)) = v5. [para(13555(a,1),13182(a,1))]. given #12217 (H,wt=22): 13561 K(x,(y \ z) * T(u,y * z)) != w | K(x,u * (y \ z)) = w. [para(13558(a,1),13207(a,1))]. given #12218 (H,wt=27): 13538 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(6246,a,13357,a),flip(a)]. given #12219 (H,wt=27): 13549 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(13546(a,1),4821(a,1,1)),flip(a)]. given #12220 (H,wt=27): 13557 x * (K(y,K(z,u * w) * v5) * (x \ y)) = T(y,T(K(z,u \ w) * v5,x)). [para(13554(a,1),12485(a,1,2,1))]. given #12221 (H,wt=23): 13564 T(x,T(K(y,z \ u) * w,v5)) = T(x,T(K(y,z * u) * w,v5)). [hyper(12490,a,13557,a),flip(a)]. given #12222 (H,wt=25): 13565 T(x,T(K(y,z * 1) * (z \ u),w)) = T(x,T(T(1 / z,y) * u,w)). [hyper(199,a,12656,a(flip),b,13564,a(flip))]. given #12223 (H,wt=23): 13566 T(x,T(T(1 / y,z) * u,w)) = T(x,T(K(z,y) * (y \ u),w)). [para(12(a,1),13565(a,1,2,1,1,2)),flip(a)]. given #12224 (H,wt=21): 13567 T(x,T(T(1 / y,z) * u,w)) = T(x,T(T(y,z) \ u,w)). [para(4961(a,1),13566(a,2,2,1))]. given #12225 (H,wt=25): 13568 T(x,T(((y * (z / y)) \ y) \ u,w)) = T(x,T(T(z \ y,y) \ u,w)). [hyper(199,a,12512,a,b,13567,a(flip)),flip(a)]. given #12226 (H,wt=26): 13569 T(x,T(((y * (z / y)) \ y) \ u,w)) != v5 | T(x,T((y / z) \ u,w)) = v5. [para(13568(a,2),12655(a,1))]. given #12227 (H,wt=27): 13563 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(7084(a,2),13538(a,1,2))]. given #12228 (H,wt=27): 13570 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7198,a,13563,a),flip(a)]. given #12229 (H,wt=28): 13200 (x * (K(y,z) * K(u,w))) * a(x,K(u,w),K(y,z)) = (x * K(u,w)) * K(y,z). [para(13159(a,1),83(a,1,1,2))]. given #12230 (H,wt=28): 13210 K(x,L(y,K(z,u) * x,w)) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(13147(a,1),12918(a,2,1))]. given #12231 (H,wt=26): 13573 K(L(x,K(y,z),u),w) * ((K(y,z) * x) * u) = (K(y,z) * T(x,w)) * u. [para(10437(a,1),13210(a,1,1))]. given #12232 (H,wt=28): 13294 K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. [para(10520(a,1),13277(a,1,2,1))]. given #12233 (H,wt=28): 13342 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7302(a,2),13321(a,1,2))]. given #12234 (H,wt=26): 13574 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7123(a,1),13342(a,1,2))]. given #12235 (H,wt=25): 13575 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(13574(a,1),13347(a,1))]. given #12236 (H,wt=28): 13430 K(x,T(y,z)) * (z * K(u,w)) != K(x,y) * v5 | T(z * K(u,w),K(x,y)) = v5. [para(13410(a,2),155(a,2)),flip(a)]. given #12237 (H,wt=28): 13479 K(x,y) * T(z,K(u,R(w,v5,v6))) != v7 | T(K(x,y) * z,K(w,R(u,v5,v6))) = v7. [para(13465(a,1),8663(a,1))]. given #12238 (H,wt=30): 13118 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(199,a,8433,a,b,13100,a),flip(a)]. given #12239 (H,wt=24): 13576 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(199,a,13445,a(flip),b,13118,a)]. given #12240 (H,wt=24): 13577 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(13123,a,13576,a)]. given #12241 (H,wt=23): 13579 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(199,a,12887,a(flip),b,13577,a(flip))]. given #12242 (H,wt=23): 13580 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(5289,a,13579,a)]. given #12243 (H,wt=19): 13581 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(199,a,13189,a(flip),b,13580,a(flip))]. given #12244 (H,wt=19): 13582 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(63(a,1),13581(a,1,2,2,1,2))]. given #12245 (H,wt=17): 13583 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(199,a,11014,a(flip),b,13582,a(flip))]. given #12246 (H,wt=17): 13584 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(199,a,13459,a(flip),b,13583,a(flip))]. given #12247 (H,wt=17): 13585 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7739,a,13584,a)]. given #12248 (H,wt=17): 13586 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(199,a,7732,a,b,13585,a)]. given #12249 (H,wt=30): 13537 L(K(x \ T(y,x * z),(x \ T(y,x * z)) \ z),z,u) = K(y / x,y \ (x * z)). [hyper(9735,a,13338,a)]. given #12250 (H,wt=30): 13587 L(K(x \ T(y,x * z),(x \ T(y,x * z)) \ z),z,u) = K(x \ y,(x * z) / y). [hyper(199,a,7238,a(flip),b,13537,a)]. given #12251 (H,wt=30): 13588 L(K(x \ T(y,x * z),T(y,x * z) \ (x * z)),z,u) = K(x \ y,(x * z) / y). [para(9736(a,1),13587(a,1,1))]. given #12252 (H,wt=26): 13589 L(K(x \ T(y,x * z),(x * z) / y),z,u) = K(x \ y,(x * z) / y). [para(11521(a,1),13588(a,1,1))]. given #12253 (H,wt=26): 13590 L(K((x * y) / z,x \ T(z,x * y)),y,u) = K(x \ z,(x * y) / z). [hyper(10477,a,13589,a)]. given #12254 (H,wt=22): 13591 L(K((x * y) / z,x \ z),y,u) = K(x \ z,(x * y) / z). [para(13334(a,1),13590(a,1,1))]. given #12255 (H,wt=22): 13592 L(K(x \ y,(x * z) / y),z,u) = K(x \ y,(x * z) / y). [hyper(10477,a,13591,a)]. given #12256 (H,wt=22): 13593 L(K(x \ y,y \ (z * x)),z,u) = K(x \ y,(x * z) / y). [para(9894(a,1),13592(a,1,1))]. given #12257 (H,wt=22): 13594 L(K(x \ y,y \ (z * x)),z,u) = K(x \ y,y \ (z * x)). [hyper(199,a,9894,a(flip),b,13593,a)]. given #12258 (H,wt=22): 13595 K(x \ y,(x * z) / y) != u | K(x \ y,y \ (z * x)) = u. [para(13593(a,1),3860(a,1)),flip(b)]. given #12259 (H,wt=22): 13596 K(x / y,(x / y) \ z) != u | K(y \ x,x \ (z * y)) = u. [para(9871(a,2),13595(a,1))]. given #12260 (H,wt=26): 13597 K(x \ y,((y / x) \ (y \ z)) * y) != u | K(x \ y,y \ (z * x)) = u. [para(9958(a,2),13596(a,1))]. given #12261 (H,wt=19): 13598 K(x \ y,y \ (z * x)) = K(x \ y,(y \ z) * x). [hyper(13597,a,11317,a)]. given #12262 (H,wt=21): 13599 x * K(y \ z,(z \ x) * y) = (z / y) * (x / (z / y)). [para(13598(a,1),9919(a,1,2))]. given #12263 (H,wt=22): 13600 L(K(x \ y,(y \ z) * x),z,u) = K(x \ y,y \ (z * x)). [para(13598(a,1),13594(a,1,1))]. given #12264 (H,wt=22): 13601 L(K(x \ y,(y \ z) * x),z,u) = K(x \ y,(y \ z) * x). [hyper(199,a,13598,a(flip),b,13600,a)]. given #12265 (H,wt=21): 13603 K(x \ y,((x \ 1) \ z) / y) = K(x \ y,(y \ z) * x). [hyper(199,a,12661,a(flip),b,13601,a(flip)),flip(a)]. given #12266 (H,wt=21): 13605 K(x / y,(x * (y \ 1)) \ z) = K(y \ x,(x \ z) * y). [hyper(199,a,12659,a,b,13603,a(flip)),flip(a)]. given #12267 (H,wt=22): 13602 K(x \ y,y \ (z * x)) != u | K(x \ y,(y \ z) * x) = u. [para(13600(a,1),3860(a,1)),flip(b)]. given #12268 (H,wt=31): 13086 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(199,a,12915,a,b,13073,a),flip(a)]. given #12269 (H,wt=31): 13235 x \ T(y * T(x,K(z,u * w)),K(1 / z,u \ w)) = T(y,K(1 / z,u \ w) * x). [para(13233(a,1),13015(a,1,2,1,2))]. given #12270 (H,wt=31): 13312 T(T(x,K(y,z * T(u,w))),(z \ ((u \ w) \ w)) * y) = T(x,y * (z \ ((u \ w) \ w))). [para(11543(a,1),13234(a,1,1,2))]. given #12271 (H,wt=29): 13608 T(T(x,K(y,z * u)),(z \ ((u \ w) \ w)) * y) = T(x,y * (z \ ((u \ w) \ w))). [para(13461(a,1),13312(a,1,1))]. given #12272 (H,wt=27): 13609 T(T(x,K(y,z * u)),(z \ T(u,w)) * y) = T(x,y * (z \ ((u \ w) \ w))). [hyper(11737,a,13608,a)]. given #12273 (H,wt=21): 13611 T(x,y * (z \ ((u \ w) \ w))) = T(x,y * (z \ T(u,w))). [hyper(199,a,13463,a(flip),b,13609,a(flip))]. given #12274 (H,wt=25): 13612 T(x,y * (T(z,T(u,w)) \ T(u,w))) = T(x,y * (T(u,u \ w) / z)). [hyper(199,a,11779,a(flip),b,13611,a(flip))]. given #12275 (H,wt=21): 13613 T(x,y * (T(z,z \ u) / w)) = T(x,y * (T(z,u) / w)). [hyper(199,a,11553,a(flip),b,13612,a(flip))]. given #12276 (H,wt=21): 13614 T(x,y * (((z \ u) \ u) / w)) = T(x,y * (T(z,u) / w)). [hyper(199,a,13523,a(flip),b,13613,a(flip)),flip(a)]. given #12277 (H,wt=25): 13615 T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u * (T(y,1) / z)). [hyper(199,a,13510,a,b,13614,a(flip)),flip(a)]. given #12278 (H,wt=23): 13616 T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u * (y / z)). [para(128(a,1),13615(a,2,2,2,1))]. given #12279 (H,wt=31): 13332 K(x,y * (T(z,u \ 1) \ T((w * u) \ w,v5))) = K(x,y * (T((w * u) \ w,v5) / z)). [para(6138(a,1),13330(a,1,2,2,1))]. given #12280 (H,wt=31): 13571 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(199,a,10323,a,b,13570,a(flip)),flip(a)]. given #12281 (H,wt=31): 13572 x * a(y,K(z,u),K(w,v5)) != (y * K(z,u)) * K(w,v5) | y * (K(w,v5) * K(z,u)) = x. [para(13200(a,1),20(a,1)),flip(a)]. given #12282 (H,wt=31): 13606 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6095(a,1),13086(a,1,2,2))]. given #12283 (H,wt=27): 13619 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6433(a,1),13606(a,1,2)),flip(a)]. given #12284 (H,wt=23): 13620 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(199,a,13,a(flip),b,13619,a)]. given #12285 (H,wt=25): 13621 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5455,a,13620,a),flip(a)]. given #12286 (H,wt=28): 13623 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(13620(a,1),5455(a,1))]. given #12287 (H,wt=31): 13607 x \ T(y * T(x,K(z,u * w)),K(z \ 1,u \ w)) = T(y,K(1 / z,u \ w) * x). [para(3082(a,1),13235(a,1,2,2))]. given #12288 (H,wt=29): 13625 x \ T(y * T(x,K(z,u * w)),K(z,u * w)) = T(y,K(1 / z,u \ w) * x). [para(13233(a,1),13607(a,1,2))]. given #12289 (H,wt=21): 13626 T(x,K(1 / y,z \ u) * w) = T(x,K(y,z * u) * w). [hyper(13017,a,13625,a),flip(a)]. given #12290 (H,wt=21): 13627 T(x,K(y \ 1,z \ u) * w) = T(x,K(y,z * u) * w). [para(3082(a,1),13626(a,1,2,1))]. given #12291 (H,wt=21): 13628 T(x,y * K(z \ 1,u \ w)) = T(x,K(z,u * w) * y). [hyper(13140,a,13627,a)]. given #12292 (H,wt=23): 13629 T(x,T(1 / y,z \ u) * w) = T(x,K(y,z * u) * (y \ w)). [hyper(199,a,13350,a(flip),b,13628,a(flip)),flip(a)]. given #12293 (H,wt=21): 13630 T(x,T(1 / y,z \ u) * w) = T(x,T(y,z * u) \ w). [hyper(199,a,13016,a(flip),b,13629,a)]. given #12294 (H,wt=31): 13617 K(x,y * (T(z,u \ 1) \ ((w * u) \ w))) = K(x,y * (T((w * u) \ w,K(v5,v6)) / z)). [hyper(13326,a,13332,a)]. given #12295 (H,wt=31): 13618 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(6982(a,1),13571(a,1,2,1))]. given #12296 (H,wt=27): 13631 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(13238(a,1),13618(a,1,2,1))]. given #12297 (H,wt=27): 13632 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5030,a,13631,a),flip(a)]. given #12298 (H,wt=27): 13633 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(199,a,13083,a(flip),b,13632,a(flip)),flip(a)]. given #12299 (H,wt=33): 13212 T(x,T((y / ((z \ 1) \ 1)) \ u,T(z,z \ 1) \ y)) = T(x,u / T(T(z,z \ 1) \ y,z)). [para(2909(a,1),13172(a,1,2,1,1))]. given #12300 (H,wt=29): 13634 T(x,T((y / ((z \ 1) \ 1)) \ u,z \ y)) = T(x,u / T(T(z,z \ 1) \ y,z)). [para(4286(a,1),13212(a,1,2))]. given #12301 (H,wt=29): 13635 T(x,T((y / ((z \ 1) \ 1)) \ u,z * y)) = T(x,u / T(T(z,z \ 1) \ y,z)). [hyper(13299,a,13634,a)]. given #12302 (H,wt=27): 13636 T(x,T((y / ((z \ 1) \ 1)) \ u,z * y)) = T(x,u / (y / ((z \ 1) \ 1))). [para(2909(a,1),13635(a,2,2,2))]. given #12303 (H,wt=26): 13637 T(x,T((y / ((z \ 1) \ 1)) \ u,z * y)) != w | T(x,u / (y / z)) = w. [para(13636(a,2),13536(a,1))]. given #12304 (H,wt=33): 13378 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(199,a,13008,a,b,13377,a(flip)),flip(a)]. given #12305 (H,wt=33): 13389 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K((x * L(K(z,u),w,v5)) \ y,v8). [hyper(13179,a,13271,a),flip(a)]. given #12306 (H,wt=33): 13414 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(13396(a,1),12908(a,1))]. given #12307 (H,wt=33): 13492 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(819(a,1),13487(a,1,2,2)),flip(a)]. given #12308 (H,wt=33): 13497 K(x,K(T(R(y,z,u),z),L(w,z * u,v5))) = K(x,K(w,(((z * y) * u) * v5) / (v5 * (z * u)))). [para(684(a,1),13462(a,1,2,1))]. given #12309 (H,wt=31): 13640 K(x,K(y,(((z * u) * w) * v5) / (v5 * (z * w)))) = K(x,K(R(u,z,w),L(y,z * w,v5))). [hyper(13204,a,13497,a),flip(a)]. given #12310 (H,wt=31): 13642 K(x,K(y,(((z * u) * w) * v5) / (v5 * (z * w)))) = K(x,K(L(u,z,w),L(y,z * w,v5))). [para(12897(a,1),13640(a,2,2))]. given #12311 (H,wt=31): 13643 K(x,K(y,(((z * u) * w) * v5) / (v5 * (z * w)))) = K(x,K(u,L(L(y,z * w,v5),z,w))). [hyper(199,a,8125,a(flip),b,13642,a)]. given #12312 (H,wt=33): 13638 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(38(a,1),13378(a,1,2,1,2))]. given #12313 (H,wt=33): 13639 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(199,a,12514,a,b,13492,a)]. given #12314 (H,wt=33): 13645 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(4738(a,1),13638(a,1,2,2))]. given #12315 (H,wt=27): 13647 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(13306(a,1),13645(a,1,2))]. given #12316 (H,wt=27): 13648 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(199,a,9358,a(flip),b,13647,a(flip)),flip(a)]. given #12317 (H,wt=27): 13649 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(13465(a,2),13648(a,1,2))]. given #12318 (H,wt=27): 13650 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(9952(a,1),13649(a,1,2,1))]. given #12319 (H,wt=25): 13651 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(12342(a,1),13650(a,1,2))]. given #12320 (H,wt=25): 13652 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5008(a,1),13651(a,1,2))]. given #12321 (H,wt=21): 13653 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(7984,a,13652,a)]. given #12322 (H,wt=21): 13654 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(199,a,13633,a(flip),b,13653,a(flip)),flip(a)]. given #12323 (H,wt=21): 13655 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5037,a,13654,a),flip(a)]. given #12324 (H,wt=24): 13656 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(13655(a,2),12620(a,2,2)),flip(a)]. given #12325 (H,wt=15): 13657 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(199,a,12427,a(flip),b,13656,a(flip)),flip(a)]. given #12326 (H,wt=33): 13646 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(13101(a,1),13639(a,2,3))]. given #12327 (H,wt=26): 13658 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(199,a,13441,a(flip),b,13646,a(flip)),flip(a)]. given #12328 (H,wt=34): 13418 L(K(x,T(y \ z,y * u)),y,T(T(u,y),w)) = K(x,(T(T(u,y),w) * z) / (T(T(u,y),w) * y)). [para(13401(a,1),10514(a,1,1))]. given #12329 (H,wt=34): 13514 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(745(a,1),13472(a,1,2,2,1,1)),flip(a)]. given #12330 (H,wt=30): 13661 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(13(a,1),13514(a,1,2,2,1,1)),flip(a)]. given #12331 (H,wt=33): 13662 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(13219,a,13661,a)]. given #12332 (H,wt=33): 13664 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(44(a,1),13662(a,1,2,2,2))]. given #12333 (H,wt=34): 13644 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(199,a,13542,a(flip),b,13643,a)]. given #12334 (H,wt=30): 13665 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(13520,a,13644,a)]. given #12335 (H,wt=25): 13666 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(199,a,13491,a(flip),b,13665,a(flip)),flip(a)]. given #12336 (H,wt=21): 13667 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(199,a,13482,a(flip),b,13666,a(flip))]. given #12337 (H,wt=21): 13668 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(10482,a,13667,a)]. given #12338 (H,wt=23): 13670 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(12523(a,1),13667(a,1,2,2,2))]. given #12339 (H,wt=27): 13671 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(199,a,12515,a,b,13668,a)]. given #12340 (H,wt=21): 13672 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(12516,a,13671,a)]. given #12341 (H,wt=21): 13673 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4668(a,1),13672(a,1,2))]. given #12342 (H,wt=21): 13674 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4680(a,1),13672(a,1,2))]. given #12343 (H,wt=25): 13675 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(199,a,11018,a(flip),b,13673,a(flip))]. given #12344 (H,wt=25): 13676 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7716(a,2),13675(a,2,3))]. given #12345 (H,wt=23): 13677 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11014(a,1),13676(a,2,3))]. given #12346 (H,wt=25): 13678 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),13677(a,1,3,2,2))]. given #12347 (H,wt=25): 13679 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7716(a,1),13678(a,1,3))]. given #12348 (H,wt=21): 13680 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),13679(a,2,3,2,2))]. given #12349 (H,wt=21): 13681 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7716(a,1),13680(a,2,3))]. given #12350 (H,wt=21): 13682 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(63(a,1),13681(a,1,2,2))]. given #12351 (H,wt=21): 13683 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7716(a,2),13682(a,1,3))]. given #12352 (H,wt=21): 13684 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7716(a,2),13683(a,2,3))]. given #12353 (H,wt=21): 13685 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(12584,a,13684,a)]. given #12354 (H,wt=21): 13686 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(4738(a,1),13685(a,2,3,2))]. given #12355 (H,wt=35): 13513 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(13512(a,2),8999(a,2,2))]. given #12356 (H,wt=35): 13687 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(8130(a,1),13513(a,1,1))]. given #12357 (H,wt=36): 13320 L(K(x,T((y * z) / u,(1 / z) * u)),u,1 / z) = K(x,(u * (1 / z)) \ T((z * y) * (1 / z),z)). [para(2176(a,2),13063(a,2,2,2))]. given #12358 (H,wt=34): 13688 L(K(x,T((y * z) / u,z \ u)),u,1 / z) = K(x,(u * (1 / z)) \ T((z * y) * (1 / z),z)). [para(12457(a,1),13320(a,1,1,2))]. given #12359 (H,wt=34): 13689 L(K(x,T((y * z) / u,z * u)),u,1 / z) = K(x,(u * (1 / z)) \ T((z * y) * (1 / z),z)). [para(13051(a,1),13688(a,1,1))]. given #12360 (H,wt=32): 13690 L(K(x,T(y,z) \ (z * u)),y,1 / z) = K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)). [para(13317(a,1),13689(a,1,1))]. given #12361 (H,wt=32): 13691 L(K(x,T(y,z) \ (z * u)),y,z \ 1) = K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)). [hyper(3511,a,13690,a)]. given #12362 (H,wt=30): 13692 L(K(x,T(y,z) \ (z * u)),y,z) = K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)). [hyper(12591,a,13691,a)]. given #12363 (H,wt=41): 13624 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(12643(a,1),13621(a,1,1,1,2,1,2))]. given #12364 (H,wt=37): 13693 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(12745(a,1),13624(a,1,1,1))]. given #12365 (H,wt=25): 13694 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(13623,a,13693,a),flip(a)]. given #12366 (H,wt=25): 13695 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(199,a,13408,a,b,13694,a)]. given #12367 (H,wt=25): 13696 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(199,a,13548,a,b,13695,a(flip)),flip(a)]. given #12368 (H,wt=23): 13697 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(13213,a,13696,a),flip(a)]. given #12369 (H,wt=27): 13698 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(13697(a,1),13549(a,2,1))]. given #12370 (H,wt=25): 13699 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(199,a,4821,a(flip),b,13698,a)]. given #12371 (H,wt=35): 13700 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(13699(a,1),2638(a,1,1))]. given #12372 (H,wt=27): 13701 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(199,a,2638,a(flip),b,13700,a(flip))]. given #12373 (H,wt=38): 13702 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(13701(a,1),12839(a,1,1,1)),flip(a)]. given #12374 (H,wt=27): 13703 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(199,a,12839,a(flip),b,13702,a)]. given #12375 (H,wt=27): 13704 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(199,a,7141,a(flip),b,13703,a)]. given #12376 (H,wt=27): 13705 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7382,a,13704,a)]. given #12377 (H,wt=25): 13706 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(199,a,13546,a(flip),b,13705,a(flip)),flip(a)]. given #12378 (H,wt=26): 13707 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(199,a,13547,a(flip),b,13706,a(flip))]. given #12379 (H,wt=21): 13708 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(199,a,8017,a(flip),b,13707,a(flip)),flip(a)]. given #12380 (H,wt=19): 13710 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(104(a,1),13708(a,1,2,2,1,1)),flip(a)]. given #12381 (H,wt=19): 13711 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(199,a,13408,a(flip),b,13710,a(flip)),flip(a)]. given #12382 (H,wt=23): 13712 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(199,a,7713,a,b,13711,a),flip(a)]. given #12383 (H,wt=19): 13713 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,13424,a,b,13712,a),flip(a)]. given #12384 (H,wt=19): 13714 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(7902,a,13713,a)]. given #12385 (H,wt=19): 13715 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(199,a,13459,a(flip),b,13713,a(flip))]. given #12386 (H,wt=19): 13716 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(199,a,13442,a(flip),b,13713,a(flip))]. given #12387 (H,wt=19): 13718 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(13205,a,13716,a)]. given #12388 (H,wt=19): 13719 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),13718(a,1,2,2,2,2)),flip(a)]. given #12389 (H,wt=25): 13717 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(13713(a,1),13469(a,1,1))]. given #12390 (H,wt=25): 13720 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8229,a,13717,a),flip(a)]. given #12391 (H,wt=25): 13722 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(63(a,1),13720(a,1,2,1,2)),flip(a)]. given #12392 (H,wt=25): 13723 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(13206,a,13722,a)]. given #12393 (H,wt=26): 13721 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(199,a,13496,a(flip),b,13720,a(flip))]. given #12394 (H,wt=22): 13724 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),13721(a,2,2,2,2))]. given #12395 (H,wt=22): 13725 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(199,a,13487,a,b,13724,a)]. given #12396 (H,wt=24): 13727 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(12366(a,1),13725(a,1,2))]. given #12397 (H,wt=26): 13726 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(199,a,13723,a(flip),b,13725,a(flip)),flip(a)]. given #12398 (H,wt=25): 13728 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(199,a,13727,a(flip),b,13726,a(flip))]. given #12399 (H,wt=28): 13729 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3683(a,2),13726(a,2,2,2,1))]. given #12400 (H,wt=26): 13730 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(12367(a,1),13729(a,1,2))]. given #12401 (H,wt=23): 13731 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(199,a,13725,a(flip),b,13730,a(flip))]. given #12402 (H,wt=23): 13732 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(199,a,13714,a(flip),b,13731,a(flip)),flip(a)]. given #12403 (H,wt=21): 13733 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(13499,a,13732,a)]. given #12404 (H,wt=21): 13734 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(199,a,13517,a,b,13733,a(flip)),flip(a)]. given #12405 (H,wt=21): 13735 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(199,a,13515,a(flip),b,13733,a(flip))]. given #12406 (H,wt=21): 13737 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(13493,a,13735,a)]. given #12407 (H,wt=23): 13738 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(199,a,13728,a,b,13735,a(flip)),flip(a)]. given #12408 (H,wt=23): 13743 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(13493,a,13738,a)]. given #12409 (H,wt=24): 13740 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(199,a,12955,a,b,13737,a(flip)),flip(a)]. given #12410 (H,wt=22): 13744 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(199,a,12687,a(flip),b,13740,a(flip)),flip(a)]. given #12411 (H,wt=25): 13736 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(13518,a,13734,a)]. given #12412 (H,wt=26): 13739 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(199,a,13190,a(flip),b,13735,a(flip))]. given #12413 (H,wt=33): 13741 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(11580(a,1),13737(a,1,2))]. given #12414 (H,wt=33): 13742 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(12710(a,1),13737(a,1,2,2,2,1)),flip(a)]. given #12415 (H,wt=29): 13746 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(199,a,13743,a(flip),b,13742,a)]. given #12416 (H,wt=23): 13748 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(199,a,13736,a(flip),b,13746,a(flip)),flip(a)]. given #12417 (H,wt=23): 13750 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(199,a,13487,a,b,13748,a(flip)),flip(a)]. given #12418 (H,wt=23): 13751 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(199,a,13503,a(flip),b,13748,a(flip)),flip(a)]. given #12419 (H,wt=23): 13752 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(7902,a,13751,a)]. given #12420 (H,wt=26): 13754 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(199,a,13658,a(flip),b,13752,a(flip))]. given #12421 (H,wt=26): 13755 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(13187,a,13754,a)]. given #12422 (H,wt=27): 13753 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(105(a,1),13751(a,1,2,2,2)),flip(a)]. given #12423 (H,wt=23): 13759 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(13499,a,13753,a),flip(a)]. given #12424 (H,wt=23): 13760 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(13529,a,13759,a)]. given #12425 (H,wt=25): 13761 K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(13760(a,1),13575(a,1))]. given #12426 (H,wt=28): 13758 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),13755(a,1,2,2,2,2))]. given #12427 (H,wt=29): 13757 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(13754(a,1),7739(a,1))]. given #12428 (H,wt=30): 13756 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(199,a,12582,a,b,13754,a)]. given #12429 (H,wt=26): 13762 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),13756(a,2,2))]. given #12430 (H,wt=35): 13745 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(13309(a,1),13741(a,1,2)),flip(a)]. given #12431 (H,wt=33): 13763 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(199,a,7863,a(flip),b,13745,a)]. given #12432 (H,wt=21): 13764 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(199,a,13718,a(flip),b,13763,a(flip))]. given #12433 (H,wt=21): 13766 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(199,a,13714,a(flip),b,13764,a)]. given #12434 (H,wt=21): 13767 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(13504,a,13766,a)]. given #12435 (H,wt=24): 13768 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(176(a,1),13766(a,1,2,2,2))]. given #12436 (H,wt=20): 13769 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(199,a,13448,a(flip),b,13768,a)]. given #12437 (H,wt=28): 13771 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(199,a,13664,a(flip),b,13769,a(flip))]. given #12438 (H,wt=25): 13773 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(101(a,1),13771(a,1,2,2)),flip(a)]. given #12439 (H,wt=25): 13774 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(13508,a,13773,a)]. given #12440 (H,wt=27): 13775 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(13498,a,13774,a),flip(a)]. given #12441 (H,wt=25): 13777 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(13498,a,13775,a),flip(a)]. given #12442 (H,wt=24): 13780 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(199,a,13739,a(flip),b,13777,a(flip))]. given #12443 (H,wt=25): 13778 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(13506,a,13777,a),flip(a)]. given #12444 (H,wt=25): 13779 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(13504,a,13777,a)]. given #12445 (H,wt=27): 13776 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(13243,a,13774,a)]. given #12446 (H,wt=25): 13783 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(199,a,11008,a(flip),b,13776,a)]. given #12447 (H,wt=25): 13784 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(199,a,13750,a(flip),b,13783,a)]. given #12448 (H,wt=25): 13785 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(7902,a,13784,a)]. given #12449 (H,wt=27): 13782 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(199,a,13484,a(flip),b,13778,a)]. given #12450 (H,wt=25): 13787 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(5960(a,1),13782(a,1,2,2,2))]. given #12451 (H,wt=21): 13788 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(13500,a,13787,a)]. given #12452 (H,wt=28): 13781 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(199,a,13767,a(flip),b,13780,a(flip)),flip(a)]. given #12453 (H,wt=26): 13789 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(199,a,13788,a(flip),b,13781,a(flip)),flip(a)]. given #12454 (H,wt=21): 13790 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(13761,a,13789,a),flip(a)]. given #12455 (H,wt=19): 13791 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(199,a,12568,a(flip),b,13790,a(flip)),flip(a)]. given #12456 (H,wt=21): 13792 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(199,a,13670,a,b,13791,a(flip)),flip(a)]. given #12457 (H,wt=28): 13786 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(12252(a,1),13785(a,1,2)),flip(a)]. given #12458 (H,wt=28): 13794 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(199,a,12288,a,b,13786,a)]. given #12459 (H,wt=31): 13793 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(13792(a,1),13687(a,1,1)),flip(a)]. given #12460 (H,wt=31): 13795 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)). [hyper(199,a,4745,a,b,13793,a)]. given #12461 (H,wt=29): 13797 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(199,a,10616,a(flip),b,13795,a)]. given #12462 (H,wt=27): 13798 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(8999(a,1),13797(a,2,1))]. given #12463 (H,wt=25): 13799 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(199,a,12629,a(flip),b,13798,a)]. given #12464 (H,wt=25): 13800 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(13512(a,1),13799(a,1,2))]. given #12465 (H,wt=25): 13801 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(4738(a,1),13800(a,1,3))]. given #12466 (H,wt=21): 13802 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(10508,a,13801,a)]. given #12467 (H,wt=19): 13803 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(133(a,1),13802(a,1,2,1))]. given #12468 (H,wt=19): 13805 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(199,a,13686,a(flip),b,13803,a(flip)),flip(a)]. given #12469 (H,wt=19): 13806 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(199,a,12470,a,b,13805,a)]. given #12470 (H,wt=26): 13804 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(199,a,13794,a,b,13803,a(flip)),flip(a)]. given #12471 (H,wt=26): 13807 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7716(a,1),13804(a,2,3))]. given #12472 (H,wt=42): 13132 (x * (y * K(z,K(u,w)))) \ (x * (y * (v5 * K(z,K(u,w))))) != v6 | L(L(v5,K(z,K(u,w)),y),y * K(z,K(u,w)),x) = v6. [para(13103(a,1),719(a,1,2,2,2))]. given #12473 (H,wt=46): 13808 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(5407(a,1),13807(a,1,2,2,2,1))]. given #12474 (H,wt=42): 13809 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(6653(a,1),13808(a,1,2))]. given #12475 (H,wt=40): 13810 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(12377(a,1),13809(a,1,2))]. given #12476 (H,wt=40): 13811 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(6291(a,1),13810(a,1,2,2,1))]. given #12477 (H,wt=38): 13812 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(199,a,13779,a(flip),b,13811,a(flip)),flip(a)]. given #12478 (H,wt=32): 13813 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(13473,a,13812,a)]. given #12479 (H,wt=30): 13814 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(6263(a,1),13813(a,2,3,2))]. given #12480 (H,wt=24): 13815 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(13435(a,1),13814(a,2,3))]. given #12481 (H,wt=21): 13816 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(199,a,13758,a(flip),b,13815,a(flip)),flip(a)]. given #12482 (H,wt=25): 13818 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(60(a,1),13816(a,1,3,2,1))]. given #12483 (H,wt=25): 13819 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(13719(a,1),13818(a,1,3))]. given #12484 (H,wt=25): 13820 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7732(a,1),13819(a,1,3))]. given #12485 (H,wt=23): 13821 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(13586(a,1),13820(a,1,3))]. given #12486 (H,wt=21): 13822 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(12559,a,13821,a),flip(a)]. given #12487 (H,wt=21): 13823 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(4738(a,1),13822(a,1,3,2))]. given #12488 (H,wt=21): 13824 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(199,a,13674,a,b,13823,a(flip)),flip(a)]. given #12489 (H,wt=19): 13825 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(199,a,13806,a(flip),b,13824,a(flip))]. given #12490 (H,wt=19): 13826 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7732(a,1),13825(a,2,3))]. given #12491 (H,wt=24): 13827 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(13757,a,13826,a)]. given #12492 (H,wt=24): 13828 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7716(a,2),13827(a,2,3))]. given #12493 (H,wt=19): 13829 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(199,a,13762,a(flip),b,13828,a(flip)),flip(a)]. given #12494 (H,wt=19): 13830 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(7865(a,1),13829(a,1,3))]. given #12495 (H,wt=19): 13831 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(4738(a,1),13830(a,2,3,2))]. given #12496 (H,wt=17): 13832 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(199,a,13826,a(flip),b,13831,a(flip))]. given #12497 (H,wt=23): 13833 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(13832(a,1),12475(a,1,1))]. given #12498 (H,wt=23): 13834 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7732(a,1),13833(a,1,2))]. given #12499 (H,wt=17): 13835 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(12680,a,13834,a),flip(a)]. given #12500 (H,wt=17): 13836 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8230,a,13835,a)]. given #12501 (H,wt=22): 13837 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(199,a,13744,a(flip),b,13836,a)]. given #12502 (H,wt=19): 13840 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(199,a,13724,a(flip),b,13837,a(flip)),flip(a)]. given #12503 (H,wt=26): 13839 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6474(a,1),13836(a,1,2)),flip(a)]. given #12504 (H,wt=27): 13841 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(13839(a,2),7868(a,1))]. given #12505 (H,wt=35): 13838 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(651(a,1),13836(a,1,2,2)),flip(a)]. given #12506 (H,wt=35): 13842 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(199,a,13100,a,b,13838,a)]. given #12507 (H,wt=35): 13843 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(199,a,13840,a(flip),b,13842,a)]. given #12508 (H,wt=31): 13844 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(199,a,13715,a(flip),b,13843,a)]. given #12509 (H,wt=30): 13847 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(7299(a,1),13844(a,2,2))]. given #12510 (H,wt=26): 13848 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(199,a,13094,a(flip),b,13847,a)]. given #12511 (H,wt=22): 13851 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(199,a,12687,a(flip),b,13848,a(flip)),flip(a)]. given #12512 (H,wt=19): 13852 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(13841,a,13851,a),flip(a)]. given #12513 (H,wt=16): 13855 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6393(a,1),13852(a,1,2)),flip(a)]. given #12514 (H,wt=14): 13857 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(199,a,7863,a(flip),b,13855,a)]. given #12515 (H,wt=14): 13863 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(10476,a,13857,a)]. given #12516 (H,wt=10): 13876 a(x,y,K(z,K(u,w))) = 1. [hyper(67,a,13863,a,b,8998,a),flip(a)]. given #12517 (H,wt=10): 13879 a(K(x,y),z,K(u,w)) = 1. [hyper(67,a,13863,a(flip),b,12477,a),flip(a)]. given #12518 (H,wt=10): 13883 K(x,K(y,a(z,u,w))) = 1. [hyper(199,a,12514,a(flip),b,13876,a(flip)),flip(a)]. given #12519 (H,wt=10): 13895 T(x,K(y,a(z,u,w))) = x. [hyper(37,a,13883,a)]. given #12520 (H,wt=10): 13897 T(x,K(a(y,z,u),w)) = x. [hyper(7888,a,13895,a)]. given #12521 (H,wt=10): 13902 T(x,a(y,z,K(u,w))) = x. [para(12050(a,2),13895(a,1,2))]. given #12522 (H,wt=12): 13884 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(33,a,13879,a)]. given #12523 (H,wt=12): 13896 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(8414,a,13895,a)]. given #12524 (H,wt=12): 13898 T(x,T(y,a(z,u,w))) = T(x,y). [hyper(6897,a,13895,a)]. given #12525 (H,wt=12): 13910 L(K(x,y),z,K(u,w)) = K(y,x). [hyper(10477,a,13884,a)]. given #12526 (H,wt=12): 13911 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(10461,a,13884,a)]. given #12527 (H,wt=12): 13912 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(10456,a,13884,a)]. given #12528 (H,wt=15): 13925 L(K(x,y),z,K(u,w)) != v5 | K(x,y) = v5. [para(13910(a,2),4862(a,1))]. given #12529 (H,wt=15): 13931 K(x,L(y,z,L(K(u,w),v5,v6))) = K(x,y). [para(5573(a,1),13912(a,1,2,3))]. given #12530 (H,wt=16): 13926 L(x,y,K(z,u)) != w | L(x,y,K(u,z)) = w. [para(13910(a,1),11401(a,1,3))]. given #12531 (H,wt=17): 13860 K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. [para(13855(a,2),7868(a,1))]. given #12532 (H,wt=17): 13861 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,y)) = v5. [para(13855(a,2),7875(a,1))]. given #12533 (H,wt=17): 13870 K(x,K(y,L(z,u,w))) != v5 | K(y,K(x,z)) = v5. [para(13857(a,2),7739(a,1))]. given #12534 (H,wt=17): 13878 K(x,K(y,z * (u \ y))) = K(x,K(y,u \ z)). [hyper(199,a,13122,a(flip),b,13863,a(flip)),flip(a)]. given #12535 (H,wt=17): 13906 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(2178,a,13902,a),flip(a)]. given #12536 (H,wt=17): 13922 K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). [para(13896(a,1),7105(a,1,2)),flip(a)]. given #12537 (H,wt=17): 13935 T(x,L(y,z,L(K(u,w),v5,v6))) = x * K(x,y). [para(13931(a,1),4652(a,2,2))]. given #12538 (H,wt=15): 13948 T(x,L(y,z,L(K(u,w),v5,v6))) = T(x,y). [hyper(199,a,4652,a,b,13935,a)]. given #12539 (H,wt=12): 13949 T(x,L(y,z,K(u,w))) = T(x,y). [para(281(a,1),13948(a,1,2,3))]. given #12540 (H,wt=17): 13937 K(x,K(y,(z \ y) * u)) = K(x,K(y,z \ u)). [hyper(13205,a,13878,a)]. given #12541 (H,wt=17): 13940 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(199,a,12292,a,b,13906,a)]. given #12542 (H,wt=17): 13943 a(x,y,K(z,u)) * w = w * a(z,y,K(x,u)). [para(12274(a,1),13906(a,1,1))]. given #12543 (H,wt=17): 13944 K(x,a(y,z,u)) * w = w * a(x,z,K(y,u)). [para(12276(a,1),13906(a,1,1))]. given #12544 (H,wt=15): 13958 K(x,T(a(y,z,u),w)) = a(x,z,K(y,u)). [hyper(7669,a,13944,a)]. given #12545 (H,wt=15): 13959 a(T(x,y),z,K(u,w)) = K(x,a(u,z,w)). [hyper(7318,a,13944,a),flip(a)]. given #12546 (H,wt=15): 13962 a(T(x,y),z,K(u,w)) = a(w,z,K(u,x)). [hyper(199,a,12294,a,b,13959,a)]. given #12547 (H,wt=15): 13963 a(x,y,K(z,T(u,w))) = a(z,y,K(x,u)). [hyper(12305,a,13962,a)]. given #12548 (H,wt=15): 13966 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [para(4738(a,1),13963(a,2,3))]. given #12549 (H,wt=17): 13952 K(x,K(y,(y / z) * u)) = K(x,K(y,z \ u)). [para(8651(a,2),13937(a,1,2))]. given #12550 (H,wt=17): 13954 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [hyper(9381,a,13940,a)]. given #12551 (H,wt=17): 13955 x / a(y,z,K(u,w)) = a(u,z,K(y,w)) * x. [hyper(199,a,10983,a,b,13940,a),flip(a)]. given #12552 (H,wt=17): 13956 T(T(x,y),L(y,z,u)) = x * a(y,z,K(u,x)). [hyper(199,a,12603,a,b,13940,a(flip)),flip(a)]. given #12553 (H,wt=17): 13964 a(x / y,z,K(u,w)) = a(w,z,K(u,y \ x)). [hyper(199,a,11374,a(flip),b,13962,a(flip)),flip(a)]. given #12554 (H,wt=17): 13967 a(x,y,K(z,u * w)) = a(z,y,K(x,w * u)). [para(9931(a,1),13963(a,1,3))]. given #12555 (H,wt=17): 13970 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [hyper(12413,a,13964,a)]. given #12556 (H,wt=17): 13972 a(x * y,z,K(u,w)) = a(u,z,K(w,y * x)). [hyper(12413,a,13967,a)]. given #12557 (H,wt=18): 13869 T(K(x,y),L(z,u,w)) = K(x,y) * K(x,K(y,z)). [para(13857(a,1),7711(a,1,2)),flip(a)]. given #12558 (H,wt=14): 13974 T(K(x,y),L(z,u,w)) = T(K(x,y),z). [hyper(199,a,7711,a(flip),b,13869,a)]. given #12559 (H,wt=14): 13975 K(x,T(y,L(z,u,w))) = T(K(x,y),z). [hyper(7132,a,13974,a)]. given #12560 (H,wt=14): 13976 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [hyper(199,a,7084,a,b,13975,a)]. given #12561 (H,wt=18): 13933 L(K(x,y),z,L(K(u,w),v5,v6)) != v7 | K(x,y) = v7. [para(5573(a,1),13925(a,1,3))]. given #12562 (H,wt=19): 13871 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(13857(a,1),8122(a,1,2))]. given #12563 (H,wt=19): 13874 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(13857(a,1),13127(a,1,1))]. given #12564 (H,wt=19): 13880 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(13863(a,1),12903(a,1,1)),flip(a)]. given #12565 (H,wt=10): 13987 L(x,y,K(z,K(u,w))) = x. [hyper(4498,a,13880,a)]. given #12566 (H,wt=19): 13913 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(199,a,6373,a(flip),b,13884,a(flip))]. given #12567 (H,wt=19): 13923 x * (a(y,z,u) * K(x,w)) = T(x,w) * a(y,z,u). [para(13898(a,1),7265(a,1,1)),flip(a)]. given #12568 (H,wt=19): 13927 K(x,T(K(y,z) * u,w)) = K(x,T(K(z,y) * u,w)). [para(13910(a,1),11632(a,1,2,1,1))]. given #12569 (H,wt=19): 13932 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(5022(a,1),13912(a,1,2))]. given #12570 (H,wt=19): 13957 x * (y * a(x,z,K(u,w))) = T(x,a(w,z,u)) * y. [para(13940(a,1),12053(a,1,2))]. given #12571 (H,wt=19): 13961 a(x,y,K(z,u)) * (w * x) = w * T(x,a(z,y,u)). [para(13958(a,1),7155(a,1,1))]. given #12572 (H,wt=19): 13965 L(K(x,y),z,T(u,w)) = K(x,y) * a(y,z,K(x,u)). [para(13962(a,1),8997(a,1,2)),flip(a)]. given #12573 (H,wt=15): 13997 L(K(x,y),z,T(u,w)) = L(K(x,y),z,u). [hyper(199,a,12297,a(flip),b,13965,a)]. given #12574 (H,wt=18): 13998 L(K(x,y),z,T(u,w)) != v5 | L(K(x,y),z,u) = v5. [para(13965(a,2),12518(a,1))]. given #12575 (H,wt=19): 13973 a(x,y,K(z,u \ (w \ u))) = a(x,y,K(z,w \ 1)). [para(5240(a,1),13970(a,1,3)),flip(a)]. given #12576 (H,wt=17): 14003 a(x,y,K(z,u \ (w \ u))) = a(x,y,K(z,w)). [hyper(199,a,10561,a(flip),b,13973,a)]. given #12577 (H,wt=19): 13983 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(499,a,13874,a)]. given #12578 (H,wt=19): 13985 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(13103(a,2),13874(a,2,2))]. given #12579 (H,wt=19): 13988 (x * K(y,K(z,u))) * w = K(y,K(z,u)) * (x * w). [para(13103(a,1),13880(a,1,1))]. given #12580 (H,wt=19): 13989 (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) * w). [hyper(199,a,5043,a(flip),b,13987,a(flip)),flip(a)]. given #12581 (H,wt=19): 13991 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(199,a,13266,a(flip),b,13913,a(flip)),flip(a)]. given #12582 (H,wt=19): 13995 (x * y) * a(x,z,K(u,w)) = T(x,a(w,z,u)) * y. [hyper(17,a,924,a(flip),b,13957,a)]. given #12583 (H,wt=19): 13996 a(x,y,K(z,u)) * (w * u) = w * T(u,a(x,y,z)). [para(12278(a,2),13961(a,1,1))]. given #12584 (H,wt=19): 14008 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [hyper(199,a,13985,a(flip),b,13988,a)]. given #12585 (H,wt=10): 14014 L(x,K(y,K(z,u)),w) = x. [hyper(391,a,14008,a)]. given #12586 (H,wt=19): 14009 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [hyper(199,a,13983,a(flip),b,13989,a)]. given #12587 (H,wt=19): 14013 a(x,y,K(z,u)) * (z * w) = T(z,a(u,y,x)) * w. [hyper(199,a,13943,a,b,13995,a(flip)),flip(a)]. given #12588 (H,wt=19): 14015 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). [hyper(68,a,56,a(flip),b,14008,a)]. given #12589 (H,wt=19): 14018 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [para(13126(a,2),14015(a,1,1))]. given #12590 (H,wt=17): 14019 K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). [para(14018(a,2),13276(a,1,2))]. given #12591 (H,wt=20): 13908 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(13902(a,1),215(a,1,2))]. given #12592 (H,wt=20): 13953 K(x,K(y,z \ u)) != w | K(x,K(y,u * (z \ y))) = w. [para(13937(a,1),13205(a,1))]. given #12593 (H,wt=20): 14002 L(K(x,y),z,u / w) != v5 | L(K(x,y),z,w \ u) = v5. [para(170(a,1),13998(a,1,3))]. given #12594 (H,wt=20): 14022 a(x,y,K(z,u)) * w != v5 | w * a(z,y,K(x,u)) = v5. [para(12274(a,1),13908(a,1,1))]. given #12595 (H,wt=20): 14023 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(13940(a,1),13908(a,1))]. given #12596 (H,wt=18): 14026 T(x,a(y,z,u)) != w | x * a(y,z,K(x,u)) = w. [para(12301(a,1),14023(a,1))]. given #12597 (H,wt=20): 14025 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(12278(a,2),14023(a,1,2))]. given #12598 (H,wt=18): 14027 T(x,a(y,z,u)) != w | x * a(x,z,K(u,y)) = w. [para(12052(a,1),14025(a,1))]. given #12599 (H,wt=21): 13941 x * (a(y,z,K(u,w)) * v5) = x * (v5 * a(y,z,K(u,w))). [hyper(21,a,13906,a)]. given #12600 (H,wt=21): 13971 K(x,y) * a(x,z,K(y,u \ w)) = L(K(x,y),z,w / u). [para(13964(a,1),8988(a,1,2))]. given #12601 (H,wt=21): 14001 L(K(x,y),(z * (u / z)) * w,u) = L(K(x,y),w,T(u,z)). [hyper(199,a,12662,a(flip),b,13997,a(flip))]. given #12602 (H,wt=21): 14004 a(x,y,K(z,u \ K(w,v5))) = a(x,y,K(z,u * K(w,v5))). [para(6242(a,1),14003(a,1,3,2,2))]. given #12603 (H,wt=21): 14012 (x * y) * a(x,z,K(u,w)) = x * (y * a(x,z,K(u,w))). [hyper(199,a,13957,a,b,13995,a)]. given #12604 (H,wt=21): 14020 K(x,(T(y,z) * (T(y,T(z,u)) \ w)) \ v5) = K(x,w \ v5). [para(9521(a,2),14019(a,1,2,1))]. given #12605 (H,wt=21): 14029 L(K(x,y),K(z,z \ u) * w,u) = L(K(x,y),w,T(u,z)). [hyper(199,a,12576,a,b,14001,a(flip)),flip(a)]. given #12606 (H,wt=21): 14031 K(x,(K(y,z) * (K(y,T(z,u)) * w)) \ v5) = K(x,w \ v5). [para(5105(a,2),14020(a,1,2,1))]. given #12607 (H,wt=22): 13915 (K(x,y) * z) * K(u,w) != v5 | K(x,y) * (z * K(u,w)) = v5. [para(13884(a,1),218(a,1,2))]. given #12608 (H,wt=22): 13936 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(z / w) * u)) = v5. [para(13725(a,1),13861(a,1))]. given #12609 (H,wt=22): 13977 K(x,T(y * (T(z,y) * u),u)) = K(x,L(u,z,y) * (z * y)). [hyper(10009,a,13976,a),flip(a)]. given #12610 (H,wt=18): 14034 K(x,L(y,z,u) * (z * u)) = K(x,(y * z) * u). [hyper(199,a,13522,a(flip),b,13977,a(flip))]. given #12611 (H,wt=22): 13994 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (w * K(z,y))) = v5. [para(13932(a,2),13296(a,1))]. given #12612 (H,wt=22): 14030 x \ ((x * y) * K(z,u)) = (y * K(z,u)) * a(x,y,K(z,u)). [hyper(498,a,14012,a)]. given #12613 (H,wt=22): 14032 L(K(x,y),K(z,z \ u) * w,u) != v5 | L(K(x,y),w,u) = v5. [para(14029(a,2),13998(a,1))]. given #12614 (H,wt=23): 13903 x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). [para(13895(a,1),13008(a,1,2,1,2))]. given #12615 (H,wt=16): 14036 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(13897(a,1),13903(a,1,2)),flip(a)]. given #12616 (H,wt=14): 14037 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(199,a,32,a,b,14036,a)]. given #12617 (H,wt=14): 14039 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(12050(a,2),14037(a,1,2,1))]. given #12618 (H,wt=14): 14040 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(13944(a,1),14037(a,1,2))]. given #12619 (H,wt=14): 14042 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [para(8986(a,1),14039(a,1,2)),flip(a)]. given #12620 (H,wt=16): 14041 K(a(x,y,K(z,u)) * w,v5) = T(v5,w) / v5. [hyper(69,a,14039,a(flip),b,4736,a(flip)),flip(a)]. given #12621 (H,wt=14): 14048 K(a(x,y,K(z,u)) * w,v5) = K(v5,w). [hyper(199,a,4644,a,b,14041,a)]. given #12622 (H,wt=14): 14049 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [hyper(4862,a,14048,a)]. given #12623 (H,wt=14): 14051 K(x,y * a(z,u,K(w,v5))) = K(x,y). [para(13906(a,1),14049(a,1,2))]. given #12624 (H,wt=14): 14052 K(x,y / a(z,u,K(w,v5))) = K(x,y). [para(13955(a,2),14049(a,1,2))]. given #12625 (H,wt=18): 14043 T(x,L(K(y,z),u,w) * v5) = T(x,K(y,z) * v5). [para(9003(a,1),14039(a,1,2)),flip(a)]. given #12626 (H,wt=18): 14053 K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. [para(14051(a,1),6232(a,1,1,2)),flip(a)]. given #12627 (H,wt=14): 14057 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(199,a,6232,a(flip),b,14053,a)]. given #12628 (H,wt=18): 14054 K(x,y * L(K(z,u),w,v5)) = K(x,y * K(z,u)). [para(8995(a,1),14051(a,1,2))]. given #12629 (H,wt=18): 14056 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [para(6381(a,1),14043(a,1,2,1))]. given #12630 (H,wt=18): 14058 K(x,y * L(K(z,u),w,v5)) = K(x,K(z,u) * y). [hyper(199,a,13177,a,b,14054,a)]. given #12631 (H,wt=18): 14059 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(13140,a,14056,a)]. given #12632 (H,wt=19): 14050 K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). [para(12695(a,1),14049(a,1,2))]. given #12633 (H,wt=19): 14061 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [para(92(a,1),14058(a,1,2)),flip(a)]. given #12634 (H,wt=19): 14066 K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). [hyper(199,a,13284,a,b,14061,a)]. given #12635 (H,wt=20): 14060 K(x,y * L(K(z,u),w,v5)) = x / T(x,K(z,u) * y). [hyper(199,a,4744,a(flip),b,14058,a)]. given #12636 (H,wt=20): 14063 K(x * K(L(y,z,u),w),v5) = v5 / T(v5,K(y,w) * x). [para(14059(a,1),4596(a,2,2))]. given #12637 (H,wt=18): 14070 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [hyper(199,a,4596,a,b,14063,a)]. given #12638 (H,wt=18): 14071 K(x * L(K(y,z),u,w),v5) = K(K(y,z) * x,v5). [para(6379(a,1),14070(a,1,1,2))]. given #12639 (H,wt=21): 14046 T(x,K(y,z)) * L(K(y,z),u,w) = L(K(y,z),u,w) * x. [para(14042(a,1),166(a,1,1))]. given #12640 (H,wt=21): 14062 K(x,y * (T(z,y) * K(u,w))) = K(x,K(u,w) * (z * y)). [para(399(a,1),14058(a,1,2))]. given #12641 (H,wt=21): 14067 K(x,K(y,z) * (u * (w / y))) = K(x,u * (w / T(y,z))). [para(6235(a,1),14061(a,2,2,2))]. given #12642 (H,wt=21): 14068 K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z) \ w)). [para(5074(a,1),14066(a,2,2,2))]. given #12643 (H,wt=22): 14065 K(x,y * (z * K(u,w))) != v5 | K(x,K(u,w) * (y * z)) = v5. [para(14050(a,1),13181(a,1))]. given #12644 (H,wt=23): 13951 T(x,L(y,z,K(u,w)) \ T(v5,y)) = T(x,v5 / L(y,z,K(u,w))). [para(13949(a,1),11510(a,1,2,2))]. given #12645 (H,wt=23): 14005 x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). [para(13874(a,1),13983(a,1,2))]. given #12646 (H,wt=23): 14010 K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). [hyper(199,a,13348,a,b,13991,a(flip)),flip(a)]. given #12647 (H,wt=23): 14017 (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). [para(13985(a,1),14009(a,1,1))]. given #12648 (H,wt=23): 14024 L(K(x,K(y,z \ u)),w,v5) != v6 | K(x,K(y,u * (z \ y))) = v6. [para(13863(a,2),13953(a,1))]. given #12649 (H,wt=23): 14035 K(x,((y \ (z \ u)) * y) * z) = K(x,((z * y) \ u) * (y * z)). [para(198(a,1),14034(a,1,2,1)),flip(a)]. given #12650 (H,wt=23): 14069 K(x,y * L(K(z,u),w,v5)) = x / T(x,L(K(z,u),v6,v7) * y). [para(14043(a,2),14060(a,2,2))]. given #12651 (H,wt=21): 14076 K(x,L(K(y,z),u,w) * v5) = K(x,v5 * L(K(y,z),v6,v7)). [hyper(199,a,4744,a,b,14069,a),flip(a)]. given #12652 (H,wt=22): 14077 K(x,(y * z) * L(K(u,w),v5,v6)) = K(x,(K(u,w) * y) * z). [hyper(199,a,14034,a(flip),b,14076,a(flip))]. given #12653 (H,wt=19): 14078 K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). [para(92(a,1),14077(a,1,2)),flip(a)]. given #12654 (H,wt=19): 14079 K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). [hyper(13281,a,14078,a)]. given #12655 (H,wt=21): 14080 K(x,(y / z) * (u * K(z,w))) = K(x,(y / T(z,w)) * u). [para(6235(a,1),14079(a,1,2,1)),flip(a)]. given #12656 (H,wt=21): 14081 K(x,K(y,z) * ((u / y) * w)) = K(x,(u / T(y,z)) * w). [hyper(14065,a,14080,a)]. given #12657 (H,wt=23): 14073 K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z \ 1) \ w)). [hyper(11648,a,14068,a)]. given #12658 (H,wt=21): 14084 K(x,y * (T(z,u \ 1) \ w)) = K(x,y * (T(z,u) \ w)). [hyper(199,a,14068,a(flip),b,14073,a(flip))]. given #12659 (H,wt=23): 14075 K(x,T(K(y,z) * u,y * z)) = K(x,((y \ (z \ u)) * y) * z). [hyper(199,a,9941,a,b,14035,a),flip(a)]. given #12660 (H,wt=21): 14086 K(x,T(K(y,z) * u,y * z)) = K(x,T(z \ u,y) * z). [hyper(199,a,11587,a(flip),b,14075,a)]. given #12661 (H,wt=21): 14087 K(x,T(K(y,z) * u,y * z)) = K(x,z * T(u / z,y)). [hyper(199,a,11678,a(flip),b,14086,a)]. given #12662 (H,wt=24): 13999 L(K(x,T(y / z,u)),z,T(z \ u,w)) = K(x,u \ (y * (z \ u))). [hyper(199,a,12894,a(flip),b,13997,a)]. given #12663 (H,wt=24): 14021 a(x,y,K(z,u \ y)) * w != v5 | w * a(x,u,K(z,u \ y)) = v5. [para(10493(a,2),13908(a,1,1))]. given #12664 (H,wt=25): 13916 (K(x,y) * z) * L(K(u,w),v5,v6) = K(x,y) * (z * L(K(u,w),v5,v6)). [para(13884(a,1),398(a,1,2,1))]. given #12665 (H,wt=25): 13918 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(13884(a,1),12905(a,1,1,1)),flip(a)]. given #12666 (H,wt=25): 13928 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(13414,a,13911,a)]. given #12667 (H,wt=23): 14089 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(199,a,7191,a(flip),b,13928,a)]. given #12668 (H,wt=22): 14090 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(14089(a,2),7168(a,1))]. given #12669 (H,wt=25): 13934 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [para(409(a,1),13931(a,1,2)),flip(a)]. given #12670 (H,wt=25): 14082 K(x,(y / T(z,u)) * T(w,y / z)) = K(x,K(z,u) * (w * (y / z))). [hyper(199,a,14062,a(flip),b,14080,a(flip))]. given #12671 (H,wt=23): 14093 K(x,(y / T(z,u)) * T(w,y / z)) = K(x,w * (y / T(z,u))). [hyper(199,a,14067,a(flip),b,14082,a)]. given #12672 (H,wt=23): 14094 K(x,(y / T(z,u)) * T(w,z \ y)) = K(x,w * (y / T(z,u))). [hyper(199,a,13287,a(flip),b,14093,a(flip)),flip(a)]. given #12673 (H,wt=23): 14095 K(x,(y / T(z,u)) * T(w,z * y)) = K(x,w * (y / T(z,u))). [hyper(13559,a,14094,a)]. given #12674 (H,wt=25): 14083 K(x,K(y,z * u) * ((w / y) * v5)) = K(x,(w / T(y,u \ z)) * v5). [hyper(199,a,13553,a(flip),b,14081,a(flip)),flip(a)]. given #12675 (H,wt=25): 14092 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(5771(a,1),13934(a,1,2,1))]. given #12676 (H,wt=25): 14096 K(x,K(y,z * u) * (((u \ z) / y) * w)) = K(x,(y \ (u \ z)) * w). [hyper(199,a,11696,a(flip),b,14083,a)]. given #12677 (H,wt=23): 14099 K(x,((y \ z) / T(u,z * y)) * w) = K(x,(u \ (y \ z)) * w). [hyper(199,a,14081,a(flip),b,14096,a(flip)),flip(a)]. given #12678 (H,wt=25): 14097 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(13294,a,14092,a)]. given #12679 (H,wt=26): 13993 K(x,T(K(y,z) * u,w * v5)) != v6 | K(x,T(K(z,y) * u,v5 * w)) = v6. [para(13927(a,1),13091(a,1))]. given #12680 (H,wt=21): 14103 K(x,T(K(y,z) * u,y * z)) = K(x,y * T(u / y,z)). [hyper(13993,a,14087,a)]. given #12681 (H,wt=23): 14104 K(x,y * T((T(y,z) * u) / y,z)) = K(x,T(y * u,y * z)). [para(4976(a,1),14103(a,1,2,1)),flip(a)]. given #12682 (H,wt=23): 14105 K(x,y * T(T(K(y,z) * u,y),z)) = K(x,T(y * u,y * z)). [para(4903(a,1),14104(a,1,2,2,1))]. given #12683 (H,wt=21): 14106 K(x,T(K(y,z) * u,z) * y) = K(x,T(y * u,y * z)). [para(163(a,1),14105(a,1,2))]. given #12684 (H,wt=21): 14107 K(x,K(y,z) * (T(u,z) * y)) = K(x,T(y * u,y * z)). [para(7451(a,1),14106(a,1,2))]. given #12685 (H,wt=19): 14108 K(x,T(y * z,y * u)) = K(x,T(z,u) * T(y,u)). [hyper(13182,a,14107,a),flip(a)]. given #12686 (H,wt=21): 14109 K(x,T(y,z * u) * T(z,z * u)) = K(x,T(z * y,u)). [hyper(199,a,13055,a(flip),b,14108,a(flip))]. given #12687 (H,wt=19): 14110 K(x,T(y,z * u) * T(z,u)) = K(x,T(z * y,u)). [hyper(11585,a,14109,a)]. given #12688 (H,wt=23): 14111 K(x,T(y,T(z,y) * u) * T(T(z,y),u)) = K(x,T(y * z,u)). [hyper(199,a,13195,a(flip),b,14110,a)]. given #12689 (H,wt=21): 14112 K(x,T(y,z * u) * T(T(z,y),u)) = K(x,T(y * z,u)). [para(6837(a,1),14111(a,1,2,1))]. given #12690 (H,wt=21): 14113 K(x,K(y,z * u) * (T(z,u) * y)) = K(x,T(y * z,u)). [para(5000(a,2),14112(a,1,2))]. given #12691 (H,wt=19): 14114 K(x,T(y,z) * T(u,y * z)) = K(x,T(u * y,z)). [hyper(13182,a,14113,a)]. given #12692 (H,wt=26): 14074 (x * y) \ (x * ((y * z) * K(u,K(w,v5)))) = L(z,y,x) * K(u,K(w,v5)). [para(28(a,2),14005(a,2,1))]. given #12693 (H,wt=26): 14115 (x * y) \ (x * (y * (z * K(u,K(w,v5))))) = L(z,y,x) * K(u,K(w,v5)). [para(13871(a,1),14074(a,1,2,2))]. given #12694 (H,wt=21): 14116 L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). [hyper(403,a,14115,a)]. given #12695 (H,wt=21): 14117 L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). [hyper(199,a,13103,a,b,14116,a)]. given #12696 (H,wt=21): 14120 K(x,K(y,z)) * L(K(x,z),u,w) = L(K(x,T(z,y)),u,w). [para(7750(a,1),14117(a,1,1)),flip(a)]. given #12697 (H,wt=24): 14119 L(x * K(y,K(z,u)),w,v5) != K(y,K(z,u)) * v6 | L(x,w,v5) = v6. [para(14117(a,2),19(a,1))]. given #12698 (H,wt=27): 13992 L(K((K(x,y) * z) \ u,w),v5,K(v6,v7)) != v8 | K(z \ (K(y,x) * u),w) = v8. [para(13913(a,2),13925(a,1,1))]. given #12699 (H,wt=22): 14121 K((K(x,y) * z) \ u,w) != v5 | K(z \ (K(y,x) * u),w) = v5. [para(281(a,1),13992(a,1))]. given #12700 (H,wt=22): 14122 K((x * K(y,z)) \ u,w) != v5 | K(x \ (K(z,y) * u),w) = v5. [para(13266(a,1),14121(a,1))]. given #12701 (H,wt=26): 14123 K((x * y) / (K(z,u) * y),w) != v5 | K(y \ (K(u,z) * (y * x)),w) = v5. [para(13348(a,2),14122(a,1))]. given #12702 (H,wt=27): 14064 K(x,y * (z * K(u,u * a(w,v5,v6)))) = K(x,(y * z) * a(u,v5,K(w,v6))). [para(12273(a,1),14050(a,1,2,2)),flip(a)]. given #12703 (H,wt=20): 14124 K(x,y * (z * K(u,u * a(w,v5,v6)))) = K(x,y * z). [hyper(199,a,14051,a(flip),b,14064,a)]. given #12704 (H,wt=18): 14126 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(11950(a,1),14124(a,1,2,2,2))]. given #12705 (H,wt=19): 14127 K(x,y * T(a(z,u,w),v5)) = K(x,y * a(z,u,w)). [para(12284(a,1),14126(a,1,2,2))]. given #12706 (H,wt=21): 14128 K(x,T(a(y,z,u) * w,v5)) = K(x,T(w,v5) * a(y,z,u)). [hyper(199,a,14114,a(flip),b,14127,a(flip)),flip(a)]. given #12707 (H,wt=18): 14129 K(x,T(a(y,z,K(u,w)) * v5,v6)) = K(x,T(v5,v6)). [hyper(199,a,14051,a(flip),b,14128,a)]. given #12708 (H,wt=28): 13969 K(x,K(y,z \ u)) * K(x,L(z \ u,z,z \ y)) = K(x,((y / z) * u) / y). [para(13952(a,1),10012(a,1,1))]. given #12709 (H,wt=28): 14130 K(x,K(y,z \ u)) * L(K(x,z \ u),z,z \ y) = K(x,((y / z) * u) / y). [para(10435(a,2),13969(a,1,2))]. given #12710 (H,wt=22): 14131 L(K(x,T(y \ z,u)),y,y \ u) = K(x,((u / y) * z) / u). [hyper(199,a,14120,a(flip),b,14130,a(flip)),flip(a)]. given #12711 (H,wt=26): 14132 L(K(x,T(T(y,z) \ z,u)),y,y \ u) = K(x,((u / y) * T(z,y)) / u). [para(3935(a,2),14131(a,1,1,2,1))]. given #12712 (H,wt=24): 14133 L(K(x,T(y / z,u)),z,z \ u) = K(x,((u / z) * T(y,z)) / u). [para(11572(a,1),14132(a,1,1))]. given #12713 (H,wt=21): 14134 K(x,((y / z) * T(u,z)) / y) = K(x,y \ (u * (z \ y))). [hyper(199,a,12894,a(flip),b,14133,a(flip))]. given #12714 (H,wt=25): 14135 K(x,(y * z) \ (u * (z \ (y * z)))) = K(x,(y * T(u,z)) / (y * z)). [para(15(a,1),14134(a,1,2,1,1)),flip(a)]. given #12715 (H,wt=29): 14033 K(x,(K(y,z) * T(u \ y,K(y,T(z,w)))) \ v5) = K(x,(u \ T(y,T(z,w))) \ v5). [para(12494(a,1),14031(a,1,2,1,2))]. given #12716 (H,wt=27): 14136 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(K(z,u) * T(y \ z,K(z,u))) \ v5). [para(13252(a,1),14033(a,1,2,1,2)),flip(a)]. given #12717 (H,wt=23): 14137 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) * K(z,u)) \ v5). [para(105(a,1),14136(a,2,2,1))]. given #12718 (H,wt=21): 14139 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). [para(12491(a,1),14137(a,2,2,1))]. given #12719 (H,wt=25): 14140 K(x,(y \ T(z,u \ (w \ u))) \ v5) = K(x,(y \ T(z,w \ z)) \ v5). [hyper(199,a,11712,a(flip),b,14139,a(flip)),flip(a)]. given #12720 (H,wt=29): 14085 K(x,y * (T(z,u) \ ((w * u) \ w))) = K(x,y * (T((w * u) \ w,K(v5,v6)) / z)). [hyper(199,a,13617,a(flip),b,14084,a(flip))]. given #12721 (H,wt=28): 14142 K(x,y * (T(z,u) \ ((w * u) \ w))) != v5 | K(x,y * (((w * u) \ w) / z)) = v5. [para(14085(a,2),13325(a,1))]. given #12722 (H,wt=29): 14100 K(x,((y \ z) / T(u,z * y)) * T(w,u * (y \ z))) = K(x,w * (u \ (y \ z))). [hyper(199,a,13560,a(flip),b,14099,a)]. given #12723 (H,wt=23): 14143 K(x,y * ((z \ u) / T(w,u * z))) = K(x,y * (w \ (z \ u))). [hyper(199,a,14095,a(flip),b,14100,a(flip)),flip(a)]. given #12724 (H,wt=29): 14102 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(14097(a,1),6232(a,1,1,2))]. given #12725 (H,wt=25): 14144 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(6245,a,14102,a),flip(a)]. given #12726 (H,wt=31): 13968 ((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(13966(a,1),12965(a,1,2))]. given #12727 (H,wt=24): 14146 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(199,a,12598,a(flip),b,13968,a(flip))]. given #12728 (H,wt=22): 14148 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7105(a,1),14146(a,1,1))]. given #12729 (H,wt=20): 14149 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(9774(a,1),14148(a,1,2))]. given #12730 (H,wt=13): 14150 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(391,a,14149,a),flip(a)]. given #12731 (H,wt=20): 14152 L(x / y,y,K(z,u)) = (x * K(z,u)) / (y * K(z,u)). [hyper(199,a,102,a(flip),b,14150,a(flip))]. given #12732 (H,wt=20): 14153 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(14150(a,1),101(a,1,1))]. given #12733 (H,wt=24): 14154 L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(7105(a,1),14153(a,1,2))]. given #12734 (H,wt=21): 14156 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [para(13884(a,1),14154(a,1,1)),flip(a)]. given #12735 (H,wt=19): 14157 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(199,a,13402,a(flip),b,14156,a(flip))]. given #12736 (H,wt=22): 14155 L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(10004(a,1),14154(a,1,1))]. given #12737 (H,wt=26): 14163 K(x,L(y,z,u)) * (K(w,v5) * (z * u)) = K(w,v5) * ((K(x,y) * z) * u). [para(12918(a,1),14157(a,1,2)),flip(a)]. given #12738 (H,wt=26): 14165 K(x,L(y,T(z,u),w)) * (z * w) = K(u,z) * ((K(x,y) * T(z,u)) * w). [para(4632(a,1),14163(a,1,2))]. given #12739 (H,wt=31): 14045 K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). [para(14040(a,1),11758(a,1,1,1,1))]. given #12740 (H,wt=31): 14164 (a(x,y,K(z,T(u,y))) * (x * (y * K(z,T(u,y))))) / (K(z,u) * y) = L(x,y,K(z,u)). [hyper(69,a,12695,a,b,14155,a)]. given #12741 (H,wt=29): 14166 (a(x,y,K(z,u)) * (z * (y * K(x,T(u,y))))) / (K(x,u) * y) = L(z,y,K(x,u)). [para(13963(a,1),14164(a,1,1,1))]. given #12742 (H,wt=27): 14167 (a(x,y,K(z,u)) * (z * (K(x,u) * y))) / (K(x,u) * y) = L(z,y,K(x,u)). [para(7105(a,1),14166(a,1,1,2,2))]. given #12743 (H,wt=25): 14169 (T(x,a(y,z,u)) * (K(u,y) * z)) / (K(u,y) * z) = L(x,z,K(u,y)). [para(14013(a,1),14167(a,1,1))]. given #12744 (H,wt=13): 14170 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(262,a,14169,a)]. given #12745 (H,wt=13): 14171 L(x,y,K(z,u)) = T(x,a(z,y,u)). [hyper(13926,a,14170,a)]. given #12746 (H,wt=15): 14172 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(199,a,12301,a,b,14170,a),flip(a)]. given #12747 (H,wt=15): 14173 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(199,a,12052,a,b,14170,a),flip(a)]. given #12748 (H,wt=15): 14179 x * a(y,z,K(x,u)) = L(x,z,K(y,u)). [hyper(199,a,12052,a,b,14171,a),flip(a)]. given #12749 (H,wt=15): 14184 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(14025,a,14172,a)]. given #12750 (H,wt=15): 14185 x * a(y,z,K(u,x)) = L(x,z,K(u,y)). [para(12293(a,1),14172(a,1,2))]. given #12751 (H,wt=15): 14187 a(x,y,K(z,u)) * u = L(u,y,K(x,z)). [hyper(199,a,13940,a,b,14173,a(flip)),flip(a)]. given #12752 (H,wt=15): 14190 T(T(x,y),L(y,z,u)) = L(x,z,K(y,u)). [hyper(199,a,13956,a,b,14184,a(flip)),flip(a)]. given #12753 (H,wt=15): 14195 L(T(x,y),z,K(y,u)) = T(x,L(y,z,u)). [para(47(a,1),14190(a,1,1)),flip(a)]. given #12754 (H,wt=16): 14176 T(x,a(y,z,u)) != w | L(x,z,K(y,u)) = w. [para(14170(a,1),13926(a,1))]. given #12755 (H,wt=16): 14186 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(14172(a,1),14126(a,1,2,2))]. given #12756 (H,wt=17): 14193 x \ L(y,z,K(x,u)) = T(x \ y,a(x,z,u)). [para(14185(a,1),12592(a,1,2))]. given #12757 (H,wt=17): 14199 L(x \ y,z,K(x,u)) = x \ L(y,z,K(x,u)). [hyper(199,a,14171,a,b,14193,a),flip(a)]. given #12758 (H,wt=18): 14175 L(a(x,y,y \ 1),z,K(u,w)) = a(x,y,y \ 1). [hyper(199,a,12057,a(flip),b,14170,a)]. given #12759 (H,wt=18): 14183 L(x,y,K(z,u)) != w | x * a(z,y,K(x,u)) = w. [para(14171(a,2),14026(a,1))]. given #12760 (H,wt=18): 14188 L(x,y,K(z,u)) != x * w | a(u,y,K(x,z)) = w. [para(14173(a,1),19(a,1))]. given #12761 (H,wt=18): 14189 x * a(y,z,K(x,u)) != w | L(x,z,K(y,u)) = w. [para(14173(a,2),13926(a,1))]. given #12762 (H,wt=18): 14192 x * a(y,z,K(u,x)) != w | L(x,z,K(u,y)) = w. [para(14184(a,2),13926(a,1))]. given #12763 (H,wt=18): 14198 K(x,y * T(z,L(u,w,v5))) = K(x,y * T(z,u)). [para(14195(a,1),14186(a,1,2,2))]. given #12764 (H,wt=19): 14177 a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(z,x)). [para(14170(a,2),13996(a,2,2))]. given #12765 (H,wt=16): 14205 T(x,y * L(z,u,K(w,v5))) = T(x,y * z). [para(14177(a,1),14039(a,1,2))]. given #12766 (H,wt=19): 14178 a(x,y,K(z,u)) * (z * w) = L(z,y,K(x,u)) * w. [para(14170(a,2),14013(a,2,1))]. given #12767 (H,wt=19): 14180 a(x,y,K(z,u)) * (x \ w) = L(x,y,K(z,u)) \ w. [para(14171(a,2),12285(a,2,1))]. given #12768 (H,wt=16): 14209 T(x,L(y,z,K(u,w)) \ v5) = T(x,y \ v5). [para(14180(a,1),14039(a,1,2))]. given #12769 (H,wt=18): 14210 T(x,y \ T(z,y)) = T(x,z / L(y,u,K(w,v5))). [hyper(199,a,13951,a(flip),b,14209,a(flip))]. given #12770 (H,wt=16): 14212 T(x,y / L(z,u,K(w,v5))) = T(x,y / z). [hyper(199,a,11510,a(flip),b,14210,a(flip))]. given #12771 (H,wt=19): 14182 a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). [para(14171(a,2),13996(a,2,2))]. given #12772 (H,wt=19): 14194 a(x,y,K(z,u)) * (u \ z) = L(u \ z,y,K(x,z)). [para(10560(a,1),14187(a,1,1))]. given #12773 (H,wt=19): 14203 (x * y) \ (x * L(y,z,K(u,w))) = a(u,z,K(w,y)). [hyper(68,a,14177,a(flip),b,13943,a(flip))]. given #12774 (H,wt=19): 14207 (L(x,y,K(z,u)) * w) / a(x,y,K(z,u)) = x * w. [hyper(69,a,14178,a(flip),b,13943,a(flip))]. given #12775 (H,wt=19): 14208 a(x,y,K(z,u)) * (u \ w) = L(u,y,K(x,z)) \ w. [para(12278(a,2),14180(a,1,1))]. given #12776 (H,wt=17): 14216 L(x \ y,z,K(u,y)) = L(x,z,K(u,y)) \ y. [hyper(199,a,14194,a(flip),b,14208,a(flip)),flip(a)]. given #12777 (H,wt=19): 14215 a(x,y,K(z,u)) * (L(z,y,K(x,u)) * w) = z * w. [hyper(199,a,13955,a(flip),b,14207,a(flip)),flip(a)]. given #12778 (H,wt=21): 14196 T(x,y) / L(y,z,K(x,u)) = x / T(y,T(L(x,z,u),x)). [para(14190(a,1),8042(a,1,2))]. given #12779 (H,wt=19): 14219 T(x,y) / L(y,z,K(x,u)) = x / T(y,L(x,z,u)). [para(117(a,1),14196(a,2,2,2))]. given #12780 (H,wt=21): 14213 a(x,y,K(z,u \ w)) * w = u * L(u \ w,y,K(x,z)). [hyper(270,a,14182,a)]. given #12781 (H,wt=21): 14220 x * L(x \ y,y,K(z,u)) = y * a(z,x,K(u,x \ y)). [hyper(14021,a,14213,a),flip(a)]. given #12782 (H,wt=23): 14197 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * (w \ (K(z,u) * v5))). [para(5043(a,1),14186(a,1,2,2))]. given #12783 (H,wt=23): 14201 (K(x,y) * z) \ (K(x,y) * R(z,u,u \ 1)) = a(z,u,u \ 1). [hyper(199,a,603,a,b,14175,a(flip)),flip(a)]. given #12784 (H,wt=23): 14202 K(x,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w \ (u * v5))). [para(409(a,1),14198(a,1,2,2,2)),flip(a)]. given #12785 (H,wt=23): 14221 K(x,y * ((z * K(u,w)) \ v5)) = K(x,y * (z \ (K(u,w) * v5))). [hyper(199,a,13328,a(flip),b,14197,a(flip)),flip(a)]. given #12786 (H,wt=23): 14222 K(x,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w * (u * v5))). [hyper(199,a,13558,a(flip),b,14202,a)]. given #12787 (H,wt=23): 14223 K(x,y * T(z,(u \ w) * v5)) = K(x,y * T(z,w * (u * v5))). [hyper(13559,a,14222,a)]. given #12788 (H,wt=24): 14214 ((x * K(y,z)) * u) \ (K(y,T(z,x)) * (x * u)) = a(y,x,K(z,u)). [para(10011(a,1),14203(a,1,2))]. given #12789 (H,wt=26): 14204 a(x,y,K(z,u)) * (w * u) != v5 * v6 | v5 \ (w * L(u,y,K(z,x))) = v6. [para(14177(a,2),492(a,1))]. given #12790 (H,wt=27): 14200 T(x,y / (T(L(z,u,K(w,v5)),w) / w)) = T(x,y / L(w \ z,u,K(w,v5))). [para(14199(a,2),11729(a,2,2,2))]. given #12791 (H,wt=27): 14224 T(x,y / (L(T(z,u),w,K(u,v5)) / u)) = T(x,y / L(u \ z,w,K(u,v5))). [para(40(a,2),14200(a,1,2,2,1))]. given #12792 (H,wt=25): 14225 T(x,y / L(z \ u,w,K(z,v5))) = T(x,y / (T(u,L(z,w,v5)) / z)). [para(14195(a,1),14224(a,1,2,2,1)),flip(a)]. given #12793 (H,wt=20): 14226 T(x,y / (T(z,L(u,w,v5)) / u)) = T(x,y / (u \ z)). [hyper(199,a,14212,a(flip),b,14225,a(flip))]. given #12794 (H,wt=28): 14181 K(x,(y * a(z,u,w)) \ L(v5 * (a(z,u,w) * y),u,K(z,w))) = K(x,T(v5,y)). [para(14171(a,2),13237(a,1,2,2))]. given #12795 (H,wt=30): 14218 a(x,y,K(z,u)) * (K(w,L(z,y,K(x,u))) * v5) = z * (T(L(z,y,K(x,u)),w) \ v5). [para(4631(a,1),14215(a,1,2))]. given #12796 (H,wt=30): 14228 a(x,y,K(z,u)) * (L(K(w,z),y,K(x,u)) * v5) = z * (T(L(z,y,K(x,u)),w) \ v5). [para(10435(a,2),14218(a,1,2,1))]. given #12797 (H,wt=25): 14229 a(x,y,K(z,u)) * (K(z,w) * v5) = z * (T(L(z,y,K(x,u)),w) \ v5). [para(13910(a,1),14228(a,1,2,1))]. given #12798 (H,wt=25): 14230 a(x,y,K(z,u)) * (K(z,w) * v5) = z * (L(T(z,w),y,K(x,u)) \ v5). [para(40(a,2),14229(a,2,2,1))]. given #12799 (H,wt=25): 14232 (K(x,y) * z) * a(x,u,K(w,v5)) = x * (L(T(x,y),u,K(w,v5)) \ z). [hyper(14022,a,14230,a)]. given #12800 (H,wt=32): 13981 L(K(x,K(y,z)) \ ((u * w) \ v5),K(x,K(y,z)),u * w) = (u * (w * K(x,K(y,z)))) \ v5. [para(13871(a,1),198(a,2,1))]. given #12801 (H,wt=32): 14000 L(K(x,T(y \ z,y * u)),y,T(u,y)) = K(x,(T(T(u,y),w) * z) / (T(T(u,y),w) * y)). [hyper(199,a,13418,a(flip),b,13997,a(flip))]. given #12802 (H,wt=30): 14234 K(x,(T(T(y,z),u) * w) / (T(T(y,z),u) * z)) = L(K(x,T(z \ w,z * y)),z,y). [hyper(13998,a,14000,a),flip(a)]. given #12803 (H,wt=27): 14237 K(x,(T(T(y,z),u) * w) / (T(T(y,z),u) * z)) = K(x,(y * w) / (y * z)). [hyper(199,a,13062,a(flip),b,14234,a)]. given #12804 (H,wt=25): 14238 K(x,(T(T(y,z),u) * w) / (z * T(y,u))) = K(x,(y * w) / (y * z)). [para(189(a,1),14237(a,1,2,2))]. given #12805 (H,wt=32): 14217 T(x,y * (T(z,L(u,w,K(v5,z))) / L(u,w,K(v5,z)))) = T(x,y * L(u \ z,w,K(v5,z))). [para(14216(a,2),11552(a,2,2,2))]. given #12806 (H,wt=27): 14239 T(x,y * (T(z,u) / L(u,w,K(v5,z)))) = T(x,y * L(u \ z,w,K(v5,z))). [para(7622(a,1),14217(a,1,2,2,1))]. given #12807 (H,wt=27): 14240 T(x,y * (T(z,u) / L(u,w,K(z,v5)))) = T(x,y * L(u \ z,w,K(v5,z))). [para(4738(a,1),14239(a,1,2,2,2,3))]. given #12808 (H,wt=25): 14243 T(x,y * L(z \ u,w,K(v5,u))) = T(x,y * (u / T(z,L(u,w,v5)))). [para(14219(a,1),14240(a,1,2,2)),flip(a)]. given #12809 (H,wt=20): 14244 T(x,y * (z / T(u,L(z,w,v5)))) = T(x,y * (u \ z)). [hyper(199,a,14205,a(flip),b,14243,a(flip))]. given #12810 (H,wt=32): 14233 L(K(x,K(y,z)) * ((u * w) \ v5),K(x,K(y,z)),u * w) = (u * (w * K(x,K(y,z)))) \ v5. [para(5028(a,1),13981(a,1,1))]. given #12811 (H,wt=23): 14246 (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). [hyper(199,a,14014,a(flip),b,14233,a(flip))]. given #12812 (H,wt=33): 13945 L(K(x,(y / z) / a(u,w,K(v5,v6))),a(u,w,K(v5,v6)),z) = K(x,y / (z * a(u,w,K(v5,v6)))). [para(13906(a,1),12891(a,2,2,2))]. given #12813 (H,wt=26): 14249 L(K(x,y / z),a(u,w,K(v5,v6)),z) = K(x,y / (z * a(u,w,K(v5,v6)))). [para(14052(a,1),13945(a,1,1))]. given #12814 (H,wt=33): 14047 (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). [para(14042(a,1),8951(a,1,1,1))]. given #12815 (H,wt=29): 14251 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). [para(166(a,1),14047(a,1,1))]. given #12816 (H,wt=25): 14253 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. [hyper(199,a,194,a(flip),b,14251,a)]. given #12817 (H,wt=21): 14255 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [para(12289(a,1),14253(a,1,2))]. given #12818 (H,wt=33): 14088 L(K(x,T(y / z,u)),z,T(z \ L(u,w,v5),v6)) = K(x,L(u,w,v5) \ (y * (z \ L(u,w,v5)))). [para(13976(a,1),13999(a,1,1))]. given #12819 (H,wt=31): 14256 L(K(x,y \ z),y,T(y \ L(y,u,w),v5)) = K(x,L(y,u,w) \ (z * (y \ L(y,u,w)))). [para(107(a,1),14088(a,1,1,2))]. given #12820 (H,wt=29): 14257 L(K(x,y \ z),y,y \ L(y,u,w)) = K(x,L(y,u,w) \ (z * (y \ L(y,u,w)))). [hyper(13998,a,14256,a)]. given #12821 (H,wt=28): 14258 K(x,L(y,z,z \ 1) \ (u * (y \ L(y,z,z \ 1)))) != w | K(x,y \ u) = w. [para(14257(a,1),12600(a,1))]. given #12822 (H,wt=33): 14145 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). [hyper(199,a,13389,a,b,14144,a(flip)),flip(a)]. given #12823 (H,wt=29): 14259 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(13289,a,14145,a)]. given #12824 (H,wt=34): 13984 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) = a(x,w,v5 * K(y,K(z,u))). [para(13874(a,2),24(a,2,1,2)),flip(a)]. given #12825 (H,wt=34): 14191 (x * a(y,z,K(u,w))) * T(w,a(y,z,K(u,w))) = R(x,a(y,z,K(u,w)),w) * L(w,z,K(y,u)). [para(14184(a,1),9772(a,1,2)),flip(a)]. given #12826 (H,wt=34): 14260 ((x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * v5)) * K(y,K(z,u)) = a(x,w,v5 * K(y,K(z,u))). [hyper(199,a,14005,a(flip),b,13984,a(flip)),flip(a)]. given #12827 (H,wt=34): 14261 (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(14017(a,1),14260(a,1,1))]. given #12828 (H,wt=27): 14262 (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(24(a,2),14261(a,1,1,1))]. given #12829 (H,wt=15): 14263 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(6273,a,14262,a)]. given #12830 (H,wt=13): 14265 a(x,y,T(z,K(u,w))) = a(x,y,z). [para(4652(a,2),14263(a,1,3))]. given #12831 (H,wt=15): 14266 a(x,K(y,T(z,u)),u) = a(x,K(y,z),u). [hyper(199,a,7124,a,b,14265,a(flip)),flip(a)]. given #12832 (H,wt=35): 14011 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (L(K(u,y),w,v5) * v6),v7). [para(9368(a,2),13991(a,2,1,2)),flip(a)]. given #12833 (H,wt=37): 14098 K(x,((K(y,z) \ u) * L((K(y,z) \ u) \ u,w,v5)) \ v6) = K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)). [para(533(a,2),14092(a,1,2,1))]. given #12834 (H,wt=37): 14268 K(x,((K(y,z) * u) * L((K(z,y) \ u) \ u,w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(5008(a,1),14098(a,1,2,1,1))]. given #12835 (H,wt=35): 14269 K(x,((K(y,z) * u) * L(K(z,T(y,u)),w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(7354(a,1),14268(a,1,2,1,2,1))]. given #12836 (H,wt=35): 14270 K(x,(K(y,z) * (u * L(K(z,T(y,u)),w,v5))) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(13916(a,1),14269(a,1,2,1))]. given #12837 (H,wt=33): 14271 K(x,(K(y,z) * (L(K(z,y),u,w) * v5)) \ v6) = K(x,(K(z,y) \ v5) \ (L(K(y,z),u,w) * v6)). [para(7109(a,1),14270(a,1,2,1,2))]. given #12838 (H,wt=29): 14272 K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,(a(y,w,K(v5,z)) * u) \ v6). [para(12299(a,1),14271(a,1,2,1)),flip(a)]. given #12839 (H,wt=39): 14247 K(x,K(y,z)) * ((u * w) \ (u * (w * (v5 * K(x,K(y,z)))))) = L(L(v5,K(x,K(y,z)),w),w * K(x,K(y,z)),u). [hyper(13132,a,14246,a),flip(a)]. given #12840 (H,wt=34): 14273 L(L(x,K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = K(y,K(z,u)) * L(x * K(y,K(z,u)),w,v5). [para(28(a,2),14247(a,1,2)),flip(a)]. given #12841 (H,wt=27): 14274 K(x,K(y,z)) * L(u * K(x,K(y,z)),w,v5) = L(u,w * K(x,K(y,z)),v5). [para(14014(a,1),14273(a,1,1)),flip(a)]. given #12842 (H,wt=27): 14275 L((x * K(y,K(z,u))) * K(y,K(z,u)),w,v5) = L(x,w * K(y,K(z,u)),v5). [hyper(17,a,14117,a(flip),b,14274,a)]. given #12843 (H,wt=15): 14276 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [para(6222(a,1),14275(a,1,1)),flip(a)]. given #12844 (H,wt=15): 14278 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(7094(a,1),14276(a,1,2))]. given #12845 (H,wt=13): 14279 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(199,a,13657,a(flip),b,14278,a(flip)),flip(a)]. given #12846 (H,wt=21): 14282 L(x,K(y,T(a(z,u,w),v5)),v6) = R(x,a(y,u,K(z,w)),v6). [para(13958(a,1),14279(a,1,2)),flip(a)]. given #12847 (H,wt=19): 14283 R(x,a(y,z,K(u,w)),v5) = L(x,a(y,z,K(u,w)),v5). [para(13958(a,1),14282(a,1,2)),flip(a)]. given #12848 (H,wt=26): 14281 L(x \ L(x,K(y,T(z,u)),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). [para(14279(a,1),12963(a,1,1,2))]. given #12849 (H,wt=24): 14285 L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). [para(14278(a,1),14281(a,1,1,2))]. given #12850 (H,wt=24): 14286 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,T(z,x)),x). [hyper(199,a,419,a(flip),b,14285,a(flip)),flip(a)]. given #12851 (H,wt=22): 14288 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),x). [hyper(199,a,14266,a(flip),b,14286,a)]. given #12852 (H,wt=34): 14284 (x * a(y,z,K(u,w))) * T(w,a(y,z,K(u,w))) = L(x,a(y,z,K(u,w)),w) * L(w,z,K(y,u)). [para(14283(a,1),14191(a,2,1))]. given #12853 (H,wt=26): 14289 (x * a(y,z,K(u,w))) * T(w,a(y,z,K(u,w))) = x * L(w,z,K(y,u)). [para(11921(a,1),14284(a,2,1))]. given #12854 (H,wt=19): 14290 (x * a(y,z,K(u,w))) * w = x * L(w,z,K(y,u)). [para(13902(a,1),14289(a,1,2))]. given #12855 (H,wt=22): 14291 ((K(x,y) * z) * a(x,z,K(y,u))) * u = K(x,y) * (z * u). [hyper(199,a,92,a(flip),b,14290,a)]. given #12856 (H,wt=22): 14292 (x * (L(T(x,y),z,K(y,u)) \ z)) * u = K(x,y) * (z * u). [para(14232(a,1),14291(a,1,1))]. given #12857 (H,wt=20): 14293 (x * (T(x,L(y,z,u)) \ z)) * u = K(x,y) * (z * u). [para(14195(a,1),14292(a,1,1,2,1))]. given #12858 (H,wt=18): 14294 (K(x,L(y,z,u)) * z) * u = K(x,y) * (z * u). [para(4971(a,1),14293(a,1,1))]. given #12859 (H,wt=18): 14295 (L(K(x,y),z,u) * z) * u = K(x,y) * (z * u). [para(10435(a,2),14294(a,1,1,1))]. given #12860 (H,wt=13): 14296 L(L(K(x,y),z,u),z,u) = K(x,y). [hyper(12953,a,14295,a)]. given #12861 (H,wt=18): 14298 L(K(x,y \ (z * u)),u,z) = K(x,(z \ y) \ u). [para(6397(a,1),14296(a,1,1))]. given #12862 (H,wt=18): 14300 L(K(x,(y * z) \ u),z,y) = K(x,z \ (y \ u)). [para(10445(a,1),14296(a,1,1))]. given #12863 (H,wt=18): 14301 L(K(x,y \ (z * u)),y,z) = K(x,(z \ y) \ u). [para(12570(a,1),14296(a,1,1))]. given #12864 (H,wt=18): 14302 L(K(x,y / (z * u)),z,u) = K(x,(y / u) / z). [para(12891(a,1),14296(a,1,1))]. given #12865 (H,wt=18): 14303 L(K(x,(y * z) / u),y,z) = K(x,y / (u / z)). [para(12901(a,1),14296(a,1,1))]. given #12866 (H,wt=18): 14304 L(K(x,(y * z) / u),u,z) = K(x,y / (u / z)). [para(12926(a,1),14296(a,1,1))]. given #12867 (H,wt=18): 14316 K(x,y / (z / x)) != u | K(x,(y * x) / z) = u. [para(14303(a,1),7367(a,1))]. given #12868 (H,wt=19): 14310 K(x,(y * z) \ (y * (y * u))) = K(x,(y \ z) \ u). [hyper(10509,a,14301,a)]. given #12869 (H,wt=19): 14317 K(x,(y * (y * z)) / (u * y)) = K(x,z / (u / y)). [hyper(12950,a,14304,a)]. given #12870 (H,wt=19): 14318 K(x,(y \ z) \ (y \ u)) = K(x,(y * z) \ (y * u)). [para(14(a,1),14310(a,1,2,2,2)),flip(a)]. given #12871 (H,wt=19): 14319 K(x,(y * (y * z)) / u) = K(x,z / ((u / y) / y)). [para(16(a,1),14317(a,1,2,2))]. given #12872 (H,wt=19): 14320 K(x,(y * (y * z)) / u) = K(x,z / (y \ (y \ u))). [hyper(199,a,13356,a(flip),b,14319,a)]. given #12873 (H,wt=19): 14321 K(x,(y * (y * z)) / (y * u)) = K(x,z / (y \ u)). [para(13(a,1),14320(a,2,2,2,2))]. given #12874 (H,wt=19): 14322 K(x,(y \ z) / (y \ u)) = K(x,(y * z) / (y * u)). [para(14(a,1),14321(a,1,2,1,2)),flip(a)]. given #12875 (H,wt=20): 14305 L(K(x,T(y,z) \ (z * u)),y,z) = K(x,(y / z) \ u). [para(12947(a,1),14296(a,1,1))]. given #12876 (H,wt=19): 14325 K(x,(y * z) \ (z * (z * u))) = K(x,(y / z) \ u). [hyper(199,a,10511,a(flip),b,14305,a(flip)),flip(a)]. given #12877 (H,wt=22): 14306 L(K(x,(T(y,z) * u) \ w),u,y) = K(x,u \ (T(y,z) \ w)). [hyper(13998,a,14300,a)]. given #12878 (H,wt=22): 14307 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(199,a,12703,a(flip),b,14300,a(flip)),flip(a)]. given #12879 (H,wt=25): 14315 L(L(K(x,T(y,z)),u,u \ z),z,u) = K(x,(u \ z) \ ((y \ u) \ z)). [para(12967(a,1),14301(a,1,1))]. given #12880 (H,wt=25): 14324 K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)) = K(x,(y / z) \ u). [hyper(199,a,13692,a(flip),b,14305,a(flip)),flip(a)]. given #12881 (H,wt=23): 14328 K(x,(y * (1 / z)) \ ((u * z) * (1 / z))) = K(x,(y / z) \ u). [para(2176(a,1),14324(a,1,2,2))]. given #12882 (H,wt=23): 14329 K(x,(y * (1 / z)) \ ((u * z) * (z \ 1))) = K(x,(y / z) \ u). [hyper(199,a,5497,a(flip),b,14328,a(flip)),flip(a)]. given #12883 (H,wt=22): 14330 K(x,(y * (1 / z)) \ R(u,z,z \ 1)) = K(x,(y / z) \ u). [para(329(a,1),14329(a,1,2,2))]. given #12884 (H,wt=22): 14331 K(x,(y * (1 / z)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). [hyper(199,a,11765,a(flip),b,14330,a(flip)),flip(a)]. given #12885 (H,wt=22): 14332 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). [hyper(199,a,5502,a(flip),b,14331,a(flip)),flip(a)]. given #12886 (H,wt=26): 14308 L(K(x,(y * z) \ R(y,u,u \ 1)),z,y) = K(x,z \ a(y,u,u \ 1)). [para(601(a,1),14300(a,2,2,2))]. given #12887 (H,wt=26): 14333 L(K(x,(y * z) \ L(y,u,u \ 1)),z,y) = K(x,z \ a(y,u,u \ 1)). [para(11765(a,1),14308(a,1,1))]. given #12888 (H,wt=23): 14334 K(x,y \ (z \ L(z,u,u \ 1))) = K(x,y \ a(z,u,u \ 1)). [hyper(199,a,14300,a(flip),b,14333,a(flip)),flip(a)]. given #12889 (H,wt=28): 14313 L(K(x,T(y,z) \ (u * w)),z * (y / z),u) = K(x,(u \ (z * (y / z))) \ w). [para(11601(a,1),14301(a,1,1))]. given #12890 (H,wt=29): 14297 (L(K(x,y),z * u,u \ 1) * (z * u)) * (u \ 1) = K(x,y) * R(z,u,u \ 1). [para(329(a,1),14295(a,2,2))]. given #12891 (H,wt=27): 14336 (L(K(x,y),z * u,u) * (z * u)) * (u \ 1) = K(x,y) * R(z,u,u \ 1). [para(12550(a,1),14297(a,1,1,1))]. given #12892 (H,wt=25): 14337 (L(K(x,y),z,u) * (z * u)) * (u \ 1) = K(x,y) * R(z,u,u \ 1). [para(12578(a,1),14336(a,1,1,1))]. given #12893 (H,wt=22): 14338 ((K(x,y) * z) * u) * (u \ 1) = K(x,y) * R(z,u,u \ 1). [para(12903(a,1),14337(a,1,1))]. given #12894 (H,wt=21): 14339 R(K(x,y) * z,u,u \ 1) = K(x,y) * R(z,u,u \ 1). [hyper(438,a,14338,a)]. given #12895 (H,wt=23): 14340 (K(x,y) * z) \ R(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [para(14339(a,2),14201(a,1,2))]. given #12896 (H,wt=17): 14341 a(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [hyper(604,a,14340,a)]. given #12897 (H,wt=15): 14342 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [para(1055(a,2),14341(a,1,1))]. given #12898 (H,wt=17): 14343 a((x \ y) \ y,z,z \ 1) = a(x,z,z \ 1). [para(4587(a,1),14341(a,1,1)),flip(a)]. given #12899 (H,wt=17): 14344 a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). [para(4680(a,1),14341(a,1,1))]. given #12900 (H,wt=17): 14345 a(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). [para(7106(a,1),14341(a,1,1))]. given #12901 (H,wt=18): 14347 a(L(x,y,K(z,u)),w,w \ 1) = a(x,w,w \ 1). [para(14170(a,2),14342(a,1,1))]. given #12902 (H,wt=23): 14346 x \ R(x * K(y,z),u,u \ 1) = a(x,u,u \ 1) * K(y,z). [para(14341(a,1),12683(a,2,1))]. given #12903 (H,wt=23): 14349 x \ R(x * K(y,z),u,u \ 1) = K(y,z) * a(x,u,u \ 1). [hyper(199,a,13922,a,b,14346,a)]. given #12904 (H,wt=25): 14348 a((x * K(y,z)) / (u * K(y,z)),w,w \ 1) = a(x / u,w,w \ 1). [para(14152(a,1),14347(a,1,1))]. given #12905 (H,wt=25): 14352 a((x * K(y,z)) / (u * K(y,z)),w,w \ 1) = a(u \ x,w,w \ 1). [hyper(199,a,14344,a(flip),b,14348,a)]. given #12906 (H,wt=25): 14353 a((x * K(y,z)) \ (u * K(y,z)),w,w \ 1) = a(x \ u,w,w \ 1). [hyper(199,a,14344,a(flip),b,14352,a(flip)),flip(a)]. given #12907 (H,wt=29): 14309 L(K(x,a(y,y \ z,u)),(y \ z) * u,y) = K(x,((y \ z) * u) \ (y \ (z * u))). [para(84(a,1),14300(a,1,1,2))]. given #12908 (H,wt=29): 14311 L(K(x,a(y,z,u)),y * (z * u),y * z) = K(x,((y * z) \ (y * (z * u))) \ u). [para(24(a,2),14301(a,1,1,2))]. given #12909 (H,wt=29): 14326 L(L(K(x,T(y,z)),u * (u \ z),u \ z),z,u) = K(x,(u \ z) \ ((y \ u) \ z)). [para(12578(a,2),14315(a,1,1))]. given #12910 (H,wt=25): 14356 L(L(K(x,T(y,z)),z,u \ z),z,u) = K(x,(u \ z) \ ((y \ u) \ z)). [para(14(a,1),14326(a,1,1,2))]. given #12911 (H,wt=29): 14354 L(a(x,y \ z,K(y,u)),(y \ z) * u,y) = K(x,((y \ z) * u) \ (y \ (z * u))). [para(12276(a,2),14309(a,1,1))]. given #12912 (H,wt=29): 14355 L(a(x,y,K(z,u)),z * (y * u),z * y) = K(x,((z * y) \ (z * (y * u))) \ u). [para(12276(a,2),14311(a,1,1))]. given #12913 (H,wt=29): 14357 a(x,y \ z,L(K(y,u),(y \ z) * u,y)) = K(x,((y \ z) * u) \ (y \ (z * u))). [hyper(199,a,10970,a,b,14354,a(flip)),flip(a)]. given #12914 (H,wt=22): 14359 K(x,((y \ z) * u) \ (y \ (z * u))) = a(x,y \ z,K(y,u)). [para(6973(a,1),14357(a,1,3)),flip(a)]. given #12915 (H,wt=20): 14360 K(x,((y \ z) * u) \ (y \ (z * u))) = a(y,z,K(x,u)). [hyper(199,a,12556,a(flip),b,14359,a)]. given #12916 (H,wt=22): 14363 T(x,((y \ z) * u) \ (y \ (z * u))) = x * a(y,z,K(x,u)). [para(14360(a,1),4652(a,2,2))]. given #12917 (H,wt=20): 14364 T(x,((y \ z) * u) \ (y \ (z * u))) = L(x,z,K(y,u)). [hyper(199,a,14179,a(flip),b,14363,a)]. given #12918 (H,wt=29): 14358 a(x,y,L(K(z,u),z * (y * u),z * y)) = K(x,((z * y) \ (z * (y * u))) \ u). [hyper(199,a,10970,a,b,14355,a(flip)),flip(a)]. given #12919 (H,wt=27): 14365 K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,L(K(y,u),y * (z * u),z)). [para(12546(a,1),14358(a,1,3)),flip(a)]. given #12920 (H,wt=25): 14366 K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,L(K(y,u),z * u,z)). [para(10462(a,1),14365(a,2,3))]. given #12921 (H,wt=23): 14367 K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,L(K(y,u),z,z)). [para(10440(a,1),14366(a,2,3))]. given #12922 (H,wt=20): 14368 K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,K(y,u)). [para(12265(a,1),14367(a,2,3))]. given #12923 (H,wt=24): 14369 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(y,z \ (y \ u))). [para(56(a,1),14368(a,1,2,1,2))]. given #12924 (H,wt=25): 14371 K(x,((y * z) \ u) \ (z \ (y \ u))) != w | a(x,z,K(y,z \ u)) = w. [para(14369(a,2),12540(a,1))]. given #12925 (H,wt=31): 14351 a((x \ K(y,z / x)) \ 1,u,u \ 1) = z \ T(z * (K(z,y) * a(x,u,u \ 1)),y). [para(14349(a,1),12811(a,1,2,1,2)),flip(a)]. given #12926 (H,wt=29): 14372 a((x \ K(y,z / x)) \ 1,u,u \ 1) = z \ T(T(z,y) * a(x,u,u \ 1),y). [para(4626(a,1),14351(a,2,2,1))]. given #12927 (H,wt=32): 14312 L(K(x,(y \ z) \ ((y \ 1) * u)),y \ z,y \ 1) = K(x,((y \ z) / T(y \ 1,z)) \ u). [para(3991(a,2),14301(a,2,2,1))]. given #12928 (H,wt=30): 14373 L(K(x,(y \ z) \ ((y \ 1) * u)),y \ z,y) = K(x,((y \ z) / T(y \ 1,z)) \ u). [hyper(12591,a,14312,a)]. given #12929 (H,wt=25): 14374 K(x,((y \ z) / T(y \ 1,z)) \ u) = K(x,z \ (y * ((y \ 1) * u))). [hyper(10483,a,14373,a),flip(a)]. given #12930 (H,wt=24): 14375 K(x,((y \ z) / T(y \ 1,z)) \ u) = K(x,z \ L(u,y \ 1,y)). [para(173(a,1),14374(a,2,2,2))]. given #12931 (H,wt=22): 14376 K(x,((y \ 1) \ (y \ z)) \ u) = K(x,z \ L(u,y \ 1,y)). [para(3991(a,1),14375(a,1,2,1))]. given #12932 (H,wt=32): 14314 L(K(x,(y * z) \ ((K(z,y) * u) * w)),y * z,K(z,y) * u) = K(x,(u \ (z * y)) \ w). [para(12412(a,1),14301(a,2,2,1))]. given #12933 (H,wt=32): 14362 K(x,(y \ (z * u)) / T((y \ z) * u,((y \ z) * u) \ (y \ (z * u)))) = a(y,z,K(x,u)). [para(181(a,2),14360(a,1,2))]. given #12934 (H,wt=25): 14379 K(x,(y \ (z * u)) / L((y \ z) * u,z,K(y,u))) = a(y,z,K(x,u)). [para(14364(a,1),14362(a,1,2,2))]. given #12935 (H,wt=32): 14378 L(K(x,(y * z) \ ((K(y,z) * u) * w)),y * z,K(z,y) * u) = K(x,(u \ (z * y)) \ w). [para(4738(a,1),14314(a,1,1,2,2,1,1))]. given #12936 (H,wt=33): 14323 K(x,(T(T(y,z),u) \ w) / (T(T(y,z),u) \ z)) = K(x,(T(T(y,z),u) * w) / (z * T(y,u))). [para(189(a,1),14322(a,2,2,2))]. given #12937 (H,wt=31): 14380 K(x,(T(T(y,z),u) \ w) / (z / T(y,u))) = K(x,(T(T(y,z),u) * w) / (z * T(y,u))). [hyper(199,a,13354,a(flip),b,14323,a(flip)),flip(a)]. given #12938 (H,wt=25): 14381 K(x,(T(T(y,z),u) \ w) / (z / T(y,u))) = K(x,(y * w) / (y * z)). [hyper(199,a,14238,a(flip),b,14380,a)]. given #12939 (H,wt=35): 14377 L(K(x,y \ L(z,u \ 1,u)),z,u \ K(u,u \ y)) = K(x,(y / u) \ ((u \ K(u,u \ y)) * z)). [para(14376(a,1),8179(a,1,1))]. given #12940 (H,wt=39): 14335 K(x,L(y,z,z \ 1) \ (u * T(y \ L(y,z,z \ 1),w))) = K(x,(u \ L(y,z,z \ 1)) \ a(y,z,z \ 1)). [hyper(199,a,12993,a,b,14334,a(flip)),flip(a)]. given #12941 (H,wt=37): 14383 K(x,L(y,z,z \ 1) \ (u * (y \ L(y,z,z \ 1)))) = K(x,(u \ L(y,z,z \ 1)) \ a(y,z,z \ 1)). [para(104(a,1),14335(a,1,2,2,2))]. given #12942 (H,wt=26): 14384 K(x,(y \ L(z,u,u \ 1)) \ a(z,u,u \ 1)) != w | K(x,z \ y) = w. [para(14383(a,1),14258(a,1))]. given #12943 (H,wt=41): 14072 L(K(x,L(K(y,z),u,w) \ (T(v5,K(y,z)) \ v6)),L(K(y,z),u,w),T(v5,K(y,z))) = K(x,(L(K(y,z),u,w) * v5) \ v6). [para(14046(a,1),10445(a,2,2,1))]. given #12944 (H,wt=41): 14254 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(y,x) * L(K(x,y),u,w),y)) = L(K(x,y),u,w) * z. [hyper(199,a,12281,a,b,14253,a(flip)),flip(a)]. given #12945 (H,wt=38): 14386 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(x,y) * K(y,x),y)) = L(K(x,y),u,w) * z. [para(14071(a,1),14254(a,1,2,3))]. given #12946 (H,wt=32): 14387 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(1,y)) = L(K(x,y),u,w) * z. [para(4897(a,1),14386(a,1,2,3,1))]. given #12947 (H,wt=30): 14389 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,1) = L(K(x,y),u,w) * z. [para(133(a,1),14387(a,1,2,3))]. given #12948 (H,wt=25): 14391 K(x,y) * (z * (K(y,x) * L(K(x,y),u,w))) = L(K(x,y),u,w) * z. [hyper(288,a,14389,a)]. given #12949 (H,wt=21): 14393 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(12289(a,1),14391(a,1,2,2))]. given #12950 (H,wt=35): 14394 L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. [para(14393(a,1),12904(a,1,2,1))]. given #12951 (H,wt=29): 14395 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(13884(a,1),14394(a,1,1))]. given #12952 (H,wt=29): 14396 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(13918(a,1),14395(a,1,2))]. given #12953 (H,wt=29): 14397 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(5030,a,14396,a)]. given #12954 (H,wt=25): 14398 T(x * a(y,z,K(u,w)),K(y,w)) = L(K(y,w),z,u) * (x * K(w,y)). [hyper(5343,a,14397,a)]. given #12955 (H,wt=25): 14399 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [hyper(199,a,12299,a(flip),b,14397,a(flip))]. given #12956 (H,wt=30): 14400 a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). [hyper(4655,a,14399,a),flip(a)]. given #12957 (H,wt=23): 14401 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(14057(a,1),14400(a,1,2,2))]. given #12958 (H,wt=21): 14402 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4652(a,2),14401(a,1,2)),flip(a)]. given #12959 (H,wt=38): 14404 x \ (y * T((a(z,u,K(w,v5)) * (y \ x)) * a(v5,u,K(w,z)),v6)) = K((x \ (y * a(v5,u,K(w,z)))) \ 1,v6). [para(14402(a,2),12481(a,1,2,2))]. given #12960 (H,wt=24): 14405 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(13954(a,1),14404(a,1,2,2,1)),flip(a)]. given #12961 (H,wt=22): 14406 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [hyper(199,a,4878,a(flip),b,14405,a)]. given #12962 (H,wt=24): 14408 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(199,a,14045,a(flip),b,14406,a(flip))]. given #12963 (H,wt=22): 14410 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(199,a,11758,a(flip),b,14408,a(flip))]. given #12964 (H,wt=20): 14411 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(5567,a,14410,a)]. given #12965 (H,wt=18): 14412 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(199,a,5442,a(flip),b,14411,a)]. given #12966 (H,wt=22): 14413 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(14255(a,1),14412(a,1,1,2))]. given #12967 (H,wt=26): 14414 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(199,a,14259,a(flip),b,14413,a(flip)),flip(a)]. given #12968 (H,wt=26): 14416 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(199,a,14010,a(flip),b,14414,a)]. given #12969 (H,wt=22): 14417 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),14416(a,2,1,2,2))]. given #12970 (H,wt=32): 14418 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). [hyper(199,a,14011,a,b,14417,a(flip)),flip(a)]. given #12971 (H,wt=32): 14421 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). [hyper(199,a,13991,a(flip),b,14418,a)]. given #12972 (H,wt=24): 14422 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(5014(a,1),14421(a,2,1,2))]. given #12973 (H,wt=22): 14423 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(4912(a,1),14422(a,1,1,2,1,2,1))]. given #12974 (H,wt=18): 14424 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(8982(a,1),14423(a,1,1,2,1))]. given #12975 (H,wt=23): 14425 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(12695(a,1),14424(a,1,1,2))]. given #12976 (H,wt=19): 14426 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(14090,a,14425,a),flip(a)]. given #12977 (H,wt=16): 14427 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(161(a,1),14426(a,1,1))]. given #12978 (H,wt=16): 14428 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7420,a,14427,a)]. given #12979 (H,wt=12): 14429 K(L(x,K(y,z),u),w) = K(x,w). [hyper(13167,a,14428,a)]. given #12980 (H,wt=10): 14433 a(x,K(y,z),K(u,w)) = 1. [hyper(67,a,14429,a,b,10466,a),flip(a)]. given #12981 (H,wt=12): 14431 L(K(x,y),K(z,u),w) = K(y,x). [hyper(10474,a,14429,a)]. given #12982 (H,wt=12): 14439 x * a(y,K(z,u),K(w,v5)) = x. [para(14433(a,2),12(a,1,2))]. given #12983 (H,wt=15): 14440 L(K(x,y),K(z,u),w) != v5 | K(x,y) = v5. [para(14431(a,2),4862(a,1))]. given #12984 (H,wt=18): 14450 L(K(x,y),L(K(z,u),w,v5),v6) != v7 | K(x,y) = v7. [para(5573(a,1),14440(a,1,2))]. given #12985 (H,wt=19): 14442 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [hyper(13572,a,14439,a),flip(a)]. given #12986 (H,wt=21): 14438 K(x,y) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(14429(a,1),13573(a,1,1))]. given #12987 (H,wt=21): 14457 K(x,y) * ((K(z,u) * T(y,x)) * w) = (K(z,u) * y) * w. [hyper(5037,a,14438,a)]. given #12988 (H,wt=20): 14459 K(x,L(y,T(z,u),w)) * (z * w) = (K(x,y) * z) * w. [hyper(199,a,14165,a,b,14457,a(flip)),flip(a)]. given #12989 (H,wt=15): 14461 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [hyper(18,a,12918,a,b,14459,a)]. given #12990 (H,wt=15): 14462 L(K(x,y),T(z,u),w) = K(x,L(y,z,w)). [hyper(10436,a,14461,a)]. given #12991 (H,wt=18): 14464 L(K(x,y),T(z,u),w) != v5 | L(K(x,y),z,w) = v5. [para(14462(a,2),10436(a,1))]. given #12992 (H,wt=17): 14468 L(K(x,y),z * (u / z),w) = L(K(x,y),u,w). [hyper(14464,a,11746,a)]. given #12993 (H,wt=20): 14470 L(K(x,y),z / u,w) != v5 | L(K(x,y),u \ z,w) = v5. [para(170(a,1),14464(a,1,2))]. given #12994 (H,wt=22): 14465 L(K(x,T(y,z) \ (u * w)),y,u) = K(x,(u \ T(y,z)) \ w). [hyper(14464,a,14301,a)]. given #12995 (H,wt=22): 14466 L(K(x,(y * T(z,u)) \ w),z,y) = K(x,T(z,u) \ (y \ w)). [hyper(14464,a,14300,a)]. given #12996 (H,wt=20): 14473 L(K(x,(y * z) \ u),y,z) = K(x,T(y,z) \ (z \ u)). [para(105(a,1),14466(a,1,1,2,1))]. given #12997 (H,wt=23): 14469 L(K(x,y),T((1 / z) * u,w),1 / z) = L(K(x,y),z \ u,z). [hyper(14464,a,12654,a(flip)),flip(a)]. given #12998 (H,wt=21): 14476 L(K(x,y),T((1 / z) * u,w),1 / z) = L(K(x,y),u,z). [hyper(199,a,12569,a(flip),b,14469,a)]. given #12999 (H,wt=21): 14477 L(K(x,y),T((1 / z) * u,w),z \ 1) = L(K(x,y),u,z). [hyper(14002,a,14476,a)]. given #13000 (H,wt=19): 14478 L(K(x,y),T((1 / z) * u,w),z) = L(K(x,y),u,z). [hyper(12591,a,14477,a)]. given #13001 (H,wt=17): 14479 L(K(x,y),(1 / z) * u,z) = L(K(x,y),u,z). [hyper(14464,a,14478,a)]. given #13002 (H,wt=17): 14480 L(K(x,y),(z \ 1) * u,z) = L(K(x,y),u,z). [hyper(199,a,4492,a(flip),b,14479,a(flip)),flip(a)]. given #13003 (H,wt=24): 14471 L(K(x,T(y,z) \ (u * w)),y,u) = K(x,(u \ (z * (y / z))) \ w). [hyper(199,a,14313,a(flip),b,14468,a(flip))]. given #13004 (H,wt=21): 14483 K(x,(y \ (z * (u / z))) \ w) = K(x,(y \ T(u,z)) \ w). [hyper(199,a,14465,a(flip),b,14471,a(flip))]. given #13005 (H,wt=21): 14484 K(x,(y \ T(z * u,z)) \ w) = K(x,(y \ (u * z)) \ w). [para(194(a,1),14483(a,1,2,1,2)),flip(a)]. given #13006 (H,wt=25): 14456 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). [para(12062(a,2),14442(a,1,2))]. given #13007 (H,wt=25): 14467 L(K(x,y),(z \ u) \ 1,T(u,z)) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(14464,a,12701,a)]. given #13008 (H,wt=23): 14487 L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(13998,a,14467,a)]. given #13009 (H,wt=23): 14488 L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,((z \ u) \ 1) \ z). [hyper(199,a,3762,a(flip),b,14487,a)]. given #13010 (H,wt=21): 14490 L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,(z \ u) * z). [hyper(199,a,12649,a(flip),b,14488,a)]. given #13011 (H,wt=19): 14491 L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,T(u,z)). [hyper(199,a,11406,a(flip),b,14490,a)]. given #13012 (H,wt=20): 14492 L(K(x,y),(z \ u) \ 1,u) != w | L(K(x,y),z,u) = w. [para(14491(a,2),10017(a,1))]. given #13013 (H,wt=25): 14485 K(x,(y \ T(z * (u / z),w)) \ v5) = K(x,(y \ T(T(u,w),z)) \ v5). [para(4378(a,2),14483(a,1,2,1,2))]. given #13014 (H,wt=25): 14486 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). [para(12062(a,2),14456(a,2,2,1))]. given #13015 (H,wt=22): 14493 x \ ((x * y) * K(z,u)) = y * (a(x,y,K(z,u)) * K(z,u)). [hyper(199,a,14030,a,b,14486,a(flip)),flip(a)]. given #13016 (H,wt=22): 14494 x \ ((x * y) * K(z,u)) = y * (K(z,u) * a(x,y,K(z,u))). [hyper(199,a,13941,a(flip),b,14493,a)]. given #13017 (H,wt=24): 14495 (x \ y) * (K(z,u) * a(x,x \ y,K(z,u))) = x \ (y * K(z,u)). [para(14(a,1),14494(a,1,2,1)),flip(a)]. given #13018 (H,wt=19): 14497 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [para(14495(a,1),14126(a,1,2))]. given #13019 (H,wt=19): 14498 K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). [hyper(13297,a,14497,a)]. given #13020 (H,wt=19): 14500 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(199,a,13177,a,b,14498,a)]. given #13021 (H,wt=19): 14504 K(x,K(y,z) * (u \ (K(y,z) * w))) = K(x,u \ w). [para(5041(a,1),14500(a,1,2,2)),flip(a)]. given #13022 (H,wt=19): 14506 K(x,K(y,z) * ((u * K(y,z)) \ w)) = K(x,u \ w). [hyper(199,a,14221,a,b,14504,a(flip)),flip(a)]. given #13023 (H,wt=19): 14507 K(x,(y * K(z,u)) \ w) = K(x,K(z,u) * (y \ w)). [para(6222(a,1),14506(a,1,2,2,1)),flip(a)]. given #13024 (H,wt=19): 14508 K(x,(K(y,z) * u) \ w) = K(x,K(y,z) * (u \ w)). [hyper(13293,a,14507,a)]. given #13025 (H,wt=18): 14511 K(x,(K(y,x) * z) \ u) != w | K(x,z \ u) = w. [para(14508(a,2),6817(a,1))]. given #13026 (H,wt=19): 14509 K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(y,z)). [hyper(199,a,13177,a(flip),b,14508,a)]. given #13027 (H,wt=20): 14496 (x \ y) * L(K(z,u),x \ y,x) = x \ (y * K(z,u)). [para(8997(a,1),14495(a,1,2))]. given #13028 (H,wt=18): 14513 (x \ y) * L(K(z,u),y,x) = x \ (y * K(z,u)). [para(12569(a,1),14496(a,1,2))]. given #13029 (H,wt=20): 14514 (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). [para(12551(a,2),14513(a,1,2))]. given #13030 (H,wt=21): 14499 K(x,(y \ (z * u)) * K(u,w)) = K(x,y \ (z * T(u,w))). [para(5948(a,1),14497(a,1,2,2)),flip(a)]. given #13031 (H,wt=21): 14502 K(x,(y \ (z \ u)) * K(z,w)) = K(x,y \ (T(z,w) \ u)). [para(5074(a,1),14498(a,1,2,2)),flip(a)]. given #13032 (H,wt=21): 14503 x * K(x,K(y,z) * (u \ w)) = T(x,u \ (K(y,z) * w)). [para(14500(a,1),4652(a,2,2)),flip(a)]. given #13033 (H,wt=19): 14517 T(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)). [hyper(4655,a,14503,a),flip(a)]. given #13034 (H,wt=19): 14518 T(x,y \ (K(z,u) * w)) = T(x,(y \ w) * K(z,u)). [hyper(199,a,13134,a(flip),b,14517,a)]. given #13035 (H,wt=21): 14505 K(x,K(y,z) * (u \ (z * w))) = K(x,u \ (T(z,y) * w)). [para(5006(a,1),14500(a,1,2,2)),flip(a)]. given #13036 (H,wt=21): 14510 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [para(4669(a,1),14508(a,1,2,1)),flip(a)]. given #13037 (H,wt=21): 14515 a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). [para(14514(a,1),14345(a,1,1))]. given #13038 (H,wt=21): 14516 K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))). [hyper(13181,a,14499,a)]. given #13039 (H,wt=21): 14519 T(x,(y \ z) * K(u,y \ 1)) = T(x,T(y \ 1,u) * z). [hyper(199,a,12461,a(flip),b,14518,a(flip))]. given #13040 (H,wt=21): 14522 a((x * K(y,z)) \ u,w,w \ 1) = a(x \ u,w,w \ 1). [hyper(199,a,14353,a(flip),b,14515,a(flip))]. given #13041 (H,wt=21): 14523 K(x,(y * z) \ (u * T(y,z))) = K(x,(z * y) \ (u * y)). [para(9153(a,1),14516(a,1,2)),flip(a)]. given #13042 (H,wt=22): 14512 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u \ w) * K(y,z)) = v5. [para(14508(a,2),13180(a,1))]. given #13043 (H,wt=23): 14521 K(x,(T(y,z) * u) \ (z * w)) = K(x,(y * u) \ (T(z,y) * w)). [hyper(199,a,14505,a(flip),b,14510,a(flip))]. given #13044 (H,wt=23): 14524 T(T(x,K(y,z)),z * T(y \ 1,u)) = T(x,T(y \ 1,u) * z). [hyper(199,a,12665,a,b,14519,a(flip)),flip(a)]. given #13045 (H,wt=21): 14528 T(T(x,K(y,z)),z / T(y,u)) = T(x,T(y \ 1,u) * z). [hyper(199,a,13528,a(flip),b,14524,a(flip)),flip(a)]. given #13046 (H,wt=17): 14529 T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u). [hyper(13257,a,14528,a),flip(a)]. given #13047 (H,wt=17): 14530 T(x,T(1 / y,z) * u) = T(x,T(y,z) \ u). [hyper(12596,a,14529,a)]. given #13048 (H,wt=17): 14531 T(x,T(y \ 1,z) \ u) = T(x,T(y,z) * u). [hyper(199,a,4277,a(flip),b,14529,a(flip))]. given #13049 (H,wt=19): 14532 T(x,T(y,z \ u) \ w) = T(x,T(y,z * u) \ w). [hyper(199,a,13630,a(flip),b,14530,a(flip))]. given #13050 (H,wt=23): 14526 a((x \ K(y,z)) \ u,w,w \ 1) = a((x \ 1) \ u,w,w \ 1). [para(12323(a,1),14522(a,1,1,1))]. given #13051 (H,wt=23): 14527 K(x,(y * z) \ (u * (z \ (y * z)))) = K(x,(z * y) \ (u * y)). [para(32(a,1),14523(a,1,2,2,2))]. given #13052 (H,wt=21): 14535 K(x,(y * T(z,u)) / (y * u)) = K(x,(u * y) \ (z * y)). [hyper(199,a,14135,a(flip),b,14527,a(flip)),flip(a)]. given #13053 (H,wt=21): 14536 K(x,(y * z) \ (T(u,y) * z)) = K(x,(z * u) / (z * y)). [para(47(a,1),14535(a,1,2,1,2)),flip(a)]. given #13054 (H,wt=21): 14539 K(x,(T(y,z) * u) \ (z * u)) = K(x,(u * z) / (u * y)). [hyper(199,a,14521,a,b,14536,a(flip)),flip(a)]. given #13055 (H,wt=23): 14533 T(x,T(y \ 1,z \ u) \ w) = T(x,T(y,(u \ z) \ 1) * w). [para(6132(a,1),14531(a,1,2,1))]. given #13056 (H,wt=23): 14541 T(x,T(y \ 1,z * u) \ w) = T(x,T(y,(u \ z) \ 1) * w). [hyper(199,a,14532,a(flip),b,14533,a(flip)),flip(a)]. given #13057 (H,wt=21): 14542 T(x,T(y,(z \ u) \ 1) * w) = T(x,T(y,u * z) * w). [hyper(199,a,14531,a(flip),b,14541,a(flip))]. given #13058 (H,wt=19): 14543 T(x,T(y,z \ u) * w) = T(x,T(y,z * u) * w). [para(6132(a,1),14542(a,1,2,1))]. given #13059 (H,wt=19): 14544 T(x,T(y,z * u) * (z \ u)) = T(x,(z \ u) * y). [hyper(11667,a,14543,a),flip(a)]. given #13060 (H,wt=24): 14537 L(K(x,(y * z) \ (u * z)),z,y) = K(x,((z * T(u,y)) / y) / z). [para(14535(a,1),14302(a,1,1))]. given #13061 (H,wt=21): 14545 K(x,((y * T(z,u)) / u) / y) = K(x,y \ (u \ (z * y))). [hyper(199,a,14300,a(flip),b,14537,a(flip))]. given #13062 (H,wt=24): 14540 L(K(x,(y * z) / (y * u)),y,u) = K(x,y \ (T(u,z) \ (z * y))). [para(14539(a,1),14306(a,1,1))]. given #13063 (H,wt=21): 14546 K(x,y \ (T(z,u) \ (u * y))) = K(x,((y * u) / z) / y). [hyper(199,a,14302,a(flip),b,14540,a(flip))]. given #13064 (H,wt=25): 14520 K(x,K(y,z \ u) * ((y * w) \ v5)) = K(x,(T(y,z * u) * w) \ v5). [hyper(199,a,13554,a,b,14510,a(flip)),flip(a)]. given #13065 (H,wt=23): 14547 K(x,(T(y,z \ u) * w) \ v5) = K(x,(T(y,z * u) * w) \ v5). [hyper(199,a,14510,a(flip),b,14520,a(flip)),flip(a)]. given #13066 (H,wt=23): 14548 K(x,(T(y,z * u) * (T(y,z \ u) \ w)) \ v5) = K(x,w \ v5). [para(14(a,1),14547(a,1,2,1)),flip(a)]. given #13067 (H,wt=23): 14550 K(x,(K(y,z * u) * (K(y,z \ u) * w)) \ v5) = K(x,w \ v5). [para(5105(a,2),14548(a,1,2,1))]. given #13068 (H,wt=25): 14534 x \ T(T(x,y) * a(z,u,u \ 1),y) = a((z \ 1) \ 1,u,u \ 1). [hyper(199,a,14372,a(flip),b,14526,a(flip)),flip(a)]. given #13069 (H,wt=21): 14553 x \ T(T(x,y) * a(z,u,u \ 1),y) = a(z,u,u \ 1). [hyper(199,a,14343,a(flip),b,14534,a)]. given #13070 (H,wt=21): 14555 T(T(x,y) * a(z,u,u \ 1),y) = x * a(z,u,u \ 1). [para(14553(a,1),14(a,1,2)),flip(a)]. given #13071 (H,wt=21): 14556 T(x * a(y,z,z \ 1),u) = T(x,u) * a(y,z,z \ 1). [para(14555(a,1),47(a,1,1))]. given #13072 (H,wt=23): 14557 x \ T(x * a(y,z,z \ 1),u) = a(y,z,z \ 1) * K(x,u). [hyper(68,a,14556,a,b,13923,a)]. given #13073 (H,wt=14): 14558 K(x,y * a(z,u,u \ 1)) = K(y,x). [hyper(12411,a,14557,a)]. given #13074 (H,wt=14): 14559 K(x,y * a(z,u,u \ 1)) = K(x,y). [hyper(199,a,4738,a,b,14558,a)]. given #13075 (H,wt=16): 14560 K(x,y \ a(z,u,u \ 1)) = K(x,y \ 1). [hyper(12440,a,14559,a)]. given #13076 (H,wt=18): 14561 K(x,(y \ L(z,u,u \ 1)) \ 1) = K(x,z \ y). [hyper(14384,a,14560,a),flip(a)]. given #13077 (H,wt=16): 14563 K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). [hyper(6055,a,14561,a)]. given #13078 (H,wt=17): 14564 K(x,y \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(199,a,14307,a(flip),b,14563,a(flip))]. given #13079 (H,wt=18): 14562 K(x,y \ L(z,u,u \ 1)) = K(x,(z \ y) \ 1). [hyper(199,a,12670,a(flip),b,14560,a(flip)),flip(a)]. given #13080 (H,wt=16): 14568 K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). [hyper(199,a,6005,a(flip),b,14562,a)]. given #13081 (H,wt=17): 14571 K(x,(y * (z \ 1)) \ u) = K(x,(y / z) \ u). [hyper(199,a,14332,a(flip),b,14568,a(flip))]. given #13082 (H,wt=17): 14572 K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). [para(2820(a,1),14568(a,1,2,2)),flip(a)]. given #13083 (H,wt=19): 14569 K(x,y \ L(z,u,u \ 1)) != w | K(x,y \ z) = w. [para(14562(a,2),6055(a,1))]. given #13084 (H,wt=21): 14573 K(x,(y * z) \ (z * (z * u))) = K(x,(y * (z \ 1)) \ u). [hyper(199,a,14325,a,b,14571,a),flip(a)]. given #13085 (H,wt=25): 14575 K(x,(y * (z \ 1)) \ L(u,w,w \ 1)) != v5 | K(x,(y / z) \ u) = v5. [para(14571(a,2),14569(a,1))]. given #13086 (H,wt=20): 14577 K(x,(y * (z \ 1)) \ u) != w | K(x,(y / z) \ u) = w. [para(281(a,1),14575(a,1,2,2))]. given #13087 (H,wt=18): 14578 K(x,(y \ 1) \ z) != u | K(x,(1 / y) \ z) = u. [para(11(a,1),14577(a,1,2,1))]. given #13088 (H,wt=26): 14481 L(K(x,y \ (z * ((z \ 1) * u))),u,z) = K(x,(z \ y) \ ((z \ 1) * u)). [hyper(199,a,14298,a(flip),b,14480,a(flip))]. given #13089 (H,wt=25): 14579 L(K(x,y \ L(z,u \ 1,u)),z,u) = K(x,(u \ y) \ ((u \ 1) * z)). [para(173(a,1),14481(a,1,1,2,2))]. given #13090 (H,wt=26): 14549 K(x,(T(y,z * u) * (z \ u)) \ w) != v5 | K(x,((z \ u) * y) \ w) = v5. [para(14547(a,1),13295(a,1))]. given #13091 (H,wt=27): 14501 K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,(y \ (z \ w)) * K(u,z \ 1)). [hyper(199,a,11799,a,b,14498,a(flip)),flip(a)]. given #13092 (H,wt=25): 14580 K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,(y \ (z \ w)) * K(z,u)). [hyper(199,a,11704,a(flip),b,14501,a)]. given #13093 (H,wt=23): 14581 K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,y \ (T(z,u) \ w)). [hyper(199,a,14502,a(flip),b,14580,a)]. given #13094 (H,wt=21): 14582 K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ (T(z,u) \ w)). [hyper(199,a,14572,a(flip),b,14581,a(flip)),flip(a)]. given #13095 (H,wt=23): 14583 K(x,y \ (((z \ u) \ u) \ w)) = K(x,y \ (T(z \ 1,u) * w)). [hyper(199,a,11619,a,b,14582,a),flip(a)]. given #13096 (H,wt=25): 14584 K(x,y \ ((((z \ u) \ u) \ 1) * w)) = K(x,y \ (T(z \ 1,u) * w)). [hyper(199,a,14564,a,b,14583,a(flip)),flip(a)]. given #13097 (H,wt=25): 14585 K(x,y \ ((z \ K(z,z \ u)) * w)) = K(x,y \ (T(z \ 1,u) * w)). [hyper(199,a,6563,a(flip),b,14584,a(flip)),flip(a)]. given #13098 (H,wt=28): 14538 L(K(x,(y * z) \ (u * z)),z * y,T(u,y)) = K(x,z / ((z * y) / T(u,y))). [para(14535(a,1),14304(a,1,1))]. given #13099 (H,wt=26): 14586 L(K(x,(y * z) \ (u * z)),z * y,u) = K(x,z / ((z * y) / T(u,y))). [hyper(13998,a,14538,a)]. given #13100 (H,wt=31): 14551 K(x,(K(y,z * u) * T(w \ y,K(y,z \ u))) \ v5) = K(x,(w \ T(y,z \ u)) \ v5). [para(12494(a,1),14550(a,1,2,1,2))]. given #13101 (H,wt=31): 14588 K(x,(K(y,z * u) * T(w \ y,K(y,z * u))) \ v5) = K(x,(w \ T(y,z \ u)) \ v5). [para(13231(a,1),14551(a,1,2,1,2))]. given #13102 (H,wt=25): 14589 K(x,((y \ z) * K(z,u * w)) \ v5) = K(x,(y \ T(z,u \ w)) \ v5). [para(105(a,1),14588(a,1,2,1))]. given #13103 (H,wt=23): 14590 K(x,(y \ T(z,u \ w)) \ v5) = K(x,(y \ T(z,u * w)) \ v5). [para(12491(a,1),14589(a,1,2,1)),flip(a)]. given #13104 (H,wt=25): 14591 K(x,(y \ T(z,u \ (w \ u))) \ v5) = K(x,(y \ T(z,w * z)) \ v5). [hyper(199,a,14140,a,b,14590,a(flip)),flip(a)]. given #13105 (H,wt=23): 14592 K(x,(y \ T(z,u \ (w \ u))) \ v5) = K(x,(y \ T(z,w)) \ v5). [hyper(199,a,11700,a(flip),b,14591,a)]. given #13106 (H,wt=23): 14593 K(x,(y \ T(z,u * (w \ u))) \ v5) = K(x,(y \ T(z,w)) \ v5). [hyper(199,a,14590,a(flip),b,14592,a(flip)),flip(a)]. given #13107 (H,wt=27): 14594 K(x,(y \ T(z * (u / z),z)) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). [hyper(199,a,11821,a(flip),b,14593,a(flip))]. given #13108 (H,wt=25): 14596 K(x,(y \ (z * T(u / z,u))) \ w) = K(x,(y \ ((u / z) * z)) \ w). [hyper(199,a,14484,a(flip),b,14594,a(flip))]. given #13109 (H,wt=21): 14597 K(x,(y \ (z * T(u / z,u))) \ w) = K(x,(y \ u) \ w). [para(16(a,1),14596(a,2,2,1,2))]. given #13110 (H,wt=33): 14472 L(L(K(x,T(y / z,T(u,w))),z,z \ T(u,w)),u,y) = K(x,(y \ T(u,w)) \ (z \ T(u,w))). [para(12894(a,2),14465(a,1,1))]. given #13111 (H,wt=31): 14598 L(L(K(x,T(y / z,u)),z,z \ T(u,w)),u,y) = K(x,(y \ T(u,w)) \ (z \ T(u,w))). [para(13066(a,1),14472(a,1,1,1))]. given #13112 (H,wt=33): 14474 L(L(K(x,T(y / z,T(u,w) * z)),z,T(u,w)),u,z) = K(x,T(u,w) \ (z \ (y * T(u,w)))). [para(13063(a,2),14466(a,1,1))]. given #13113 (H,wt=31): 14600 L(L(K(x,T(y / z,z * u)),z,T(u,w)),u,z) = K(x,T(u,w) \ (z \ (y * T(u,w)))). [para(13417(a,1),14474(a,1,1,1))]. given #13114 (H,wt=29): 14602 L(L(K(x,T(y / z,z * u)),z,u),u,z) = K(x,T(u,w) \ (z \ (y * T(u,w)))). [para(13997(a,1),14600(a,1,1))]. given #13115 (H,wt=26): 14603 L(K(x,(y * z) \ (u * z)),z,y) = K(x,T(z,w) \ (y \ (u * T(z,w)))). [para(12893(a,1),14602(a,1,1))]. given #13116 (H,wt=23): 14605 K(x,T(y,z) \ (u \ (w * T(y,z)))) = K(x,y \ (u \ (w * y))). [hyper(199,a,14300,a(flip),b,14603,a(flip))]. given #13117 (H,wt=34): 14475 L(K(x,((1 / (y \ z)) * z) \ u),1 / (y \ z),z) = K(x,(((1 / (y \ z)) \ y) \ y) \ (z \ u)). [para(9857(a,1),14473(a,2,2,1))]. given #13118 (H,wt=34): 14606 L(K(x,(((y \ z) \ 1) * z) \ u),1 / (y \ z),z) = K(x,(((1 / (y \ z)) \ y) \ y) \ (z \ u)). [para(5503(a,1),14475(a,1,1))]. given #13119 (H,wt=34): 14607 L(K(x,(y * ((y / z) \ 1)) \ u),1 / (z \ y),y) = K(x,(((1 / (z \ y)) \ z) \ z) \ (y \ u)). [para(11713(a,1),14606(a,1,1))]. given #13120 (H,wt=34): 14608 L(K(x,(y * ((y / z) \ 1)) \ u),(z \ y) \ 1,y) = K(x,(((1 / (z \ y)) \ z) \ z) \ (y \ u)). [hyper(14470,a,14607,a)]. given #13121 (H,wt=30): 14609 L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,(((1 / (z \ y)) \ z) \ z) \ (y \ u)). [hyper(14492,a,14608,a)]. given #13122 (H,wt=28): 14610 L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,T(1 / (z \ y),z) \ (y \ u)). [hyper(199,a,11547,a(flip),b,14609,a)]. given #13123 (H,wt=26): 14611 L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,T(z \ y,z) * (y \ u)). [hyper(199,a,13388,a(flip),b,14610,a)]. given #13124 (H,wt=24): 14612 L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,(y / z) * (y \ u)). [para(170(a,1),14611(a,2,2,1))]. given #13125 (H,wt=22): 14613 L(K(x,(y / (y / z)) \ u),z,y) = K(x,(y / z) * (y \ u)). [para(14571(a,1),14612(a,1,1))]. given #13126 (H,wt=22): 14614 L(K(x,((y \ z) \ z) \ u),y,z) = K(x,(z / y) * (z \ u)). [para(3909(a,1),14613(a,1,1,2,1))]. given #13127 (H,wt=20): 14615 L(K(x,T(y,z) \ u),y,z) = K(x,(z / y) * (z \ u)). [para(11547(a,1),14614(a,1,1))]. given #13128 (H,wt=19): 14616 K(x,(y * z) \ (z * u)) = K(x,(z / y) * (z \ u)). [hyper(199,a,10511,a(flip),b,14615,a(flip)),flip(a)]. given #13129 (H,wt=21): 14617 K(x,(y / z) * (y \ (y * u))) = K(x,(z * (y \ 1)) \ u). [hyper(199,a,14573,a(flip),b,14616,a(flip))]. given #13130 (H,wt=17): 14618 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [para(13(a,1),14617(a,1,2,2)),flip(a)]. given #13131 (H,wt=15): 14619 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(14577,a,14618,a)]. given #13132 (H,wt=18): 14620 L(K(x,y * (z \ u)),u,z) = K(x,(y / z) * u). [hyper(12599,a,14618,a)]. given #13133 (H,wt=18): 14623 K(x,(y / z) \ x) != u | K(x,x * (z / y)) = u. [para(14619(a,2),6849(a,1))]. given #13134 (H,wt=19): 14621 K(x / y,(y / x) * z) = K(y \ x,(x \ z) * y). [hyper(199,a,13605,a(flip),b,14618,a(flip))]. given #13135 (H,wt=23): 14624 K(x,(y / z) * u) * K(x,K(u,z * y)) = K(x,u / (z / y)). [para(14619(a,1),13386(a,1,1))]. given #13136 (H,wt=15): 14626 K(x,y / (z / u)) = K(x,y * (u / z)). [hyper(13227,a,14624,a),flip(a)]. given #13137 (H,wt=25): 14625 ((x / y) * z) * (z / ((x / y) * z)) = z * K(x \ y,(y \ z) * x). [para(14621(a,1),5644(a,2,2))]. given #13138 (H,wt=23): 14628 ((x / y) * z) * (z / ((x / y) * z)) = (y / x) * (z / (y / x)). [hyper(199,a,13599,a(flip),b,14625,a)]. given #13139 (H,wt=25): 14627 K(x,(T(T(y,z),u) \ w) * (T(y,u) / z)) = K(x,(y * w) / (y * z)). [hyper(199,a,14381,a(flip),b,14626,a(flip))]. given #13140 (H,wt=41): 14385 L(K(x,L(K(y,z),u,w) * (T(v5,K(y,z)) \ v6)),L(K(y,z),u,w),T(v5,K(y,z))) = K(x,(L(K(y,z),u,w) * v5) \ v6). [para(5774(a,1),14072(a,1,1,2))]. given #13141 (H,wt=37): 14629 L(K(x,L(K(y,z),u,w) * (v5 \ v6)),L(K(y,z),u,w),T(v5,K(y,z))) = K(x,(L(K(y,z),u,w) * v5) \ v6). [para(13327(a,1),14385(a,1,1))]. given #13142 (H,wt=25): 14630 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,L(K(y,z),u,w) * (v5 \ v6)). [hyper(14450,a,14629,a),flip(a)]. given #13143 (H,wt=36): 14632 L(K(x,L(K(y,z),u,w) * (v5 \ (u * w))),u * w,L(K(y,z),u,w)) = K(x,v5 \ ((K(y,z) * u) * w)). [para(14630(a,1),12992(a,1,1))]. given #13144 (H,wt=26): 14633 K(x,L(K(y,z),u,w) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). [hyper(13933,a,14632,a)]. given #13145 (H,wt=42): 14055 T(x,K(y,z)) / ((z * a(u,w,K(v5,v6))) * T((z * a(u,w,K(v5,v6))) \ x,y)) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(14051(a,1),9256(a,1,1,2))]. given #13146 (H,wt=42): 14634 T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(u,w,K(v5,v6)) \ (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(784(a,1),14055(a,1,2))]. given #13147 (H,wt=42): 14635 T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(v6,w,K(v5,u)) * (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(12300(a,1),14634(a,1,2,2,2,1))]. given #13148 (H,wt=42): 14636 T(x,K(y,z)) / (z * T((a(u,w,K(v5,v6)) * (z \ x)) * a(v6,w,K(v5,u)),y)) = K(y,(x \ (z * a(v6,w,K(v5,u)))) \ 1). [para(14402(a,2),14635(a,1,2,2))]. given #13149 (H,wt=28): 14637 K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = T(y,K(x,z)) / (z * T(z \ y,x)). [para(13954(a,1),14636(a,1,2,2,1)),flip(a)]. given #13150 (H,wt=22): 14638 K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = K(x,(y \ z) \ 1). [hyper(199,a,9256,a(flip),b,14637,a)]. given #13151 (H,wt=22): 14640 K(x,(y \ (a(z,u,K(w,v5)) * v6)) \ 1) = K(x,(y \ v6) \ 1). [para(13906(a,2),14638(a,1,2,1,2))]. given #13152 (H,wt=20): 14641 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,(v6 \ v5) \ 1). [hyper(6055,a,14640,a)]. given #13153 (H,wt=18): 14642 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [hyper(199,a,6005,a(flip),b,14641,a)]. given #13154 (H,wt=22): 14643 K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,u \ v6). [hyper(199,a,14272,a,b,14642,a(flip)),flip(a)]. given #13155 (H,wt=22): 14645 K(x,(K(y,z) * u) \ (L(K(y,z),w,v5) * v6)) = K(x,u \ v6). [para(5008(a,1),14643(a,1,2,1))]. given #13156 (H,wt=22): 14646 K(x,y \ ((L(K(z,u),w,v5) * v6) * K(u,z))) = K(x,y \ v6). [hyper(13994,a,14645,a)]. given #13157 (H,wt=22): 14647 K(x,y \ (L(K(z,u),w,v5) * (v6 * K(u,z)))) = K(x,y \ v6). [para(13918(a,1),14646(a,1,2,2))]. given #13158 (H,wt=22): 14648 K(x,y \ T(z * a(u,w,K(v5,v6)),K(u,v6))) = K(x,y \ z). [para(14398(a,2),14647(a,1,2,2))]. given #13159 (H,wt=18): 14649 K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,y \ z). [hyper(13279,a,14648,a)]. given #13160 (H,wt=16): 14652 K(x,y \ L(z,u,K(w,v5))) = K(x,y \ z). [para(14172(a,1),14649(a,1,2,2))]. given #13161 (H,wt=18): 14654 K(x,y \ T(z,L(u,w,v5))) = K(x,y \ T(z,u)). [para(14195(a,1),14652(a,1,2,2))]. given #13162 (H,wt=23): 14653 K(x,(y * a(z,u,w)) \ (v5 * (a(z,u,w) * y))) = K(x,T(v5,y)). [hyper(199,a,14181,a(flip),b,14652,a(flip))]. given #13163 (H,wt=23): 14655 K(x,y \ T(z,(u \ w) \ v5)) = K(x,y \ T(z,w \ (u * v5))). [para(409(a,1),14654(a,1,2,2,2)),flip(a)]. given #13164 (H,wt=23): 14657 K(x,T(K(y,a(z,u,w)) * v5,a(z,u,w) * y)) = K(x,T(v5,y)). [para(11428(a,1),14653(a,1,2))]. given #13165 (H,wt=23): 14658 K(x,y \ T(z,(u \ w) \ v5)) = K(x,y \ T(z,w * (u * v5))). [hyper(199,a,13562,a(flip),b,14655,a)]. given #13166 (H,wt=23): 14659 K(x,T(a(y,z,K(u,w)) * v5,a(u,z,w) * y)) = K(x,T(v5,y)). [para(12276(a,2),14657(a,1,2,1,1))]. given #13167 (H,wt=16): 14661 K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). [hyper(199,a,14129,a(flip),b,14659,a(flip)),flip(a)]. given #13168 (H,wt=22): 14664 K(x,K(y,T(a(z,u,w) * v5,v6))) = K(x,y) * K(x,T(y,v5)). [para(14661(a,1),13076(a,2,2))]. given #13169 (H,wt=18): 14665 K(x,K(y,T(a(z,u,w) * v5,v6))) = K(x,K(y,v5)). [hyper(199,a,7779,a(flip),b,14664,a)]. given #13170 (H,wt=16): 14666 K(x,K(y,a(z,u,w) * v5)) = K(x,K(y,v5)). [hyper(13095,a,14665,a)]. given #13171 (H,wt=23): 14660 K(x,y \ T(z,(u \ w) * v5)) = K(x,y \ T(z,w * (u * v5))). [hyper(199,a,13562,a(flip),b,14658,a(flip)),flip(a)]. given #13172 (H,wt=23): 14667 K(x,K(y,z)) * (a(u,w,v5) * z) = T(a(u,w,v5) * z,K(x,y)). [para(14666(a,1),7727(a,1,1))]. given #13173 (H,wt=21): 14670 T(a(x,y,z) * u,K(w,v5)) = a(x,y,z) * T(u,K(w,v5)). [hyper(13188,a,14667,a),flip(a)]. given #13174 (H,wt=26): 14650 K(x,(y * (a(z,u,K(w,v5)) / v6)) \ y) = L(K(x,v6),a(z,u,K(w,v5)),y). [hyper(6404,a,14649,a),flip(a)]. given #13175 (H,wt=22): 14672 L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y / a(z,u,K(w,v5))). [hyper(6193,a,14650,a),flip(a)]. given #13176 (H,wt=15): 14674 L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y). [hyper(199,a,14052,a(flip),b,14672,a)]. given #13177 (H,wt=17): 14675 K(x,y / a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(14672(a,1),3860(a,1)),flip(b)]. given #13178 (H,wt=17): 14678 K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(10983(a,1),14675(a,1,2))]. given #13179 (H,wt=18): 14677 K(x,y / (z * a(u,w,K(v5,v6)))) = K(x,y / z). [hyper(199,a,14249,a(flip),b,14674,a(flip)),flip(a)]. given #13180 (H,wt=16): 14682 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(14172(a,1),14677(a,1,2,2))]. given #13181 (H,wt=20): 14683 K(x,(y \ (z * u)) / ((y \ z) * u)) = a(y,z,K(x,u)). [hyper(199,a,14379,a(flip),b,14682,a(flip))]. given #13182 (H,wt=21): 14679 K(x,T(a(y,z,K(u,w)) * v5,v6)) != v7 | K(x,T(v5,v6)) = v7. [para(14128(a,2),14678(a,1))]. given #13183 (H,wt=21): 14680 K(x,L(K(y,z),u,w) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(14255(a,1),14678(a,1,2))]. given #13184 (H,wt=23): 14685 K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). [hyper(14680,a,14633,a),flip(a)]. given #13185 (H,wt=28): 14669 K(x,((y \ z) * u) \ T(w,z * (y * u))) != v5 | K(x,w / ((y \ z) * u)) = v5. [para(14660(a,1),11567(a,1))]. given #13186 (H,wt=32): 14671 a(x,y,z) \ (u \ T(T(a(x,y,z) * u,K(w,v5)),K(w,v5))) = a(K(w,v5) * u,y,K(x,z)). [para(14670(a,2),13012(a,1,2,2,1))]. given #13187 (H,wt=24): 14687 a(K(x,y) * z,u,K(w,v5)) = a(w,u,v5) \ (z \ (a(w,u,v5) * z)). [para(47(a,1),14671(a,1,2,2)),flip(a)]. given #13188 (H,wt=22): 14688 a(K(x,y) * z,u,K(w,v5)) = a(w,u,v5) \ T(a(w,u,v5),z). [para(32(a,2),14687(a,2,2))]. given #13189 (H,wt=17): 14690 a(K(x,y) * z,u,K(w,v5)) = K(a(w,u,v5),z). [hyper(199,a,4599,a,b,14688,a)]. given #13190 (H,wt=17): 14691 a(K(x,y) * z,u,K(w,v5)) = a(z,u,K(w,v5)). [hyper(199,a,12283,a,b,14690,a)]. given #13191 (H,wt=17): 14692 a(x,y,K(z,u * K(w,v5))) = a(u,y,K(x,z)). [hyper(199,a,13972,a(flip),b,14691,a(flip)),flip(a)]. given #13192 (H,wt=17): 14693 a(x,y,K(z,u \ K(w,v5))) = a(u,y,K(x,z)). [hyper(199,a,14004,a,b,14692,a(flip)),flip(a)]. given #13193 (H,wt=21): 14695 L(K(x,y),z,K(u,w) / v5) = K(x,y) * a(v5,z,K(x,y)). [para(14693(a,1),13971(a,1,2)),flip(a)]. given #13194 (H,wt=17): 14696 L(K(x,y),z,K(u,w) / v5) = L(K(x,y),z,v5). [hyper(199,a,8997,a(flip),b,14695,a)]. given #13195 (H,wt=17): 14697 L(K(x,y),z,u \ K(w,v5)) = L(K(x,y),z,u). [hyper(14002,a,14696,a)]. given #13196 (H,wt=17): 14699 L(K(x,y),z,K(u,w) * v5) = L(K(x,y),z,v5). [hyper(199,a,12647,a(flip),b,14697,a(flip))]. given #13197 (H,wt=19): 14700 L(K(x,y),z,u \ T(w,v5)) = L(K(x,y),z,u \ w). [para(5313(a,1),14699(a,1,3)),flip(a)]. given #13198 (H,wt=29): 14698 L(K(x,y \ L(z,u \ 1,u)),z,u) = K(x,(y / u) \ ((u \ K(u,u \ y)) * z)). [hyper(199,a,14377,a(flip),b,14697,a(flip))]. given #13199 (H,wt=27): 14703 K(x,(y / z) \ ((z \ K(z,z \ y)) * u)) = K(x,(z \ y) \ ((z \ 1) * u)). [hyper(199,a,14579,a(flip),b,14698,a(flip))]. given #13200 (H,wt=25): 14704 K(x,(y / z) \ (T(z \ 1,y) * u)) = K(x,(z \ y) \ ((z \ 1) * u)). [hyper(199,a,14585,a(flip),b,14703,a(flip)),flip(a)]. given #13201 (H,wt=23): 14705 K(x,(y / z) \ (T(z \ 1,y) * u)) = K(x,(z \ y) \ (z \ u)). [hyper(199,a,14564,a(flip),b,14704,a)]. given #13202 (H,wt=23): 14706 K(x,(y / z) \ (T(z \ 1,y) * u)) = K(x,(z * y) \ (z * u)). [hyper(199,a,14318,a(flip),b,14705,a)]. given #13203 (H,wt=21): 14707 K(x,(y / z) \ (T(z,y) \ u)) = K(x,(z * y) \ (z * u)). [hyper(199,a,14582,a(flip),b,14706,a(flip)),flip(a)]. given #13204 (H,wt=21): 14708 K(x,(y / z) * (T(y,z) \ u)) = K(x,(y * z) \ (y * u)). [hyper(199,a,14619,a(flip),b,14707,a(flip)),flip(a)]. given #13205 (H,wt=19): 14709 K(x,(y * z) \ (y * u)) = K(x,(z \ y) * (y \ u)). [hyper(199,a,11774,a(flip),b,14708,a(flip))]. given #13206 (H,wt=19): 14710 K(x,(y \ z) * (z \ (z * u))) = K(x,(z \ y) \ u). [hyper(199,a,14310,a(flip),b,14709,a(flip))]. given #13207 (H,wt=15): 14711 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [para(13(a,1),14710(a,1,2,2)),flip(a)]. given #13208 (H,wt=20): 14713 K(x,L(y \ 1,y,z) \ u) = K(x,(z \ (z * y)) * u). [hyper(199,a,13286,a,b,14711,a(flip)),flip(a)]. given #13209 (H,wt=16): 14715 K(x,L(y \ 1,y,z) \ u) = K(x,y * u). [para(13(a,1),14713(a,2,2,1))]. given #13210 (H,wt=23): 14717 L(K(x,y * (z \ u)),u,z) = K(x,(z * L(y \ 1,y,w)) \ u). [para(14715(a,1),12572(a,1,1))]. given #13211 (H,wt=20): 14718 K(x,(y * L(z \ 1,z,u)) \ w) = K(x,(z / y) * w). [hyper(199,a,14620,a(flip),b,14717,a(flip))]. given #13212 (H,wt=19): 14719 K(x,(y * (z \ u)) \ w) = K(x,((u \ z) / y) * w). [para(306(a,1),14718(a,1,2,1,2))]. given #13213 (H,wt=23): 14720 K(x,((y \ z) / T(u,z * y)) * w) = K(x,((z \ y) * u) \ w). [hyper(14549,a,14719,a),flip(a)]. given #13214 (H,wt=19): 14721 K(x,((y \ z) * u) \ w) = K(x,(u \ (z \ y)) * w). [hyper(199,a,14099,a(flip),b,14720,a(flip))]. given #13215 (H,wt=24): 14716 T(x,T(L(y \ 1,y,z) \ u,w)) = w * (K(x,y * u) * (w \ x)). [para(14715(a,1),12485(a,1,2,1)),flip(a)]. given #13216 (H,wt=20): 14723 T(x,T(L(y \ 1,y,z) \ u,w)) = T(x,T(y * u,w)). [hyper(199,a,12485,a(flip),b,14716,a)]. given #13217 (H,wt=19): 14724 T(x,T(((y * z) \ y) \ u,w)) = T(x,T(z * u,w)). [hyper(9008,a,14723,a)]. given #13218 (H,wt=19): 14725 T(x,T((y / z) \ u,w)) = T(x,T((z / y) * u,w)). [hyper(13569,a,14724,a)]. given #13219 (H,wt=23): 14726 T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u / (z / y)). [hyper(13637,a,14725,a),flip(a)]. given #13220 (H,wt=15): 14727 T(x,y / (z / u)) = T(x,y * (u / z)). [hyper(199,a,13616,a(flip),b,14726,a(flip))]. given #13221 (H,wt=20): 14728 T(x,y * (z / T(u,L(z,w,v5)))) = T(x,y / (z \ u)). [hyper(199,a,14226,a(flip),b,14727,a(flip))]. given #13222 (H,wt=15): 14729 T(x,y / (z \ u)) = T(x,y * (u \ z)). [hyper(199,a,14244,a(flip),b,14728,a(flip))]. given #13223 (H,wt=25): 14712 L(L(K(x,T(y,z)),z,u \ z),z,u) = K(x,(z \ u) * ((y \ u) \ z)). [hyper(199,a,14356,a,b,14711,a(flip)),flip(a)]. given #13224 (H,wt=25): 14714 K(x,(y \ (z * u)) * (u \ (z \ y))) != w | a(x,u,K(z,u \ y)) = w. [para(14711(a,1),14371(a,1))]. given #13225 (H,wt=28): 14722 K(x,(y \ (z \ u)) * T(w,z * (u * y))) != v5 | K(x,w / ((u \ z) * y)) = v5. [para(14721(a,1),14669(a,1))]. given #13226 (H,wt=29): 14701 L(L(K(x,T(y / z,u)),z,z \ u),u,y) = K(x,(y \ T(u,w)) \ (z \ T(u,w))). [para(14700(a,1),14598(a,1,1))]. given #13227 (H,wt=26): 14730 L(K(x,y \ (z * (u \ y))),y,z) = K(x,(z \ T(y,w)) \ (u \ T(y,w))). [para(12894(a,1),14701(a,1,1))]. given #13228 (H,wt=23): 14732 K(x,(y \ T(z,u)) \ (w \ T(z,u))) = K(x,(y \ z) \ (w \ z)). [hyper(199,a,14301,a(flip),b,14730,a(flip))]. given #13229 (H,wt=32): 14686 L(K(x,K(y,z) * ((y * z) \ (u * w))),y * z,K(z,y) * u) = K(x,(u \ (z * y)) \ w). [para(14685(a,1),14378(a,1,1))]. given #13230 (H,wt=28): 14733 L(K(x,(y * z) \ (u * w)),z * y,K(y,z) * u) = K(x,(u \ (y * z)) \ w). [para(9153(a,1),14686(a,1,1,2))]. given #13231 (H,wt=24): 14734 L(K(x,(y * z) \ (u * w)),z * y,u) = K(x,(u \ (y * z)) \ w). [hyper(199,a,14699,a(flip),b,14733,a(flip)),flip(a)]. given #13232 (H,wt=21): 14736 K(x,y / ((y * z) / T(u,z))) = K(x,(u \ (z * y)) \ y). [hyper(199,a,14586,a(flip),b,14734,a(flip)),flip(a)]. given #13233 (H,wt=51): 14101 K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,((((z \ u) / T(y,u * z)) * w) \ w) \ w). [para(3880(a,1),14099(a,1,2)),flip(a)]. given #13234 (H,wt=51): 14327 L(L(K(x,T(y \ z,(y * (z / y)) * u)),z,z \ ((y * (z / y)) * u)),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). [para(12932(a,1),14315(a,2,2,2))]. given #13235 (H,wt=47): 14738 L(L(K(x,T(y \ z,z * u)),z,z \ ((y * (z / y)) * u)),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). [para(12933(a,1),14327(a,1,1,1,2))]. given #13236 (H,wt=45): 14739 L(L(K(x,T(y \ z,z * u)),z,K(y,y \ z) * u),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). [para(9232(a,1),14738(a,1,1,3))]. given #13237 (H,wt=39): 14740 L(L(K(x,T(y \ z,z * u)),z,u),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). [para(14699(a,1),14739(a,1,1))]. given #13238 (H,wt=36): 14741 L(K(x,(y * z) / (y * u)),(u * (z / u)) * y,z) = K(x,(z \ ((u * (z / u)) * y)) \ (u \ (z * y))). [para(13364(a,1),14740(a,1,1))]. given #13239 (H,wt=36): 14743 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(z \ ((u * (z / u)) * y)) \ (u \ (z * y))). [hyper(199,a,12576,a,b,14741,a(flip)),flip(a)]. given #13240 (H,wt=34): 14744 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(K(u,u \ z) * y) \ (u \ (z * y))). [para(9232(a,1),14743(a,2,2,1))]. given #13241 (H,wt=34): 14745 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(y \ (u \ (z * y))) * K(u,u \ z)). [hyper(199,a,14509,a(flip),b,14744,a)]. given #13242 (H,wt=32): 14746 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(y \ (u \ (z * y))) * K(u,z)). [hyper(199,a,11554,a(flip),b,14745,a)]. given #13243 (H,wt=30): 14747 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,y \ (T(u,z) \ (z * y))). [hyper(199,a,14502,a(flip),b,14746,a)]. given #13244 (H,wt=28): 14748 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,((y * z) / u) / y). [hyper(199,a,14546,a(flip),b,14747,a)]. given #13245 (H,wt=22): 14749 L(K(x,(y * z) / (y * u)),y,z) = K(x,((y * z) / u) / y). [hyper(14032,a,14748,a)]. given #13246 (H,wt=19): 14750 K(x,((y * z) / u) / y) = K(x,y / ((y * u) / z)). [hyper(199,a,14303,a(flip),b,14749,a(flip))]. given #13247 (H,wt=21): 14751 K(x,y / ((y * z) / T(u,z))) = K(x,y \ (z \ (u * y))). [hyper(199,a,14545,a(flip),b,14750,a(flip))]. given #13248 (H,wt=19): 14752 K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). [hyper(199,a,14736,a(flip),b,14751,a(flip)),flip(a)]. given #13249 (H,wt=33): 14753 K(x,T(y / z,y) \ (u \ (w * T(y / z,y)))) = K(x,(w \ (u * T(y / z,y))) \ (z \ y)). [hyper(199,a,11544,a(flip),b,14752,a(flip))]. given #13250 (H,wt=27): 14755 K(x,T(y / z,y) \ (z \ (u * T(y / z,y)))) = K(x,(u \ y) \ (z \ y)). [hyper(199,a,14597,a(flip),b,14753,a)]. given #13251 (H,wt=23): 14756 K(x,(y / z) \ (z \ (u * (y / z)))) = K(x,(u \ y) \ (z \ y)). [hyper(199,a,14605,a(flip),b,14755,a(flip)),flip(a)]. given #13252 (H,wt=43): 14754 K(x,(y \ T(z * (u / z),u \ w)) \ (((u \ w) \ w) / z)) = K(x,(((u \ w) \ w) / z) \ (z \ (y * (((u \ w) \ w) / z)))). [para(4390(a,2),14752(a,1,2,1,2))]. given #13253 (H,wt=41): 14758 K(x,(y \ T(z * (u / z),u \ w)) \ (T(u,w) / z)) = K(x,(((u \ w) \ w) / z) \ (z \ (y * (((u \ w) \ w) / z)))). [hyper(199,a,12718,a(flip),b,14754,a(flip)),flip(a)]. given #13254 (H,wt=41): 14759 K(x,(y \ T(z * (u / z),u * w)) \ (T(u,w) / z)) = K(x,(((u \ w) \ w) / z) \ (z \ (y * (((u \ w) \ w) / z)))). [hyper(199,a,14590,a(flip),b,14758,a(flip)),flip(a)]. given #13255 (H,wt=39): 14760 K(x,(y \ T(T(z,z * u),w)) \ (T(z,u) / w)) = K(x,(((z \ u) \ u) / w) \ (w \ (y * (((z \ u) \ u) / w)))). [hyper(199,a,14485,a(flip),b,14759,a(flip)),flip(a)]. given #13256 (H,wt=37): 14761 K(x,(((y \ z) \ z) / u) \ (u \ (w * (((y \ z) \ z) / u)))) = K(x,(w \ T(T(y,u),z)) \ (T(y,z) / u)). [hyper(199,a,11771,a(flip),b,14760,a(flip))]. given #13257 (H,wt=33): 14762 K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ ((z \ w) \ w)) \ (u \ ((z \ w) \ w))). [hyper(199,a,14756,a(flip),b,14761,a(flip))]. given #13258 (H,wt=31): 14763 K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ ((z \ w) \ w)) \ (u \ T(z,w))). [hyper(199,a,12714,a(flip),b,14762,a)]. given #13259 (H,wt=29): 14764 K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ T(z,w)) \ (u \ T(z,w))). [hyper(199,a,11614,a(flip),b,14763,a)]. given #13260 (H,wt=25): 14765 K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ z) \ (u \ z)). [hyper(199,a,14732,a(flip),b,14764,a)]. given #13261 (H,wt=25): 14767 K(x,(T(T(y,z),u) \ w) * (T(y,u) / z)) = K(x,(w \ y) \ (z \ y)). [hyper(199,a,14711,a(flip),b,14765,a(flip)),flip(a)]. given #13262 (H,wt=25): 14768 K(x,(T(T(y,z),u) \ w) * (T(y,u) / z)) = K(x,(y \ w) * (z \ y)). [hyper(199,a,14711,a(flip),b,14767,a)]. given #13263 (H,wt=19): 14769 K(x,(y * z) / (y * u)) = K(x,(y \ z) * (u \ y)). [hyper(199,a,14627,a(flip),b,14768,a(flip)),flip(a)]. given #13264 (H,wt=51): 14737 K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,(w \ (((z \ u) / T(y,u * z)) * w)) * w). [hyper(199,a,14711,a(flip),b,14101,a)]. given #13265 (H,wt=49): 14770 K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,T((z \ u) / T(y,u * z),w) * w). [para(32(a,2),14737(a,2,2,1))]. given #13266 (H,wt=47): 14771 K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,w * ((z \ u) / T(y,u * z))). [hyper(199,a,11677,a(flip),b,14770,a)]. given #13267 (H,wt=43): 14772 K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,w * (y \ (z \ u))). [hyper(199,a,14143,a(flip),b,14771,a)]. given #13268 (H,wt=39): 14773 K(x,(y \ (z \ u)) * ((T(y,u * z) / (z \ u)) * (w / (T(y,u * z) / (z \ u))))) = K(x,w * (y \ (z \ u))). [para(14628(a,1),14772(a,1,2,2))]. given #13269 (H,wt=29): 14774 K(x,(y \ (z \ u)) * T(w,T(y,u * z) / (z \ u))) = K(x,w * (y \ (z \ u))). [hyper(13384,a,14773,a)]. given #13270 (H,wt=29): 14775 K(x,(y \ (z \ u)) * T(w,T(y,u * z) * (u \ z))) = K(x,w * (y \ (z \ u))). [para(14729(a,1),14774(a,1,2,2))]. given #13271 (H,wt=25): 14776 K(x,(y \ (z \ u)) * T(w,(u \ z) * y)) = K(x,w * (y \ (z \ u))). [para(14544(a,1),14775(a,1,2,2))]. given #13272 (H,wt=25): 14777 K(x,(y \ (z \ u)) * T(w,z * (u * y))) = K(x,w * (y \ (z \ u))). [hyper(199,a,14223,a(flip),b,14776,a(flip)),flip(a)]. given #13273 (H,wt=19): 14778 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [hyper(14722,a,14777,a)]. given #13274 (H,wt=19): 14780 K(x,y * (z \ ((u * w) \ u))) = K(x,y / (w * z)). [para(13(a,1),14778(a,1,2,2,1)),flip(a)]. given #13275 (H,wt=20): 14779 K(x,(y \ (z * u)) * (u \ (z \ y))) = a(y,z,K(x,u)). [hyper(199,a,14683,a(flip),b,14778,a(flip))]. given #13276 (H,wt=15): 14782 a(x,y,K(z,y \ u)) = a(u,z,K(x,y)). [hyper(14714,a,14779,a)]. given #13277 (H,wt=15): 14783 a(x,y,K(z,y \ u)) = a(x,z,K(y,u)). [hyper(199,a,12278,a,b,14782,a)]. given #13278 (H,wt=15): 14784 a(x,y,K(z,u \ y)) = a(y,z,K(x,u)). [hyper(199,a,10493,a,b,14782,a(flip)),flip(a)]. given #13279 (H,wt=19): 14785 x * L(x \ y,y,K(z,u)) = y * a(z,u,K(x,y)). [para(14783(a,1),14220(a,2,2))]. given #13280 (H,wt=17): 14787 x * L(x \ y,y,K(z,u)) = L(y,u,K(x,z)). [hyper(199,a,14185,a(flip),b,14785,a)]. given #13281 (H,wt=17): 14789 x * L(x \ y,y,K(z,u)) = L(y,z,K(x,u)). [para(4738(a,1),14787(a,1,2,3))]. given #13282 (H,wt=13): 14790 L(x,y,K(z,u)) = L(x,u,K(z,y)). [hyper(199,a,14787,a(flip),b,14789,a(flip))]. given #13283 (H,wt=15): 14791 x * a(y,z,K(x,u)) = L(x,u,K(y,z)). [hyper(14183,a,14790,a)]. given #13284 (H,wt=13): 14792 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(17,a,14173,a,b,14791,a),flip(a)]. given #13285 (H,wt=17): 14793 K(x,y) * a(z,x,K(y,u)) = L(K(x,y),z,u). [para(14792(a,2),8988(a,1,2))]. given #13286 (H,wt=19): 14786 L(K(x,y),z,u \ z) = K(x,y) * a(z,x,K(y,u)). [para(14784(a,1),12297(a,1,2)),flip(a)]. given #13287 (H,wt=15): 14794 L(K(x,y),z,u \ z) = L(K(x,y),z,u). [hyper(199,a,14793,a(flip),b,14786,a)]. given #13288 (H,wt=20): 14788 x * L(x \ y,y,K(z,u)) != w | L(y,u,K(x,z)) = w. [para(14785(a,2),14192(a,1))]. given #13289 (H,wt=21): 14781 K(x,y / (z * T(u,z))) = K(x,y * (((w * z) \ w) / u)). [hyper(14142,a,14780,a),flip(a)]. given #13290 (H,wt=19): 14795 K(x,y * (((z * u) \ z) / w)) = K(x,y / (w * u)). [para(105(a,1),14781(a,1,2,2)),flip(a)]. given #13291 (H,wt=19): 14796 K(x,y / (z * (u \ w))) = K(x,y * ((w \ u) / z)). [para(14(a,1),14795(a,1,2,2,1,1)),flip(a)]. given #13292 (H,wt=23): 14797 K(x,(y \ z) * ((u \ w) \ y)) = K(x,(y * z) * ((w \ u) / y)). [hyper(199,a,14769,a(flip),b,14796,a(flip)),flip(a)]. given #13293 (H,wt=23): 14798 K(x,(y * z) * ((z \ u) / y)) * (y * z) = y * (K(x,u) * z). [para(14796(a,1),9123(a,1,1))]. given #13294 (H,wt=25): 14799 L(L(K(x,T(y,z)),z,u \ z),z,u) = K(x,(z * u) * ((u \ y) / z)). [hyper(199,a,14712,a,b,14797,a(flip)),flip(a)]. given #13295 (H,wt=23): 14800 L(L(K(x,T(y,z)),z,u),z,u) = K(x,(z * u) * ((u \ y) / z)). [para(14794(a,1),14799(a,1,1))]. given #13296 (H,wt=17): 14801 K(x,(y * z) * ((z \ u) / y)) = K(x,T(u,y)). [hyper(199,a,14296,a(flip),b,14800,a(flip))]. given #13297 (H,wt=17): 14803 K(x,T(y,z)) * (z * u) = z * (K(x,y) * u). [para(14801(a,1),14798(a,1,1))]. given #13298 (H,wt=22): 14804 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(y,x,K(z,u)). [para(14803(a,1),14214(a,1,2))]. -------- Proof 1 -------- "aK2_eq_aK3". ============================== PROOF ================================= % Proof 1 at 1403.67 (+ 56.15) seconds: "aK2_eq_aK3". % Length of proof is 12644. % Level of proof is 807. % Maximum clause weight is 65.000. % Given clauses 13298 (16.478 givens/level). 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 10 a(x,K(y,z),u) = a(y,u,K(z,x)) # label("aK2_eq_aK3") # label(non_clause) # label(goal). [goal]. 11 1 * x = x. [assumption]. 12 x * 1 = x. [assumption]. 13 x \ (x * y) = y. [assumption]. 14 x * (x \ y) = y. [assumption]. 15 (x * y) / y = x. [assumption]. 16 (x / y) * y = x. [assumption]. 17 x * y != z | x * u != z | u = y. [clausify(1)]. 18 x * y != z | u * y != z | u = x. [clausify(2)]. 19 x * y != x * z | y = z. [clausify(3)]. 20 x * y != z * y | x = z. [clausify(4)]. 21 x != y | z * x = z * y. [assumption]. 22 x != y | x * z = y * z. [assumption]. 23 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 25 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 27 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 29 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 31 x \ (y * x) = T(y,x). [assumption]. 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 39 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 41 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 43 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 47 T(T(x,y),y) = x # label("imord2 T"). [assumption]. 48 a(c2,c4,K(c3,c1)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3") # answer("aK2_eq_aK3"). [deny(10)]. 49 a(c1,K(c2,c3),c4) != a(c2,c4,K(c3,c1)) # answer("aK2_eq_aK3"). [copy(48),flip(a)]. 50 (1 * x) * 1 = x. [para(12(a,2),11(a,1))]. 51 1 \ x = x. [para(11(a,1),13(a,1,2))]. 52 x \ x = 1. [para(12(a,1),13(a,1,2))]. 53 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. 54 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. 55 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. 56 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. 57 x / x = 1. [para(11(a,1),15(a,1,1))]. 58 x / 1 = x. [para(12(a,1),15(a,1,1))]. 59 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. 60 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. 61 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. 62 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. 63 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. 64 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. 65 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. 66 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. 67 x != y | x * z != y | 1 = z. [para(12(a,1),17(a,1)),flip(c)]. 68 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. 69 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. 70 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. 71 1 * x != y | x = y. [para(11(a,1),19(a,2))]. 72 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. 73 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. 75 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. 76 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. 77 x \ (x * (y * z)) != u * z | u = y. [para(13(a,2),20(a,2)),flip(a)]. 78 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. 79 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. 80 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. 81 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. 82 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. 83 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. 84 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. 85 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. 86 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. 87 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. 88 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. 89 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. 90 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. 91 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. 92 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. 93 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. 94 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. 95 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. 96 (x * y) / (x * y) = R(1,x,y). [para(11(a,1),30(a,2,1,1)),flip(a)]. 97 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. 98 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. 99 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. 100 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. 101 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. 102 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. 103 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. 104 T(x,x) = x. [para(32(a,2),13(a,1))]. 105 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. 106 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. 107 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. 108 T(T(T(x,y),z),u) = T(T(T(x,u),y),z). [para(38(a,1),38(a,1,1)),flip(a)]. 109 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(42(a,2),38(a,1,1)),flip(a)]. 110 T(T(T(x,y),z),y) = T(x,z). [para(47(a,1),38(a,1,1)),flip(a)]. 111 1 \ (x * 1) = x. [hyper(18,a,12,a,b,51,a(flip)),flip(a)]. 112 (x * (x \ 1)) \ y = y. [para(14(a,2),51(a,1,1))]. 113 ((1 / x) * x) \ y = y. [para(16(a,2),51(a,1,1))]. 115 x / ((1 / y) * y) = x. [para(16(a,2),58(a,1,2))]. 116 T(T(x,y),x) = T(x,y). [para(104(a,1),38(a,1,1)),flip(a)]. 117 T(L(x,y,z),x) = L(x,y,z). [para(104(a,1),40(a,1,1)),flip(a)]. 118 x / 1 = 1 * x. [hyper(18,a,16,a,b,50,a),flip(a)]. 119 (x / (y \ x)) * z = y * z. [hyper(22,a,60,a)]. 120 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),60(a,1,2))]. 121 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),60(a,1,2))]. 122 (x * y) / T(x,y) = y. [para(32(a,2),60(a,1,2))]. 123 x / (y / ((z \ x) \ y)) = z. [para(60(a,2),60(a,1,2))]. 124 ((x / y) \ x) * z = y * z. [hyper(22,a,63,a)]. 125 x * ((y / (x \ z)) \ y) = z. [para(63(a,2),14(a,1,2))]. 126 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),63(a,1,1))]. 127 ((x / (y / z)) \ x) \ y = z. [para(63(a,2),63(a,1,1))]. 128 T(x,1) = x. [para(111(a,1),32(a,2))]. 129 1 \ x = 1 * x. [para(50(a,1),111(a,1,2))]. 130 K(x,1) = 1. [hyper(36,a,128,a)]. 131 T(1,x) = 1. [hyper(35,a,128,a)]. 132 T(x,y \ y) = x. [para(52(a,2),128(a,1,2))]. 133 K(1,x) = 1. [hyper(36,a,131,a)]. 134 1 \ x != y | y = x. [para(129(a,2),70(a,1))]. 135 ((1 / x) * x) * y != z | y = z. [para(16(a,2),71(a,1,1))]. 136 K(x,1) * y != z | y = z. [para(130(a,2),71(a,1,1))]. 137 x / 1 != y | x = y. [para(118(a,2),71(a,1))]. 138 1 \ x != y | x = y. [para(129(a,2),71(a,1))]. 139 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),75(a,1,2))]. 140 x * (y \ y) != z | x = z. [para(52(a,2),76(a,1,2))]. 141 (x * (x \ 1)) \ y != z | z = y. [para(14(a,2),134(a,1,1))]. 142 ((1 / x) * x) \ y != z | z = y. [para(16(a,2),134(a,1,1))]. 143 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(54(a,1),30(a,2,1))]. 144 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(55(a,1),24(a,2,1)),flip(a)]. 145 L(x \ 1,x,y) = (y * x) \ y. [para(55(a,1),28(a,2,2))]. 146 R(1 / x,x,y) = y / (x * y). [para(61(a,1),30(a,2,1))]. 147 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(62(a,1),24(a,2,1)),flip(a)]. 148 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(62(a,1),28(a,2,2))]. 149 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,105,a)]. 150 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,105,a(flip)),flip(a)]. 151 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,105,a(flip)),flip(a)]. 152 (x \ y) * T(x,x \ y) = y. [para(105(a,2),14(a,1))]. 153 x * T(y / x,x) = y. [para(105(a,2),16(a,1))]. 154 x * y != z | y * u != z | T(x,y) = u. [para(105(a,1),17(a,1)),flip(c)]. 155 x * y != z * x | T(z,x) = y. [para(105(a,1),19(a,1)),flip(a)]. 156 x * T(y,x) != z * x | z = y. [para(105(a,2),20(a,2)),flip(a)]. 157 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(105(a,1),24(a,2,1,2)),flip(a)]. 158 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(105(a,1),24(a,2,2,1)),flip(a)]. 159 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(105(a,1),26(a,2,1)),flip(a)]. 160 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(105(a,1),28(a,2,1)),flip(a)]. 161 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(105(a,1),28(a,2,2,2)),flip(a)]. 162 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(105(a,1),30(a,2,1,1)),flip(a)]. 163 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),105(a,1,2))]. 164 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),105(a,1,2))]. 165 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),105(a,1,2))]. 166 T(x,y) * y = y * x. [para(47(a,1),105(a,1,2)),flip(a)]. 167 T(T(x / y,z),y) = T(y \ x,z). [para(107(a,1),38(a,1,1)),flip(a)]. 168 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(107(a,1),40(a,1,1)),flip(a)]. 169 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(107(a,1),42(a,1,1)),flip(a)]. 170 T(x \ y,x) = y / x. [para(107(a,1),47(a,1,1))]. 171 T(x / (x / y),x / y) = y. [para(107(a,2),63(a,1))]. 172 K(x \ 1,x) = (x \ 1) * x. [para(112(a,1),26(a,2))]. 173 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(112(a,1),28(a,2)),flip(a)]. 174 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(113(a,1),24(a,2)),flip(a)]. 175 K(x,1 / x) = x * (1 / x). [para(113(a,1),26(a,2))]. 176 (1 / x) * (x * y) = L(y,x,1 / x). [para(113(a,1),28(a,2)),flip(a)]. 177 (x * (1 / y)) * y = R(x,1 / y,y). [para(115(a,1),30(a,2)),flip(a)]. 178 T(x,T(x,y)) = x. [hyper(35,a,116,a)]. 179 T(T(T(x,y),z),x) = T(T(x,y),z). [para(116(a,1),38(a,1,1)),flip(a)]. 180 T(x,y) * x = x * T(x,y). [para(116(a,1),105(a,1,2)),flip(a)]. 181 x / T(y,y \ x) = y \ x. [para(14(a,1),122(a,1,1))]. 182 (T(x,y) * z) / T(T(x,z),y) = z. [para(38(a,1),122(a,1,2))]. 183 (x * y) / T(y,T(x,y)) = T(x,y). [para(105(a,1),122(a,1,1))]. 184 T(T((x * y) / x,z),x) = T(y,z). [para(149(a,1),38(a,1,1)),flip(a)]. 185 T(x,y) = (y * x) / y. [para(149(a,1),47(a,1,1))]. 186 T((x * y) / x,y) = (x * y) / x. [para(149(a,1),178(a,1,2))]. 187 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),150(a,1,1,2))]. 188 x * y != z * x | T(y,x) = z. [para(166(a,1),20(a,1))]. 189 T(T(x,y),z) * y = y * T(x,z). [para(38(a,1),166(a,1,1))]. 190 L(T(x,y),z,u) * y = y * L(x,z,u). [para(40(a,2),166(a,1,1))]. 191 R(T(x,y),z,u) * y = y * R(x,z,u). [para(42(a,2),166(a,1,1))]. 192 T(x,y) * y = x * T(y,x). [para(166(a,2),105(a,2)),flip(a)]. 193 (x \ y) * x = x * (y / x). [para(107(a,1),166(a,1,1))]. 194 x * ((x * y) / x) = y * x. [para(149(a,1),166(a,1,1)),flip(a)]. 195 T(x,T(y,x)) * T(y,x) = x * y. [para(166(a,1),166(a,2))]. 196 ((x * y) * z) / (x * (y * z)) = T(a(x,y,z),x * (y * z)). [para(24(a,2),170(a,1,1)),flip(a)]. 197 x \ x != y | 1 = y. [para(11(a,1),140(a,1))]. 198 L(x \ (y \ z),x,y) = (y * x) \ z. [para(56(a,1),28(a,2,2))]. 199 x != y | z != y | z = x. [para(11(a,1),66(b,1))]. 200 (x / y) \ x = z * (z \ y). [hyper(199,a,63,a,b,14,a),flip(a)]. 201 x / (y \ x) = z * (z \ y). [hyper(199,a,60,a,b,14,a),flip(a)]. 202 (x * y) / y = (x / z) * z. [hyper(199,a,16,a,b,15,a)]. 203 (x / y) * y = x * 1. [hyper(199,a,16,a,b,12,a),flip(a)]. 204 x \ (x * y) = z * (z \ y). [hyper(199,a,14,a,b,13,a)]. 205 x * (x \ y) = y * 1. [hyper(199,a,14,a,b,12,a),flip(a)]. 206 x * 1 != y * z | x / z = y. [para(203(a,1),20(a,1))]. 207 (x / y) * y != z | z = x. [para(203(a,2),75(a,1))]. 208 x \ (y * (y \ x)) = 1. [hyper(73,a,205,a(flip))]. 209 x * 1 != y * z | y \ x = z. [para(205(a,1),19(a,1))]. 211 x * (x \ y) != z | z = y. [para(205(a,2),75(a,1))]. 212 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),207(a,1,1)),flip(b)]. 213 x / (y * (y \ 1)) != z | z = x. [para(55(a,1),207(a,1))]. 214 x / ((1 / y) * y) != z | z = x. [para(62(a,1),207(a,1))]. 215 x * T(y,x) != z | y * x = z. [para(122(a,1),207(a,1,1)),flip(b)]. 216 x * y != z | y * T(x,y) = z. [para(150(a,1),207(a,1,1)),flip(b)]. 217 T(x,y) * y != z | y * x = z. [para(185(a,2),207(a,1,1)),flip(b)]. 218 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),211(a,1,2)),flip(b)]. 219 (x / (y * (y \ z))) * z = x. [hyper(207,a,80,a)]. 220 x * y != z * y | (z / u) * u = x. [para(81(a,1),20(a,2)),flip(b)]. 221 x * K(y \ x,y) = (y \ x) * y. [hyper(199,a,82,a(flip),b,85,a(flip)),flip(a)]. 222 x * K(y,x / y) = y * (x / y). [hyper(199,a,81,a(flip),b,85,a(flip)),flip(a)]. 223 (x * y) * z != y * x | K(y,x) = z. [para(85(a,1),19(a,1)),flip(a)]. 225 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(85(a,1),28(a,2,1)),flip(a)]. 226 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(85(a,1),28(a,2,2,2)),flip(a)]. 227 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(85(a,1),30(a,2,1)),flip(a)]. 228 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,106,a)]. 229 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,106,a)]. 230 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(199,a,14,a,b,106,a(flip))]. 231 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(106(a,1),38(a,1,1)),flip(a)]. 232 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(106(a,1),40(a,1,1)),flip(a)]. 234 T(x,L(x,y,z)) = x. [hyper(35,a,117,a)]. 235 x * (((y / x) \ y) \ z) = z. [hyper(211,a,124,a)]. 236 ((x / y) \ x) * (y \ z) = z. [hyper(199,a,14,a(flip),b,124,a)]. 237 ((x / y) \ x) * z != u | y \ u = z. [para(124(a,2),73(a,1))]. 238 (x / y) * ((z / y) \ z) = x. [para(63(a,1),125(a,1,2,1,2))]. 239 (x \ y) * z != y | T(x,x \ y) = z. [para(152(a,1),19(a,1)),flip(a)]. 240 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(152(a,1),28(a,2,2,2))]. 241 T(x / (x / y),(z / (x / y)) \ z) = y. [para(63(a,2),171(a,1,2))]. 242 x * T(x \ 1,x) = K(x \ 1,x). [hyper(199,a,105,a,b,172,a),flip(a)]. 243 (x \ 1) \ K(x \ 1,x) = x. [hyper(73,a,172,a(flip))]. 245 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(172(a,2),24(a,2,1,2)),flip(a)]. 246 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(172(a,2),30(a,2,1,1)),flip(a)]. 247 x \ K(x \ 1,x) = T(x \ 1,x). [para(172(a,2),32(a,2,2)),flip(a)]. 248 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(175(a,2),28(a,2,1)),flip(a)]. 249 T(x,y) * y != x * z | T(y,x) = z. [para(192(a,2),19(a,1))]. 251 T(x,x \ y) * (x \ y) = x * (y / x). [para(170(a,1),192(a,2,2))]. 252 T(x,y) * y = x * ((x * y) / x). [para(185(a,1),192(a,2,2))]. 253 (x / y) \ x != z | z = y. [para(200(a,2),211(a,1))]. 254 x \ (x * y) != z | z = y. [para(15(a,1),253(a,1,1))]. 255 x \ (y * x) != z | T(y,x) = z. [para(122(a,1),253(a,1,1)),flip(b)]. 256 x \ (y * T(x,y)) != z | z = y. [para(150(a,1),253(a,1,1))]. 258 T((x * y) / x,x) != z | z = y. [para(107(a,2),254(a,1))]. 260 (x * y) \ (y * x) != z | K(y,x) = z. [para(85(a,1),254(a,1,2)),flip(b)]. 261 x / (y \ x) != z | z = y. [para(201(a,2),211(a,1))]. 262 (x * y) / y != z | z = x. [para(13(a,1),261(a,1,2))]. 263 (x * (y * z)) / L(z,y,x) != u | x * y = u. [para(28(a,2),261(a,1,2)),flip(b)]. 264 (x * y) / T(x,y) != z | z = y. [para(32(a,2),261(a,1,2))]. 265 x / x != y | 1 = y. [para(51(a,1),261(a,1,2)),flip(b)]. 266 (x * y) / x != z | T(y,x) = z. [para(166(a,1),262(a,1,1)),flip(b)]. 267 (x * y) / y != z * u | x / u = z. [para(202(a,2),20(a,1))]. 268 ((x / y) * y) * z != u | x * z = u. [para(202(a,1),207(a,1,1)),flip(b)]. 269 x \ (x * y) != z * u | z \ y = u. [para(204(a,2),19(a,1))]. 270 x * (y * (y \ z)) != u | x * z = u. [para(204(a,1),211(a,1,2)),flip(b)]. 271 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),219(a,1,1))]. 272 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(181(a,1),236(a,1,1,1))]. 273 x * ((y / z) \ y) != u | u / z = x. [para(238(a,1),20(a,1)),flip(a)]. 274 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(181(a,1),238(a,1,2,1))]. 275 (x \ 1) * x != y | K(x \ 1,x) = y. [para(243(a,1),211(a,1,2)),flip(b)]. 276 1 * x != y * 1 | x = y. [para(11(a,1),72(a,1,1)),flip(a)]. 277 x * y != x * z | z = y. [para(12(a,1),72(a,1))]. 278 1 * x != y | 1 * y = x. [para(50(a,1),276(a,2)),flip(b)]. 279 x != y | 1 * y = x. [para(11(a,1),278(a,1))]. 280 x \ (x * y) = L(y,1,x). [para(12(a,1),90(a,1,1))]. 281 L(x,1,y) = x. [hyper(254,a,280,a)]. 282 L(x,1,y) != z | z = x. [para(280(a,1),254(a,1))]. 284 L(1,x,y) = 1. [hyper(197,a,91,a),flip(a)]. 287 a(x,y,1) = 1. [hyper(34,a,284,a)]. 288 x * a(y,z,1) != u | x = u. [para(287(a,2),76(a,1,2))]. 289 R(1,x,y) = 1. [hyper(265,a,96,a),flip(a)]. 292 (x * y) / y = R(x,1,y). [para(12(a,1),97(a,1,1,1))]. 293 R(x,1,y) = x. [hyper(262,a,292,a)]. 294 R(x,1,y) != z | z = x. [para(292(a,1),262(a,1))]. 296 (x * y) / y = R(x,y,1). [para(12(a,1),98(a,1,2))]. 297 R(x,y,1) = x. [hyper(262,a,296,a)]. 300 K(x \ 1,x) != y | (x \ 1) * x = y. [para(26(a,2),141(a,1)),flip(b)]. 301 K(x,1 / x) != y | x * (1 / x) = y. [para(26(a,2),142(a,1)),flip(b)]. 302 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(28(a,2),142(a,1)),flip(b)]. 303 L(x \ 1,x,1 / x) = 1 / x. [hyper(199,a,113,a(flip),b,145,a)]. 304 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,145,a)]. 305 (x * y) * L(y \ 1,y,x) = x. [para(145(a,2),14(a,1,2))]. 306 L((x \ y) \ 1,x \ y,x) = y \ x. [para(14(a,1),145(a,2,1))]. 307 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),145(a,2,1))]. 308 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(145(a,1),40(a,2,1)),flip(a)]. 309 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(145(a,1),44(a,1,1))]. 310 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(145(a,1),45(a,1,1)),flip(a)]. 311 x / L(y \ 1,y,x) = x * y. [para(145(a,2),60(a,1,2))]. 312 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(22,a,146,a)]. 313 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),146(a,2,2))]. 314 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),146(a,2,2))]. 315 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(146(a,1),42(a,2,1)),flip(a)]. 316 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(146(a,1),46(a,1,1)),flip(a)]. 317 R(1 / x,x,y) \ y = x * y. [para(146(a,2),63(a,1,1))]. 319 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),156(a,1,2)),flip(b)]. 320 x * T(y,z) != z * y | T(z,T(y,z)) = x. [para(166(a,1),188(a,1)),flip(a)]. 323 (x / y) * y != z * u | x / u = z. [para(203(a,2),206(a,1))]. 326 x * (y * (y \ 1)) != z * u | z \ x = u. [para(14(a,2),209(a,1,2))]. 327 (x / y) * y != z * u | z \ x = u. [para(203(a,2),209(a,1))]. 328 x * (x \ y) != z * u | z \ y = u. [para(205(a,2),209(a,1))]. 329 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(213,a,30,a(flip)),flip(a)]. 330 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),215(a,1,2))]. 331 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),215(a,1,2))]. 332 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),215(a,1,2))]. 335 (x \ y) * x != z | x * (y / x) = z. [para(107(a,1),217(a,1,1))]. 336 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(105(a,1),255(a,1,2))]. 337 T(x / y,y) != z | y \ x = z. [para(14(a,1),258(a,1,1,1)),flip(b)]. 338 T(T(x,y),y) != z | z = x. [para(185(a,2),258(a,1,1))]. 339 T(T(T(x,y),z),y) != u | T(x,z) = u. [para(38(a,1),338(a,1,1)),flip(b)]. 340 T(x \ y,x) != z | y / x = z. [para(107(a,1),338(a,1,1)),flip(b)]. 341 T(x,y) != z | (y * x) / y = z. [para(149(a,1),338(a,1,1)),flip(b)]. 342 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(110(a,1),338(a,1,1)),flip(b)]. 343 x / y != z | T(y \ x,y) = z. [para(14(a,1),266(a,1,1))]. 344 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(303(a,1),40(a,2,1))]. 345 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(305(a,1),28(a,2,2,2))]. 346 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(305(a,1),254(a,1,2)),flip(b)]. 347 x / L(y,1 / y,x) = x * (1 / y). [para(63(a,1),311(a,1,2,1))]. 348 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(311(a,1),235(a,1,2,1,1))]. 349 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(311(a,1),236(a,1,1,1))]. 350 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(60(a,1),317(a,1,1,1))]. 351 x / (y * x) != z | R(1 / y,y,x) = z. [para(317(a,1),261(a,1,2)),flip(b)]. 352 T(x,x \ y) != z | (x \ y) \ y = z. [para(60(a,1),337(a,1,1))]. 353 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(122(a,1),337(a,1,1))]. 354 x \ L(y \ 1,y,z) = x \ ((z * y) \ z). [hyper(68,a,145,a,b,14,a)]. 355 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(68,a,106,a,b,14,a)]. 356 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(68,a,28,a,b,113,a(flip))]. 357 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(68,a,28,a,b,112,a(flip))]. 358 ((x / y) * y) / z = x / z. [hyper(69,a,203,a,b,203,a)]. 359 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(69,a,145,a(flip),b,11,a)]. 360 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),86(a,2,1)),flip(a)]. 361 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(105(a,2),86(a,1,2))]. 363 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(172(a,2),87(a,1,1))]. 364 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),163(a,1,2,1))]. 365 T(x / y,z) * y = y * T(y \ x,z). [para(107(a,1),163(a,1,2,1)),flip(a)]. 366 T((x * y) / x,z) * x = x * T(y,z). [para(149(a,1),163(a,1,2,1)),flip(a)]. 367 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(106(a,1),163(a,1,2,1))]. 368 (x * T(x \ y,z)) / x = T(y / x,z). [para(167(a,1),150(a,1,1,2))]. 369 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(167(a,1),215(a,1,2))]. 370 T(x,T(T(x,y),z)) = x. [hyper(35,a,179,a)]. 371 K(x,T(T(x,y),z)) = 1. [hyper(36,a,370,a)]. 372 T((x * y) / x,T(y,z)) = (x * y) / x. [para(149(a,1),370(a,1,2,1))]. 373 (x * T(y,z)) / x = T((x * y) / x,z). [para(184(a,1),150(a,1,1,2))]. 375 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(171(a,1),187(a,1,1,2,1))]. 376 (x \ y) * x != y * z | K(x \ y,x) = z. [para(221(a,1),19(a,1))]. 377 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(221(a,1),28(a,2,2,2)),flip(a)]. 378 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(221(a,1),254(a,1,2)),flip(b)]. 379 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(222(a,1),254(a,1,2)),flip(b)]. 381 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(16(a,1),252(a,2,2,1))]. 383 1 / K(x,x \ 1) = K(x \ 1,x). [para(363(a,1),60(a,1,2))]. 384 x \ (x * y) != z * u | y / u = z. [para(16(a,1),77(a,1,2,2)),flip(b)]. 385 (x * y) / L(z \ y,z,x) = x * z. [hyper(69,a,80,a(flip),b,92,a)]. 386 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(68,a,92,a,b,xx)]. 387 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(199,a,82,a(flip),b,92,a(flip)),flip(a)]. 388 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(199,a,81,a(flip),b,92,a(flip)),flip(a)]. 389 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(69,a,92,a(flip),b,105,a)]. 390 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(68,a,92,a(flip),b,105,a)]. 391 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(92(a,1),19(a,1)),flip(a)]. 392 (x * y) * L(z,y,x) != x * u | y * z = u. [para(92(a,2),19(a,1))]. 393 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(92(a,1),28(a,2,1)),flip(a)]. 394 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(92(a,1),28(a,2,2,2)),flip(a)]. 395 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(92(a,1),30(a,2,1)),flip(a)]. 396 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),92(a,1,2))]. 397 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),92(a,1,2))]. 398 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),92(a,1,2))]. 399 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(105(a,1),92(a,1,1))]. 400 (x * y) * L(z,x,T(y,x)) = T(y,x) * (x * z). [para(166(a,1),92(a,1,1))]. 401 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(92(a,1),85(a,1,1))]. 402 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(172(a,2),92(a,1,1))]. 403 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(92(a,1),254(a,1,2)),flip(b)]. 404 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(92(a,1),135(a,1))]. 405 L(x \ T(y * x,y),x,y) = y. [hyper(199,a,151,a(flip),b,94,a)]. 406 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(199,a,113,a(flip),b,94,a)]. 407 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(199,a,112,a(flip),b,94,a)]. 408 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(199,a,88,a(flip),b,94,a)]. 409 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(14(a,1),94(a,2,1))]. 410 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),94(a,2,1))]. 411 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),94(a,1,1)),flip(a)]. 412 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(94(a,1),40(a,2,1)),flip(a)]. 413 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(105(a,1),94(a,2,1))]. 414 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(105(a,1),94(a,2,2))]. 415 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(85(a,1),94(a,2,1))]. 416 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(175(a,2),94(a,2,2))]. 417 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(94(a,2),141(a,1)),flip(b)]. 418 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))]. 419 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(92(a,1),94(a,2,2))]. 420 (R(x,y,z) * (y * z)) / z = x * y. [hyper(69,a,101,a,b,xx)]. 421 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(68,a,82,a(flip),b,101,a)]. 422 R(x / y,y,z) \ (x * z) = y * z. [hyper(68,a,81,a(flip),b,101,a)]. 423 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(69,a,55,a(flip),b,101,a(flip))]. 424 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(68,a,55,a(flip),b,101,a(flip))]. 425 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(68,a,101,a(flip),b,92,a)]. 426 R(x,y / z,z) * y = (x * (y / z)) * z. [para(16(a,1),101(a,1,2))]. 427 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(101(a,1),20(a,1))]. 428 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(101(a,1),26(a,2,1)),flip(a)]. 429 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(101(a,1),30(a,2,1,1)),flip(a)]. 430 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(101(a,1),30(a,2,2)),flip(a)]. 431 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),101(a,1,1))]. 432 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),101(a,1,1))]. 433 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),101(a,1,1))]. 434 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(105(a,1),101(a,1,2))]. 435 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(85(a,1),101(a,1,2))]. 436 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(101(a,1),262(a,1,1)),flip(b)]. 437 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(101(a,2),262(a,1,1)),flip(b)]. 438 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(101(a,1),139(a,1)),flip(b)]. 440 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(101(a,1),101(a,1,2))]. 441 R((x / y) / z,z,y) = x / (z * y). [hyper(199,a,358,a(flip),b,102,a)]. 442 R(x / (1 / y),1 / y,y) = x * y. [hyper(199,a,115,a(flip),b,102,a)]. 443 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(213,a,102,a(flip))]. 444 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),102(a,2,1))]. 445 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),102(a,2,2))]. 446 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),102(a,2,2))]. 447 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(102(a,1),42(a,2,1)),flip(a)]. 448 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(102(a,2),107(a,1,1))]. 449 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(180(a,1),102(a,2,2))]. 450 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(146(a,2),102(a,1,1))]. 451 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(102(a,2),213(a,1)),flip(b)]. 452 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(102(a,2),214(a,1)),flip(b)]. 453 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(101(a,1),102(a,2,1))]. 454 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(101(a,1),102(a,2,2))]. 455 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(102(a,2),102(a,1,1))]. 456 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),121(a,1,1,2))]. 457 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(105(a,1),121(a,1,1,2))]. 458 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(105(a,1),126(a,1,2,1))]. 459 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(85(a,1),126(a,1,2,1))]. 460 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(221(a,1),126(a,1,2,1))]. 461 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(92(a,1),126(a,1,2,1))]. 462 K(x,1 / x) \ x = L(x,1 / x,x). [para(175(a,2),148(a,2,1)),flip(a)]. 463 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(68,a,45,a,b,173,a)]. 464 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(68,a,40,a(flip),b,173,a)]. 465 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(68,a,45,a,b,176,a)]. 466 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(105(a,1),176(a,1,2)),flip(a)]. 467 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(176(a,1),254(a,1,2)),flip(b)]. 468 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(69,a,46,a,b,177,a)]. 469 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(69,a,44,a(flip),b,177,a)]. 470 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(198(a,1),45(a,1,1)),flip(a)]. 471 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(63(a,1),198(a,1,1))]. 474 (x * (x \ y)) * z != u | y * z = u. [para(60(a,1),268(a,1,1,1))]. 480 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(101(a,1),269(a,1,2))]. 481 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(306(a,1),234(a,1,2))]. 482 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(307(a,1),40(a,2,1)),flip(a)]. 483 (x / y) \ (L(y \ 1,y,x / y) * x) = K(x \ (x / y),x). [para(307(a,2),86(a,1,2,1))]. 484 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(313(a,1),42(a,2,1)),flip(a)]. 485 1 * x != y * z | x / z = y. [para(57(a,1),323(a,1,1))]. 486 x * T(y,x) != z * u | (y * x) / u = z. [para(122(a,1),323(a,1,1))]. 487 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(202(a,1),323(a,1,1))]. 490 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),485(a,1,1))]. 492 x * y != z * u | z \ (x * y) = u. [para(15(a,1),327(a,1,1))]. 495 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(202(a,1),327(a,1,1))]. 497 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),328(a,1,2))]. 498 (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. [para(24(a,2),328(a,1,2))]. 499 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(204(a,1),328(a,1,2))]. 500 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(69,a,44,a(flip),b,329,a)]. 501 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(170(a,1),339(a,1,1,1))]. 502 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(350(a,1),261(a,1,2)),flip(b)]. 503 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),352(a,1))]. 504 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(357(a,1),211(a,1,2)),flip(b)]. 506 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(305(a,1),384(a,1,2))]. 507 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(101(a,1),384(a,1,2))]. 508 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(385(a,1),253(a,1,1)),flip(b)]. 511 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(406(a,1),40(a,2,1))]. 512 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(406(a,1),44(a,1,1)),flip(a)]. 513 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(407(a,1),234(a,1,2))]. 515 R(x / y,y,x \ z) \ z = y * (x \ z). [para(14(a,1),422(a,1,2))]. 516 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(442(a,1),42(a,2,1))]. 517 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(443(a,1),42(a,2,1))]. 518 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(443(a,1),46(a,1,1)),flip(a)]. 519 K(x,1 / x) * L(x,1 / x,x) = x. [para(462(a,1),14(a,1,2))]. 520 ((x / y) \ x) * z != u | y * z = u. [para(200(a,2),474(a,1,1))]. 521 (x / (y \ x)) * z != u | y * z = u. [para(201(a,2),474(a,1,1))]. 522 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(82(a,2),492(a,1))]. 523 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(519(a,1),19(a,1)),flip(a)]. 524 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(181(a,1),520(a,1,1,1))]. 526 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(199,a,92,a(flip),b,164,a(flip)),flip(a)]. 528 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(164(a,1),24(a,2,1,2)),flip(a)]. 529 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(32(a,1),164(a,1,2,1))]. 530 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),164(a,1,2,1))]. 531 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(107(a,1),164(a,1,2,1)),flip(a)]. 532 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(149(a,1),164(a,1,2,1)),flip(a)]. 533 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(106(a,1),164(a,1,2,1))]. 535 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(199,a,101,a(flip),b,165,a)]. 536 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(68,a,101,a(flip),b,165,a)]. 538 R(x,y,z) * x = x * R(x,y,z). [para(104(a,1),165(a,1,2,1)),flip(a)]. 539 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(107(a,1),165(a,1,2,1)),flip(a)]. 540 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(116(a,1),165(a,1,2,1)),flip(a)]. 541 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(149(a,1),165(a,1,2,1)),flip(a)]. 542 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(106(a,1),165(a,1,2,1))]. 543 x * R(T(y,x),z,u) != w * v5 | w \ (R(y,z,u) * x) = v5. [para(165(a,2),492(a,1))]. 544 T(x,R(x,y,z)) = x. [hyper(188,a,538,a)]. 545 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(168(a,1),150(a,1,1,2))]. 546 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(169(a,1),150(a,1,1,2))]. 547 T(x / (y * x),y) = R(y \ 1,y,x). [para(146(a,1),169(a,1,1))]. 548 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(102(a,1),169(a,1,1))]. 549 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(314(a,1),169(a,1,1)),flip(a)]. 550 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(441(a,1),169(a,1,1)),flip(a)]. 551 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(443(a,1),169(a,1,1)),flip(a)]. 552 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(547(a,1),105(a,1,2)),flip(a)]. 553 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(547(a,1),215(a,1,2))]. 554 (x * (y * z)) / (x * y) = L(T(z,x * y),y,x). [hyper(69,a,92,a(flip),b,190,a)]. 555 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(492,a,228,a)]. 556 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(328,a,228,a),flip(a)]. 557 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(73,a,228,a)]. 558 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(228(a,2),28(a,2,1)),flip(a)]. 559 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(228(a,2),260(a,1,1))]. 561 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(199,a,16,a(flip),b,229,a)]. 562 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(69,a,229,a,b,xx)]. 563 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(68,a,229,a(flip),b,85,a)]. 566 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(230(a,2),270(a,1,2))]. 568 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(16(a,1),346(a,1,1))]. 570 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(105(a,1),351(a,1,2))]. 571 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(175(a,2),351(a,1,2))]. 572 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(355(a,2),181(a,1,2,2))]. 573 K(x \ (x * y),x) = K(y,x). [hyper(199,a,86,a(flip),b,360,a),flip(a)]. 574 K(x \ (x * y),z) = K(y,z). [para(53(a,1),573(a,1,1)),flip(a)]. 575 K((x / y) \ x,z) = K(y,z). [para(16(a,1),574(a,1,1,2))]. 576 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(365(a,1),262(a,1,1)),flip(b)]. 577 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(199,a,228,a(flip),b,366,a(flip)),flip(a)]. 578 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(366(a,1),262(a,1,1)),flip(b)]. 579 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(368(a,1),207(a,1,1)),flip(b)]. 581 T((x * y) / x,T(y,z)) != u | (x * y) / x = u. [para(372(a,1),338(a,1,1)),flip(b)]. 582 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(373(a,2),105(a,1,2))]. 583 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(107(a,1),373(a,1,1,2)),flip(a)]. 584 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(373(a,1),207(a,1,1)),flip(b)]. 585 K((x \ y) \ 1,y \ x) = 1. [hyper(36,a,481,a)]. 586 T(x \ y,(y \ x) \ 1) = x \ y. [hyper(35,a,481,a)]. 587 K(((x * y) \ x) \ 1,y) = 1. [para(13(a,1),585(a,1,2))]. 588 T(x * y,(x \ 1) \ y) = x * y. [hyper(35,a,513,a)]. 589 T(x * y,(x \ 1) \ y) != z | x * y = z. [para(588(a,1),338(a,1,1)),flip(b)]. 590 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(557(a,1),211(a,1,2)),flip(b)]. 591 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(561(a,1),262(a,1,1)),flip(b)]. 593 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(69,a,82,a(flip),b,83,a)]. 594 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(14(a,1),83(a,1,1,2))]. 595 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(55(a,1),83(a,1,1))]. 596 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(105(a,1),83(a,1,1,2))]. 597 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(83(a,1),254(a,1,2)),flip(b)]. 598 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(101(a,1),83(a,1,1))]. 599 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(105(a,1),93(a,1,2,2)),flip(a)]. 600 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(14(a,1),99(a,2,2))]. 601 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(329(a,1),144(a,1,2))]. 602 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(601(a,1),14(a,1,2))]. 603 (x * y) \ (x * R(y,z,z \ 1)) = L(a(y,z,z \ 1),y,x). [para(601(a,1),94(a,1,1)),flip(a)]. 604 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(602(a,1),254(a,1,2)),flip(b)]. 605 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(177(a,1),147(a,1,2))]. 606 L(T(x,y),y,x) = T(x,x * y). [hyper(255,a,161,a),flip(a)]. 607 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(199,a,40,a(flip),b,161,a)]. 608 L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. [para(161(a,1),142(a,1)),flip(b)]. 609 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(101(a,1),161(a,1,2))]. 610 T(L(x,y,x),y) = T(x,x * y). [hyper(199,a,40,a(flip),b,606,a(flip)),flip(a)]. 611 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(606(a,1),44(a,1,1)),flip(a)]. 612 x * T(y,y * x) = L(y,x,y) * x. [para(606(a,1),164(a,1,2))]. 613 T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). [para(610(a,1),40(a,1,1)),flip(a)]. 614 T(T(x,x * y),y) = L(x,y,x). [para(610(a,1),47(a,1,1))]. 615 (x * T(y,y * x)) / x = L(y,x,y). [para(610(a,1),150(a,1,1,2))]. 616 x * T(y,y * x) != z | L(y,x,y) * x = z. [para(610(a,1),215(a,1,2))]. 617 T(T(x,y),x * y) = L(x,y,x). [hyper(342,a,614,a)]. 618 T(T(x,y),x \ y) = L(x,x \ y,x). [para(14(a,1),614(a,1,1,2))]. 619 L(x / y,y,x / y) = T(T(x / y,x),y). [para(16(a,1),614(a,1,1,2)),flip(a)]. 620 L(x,y,x) * y != z | y * T(x,x * y) = z. [para(614(a,1),217(a,1,1))]. 621 T(T(x,x \ y),y) = L(x,x \ y,x). [para(14(a,1),617(a,1,2))]. 622 T((x * y) / x,y * x) = L(y,x,y). [para(185(a,1),617(a,1,1))]. 623 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(618(a,1),217(a,1,1))]. 624 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(185(a,1),621(a,1,1))]. 625 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(622(a,1),38(a,1,1)),flip(a)]. 626 (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(227(a,1),365(a,1,1,1)),flip(a)]. 627 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(68,a,271,a(flip),b,165,a)]. 628 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(44(a,1),271(a,1,1))]. 630 T((x * y) \ x,y) = L(1 / y,y,x). [para(170(a,1),308(a,2,1))]. 631 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(308(a,2),92(a,1,2))]. 632 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(341,a,630,a)]. 633 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(211,a,312,a)]. 634 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(337,a,315,a),flip(a)]. 635 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(106(a,1),319(a,1,2))]. 636 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),330(a,1,2,1))]. 637 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(199,a,107,a(flip),b,344,a)]. 638 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(68,a,344,a(flip),b,176,a)]. 640 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(155,a,349,a),flip(a)]. 641 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(349(a,1),140(a,1))]. 642 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(199,a,164,a(flip),b,387,a(flip))]. 643 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(387(a,1),19(a,1))]. 644 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),387(a,1,2))]. 645 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(387(a,1),254(a,1,2)),flip(b)]. 646 L(x \ y,x,y / x) = T(y / x,y). [hyper(154,a,80,a(flip),b,388,a),flip(a)]. 647 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(199,a,164,a(flip),b,388,a(flip))]. 648 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(68,a,164,a(flip),b,388,a(flip))]. 649 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(409(a,1),40(a,2,1))]. 650 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(409(a,1),44(a,1,1)),flip(a)]. 651 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(28(a,2),410(a,1,1))]. 652 K(x,y) = L(x \ T(x,y),x,y). [hyper(199,a,26,a,b,414,a),flip(a)]. 653 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(414(a,1),40(a,2,1))]. 655 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(14(a,1),421(a,1,2))]. 656 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(16(a,1),421(a,1,2))]. 657 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(421(a,1),261(a,1,2)),flip(b)]. 658 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(446(a,1),42(a,2,1))]. 659 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(446(a,1),46(a,1,1)),flip(a)]. 660 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(146(a,2),446(a,1,1,2))]. 661 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(146(a,2),446(a,1,2))]. 662 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(446(a,1),169(a,1,1)),flip(a)]. 663 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(457(a,1),253(a,1,1)),flip(b)]. 664 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(199,a,637,a(flip),b,466,a(flip))]. 665 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(63(a,1),664(a,1,2,1))]. 666 (1 / x) * K(x \ 1,x) = x \ 1. [para(172(a,2),664(a,1,2))]. 667 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(68,a,666,a(flip),b,119,a(flip)),flip(a)]. 668 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(666(a,1),28(a,2,1)),flip(a)]. 669 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(666(a,1),121(a,1,1,2))]. 670 x * R(T(y,x),z,u) != w * v5 | (R(y,z,u) * x) / v5 = w. [para(42(a,2),486(a,1,2))]. 671 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(122(a,1),515(a,1,1,1))]. 672 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),548(a,2,1)),flip(a)]. 673 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(548(a,1),501(a,1,1))]. 674 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(550(a,1),271(a,1,1)),flip(a)]. 675 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(11(a,1),551(a,2,1))]. 676 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(13(a,1),551(a,1,1)),flip(a)]. 677 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(16(a,1),552(a,1,1,2)),flip(a)]. 678 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(552(a,2),255(a,1,2))]. 679 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(552(a,1),260(a,1,1))]. 680 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(16(a,1),607(a,1,1)),flip(a)]. 681 L(x / y,y,x / y) = T(y \ x,x). [hyper(199,a,167,a(flip),b,619,a)]. 682 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(14(a,1),632(a,1,1,2,1))]. 683 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(14(a,1),633(a,1,1,2))]. 684 ((x * y) * z) / (x * z) = T(R(y,x,z),x). [para(672(a,2),47(a,1,1)),flip(a)]. 685 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(672(a,2),105(a,1,2)),flip(a)]. 686 T(R(x,y,x),y * x) = T(x,y). [para(672(a,2),184(a,1,1))]. 687 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(672(a,2),366(a,1,1))]. 688 R(T(x,y * x),y,x) = T(x,y). [hyper(199,a,42,a,b,686,a(flip)),flip(a)]. 689 T(R(x,y,x),z) * (y * x) = (y * x) * T(T(x,y),z). [para(686(a,1),163(a,1,2,1)),flip(a)]. 690 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(686(a,1),164(a,1,2,1)),flip(a)]. 691 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(686(a,1),165(a,1,2,1)),flip(a)]. 692 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),688(a,1,1,2))]. 693 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(688(a,1),101(a,1,1)),flip(a)]. 694 R(x,1 / x,x) = T(x,1 / x). [para(128(a,1),692(a,1,1))]. 695 T(x,1 / x) / x = x * (1 / x). [hyper(69,a,694,a(flip),b,177,a)]. 696 T(x,1 / x) / x = K(x,1 / x). [hyper(199,a,175,a,b,695,a)]. 697 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(676(a,1),150(a,1,1,2))]. 698 (x * y) * T(y,x) = (y * x) * y. [hyper(199,a,101,a(flip),b,687,a(flip))]. 699 (x * T(y,x)) * T(x,y) = R(x,y,x) * (y * x). [para(105(a,2),687(a,2,1)),flip(a)]. 700 (x * (y / x)) * x = y * T(x,y / x). [hyper(268,a,698,a),flip(a)]. 701 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(68,a,54,a(flip),b,698,a)]. 702 K(x \ 1,x) \ x = T(x,x \ 1). [para(172(a,2),701(a,1,1))]. 703 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(199,a,106,a(flip),b,702,a)]. 704 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(703(a,1),14(a,1,2))]. 705 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(199,a,42,a,b,109,a),flip(a)]. 708 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(46(a,1),212(a,1,1))]. 709 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(105(a,1),212(a,1,2))]. 710 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(40(a,1),218(a,1,2))]. 711 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),218(a,1,2))]. 714 (x / y) * (x / (x / y)) = (y \ x) * y. [para(107(a,1),381(a,1,1)),flip(a)]. 715 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(85(a,1),391(a,1,1)),flip(a)]. 716 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(105(a,1),403(a,1,1))]. 717 (x * y) \ (T(y,x) * (x * z)) != u | L(z,x,T(y,x)) = u. [para(166(a,1),403(a,1,1))]. 718 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(56(a,1),403(a,1,2))]. 719 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(92(a,1),403(a,1,2,2))]. 720 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(83(a,1),403(a,1,2,2))]. 721 L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. [para(243(a,1),417(a,1,1))]. 723 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(172(a,2),427(a,2,2))]. 724 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(221(a,1),427(a,2,2))]. 725 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(666(a,1),427(a,2,2))]. 726 ((x * T(y,z)) * z) / (z * y) != u | R(x,T(y,z),z) = u. [para(166(a,1),436(a,1,2))]. 728 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(172(a,2),504(a,1,2))]. 729 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(306(a,1),531(a,2,2))]. 730 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(79,a,532,a),flip(a)]. 731 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(102(a,2),539(a,1,1,1))]. 732 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(539(a,1),329(a,1,1))]. 733 (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(227(a,1),539(a,1,1,1)),flip(a)]. 734 T(x,R(T(x,y),z,u)) = x. [hyper(188,a,540,a)]. 735 T(x \ y,R(y / x,z,u)) = x \ y. [para(170(a,1),734(a,1,2,1))]. 736 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(212,a,541,a)]. 737 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(79,a,541,a),flip(a)]. 738 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(69,a,541,a(flip),b,271,a(flip))]. 739 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(69,a,541,a(flip),b,101,a(flip))]. 740 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(63(a,1),545(a,1,1,2,1))]. 741 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(545(a,1),207(a,1,1)),flip(b)]. 742 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(545(a,1),258(a,1,1)),flip(b)]. 743 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(94(a,1),545(a,1,1,2))]. 744 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(198(a,1),545(a,1,1,2)),flip(a)]. 745 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(406(a,1),545(a,1,1,2))]. 746 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(409(a,1),545(a,1,1,2))]. 747 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(652(a,2),545(a,1,1,2)),flip(a)]. 748 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(28(a,2),546(a,1,1,2,1))]. 749 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(63(a,1),546(a,1,1,2,1))]. 750 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(546(a,1),207(a,1,1)),flip(b)]. 751 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(107(a,1),582(a,1,2,1,2)),flip(a)]. 752 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(106(a,1),582(a,1,2,1,2))]. 753 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(583(a,1),150(a,1,1,2))]. 754 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(583(a,1),151(a,1,2,2))]. 755 T(x,y) * T(y,x * y) != z | L(y,T(x,y),y) * T(x,y) = z. [para(105(a,1),616(a,1,2,2))]. 756 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(199,a,63,a(flip),b,665,a)]. 758 (1 / (1 / x)) * K(x,1 / x) = x. [para(175(a,2),756(a,1,2))]. 760 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(107(a,1),705(a,1,1,1)),flip(a)]. 761 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(730(a,2),207(a,1,1)),flip(b)]. 762 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(730(a,1),92(a,1,2))]. 763 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(94(a,1),730(a,2,1,2))]. 764 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(307(a,1),730(a,2,1,2))]. 765 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(409(a,1),730(a,2,1,2))]. 766 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(737(a,2),207(a,1,1)),flip(b)]. 767 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(146(a,1),737(a,2,1,2))]. 769 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(441(a,1),737(a,2,1,2))]. 770 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(442(a,1),737(a,2,1,2))]. 771 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(443(a,1),737(a,2,1,2))]. 772 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(737(a,1),212(a,1,1))]. 773 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(174(a,1),424(a,1,1))]. 774 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(309(a,2),92(a,1,2))]. 775 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(675(a,1),309(a,2,1))]. 776 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(199,a,94,a(flip),b,310,a)]. 777 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(303(a,1),310(a,1,1)),flip(a)]. 778 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(310(a,1),92(a,1,2))]. 780 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(14(a,1),777(a,1,1,1))]. 783 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(94(a,1),396(a,1,2,1))]. 784 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(198(a,1),396(a,1,2,1))]. 785 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(606(a,1),396(a,1,2,1))]. 786 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(331,a,399,a),flip(a)]. 787 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(309(a,2),399(a,1,2))]. 788 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(105(a,1),412(a,1,1,1)),flip(a)]. 789 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(412(a,2),218(a,1,2))]. 790 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(413(a,1),44(a,1,1)),flip(a)]. 791 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(102(a,1),431(a,1,1,1))]. 792 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(18,a,366,a,b,434,a),flip(a)]. 793 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(17,a,165,a,b,434,a(flip)),flip(a)]. 794 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(793(a,1),434(a,1,1)),flip(a)]. 795 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(337,a,447,a),flip(a)]. 796 R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. [para(447(a,1),337(a,1))]. 797 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(448(a,1),582(a,1,2,1,2)),flip(a)]. 798 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(105(a,1),458(a,1,2))]. 799 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(407(a,1),464(a,1,2,1)),flip(a)]. 800 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(482(a,2),388(a,1,2)),flip(a)]. 801 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(484(a,2),271(a,1,1))]. 803 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(302,a,511,a)]. 804 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(199,a,466,a(flip),b,511,a(flip)),flip(a)]. 805 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(68,a,511,a(flip),b,176,a)]. 806 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(308(a,1),511(a,1,1))]. 807 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(69,a,516,a(flip),b,177,a),flip(a)]. 808 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(69,a,517,a(flip),b,329,a)]. 809 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(145(a,1),526(a,2,1)),flip(a)]. 810 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(68,a,83,a(flip),b,535,a),flip(a)]. 812 (x * y) * R(T(z,x * y),x,y) != u * w | u \ ((z * x) * y) = w. [para(535(a,2),492(a,1))]. 813 R(T(T(x,y),y * z),y,z) = (y * z) \ ((y * x) * z). [para(166(a,1),536(a,1,2,1)),flip(a)]. 814 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(T(y,(x \ 1) * x),x \ 1,x). [para(172(a,2),536(a,1,1))]. 816 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(60(a,1),579(a,1,1,1))]. 817 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(16(a,1),584(a,1,1,1,1))]. 818 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(105(a,1),593(a,1,1))]. 819 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(69,a,594,a(flip),b,105,a)]. 820 T(L(L(x,y,x),z,u),y) = T(L(x,z,u),x * y). [hyper(199,a,40,a(flip),b,613,a)]. 821 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [hyper(581,a,624,a)]. 822 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(199,a,40,a,b,625,a)]. 823 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [para(16(a,1),627(a,1,2,1)),flip(a)]. 824 (x / y) \ (L(z,y,x / y) * x) != u | y * T(z,x) = u. [para(647(a,1),254(a,1,2)),flip(b)]. 825 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(410(a,1),680(a,1,1)),flip(a)]. 826 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(683(a,1),140(a,1))]. 827 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),744(a,2,1,2,1))]. 828 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),744(a,2,1,2))]. 829 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(159(a,1),744(a,2,1,2))]. 830 T(L(L(x,y,z),u,x),u) = T(L(x,y,z),x * u). [para(45(a,1),820(a,1,1))]. 831 (x * y) * T(L(x,z,u),x * y) = x * (y * T(L(x,z,u),y)). [para(830(a,1),396(a,1,2))]. 832 (x * y) \ ((x * (y / z)) * z) != u | a(x,y / z,z) = u. [para(16(a,1),597(a,1,1,2))]. 833 (x * (y * z)) \ ((x * T(z,y)) * y) != u | a(x,T(z,y),y) = u. [para(166(a,1),597(a,1,1,2))]. 834 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(199,a,423,a,b,751,a(flip)),flip(a)]. 835 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),753(a,1,1,2,1,2))]. 836 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(753(a,1),207(a,1,1)),flip(b)]. 837 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(63(a,1),754(a,1,2,2,1,2))]. 838 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(102(a,1),760(a,1,1,1))]. 839 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(448(a,1),760(a,1,1)),flip(a)]. 840 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(154,a,794,a,b,xx)]. 842 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(636,a,799,a),flip(a)]. 843 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(215,a,799,a),flip(a)]. 844 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(73,a,799,a)]. 845 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),799(a,2,2,1))]. 846 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),799(a,2,2,1))]. 847 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(199,a,367,a(flip),b,845,a(flip)),flip(a)]. 848 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),805(a,1,2,1)),flip(a)]. 849 (1 / x) * (x * T(x \ y,z)) != u | T((1 / x) * y,z) = u. [para(805(a,1),211(a,1,2)),flip(b)]. 850 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(584,a,807,a),flip(a)]. 851 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(579,a,807,a)]. 852 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(68,a,807,a(flip),b,365,a(flip))]. 853 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(11(a,1),807(a,2,1,1))]. 854 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(579,a,853,a)]. 855 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(853(a,1),579(a,1))]. 856 (1 / x) * T(x,y) = T(x,y) / x. [para(63(a,1),854(a,1,2,1))]. 857 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(521,a,856,a),flip(a)]. 858 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(154,a,856,a,b,14,a),flip(a)]. 859 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(79,a,856,a)]. 860 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(73,a,856,a)]. 861 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(199,a,229,a(flip),b,856,a(flip))]. 863 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(856(a,1),521(a,1))]. 864 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(856(a,1),622(a,1,2))]. 865 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(568,a,858,a)]. 866 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(106(a,1),861(a,1,1)),flip(a)]. 867 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(199,a,365,a(flip),b,808,a)]. 868 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(842(a,1),14(a,1,2)),flip(a)]. 869 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [para(843(a,1),14(a,1,2))]. 870 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),843(a,1,2,1))]. 871 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). [para(14(a,1),844(a,1,2,2,1))]. 872 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(844(a,1),211(a,1,2)),flip(b)]. 873 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(69,a,846,a(flip),b,365,a)]. 874 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(848(a,1),361(a,1,2))]. 875 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(16(a,1),851(a,2,1,1))]. 876 T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. [para(851(a,1),215(a,1))]. 877 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(16(a,1),852(a,1,2,1,1))]. 878 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(199,a,799,a(flip),b,867,a)]. 879 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(867(a,1),16(a,1,1))]. 881 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(871(a,1),211(a,1,2)),flip(b)]. 883 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [hyper(215,a,875,a)]. 884 (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. [para(877(a,1),211(a,1,2)),flip(b)]. 886 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(856(a,1),248(a,1,2,2))]. 887 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(198(a,1),397(a,1,2,1))]. 888 K(x \ 1,x) * L(L(y,x,x \ 1),z,u) = (x \ 1) * (x * L(y,z,u)). [para(172(a,2),398(a,1,1))]. 889 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(198(a,1),398(a,1,2,1))]. 890 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(199,a,80,a(flip),b,402,a)]. 891 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(102(a,1),432(a,1,1,1))]. 892 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * ((y / z) * z). [para(446(a,1),432(a,1,1,1)),flip(a)]. 893 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(847(a,1),459(a,1,1,1))]. 894 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(463(a,2),19(a,1))]. 895 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(407(a,1),463(a,1,2,1)),flip(a)]. 896 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(303(a,1),465(a,1,2,1))]. 897 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(637(a,1),465(a,1,2,1))]. 898 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(468(a,2),20(a,1))]. 899 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(314(a,1),468(a,1,1,1)),flip(a)]. 900 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(315(a,2),469(a,1,1,1))]. 901 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(694(a,1),469(a,1,1,1))]. 902 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(470(a,1),218(a,1,2))]. 903 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(470(a,1),402(a,1,2))]. 904 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(443(a,1),500(a,1,1,1))]. 905 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(775(a,1),512(a,1,1))]. 906 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(649(a,1),387(a,1,2)),flip(a)]. 907 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(658(a,1),426(a,1,1)),flip(a)]. 908 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [hyper(199,a,431,a(flip),b,689,a(flip))]. 909 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [para(38(a,1),908(a,1,2))]. 910 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(17,a,535,a,b,909,a),flip(a)]. 911 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(313(a,1),738(a,1,1,2))]. 912 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(368(a,1),761(a,1,1,1))]. 913 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(767(a,1),101(a,1,1))]. 914 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(11(a,1),839(a,2,1,2))]. 915 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),839(a,1,1,1)),flip(a)]. 916 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(890(a,1),19(a,1)),flip(a)]. 918 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(611(a,1),530(a,1,2))]. 919 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,165,a,b,542,a),flip(a)]. 920 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(68,a,919,a(flip),b,272,a),flip(a)]. 922 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(198(a,1),710(a,1,2,1))]. 923 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(330,a,785,a),flip(a)]. 924 T(x,y) * (x * z) = x * (T(x,y) * z). [para(163(a,1),923(a,1,2)),flip(a)]. 925 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(499,a,924,a)]. 926 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(270,a,924,a),flip(a)]. 927 T(x,x * y) * y = T(x * y,x). [hyper(249,a,924,a),flip(a)]. 928 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(199,a,80,a(flip),b,924,a)]. 929 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(73,a,924,a)]. 930 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(68,a,80,a(flip),b,924,a)]. 931 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(68,a,56,a(flip),b,924,a),flip(a)]. 932 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(68,a,55,a(flip),b,924,a),flip(a)]. 933 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),924(a,1,2)),flip(a)]. 935 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(105(a,1),924(a,1,2)),flip(a)]. 936 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(107(a,1),924(a,1,1)),flip(a)]. 937 (T(x,y) * z) \ (x * (T(x,y) * z)) = L(T(x,z),z,T(x,y)). [para(924(a,1),161(a,1,2))]. 938 x \ T(y * x,y) = T(T(y,x),y * x). [hyper(68,a,927,a(flip),b,163,a)]. 939 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(79,a,932,a)]. 940 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(73,a,932,a)]. 941 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(932(a,1),254(a,1,2)),flip(b)]. 942 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(932(a,1),176(a,1,2)),flip(a)]. 943 T(x,T(x,y) \ 1) != z | (T(x,y) \ 1) \ (T(x,y) \ x) = z. [para(939(a,1),337(a,1,1))]. 944 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(939(a,1),873(a,2,1))]. 945 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(940(a,1),804(a,1,2,1)),flip(a)]. 946 T(x,y) * (x \ y) = (x * y) / x. [hyper(17,a,252,a(flip),b,926,a)]. 948 T(x,x \ y) * y = x * (x * (y / x)). [para(251(a,1),926(a,1,2)),flip(a)]. 949 T(x,y) \ T(y,x) = x \ y. [hyper(68,a,185,a,b,946,a)]. 950 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(86(a,1),946(a,1,2))]. 951 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(946(a,1),403(a,1,1))]. 952 ((x * y) / x) \ T(x,y) = y \ x. [para(185(a,1),949(a,1,1))]. 953 T(x,y) = ((x * y) / x) * (y \ x). [para(952(a,1),14(a,1,2)),flip(a)]. 954 T(x,y) / (y \ x) = (x * y) / x. [para(952(a,1),60(a,1,2))]. 957 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(68,a,953,a,b,105,a),flip(a)]. 958 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(16(a,1),953(a,2,1,1)),flip(a)]. 959 ((x * (x / y)) / x) * y = T(x,x / y). [para(63(a,1),953(a,2,2)),flip(a)]. 960 x * (T(x,y) \ y) = T(y,T(x,y)). [para(150(a,1),953(a,2,1)),flip(a)]. 961 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(350(a,1),953(a,2,2)),flip(a)]. 962 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),954(a,1,2)),flip(a)]. 963 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(154,a,928,a,b,14,a)]. 964 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,387,a,b,928,a)]. 965 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(928(a,1),254(a,1,2)),flip(b)]. 967 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(73,a,931,a),flip(a)]. 968 x \ T(y * x,y) = L(y,x,y). [hyper(199,a,617,a(flip),b,938,a)]. 969 x * L(y,x,y) = T(y * x,y). [para(968(a,1),14(a,1,2))]. 971 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(199,a,751,a(flip),b,959,a(flip)),flip(a)]. 972 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(967(a,2),211(a,1,2)),flip(b)]. 973 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(63(a,1),971(a,1,2,1,2))]. 974 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(744(a,2),971(a,1,2))]. 975 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(154,a,693,a,b,935,a)]. 976 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,387,a,b,935,a)]. 978 T(x,T(y,x)) * (y * x) = x * (x * y). [para(195(a,1),935(a,1,2)),flip(a)]. 980 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(944(a,1),16(a,1,1))]. 981 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(957(a,1),184(a,1,1))]. 982 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(199,a,106,a(flip),b,981,a)]. 983 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(69,a,149,a(flip),b,958,a),flip(a)]. 984 T(T(x * y,x) / y,x * y) = x. [para(962(a,1),149(a,1,1))]. 985 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(962(a,1),792(a,1,1))]. 986 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(329(a,1),984(a,1,1,1,1))]. 987 x * R(y,x,T(y,x)) = T(y * x,y). [para(985(a,1),153(a,1,2))]. 988 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(150(a,1),973(a,1,2)),flip(a)]. 989 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(107(a,1),980(a,1,1)),flip(a)]. 991 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(13(a,1),972(a,1,2,2))]. 992 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(365(a,1),933(a,1,2))]. 994 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(992(a,2),19(a,2))]. 995 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(218,a,974,a)]. 997 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(242(a,1),800(a,1,2))]. 998 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(579,a,801,a),flip(a)]. 999 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(376,a,809,a)]. 1000 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(69,a,999,a,b,365,a)]. 1001 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),895(a,2,2,1))]. 1002 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(198(a,1),895(a,1,2)),flip(a)]. 1003 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(199,a,533,a(flip),b,1001,a(flip)),flip(a)]. 1004 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(68,a,1001,a(flip),b,533,a(flip))]. 1005 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(1003(a,1),552(a,1,1,2)),flip(a)]. 1006 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1003(a,1),842(a,1,2,1,2))]. 1007 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(306(a,1),1004(a,1,1))]. 1008 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(199,a,164,a(flip),b,897,a)]. 1009 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(306(a,1),1008(a,1,2)),flip(a)]. 1010 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(58(a,1),899(a,2,1,1))]. 1011 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(750,a,1010,a)]. 1012 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(63(a,1),1011(a,1,2,1))]. 1013 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(521,a,1012,a),flip(a)]. 1014 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(154,a,1012,a,b,14,a),flip(a)]. 1015 (1 / x) \ (R(x,y,z) / x) = R(x,y,z). [hyper(73,a,1012,a)]. 1016 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [para(1012(a,2),16(a,1,1))]. 1017 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1012(a,1),155(a,2)),flip(a)]. 1018 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1012(a,1),94(a,2,1))]. 1019 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1015(a,1),211(a,1,2)),flip(b)]. 1020 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(1014(a,1),656(a,1,1,2))]. 1021 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(199,a,531,a(flip),b,904,a)]. 1022 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(199,a,751,a(flip),b,911,a)]. 1023 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(107(a,1),936(a,1,2,1))]. 1024 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(149(a,1),936(a,1,2,1)),flip(a)]. 1025 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(499,a,1023,a)]. 1026 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(326,a,1023,a),flip(a)]. 1027 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(68,a,55,a(flip),b,1023,a),flip(a)]. 1028 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(199,a,866,a(flip),b,1026,a(flip)),flip(a)]. 1029 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(63(a,1),1026(a,1,2,1)),flip(a)]. 1030 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1027(a,1),19(a,1))]. 1031 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(365(a,1),998(a,1,1))]. 1032 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [para(11(a,1),1021(a,1,1,1))]. 1033 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(63(a,1),1021(a,1,1,1,2))]. 1034 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(199,a,304,a(flip),b,1032,a)]. 1035 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1034(a,1),16(a,1,1))]. 1036 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1034(a,1),63(a,1,1))]. 1037 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(199,a,145,a(flip),b,1035,a)]. 1038 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1035(a,1),26(a,2,1)),flip(a)]. 1039 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1037(a,1),85(a,1,1))]. 1040 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(14(a,1),1036(a,1,1,2,1))]. 1041 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(63(a,1),1029(a,1,1)),flip(a)]. 1042 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1031(a,1),262(a,1,1)),flip(b)]. 1043 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(242(a,1),1031(a,1,1))]. 1044 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(845(a,1),1031(a,1,1))]. 1045 T(a(x,y,z),x * (y * z)) \ ((x * y) * z) != u | x * (y * z) = u. [para(196(a,1),253(a,1,1)),flip(b)]. 1046 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(908(a,1),415(a,2,2))]. 1047 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(824,a,483,a),flip(a)]. 1048 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(68,a,483,a(flip),b,648,a(flip))]. 1049 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(483(a,1),824(a,1))]. 1050 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(199,a,854,a(flip),b,1047,a)]. 1051 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(199,a,845,a(flip),b,1047,a)]. 1052 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(858(a,1),1047(a,1,1))]. 1053 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1048(a,1),211(a,1,2)),flip(b)]. 1054 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(954(a,1),1048(a,1,2,1,2))]. 1055 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1050(a,2),16(a,1,1)),flip(a)]. 1056 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(547(a,1),1050(a,2,1))]. 1057 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(107(a,1),1051(a,2,2))]. 1058 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(149(a,1),1051(a,2,2))]. 1059 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(1013(a,1),1051(a,1,1,2))]. 1060 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1058(a,2),352(a,1,2))]. 1061 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(375(a,1),1058(a,1,1,2,2,1))]. 1063 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(313(a,1),628(a,1,1,1))]. 1064 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(409(a,1),644(a,1,2,1)),flip(a)]. 1065 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(68,a,650,a(flip),b,173,a),flip(a)]. 1066 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(650(a,1),387(a,1,2)),flip(a)]. 1067 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(659(a,1),426(a,1,1)),flip(a)]. 1068 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(199,a,432,a(flip),b,690,a(flip))]. 1069 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(199,a,433,a(flip),b,691,a(flip))]. 1071 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(92(a,1),736(a,1,1,1,1))]. 1072 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(145(a,1),762(a,1,2,1,2))]. 1073 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(94(a,1),762(a,1,2,1,2))]. 1074 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(198(a,1),762(a,1,2,1,2))]. 1075 (1 / x) \ ((y * (((1 / x) * x) \ ((1 / x) * z))) / y) = x * ((y * (x \ z)) / y). [hyper(68,a,763,a(flip),b,176,a)]. 1076 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(763(a,1),218(a,1,2))]. 1077 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(764(a,1),388(a,1,2)),flip(a)]. 1078 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(69,a,770,a(flip),b,177,a),flip(a)]. 1079 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(788(a,1),399(a,1,2))]. 1080 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(853(a,1),817(a,1))]. 1081 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(199,a,642,a(flip),b,818,a)]. 1082 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1081(a,1),63(a,1,1))]. 1084 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(199,a,373,a(flip),b,828,a)]. 1085 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(925(a,1),829(a,1,1,1))]. 1087 L(T(x \ y,z),x,1 / x) != u | T((1 / x) * y,z) = u. [para(176(a,1),849(a,1))]. 1089 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(52(a,1),881(a,1,2,1,2))]. 1092 L(T(x,y),y,T(x,z)) = T(x,T(x,z) * y). [hyper(255,a,937,a),flip(a)]. 1093 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(16(a,1),428(a,1,1,1))]. 1094 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(577(a,2),19(a,1))]. 1095 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(94(a,1),711(a,1,2,1))]. 1097 (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),774(a,1,1))]. 1099 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(780(a,1),1003(a,1,1)),flip(a)]. 1100 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(172(a,2),784(a,1,1))]. 1101 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(584,a,791,a),flip(a)]. 1102 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(579,a,791,a)]. 1103 (x * T(y,z)) * y = (x * y) * T(y,z). [para(366(a,1),1101(a,1,1))]. 1104 (1 / T(x,y)) * x = x / T(x,y). [hyper(490,a,1103,a),flip(a)]. 1105 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(487,a,1103,a)]. 1106 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(268,a,1103,a),flip(a)]. 1107 (x * T(y,x * y)) * y = y * (x * y). [hyper(199,a,105,a(flip),b,1103,a)]. 1108 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(199,a,81,a(flip),b,1103,a)]. 1109 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(73,a,1103,a)]. 1110 x * T(y,x * y) = T(x * y,y). [hyper(18,a,192,a,b,1103,a)]. 1113 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(107(a,1),1103(a,1,1,2)),flip(a)]. 1114 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(73,a,1104,a)]. 1116 ((x * y) * T(z,y * z)) / T(y * z,z) != u | R(x,y,T(z,y * z)) = u. [para(1110(a,1),436(a,1,2))]. 1117 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1114(a,1),211(a,1,2)),flip(b)]. 1118 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1114(a,1),877(a,2,1))]. 1119 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1114(a,1),883(a,1,1)),flip(a)]. 1120 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1105(a,2),155(a,2)),flip(a)]. 1121 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(320,a,1106,a),flip(a)]. 1122 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1106(a,1),20(a,1)),flip(a)]. 1123 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1106(a,1),262(a,1,1)),flip(b)]. 1124 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(988(a,2),1106(a,1,1))]. 1126 (x / y) * T(y,x) = (y * x) / y. [hyper(69,a,105,a(flip),b,1108,a),flip(a)]. 1127 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(69,a,16,a(flip),b,1108,a),flip(a)]. 1129 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(521,a,1126,a),flip(a)]. 1130 T(x / y,T(y,x)) = y \ x. [hyper(154,a,1126,a,b,946,a)]. 1131 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(154,a,1126,a,b,14,a),flip(a)]. 1132 T(x,y) / T(y,x) = x / y. [hyper(69,a,185,a,b,1126,a)]. 1133 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(69,a,1126,a(flip),b,105,a)]. 1135 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(311(a,1),1126(a,1,1)),flip(a)]. 1136 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(347(a,1),1126(a,1,1)),flip(a)]. 1137 T(x,T(y,x * y)) = y \ (x * y). [para(15(a,1),1130(a,1,1))]. 1138 T(x / y,(x * y) / x) = y \ x. [para(185(a,1),1130(a,1,2))]. 1139 T(x \ y,T(x,y)) = T(x \ y,x). [para(1130(a,1),167(a,1,1)),flip(a)]. 1140 T(x,T(y,x * y)) = T(x,y). [hyper(199,a,32,a,b,1137,a)]. 1141 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(1139(a,1),105(a,1,2))]. 1143 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(1139(a,2),361(a,1,2,2))]. 1144 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1109(a,1),915(a,1,1)),flip(a)]. 1145 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(612(a,1),1144(a,1,1,2))]. 1146 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(1118(a,1),875(a,1,2,1))]. 1147 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1124(a,1),935(a,1,2)),flip(a)]. 1148 x * T(x \ y,y) = T(y,x \ y). [hyper(266,a,1129,a),flip(a)]. 1150 T(x,y \ x) / y = T(x / y,x). [hyper(69,a,1148,a(flip),b,365,a)]. 1151 T(x,y * T(y \ x,x)) = x. [para(1148(a,2),178(a,1,2))]. 1152 x * ((y * (x \ y)) / y) = T(y,x \ y). [para(185(a,1),1148(a,1,2))]. 1153 (1 / x) * T(y,x \ y) = T((1 / x) * y,y). [para(1148(a,1),803(a,1,2))]. 1154 T(x,x * (y * T(y \ 1,x))) = x. [para(631(a,1),1151(a,1,2))]. 1155 T(x,y \ x) / y = (x * (x / y)) / x. [hyper(199,a,185,a(flip),b,1150,a)]. 1156 T(T(x,y \ x) / y,x) = x / y. [para(1150(a,2),47(a,1,1))]. 1157 T(x,x / y) = T(x,y \ x). [hyper(199,a,971,a(flip),b,1152,a(flip)),flip(a)]. 1158 T(x * y,(x * y) / x) = T(x * y,y). [para(13(a,1),1157(a,2,2))]. 1159 T(x,(y \ x) \ x) = T(x,y). [para(60(a,1),1157(a,1,2)),flip(a)]. 1160 T(x,x / (x / y)) = T(x,y). [para(63(a,1),1157(a,2,2))]. 1161 T(x,T(y,y \ x)) = T(x,y). [para(106(a,2),1159(a,1,2))]. 1162 (x / y) \ T(x,y) = (x * y) / x. [hyper(68,a,1160,a(flip),b,973,a)]. 1163 T(x * y,T(x,y)) = T(x * y,x). [para(13(a,1),1161(a,1,2,2))]. 1164 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),1162(a,1,1)),flip(a)]. 1165 T(x * y,T(y,x)) = T(x * y,y). [para(185(a,2),1158(a,1,2))]. 1166 T(x,(1 / y) * x) = T(x,y \ x). [hyper(17,a,1110,a,b,1153,a),flip(a)]. 1167 T((1 / x) * (y * x),y * x) = (1 / x) * T(y * x,T(y,x)). [para(32(a,2),1153(a,1,2,2)),flip(a)]. 1168 T(x,(y \ 1) \ x) = T(x,y * x). [para(60(a,1),1166(a,1,2,1)),flip(a)]. 1169 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(1164(a,1),685(a,1,1))]. 1170 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(1169(a,1),87(a,1,1))]. 1171 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(79,a,1147,a),flip(a)]. 1172 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(199,a,988,a(flip),b,1171,a(flip))]. 1173 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(199,a,441,a,b,1172,a(flip)),flip(a)]. 1174 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(107(a,1),1113(a,1,2))]. 1175 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(149(a,1),1113(a,1,2)),flip(a)]. 1176 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(490,a,1174,a),flip(a)]. 1177 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(487,a,1174,a)]. 1178 (x * (y / x)) * (x \ y) = y * (y / x). [hyper(199,a,82,a(flip),b,1174,a)]. 1179 ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). [para(63(a,1),1178(a,1,2))]. 1180 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(154,a,1176,a,b,14,a),flip(a)]. 1181 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(199,a,1041,a(flip),b,1176,a(flip))]. 1182 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1176(a,1),155(a,2)),flip(a)]. 1183 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(199,a,358,a(flip),b,1177,a(flip))]. 1184 ((x \ y) * x) * x = y * (y / (y / x)). [para(714(a,1),1179(a,1,1))]. 1185 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(181(a,1),1146(a,1,1)),flip(a)]. 1186 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1180(a,1),1050(a,1,1))]. 1187 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(199,a,163,a(flip),b,1185,a)]. 1188 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(199,a,847,a(flip),b,1187,a)]. 1189 x * (y * T(L(x,z,u),y)) = L(x,z,u) * (x * y). [hyper(215,a,831,a),flip(a)]. 1190 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(105(a,1),1189(a,1,2)),flip(a)]. 1191 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(499,a,1190,a)]. 1192 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(497,a,1190,a),flip(a)]. 1193 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(270,a,1190,a),flip(a)]. 1194 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(73,a,1190,a)]. 1195 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(68,a,80,a(flip),b,1190,a)]. 1196 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(68,a,55,a(flip),b,1190,a),flip(a)]. 1197 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(68,a,1190,a(flip),b,85,a)]. 1199 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(73,a,1196,a)]. 1200 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1196(a,1),26(a,2,1)),flip(a)]. 1201 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1196(a,1),176(a,1,2)),flip(a)]. 1202 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(68,a,32,a,b,1192,a),flip(a)]. 1203 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(154,a,1193,a,b,14,a),flip(a)]. 1205 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1194(a,1),1084(a,1,1,1)),flip(a)]. 1206 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(172(a,2),1195(a,1,2))]. 1207 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(150(a,1),837(a,1,2,2))]. 1208 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(73,a,906,a)]. 1209 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(68,a,105,a(flip),b,906,a),flip(a)]. 1210 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),906(a,2,2,1,2))]. 1211 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(12(a,1),1209(a,2,2,1,2))]. 1212 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(199,a,360,a,b,1211,a),flip(a)]. 1213 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(68,a,360,a,b,1211,a),flip(a)]. 1214 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(1213(a,2),211(a,1,2)),flip(b)]. 1215 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(145(a,2),1213(a,1,1,1))]. 1216 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(1213(a,1),857(a,1,1))]. 1217 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1215(a,2),348(a,1,2)),flip(a)]. 1218 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(73,a,1210,a),flip(a)]. 1219 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(242(a,1),1210(a,1,2)),flip(a)]. 1220 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1047(a,2),1210(a,1,2)),flip(a)]. 1221 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [hyper(884,a,1220,a),flip(a)]. 1222 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(881,a,1220,a),flip(a)]. 1223 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(492,a,1220,a),flip(a)]. 1224 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1220(a,1,2,1)),flip(a)]. 1225 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1220(a,2,2,1,2,2))]. 1226 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1223(a,1,1,2))]. 1227 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(63(a,1),1223(a,2,2,2,1))]. 1228 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1218(a,1),1154(a,1,2,2))]. 1229 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(982(a,1),1228(a,1,2,2,2,2))]. 1230 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),1229(a,1,2,2,2))]. 1231 T(T(x,y),x * (T(x,z) \ x)) != u | T(x,y) = u. [para(1230(a,1),339(a,1,1,1))]. 1232 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(13(a,1),1219(a,1,2,1)),flip(a)]. 1233 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1126(a,1),1227(a,2,2))]. 1235 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(69,a,365,a(flip),b,907,a)]. 1236 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(11(a,1),907(a,2,1,1,1))]. 1237 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(199,a,365,a(flip),b,1236,a)]. 1238 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(365(a,1),1237(a,1,1))]. 1239 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(79,a,1238,a),flip(a)]. 1240 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(242(a,1),1238(a,1,1))]. 1241 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(1053,a,1239,a)]. 1242 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(199,a,999,a,b,1239,a(flip)),flip(a)]. 1243 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1241(a,1,1,2,2))]. 1244 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(199,a,364,a(flip),b,1240,a)]. 1245 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(950(a,1),20(a,1))]. 1246 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(1231,a,963,a),flip(a)]. 1247 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1246(a,1),60(a,1,2))]. 1248 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1123,a,1247,a)]. 1249 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1120,a,1247,a)]. 1250 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1247(a,2),622(a,1,2))]. 1251 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1249(a,1),365(a,1,1)),flip(a)]. 1252 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(107(a,1),989(a,1,2)),flip(a)]. 1253 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(60(a,1),1252(a,1,2,1,1)),flip(a)]. 1254 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(14(a,1),1006(a,1,2,1)),flip(a)]. 1256 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(40(a,2),1254(a,2,2))]. 1257 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(40(a,2),1256(a,1,1))]. 1258 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),1024(a,1,1)),flip(a)]. 1259 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(326,a,1258,a),flip(a)]. 1260 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(270,a,1258,a),flip(a)]. 1261 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(68,a,80,a(flip),b,1258,a)]. 1262 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(68,a,55,a(flip),b,1258,a),flip(a)]. 1263 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(199,a,752,a,b,1259,a(flip)),flip(a)]. 1264 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(375(a,1),1262(a,1,2,1)),flip(a)]. 1265 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(17,a,387,a,b,1260,a)]. 1266 x \ (((y * x) / y) * z) != u | ((y * x) / y) * (x \ z) = u. [para(1260(a,1),254(a,1,2)),flip(b)]. 1267 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(741,a,1063,a),flip(a)]. 1268 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(51(a,1),1065(a,2,2,1))]. 1269 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(111(a,1),1065(a,2,2,1))]. 1270 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(199,a,542,a(flip),b,1269,a(flip)),flip(a)]. 1271 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(69,a,1269,a(flip),b,542,a(flip))]. 1272 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(68,a,1269,a(flip),b,542,a(flip))]. 1273 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(69,a,1270,a(flip),b,165,a)]. 1274 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [para(63(a,1),1270(a,1,2)),flip(a)]. 1275 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1270(a,1),85(a,1,1))]. 1276 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(1270(a,1),552(a,1,1,2)),flip(a)]. 1277 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1270(a,1),583(a,2,1))]. 1279 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(1272(a,1),1057(a,2,2))]. 1280 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(199,a,539,a(flip),b,1274,a)]. 1282 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(604,a,1280,a),flip(a)]. 1283 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(1280(a,1),14(a,1,2))]. 1284 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [para(314(a,1),1280(a,1,2)),flip(a)]. 1285 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1280(a,1),604(a,1))]. 1286 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(552(a,2),1283(a,1,2))]. 1287 (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. [hyper(69,a,146,a(flip),b,1286,a)]. 1288 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [para(1287(a,1),107(a,1,1)),flip(a)]. 1289 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(32(a,2),1268(a,1,2,1)),flip(a)]. 1291 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(199,a,959,a(flip),b,1078,a(flip))]. 1292 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(11(a,1),1078(a,2,1,1,2))]. 1293 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1291(a,1),1173(a,1,1))]. 1294 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(836,a,1292,a)]. 1295 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(63(a,1),1294(a,1,2,1,2))]. 1296 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(521,a,1295,a),flip(a)]. 1297 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(365(a,1),1102(a,2,1))]. 1298 T((1 / x) * (y * x),y * x) = (1 / x) * T(y * x,y). [para(1163(a,1),1167(a,2,2))]. 1299 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1175(a,1,1,2)),flip(a)]. 1300 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(490,a,1299,a),flip(a)]. 1301 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(487,a,1299,a)]. 1302 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1208(a,1,2,2,1,2)),flip(a)]. 1303 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(199,a,365,a(flip),b,1235,a)]. 1304 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(531(a,1),1267(a,1,1))]. 1305 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(199,a,784,a(flip),b,1297,a(flip)),flip(a)]. 1306 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(199,a,631,a(flip),b,1297,a(flip))]. 1307 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(154,a,1297,a(flip),b,784,a(flip)),flip(a)]. 1308 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),1297(a,1,2,1,2))]. 1310 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1307(a,1,2,1,2)),flip(a)]. 1311 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(199,a,105,a(flip),b,1310,a)]. 1312 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(68,a,1310,a,b,xx)]. 1313 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(105(a,1),1311(a,1,1))]. 1314 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(69,a,1313,a,b,xx)]. 1315 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(68,a,1313,a,b,221,a)]. 1317 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1313(a,2),59(a,1,2,1))]. 1318 T(x * y,y) / y = y \ T(y * x,y). [para(13(a,1),1314(a,1,1,1,1))]. 1319 x \ T(x * (y / x),x) = T(y,x) / x. [para(64(a,1),1314(a,1,1,1)),flip(a)]. 1320 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1314(a,1),207(a,1,1)),flip(b)]. 1324 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),1317(a,1,2,1,1,1))]. 1325 T(x * (y / x),x) = x * (T(y,x) / x). [para(64(a,1),1317(a,1,2,1,1)),flip(a)]. 1326 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(366(a,1),1318(a,1,1,1)),flip(a)]. 1327 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(532(a,1),1318(a,1,1,1)),flip(a)]. 1328 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(850(a,1),1324(a,1,2)),flip(a)]. 1329 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1270(a,1),1324(a,1,2,1,1))]. 1330 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1312(a,1,2,1,2,1))]. 1332 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(13(a,1),1315(a,1,2,1,1))]. 1333 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1319(a,1),1330(a,2,1))]. 1334 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1333(a,1),14(a,1,2)),flip(a)]. 1335 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(131(a,1),1334(a,2,2,1,1))]. 1336 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1334(a,2),254(a,1,2)),flip(b)]. 1338 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(199,a,784,a(flip),b,1308,a(flip)),flip(a)]. 1339 T(x,x * T(x \ 1,y)) = x. [hyper(154,a,631,a(flip),b,1308,a(flip))]. 1340 T(x,(x \ 1) * x) = x. [para(105(a,1),1339(a,1,2))]. 1341 T(x,K(x \ 1,x)) = x. [para(242(a,1),1339(a,1,2))]. 1342 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1339(a,1),692(a,1,1))]. 1343 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(367(a,1),1339(a,1,2))]. 1344 T(x \ 1,x \ T(x,y)) = x \ 1. [para(845(a,1),1339(a,1,2))]. 1345 T(1 / x,T(x,y) / x) = 1 / x. [para(854(a,1),1339(a,1,2))]. 1346 R(x,x \ 1,x) = T(x,x \ 1). [para(1340(a,1),688(a,1,1))]. 1347 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1341(a,1),105(a,1,2))]. 1348 T(x,x \ 1) \ x = (x \ 1) * x. [para(1346(a,1),350(a,1,1))]. 1349 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1344,a)]. 1350 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1344(a,1),105(a,1,2))]. 1351 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1345(a,1),373(a,1,1,2)),flip(a)]. 1352 ((x \ 1) \ 1) \ x = (x \ 1) * x. [hyper(199,a,556,a(flip),b,1348,a(flip)),flip(a)]. 1353 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(154,a,1348,a(flip),b,932,a),flip(a)]. 1355 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(199,a,172,a,b,1352,a)]. 1356 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1352(a,2),275(a,1))]. 1357 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1355(a,1),14(a,1,2))]. 1358 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(524,a,1357,a)]. 1359 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1343(a,1),688(a,1,1))]. 1360 (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). [para(1347(a,1),246(a,1,1))]. 1361 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1349(a,1),653(a,1,1)),flip(a)]. 1362 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(199,a,652,a,b,1361,a),flip(a)]. 1363 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1362(a,2,1)),flip(a)]. 1364 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1363,a)]. 1365 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1363(a,1),105(a,1,2)),flip(a)]. 1366 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1363(a,1),215(a,1,2))]. 1367 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1363(a,1),217(a,1,1))]. 1369 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1364(a,1),367(a,1,2)),flip(a)]. 1370 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(105(a,1),1338(a,1,2)),flip(a)]. 1371 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(216,a,1370,a)]. 1372 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(79,a,1370,a)]. 1373 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1272(a,1),1372(a,1,1,2,1))]. 1374 T((x * (1 / y)) / x,T(y,z) / y) != u | (x * (1 / y)) / x = u. [para(1351(a,1),338(a,1,1)),flip(b)]. 1375 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(199,a,14,a(flip),b,1369,a)]. 1377 T(x,K(x \ 1,y)) = x. [hyper(78,a,1375,a)]. 1378 T(1 / x,K(x,y)) = 1 / x. [para(63(a,1),1377(a,1,2,1))]. 1380 x * K(x \ 1,y) != z | K(x \ 1,y) * x = z. [para(1377(a,1),217(a,1,1))]. 1381 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1378(a,1),658(a,1,1)),flip(a)]. 1382 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(199,a,314,a(flip),b,1381,a)]. 1383 T(x / y,K(y / x,z)) = x / y. [para(11(a,1),1382(a,1,1,1))]. 1384 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1383(a,1),167(a,1,1)),flip(a)]. 1385 T(x \ y,K(x / y,z)) = x \ y. [hyper(199,a,107,a(flip),b,1384,a)]. 1386 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1302(a,1,1))]. 1387 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(105(a,1),1303(a,1,1)),flip(a)]. 1388 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(783(a,1),1303(a,1,1)),flip(a)]. 1389 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(784(a,1),1303(a,1,1))]. 1390 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(199,a,1328,a,b,1305,a(flip)),flip(a)]. 1391 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1305(a,1,2,2,1,2,2))]. 1392 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1305(a,1,2,2,1,2,2)),flip(a)]. 1393 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(94(a,2),1305(a,1,2,2,1,2)),flip(a)]. 1394 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1336,a,1326,a),flip(a)]. 1395 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(105(a,1),1392(a,1,1)),flip(a)]. 1396 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1392(a,1),255(a,1,2))]. 1397 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(799(a,1),1392(a,1,1)),flip(a)]. 1398 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(997(a,2),1392(a,1,1))]. 1399 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(199,a,784,a,b,1395,a(flip)),flip(a)]. 1400 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(52(a,1),1395(a,1,2,2,1,2)),flip(a)]. 1401 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(799(a,1),1395(a,1,2)),flip(a)]. 1402 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(851(a,1),1395(a,1,2)),flip(a)]. 1403 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1043(a,2),1395(a,1,2)),flip(a)]. 1404 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(146(a,2),1400(a,1,1,1,2))]. 1405 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(57(a,1),1403(a,1,1,1,2)),flip(a)]. 1407 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(172(a,2),1405(a,2,1))]. 1408 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1407(a,1,2,2)),flip(a)]. 1409 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(32(a,2),1407(a,1,2,2))]. 1410 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1408(a,1),19(a,1)),flip(a)]. 1411 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1408(a,1),270(a,1))]. 1412 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1408(a,1),161(a,1,2))]. 1413 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(52(a,1),1398(a,2,2,2,1,2))]. 1415 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(242(a,1),1413(a,2,2))]. 1416 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(15(a,1),1415(a,1,1,1))]. 1417 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(632(a,1),1415(a,1,1,1))]. 1418 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(268,a,1416,a),flip(a)]. 1420 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(723,a,1418,a(flip)),flip(a)]. 1421 (x * (y \ 1)) / K(y \ 1,y) = R(x,y \ 1,y) / y. [hyper(79,a,1420,a),flip(a)]. 1422 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [para(1421(a,1),16(a,1,1))]. 1423 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1422(a,1),262(a,1,1)),flip(b)]. 1424 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(69,a,518,a(flip),b,732,a)]. 1425 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),1424(a,1,1,1)),flip(a)]. 1426 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(765(a,1),387(a,1,2)),flip(a)]. 1427 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(306(a,1),1009(a,1,1)),flip(a)]. 1428 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(13(a,1),1427(a,1,2)),flip(a)]. 1429 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1427(a,1),14(a,1,2))]. 1430 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(154,a,1429,a,b,14,a)]. 1432 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(13(a,1),1428(a,1,1)),flip(a)]. 1433 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1432(a,1),14(a,1,2))]. 1434 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(306(a,1),1040(a,1,2))]. 1435 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1434(a,1),60(a,1,2))]. 1436 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1205(a,2,1))]. 1437 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1436(a,1),366(a,1,1)),flip(a)]. 1438 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,164,a,b,1437,a),flip(a)]. 1439 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(199,a,677,a(flip),b,1284,a(flip))]. 1440 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(60(a,1),1439(a,1,2)),flip(a)]. 1441 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(521,a,1440,a),flip(a)]. 1443 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1441(a,1),14(a,1,2))]. 1444 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(154,a,1443,a,b,14,a)]. 1446 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(368(a,1),1342(a,1,2)),flip(a)]. 1447 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(368(a,1),1446(a,1,2)),flip(a)]. 1448 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1447(a,1),46(a,1,1)),flip(a)]. 1449 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(14(a,1),674(a,2,1,1,2))]. 1450 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(199,a,365,a(flip),b,1449,a)]. 1451 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(15(a,1),1450(a,1,1,1,2))]. 1452 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(172(a,2),887(a,1,1))]. 1453 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(761,a,891,a),flip(a)]. 1454 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(741,a,891,a)]. 1455 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(532(a,1),1453(a,1,1))]. 1456 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(495,a,1455,a)]. 1457 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(490,a,1455,a),flip(a)]. 1458 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(487,a,1455,a)]. 1459 ((1 / L(x,y,z)) * x) * L(x,y,z) = x. [hyper(135,a,1455,a),flip(a)]. 1460 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(73,a,1455,a)]. 1461 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(69,a,81,a(flip),b,1455,a)]. 1462 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(69,a,61,a(flip),b,1455,a),flip(a)]. 1463 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(68,a,81,a(flip),b,1455,a)]. 1464 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1455(a,1),260(a,1,1))]. 1465 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(154,a,1457,a,b,14,a)]. 1467 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(79,a,1462,a)]. 1468 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1462(a,1),94(a,2,1))]. 1469 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(1462(a,1),622(a,1,2))]. 1470 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1456(a,1),261(a,1,2)),flip(b)]. 1471 ((x * L(y,z,u)) / L(y,z,u)) * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). [para(1460(a,1),1303(a,1,1,2,1)),flip(a)]. 1472 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(92(a,1),1461(a,1,1)),flip(a)]. 1473 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1465(a,1),167(a,1,1))]. 1474 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(73,a,1472,a),flip(a)]. 1475 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(69,a,420,a(flip),b,1472,a)]. 1476 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1472(a,1),155(a,2)),flip(a)]. 1477 ((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(101(a,1),913(a,1,2))]. 1478 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(772,a,961,a)]. 1479 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1259(a,1),1478(a,1,1))]. 1480 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(79,a,1479,a)]. 1482 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(150(a,1),1479(a,1,1,2)),flip(a)]. 1483 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(63(a,1),1480(a,1,1,2,2)),flip(a)]. 1484 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1480(a,1),865(a,1,3)),flip(a)]. 1485 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1482(a,1),1246(a,1,1,2,1))]. 1486 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(63(a,1),1033(a,1,2)),flip(a)]. 1487 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1486(a,2,1,1))]. 1488 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(73,a,1064,a)]. 1489 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(73,a,1066,a)]. 1490 x * R(x \ (y * x),z,u) = y * (R(y,z,u) * (y \ x)). [para(542(a,1),1066(a,1,2)),flip(a)]. 1491 x * R(T(y,x),z,u) = y * (R(y,z,u) * (y \ x)). [para(32(a,2),1490(a,1,2,1))]. 1492 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [hyper(812,a,1491,a),flip(a)]. 1493 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(670,a,1491,a)]. 1494 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(543,a,1491,a)]. 1495 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(332,a,1491,a),flip(a)]. 1496 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [para(1493(a,1),107(a,1,1)),flip(a)]. 1497 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1493(a,1),253(a,1,1)),flip(b)]. 1498 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(271(a,1),1494(a,1,2)),flip(a)]. 1499 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(13(a,1),1495(a,1,2,2)),flip(a)]. 1500 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(32(a,2),1495(a,1,2,2))]. 1501 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(73,a,1499,a)]. 1502 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(68,a,80,a(flip),b,1499,a)]. 1503 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(68,a,55,a(flip),b,1499,a),flip(a)]. 1504 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1499(a,1),161(a,1,2))]. 1505 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(216,a,1503,a)]. 1506 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1503(a,1),176(a,1,2)),flip(a)]. 1507 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1503(a,1),842(a,1,2,1,2))]. 1508 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(79,a,1492,a),flip(a)]. 1509 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(154,a,101,a(flip),b,1500,a),flip(a)]. 1510 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(73,a,1509,a)]. 1511 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1447(a,1),1509(a,1,1))]. 1512 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(600(a,1),1498(a,1,1)),flip(a)]. 1513 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1067(a,2,1,1,1))]. 1514 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(199,a,539,a(flip),b,1513,a)]. 1515 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(539(a,1),1514(a,1,1))]. 1516 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(79,a,1515,a),flip(a)]. 1517 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),1516(a,1,1)),flip(a)]. 1518 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(199,a,397,a(flip),b,1071,a)]. 1519 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(105(a,1),1518(a,1,1,1,1,2))]. 1520 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(165(a,1),1519(a,2,2))]. 1521 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(199,a,971,a(flip),b,1072,a(flip))]. 1522 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(68,a,971,a(flip),b,1072,a(flip))]. 1523 (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),1072(a,1,1))]. 1525 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(69,a,1522,a(flip),b,847,a)]. 1526 (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(1270(a,1),1525(a,1,1,2,1))]. 1527 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(73,a,1077,a)]. 1528 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1104(a,1),1207(a,1,2))]. 1529 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(60(a,1),1253(a,1,1,1)),flip(a)]. 1530 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1288(a,1),346(a,1))]. 1531 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(199,a,165,a(flip),b,1289,a)]. 1532 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(932(a,1),1531(a,1,2,1,2))]. 1533 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(631(a,1),1306(a,1,1))]. 1534 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(531(a,1),1454(a,2,1))]. 1535 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1488(a,1,2,2,1,2)),flip(a)]. 1536 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(14(a,1),1488(a,1,2,2,1,2)),flip(a)]. 1537 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(28(a,2),1535(a,1,1)),flip(a)]. 1538 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1489(a,1,2,2,1,2)),flip(a)]. 1539 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(255,a,1504,a),flip(a)]. 1540 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(167(a,1),1511(a,1,2))]. 1541 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(199,a,1335,a(flip),b,1540,a)]. 1542 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1527(a,1,2,2,1))]. 1543 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(379,a,1542,a)]. 1544 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1542(a,1),379(a,1))]. 1545 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(199,a,1263,a(flip),b,1543,a)]. 1546 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(60(a,1),1543(a,1,2,1)),flip(a)]. 1547 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(859(a,1),1543(a,1,2)),flip(a)]. 1548 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1467(a,1),1543(a,1,2)),flip(a)]. 1549 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1543(a,2),1521(a,1,2))]. 1550 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(932(a,1),1545(a,2,2,1))]. 1551 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(1270(a,1),1545(a,2,2,1))]. 1552 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(60(a,1),1549(a,1,2,2,1)),flip(a)]. 1553 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(100(a,2),1552(a,1,2))]. 1554 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1553(a,2,2,2))]. 1555 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1554(a,1),925(a,1,2,1)),flip(a)]. 1556 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1554(a,1),1555(a,1,1)),flip(a)]. 1557 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(12(a,1),1556(a,1,2)),flip(a)]. 1558 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(154,a,1557,a,b,204,a(flip))]. 1559 K(x,y) / (x \ 1) = x * K(x,y). [hyper(69,a,13,a(flip),b,1557,a)]. 1561 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(199,a,889,a(flip),b,1534,a(flip)),flip(a)]. 1562 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(199,a,778,a(flip),b,1534,a(flip))]. 1563 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(154,a,1534,a(flip),b,889,a(flip)),flip(a)]. 1564 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),1534(a,1,2,1,2))]. 1566 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1563(a,1,2,1,2)),flip(a)]. 1567 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(68,a,1566,a,b,xx)]. 1568 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1567(a,1,2,1,2,1)),flip(a)]. 1570 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1319(a,1),1568(a,1,1)),flip(a)]. 1571 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(199,a,1327,a(flip),b,1570,a(flip))]. 1572 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(199,a,889,a(flip),b,1564,a(flip)),flip(a)]. 1573 T(x,x * L(x \ 1,y,z)) = x. [hyper(154,a,778,a(flip),b,1564,a(flip))]. 1574 K(x,x * L(x \ 1,y,z)) = 1. [hyper(36,a,1573,a)]. 1575 T(x,x * ((y * x) \ y)) = x. [para(145(a,1),1573(a,1,2,2))]. 1576 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(306(a,1),1573(a,1,2,2))]. 1577 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(533(a,1),1573(a,1,2))]. 1578 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1001(a,1),1573(a,1,2))]. 1579 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1487(a,1),1573(a,1,2))]. 1580 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(856(a,1),1575(a,1,2,2,1))]. 1581 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1579(a,1),373(a,1,1,2)),flip(a)]. 1582 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(63(a,1),1576(a,1,2,2))]. 1583 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1576(a,1),612(a,1,2)),flip(a)]. 1584 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1577(a,1),688(a,1,1))]. 1585 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(35,a,1582,a)]. 1586 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(35,a,1580,a)]. 1587 T((x * (1 / y)) / x,L(y,z,u) / y) != w | (x * (1 / y)) / x = w. [para(1581(a,1),338(a,1,1)),flip(b)]. 1588 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(18,a,729,a,b,1583,a)]. 1589 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(32(a,2),1536(a,1,1))]. 1590 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(16(a,1),1561(a,1,2,2,1,2,2)),flip(a)]. 1591 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1590(a,1),255(a,1,2))]. 1592 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(199,a,24,a,b,418,a),flip(a)]. 1593 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(199,a,1025,a(flip),b,668,a(flip)),flip(a)]. 1594 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(T(y,K(x \ 1,x)),x \ 1,x). [para(172(a,2),814(a,2,1,2))]. 1595 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(771(a,1),834(a,1,1))]. 1596 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(704(a,1),1595(a,1,1,1,2)),flip(a)]. 1597 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(329(a,1),986(a,1,2))]. 1598 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(42(a,2),1597(a,1,1,1))]. 1599 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(423(a,1),1598(a,1,1))]. 1600 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1599(a,1),38(a,1,1)),flip(a)]. 1601 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(840(a,1),1600(a,1,1))]. 1602 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1601(a,1,1)),flip(a)]. 1603 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(443(a,1),1602(a,2,2))]. 1604 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1603(a,1,1))]. 1605 T(x,x * (y \ 1)) = T(x,y \ x). [para(107(a,1),1604(a,1,2)),flip(a)]. 1606 T(x,(1 / y) \ x) = T(x,x * y). [para(63(a,1),1605(a,1,2,2)),flip(a)]. 1607 T(x,x / (1 / y)) = T(x,x * y). [hyper(199,a,1157,a,b,1606,a(flip)),flip(a)]. 1608 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(1607(a,1),1293(a,1,1))]. 1609 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(199,a,1121,a(flip),b,1608,a)]. 1610 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(1609(a,1),165(a,1,2))]. 1611 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(1609(a,1),918(a,1,2)),flip(a)]. 1612 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,366,a,b,1611,a),flip(a)]. 1613 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(1164(a,1),1612(a,1,1))]. 1614 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(173(a,1),1373(a,1,1))]. 1615 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(402(a,1),1593(a,1,2,2)),flip(a)]. 1616 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1131(a,1),1054(a,1,2,1))]. 1617 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1616(a,1),14(a,1,2))]. 1618 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(199,a,1218,a(flip),b,1617,a(flip))]. 1619 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(1130(a,1),1618(a,1,1)),flip(a)]. 1620 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(199,a,1143,a(flip),b,1619,a(flip))]. 1621 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(199,a,574,a(flip),b,1620,a(flip))]. 1622 K(x,T(y,y * x)) = K(x,y). [hyper(199,a,574,a(flip),b,1621,a(flip))]. 1624 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1605(a,1),1622(a,1,2))]. 1625 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(1168(a,1),1624(a,1,2))]. 1626 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(154,a,1297,a(flip),b,1079,a(flip)),flip(a)]. 1627 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(976(a,1),1079(a,2,2))]. 1628 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(26(a,2),1627(a,1,2,1)),flip(a)]. 1629 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1576(a,1),1226(a,2,2,2))]. 1630 (x * y) * z != x * T(y,(x * y) \ x) | K(((x * y) \ x) \ 1,(x * y) \ x) = z. [para(1232(a,1),19(a,1)),flip(a)]. 1631 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(105(a,1),1397(a,1,2)),flip(a)]. 1632 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1044(a,2),1397(a,1,2)),flip(a)]. 1633 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1320,a,1631,a)]. 1634 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(64(a,1),1633(a,1,1))]. 1635 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),1634(a,2,2,1,2)),flip(a)]. 1636 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(86(a,1),1635(a,1,2,1)),flip(a)]. 1637 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1635(a,1),377(a,1,2))]. 1638 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(73,a,1426,a)]. 1639 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1543(a,2),1426(a,1,2))]. 1640 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(12(a,1),1639(a,2,2,1,2,2))]. 1641 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),1640(a,1,2,2,1,2)),flip(a)]. 1642 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(14(a,1),1512(a,1,2,1)),flip(a)]. 1644 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(14(a,1),1532(a,1,2,1)),flip(a)]. 1645 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(778(a,1),1562(a,1,1))]. 1646 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(69,a,81,a(flip),b,1645,a)]. 1647 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(303(a,1),1645(a,1,1,2,2)),flip(a)]. 1648 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(303(a,1),1647(a,1,2,2)),flip(a)]. 1649 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(199,a,208,a(flip),b,1629,a)]. 1651 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1649(a,1),1000(a,1,1)),flip(a)]. 1652 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(199,a,1430,a(flip),b,1651,a(flip)),flip(a)]. 1653 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(346,a,1652,a)]. 1654 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1652(a,1,1,2))]. 1655 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1653(a,1,3))]. 1656 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1653(a,1),1535(a,1,2)),flip(a)]. 1657 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1654(a,2,2))]. 1658 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1657(a,1),14(a,1,2))]. 1659 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1657(a,1),60(a,1,2))]. 1660 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(145(a,2),1658(a,1,1,1)),flip(a)]. 1661 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1659(a,1),1055(a,2,1,1,2)),flip(a)]. 1662 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(506,a,1660,a)]. 1663 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(641,a,1655,a)]. 1664 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(57(a,1),1632(a,1,1,2,1,2)),flip(a)]. 1665 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(12(a,1),1664(a,2,1,2,1))]. 1667 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(67,a,14,a(flip),b,1665,a),flip(a)]. 1668 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [para(12(a,1),1638(a,1,2,2,1,2,2)),flip(a)]. 1669 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(708,a,731,a),flip(a)]. 1670 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(539(a,1),1669(a,2,1))]. 1671 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(199,a,887,a(flip),b,1670,a(flip)),flip(a)]. 1672 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(154,a,1670,a(flip),b,1066,a),flip(a)]. 1673 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(154,a,1670,a(flip),b,887,a(flip)),flip(a)]. 1674 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(68,a,1670,a(flip),b,1066,a),flip(a)]. 1675 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),1670(a,1,2,1,2))]. 1676 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1670(a,1,2,1)),flip(a)]. 1679 (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(609(a,1),1670(a,1,2,1)),flip(a)]. 1680 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1676(a,1,1,2,1))]. 1681 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(495,a,1680,a)]. 1682 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(490,a,1680,a),flip(a)]. 1683 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(73,a,1680,a)]. 1684 (x / R(x,y,z)) / x = 1 / R(x,y,z). [hyper(79,a,1682,a)]. 1685 (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. [para(1684(a,1),207(a,1,1)),flip(b)]. 1686 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1681(a,1),261(a,1,2)),flip(b)]. 1687 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1683(a,1),915(a,1,1)),flip(a)]. 1688 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(796,a,1687,a)]. 1689 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1687(a,1),165(a,1,2)),flip(a)]. 1690 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1687(a,1),535(a,1,2))]. 1691 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(69,a,54,a(flip),b,1690,a)]. 1693 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(987(a,1),1690(a,1,1)),flip(a)]. 1694 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(591,a,1691,a)]. 1695 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1673(a,1,2,1,2)),flip(a)]. 1696 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(68,a,1695,a,b,xx)]. 1697 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(131(a,1),1695(a,2,2,1,2))]. 1698 T(x,x * R(x \ 1,y,z)) = x. [hyper(35,a,1697,a)]. 1699 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1697(a,1),1325(a,2,2,1))]. 1700 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(63(a,1),1698(a,1,2,2,1))]. 1701 T(x,(y / (x * y)) * x) = x. [para(552(a,2),1698(a,1,2))]. 1702 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(542(a,1),1698(a,1,2))]. 1703 T(x / y,(y / x) * (x / y)) = x / y. [para(677(a,1),1698(a,1,2))]. 1704 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1269(a,1),1698(a,1,2))]. 1705 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1701(a,1),975(a,1,1,1)),flip(a)]. 1706 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(35,a,1704,a)]. 1707 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1704(a,1),38(a,1,1)),flip(a)]. 1708 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(15(a,1),1703(a,1,2,1))]. 1709 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1700(a,1),615(a,1,1,2))]. 1710 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1702(a,1),688(a,1,1))]. 1711 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1708(a,1),688(a,1,1))]. 1712 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1710(a,1),1510(a,1,1))]. 1713 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(199,a,547,a(flip),b,1711,a)]. 1714 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1713(a,1),1510(a,1,1))]. 1717 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(199,a,887,a(flip),b,1675,a(flip)),flip(a)]. 1719 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(199,a,107,a(flip),b,1688,a)]. 1720 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [para(1719(a,1),14(a,1,2))]. 1721 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [hyper(69,a,11,a(flip),b,1720,a)]. 1722 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(314(a,1),1721(a,1,1)),flip(a)]. 1723 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(13(a,1),1717(a,1,2,2,1,2))]. 1724 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(314(a,1),1722(a,1,2)),flip(a)]. 1725 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1724(a,1),16(a,1,1))]. 1726 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(60(a,1),1724(a,1,1)),flip(a)]. 1727 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(60(a,1),1724(a,1,2,1)),flip(a)]. 1729 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(60(a,1),1726(a,1,2)),flip(a)]. 1730 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1729(a,1),1425(a,1,2,1,2))]. 1731 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(521,a,1727,a),flip(a)]. 1733 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1731(a,1),16(a,1,1))]. 1734 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(199,a,313,a,b,1733,a)]. 1735 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(547(a,1),1705(a,1,2))]. 1736 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1709(a,1),1277(a,1,1))]. 1737 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(742,a,1736,a)]. 1738 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1672(a,1,1))]. 1739 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1738(a,1,2,1,1))]. 1740 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(13(a,1),1739(a,2,1,2,1))]. 1741 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(546(a,1),1699(a,2,2))]. 1742 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(546(a,1),1741(a,1,1,2))]. 1743 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(146(a,1),1742(a,1,1,2))]. 1744 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(146(a,1),1743(a,2,2))]. 1745 T(x,x * (y / (x * y))) = x. [hyper(35,a,1744,a)]. 1746 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(199,a,1735,a,b,1744,a(flip)),flip(a)]. 1747 T(x,x * ((x \ y) / y)) = x. [para(14(a,1),1745(a,1,2,2,2))]. 1748 T(x / y,(x / y) * (y / x)) = x / y. [para(16(a,1),1745(a,1,2,2,2))]. 1749 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1747(a,1),231(a,1,1)),flip(a)]. 1750 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(15(a,1),1748(a,1,2,2))]. 1751 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1748(a,1),167(a,1,1)),flip(a)]. 1752 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(199,a,107,a(flip),b,1751,a)]. 1753 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1752(a,1),1242(a,2,1,2))]. 1754 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1749(a,1),1242(a,2,1,2))]. 1755 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(35,a,1750,a)]. 1756 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1675(a,1),1723(a,1,2)),flip(a)]. 1757 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1269(a,1),1756(a,1,1)),flip(a)]. 1758 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(14(a,1),1753(a,2,1))]. 1759 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(199,a,57,a(flip),b,1758,a)]. 1761 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(397(a,1),748(a,1,1)),flip(a)]. 1762 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(1374,a,864,a)]. 1764 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1762(a,1),583(a,1,1))]. 1765 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(742,a,1764,a),flip(a)]. 1766 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1765(a,1),1547(a,1,2))]. 1767 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(306(a,1),1007(a,1,2,2))]. 1768 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(1767(a,1),14(a,1,2))]. 1769 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1768(a,1),752(a,1,2,1))]. 1770 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1768(a,1),1543(a,2,2,1)),flip(a)]. 1771 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(199,a,396,a(flip),b,1135,a)]. 1772 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1771(a,1),1259(a,1,1)),flip(a)]. 1773 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1771(a,1),1295(a,1,2)),flip(a)]. 1774 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1412(a,1),255(a,1))]. 1775 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(199,a,1482,a(flip),b,1485,a)]. 1776 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(1755(a,1),1714(a,1,2))]. 1777 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(678,a,1776,a)]. 1778 (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(1777(a,1),159(a,1,2,1))]. 1779 (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(1193(a,1),528(a,1,1))]. 1780 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(105(a,1),787(a,1,2,1,1)),flip(a)]. 1781 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(154,a,1675,a(flip),b,1780,a),flip(a)]. 1782 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(553,a,1781,a),flip(a)]. 1783 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1578(a,1),1781(a,1,2,1,1)),flip(a)]. 1784 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(847(a,1),1782(a,2,1,2))]. 1785 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1359(a,1),1784(a,1,1,2)),flip(a)]. 1786 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | (x \ 1) / (x \ T(x,y)) = z. [para(1785(a,1),20(a,1))]. 1787 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(16(a,1),892(a,2,2))]. 1788 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(199,a,531,a(flip),b,1787,a)]. 1789 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(531(a,1),1788(a,1,1))]. 1790 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(79,a,1789,a)]. 1791 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(11(a,1),1790(a,1,1,2,1,2)),flip(a)]. 1792 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),1791(a,1,1)),flip(a)]. 1793 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(115(a,1),900(a,1,1,1,1)),flip(a)]. 1794 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(912,a,1793,a)]. 1795 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(63(a,1),1794(a,1,2,1,1))]. 1796 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [para(113(a,1),1075(a,1,2,1,2))]. 1797 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(12(a,1),1796(a,1,2,1,2))]. 1799 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(199,a,1483,a(flip),b,1797,a(flip)),flip(a)]. 1800 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1799(a,1),16(a,1,1))]. 1801 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(932(a,1),1800(a,1,1,2,1))]. 1802 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1522(a,2),1800(a,1,1)),flip(a)]. 1803 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(449(a,1),1801(a,2,2))]. 1804 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),1803(a,2,2,1))]. 1805 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(375(a,1),1264(a,1,1)),flip(a)]. 1806 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1386(a,1,2,1,1)),flip(a)]. 1807 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(784(a,1),1806(a,1,2))]. 1808 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1396,a,1807,a),flip(a)]. 1809 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),1808(a,1,2,1,2)),flip(a)]. 1810 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(150(a,1),1809(a,1,1,2,1,2)),flip(a)]. 1811 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(131(a,1),1810(a,1,2,1,2))]. 1812 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1053,a,1811,a),flip(a)]. 1813 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(215,a,1811,a),flip(a)]. 1814 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(73,a,1811,a)]. 1815 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1812(a,1),105(a,1,2)),flip(a)]. 1816 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(181(a,1),1812(a,2,1,2))]. 1817 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(242(a,1),1812(a,1,1)),flip(a)]. 1818 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1217(a,2),1812(a,1,1)),flip(a)]. 1819 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(1196(a,2),1816(a,1,2))]. 1820 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(306(a,1),1818(a,1,1,2,2,1))]. 1821 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(106(a,1),1820(a,1,1,2,2)),flip(a)]. 1822 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(1786,a,1813,a)]. 1823 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1822(a,1),107(a,1,1))]. 1825 T(x,y) * T(T(x,y) \ 1,z) != u | T(x * T(x \ 1,z),y) = u. [para(1814(a,1),211(a,1,2)),flip(b)]. 1826 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1344(a,1),1814(a,1,2,1,2)),flip(a)]. 1827 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(14(a,1),1826(a,2,2,1))]. 1829 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(131(a,1),1827(a,2,2))]. 1830 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(199,a,1823,a(flip),b,1829,a(flip)),flip(a)]. 1832 T(T(x,y) \ 1,x \ T(x,z)) != u | T(x,y) \ 1 = u. [para(1829(a,1),338(a,1,1)),flip(b)]. 1834 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(638(a,1),1830(a,1,1))]. 1835 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(1830(a,1),1667(a,1,2,2))]. 1836 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(73,a,1835,a),flip(a)]. 1837 (x \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. [para(1823(a,1),1832(a,1))]. 1838 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(63(a,1),1834(a,1,2))]. 1839 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(1838(a,1),60(a,1,2))]. 1840 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1047(a,2),1838(a,1,1))]. 1841 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),1507(a,1,2,1)),flip(a)]. 1842 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(107(a,1),1841(a,1,1)),flip(a)]. 1843 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(107(a,1),1842(a,1,2)),flip(a)]. 1844 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),1843(a,1,1)),flip(a)]. 1845 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),1844(a,1,2)),flip(a)]. 1846 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(243(a,1),1596(a,1,2,1,2)),flip(a)]. 1847 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(150(a,1),1846(a,1,1)),flip(a)]. 1848 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(150(a,1),1847(a,1,2)),flip(a)]. 1849 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(1848(a,1),1550(a,1,2,1)),flip(a)]. 1850 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(15(a,1),1849(a,2,2))]. 1851 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(1850(a,1),14(a,1,2))]. 1854 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1661(a,1,1,1))]. 1855 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(154,a,1854,a,b,14,a),flip(a)]. 1858 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(542(a,1),1674(a,2,2,1))]. 1859 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(152(a,1),1754(a,2,1))]. 1860 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(199,a,57,a(flip),b,1859,a)]. 1862 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1860(a,1),1000(a,1,1)),flip(a)]. 1863 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(199,a,1444,a(flip),b,1862,a(flip)),flip(a)]. 1864 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(63(a,1),1863(a,1,1,2,1))]. 1865 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(63(a,1),1864(a,2,2,1))]. 1866 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(1865(a,1),14(a,1,2))]. 1867 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1865(a,1),1759(a,1,1))]. 1868 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(15(a,1),1867(a,1,1,2))]. 1869 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(69,a,15,a(flip),b,1866,a),flip(a)]. 1870 K(1 / x,(y / (x * y)) * x) = 1. [para(15(a,1),1868(a,1,2,2))]. 1871 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(37,a,1870,a)]. 1872 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1530,a,1871,a)]. 1873 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(146(a,2),1872(a,1,3))]. 1874 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1872(a,1),305(a,1,2))]. 1875 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1873(a,1),311(a,1,2))]. 1876 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1017,a,1875,a)]. 1877 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),1869(a,1,1)),flip(a)]. 1878 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1877(a,1),1056(a,1,1,2))]. 1879 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(199,a,574,a(flip),b,1878,a(flip))]. 1881 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(1879(a,1),16(a,1,1))]. 1883 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(772,a,797,a),flip(a)]. 1884 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),1883(a,1,2,1,2,2)),flip(a)]. 1885 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(751(a,1),1883(a,2,1))]. 1886 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(268,a,1884,a),flip(a)]. 1887 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1884(a,1),268(a,1))]. 1888 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(199,a,1074,a(flip),b,1886,a(flip)),flip(a)]. 1889 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(199,a,971,a(flip),b,1886,a(flip))]. 1890 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(154,a,1889,a,b,14,a),flip(a)]. 1892 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(444(a,2),1888(a,2,1,2,1)),flip(a)]. 1893 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(971(a,1),1887(a,1))]. 1895 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(268,a,1885,a),flip(a)]. 1896 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(154,a,1885,a(flip),b,1426,a),flip(a)]. 1897 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(11(a,1),1885(a,1,2,1,2,2))]. 1899 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(199,a,1073,a(flip),b,1897,a(flip)),flip(a)]. 1900 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(199,a,1072,a(flip),b,1897,a(flip))]. 1901 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(154,a,1897,a(flip),b,1641,a(flip))]. 1903 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1897(a,1),1888(a,1,2)),flip(a)]. 1904 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(199,a,1543,a(flip),b,1901,a),flip(a)]. 1905 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(1522(a,2),1901(a,1,1))]. 1906 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1546(a,1),1901(a,1,1)),flip(a)]. 1907 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1385(a,1),1906(a,1,2,1,2)),flip(a)]. 1908 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(60(a,1),1907(a,2,2,1))]. 1909 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(15(a,1),1908(a,1,1,2))]. 1910 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(15(a,1),1909(a,1,2,1))]. 1911 T(K(x,y),K(y,z)) = K(x,y). [para(15(a,1),1910(a,2,2))]. 1912 K(K(x,y),K(y,z)) = 1. [hyper(36,a,1911,a)]. 1913 T(K(x,y),K(z,x)) = K(x,y). [hyper(35,a,1911,a)]. 1914 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1911(a,1),105(a,1,2))]. 1915 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1911(a,1),215(a,1,2))]. 1916 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1911(a,1),217(a,1,1))]. 1918 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1911(a,1),164(a,1,2,1)),flip(a)]. 1919 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(1911(a,1),165(a,1,2,1)),flip(a)]. 1920 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(1911(a,1),331(a,1,2,1))]. 1922 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(1913(a,1),338(a,1,1)),flip(b)]. 1925 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1294(a,1),1900(a,1,1)),flip(a)]. 1926 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(14(a,1),1904(a,1,2,1)),flip(a)]. 1927 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),1904(a,2,1,2,1))]. 1928 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(932(a,1),1927(a,1,2,1))]. 1930 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),1896(a,1,1))]. 1931 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),1930(a,1,2,1,2,1))]. 1932 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1897(a,1),1899(a,1,2)),flip(a)]. 1933 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1543(a,2),1932(a,1,1))]. 1934 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1294(a,1),1925(a,1,2)),flip(a)]. 1935 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(79,a,1934,a)]. 1936 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1935(a,1),769(a,1,1))]. 1937 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(199,a,441,a(flip),b,1936,a(flip))]. 1938 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1937(a,1),583(a,1,1))]. 1939 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(337,a,1938,a),flip(a)]. 1940 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(199,a,26,a,b,1939,a),flip(a)]. 1941 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),1940(a,2,1,2)),flip(a)]. 1942 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(1941(a,1),16(a,1,1))]. 1943 (x \ 1) / (1 / x) = K(x \ 1,x). [para(666(a,1),1941(a,1,1))]. 1944 x / (1 / (1 / x)) = K(x,1 / x). [para(758(a,1),1941(a,1,1))]. 1945 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(199,a,172,a(flip),b,1943,a)]. 1946 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(199,a,1181,a(flip),b,1943,a(flip)),flip(a)]. 1947 K(x \ 1,x) * (1 / x) = x \ 1. [para(1943(a,1),16(a,1,1))]. 1948 K(x,1 / x) * (1 / (1 / x)) = x. [para(1944(a,1),16(a,1,1))]. 1949 T(1 / (1 / x),x \ 1) = x. [hyper(1182,a,1945,a)]. 1950 ((x \ 1) * x) \ (x \ 1) = 1 / x. [para(1945(a,1),63(a,1,1))]. 1952 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1949(a,1),38(a,1,1)),flip(a)]. 1953 T(x,x \ 1) / x = K(x,x \ 1). [para(1949(a,1),1186(a,1,1)),flip(a)]. 1954 x * K(x \ 1,x) = 1 / (1 / x). [para(1946(a,1),14(a,1,2))]. 1955 x * (T(x,y) \ K(x \ 1,x)) != z | T(x,y) \ (1 / (1 / x)) = z. [para(1946(a,1),972(a,1,2,2))]. 1956 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1947(a,1),92(a,1,1))]. 1957 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1947(a,1),508(a,1,1))]. 1958 L(x,1 / x,x) = 1 / (1 / x). [hyper(523,a,1948,a)]. 1959 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1958(a,1),40(a,2,1))]. 1960 L(x \ 1,x,x \ 1) = 1 / x. [hyper(346,a,1950,a)]. 1961 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1960(a,1),1304(a,1,1,2)),flip(a)]. 1962 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1960(a,1),1572(a,2,1,2))]. 1963 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1960(a,1),888(a,1,2,1))]. 1964 K(x,x \ 1) * x = T(x,x \ 1). [para(1953(a,1),16(a,1,1))]. 1966 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(106(a,1),1953(a,1,1))]. 1967 K(x \ 1,x) * x = 1 / (1 / x). [hyper(1380,a,1954,a)]. 1968 L(x,x \ 1,x) = 1 / (1 / x). [hyper(728,a,1954,a)]. 1970 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1954(a,1),1360(a,1,1))]. 1971 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1968(a,1),40(a,2,1))]. 1972 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1968(a,1),44(a,1,1)),flip(a)]. 1973 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(1968(a,1),721(a,1))]. 1974 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(199,a,106,a(flip),b,1964,a)]. 1976 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1964(a,1),92(a,1,1))]. 1978 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1964(a,1),391(a,1,1))]. 1981 T(1 / x,K(y,x)) = 1 / x. [hyper(188,a,1942,a)]. 1982 K(1 / x,K(y,x)) = 1. [hyper(67,a,1942,a,b,85,a),flip(a)]. 1983 K(x,K(y,x \ 1)) = 1. [para(60(a,1),1982(a,1,1))]. 1984 T(x,K(y,x \ 1)) = x. [hyper(37,a,1983,a)]. 1985 K(x,y \ 1) * y = y * K(x,y \ 1). [para(1984(a,1),105(a,1,2))]. 1986 T(x \ 1,K(y,x)) = T(1 / x,x). [para(1981(a,1),167(a,1,1)),flip(a)]. 1987 K(x,y) * L(1 / y,z,u) != w | L(1 / y,z,u) * K(x,y) = w. [para(1981(a,1),331(a,1,2,1))]. 1988 T(x \ 1,K(y,x)) = x \ 1. [hyper(199,a,107,a(flip),b,1986,a)]. 1989 ((x \ 1) * K(y,x)) / (x \ 1) != z | K(y,x) = z. [para(1988(a,1),264(a,1,2)),flip(b)]. 1990 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(1988(a,1),308(a,2,1))]. 1991 T(x,1 / x) = T(x,x \ 1). [para(171(a,1),1952(a,1,1)),flip(a)]. 1992 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1876(a,1),1952(a,1,1)),flip(a)]. 1993 T(x,1 / x) = (x \ 1) \ 1. [hyper(199,a,106,a(flip),b,1991,a)]. 1994 R(x,1 / x,x) = T(x,x \ 1). [hyper(199,a,694,a,b,1991,a(flip)),flip(a)]. 1995 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1991(a,1),373(a,1,1,2))]. 1996 T(x,x \ 1) / x = K(x,1 / x). [para(1991(a,1),696(a,1,1))]. 1997 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1993(a,1),696(a,1,1))]. 1998 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1993(a,1),901(a,1,1,1))]. 1999 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1994(a,1),46(a,1,1)),flip(a)]. 2000 K(x,1 / x) = K(x,x \ 1). [hyper(199,a,1953,a(flip),b,1996,a(flip))]. 2001 K(x,x \ 1) = x * (1 / x). [hyper(301,a,2000,a),flip(a)]. 2002 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(199,a,1944,a,b,2000,a(flip)),flip(a)]. 2003 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(199,a,575,a,b,2000,a(flip)),flip(a)]. 2004 x \ K(x,x \ 1) = 1 / x. [hyper(68,a,2000,a(flip),b,175,a(flip))]. 2005 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(60(a,1),2000(a,1,2)),flip(a)]. 2006 K(x,x \ 1) != y | x * (1 / x) = y. [para(2000(a,1),301(a,1))]. 2007 (1 / (1 / x)) * K(x,x \ 1) = x. [para(2000(a,1),758(a,1,2))]. 2008 K(x,x \ 1) * (1 / (1 / x)) = x. [para(2000(a,1),1948(a,1,1))]. 2009 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(199,a,1926,a,b,2001,a),flip(a)]. 2010 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(199,a,1656,a,b,2001,a),flip(a)]. 2012 K(x,x \ 1) \ 1 = K(1 / x,x). [para(2001(a,2),89(a,1,1))]. 2013 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(2001(a,2),101(a,1,2))]. 2015 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(2001(a,2),965(a,1,2))]. 2016 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(2001(a,2),784(a,1,1))]. 2017 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(2001(a,2),1190(a,1,2))]. 2018 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(2001(a,2),1195(a,1,2))]. 2019 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(2001(a,2),1648(a,1,1,2))]. 2020 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(2001(a,2),1928(a,2,1))]. 2021 x * (1 / x) != y | K(x,x \ 1) = y. [para(2004(a,1),211(a,1,2)),flip(b)]. 2022 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(199,a,1028,a(flip),b,1997,a(flip)),flip(a)]. 2023 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(63(a,1),1997(a,1,1,1)),flip(a)]. 2024 K(x,x \ 1) \ x = 1 / (1 / x). [para(2002(a,1),63(a,1,1))]. 2025 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(2007(a,1),101(a,1,2))]. 2026 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(2007(a,1),102(a,2,2))]. 2027 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2008(a,1),92(a,1,1))]. 2028 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(2008(a,1),94(a,2,1))]. 2029 (1 / x) / K(x,1 / x) = x \ 1. [para(2022(a,1),60(a,1,2))]. 2030 R(1 / x,x,1 / x) = x \ 1. [hyper(571,a,2029,a)]. 2031 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(2030(a,1),316(a,1,1)),flip(a)]. 2032 T(x,y / (x * y)) = T(x,x \ 1). [para(146(a,1),1992(a,1,2))]. 2033 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(199,a,106,a(flip),b,2032,a)]. 2034 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2032(a,1),1244(a,2,1))]. 2035 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),2033(a,1,2,2))]. 2036 K(x,1 / x) != y | K(x,x \ 1) = y. [para(175(a,2),2021(a,1))]. 2037 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(199,a,1974,a(flip),b,1985,a(flip))]. 2038 x * K(x,x \ 1) = T(x,x \ 1). [hyper(199,a,1964,a(flip),b,1985,a(flip))]. 2039 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(68,a,1974,a(flip),b,1985,a(flip))]. 2040 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(68,a,2033,a,b,2037,a)]. 2041 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. [para(2038(a,1),391(a,1,1))]. 2042 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(2038(a,1),436(a,1,1,1))]. 2043 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(199,a,667,a,b,2039,a(flip)),flip(a)]. 2044 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2035(a,1),366(a,1,1))]. 2045 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(2043(a,1),1407(a,1,2,1))]. 2046 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(199,a,886,a,b,1959,a(flip)),flip(a)]. 2047 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1970(a,1),531(a,1,1,1)),flip(a)]. 2048 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(69,a,1971,a(flip),b,173,a)]. 2049 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(14(a,1),1990(a,1,1,1))]. 2050 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(199,a,1943,a(flip),b,2023,a)]. 2051 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(2036,a,2050,a)]. 2052 K(1 / x,x) = K(x \ 1,x). [para(63(a,1),2051(a,1,2))]. 2053 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(199,a,2012,a,b,2052,a(flip)),flip(a)]. 2054 x * K(1 / x,x) = 1 / (1 / x). [para(2052(a,2),1954(a,1,2))]. 2055 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(2031(a,1),126(a,1,1))]. 2056 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1972(a,1),1614(a,1,1))]. 2057 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(185(a,2),1989(a,1))]. 2058 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1999(a,1),605(a,1,2))]. 2059 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(578,a,1995,a),flip(a)]. 2060 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(63(a,1),1998(a,1,1,1,1)),flip(a)]. 2061 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1998(a,1),107(a,1,1))]. 2062 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(2001(a,2),2019(a,2,2))]. 2063 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(150(a,1),2059(a,1,1)),flip(a)]. 2064 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(69,a,81,a(flip),b,2062,a)]. 2065 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(2064(a,1),337(a,1,1))]. 2066 T(x \ y,K(z,y \ x)) = x \ y. [hyper(199,a,306,a(flip),b,2049,a)]. 2067 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2066(a,1),105(a,1,2))]. 2068 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1094,a,2044,a)]. 2069 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2046(a,1),14(a,1,2))]. 2070 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(150(a,1),2063(a,1,1)),flip(a)]. 2071 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(2070(a,1),1119(a,1,1))]. 2072 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(2071(a,1),1127(a,1,1,1))]. 2073 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2000(a,1),2069(a,1,1))]. 2074 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2024(a,2),2073(a,1,2,1))]. 2075 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(2001(a,2),1961(a,2,1))]. 2076 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(2075(a,1),1962(a,1,2))]. 2077 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(17,a,92,a(flip),b,2076,a)]. 2078 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(17,a,12,a(flip),b,2076,a)]. 2079 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(2001(a,2),2076(a,2,1))]. 2080 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(1367,a,2078,a)]. 2081 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(2078(a,1),456(a,1,1))]. 2082 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),2079(a,1,2,2)),flip(a)]. 2083 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(2079(a,1),19(a,1))]. 2084 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(32(a,2),2079(a,1,2,2))]. 2085 x \ (K(x,x \ 1) * y) != z | K(x,x \ 1) * (x \ y) = z. [para(2079(a,1),254(a,1,2)),flip(b)]. 2086 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(2005(a,1),2079(a,1,2,1))]. 2087 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(2051(a,1),2079(a,1,2,1))]. 2088 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(2077(a,1),19(a,1)),flip(a)]. 2089 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(836,a,2072,a)]. 2090 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2074(a,1),879(a,1,1))]. 2091 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(932(a,1),2089(a,1,2,1))]. 2092 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(2089(a,1),1521(a,1,2))]. 2093 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(2091(a,1),1804(a,1,1))]. 2094 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(207,a,2093,a)]. 2096 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(199,a,2092,a,b,2094,a(flip)),flip(a)]. 2097 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(2091(a,2),2096(a,1,2))]. 2098 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2020(a,1),2097(a,1,2))]. 2099 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2098(a,1),19(a,1))]. 2100 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(199,a,2082,a(flip),b,1976,a)]. 2101 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(2010(a,1),14(a,1,2)),flip(a)]. 2102 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(199,a,2001,a,b,2055,a)]. 2103 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1874(a,1),2102(a,1,2))]. 2104 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2103(a,1),14(a,1,2)),flip(a)]. 2106 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1987,a,1963,a)]. 2107 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1547(a,1),2009(a,1,1)),flip(a)]. 2109 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2106(a,1),1417(a,1,1))]. 2110 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(916,a,1956,a(flip))]. 2111 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(2041,a,2100,a)]. 2112 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(2051(a,1),2111(a,1,2)),flip(a)]. 2113 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(2043(a,1),2045(a,2,1))]. 2114 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(73,a,2113,a)]. 2115 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(2005(a,1),2086(a,2,1))]. 2116 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(73,a,2115,a)]. 2117 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(356(a,1),2087(a,1,2,2)),flip(a)]. 2118 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(2053(a,1),2090(a,1,2))]. 2119 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(2053(a,1),2118(a,2,1,2))]. 2120 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1954(a,1),2119(a,2,1))]. 2121 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(199,a,1645,a(flip),b,2109,a(flip)),flip(a)]. 2122 (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. [para(2109(a,1),20(a,1))]. 2123 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(172(a,2),2121(a,1,1))]. 2124 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(1957,a,2116,a)]. 2125 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(199,a,806,a(flip),b,905,a(flip))]. 2126 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2125(a,1),773(a,1,2))]. 2128 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(199,a,1195,a(flip),b,1038,a(flip)),flip(a)]. 2130 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(14(a,1),1076(a,1,2,1,2,2))]. 2131 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(199,a,396,a(flip),b,1136,a)]. 2132 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(856(a,1),2131(a,2,2))]. 2133 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2132(a,1),1261(a,1,1)),flip(a)]. 2134 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1129(a,1),1250(a,1,1))]. 2135 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(976(a,1),2134(a,1,1))]. 2136 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1247(a,1),2135(a,1,2))]. 2137 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(199,a,40,a,b,2136,a(flip)),flip(a)]. 2138 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1230(a,1),2137(a,1,1))]. 2139 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(199,a,976,a,b,2138,a(flip)),flip(a)]. 2140 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2138(a,1),1628(a,1,2))]. 2141 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(199,a,1251,a(flip),b,2139,a(flip))]. 2142 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(631(a,1),1393(a,1,1)),flip(a)]. 2143 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(199,a,432,a(flip),b,2047,a)]. 2144 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(902,a,2143,a)]. 2145 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1946(a,1),2144(a,1,2,2,1,2))]. 2146 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(247(a,1),2145(a,1,2,2,1))]. 2147 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(164(a,1),2146(a,1,2)),flip(a)]. 2148 T(x,L(x \ 1,y,z) * x) = x. [hyper(188,a,2147,a)]. 2149 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(306(a,1),2148(a,1,2,1))]. 2150 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(63(a,1),2149(a,1,2,1))]. 2151 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2150(a,1),688(a,1,1))]. 2152 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2151(a,1),1510(a,1,1))]. 2153 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1585(a,1),2152(a,1,2))]. 2154 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(336,a,2153,a)]. 2155 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1014(a,1),2154(a,1,2,1)),flip(a)]. 2156 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(167(a,1),2155(a,2,2))]. 2157 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1014(a,1),2156(a,1,2))]. 2158 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1408(a,1),2117(a,2,2))]. 2159 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(640(a,1),2128(a,1,2)),flip(a)]. 2160 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2159(a,2),2048(a,1,2))]. 2161 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(199,a,176,a(flip),b,2158,a)]. 2162 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(2051(a,1),2161(a,1,1)),flip(a)]. 2163 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(105(a,1),2162(a,1,1)),flip(a)]. 2164 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(172(a,2),1100(a,1,2,1,1))]. 2165 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1706(a,1),1329(a,1,2,1))]. 2166 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1271(a,1),2165(a,1,2)),flip(a)]. 2167 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2166(a,1),1712(a,1,2))]. 2168 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(336,a,2167,a)]. 2169 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(199,a,42,a,b,2168,a(flip)),flip(a)]. 2170 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(199,a,42,a,b,2169,a)]. 2171 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2157(a,2),2170(a,1,1))]. 2172 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1389(a,1,1,2,2,1,2)),flip(a)]. 2173 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(56(a,1),1390(a,1,1)),flip(a)]. 2174 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(105(a,1),2173(a,1,1))]. 2176 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(13(a,1),2174(a,1,1,1)),flip(a)]. 2177 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2174(a,1),20(a,1))]. 2178 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2176(a,2),20(a,1))]. 2179 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) != z | T(x,y) * ((T(x,y) / x) \ (1 / x)) = z. [para(1586(a,1),338(a,1,1)),flip(b)]. 2180 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1050(a,2),1586(a,2,2,1))]. 2181 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(32(a,2),1589(a,1,2,1,1)),flip(a)]. 2182 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(889(a,1),2181(a,1,2))]. 2183 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1591,a,2182,a),flip(a)]. 2184 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(13(a,1),2183(a,1,2,1,2)),flip(a)]. 2185 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [para(15(a,1),2184(a,1,1,2,1,2)),flip(a)]. 2186 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(150(a,1),2184(a,1,1,2,1,2)),flip(a)]. 2187 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(131(a,1),2186(a,1,2,1,2))]. 2188 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(199,a,304,a(flip),b,2187,a(flip))]. 2189 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(646(a,1),2187(a,2,1,2))]. 2190 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(409(a,1),2187(a,2,1,2))]. 2191 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(856(a,1),2188(a,2,2,1))]. 2192 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(942(a,1),2189(a,1,2))]. 2193 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(128(a,1),2192(a,2,1,2))]. 2194 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(17,a,1928,a,b,2193,a)]. 2195 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(154,a,2194,a,b,14,a),flip(a)]. 2197 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2194(a,1),945(a,1,1))]. 2198 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(337,a,2197,a),flip(a)]. 2199 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(199,a,940,a(flip),b,2198,a)]. 2200 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2198(a,2),941(a,1))]. 2201 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2195(a,1),997(a,2,2,1)),flip(a)]. 2202 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1766(a,1),2191(a,1,1)),flip(a)]. 2203 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(199,a,2107,a,b,2202,a)]. 2204 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(17,a,2001,a(flip),b,2203,a)]. 2205 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2204(a,1),14(a,1,2))]. 2206 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(181(a,1),2204(a,1,2))]. 2207 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2204(a,2),2021(a,1,2))]. 2209 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1188(a,1),2206(a,1,1))]. 2210 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(1837,a,2209,a),flip(a)]. 2211 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(106(a,1),2210(a,1,2,1))]. 2212 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(241(a,1),2210(a,1,2,1)),flip(a)]. 2213 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(2211(a,1),63(a,1,1))]. 2214 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(63(a,1),2211(a,1,2,1,1))]. 2215 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2212(a,1),60(a,1,2))]. 2216 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(63(a,1),2213(a,2,1,1))]. 2217 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2213(a,2),105(a,1,2))]. 2218 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(107(a,1),2213(a,1,1,1)),flip(a)]. 2220 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(1973,a,2215,a)]. 2221 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(107(a,1),2215(a,1,2,2)),flip(a)]. 2222 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2215(a,1),1528(a,1,1,1,2))]. 2224 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(635,a,2217,a)]. 2225 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(107(a,1),2217(a,1,2,1,1)),flip(a)]. 2226 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(448(a,1),2217(a,1,2,1,1)),flip(a)]. 2227 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(943,a,2224,a)]. 2228 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(199,a,2037,a,b,2224,a)]. 2229 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(199,a,106,a,b,2224,a)]. 2230 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(185(a,1),2224(a,1,2,1))]. 2231 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2099,a,2228,a)]. 2232 T(x,K(y,y \ 1)) = x. [hyper(35,a,2231,a)]. 2233 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(68,a,2231,a(flip),b,2020,a)]. 2234 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2231(a,1),105(a,1,2)),flip(a)]. 2236 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2231(a,1),215(a,1,2))]. 2237 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2231(a,1),217(a,1,1))]. 2239 T(x,K(y,y \ 1)) != z | z = x. [para(2232(a,1),338(a,1,1))]. 2240 T(x,K(y,1 / y)) = x. [para(2000(a,2),2232(a,1,2))]. 2241 T(x,K(y \ 1,y)) = x. [para(2005(a,1),2232(a,1,2))]. 2243 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2178,a,2240,a),flip(a)]. 2245 x * K(y,1 / y) != z | K(y,1 / y) * x = z. [para(2240(a,1),217(a,1,1))]. 2246 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2178,a,2241,a),flip(a)]. 2247 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(35,a,2241,a)]. 2249 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2241(a,1),156(a,1,2))]. 2250 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2241(a,1),215(a,1,2))]. 2251 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2241(a,1),217(a,1,1))]. 2252 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [para(2241(a,1),1594(a,2,1))]. 2253 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(199,a,1817,a,b,2247,a(flip)),flip(a)]. 2254 T((x \ 1) * x,y) = K(x \ 1,x). [para(172(a,1),2247(a,1,1))]. 2255 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(199,a,2068,a(flip),b,2230,a(flip)),flip(a)]. 2257 T(x,y / (y * x)) = T(x,x \ 1). [hyper(199,a,106,a,b,2255,a)]. 2258 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(14(a,1),2255(a,1,2,2))]. 2259 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2257(a,1),105(a,1,2))]. 2260 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(199,a,2017,a(flip),b,2234,a)]. 2261 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2234(a,2),30(a,2,2)),flip(a)]. 2262 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2234(a,2),421(a,1,2))]. 2263 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2234(a,2),536(a,1,1))]. 2264 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2234(a,1),663(a,1,2))]. 2265 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(199,a,997,a(flip),b,2246,a)]. 2266 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(21,a,2246,a)]. 2267 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2246(a,2),421(a,1,2))]. 2269 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2246(a,2),245(a,1,1))]. 2271 T(x,y) \ K(x \ 1,x) = T(T(x,y) \ 1,x). [hyper(68,a,2253,a(flip),b,1047,a(flip))]. 2272 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(15(a,1),2258(a,1,2))]. 2273 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(60(a,1),2258(a,1,2))]. 2274 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2218(a,1),150(a,1,1,2))]. 2275 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2221(a,1),105(a,1,2)),flip(a)]. 2276 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2221(a,1),150(a,1,1,2))]. 2277 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2227(a,1),14(a,1,2))]. 2279 x * (T(x,y) \ K(x \ 1,x)) = (T(x,y) \ 1) * x. [para(2271(a,2),105(a,1,2))]. 2281 x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z. [para(997(a,1),2251(a,1))]. 2282 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1473(a,1),2265(a,2,2))]. 2283 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2265(a,1),2250(a,1))]. 2284 x * (y * K(z \ 1,z)) != x * u | K(z \ 1,z) * y = u. [para(2266(a,1),19(a,1))]. 2285 (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(2266(a,2),597(a,1,2))]. 2286 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(13(a,1),2274(a,1,1,2,1,1))]. 2287 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2274(a,1),207(a,1,1)),flip(b)]. 2288 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(94(a,2),2275(a,2,2,2,2))]. 2289 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2276(a,1,1,2,2,2))]. 2290 (1 / (1 / (x / y))) * y != z | y * (1 / (1 / (y \ x))) = z. [para(2276(a,1),207(a,1,1)),flip(b)]. 2291 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(1955,a,2279,a)]. 2292 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(2083,a,2260,a)]. 2293 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(2237,a,2292,a)]. 2294 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(199,a,2060,a(flip),b,2292,a)]. 2295 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(718,a,2269,a)]. 2296 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(150(a,1),2222(a,1,1))]. 2298 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2234(a,2),2261(a,1,1))]. 2299 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2252(a,1),2295(a,1,1,2))]. 2300 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(2290,a,2288,a),flip(a)]. 2301 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(13(a,1),1615(a,2,2))]. 2302 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). [hyper(199,a,176,a(flip),b,2301,a)]. 2304 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. [para(2301(a,2),404(a,1))]. 2305 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. [para(2302(a,2),302(a,1))]. 2306 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1269(a,1),1757(a,1,2,1)),flip(a)]. 2307 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(68,a,55,a(flip),b,2306,a),flip(a)]. 2308 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1771(a,1),1772(a,1,2)),flip(a)]. 2309 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(199,a,13,a(flip),b,2308,a)]. 2311 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(845(a,1),2309(a,1,1,2)),flip(a)]. 2312 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(1212(a,2),2309(a,1,1,2)),flip(a)]. 2313 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(1089,a,2311,a),flip(a)]. 2314 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(1214,a,2312,a),flip(a)]. 2315 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(273,a,2314,a),flip(a)]. 2316 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(199,a,176,a(flip),b,1773,a)]. 2317 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1771(a,1),2316(a,1,1)),flip(a)]. 2318 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1212(a,2),2317(a,1,1)),flip(a)]. 2319 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1212(a,2),2318(a,1,1,2)),flip(a)]. 2320 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),1895(a,2,2,1,2,1))]. 2321 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(79,a,2320,a)]. 2322 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2321(a,1,1,2,1,2,2)),flip(a)]. 2323 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(2001(a,2),2016(a,1,2,1,1))]. 2324 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2132(a,1),2133(a,1,2,1)),flip(a)]. 2325 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(331,a,2163,a),flip(a)]. 2326 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(199,a,1397,a(flip),b,2164,a)]. 2327 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(167(a,1),2201(a,1,2))]. 2328 ((T(x,y) \ x) / x) * K(x \ 1,x) != z | (x \ 1) * (T(x,y) \ x) = z. [para(2327(a,1),215(a,1))]. 2329 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(2051(a,1),2294(a,1,1))]. 2330 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(896(a,1),2329(a,1,2))]. 2331 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(199,a,2123,a(flip),b,2330,a(flip)),flip(a)]. 2332 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(199,a,1662,a(flip),b,2331,a)]. 2333 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(2122,a,2332,a)]. 2334 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(199,a,145,a(flip),b,2333,a),flip(a)]. 2335 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(145(a,1),2334(a,2,2,2)),flip(a)]. 2336 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(73,a,2335,a)]. 2337 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(67,a,2335,a(flip),b,1039,a),flip(a)]. 2338 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(68,a,2337,a(flip),b,2159,a(flip)),flip(a)]. 2339 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2337(a,1),2160(a,1,2))]. 2340 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(199,a,106,a,b,2338,a)]. 2341 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(69,a,2338,a(flip),b,1854,a),flip(a)]. 2342 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(14(a,1),2338(a,1,2,1))]. 2343 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(85(a,1),2340(a,1,2,1))]. 2344 T(1 / (1 / x),(y * x) \ y) = x. [hyper(137,a,2339,a)]. 2346 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(14(a,1),2344(a,1,2,1))]. 2347 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(199,a,1966,a(flip),b,2341,a)]. 2349 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),2347(a,1,2,1)),flip(a)]. 2350 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),2347(a,1,2,1))]. 2351 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2347(a,2),2053(a,1,1))]. 2352 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2347(a,2),2231(a,1,1))]. 2353 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(199,a,575,a,b,2350,a(flip)),flip(a)]. 2354 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2342(a,2),60(a,1,2))]. 2355 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(63(a,1),2342(a,1,2))]. 2356 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1051(a,2),2342(a,1,1))]. 2357 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2342(a,1),1219(a,1,2)),flip(a)]. 2358 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2342(a,2),1821(a,2,1,2,2)),flip(a)]. 2359 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2342(a,2),2274(a,1,1,2))]. 2360 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1051(a,2),2346(a,1,1,2,2))]. 2361 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(13(a,1),2354(a,1,2,2))]. 2363 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2336(a,1),198(a,1,1))]. 2364 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(2006,a,2349,a)]. 2365 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(13(a,1),2349(a,2,2))]. 2366 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1130(a,2),2349(a,2,2)),flip(a)]. 2367 T(x,K(y \ z,z \ y)) = x. [para(2349(a,1),2232(a,1,2))]. 2368 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2178,a,2367,a),flip(a)]. 2369 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(576,a,2359,a)]. 2370 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2369(a,1,2))]. 2371 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),2343(a,1,2)),flip(a)]. 2372 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(352,a,2371,a),flip(a)]. 2373 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(1922,a,2372,a),flip(a)]. 2376 1 / (1 / K(x,y)) = K(x,y). [para(2373(a,1),123(a,1,2,2))]. 2378 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(199,a,2349,a(flip),b,2366,a)]. 2379 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(329(a,1),2363(a,2,1))]. 2380 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(199,a,1820,a(flip),b,2358,a(flip))]. 2381 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(13(a,1),2380(a,1,1,1)),flip(a)]. 2382 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2376(a,1),2360(a,1,1))]. 2383 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(199,a,2356,a(flip),b,2382,a(flip)),flip(a)]. 2384 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2383(a,1),60(a,1,2))]. 2385 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(13(a,1),2381(a,1,1,1)),flip(a)]. 2386 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(13(a,1),2385(a,2,2))]. 2388 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(851(a,1),2323(a,2,2))]. 2389 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(199,a,1317,a(flip),b,2388,a)]. 2390 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(636,a,2389,a),flip(a)]. 2391 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(13(a,1),2389(a,1,2,1)),flip(a)]. 2392 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2389(a,1),803(a,1,2)),flip(a)]. 2393 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(107(a,1),2390(a,2,1))]. 2394 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2391(a,2),2084(a,1,2))]. 2395 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(2065,a,2393,a)]. 2396 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2395(a,1),14(a,1,2))]. 2397 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(63(a,1),2395(a,1,2,2,2)),flip(a)]. 2398 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2396(a,1,2,1)),flip(a)]. 2399 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(2051(a,1),2398(a,1,2)),flip(a)]. 2400 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(215,a,2394,a)]. 2401 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2394(a,1),215(a,1))]. 2402 L(x,y,K(x,x \ 1)) = x. [hyper(391,a,2400,a)]. 2403 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(2051(a,1),2402(a,1,3))]. 2404 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2403(a,1),40(a,2,1))]. 2405 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(383(a,1),2392(a,1,1,1)),flip(a)]. 2406 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(383(a,1),2405(a,1,1)),flip(a)]. 2407 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2406(a,2),1409(a,1,2))]. 2408 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(215,a,2407,a)]. 2409 L(x,y,K(x \ 1,x)) = x. [hyper(391,a,2408,a)]. 2410 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2409(a,1),40(a,2,1))]. 2411 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1774,a,2410,a)]. 2412 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(890(a,1),2411(a,1,2)),flip(a)]. 2413 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(356(a,1),2397(a,1,1)),flip(a)]. 2414 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2194(a,1),2399(a,2,1))]. 2415 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2052(a,1),2413(a,1,2,2))]. 2416 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2325(a,2),2415(a,1,2))]. 2417 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(467,a,2416,a),flip(a)]. 2418 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2051(a,1),2417(a,1,2))]. 2419 R(x,y,K(x \ 1,x)) = x. [hyper(427,a,2418,a)]. 2420 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(932(a,1),2418(a,1,1)),flip(a)]. 2421 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2419(a,1),42(a,2,1))]. 2422 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2421(a,1),350(a,1,1)),flip(a)]. 2423 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2422(a,1),2420(a,1,2)),flip(a)]. 2424 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(1955,a,2423,a(flip)),flip(a)]. 2425 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(199,a,431,a(flip),b,626,a)]. 2426 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(789,a,2425,a)]. 2427 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(105(a,1),2426(a,1,2)),flip(a)]. 2428 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(789,a,1225,a),flip(a)]. 2429 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(631(a,1),2428(a,2,2))]. 2430 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(391,a,2429,a)]. 2431 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(199,a,1047,a(flip),b,2430,a),flip(a)]. 2432 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(57(a,1),2430(a,2,1,2))]. 2433 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(845(a,1),2430(a,1,1))]. 2434 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(15(a,1),2433(a,2,1,2))]. 2435 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(359(a,1),2433(a,2,1,2))]. 2437 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(1855(a,1),2435(a,1,1))]. 2438 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2352(a,1),2437(a,1,1))]. 2439 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2438(a,2),363(a,1,1)),flip(a)]. 2440 T(x,L(K(y,y \ 1),y,z)) = x. [para(2438(a,2),2241(a,1,2))]. 2442 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(199,a,2365,a(flip),b,2439,a(flip)),flip(a)]. 2443 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1297(a,1),1243(a,2,1))]. 2444 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1308(a,1),2443(a,2,1,1))]. 2445 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(199,a,30,a,b,2444,a),flip(a)]. 2446 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2444(a,2),436(a,1))]. 2447 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(199,a,1047,a(flip),b,2445,a),flip(a)]. 2448 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(57(a,1),2445(a,2,1,2))]. 2449 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(1273(a,1),2445(a,2,1,2))]. 2450 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(1047(a,1),2446(a,1))]. 2451 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(215,a,2447,a),flip(a)]. 2453 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(1587,a,1469,a)]. 2455 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2453(a,1),751(a,1,1)),flip(a)]. 2456 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(199,a,531,a(flip),b,2455,a)]. 2457 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(199,a,1548,a(flip),b,2456,a(flip))]. 2458 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(172(a,2),903(a,1,2,1,1))]. 2459 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(1448(a,1),1020(a,1,1))]. 2460 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2171(a,1),2459(a,1,1))]. 2461 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1014(a,1),2460(a,2,1))]. 2462 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2461(a,2),579(a,1))]. 2463 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(32(a,2),1059(a,1,1))]. 2464 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(1777(a,1),2463(a,2,2))]. 2465 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(780(a,1),1099(a,1,2)),flip(a)]. 2466 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(199,a,1212,a,b,1216,a)]. 2467 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2466(a,1),337(a,1,1))]. 2468 T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2386(a,1),2467(a,1))]. 2469 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(172(a,2),1452(a,1,2,1,1))]. 2470 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2431(a,1),1819(a,1,1))]. 2471 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(242(a,1),2470(a,1,1,1))]. 2472 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1196(a,1),2471(a,1,2))]. 2473 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(199,a,40,a,b,2472,a(flip)),flip(a)]. 2474 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1199(a,1),2473(a,2,1))]. 2475 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2247(a,1),2474(a,1,1))]. 2476 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2475(a,1),92(a,1,2))]. 2478 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2476(a,1),19(a,1)),flip(a)]. 2479 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(86(a,1),1858(a,1,1))]. 2480 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(86(a,1),2479(a,1,2,1,1))]. 2481 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(2328,a,2414,a(flip)),flip(a)]. 2482 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(2051(a,1),2481(a,1,2,2))]. 2483 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2424(a,1),2482(a,1,2))]. 2484 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2291(a,1),2483(a,1,2))]. 2485 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2200,a,2484,a),flip(a)]. 2486 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(68,a,2199,a(flip),b,2484,a(flip))]. 2487 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(237,a,2485,a),flip(a)]. 2488 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(199,a,1836,a(flip),b,2486,a(flip)),flip(a)]. 2489 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(199,a,2384,a,b,2488,a(flip)),flip(a)]. 2490 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(42(a,2),2488(a,1,1,2))]. 2491 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(107(a,1),2488(a,1,1,2)),flip(a)]. 2492 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(638(a,1),2488(a,1,1))]. 2493 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1554(a,1),2488(a,1,1,2)),flip(a)]. 2494 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2489(a,1),125(a,1,2,1))]. 2495 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(107(a,1),2491(a,1,1)),flip(a)]. 2496 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2495(a,1,1,2)),flip(a)]. 2497 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(199,a,2487,a(flip),b,2492,a)]. 2498 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),2496(a,1,1)),flip(a)]. 2499 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2498(a,1),60(a,1,2))]. 2501 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),2493(a,2,1))]. 2503 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(42(a,2),2490(a,2,1))]. 2504 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(199,a,1561,a(flip),b,2458,a)]. 2505 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(199,a,1671,a(flip),b,2469,a)]. 2506 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(895(a,1),2504(a,2,1))]. 2507 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1268(a,1),2505(a,2,1))]. 2508 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(199,a,433,a(flip),b,733,a)]. 2509 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1095,a,2508,a)]. 2510 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1346(a,1),2509(a,2,1,1))]. 2511 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2264,a,2263,a),flip(a)]. 2512 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),1730(a,1,2,1)),flip(a)]. 2513 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(14(a,1),1779(a,1,2,1)),flip(a)]. 2515 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(2179,a,2180,a),flip(a)]. 2516 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1840(a,1),2515(a,1,2))]. 2517 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(199,a,1805,a(flip),b,2516,a(flip))]. 2518 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2517(a,1),2207(a,1))]. 2519 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1573(a,1),2434(a,1,1,2)),flip(a)]. 2520 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(52(a,1),2519(a,2,1))]. 2521 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(199,a,284,a(flip),b,2520,a)]. 2524 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2521(a,1),221(a,1,2)),flip(a)]. 2525 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(199,a,12,a(flip),b,2524,a)]. 2526 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2525(a,1),20(a,1)),flip(a)]. 2527 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(1694(a,1),1551(a,1,2,1))]. 2528 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(15(a,1),2527(a,1,2)),flip(a)]. 2529 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2528(a,1),14(a,1,2)),flip(a)]. 2531 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2528(a,1),211(a,1,2)),flip(b)]. 2532 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2529(a,2),254(a,1,2)),flip(b)]. 2533 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(1839(a,1),1061(a,1,1,2))]. 2534 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(854(a,1),2533(a,1,1,2)),flip(a)]. 2535 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(860(a,1),2534(a,2,1))]. 2536 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(375(a,1),2535(a,1,1))]. 2537 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2518,a,2536,a)]. 2539 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(682(a,1),1769(a,2,1))]. 2540 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(199,a,2465,a(flip),b,2539,a)]. 2541 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1435(a,1),1770(a,2,2,1))]. 2542 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(15(a,1),2541(a,2,2))]. 2543 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(199,a,2540,a(flip),b,2542,a(flip)),flip(a)]. 2545 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2543(a,1),14(a,1,2))]. 2546 (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(199,a,397,a(flip),b,1679,a)]. 2547 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(165(a,1),2546(a,2,2))]. 2548 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1746(a,1),1778(a,1,2))]. 2549 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(679,a,2548,a),flip(a)]. 2550 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(199,a,2464,a(flip),b,2549,a(flip)),flip(a)]. 2551 K(x,y / (x * y)) = K(x,x \ 1). [hyper(199,a,2040,a(flip),b,2550,a(flip))]. 2553 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(16(a,1),2551(a,1,2,2)),flip(a)]. 2554 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1578(a,1),1783(a,2,1))]. 2555 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(199,a,1269,a(flip),b,2554,a)]. 2557 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1269(a,1),2555(a,1,1))]. 2558 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(35,a,2557,a)]. 2559 (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),1097(a,1,2,1,1))]. 2560 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1095,a,2559,a),flip(a)]. 2561 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(774(a,1),2560(a,2,2))]. 2562 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(391,a,2561,a),flip(a)]. 2563 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(199,a,1005,a(flip),b,2562,a(flip))]. 2564 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1584(a,1),2563(a,1,1,2)),flip(a)]. 2565 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(199,a,2432,a(flip),b,2564,a)]. 2566 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(18,a,172,a(flip),b,2565,a)]. 2567 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(63(a,1),2566(a,1,1))]. 2568 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(896(a,1),2567(a,1,2))]. 2569 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2568(a,1),16(a,1,1))]. 2570 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2526,a,2569,a)]. 2571 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1487(a,1),2570(a,1,1)),flip(a)]. 2572 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(199,a,1888,a(flip),b,1892,a)]. 2573 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(1353(a,1),2449(a,1,1,2,1))]. 2574 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(1707(a,1),2573(a,1,1,2)),flip(a)]. 2576 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(101(a,1),1477(a,1,1,1,2,2)),flip(a)]. 2577 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(199,a,751,a(flip),b,2576,a)]. 2578 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(199,a,1885,a(flip),b,2577,a)]. 2579 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(751(a,1),2578(a,1,1))]. 2580 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1897(a,1),2579(a,2,1))]. 2581 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,101,a,b,2580,a)]. 2582 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1544,a,2581,a),flip(a)]. 2583 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(14(a,1),2581(a,1,2,1)),flip(a)]. 2584 R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). [para(1543(a,2),2582(a,1,1))]. 2585 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(199,a,2001,a,b,2583,a)]. 2586 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1270(a,1),2585(a,1,1,2,1))]. 2587 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(30(a,2),1517(a,2,2,1,1))]. 2588 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1670(a,1),2587(a,1,1))]. 2589 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1675(a,1),2588(a,1,1,1))]. 2590 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(436,a,2589,a),flip(a)]. 2591 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(199,a,1276,a(flip),b,2590,a(flip))]. 2592 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(551(a,1),2590(a,2,1,2))]. 2593 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1285,a,2592,a),flip(a)]. 2594 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(11(a,1),2593(a,1,1,2,1)),flip(a)]. 2595 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1710(a,1),2591(a,1,1,2)),flip(a)]. 2596 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(18,a,2451,a(flip),b,2595,a)]. 2597 (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),1523(a,1,2,1,2,1))]. 2598 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(1076,a,2597,a),flip(a)]. 2599 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1072(a,1),2598(a,2,2))]. 2600 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(391,a,2599,a),flip(a)]. 2601 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(14(a,1),2600(a,1,2,1)),flip(a)]. 2602 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(199,a,2001,a,b,2601,a)]. 2603 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1548(a,1),2602(a,1,1))]. 2604 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(28(a,2),1537(a,2,2,1,1))]. 2605 (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(889(a,1),2604(a,1,2))]. 2606 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(13(a,1),2605(a,1,2,2,2,1,2))]. 2607 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(778(a,1),2606(a,1,2,2))]. 2608 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(403,a,2607,a),flip(a)]. 2610 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(646(a,1),2608(a,2,1,2))]. 2611 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(1468(a,1),2608(a,1,2))]. 2612 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1201(a,1),2610(a,1,2))]. 2613 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(128(a,1),2612(a,2,1,2))]. 2614 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(2001(a,2),2613(a,2,1))]. 2615 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(12(a,1),2611(a,1,2,2)),flip(a)]. 2616 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2457(a,1),2615(a,1,1)),flip(a)]. 2617 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(199,a,2603,a(flip),b,2616,a)]. 2618 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,2001,a(flip),b,2617,a)]. 2619 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(199,a,2571,a,b,2618,a(flip)),flip(a)]. 2620 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2619(a,1),60(a,1,2)),flip(a)]. 2621 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(60(a,1),2620(a,1,1,2)),flip(a)]. 2622 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(2620(a,1),168(a,1,1))]. 2623 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2620(a,2),2300(a,1,2))]. 2624 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2621(a,1),127(a,1,1,1))]. 2625 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(145(a,1),2621(a,1,2,2)),flip(a)]. 2626 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(306(a,1),2621(a,1,2,2)),flip(a)]. 2627 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(2621(a,1),2620(a,1,1)),flip(a)]. 2628 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(60(a,1),2625(a,1,1))]. 2629 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(2625(a,2),63(a,1,1))]. 2630 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(60(a,1),2624(a,1,1,1,1)),flip(a)]. 2631 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(199,a,2545,a,b,2626,a(flip)),flip(a)]. 2632 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(199,a,1588,a,b,2626,a(flip)),flip(a)]. 2633 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2632(a,1),2101(a,1,2)),flip(a)]. 2634 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(17,a,1954,a,b,2631,a),flip(a)]. 2635 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(199,a,574,a(flip),b,2634,a)]. 2636 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2634(a,1),2357(a,1,2))]. 2637 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(63(a,1),2622(a,2,1))]. 2638 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(2637(a,1),38(a,1,1)),flip(a)]. 2639 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2349(a,1),2633(a,1,2))]. 2640 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2353(a,1),2639(a,1,2))]. 2641 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2635(a,1),1232(a,1,2))]. 2642 (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(121(a,1),2640(a,1,1)),flip(a)]. 2643 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2347(a,1),2641(a,1,2))]. 2644 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2338(a,1),2643(a,2,2))]. 2645 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2340(a,1),2643(a,2,2))]. 2646 (x * y) * K(y,(z * y) \ z) = x * T(y,(x * y) \ x). [para(2347(a,2),2643(a,1,2))]. 2647 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2236,a,2644,a)]. 2648 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(268,a,2644,a),flip(a)]. 2649 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(199,a,2062,a,b,2644,a(flip)),flip(a)]. 2650 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(105(a,1),2644(a,1,1))]. 2652 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2236,a,2645,a)]. 2653 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(268,a,2645,a),flip(a)]. 2654 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2401,a,2647,a)]. 2655 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2213(a,1),2648(a,1,2))]. 2656 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(69,a,2277,a(flip),b,2649,a),flip(a)]. 2657 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(69,a,274,a(flip),b,2649,a),flip(a)]. 2658 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2649(a,1),20(a,1))]. 2660 x * ((y \ 1) \ 1) != z * y | K(y,y \ 1) * x = z. [para(2654(a,1),20(a,1))]. 2662 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(17,a,1851,a,b,2656,a),flip(a)]. 2663 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(47(a,1),2662(a,1,2,1)),flip(a)]. 2665 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(199,a,2537,a(flip),b,2663,a(flip)),flip(a)]. 2666 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(z * y) \ z). [hyper(1630,a,2646,a)]. 2668 L(K(x,x \ 1),x,y) = K(x,(z * x) \ z). [hyper(199,a,2438,a,b,2666,a(flip)),flip(a)]. 2670 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(199,a,2347,a(flip),b,2668,a)]. 2671 K((x * y) \ x,y) = K(y,(z * y) \ z) \ 1. [para(2668(a,1),2442(a,2,1))]. 2672 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(2051(a,1),2670(a,1,1))]. 2673 K((x * y) \ x,y) = K(y \ 1,y). [hyper(199,a,2351,a(flip),b,2671,a)]. 2675 K(x \ (x / y),y) = K(y \ 1,y). [para(16(a,1),2673(a,1,1,1))]. 2676 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(105(a,1),2673(a,1,1,1)),flip(a)]. 2677 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(1133(a,1),2675(a,1,1,2)),flip(a)]. 2678 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(32(a,1),2676(a,2,2)),flip(a)]. 2679 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(199,a,2051,a(flip),b,2672,a)]. 2680 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2679(a,1),669(a,1,2))]. 2681 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1423,a,2680,a)]. 2682 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2680(a,1),16(a,1,1))]. 2683 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2680(a,1),1420(a,1,1))]. 2685 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(898,a,2681,a),flip(a)]. 2686 R(x / (1 / y),y \ 1,y) = x * y. [hyper(452,a,2685,a),flip(a)]. 2687 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(199,a,516,a(flip),b,2685,a(flip))]. 2688 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(60(a,1),2685(a,1,2)),flip(a)]. 2689 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2251,a,2682,a)]. 2690 R(x,1 / y,K(y \ 1,y)) = x. [hyper(725,a,2682,a)]. 2691 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(268,a,2682,a),flip(a)]. 2692 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(2003(a,1),2690(a,1,3))]. 2693 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(199,a,2026,a(flip),b,2692,a(flip)),flip(a)]. 2694 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2692(a,1),2025(a,1,1)),flip(a)]. 2695 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(199,a,1177,a,b,2691,a(flip)),flip(a)]. 2696 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(199,a,1183,a(flip),b,2691,a(flip))]. 2698 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(199,a,2064,a(flip),b,2693,a(flip)),flip(a)]. 2699 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2236,a,2694,a)]. 2700 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2695(a,1),16(a,1,1))]. 2701 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2695(a,1),2686(a,1,1))]. 2702 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2251,a,2696,a)]. 2703 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(199,a,2640,a(flip),b,2698,a(flip)),flip(a)]. 2704 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(68,a,2698,a(flip),b,2640,a(flip)),flip(a)]. 2706 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2369(a,1),2687(a,1,1)),flip(a)]. 2707 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [hyper(69,a,2703,a(flip),b,2275,a)]. 2708 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(60(a,1),2703(a,1,2,2,2,2)),flip(a)]. 2709 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(60(a,1),2704(a,2,2,2,2))]. 2710 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2704(a,1),63(a,1,1))]. 2712 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(60(a,1),2707(a,1,1,2,2)),flip(a)]. 2713 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2708(a,2,2,2,2))]. 2714 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2708(a,1),63(a,1,1))]. 2715 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(123(a,1),2710(a,1,1,2,2)),flip(a)]. 2716 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2712(a,1),63(a,1,1)),flip(a)]. 2717 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2628(a,2),2713(a,1,2))]. 2718 x / L(y,y \ 1,x) = x * (1 / y). [para(60(a,1),2717(a,2,2,2))]. 2719 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2718(a,2),574(a,1,1,2))]. 2720 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(199,a,2430,a,b,2719,a(flip)),flip(a)]. 2721 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(63(a,1),2720(a,1,2))]. 2722 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(32(a,2),2714(a,1,1,2,2,2))]. 2723 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2715(a,1),125(a,1,2,1))]. 2724 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(60(a,1),2723(a,1,2,1,1,2)),flip(a)]. 2725 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2355(a,2),2723(a,1,2))]. 2726 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2283,a,2725,a)]. 2727 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(2281,a,2725,a)]. 2728 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(73,a,2725,a),flip(a)]. 2729 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2726(a,1),1415(a,1,1))]. 2730 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(63(a,1),2728(a,2,2,2,1))]. 2731 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2728(a,1),105(a,1,2))]. 2732 (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. [hyper(199,a,2246,a,b,2729,a)]. 2733 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(15(a,1),2729(a,1,1)),flip(a)]. 2734 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(562(a,1),2729(a,1,1)),flip(a)]. 2735 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(878(a,1),2729(a,1,1)),flip(a)]. 2736 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(562(a,1),2732(a,1,1)),flip(a)]. 2737 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(18,a,1416,a(flip),b,2733,a)]. 2738 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(723,a,2733,a(flip)),flip(a)]. 2739 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2734(a,1),2700(a,1,1)),flip(a)]. 2740 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2660,a,2737,a)]. 2741 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(2658,a,2737,a)]. 2742 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(18,a,2654,a(flip),b,2737,a)]. 2743 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(18,a,2649,a(flip),b,2737,a)]. 2744 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2246(a,2),2737(a,1,1))]. 2745 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(2284,a,2740,a)]. 2746 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2740(a,1),19(a,1)),flip(a)]. 2747 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2740(a,1),94(a,2,2))]. 2748 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2740(a,1),2284(a,1)),flip(a)]. 2749 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2682(a,1),2740(a,1,2))]. 2750 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2696(a,1),2740(a,1,2))]. 2751 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(220,a,2741,a)]. 2752 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(18,a,2698,a,b,2741,a)]. 2753 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [para(2246(a,2),2741(a,1,1))]. 2754 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2682(a,1),2741(a,1,1))]. 2755 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2696(a,1),2741(a,1,1))]. 2756 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(68,a,2742,a(flip),b,2246,a)]. 2757 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2742(a,1),20(a,1)),flip(a)]. 2758 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2742(a,1),102(a,2,1))]. 2759 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2742(a,1),2249(a,2))]. 2760 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2251,a,2743,a)]. 2761 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2743(a,1),102(a,2,1))]. 2762 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2743(a,1),2249(a,2))]. 2763 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [para(2699(a,1),2745(a,1,2))]. 2764 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(18,a,2104,a(flip),b,2753,a)]. 2765 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2753(a,1),20(a,1)),flip(a)]. 2766 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(402(a,1),2753(a,1,1))]. 2767 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2756(a,1),2326(a,1,2,1))]. 2768 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2756(a,1),2506(a,1,2,1))]. 2769 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2756(a,1),2507(a,1,2,1))]. 2770 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2760(a,1),94(a,2,1))]. 2771 (x / (y \ 1)) * (1 / y) = K(y,y \ 1) * x. [para(16(a,1),2749(a,1,2)),flip(a)]. 2772 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2215(a,1),2750(a,1,2,2))]. 2773 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(69,a,2752,a(flip),b,2691,a),flip(a)]. 2774 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(18,a,2013,a,b,2754,a)]. 2775 ((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(2754(a,1),429(a,1,1))]. 2776 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(438,a,2738,a)]. 2777 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2035(a,2),2738(a,1,2))]. 2778 x \ R(x,y \ 1,y) != z | a(x,y \ 1,(y \ 1) \ 1) = z. [para(2776(a,1),604(a,1,2))]. 2779 K(x / (y * x),y) = K(y \ 1,y). [hyper(18,a,1881,a,b,2764,a),flip(a)]. 2780 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2779(a,1,1,2)),flip(a)]. 2782 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(199,a,2553,a,b,2780,a)]. 2783 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2780(a,2,1))]. 2784 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2259(a,1),2739(a,1,1)),flip(a)]. 2786 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1400(a,1),2701(a,2,1))]. 2787 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2215(a,1),2722(a,1,1,2))]. 2788 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(199,a,2551,a(flip),b,2783,a)]. 2790 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2788(a,1),2034(a,1,1))]. 2791 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [hyper(2748,a,2790,a)]. 2792 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2237,a,2790,a)]. 2793 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(499,a,2790,a)]. 2794 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(199,a,228,a(flip),b,2790,a)]. 2795 L(x,y,K(y,y \ 1)) = x. [hyper(1978,a,2790,a(flip))]. 2796 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(199,a,2082,a(flip),b,2790,a(flip)),flip(a)]. 2797 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(69,a,2790,a(flip),b,2082,a(flip))]. 2799 L(x,K(y \ 1,y),1 / y) = x. [hyper(199,a,2112,a(flip),b,2795,a(flip)),flip(a)]. 2800 L(x,1 / y,K(y \ 1,y)) = x. [para(2051(a,1),2795(a,1,3))]. 2801 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(2305,a,2799,a)]. 2802 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(2304,a,2799,a)]. 2804 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(68,a,2799,a(flip),b,2301,a(flip))]. 2805 L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. [para(2799(a,1),2305(a,1))]. 2806 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(199,a,2124,a(flip),b,2800,a(flip)),flip(a)]. 2807 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(2003(a,1),2800(a,1,3))]. 2808 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2800(a,1),1956(a,1,2)),flip(a)]. 2809 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2800(a,1),2110(a,1,1,2))]. 2810 L(T(x \ y,z),x,x \ 1) = T((1 / x) * y,z). [hyper(1087,a,2802,a),flip(a)]. 2811 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(608,a,2802,a),flip(a)]. 2813 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(60(a,1),2802(a,1,3)),flip(a)]. 2815 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(173(a,1),2801(a,1,2)),flip(a)]. 2816 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2801(a,1),226(a,1,1))]. 2817 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(63(a,1),2804(a,1,2,3))]. 2818 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(199,a,2028,a(flip),b,2807,a(flip)),flip(a)]. 2819 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2807(a,1),2027(a,1,2)),flip(a)]. 2820 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(199,a,119,a(flip),b,2809,a)]. 2821 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2809(a,1),529(a,1,2))]. 2822 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2809(a,1),2412(a,1,2))]. 2823 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(60(a,1),2822(a,1,2,1)),flip(a)]. 2824 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1410,a,2791,a),flip(a)]. 2825 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(106(a,1),2791(a,1,2,1))]. 2826 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(199,a,228,a(flip),b,2792,a)]. 2828 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2740(a,1),2793(a,1,2)),flip(a)]. 2829 T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. [para(2796(a,1),19(a,1))]. 2830 R(x,K(x,x \ 1),y) = x. [hyper(2042,a,2797,a)]. 2831 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(2051(a,1),2830(a,1,2))]. 2832 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(2831(a,1),2447(a,1,1)),flip(a)]. 2834 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2762,a,2806,a)]. 2835 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2759,a,2806,a)]. 2836 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2250,a,2806,a)]. 2838 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2806(a,1),2115(a,1,2))]. 2839 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2762,a,2808,a)]. 2840 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2759,a,2808,a)]. 2841 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2250,a,2808,a)]. 2842 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2808(a,1),30(a,2,2)),flip(a)]. 2843 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2808(a,1),457(a,1,1))]. 2844 ((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(2808(a,1),394(a,1,1))]. 2846 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(2085,a,2818,a)]. 2848 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2746,a,2819,a)]. 2849 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(221(a,1),2819(a,1,2))]. 2850 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(590,a,2824,a)]. 2851 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(499,a,2825,a)]. 2852 x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. [hyper(270,a,2825,a),flip(a)]. 2853 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(199,a,2398,a(flip),b,2826,a(flip)),flip(a)]. 2855 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(60(a,1),2834(a,1,1,1))]. 2856 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(199,a,2246,a(flip),b,2838,a)]. 2857 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1796(a,1),2838(a,1,2)),flip(a)]. 2858 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(2088,a,2840,a)]. 2859 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(69,a,2840,a(flip),b,2771,a)]. 2860 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2840(a,1),121(a,1,1,2))]. 2861 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2840(a,1),403(a,1,2,2))]. 2862 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(894,a,2858,a)]. 2863 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(60(a,1),2862(a,1,2)),flip(a)]. 2864 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [hyper(199,a,2399,a,b,2841,a(flip)),flip(a)]. 2865 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [hyper(69,a,2846,a(flip),b,2771,a)]. 2866 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [hyper(199,a,2418,a(flip),b,2848,a(flip)),flip(a)]. 2867 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2634(a,1),2848(a,1,2))]. 2868 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2848(a,1),2700(a,1,1))]. 2869 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(68,a,14,a(flip),b,2850,a),flip(a)]. 2870 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(68,a,2850,a(flip),b,2266,a(flip))]. 2871 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2850(a,1),26(a,2,1)),flip(a)]. 2873 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(2043(a,1),2851(a,1,2,1))]. 2874 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(2806(a,1),2851(a,1,2)),flip(a)]. 2875 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(199,a,2246,a(flip),b,2852,a)]. 2876 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(417,a,2863,a),flip(a)]. 2877 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(199,a,2266,a,b,2866,a(flip)),flip(a)]. 2878 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(2759,a,2869,a)]. 2879 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2250,a,2869,a)]. 2880 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(199,a,1043,a(flip),b,2869,a(flip)),flip(a)]. 2881 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2869(a,1),2250(a,1))]. 2882 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2869(a,1),2744(a,1,1))]. 2883 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(2875(a,1),19(a,1))]. 2884 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(357(a,1),2875(a,1,2)),flip(a)]. 2885 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1411,a,2877,a),flip(a)]. 2886 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2273(a,1),2880(a,1,2))]. 2887 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(199,a,2763,a(flip),b,2885,a)]. 2888 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2870(a,1),2876(a,1,1))]. 2889 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(107(a,2),2865(a,1,1))]. 2891 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(221(a,1),2868(a,1,1)),flip(a)]. 2892 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(199,a,2879,a,b,2886,a),flip(a)]. 2893 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(69,a,2886,a(flip),b,2225,a)]. 2894 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(63(a,1),2886(a,1,2,1,1,2)),flip(a)]. 2895 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(126(a,1),2886(a,1,2,1,1,2))]. 2896 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(32(a,2),2887(a,1,2))]. 2897 T(x,1 / (1 / y)) = T(x,y). [hyper(319,a,2896,a),flip(a)]. 2898 T(x,1 / y) = T(x,y \ 1). [para(60(a,1),2897(a,1,2,2))]. 2899 T(x,(y \ 1) \ 1) = T(x,y). [para(123(a,1),2897(a,1,2)),flip(a)]. 2901 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2898(a,1),105(a,1,2))]. 2902 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(2899(a,1),105(a,1,2))]. 2903 T(x,y) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2899(a,1),166(a,1,1))]. 2904 T(x,T(y,y \ 1)) = T(x,y). [para(106(a,2),2899(a,1,2))]. 2906 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2273(a,2),2899(a,1,2))]. 2908 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2904(a,1),105(a,1,2))]. 2909 T(T(x,x \ 1) \ y,x) = y / ((x \ 1) \ 1). [hyper(69,a,272,a(flip),b,2903,a),flip(a)]. 2910 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2908(a,1),2574(a,2,1))]. 2911 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(63(a,1),2893(a,1,1,1,1)),flip(a)]. 2912 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(2894(a,1),60(a,1,2))]. 2913 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2912(a,1,2,2,1,1))]. 2914 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2225(a,2),2912(a,1,2))]. 2915 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(199,a,2370,a,b,2913,a),flip(a)]. 2916 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(106(a,2),2915(a,2,2,2)),flip(a)]. 2917 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(2916(a,1),63(a,1,1))]. 2918 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),2914(a,1,2,1,1,1))]. 2919 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2856(a,2),2888(a,1,1))]. 2920 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(105(a,1),2787(a,1,1)),flip(a)]. 2921 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2920(a,1),63(a,1,1))]. 2922 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(60(a,1),2921(a,1,1,1,1,2)),flip(a)]. 2923 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2922(a,1),63(a,1,1))]. 2924 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2801(a,1),2923(a,1,1,1,1))]. 2925 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(2815(a,2),2184(a,1,1))]. 2926 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(2051(a,1),2864(a,1,2,2))]. 2927 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(199,a,2266,a,b,2926,a(flip)),flip(a)]. 2929 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2742(a,1),2926(a,1,2)),flip(a)]. 2930 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(2929(a,1),173(a,1,2)),flip(a)]. 2931 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(17,a,2357,a,b,2892,a),flip(a)]. 2932 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(854(a,1),2721(a,1,1))]. 2933 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(199,a,747,a(flip),b,2932,a(flip))]. 2934 T(K(1 / (1 / x),y),x) = K(x,y). [para(2933(a,2),149(a,1,1))]. 2935 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(181(a,1),2934(a,1,1,1,2))]. 2936 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(60(a,1),2935(a,1,1,1))]. 2937 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(199,a,2904,a(flip),b,2936,a(flip))]. 2938 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(106(a,1),2937(a,1,1)),flip(a)]. 2939 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2537(a,1),2650(a,1,2))]. 2940 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(199,a,2217,a(flip),b,2939,a)]. 2941 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2665(a,1),2940(a,1,2))]. 2942 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(17,a,2826,a,b,2941,a)]. 2943 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(199,a,2663,a,b,2942,a(flip)),flip(a)]. 2947 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(68,a,2943,a(flip),b,2001,a(flip))]. 2948 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(2943(a,1),2754(a,1,2))]. 2949 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(2015,a,2947,a)]. 2950 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(199,a,2233,a(flip),b,2947,a(flip)),flip(a)]. 2951 (1 / T(x,y)) * x = T(x,y) \ x. [para(2950(a,1),16(a,1,1))]. 2952 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(2950(a,2),63(a,1,1))]. 2953 x / T(x,y) = T(x,y) \ x. [hyper(1117,a,2951,a)]. 2955 (T(x,y) \ x) * T(x,y) = x. [para(2953(a,1),16(a,1,1))]. 2956 (T(x,y) \ x) \ x = T(x,y). [para(2953(a,1),63(a,1,1))]. 2957 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2953(a,1),1248(a,1,1))]. 2958 L(x,T(x,y) \ x,x) = x. [hyper(199,a,2141,a,b,2955,a(flip)),flip(a)]. 2960 (x * y) * T(K(y,x),x) = y * x. [para(2958(a,1),2140(a,1,2)),flip(a)]. 2961 T(K(x,y),y) = K(x,y). [hyper(223,a,2960,a),flip(a)]. 2962 (x * K(y,x)) / x = K(y,x). [hyper(341,a,2961,a)]. 2963 T(x,K(y,x)) = x. [hyper(35,a,2961,a)]. 2964 K(x,y) * y = y * K(x,y). [para(2961(a,1),105(a,1,2)),flip(a)]. 2966 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2961(a,1),164(a,1,2,1)),flip(a)]. 2967 K(x,K(y,x)) = 1. [hyper(36,a,2963,a)]. 2968 T(x * y,K(z,x * y)) != x * u | u = y. [para(2963(a,2),19(a,2)),flip(a)]. 2969 T(T(x,y),K(z,x)) = T(x,y). [para(2963(a,1),38(a,1,1)),flip(a)]. 2970 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2963(a,1),163(a,1,2,1)),flip(a)]. 2971 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2963(a,1),164(a,1,2,1)),flip(a)]. 2972 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2963(a,1),165(a,1,2,1)),flip(a)]. 2973 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2963(a,1),330(a,1,2,1))]. 2975 T(x,y * T(y \ 1,x)) = x. [para(1047(a,1),2963(a,1,2))]. 2976 T(x,y \ T(y,x)) = x. [para(1051(a,1),2963(a,1,2))]. 2977 T(x,x \ ((y * x) / y)) = x. [para(1233(a,1),2963(a,1,2))]. 2978 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2963(a,1),2427(a,1,1,1)),flip(a)]. 2979 T(x,T(y,x) \ y) = x. [para(47(a,1),2976(a,1,2,2))]. 2980 x * (y \ T(y,x)) != z | (y \ T(y,x)) * x = z. [para(2976(a,1),217(a,1,1))]. 2981 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2979(a,1),105(a,1,2))]. 2983 L(K(x,y),y,1 / y) = K(x,y). [hyper(199,a,2319,a,b,2962,a(flip)),flip(a)]. 2984 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(199,a,1085,a,b,2962,a(flip)),flip(a)]. 2985 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(2962(a,1),446(a,1,1)),flip(a)]. 2986 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(2962(a,1),515(a,1,1,1))]. 2987 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2964(a,1),101(a,1,2))]. 2988 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2964(a,1),427(a,2,2))]. 2989 T(K(x,y),T(y,z)) = K(x,y). [hyper(35,a,2969,a)]. 2990 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(2969(a,1),330(a,1,2,1))]. 2991 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(35,a,2975,a)]. 2992 T(x,x \ T(x,y)) = x. [para(185(a,2),2977(a,1,2,2))]. 2993 ((x * y) / x) / y = y \ ((x * y) / x). [para(2977(a,1),181(a,1,2))]. 2994 (x \ T(x,y)) * x = T(x,y). [para(2992(a,1),152(a,1,2))]. 2995 T(x,y) / x = x \ T(x,y). [para(2992(a,1),181(a,1,2))]. 2996 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1051(a,2),2992(a,1,2))]. 2997 K(K(x,y),T(y,z)) = 1. [hyper(36,a,2989,a)]. 2998 T(K(x,T(y,z)),y) = K(x,T(y,z)). [para(47(a,1),2989(a,1,2))]. 2999 K(x \ T(x,y),T(y,z)) = 1. [para(1051(a,1),2997(a,1,1))]. 3000 x * (T(x,y) / x) = T(x,y). [hyper(335,a,2994,a)]. 3001 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(18,a,1479,a,b,2994,a)]. 3002 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(199,a,1802,a,b,2994,a(flip)),flip(a)]. 3003 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2994(a,1),28(a,2,1)),flip(a)]. 3004 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2994(a,1),30(a,2,1,1))]. 3005 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(106(a,1),2994(a,1,1,2))]. 3006 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2994(a,1),92(a,1,1))]. 3007 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2994(a,1),103(a,1,1,1)),flip(a)]. 3008 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2994(a,1),436(a,1,1,1))]. 3009 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2994(a,1),821(a,1,1)),flip(a)]. 3010 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1080,a,2995,a)]. 3011 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(863,a,2995,a),flip(a)]. 3012 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(855,a,2995,a)]. 3013 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2995(a,1),207(a,1,1)),flip(b)]. 3016 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2995(a,1),2205(a,1,1))]. 3017 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2995(a,1),2324(a,1,1,2))]. 3018 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(37,a,2999,a)]. 3020 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3000(a,1),2120(a,1,1))]. 3021 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(302,a,2983,a)]. 3022 (1 / x) \ K(y,x) = x * K(y,x). [hyper(68,a,2983,a(flip),b,176,a)]. 3023 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1060,a,2996,a)]. 3024 T(x,K(y,T(x,z))) = x. [hyper(35,a,2998,a)]. 3025 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(2998(a,1),105(a,1,2)),flip(a)]. 3027 T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). [para(3024(a,1),163(a,1,2,1)),flip(a)]. 3028 T(1 / x,T(x,y)) = x \ 1. [hyper(154,a,3010,a,b,847,a)]. 3029 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(199,a,63,a(flip),b,3028,a)]. 3030 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(199,a,1484,a(flip),b,3028,a(flip)),flip(a)]. 3031 T(1 / x,(y * x) / y) = x \ 1. [para(185(a,1),3028(a,1,2))]. 3032 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3028(a,1),167(a,1,1)),flip(a)]. 3033 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3028(a,1),315(a,2,1))]. 3034 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3028(a,1),1052(a,1,1)),flip(a)]. 3035 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(68,a,3021,a(flip),b,119,a(flip)),flip(a)]. 3037 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3029(a,1),1952(a,1,1)),flip(a)]. 3038 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3037(a,1),1541(a,1,1))]. 3040 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(199,a,1482,a,b,2981,a(flip)),flip(a)]. 3041 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2981(a,1),1775(a,1,1,2,1))]. 3042 x * (((y * x) / y) / x) = (y * x) / y. [para(2993(a,2),14(a,1,2))]. 3043 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(749(a,1),2993(a,1,1)),flip(a)]. 3044 T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u. [para(3018(a,1),338(a,1,1)),flip(b)]. 3045 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3023(a,1),14(a,1,2))]. 3046 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1270(a,1),3023(a,1,1,1,1))]. 3048 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1296(a,1),3042(a,1,2))]. 3049 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2821(a,1),3045(a,1,1,1,1))]. 3050 T(x,x / (y * x)) = T(x,x / (x * y)). [para(146(a,1),3002(a,1,2))]. 3053 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(150(a,1),3030(a,1,3,2))]. 3054 T(x,L(K(y,x),z,u)) = x. [hyper(188,a,2966,a)]. 3056 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(188,a,2971,a)]. 3057 T(K(x,y),L(y,z,u)) != w | K(x,y) = w. [para(3056(a,1),338(a,1,1)),flip(b)]. 3058 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2972(a,1),19(a,1)),flip(a)]. 3060 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2991(a,1),1371(a,1,2)),flip(a)]. 3061 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3011(a,1),652(a,2,1)),flip(a)]. 3062 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3011(a,1),2488(a,1,1))]. 3063 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(17,a,2220,a,b,3020,a),flip(a)]. 3064 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(199,a,2678,a,b,3063,a(flip)),flip(a)]. 3065 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3063(a,1),2763(a,1,1))]. 3066 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(3063(a,1),2869(a,1,1))]. 3067 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3063(a,1),2877(a,1,2,1))]. 3070 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3032(a,1),3034(a,1,2)),flip(a)]. 3071 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(199,a,242,a(flip),b,3070,a)]. 3074 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3071(a,1),893(a,1,1,2))]. 3075 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2531,a,3035,a)]. 3077 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3064(a,1),2636(a,1,2)),flip(a)]. 3078 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(946(a,1),2984(a,1,1,1))]. 3079 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3001(a,1),2489(a,1,2)),flip(a)]. 3080 L(x,x \ T(x,y),x) = x. [hyper(199,a,60,a(flip),b,3009,a)]. 3082 K(1 / x,y) = K(x \ 1,y). [hyper(199,a,2720,a(flip),b,3061,a(flip)),flip(a)]. 3083 K(1 / (1 / x),y) = K(x,y). [hyper(199,a,575,a(flip),b,3082,a)]. 3084 (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). [hyper(199,a,26,a(flip),b,3082,a),flip(a)]. 3085 K((x \ 1) \ 1,y) = K(x,y). [para(60(a,1),3082(a,1,1)),flip(a)]. 3086 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2214(a,1),3082(a,1,1))]. 3087 T(K(x,y),x) = K(x,y). [para(3083(a,1),2934(a,1,1))]. 3088 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2468,a,3087,a)]. 3089 T(x,K(x,y)) = x. [hyper(35,a,3087,a)]. 3090 K(T(x,x \ 1),y) = K(x,y). [hyper(199,a,2937,a,b,3087,a(flip)),flip(a)]. 3091 K(x,y) * x = x * K(x,y). [para(3087(a,1),105(a,1,2)),flip(a)]. 3092 K(x,y) * x != z | x * K(x,y) = z. [para(3087(a,1),217(a,1,1))]. 3093 T(K(x,y),x) != z | K(x,y) = z. [para(3087(a,1),338(a,1,1)),flip(b)]. 3094 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3087(a,1),165(a,1,2,1)),flip(a)]. 3095 T(T(x,y),K(x,z)) = T(x,y). [para(3089(a,1),38(a,1,1)),flip(a)]. 3096 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3089(a,1),163(a,1,2,1)),flip(a)]. 3097 T(T(T(x,y),z),K(x,u)) = T(T(x,y),z). [para(3089(a,1),108(a,2,1,1))]. 3098 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3089(a,1),164(a,1,2,1)),flip(a)]. 3099 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3089(a,1),165(a,1,2,1)),flip(a)]. 3100 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3089(a,1),331(a,1,2,1))]. 3102 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(199,a,1625,a(flip),b,3085,a(flip)),flip(a)]. 3103 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2923(a,1),3085(a,1,1)),flip(a)]. 3104 T(K(x,y),T(x,z)) = K(x,y). [hyper(35,a,3095,a)]. 3105 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3095(a,1),217(a,1,1))]. 3107 T(K(x \ y,z),y / x) = K(x \ y,z). [para(170(a,1),3104(a,1,2))]. 3109 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2938(a,1),3093(a,1))]. 3110 K(x \ 1,y) != z | K(1 / x,y) = z. [para(63(a,1),3109(a,1,1,1))]. 3112 T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. [para(3096(a,2),19(a,1))]. 3113 T(K(x,y),T(T(x,z),u)) = K(x,y). [hyper(35,a,3097,a)]. 3115 K(x,T(y,x * y)) = K(x,y). [hyper(3109,a,3102,a),flip(a)]. 3116 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),3115(a,1,2,2))]. 3117 T(x / y,K(y \ x,z)) = x / y. [hyper(35,a,3107,a)]. 3118 K(1 / x,y) != z | K(x \ 1,y) = z. [para(3084(a,1),260(a,1))]. 3121 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(709,a,3094,a),flip(a)]. 3122 T(x,R(K(x,y),z,u)) = x. [hyper(188,a,3094,a)]. 3123 K(x,R(K(x,y),z,u)) = 1. [hyper(67,a,3094,a,b,85,a),flip(a)]. 3124 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3122(a,1),164(a,1,2,1))]. 3125 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(188,a,3099,a)]. 3126 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,85,a(flip),b,2978,a)]. 3127 x / K(y,x) != z | K(y,x) \ x = z. [para(3126(a,1),262(a,1,1)),flip(b)]. 3128 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(2829,a,3038,a)]. 3129 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(590,a,3038,a)]. 3130 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3038(a,1),558(a,1,1))]. 3132 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1217(a,2),3062(a,1,1)),flip(a)]. 3133 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1218(a,1),3062(a,1,1)),flip(a)]. 3135 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(199,a,2499,a(flip),b,3079,a)]. 3136 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(150(a,1),3135(a,2,1))]. 3137 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3040(a,1),3136(a,1,1))]. 3138 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3137(a,1),60(a,1,2))]. 3139 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1213(a,1),3138(a,1,2,2))]. 3140 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(980(a,1),2948(a,1,1))]. 3142 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2215(a,1),3065(a,2,2))]. 3143 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(2931(a,1),3065(a,1,1))]. 3144 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2213(a,1),3066(a,2,1))]. 3145 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2215(a,1),3067(a,2,1))]. 3146 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(106(a,1),3142(a,1,2,2))]. 3147 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2250,a,3144,a)]. 3148 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(68,a,14,a(flip),b,3145,a),flip(a)]. 3149 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2762,a,3148,a)]. 3150 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3148(a,1),2850(a,1,2))]. 3151 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(2005(a,1),3149(a,1,2))]. 3152 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3003(a,1),964(a,1,2)),flip(a)]. 3153 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),3152(a,1,1)),flip(a)]. 3154 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(199,a,2184,a,b,3006,a(flip)),flip(a)]. 3155 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3075(a,2),14(a,1,2))]. 3156 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(3155(a,1),1526(a,1,1)),flip(a)]. 3157 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3155(a,1),2586(a,1,1))]. 3158 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(18,a,2868,a,b,2784,a),flip(a)]. 3159 T(1 / (1 / x),y / (y * x)) = x. [hyper(154,a,3158,a,b,xx)]. 3161 T(1 / (1 / x),(y / x) / y) = x. [para(16(a,1),3159(a,1,2,2))]. 3162 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3161(a,1),151(a,1,2,2))]. 3163 (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(1646(a,2),3162(a,1,2))]. 3164 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2353(a,1),2867(a,1,2))]. 3165 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2995(a,1),3017(a,2,2,1,2))]. 3166 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(199,a,2981,a(flip),b,3041,a)]. 3167 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,2792,a,b,3140,a)]. 3168 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(199,a,355,a(flip),b,3167,a(flip)),flip(a)]. 3170 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3137(a,1),3166(a,1,1,2))]. 3171 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(17,a,3165,a(flip),b,3170,a(flip)),flip(a)]. 3172 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(2986(a,2),868(a,1,1,2))]. 3173 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(365(a,1),3007(a,2,1))]. 3174 (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(182(a,1),2655(a,1,1)),flip(a)]. 3175 T(x,K(y,x) \ 1) = x. [para(3132(a,1),2979(a,1,2))]. 3176 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3132(a,1),3053(a,1,3))]. 3177 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3175(a,1),105(a,1,2))]. 3178 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3177(a,1),145(a,2,1)),flip(a)]. 3179 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(199,a,3176,a(flip),b,3178,a)]. 3181 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(60(a,1),3151(a,2,1,1,2))]. 3182 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2757,a,3181,a)]. 3183 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(13(a,1),3182(a,1,2)),flip(a)]. 3184 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3183(a,1),14(a,1,2))]. 3185 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2114(a,2),3184(a,1,2))]. 3186 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2835(a,1),3184(a,1,2)),flip(a)]. 3187 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3186(a,1),926(a,1,2))]. 3188 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(2005(a,1),3164(a,1,2))]. 3189 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2404(a,1),2843(a,1,2))]. 3190 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3189(a,1),1815(a,2,2,1,2)),flip(a)]. 3192 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(105(a,2),3121(a,2,1,1,1))]. 3193 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2652(a,1),2768(a,1,2,1))]. 3194 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2653(a,1),3193(a,1,2,1))]. 3195 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2652(a,1),2769(a,1,2,1))]. 3196 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(199,a,423,a,b,2891,a),flip(a)]. 3197 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2211(a,1),3143(a,2,2,2))]. 3198 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(60(a,1),3197(a,2,2))]. 3200 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2873(a,1),3185(a,1,2))]. 3201 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(106(a,2),3200(a,1,2,1))]. 3202 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2709(a,1),3188(a,2,1))]. 3203 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [hyper(218,a,2623,a),flip(a)]. 3204 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) != u | x * (y * (1 / (1 / (y \ z)))) = u. [para(2623(a,1),218(a,1))]. 3205 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(14(a,1),3203(a,1,2,2,2,2))]. 3206 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(152(a,1),2910(a,2,1))]. 3207 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(199,a,289,a(flip),b,3206,a)]. 3210 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3207(a,1),221(a,1,2)),flip(a)]. 3211 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(69,a,12,a(flip),b,3210,a)]. 3212 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(199,a,2596,a(flip),b,3211,a(flip))]. 3213 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(68,a,3212,a(flip),b,2307,a)]. 3214 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(63(a,1),3212(a,1,2))]. 3215 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1280(a,1),3214(a,1,1))]. 3216 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1011(a,1),3215(a,1,1)),flip(a)]. 3217 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2744(a,1),2871(a,1,2)),flip(a)]. 3218 K(K(x \ 1,x) * y,(x \ 1) \ 1) != z | K(y,x) = z. [para(3217(a,2),260(a,1))]. 3219 K(x,(y \ 1) \ 1) != z | K(K(y,y \ 1) * x,y) = z. [para(2745(a,1),3218(a,1,1))]. 3220 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) != z | K(x \ y,x) = z. [para(2869(a,1),3218(a,1,1))]. 3221 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(749(a,1),3043(a,1,2)),flip(a)]. 3222 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(199,a,2056,a(flip),b,3221,a(flip))]. 3223 (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(2213(a,1),3174(a,2,2,1))]. 3224 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(199,a,163,a(flip),b,3223,a)]. 3225 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(2943(a,1),3224(a,1,2))]. 3226 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(2943(a,1),3225(a,1,2))]. 3228 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3226(a,1),2864(a,1,2))]. 3230 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(63(a,1),3228(a,1,2,1,1,1))]. 3231 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,2927,a,b,3230,a),flip(a)]. 3232 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(69,a,3187,a(flip),b,3230,a(flip))]. 3233 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3231(a,1),2850(a,1,2))]. 3234 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2863(a,1),2884(a,1,1))]. 3235 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2813(a,1),3234(a,1,1))]. 3236 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(2883,a,3235,a)]. 3238 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3153(a,1),3154(a,1,1))]. 3239 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(742,a,3238,a)]. 3240 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),3239(a,1,1)),flip(a)]. 3241 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(68,a,3080,a(flip),b,3240,a)]. 3242 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2949(a,1),3240(a,1,2)),flip(a)]. 3243 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1554(a,1),3241(a,1,1,2)),flip(a)]. 3244 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3001(a,1),3241(a,1,1)),flip(a)]. 3245 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(199,a,3016,a(flip),b,3242,a)]. 3247 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3245(a,1),526(a,2,1))]. 3248 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3135(a,1),3244(a,1,2)),flip(a)]. 3249 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(150(a,1),3248(a,1,1,2)),flip(a)]. 3250 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(150(a,1),3249(a,1,2,1)),flip(a)]. 3251 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3250(a,1),14(a,1,2))]. 3252 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),3243(a,2,1))]. 3254 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2501(a,1),3252(a,1,2))]. 3255 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(14(a,1),3247(a,1,2,2,2))]. 3257 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3028(a,1),3255(a,1,2,2)),flip(a)]. 3258 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1350(a,1),3257(a,2,2))]. 3260 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(199,a,173,a(flip),b,3258,a)]. 3261 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(270,a,3260,a),flip(a)]. 3263 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(199,a,3010,a(flip),b,3261,a)]. 3264 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1554(a,1),3263(a,1,1,2))]. 3265 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(13(a,1),3264(a,1,1)),flip(a)]. 3267 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1554(a,1),3265(a,1,2)),flip(a)]. 3268 L(K(x,y),x \ 1,x) = K(x,y). [hyper(199,a,13,a(flip),b,3267,a)]. 3271 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(68,a,3268,a(flip),b,173,a),flip(a)]. 3272 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1366,a,3271,a)]. 3273 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(68,a,3271,a(flip),b,1365,a)]. 3274 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(3271(a,1),20(a,1))]. 3275 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(3272(a,1),254(a,1,2)),flip(b)]. 3276 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3272(a,1),384(a,1,2))]. 3277 K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. [para(3272(a,1),391(a,1,1)),flip(a)]. 3278 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(199,a,1559,a(flip),b,3156,a)]. 3279 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(199,a,3050,a,b,3278,a(flip)),flip(a)]. 3280 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(199,a,42,a,b,3279,a(flip)),flip(a)]. 3281 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2033(a,1),3280(a,1,1)),flip(a)]. 3282 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(68,a,919,a,b,3281,a)]. 3284 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(199,a,2058,a(flip),b,3282,a(flip)),flip(a)]. 3285 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3282(a,1),2503(a,1,1)),flip(a)]. 3286 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(199,a,3155,a,b,3284,a),flip(a)]. 3287 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1737(a,2),3286(a,1,2))]. 3288 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3285(a,1),2462(a,1))]. 3289 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2051(a,1),2772(a,1,1))]. 3290 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3063(a,1),3289(a,1,1))]. 3291 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(63(a,1),3290(a,2,2))]. 3294 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3291(a,1),2850(a,1,2))]. 3295 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1270(a,1),3046(a,2,1))]. 3296 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3233(a,1),3130(a,1,2))]. 3297 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3296(a,1),403(a,1))]. 3298 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(952(a,1),2677(a,2,1))]. 3299 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(199,a,2378,a(flip),b,3298,a)]. 3300 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(199,a,3063,a(flip),b,3299,a(flip)),flip(a)]. 3302 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(199,a,2782,a(flip),b,3300,a(flip)),flip(a)]. 3303 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3302(a,1),1974(a,1,1))]. 3304 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3302(a,2),2636(a,1,2))]. 3305 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3064(a,1),3303(a,1,1))]. 3306 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(199,a,2764,a(flip),b,3305,a(flip)),flip(a)]. 3307 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(199,a,2918,a,b,3306,a)]. 3308 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(101(a,1),3306(a,2,1,1,2))]. 3309 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3306(a,2),2899(a,1,2))]. 3310 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(199,a,143,a,b,3307,a),flip(a)]. 3311 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3307(a,2),63(a,1,1))]. 3312 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3307(a,2),107(a,1,1))]. 3313 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(106(a,2),3307(a,2,2,1)),flip(a)]. 3314 x * (y * ((x \ y) / y)) = T(y,R(x \ 1,x,y)). [hyper(199,a,995,a,b,3309,a),flip(a)]. 3315 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(199,a,3050,a(flip),b,3309,a)]. 3316 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(146(a,2),3309(a,2,2)),flip(a)]. 3318 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(63(a,1),3311(a,1,1,1))]. 3319 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(199,a,1800,a,b,3316,a(flip)),flip(a)]. 3320 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(13(a,1),3314(a,1,2,2,1)),flip(a)]. 3321 R(x,1 / x,y) \ y = (x \ 1) * y. [para(63(a,1),3318(a,2,1,1))]. 3322 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3321(a,1),60(a,1,2)),flip(a)]. 3323 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(199,a,143,a,b,3322,a)]. 3324 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3323(a,1),1972(a,1,1))]. 3325 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3310(a,2),3319(a,2,2)),flip(a)]. 3326 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(199,a,1972,a(flip),b,3324,a(flip))]. 3327 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(826,a,3326,a),flip(a)]. 3328 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3327(a,2),88(a,1,2,2))]. 3329 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(199,a,42,a,b,3312,a(flip)),flip(a)]. 3330 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1546(a,1),3325(a,2,1))]. 3331 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2823(a,1),3329(a,1,1))]. 3332 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(199,a,914,a(flip),b,3331,a(flip)),flip(a)]. 3333 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(106(a,2),3332(a,2,1,1)),flip(a)]. 3334 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3330(a,2),3092(a,1))]. 3335 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3308(a,1),440(a,1,1))]. 3336 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2287,a,3335,a)]. 3337 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3202(a,1),2786(a,1,1))]. 3338 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(845(a,1),3337(a,2,1,2))]. 3339 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2754(a,1),2775(a,1,2)),flip(a)]. 3340 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(199,a,30,a,b,3339,a)]. 3341 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3339(a,2),436(a,1))]. 3342 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(106(a,2),3340(a,1,2,2))]. 3343 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(2005(a,1),3342(a,1,3))]. 3344 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(60(a,1),3343(a,2,3))]. 3345 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2831(a,1),2832(a,2,2,1,1))]. 3346 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(199,a,3012,a(flip),b,3345,a)]. 3348 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3012(a,1),3346(a,1,1))]. 3349 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3348(a,1),3074(a,1,1))]. 3350 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3071(a,1),3349(a,2,1))]. 3352 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3350(a,1),14(a,1,2))]. 3354 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(199,a,2266,a(flip),b,3352,a(flip)),flip(a)]. 3355 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2808(a,1),2844(a,1,2)),flip(a)]. 3356 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3355(a,2),403(a,1))]. 3357 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3049(a,1,1,1))]. 3359 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3357(a,1),20(a,1)),flip(a)]. 3360 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2919(a,1),2925(a,1,1))]. 3361 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3088(a,1),3139(a,1,2)),flip(a)]. 3362 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3133(a,1),3361(a,1,2))]. 3363 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(13(a,1),3362(a,1,2,1,2,2,1))]. 3364 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(105(a,1),3363(a,1,2,1,2))]. 3365 x * (K(y,x) \ 1) = x / K(y,x). [para(26(a,2),3364(a,1,2,1))]. 3366 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(3127,a,3365,a(flip)),flip(a)]. 3367 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(73,a,3366,a)]. 3368 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(68,a,3366,a(flip),b,3177,a)]. 3369 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3366(a,1),19(a,1))]. 3370 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [para(3132(a,2),3366(a,1,2))]. 3371 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3366(a,1),3179(a,1,1))]. 3373 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3368(a,1),846(a,1,2,1))]. 3374 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3371(a,1),14(a,1,2))]. 3375 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3374(a,1),2738(a,1,1)),flip(a)]. 3376 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(199,a,229,a(flip),b,3373,a(flip))]. 3377 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(199,a,355,a(flip),b,3376,a(flip))]. 3378 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(199,a,3377,a(flip),b,3375,a)]. 3379 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3378(a,1),2510(a,1,2,2))]. 3380 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(499,a,3379,a),flip(a)]. 3381 K(x,(y \ 1) \ 1) = K(x,y). [hyper(559,a,3380,a(flip))]. 3382 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3380(a,2),559(a,1))]. 3383 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(3220,a,3381,a),flip(a)]. 3384 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(3219,a,3381,a)]. 3385 K(x,1 / y) = K(x,y \ 1). [para(63(a,1),3381(a,1,2,1)),flip(a)]. 3386 K(x,1 / (1 / y)) = K(x,y). [para(127(a,1),3381(a,1,2)),flip(a)]. 3387 K(x,T(y,1 / y)) = K(x,y). [para(1993(a,2),3381(a,1,2))]. 3388 K(x,T(y / z,z / y)) = K(x,y / z). [para(2035(a,2),3381(a,1,2))]. 3389 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2369(a,2),3381(a,1,2))]. 3390 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(2911(a,1),3381(a,1,2)),flip(a)]. 3391 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3381(a,1),3035(a,2,2))]. 3393 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3385(a,1),2315(a,2,1))]. 3394 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3385(a,2),3035(a,2,2))]. 3396 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(2627(a,1),3386(a,1,2))]. 3397 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2391(a,2),3384(a,1,1))]. 3398 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2874(a,1),3383(a,1,1))]. 3399 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [para(3385(a,1),3393(a,1,2))]. 3400 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2840(a,1),3397(a,1,1,1))]. 3401 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(199,a,3328,a,b,3390,a(flip)),flip(a)]. 3402 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(199,a,874,a,b,3398,a(flip)),flip(a)]. 3403 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [para(3381(a,1),3391(a,1,2))]. 3404 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(199,a,2853,a,b,3403,a(flip)),flip(a)]. 3405 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3012(a,1),3190(a,2,1))]. 3406 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(63(a,1),3196(a,1,1,3))]. 3407 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2685(a,1),3406(a,1,1))]. 3408 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(30(a,2),1792(a,2,2,1,1))]. 3409 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1534(a,1),3408(a,1,1))]. 3410 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1564(a,1),3409(a,1,1,1))]. 3411 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(436,a,3410,a),flip(a)]. 3412 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(646(a,1),3411(a,2,1,2))]. 3413 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(1018(a,1),3411(a,1,2))]. 3414 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1506(a,1),3412(a,1,2))]. 3415 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(128(a,1),3414(a,2,1,2))]. 3416 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(2001(a,2),3415(a,2,1))]. 3417 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(12(a,1),3413(a,1,2,2)),flip(a)]. 3418 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3287(a,1),3417(a,1,1)),flip(a)]. 3419 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3284(a,1),3418(a,2,1))]. 3420 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(199,a,3157,a(flip),b,3419,a)]. 3421 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,2001,a(flip),b,3420,a)]. 3422 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(199,a,3216,a,b,3421,a(flip)),flip(a)]. 3423 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3422(a,1),60(a,1,2)),flip(a)]. 3424 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2215(a,1),3422(a,1,1,1))]. 3425 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(60(a,1),3423(a,1,1,2)),flip(a)]. 3426 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3425(a,1),127(a,1,1,1))]. 3427 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3425(a,1),2897(a,1,2))]. 3428 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(60(a,1),3426(a,1,1,1,1)),flip(a)]. 3429 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(60(a,1),3427(a,1,2,1)),flip(a)]. 3430 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(443(a,1),3428(a,2,1,1))]. 3431 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3428(a,2),2226(a,1,1))]. 3432 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2686(a,1),3428(a,2,1,1))]. 3433 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(634(a,1),3424(a,1,1)),flip(a)]. 3434 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(199,a,2706,a,b,3432,a(flip)),flip(a)]. 3435 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(212,a,3431,a),flip(a)]. 3436 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2225(a,1),3435(a,2,1))]. 3437 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(199,a,3336,a(flip),b,3436,a(flip)),flip(a)]. 3438 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(199,a,2895,a(flip),b,3436,a(flip)),flip(a)]. 3439 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3428(a,2),3438(a,1,1))]. 3440 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3077(a,1),3439(a,2,1))]. 3441 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3430(a,1),3440(a,1,1))]. 3442 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3077(a,1),3437(a,2,1))]. 3443 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),3441(a,1,2,1))]. 3444 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1356,a,3443,a),flip(a)]. 3446 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(121(a,1),2642(a,1,2,2,2,2))]. 3447 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(3204,a,3446,a),flip(a)]. 3449 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3205(a,1),3447(a,2,2))]. 3450 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(52(a,1),3449(a,2,2,2,2,2,2,2))]. 3452 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(60(a,1),3450(a,2,2,2,2,2))]. 3453 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(2001(a,2),3452(a,2,2,2))]. 3454 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3453(a,1),19(a,1)),flip(a)]. 3455 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(2512(a,1),1279(a,1,1,2))]. 3456 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(16(a,1),3455(a,1,1,2))]. 3458 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1272(a,1),3456(a,1,1)),flip(a)]. 3460 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3458(a,1),3295(a,1,1))]. 3461 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(68,a,3460,a(flip),b,3254,a)]. 3462 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2532,a,3461,a),flip(a)]. 3463 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3462(a,1),2373(a,1,1))]. 3464 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3288,a,3463,a)]. 3465 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(199,a,3222,a,b,3464,a(flip)),flip(a)]. 3466 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3464(a,1),2448(a,1,1))]. 3467 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3465(a,1),14(a,1,2))]. 3468 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(199,a,3423,a(flip),b,3467,a)]. 3469 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1954,a,b,3468,a),flip(a)]. 3470 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(300,a,3469,a)]. 3471 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3470(a,1),275(a,1))]. 3472 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3470(a,1),3442(a,1,1))]. 3473 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3472(a,1),20(a,1))]. 3474 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3085(a,1),3472(a,1,1))]. 3475 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3085(a,1),3466(a,1,1)),flip(a)]. 3476 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2043(a,1),3474(a,2,1,2))]. 3478 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(199,a,3469,a(flip),b,3475,a(flip))]. 3479 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(199,a,3085,a(flip),b,3478,a)]. 3480 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3479(a,1),101(a,1,1)),flip(a)]. 3481 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(391,a,3480,a)]. 3482 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,3476,a(flip),b,3480,a)]. 3483 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,2234,a,b,3482,a)]. 3486 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3483(a,1),3476(a,1,1)),flip(a)]. 3487 L(x,y,K(z,z \ 1)) = x. [para(3483(a,1),3481(a,1,3))]. 3490 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(199,a,2511,a,b,3487,a(flip)),flip(a)]. 3491 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(199,a,2747,a(flip),b,3487,a(flip)),flip(a)]. 3492 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(199,a,94,a(flip),b,3487,a(flip)),flip(a)]. 3493 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3487(a,1),92(a,1,2))]. 3494 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3487(a,1),347(a,1,2)),flip(a)]. 3495 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3487(a,1),456(a,1,2))]. 3496 L(x,y,K(z,1 / z)) = x. [para(2000(a,2),3487(a,1,3))]. 3497 L(x,y,K(z \ 1,z)) = x. [para(2005(a,1),3487(a,1,3))]. 3498 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3487(a,1),2081(a,1,2)),flip(a)]. 3499 L(x,y,K(z \ u,u \ z)) = x. [para(2349(a,1),3487(a,1,3))]. 3501 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3496(a,1),92(a,1,2))]. 3502 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3496(a,1),347(a,1,2)),flip(a)]. 3503 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3356,a,3497,a),flip(a)]. 3505 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(199,a,2770,a(flip),b,3497,a(flip))]. 3506 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(199,a,2299,a(flip),b,3497,a(flip))]. 3507 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(199,a,94,a(flip),b,3497,a(flip)),flip(a)]. 3508 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3497(a,1),92(a,1,2))]. 3509 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3497(a,1),456(a,1,2))]. 3511 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3497(a,1),3356(a,1))]. 3512 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3499(a,1),92(a,1,2))]. 3514 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(60(a,1),3503(a,1,3)),flip(a)]. 3515 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3297,a,3514,a)]. 3516 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(2778,a,3506,a)]. 3518 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(2816(a,2),3511(a,1))]. 3520 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3494(a,1),2237(a,1))]. 3521 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2237,a,3498,a)]. 3522 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(199,a,94,a(flip),b,3515,a(flip))]. 3523 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(521,a,3521,a),flip(a)]. 3524 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(572(a,1),3521(a,1,1)),flip(a)]. 3525 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3523(a,1),63(a,1,1))]. 3527 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(69,a,3486,a(flip),b,101,a)]. 3528 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2753(a,1),3486(a,1,1)),flip(a)]. 3531 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2740(a,1),3491(a,1,1)),flip(a)]. 3532 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2740(a,1),3492(a,1,1)),flip(a)]. 3534 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(427,a,3493,a)]. 3536 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(199,a,3416,a,b,3534,a(flip)),flip(a)]. 3538 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3495(a,1),2758(a,1,1))]. 3539 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(199,a,2243,a(flip),b,3501,a)]. 3541 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(12(a,1),3505(a,2,2))]. 3542 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2839(a,1),3505(a,1,1)),flip(a)]. 3543 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3505(a,1),2861(a,1))]. 3544 (K(x \ 1,x) * y) \ z = y \ (K(x,x \ 1) * z). [para(2745(a,1),3507(a,1,2))]. 3546 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3508(a,1),30(a,2,1,1)),flip(a)]. 3547 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(2246(a,1),3508(a,1,1))]. 3548 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3509(a,1),107(a,1,1))]. 3549 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(704(a,1),3509(a,1,1)),flip(a)]. 3550 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1967(a,1),3509(a,1,1)),flip(a)]. 3551 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2762,a,3549,a)]. 3552 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(181(a,1),3550(a,1,2)),flip(a)]. 3553 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(326,a,3528,a),flip(a)]. 3554 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2246(a,1),3553(a,1,1))]. 3555 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(199,a,106,a,b,3531,a),flip(a)]. 3556 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(69,a,81,a(flip),b,3539,a)]. 3558 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3473,a,3547,a)]. 3560 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(69,a,62,a(flip),b,3547,a),flip(a)]. 3561 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3547(a,1),24(a,2,1)),flip(a)]. 3562 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3547(a,1),28(a,2,1)),flip(a)]. 3563 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3547(a,1),403(a,1,2,2))]. 3565 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3547(a,1),2842(a,1,1))]. 3566 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3471,a,3558,a)]. 3567 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3558(a,1),1275(a,1,2))]. 3571 K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. [para(3566(a,1),1947(a,1,1))]. 3572 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(199,a,446,a,b,3556,a(flip)),flip(a)]. 3573 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(68,a,3571,a(flip),b,2838,a),flip(a)]. 3574 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(3571(a,1),2744(a,1,1))]. 3578 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3542(a,1),3405(a,1,2,1)),flip(a)]. 3579 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2857(a,1),3548(a,1,1))]. 3580 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,2841,a,b,3567,a),flip(a)]. 3582 R(x,y,z) / x = x \ R(x,y,z). [hyper(1019,a,3580,a)]. 3583 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [hyper(521,a,3580,a),flip(a)]. 3585 (x \ R(x,y,z)) * x = R(x,y,z). [para(3580(a,1),1016(a,1,1))]. 3587 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3582(a,1),453(a,1,1))]. 3588 T(x,x \ R(x,y,z)) = x. [hyper(239,a,3585,a)]. 3589 ((x \ y) \ 1) \ R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [hyper(199,a,1538,a(flip),b,3583,a)]. 3590 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(199,a,3213,a(flip),b,3573,a)]. 3592 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2368(a,1),3512(a,1,1))]. 3593 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3587(a,2),2218(a,1,1,1,1))]. 3594 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3592(a,2),139(a,1)),flip(b)]. 3595 x \ (y * R(y \ x,z,z \ 1)) = a((x \ y) \ 1,z,z \ 1). [hyper(604,a,3589,a),flip(a)]. 3596 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(199,a,2298,a(flip),b,3527,a(flip))]. 3597 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(2005(a,1),3596(a,1,2)),flip(a)]. 3598 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(2005(a,1),3597(a,1,3)),flip(a)]. 3599 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3508(a,1),3546(a,1,1))]. 3600 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(199,a,3509,a(flip),b,3599,a(flip)),flip(a)]. 3601 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3600(a,1,2)),flip(a)]. 3602 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(199,a,3195,a(flip),b,3601,a)]. 3603 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2759,a,3601,a(flip))]. 3604 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1947(a,1),3603(a,1,2,1))]. 3605 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2745(a,1),3603(a,1,2,1)),flip(a)]. 3606 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(199,a,2234,a(flip),b,3605,a)]. 3607 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3103(a,1),3578(a,2,2))]. 3608 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2736(a,1),3602(a,1,1)),flip(a)]. 3609 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3608(a,1,1,2,1)),flip(a)]. 3610 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(69,a,3609,a,b,xx)]. 3611 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(443(a,1),3609(a,2,1,2))]. 3612 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(3609(a,2),1404(a,1,1))]. 3613 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2686(a,1),3609(a,2,1,2))]. 3614 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(64(a,1),3610(a,1,1,1)),flip(a)]. 3616 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3614(a,1),14(a,1,2)),flip(a)]. 3617 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3616(a,2),2572(a,1,1))]. 3618 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(69,a,3611,a(flip),b,329,a)]. 3619 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(199,a,3338,a(flip),b,3613,a(flip))]. 3620 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(69,a,3613,a(flip),b,2683,a),flip(a)]. 3621 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3613(a,1),3407(a,1,1)),flip(a)]. 3622 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3619(a,1,1)),flip(a)]. 3623 x * (y \ T(y,x)) = (y * x) / y. [hyper(79,a,3622,a),flip(a)]. 3624 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(69,a,14,a(flip),b,3622,a),flip(a)]. 3625 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(18,a,105,a(flip),b,3622,a)]. 3626 (x \ T(x,y)) * y = (x * y) / x. [hyper(2980,a,3623,a)]. 3627 x \ ((y * x) / y) = y \ T(y,x). [hyper(73,a,3623,a)]. 3628 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(68,a,358,a(flip),b,3623,a),flip(a)]. 3629 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(68,a,150,a(flip),b,3623,a)]. 3630 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,3048,a,b,3623,a),flip(a)]. 3631 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,3042,a,b,3623,a),flip(a)]. 3632 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3623(a,1),2313(a,1,1))]. 3633 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3011(a,1),3623(a,1,2)),flip(a)]. 3634 ((x * y) / x) \ y = T(x,y) \ x. [para(3623(a,1),3171(a,1,1))]. 3635 (T(x,y) \ x) * ((x * y) / x) = y. [para(3623(a,1),3251(a,1,2))]. 3636 T(x,T(y,x)) \ x = y \ T(y,x). [para(3625(a,1),3171(a,1,1)),flip(a)]. 3637 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3626(a,1),126(a,1,2,1))]. 3638 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3627(a,1),408(a,1,1))]. 3639 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3627(a,1),1479(a,1,1)),flip(a)]. 3640 x * (T(y,x) \ y) = T(x,T(y,x)). [para(3629(a,2),14(a,1,2))]. 3641 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3629(a,2),3004(a,1,1))]. 3642 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3631(a,1),515(a,1,1,1))]. 3643 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3631(a,1),3078(a,1,1))]. 3644 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(14(a,1),3634(a,1,1,1)),flip(a)]. 3645 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3634(a,1),1265(a,1,2,2,1))]. 3646 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3359,a,3635,a)]. 3647 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(3636(a,1),14(a,1,2))]. 3648 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3636(a,1),2956(a,1,1))]. 3649 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [hyper(199,a,3370,a(flip),b,3640,a(flip))]. 3650 T(x,T(y,x)) \ x != z | y \ T(y,x) = z. [para(3647(a,1),254(a,1,2)),flip(b)]. 3651 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3011(a,1),3648(a,1,1))]. 3652 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(106(a,1),3624(a,1,2,2))]. 3653 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3652(a,1),254(a,1,2)),flip(b)]. 3654 K(T(x,y),y) = K(x,(x * y) / x). [hyper(199,a,3643,a(flip),b,3638,a(flip)),flip(a)]. 3655 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(150(a,1),3638(a,2,2)),flip(a)]. 3656 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(150(a,1),3654(a,2,2))]. 3657 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(199,a,2994,a(flip),b,3639,a)]. 3658 T(x,R(y,y \ 1,x)) != z | T(x,y) = z. [para(3639(a,2),3013(a,1))]. 3660 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3310(a,1),3657(a,1,2))]. 3661 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3657(a,1),3334(a,1))]. 3662 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(199,a,3320,a(flip),b,3660,a(flip)),flip(a)]. 3663 T(x,x / (x * y)) = T(x,y \ 1). [hyper(199,a,3315,a(flip),b,3660,a(flip)),flip(a)]. 3664 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(68,a,3660,a(flip),b,3314,a)]. 3665 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1893,a,3663,a)]. 3668 x * K(x,(x / y) / x) = T(x,y \ 1). [hyper(199,a,1549,a,b,3663,a(flip)),flip(a)]. 3669 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(69,a,3663,a(flip),b,1889,a)]. 3670 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(68,a,3663,a(flip),b,1549,a),flip(a)]. 3671 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3663(a,1),1890(a,1,2)),flip(a)]. 3672 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3663(a,1),1905(a,1,1,2))]. 3673 T(x,R(y \ 1,y,x)) != z | T(x,y \ 1) = z. [para(3310(a,1),3658(a,1,2))]. 3674 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(68,a,3664,a,b,251,a)]. 3675 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(68,a,3664,a,b,xx)]. 3676 x \ T(y,x \ 1) != y * z | (x \ y) / y = z. [para(3664(a,2),19(a,1))]. 3677 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(63(a,1),3664(a,2,2,1))]. 3678 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(313(a,2),3664(a,2,2)),flip(a)]. 3679 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(3664(a,2),103(a,1,1,1)),flip(a)]. 3680 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(181(a,1),3668(a,1,2,2,1)),flip(a)]. 3681 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(3668(a,1),254(a,1,2)),flip(b)]. 3682 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(60(a,1),3669(a,2,2,1))]. 3683 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(63(a,1),3669(a,1,1,2))]. 3684 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3669(a,2),145(a,2,1))]. 3685 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3670(a,1),2584(a,1,1))]. 3687 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(107(a,1),3628(a,1,2))]. 3688 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(199,a,3644,a,b,3687,a(flip)),flip(a)]. 3689 x / (x / y) = y * (T(y,y \ x) \ y). [para(3688(a,2),14(a,1,2)),flip(a)]. 3691 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(13(a,1),3689(a,2,2,1,2))]. 3692 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(199,a,1022,a,b,3630,a(flip)),flip(a)]. 3693 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(199,a,2600,a(flip),b,3630,a(flip)),flip(a)]. 3694 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3630(a,1),1933(a,2,2,1))]. 3695 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3630(a,1),1903(a,2,2,1))]. 3696 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3671(a,1),2735(a,2,1,2))]. 3697 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(199,a,870,a(flip),b,3677,a(flip)),flip(a)]. 3698 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(68,a,3683,a,b,xx)]. 3699 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(199,a,983,a(flip),b,3691,a(flip)),flip(a)]. 3700 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3691(a,2),19(a,1))]. 3702 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3699(a,1),1220(a,2,2,1,2))]. 3703 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(63(a,1),3678(a,2,2,2))]. 3704 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1399(a,1),3633(a,2,2))]. 3705 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(17,a,869,a,b,3662,a),flip(a)]. 3706 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(199,a,3670,a(flip),b,3672,a),flip(a)]. 3707 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3680(a,2),19(a,1))]. 3708 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3697(a,1),378(a,1,2))]. 3709 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(199,a,2882,a(flip),b,3705,a(flip))]. 3710 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3033(a,1),3706(a,1,2,2,1)),flip(a)]. 3711 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(143(a,2),3709(a,1,2))]. 3712 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(69,a,3711,a(flip),b,736,a),flip(a)]. 3713 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3641(a,1),790(a,1,1))]. 3714 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(199,a,3670,a(flip),b,3685,a)]. 3715 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(199,a,1402,a(flip),b,3620,a(flip)),flip(a)]. 3716 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3630(a,1),3693(a,1,1))]. 3717 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3670(a,1),3694(a,1,1))]. 3718 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3326(a,1),3703(a,1,2))]. 3719 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3718(a,1),3401(a,1,2)),flip(a)]. 3720 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(199,a,3402,a(flip),b,3719,a),flip(a)]. 3721 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(199,a,2859,a,b,3704,a(flip)),flip(a)]. 3722 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3704(a,2),19(a,1))]. 3723 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(199,a,3632,a(flip),b,3712,a(flip)),flip(a)]. 3724 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(199,a,1637,a(flip),b,3723,a(flip)),flip(a)]. 3725 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),3724(a,1,1,1)),flip(a)]. 3726 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),3725(a,1,1,1)),flip(a)]. 3727 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(199,a,221,a(flip),b,3607,a),flip(a)]. 3728 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),3713(a,2,1))]. 3729 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(3518,a,3646,a)]. 3730 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2822(a,1),3729(a,2,1))]. 3731 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(199,a,3726,a(flip),b,3730,a(flip))]. 3732 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3731(a,1),2494(a,1,2,1))]. 3733 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(212,a,3612,a),flip(a)]. 3734 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(784(a,1),3733(a,1,2))]. 3735 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(105(a,1),3734(a,1,2,2)),flip(a)]. 3736 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(199,a,3714,a,b,3710,a)]. 3737 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2899(a,1),3736(a,2,1,2))]. 3738 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3621(a,2,1,1,2))]. 3739 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(63(a,1),3738(a,2,2))]. 3740 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(199,a,1388,a(flip),b,3702,a(flip))]. 3741 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(105(a,1),3740(a,2,1,2))]. 3742 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3634(a,1),3645(a,2,2))]. 3743 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3579(a,2),3543(a,1))]. 3744 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2648(a,1),3696(a,1,1,1))]. 3745 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3551(a,1),3744(a,1,1,1))]. 3746 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(107(a,1),3745(a,1,1))]. 3747 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3675(a,1),3746(a,2,1))]. 3748 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(199,a,16,a(flip),b,3747,a)]. 3749 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(18,a,2751,a(flip),b,3747,a),flip(a)]. 3752 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3748(a,1),2700(a,1,1)),flip(a)]. 3753 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(3749(a,1),3486(a,1,1)),flip(a)]. 3754 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3753(a,1),2929(a,1,2))]. 3755 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(3753(a,1),2930(a,1,1))]. 3756 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3547(a,1),3562(a,1,2))]. 3757 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(199,a,3509,a(flip),b,3565,a(flip)),flip(a)]. 3758 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(719,a,3756,a)]. 3759 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(199,a,3497,a(flip),b,3758,a(flip))]. 3761 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2246(a,2),3759(a,1,3))]. 3762 L(x,y,(1 / z) \ u) = L(x,y,(z \ 1) \ u). [para(2836(a,1),3759(a,1,3))]. 3763 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2825(a,1),3761(a,1,3)),flip(a)]. 3764 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(2005(a,1),3524(a,2,2))]. 3765 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(60(a,1),3764(a,1,1))]. 3766 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(199,a,3748,a(flip),b,3765,a)]. 3767 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(241(a,1),3766(a,1,2,2,2))]. 3768 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(199,a,3552,a(flip),b,3767,a(flip)),flip(a)]. 3771 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3768(a,1),3528(a,1,2,1))]. 3772 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(199,a,2849,a(flip),b,3771,a(flip)),flip(a)]. 3773 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3772(a,1),3739(a,1,1))]. 3774 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(3773(a,1),19(a,1))]. 3775 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3547(a,1),3561(a,1,2,1))]. 3776 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3508(a,1),3775(a,1,2))]. 3777 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(720,a,3776,a)]. 3778 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(199,a,3497,a(flip),b,3777,a(flip))]. 3780 a(1 / x,y,z) = a(x \ 1,y,z). [para(666(a,1),3778(a,1,1)),flip(a)]. 3781 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(69,a,3780,a(flip),b,174,a)]. 3782 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(3781(a,2),3626(a,2,1)),flip(a)]. 3783 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(3781(a,2),3721(a,1,1))]. 3784 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3783(a,2),19(a,1))]. 3785 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(638(a,1),3782(a,2,1))]. 3786 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1399(a,1),3785(a,2,1))]. 3787 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(199,a,3735,a(flip),b,3786,a)]. 3788 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(3784,a,3787,a)]. 3789 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(60(a,1),3788(a,1,1,1,2)),flip(a)]. 3790 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(199,a,3754,a(flip),b,3789,a(flip))]. 3791 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(199,a,3773,a(flip),b,3790,a(flip))]. 3792 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3617(a,1),212(a,1))]. 3793 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3792,a,3695,a)]. 3794 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3665(a,1),3793(a,1,1)),flip(a)]. 3795 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2899(a,1),3794(a,1,2,1,2)),flip(a)]. 3796 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2899(a,1),3795(a,1,1)),flip(a)]. 3797 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),3796(a,1,2,2)),flip(a)]. 3798 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),3797(a,1,2)),flip(a)]. 3799 L(x,y \ T(y,z),y) = x. [hyper(643,a,3798,a)]. 3801 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(79,a,3798,a)]. 3802 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,926,a,b,3798,a)]. 3803 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(17,a,948,a(flip),b,3798,a)]. 3804 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,924,a(flip),b,3798,a)]. 3806 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3629(a,2),3798(a,1,2,1))]. 3809 L(x,y \ T(y,z),y) = u / (x \ u). [hyper(199,a,60,a,b,3799,a)]. 3810 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(68,a,3799,a(flip),b,3240,a)]. 3812 L(x,T(y,T(z,y)) \ y,z) = x. [para(3636(a,2),3799(a,1,2))]. 3813 L(x,T(y,z) \ y,(y * z) / y) = x. [para(149(a,1),3812(a,1,2,1,2))]. 3814 L(x,y \ T(y,z),y) != u | u = x. [para(3809(a,2),261(a,1))]. 3816 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(68,a,3813,a(flip),b,3742,a),flip(a)]. 3817 R(x,x \ T(x,y),z) = x. [hyper(657,a,3801,a)]. 3818 R(x,x \ (K(y,x) \ x),z) = x. [para(3649(a,1),3817(a,1,2,2))]. 3819 R(x,K(y,x) \ 1,z) = x. [para(3367(a,1),3818(a,1,2))]. 3820 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(199,a,3717,a(flip),b,3802,a(flip))]. 3821 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(199,a,3354,a(flip),b,3802,a(flip))]. 3822 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(79,a,3804,a)]. 3823 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3804(a,1),254(a,1,2)),flip(b)]. 3827 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3008,a,3822,a)]. 3828 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3822(a,1),3728(a,1,1)),flip(a)]. 3830 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(199,a,3173,a(flip),b,3827,a(flip)),flip(a)]. 3831 (T(x,y) \ x) * (x * y) = y * x. [hyper(17,a,978,a(flip),b,3806,a)]. 3832 x * ((T(y,x) \ y) * z) != u * z | T(x,T(y,x)) = u. [para(3806(a,2),20(a,1))]. 3833 K(x,y) = T(T(y,x) \ y,y * x). [hyper(154,a,3831,a,b,85,a),flip(a)]. 3834 (x * y) / (y * x) = T(y,x) \ y. [hyper(79,a,3831,a)]. 3835 T(x,y / x) \ x = y / (x * (y / x)). [hyper(69,a,16,a(flip),b,3831,a),flip(a)]. 3837 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),3834(a,1,2)),flip(a)]. 3838 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3834(a,2),2494(a,1,2,1)),flip(a)]. 3839 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(199,a,3732,a(flip),b,3838,a),flip(a)]. 3840 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1635(a,1),3839(a,1,2))]. 3841 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3816(a,1),14(a,1,2))]. 3842 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2957(a,1),3816(a,1,2))]. 3843 (x * (y / x)) / y = (x \ y) \ (y / x). [para(107(a,1),3837(a,1,1)),flip(a)]. 3844 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(3653,a,3843,a(flip)),flip(a)]. 3845 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(199,a,3692,a(flip),b,3844,a(flip))]. 3846 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(199,a,3642,a,b,3841,a(flip)),flip(a)]. 3847 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3842(a,1),3741(a,1,2,1))]. 3848 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(14(a,1),3823(a,1,2))]. 3849 R(K(x,y),x,z) = K(x,y). [hyper(199,a,3655,a,b,3828,a)]. 3851 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3849(a,1),101(a,1,1)),flip(a)]. 3852 L(x,y,K(y,z)) = x. [hyper(391,a,3851,a)]. 3853 a(K(x,y),x,z) = 1. [hyper(67,a,3851,a(flip),b,83,a),flip(a)]. 3854 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3091(a,1),3851(a,1,1))]. 3855 L(x,y,K(y,z)) = 1 * x. [hyper(279,a,3852,a),flip(a)]. 3860 L(x,y,K(y,z)) != u | u = x. [para(3855(a,2),70(a,1))]. 3862 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1042,a,3830,a),flip(a)]. 3864 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3845(a,1),3005(a,1,1))]. 3865 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3013,a,3864,a),flip(a)]. 3866 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),3865(a,1,2,2))]. 3867 T(x,(x / y) \ 1) = T(x,x \ y). [para(63(a,1),3865(a,1,2,2)),flip(a)]. 3868 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3865(a,1),152(a,1,2))]. 3869 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(3865(a,1),181(a,1,2))]. 3871 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(3865(a,1),3688(a,1,1)),flip(a)]. 3872 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3865(a,1),3674(a,1,1))]. 3873 (x / y) \ T(x,x \ y) = x * (y / x). [para(3867(a,1),3677(a,1,2))]. 3874 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(63(a,1),3868(a,1,2,2))]. 3875 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(2899(a,1),3869(a,1,2))]. 3876 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),3873(a,2,2))]. 3877 ((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(3873(a,1),1734(a,1,1,2,1))]. 3878 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(352,a,3866,a),flip(a)]. 3879 x / T(y * x,y \ 1) = (y * x) \ x. [para(3866(a,1),181(a,1,2))]. 3880 x * ((x * y) * (y / (x * y))) = ((x * y) \ y) \ y. [hyper(199,a,3662,a,b,3878,a(flip)),flip(a)]. 3881 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(199,a,2899,a(flip),b,3878,a(flip)),flip(a)]. 3882 (x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z. [para(3874(a,1),19(a,1)),flip(a)]. 3883 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),3876(a,1,2,2))]. 3884 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(2804(a,1),3872(a,2,2))]. 3885 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(199,a,3628,a(flip),b,3862,a(flip)),flip(a)]. 3886 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3862(a,1),3648(a,1,1)),flip(a)]. 3887 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(199,a,3871,a(flip),b,3885,a(flip)),flip(a)]. 3888 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(199,a,1047,a,b,3887,a),flip(a)]. 3889 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(199,a,845,a(flip),b,3887,a)]. 3891 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3887(a,2),28(a,2,1)),flip(a)]. 3892 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(3888(a,1),1049(a,1))]. 3893 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3888(a,2),2956(a,1,1))]. 3894 T(x,y) \ x = y \ T(y,x). [para(2899(a,1),3889(a,1,1))]. 3895 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(199,a,3628,a(flip),b,3894,a)]. 3896 (x * y) / x = y * (T(y,x) \ y). [para(3894(a,2),3623(a,1,2)),flip(a)]. 3897 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3894(a,2),3798(a,1,2,1))]. 3898 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3894(a,2),3802(a,1,1)),flip(a)]. 3899 K(x,y) = T(x \ T(x,y),y * x). [para(3894(a,1),3833(a,2,1))]. 3900 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(199,a,3689,a,b,3896,a)]. 3901 T(x * (T(x,y) \ x),y) = x. [para(3896(a,1),149(a,1,1))]. 3902 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3896(a,2),3842(a,1,2)),flip(a)]. 3903 T(x / (x / y),y \ x) = y. [para(3689(a,2),3901(a,1,1))]. 3905 T(x,x \ y) = y / (y / x). [para(3903(a,1),47(a,1,1))]. 3906 T(x / (x / (x / y)),y) = x / y. [para(63(a,1),3903(a,1,2))]. 3907 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3903(a,1),105(a,1,2)),flip(a)]. 3909 x / (x / y) = (y \ x) \ x. [hyper(352,a,3905,a),flip(a)]. 3910 T(x \ y,(x \ y) \ y) = y / x. [para(60(a,1),3905(a,2,2))]. 3911 T(x,x \ y) \ y = y / x. [para(3905(a,2),63(a,1,1))]. 3913 x / (x / y) != z | (y \ x) \ x = z. [para(3905(a,1),352(a,1))]. 3914 T(x / (x / y),x) = L(y,y \ x,y). [para(3905(a,1),621(a,1,1))]. 3915 ((x \ y) \ y) \ y = y / x. [para(60(a,1),3909(a,1,2)),flip(a)]. 3917 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(199,a,170,a,b,3915,a),flip(a)]. 3918 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(199,a,3706,a,b,3899,a),flip(a)]. 3919 (x * (y / x)) / x = y / (y / (y / x)). [para(3906(a,1),150(a,1,1,2))]. 3920 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(3910(a,1),621(a,1,1)),flip(a)]. 3921 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(3917(a,1),649(a,1,1))]. 3922 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(3914(a,2),40(a,2,1)),flip(a)]. 3923 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(3914(a,2),387(a,1,2))]. 3924 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(60(a,1),3893(a,1,1,1,2)),flip(a)]. 3925 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(199,a,3835,a(flip),b,3895,a(flip)),flip(a)]. 3926 T(x,T(y,x)) = T(x,y). [hyper(3832,a,3897,a)]. 3927 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,992,a,b,3897,a)]. 3928 T(x,y) * T(y,x) = x * y. [para(2955(a,1),3897(a,1,2)),flip(a)]. 3929 T(x,y) \ (x * y) = T(y,x). [hyper(353,a,3926,a)]. 3930 (x / T(y,x)) * y = T(x,y). [hyper(199,a,1121,a,b,3926,a(flip)),flip(a)]. 3932 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(199,a,3840,a(flip),b,3926,a(flip))]. 3933 T(x,y) / y = x / T(y,x). [hyper(69,a,3926,a(flip),b,1121,a)]. 3934 T(x,y) / (T(y,x) \ x) = y. [hyper(69,a,3926,a(flip),b,960,a)]. 3935 T(x,y) \ y = x \ T(y,x). [hyper(68,a,3926,a(flip),b,960,a),flip(a)]. 3936 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3926(a,1),38(a,1,1)),flip(a)]. 3937 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(38(a,1),3926(a,1,2))]. 3938 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3926(a,1),40(a,1,1)),flip(a)]. 3939 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),3926(a,1,2))]. 3940 T(x,y / x) = T(x,x \ y). [para(107(a,1),3926(a,1,2)),flip(a)]. 3942 (x * y) / T(y,x) = T(x,y). [para(3926(a,1),183(a,1,2))]. 3943 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3926(a,1),164(a,1,2,1))]. 3944 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3926(a,1),165(a,1,2,1))]. 3945 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3926(a,1),330(a,1,2,1))]. 3946 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3926(a,1),1610(a,1,2)),flip(a)]. 3947 K(T(x,y),T(y,x)) = K(x,y). [para(3926(a,1),3656(a,1,1))]. 3948 T(x,y) \ x != z | y \ T(y,x) = z. [para(3926(a,1),3650(a,1,1))]. 3949 (x / (y * x)) \ T(x,y) = x * y. [para(3926(a,1),3883(a,1,2))]. 3950 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3928(a,1),24(a,2,2,1)),flip(a)]. 3952 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(3928(a,1),427(a,2,2))]. 3953 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),3929(a,1,1)),flip(a)]. 3954 (T(x,y) / y) \ x = T(y,x). [para(3933(a,2),63(a,1,1))]. 3955 (x / T(y,x)) * y != z | T(x,y) = z. [para(3933(a,1),207(a,1,1)),flip(b)]. 3956 T(x * (y / x),x) = x * (y / T(x,y)). [para(3933(a,1),1325(a,2,2))]. 3957 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(38(a,1),3934(a,1,2,1))]. 3958 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(3935(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(3935(a,1),84(a,1,1,2,1))]. 3960 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3935(a,1),1184(a,1,1,1))]. 3961 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(3935(a,1),1740(a,1,2,1))]. 3962 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(3935(a,1),2185(a,1,2,1))]. 3963 T(x,y / x) = (x \ y) \ y. [hyper(199,a,106,a(flip),b,3940,a)]. 3964 (x * (y / x)) / T(x,x \ y) = y / x. [para(3940(a,1),122(a,1,2))]. 3966 (x * (y / x)) * x = y * T(x,x \ y). [para(3940(a,1),700(a,2,2))]. 3967 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(3940(a,2),3698(a,1,2,1))]. 3968 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3942(a,1),1126(a,1,1)),flip(a)]. 3970 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3963(a,1),700(a,2,2))]. 3971 T(x,(1 / x) * y) = T(x,x \ y). [hyper(199,a,2822,a,b,3932,a(flip)),flip(a)]. 3972 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(3932(a,1),3727(a,2,1,2))]. 3973 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(40(a,2),3936(a,1,2))]. 3974 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(3926(a,1),3937(a,1,2)),flip(a)]. 3975 T(x,y) / (x * y) = x / (y * x). [para(3949(a,1),60(a,1,2))]. 3976 x / T(y,(1 / y) * x) = y \ x. [para(3971(a,2),181(a,1,2))]. 3977 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(199,a,146,a,b,3975,a)]. 3978 T(x,x \ y) / y = x / ((x \ y) * x). [para(14(a,1),3975(a,1,2))]. 3979 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(60(a,1),3976(a,1,2,2,1))]. 3980 T(x,T(y,x)) != z | T(x,y) = z. [para(1121(a,1),3955(a,1))]. 3982 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(570,a,3977,a)]. 3983 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(199,a,3841,a,b,3898,a),flip(a)]. 3984 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(3919(a,1),767(a,1,1))]. 3985 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3661,a,3924,a),flip(a)]. 3986 (x * y) \ (y * T(x,x \ y)) != z | a(x,y / x,x) = z. [para(3966(a,1),832(a,1,2))]. 3987 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(3664(a,2),3966(a,1,1)),flip(a)]. 3988 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(154,a,3970,a,b,14,a)]. 3990 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(3865(a,1),3978(a,1,1))]. 3991 (x \ y) / T(x \ 1,y) = (x \ 1) \ (x \ y). [para(14(a,1),3979(a,1,2,2))]. 3992 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(3979(a,1),63(a,1,1)),flip(a)]. 3993 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(107(a,1),3982(a,1,3)),flip(a)]. 3994 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3369,a,3985,a)]. 3995 K(x,(x * y) / x) = K(y,x) \ 1. [para(13(a,1),3994(a,1,1,1)),flip(a)]. 3996 K(T(x,y),y) = K(y,x) \ 1. [hyper(199,a,3654,a,b,3995,a(flip)),flip(a)]. 3997 K(T(x,y),y) \ 1 = K(y,x). [para(150(a,1),3995(a,1,2)),flip(a)]. 3999 K(x,x \ y) \ 1 = K(y / x,x). [para(170(a,1),3996(a,1,1)),flip(a)]. 4000 K(T(x,y),y) * K(y,x) = 1. [para(3997(a,1),14(a,1,2))]. 4001 x * K(y,z) != 1 | K(T(z,y),y) = x. [para(3997(a,1),78(a,1,2)),flip(b)]. 4002 R(x,K(x,y),z) = x. [para(3997(a,1),3819(a,1,2))]. 4003 R(T(x,y),K(x,z),u) = T(x,y). [para(4002(a,1),42(a,2,1))]. 4004 (x * K(x,y)) * z = x * (K(x,y) * z). [para(4002(a,1),101(a,1,1)),flip(a)]. 4005 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4002(a,1),432(a,1,1,1)),flip(a)]. 4007 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4000(a,1),254(a,1,2)),flip(b)]. 4008 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4003(a,1),433(a,1,1,1)),flip(a)]. 4009 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(3996(a,2),4007(a,1))]. 4010 L(x,K(y,z),y) = x. [hyper(391,a,4004,a)]. 4011 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(199,a,3854,a(flip),b,4004,a(flip)),flip(a)]. 4016 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(270,a,4011,a),flip(a)]. 4018 K(x,y) * z != x * u | K(x,y) * (x \ z) = u. [para(4016(a,1),19(a,1))]. 4021 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,434,a,b,3946,a),flip(a)]. 4022 T(T(x,y),x * y) = R(x,y,x). [hyper(18,a,166,a,b,3946,a),flip(a)]. 4024 x * R(y,x,y) = T(y * x,y). [para(4021(a,1),987(a,1,2))]. 4025 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4021(a,1),1693(a,1,2)),flip(a)]. 4026 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3926(a,1),4021(a,1,3))]. 4027 x \ T(y * x,y) = R(y,x,y). [hyper(199,a,938,a,b,4022,a(flip)),flip(a)]. 4028 R(x,y,x) = L(x,y,x). [hyper(199,a,617,a(flip),b,4022,a(flip))]. 4029 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4024(a,1),254(a,1,2)),flip(b)]. 4030 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4024(a,1),2562(a,2,1))]. 4031 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),4027(a,1,2,1)),flip(a)]. 4032 L(R(x,y,x),y,x) = x. [para(4027(a,1),405(a,1,1))]. 4033 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(199,a,1613,a,b,4032,a(flip)),flip(a)]. 4034 (L(x,y,x) * y) * x = x * (y * x). [para(4032(a,1),432(a,1,1)),flip(a)]. 4035 (x * (y * x)) / x = L(x,y,x) * y. [hyper(79,a,4034,a)]. 4036 x * T(y,x * y) = L(y,x,y) * x. [hyper(18,a,1107,a,b,4034,a),flip(a)]. 4037 L(x,y,x) * y = T(y * x,x). [hyper(18,a,166,a,b,4034,a)]. 4038 x * T(y,y * x) = T(x * y,y). [hyper(620,a,4037,a)]. 4039 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(68,a,185,a(flip),b,4037,a)]. 4040 T(x,L(x,y,x) * y) = T(x,y * x). [para(4037(a,2),3926(a,1,2))]. 4041 T(x,y * x) = T(x,x * y). [hyper(17,a,1110,a,b,4038,a),flip(a)]. 4042 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(199,a,42,a,b,4041,a(flip)),flip(a)]. 4043 T(x,(x \ y) * x) = T(x,y). [para(14(a,1),4041(a,2,2))]. 4044 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4041(a,1),38(a,1,1))]. 4045 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4041(a,2),38(a,1,1))]. 4046 T(x,T(y,y * x)) = T(x,y). [para(4041(a,1),1140(a,1,2))]. 4047 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4043(a,1),215(a,1,2))]. 4048 R(T(x,y),x \ y,x) = T(x,x \ y). [para(4043(a,1),688(a,1,1))]. 4049 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4043(a,1),3930(a,1,1,2))]. 4050 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(4046(a,1),331(a,1,2,1))]. 4051 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(4046(a,1),332(a,1,2,1))]. 4052 T((x * y) / x,L(x,y,x)) = y. [hyper(1476,a,4035,a)]. 4053 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4035(a,2),623(a,1))]. 4054 T(x,L(y,x,y)) = T(x,y). [para(4052(a,1),184(a,1,1)),flip(a)]. 4055 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4054(a,1),105(a,1,2))]. 4058 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(199,a,4041,a(flip),b,4040,a)]. 4059 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(199,a,106,a(flip),b,4048,a)]. 4061 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4058(a,1),1145(a,1,1))]. 4063 K(x,x \ T(x * y,y)) = K(x,y). [para(4033(a,1),3116(a,1,2)),flip(a)]. 4064 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(199,a,1170,a,b,4063,a(flip))]. 4065 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(342,a,4044,a),flip(a)]. 4066 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4045(a,1),342(a,1))]. 4067 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4055(a,1),20(a,1)),flip(a)]. 4068 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4065(a,2),342(a,1))]. 4069 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3643(a,2),4009(a,1))]. 4070 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4024(a,1),4064(a,2,1))]. 4071 K(x \ T(x * y,x),x) = K(y,x). [hyper(199,a,1332,a(flip),b,4070,a),flip(a)]. 4072 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4071(a,1,1,2,1))]. 4073 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(149(a,1),4072(a,1,1,2)),flip(a)]. 4074 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(3902(a,2),4073(a,1,1))]. 4075 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4074(a,1),3847(a,1,2)),flip(a)]. 4077 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(3926(a,1),3957(a,1,2,1))]. 4078 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(199,a,3937,a(flip),b,3974,a)]. 4079 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(199,a,1261,a,b,3983,a(flip)),flip(a)]. 4081 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(199,a,3956,a(flip),b,3988,a(flip))]. 4082 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(3993(a,1),317(a,1,1))]. 4083 T(x,(y \ x) * y) = x. [hyper(1245,a,4075,a)]. 4084 T((x \ y) * x,y) = (x \ y) * x. [hyper(35,a,4083,a)]. 4085 T(x * (y / x),y) = x * (y / x). [para(64(a,1),4083(a,1,2))]. 4088 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4082(a,1),683(a,1,2))]. 4089 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(199,a,3651,a(flip),b,3886,a)]. 4090 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(3980,a,4089,a),flip(a)]. 4091 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3980,a,4090,a),flip(a)]. 4092 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4090(a,1),3980(a,1))]. 4094 T(x,(y / z) \ 1) = T(x,z / y). [para(63(a,1),4091(a,1,2,1)),flip(a)]. 4095 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4094(a,1),3737(a,1,1,2))]. 4096 T(x,y / z) != u | T(x,(z / y) \ 1) = u. [para(63(a,1),4092(a,1,2,1))]. 4097 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3932(a,1),3918(a,1,2,2,1))]. 4098 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4097(a,1),14(a,1,2)),flip(a)]. 4099 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3707,a,4098,a)]. 4100 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(199,a,3720,a,b,4099,a(flip)),flip(a)]. 4101 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(199,a,3381,a(flip),b,4100,a)]. 4102 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(199,a,3398,a,b,4101,a(flip)),flip(a)]. 4103 K((1 / x) * y,x) = K(x \ y,x). [para(13(a,1),4102(a,1,1,2)),flip(a)]. 4104 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(32(a,2),4103(a,2,1))]. 4105 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(60(a,1),4103(a,1,1,1)),flip(a)]. 4106 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(804(a,1),4104(a,1,1))]. 4107 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(199,a,3400,a(flip),b,4106,a(flip)),flip(a)]. 4108 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4107(a,1),3997(a,1,1))]. 4109 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4007,a,4108,a),flip(a)]. 4110 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(3306(a,2),4109(a,1,2,1)),flip(a)]. 4111 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(606(a,1),3943(a,1,2))]. 4112 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(199,a,4055,a(flip),b,4111,a)]. 4114 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4041(a,2),4112(a,1,2))]. 4115 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(755,a,4114,a)]. 4117 L(x,T(y,x),x) = L(x,y,x). [hyper(4067,a,4115,a),flip(a)]. 4118 (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(3944(a,1),158(a,1,1,2))]. 4119 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(199,a,4072,a(flip),b,3958,a)]. 4120 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [para(4119(a,1),14(a,1,2))]. 4122 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(2899(a,1),3990(a,1,1))]. 4123 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(18,a,1313,a(flip),b,4049,a)]. 4124 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4123(a,1),16(a,1,1))]. 4127 R(K(x,y),x,z) != u | K(x,y) = u. [para(3828(a,2),4069(a,1))]. 4128 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(3865(a,1),3987(a,1,2)),flip(a)]. 4129 L(x,K(y,z),L(y,u,w)) = x. [hyper(391,a,4005,a)]. 4130 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3098(a,1),4005(a,1,1))]. 4131 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(4122(a,2),63(a,1,1))]. 4132 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),4095(a,1,1,2,2))]. 4133 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(3044,a,4132,a),flip(a)]. 4134 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4133(a,1),3637(a,1,1))]. 4135 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(65(a,1),4134(a,1,2))]. 4138 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(106(a,1),4135(a,1,1,2))]. 4139 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4138(a,1),60(a,1,2))]. 4140 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(199,a,3844,a,b,4139,a),flip(a)]. 4141 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4085(a,2),4140(a,1,1))]. 4142 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3709(a,1),4141(a,1,1,1)),flip(a)]. 4143 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3802(a,1),3820(a,2,2))]. 4144 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2828(a,1),3821(a,1,2))]. 4145 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(199,a,3201,a(flip),b,4144,a(flip))]. 4146 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4124(a,1),3960(a,1,1))]. 4147 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4047,a,4146,a),flip(a)]. 4148 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(17,a,3923,a,b,4147,a)]. 4149 T(x / (x / y),x) \ x = x / T(y,x). [para(4148(a,1),63(a,1,1))]. 4150 x / T(y \ x,x) = T(x / y,x) \ x. [para(60(a,1),4149(a,1,1,1,2)),flip(a)]. 4151 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3968(a,2),3945(a,1))]. 4152 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(199,a,3803,a(flip),b,3972,a)]. 4153 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4133(a,1),3846(a,1,1))]. 4154 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3848,a,4153,a),flip(a)]. 4155 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3823,a,4153,a),flip(a)]. 4156 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(199,a,3898,a,b,4153,a)]. 4157 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4153(a,1),3848(a,1))]. 4159 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(199,a,3898,a,b,4154,a(flip)),flip(a)]. 4160 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(199,a,3927,a(flip),b,4154,a(flip)),flip(a)]. 4163 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(68,a,14,a(flip),b,4155,a)]. 4164 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(199,a,3898,a,b,4155,a(flip)),flip(a)]. 4165 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(68,a,4155,a(flip),b,3841,a),flip(a)]. 4167 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4155(a,1),3897(a,1,2)),flip(a)]. 4168 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(68,a,4134,a(flip),b,4156,a(flip)),flip(a)]. 4169 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(4164(a,2),492(a,1))]. 4170 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(199,a,92,a,b,4167,a)]. 4171 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(884,a,4160,a),flip(a)]. 4172 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4160(a,1),872(a,1))]. 4173 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(951,a,4165,a),flip(a)]. 4174 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(199,a,930,a(flip),b,4168,a)]. 4175 x * (T(x,y) \ z) != u | ((y * x) / y) * (x \ z) = u. [para(4174(a,1),1266(a,1))]. 4176 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(326,a,4170,a),flip(a)]. 4177 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(645,a,4173,a),flip(a)]. 4178 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4167(a,1),3950(a,1,1))]. 4179 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(597,a,4178,a),flip(a)]. 4180 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4178(a,1),597(a,1))]. 4181 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(3952,a,699,a)]. 4182 R(x,T(y,x),x) = R(x,y,x). [hyper(199,a,4026,a(flip),b,4181,a(flip)),flip(a)]. 4183 R(x,y / x,x) = R(x,x \ y,x). [para(107(a,1),4182(a,1,2)),flip(a)]. 4184 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(199,a,4031,a(flip),b,4183,a)]. 4185 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(199,a,3679,a(flip),b,4183,a(flip))]. 4186 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(15(a,1),4184(a,1,2)),flip(a)]. 4187 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4128(a,1),4185(a,2,1))]. 4188 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4078(a,1),4077(a,1,1))]. 4189 T(x,T(y,T(x,z))) = T(x,y). [hyper(199,a,3957,a(flip),b,4188,a(flip))]. 4192 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(171(a,1),4189(a,1,2,2))]. 4195 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4192(a,1),3922(a,1,1))]. 4196 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4152(a,1),4142(a,1,2)),flip(a)]. 4197 ((x \ y) * x) / y = y / (x * (y / x)). [para(4084(a,1),4196(a,1,1))]. 4198 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(199,a,3925,a(flip),b,4197,a)]. 4199 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(199,a,3791,a,b,4198,a(flip)),flip(a)]. 4200 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4199(a,1),3755(a,2,2))]. 4201 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3129(a,1),4145(a,1,1)),flip(a)]. 4202 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4201(a,1),3232(a,1,2))]. 4203 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4202(a,1),219(a,1,1)),flip(a)]. 4204 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(199,a,4163,a(flip),b,3891,a(flip)),flip(a)]. 4205 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(199,a,4143,a(flip),b,4204,a(flip)),flip(a)]. 4206 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4164(a,1),4205(a,1,2)),flip(a)]. 4207 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(199,a,173,a(flip),b,4206,a)]. 4209 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(199,a,3522,a(flip),b,4207,a(flip))]. 4211 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4209(a,1),3360(a,2,2))]. 4212 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1285,a,4030,a),flip(a)]. 4213 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2254(a,1),4212(a,1,1)),flip(a)]. 4214 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(69,a,4213,a(flip),b,1282,a)]. 4216 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2475(a,1),4214(a,1,1))]. 4217 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(199,a,4203,a(flip),b,4211,a)]. 4218 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3743,a,4217,a)]. 4220 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(199,a,80,a(flip),b,4218,a)]. 4222 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4220(a,1),2860(a,1,2))]. 4223 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4222(a,1),3757(a,1,2)),flip(a)]. 4225 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(199,a,2760,a(flip),b,4223,a)]. 4229 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4225(a,1,3))]. 4232 R(x,y,K(z \ 1,z)) = x. [hyper(199,a,3598,a(flip),b,4229,a(flip)),flip(a)]. 4233 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4229(a,1),101(a,1,1)),flip(a)]. 4239 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(199,a,3538,a(flip),b,4232,a(flip)),flip(a)]. 4240 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(199,a,3344,a(flip),b,4232,a(flip))]. 4241 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(199,a,2761,a(flip),b,4232,a(flip))]. 4242 R(x,y,K(z,1 / z)) = x. [para(63(a,1),4232(a,1,3,1))]. 4243 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4232(a,1),101(a,1,1)),flip(a)]. 4244 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4232(a,1),350(a,1,1)),flip(a)]. 4245 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4232(a,1),421(a,1,1))]. 4246 R(x,y,K(z,z \ 1)) = x. [para(2003(a,1),4232(a,1,3))]. 4247 R(x,y,K(1 / z,z)) = x. [para(2052(a,2),4232(a,1,3))]. 4248 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4232(a,1),2267(a,1,1))]. 4249 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4242(a,1),101(a,1,1)),flip(a)]. 4250 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3341,a,4246,a)]. 4253 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(199,a,3490,a(flip),b,4246,a(flip))]. 4254 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4246(a,1),101(a,1,1)),flip(a)]. 4255 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4246(a,1),350(a,1,1)),flip(a)]. 4257 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4246(a,1),2262(a,1,1))]. 4258 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4247(a,1),101(a,1,1)),flip(a)]. 4259 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4247(a,1),461(a,1,1))]. 4261 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4240(a,1),101(a,1,1))]. 4264 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(199,a,3427,a(flip),b,4253,a)]. 4266 T(x,y * K(z \ 1,z)) = T(x,y). [para(2005(a,1),4253(a,1,2,2))]. 4267 T(x,K(y,y \ 1) * z) = T(x,z). [para(2234(a,2),4253(a,1,2))]. 4268 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2293(a,1),4253(a,1,2))]. 4269 T(x,K(y \ 1,y) * z) = T(x,z). [para(2753(a,1),4253(a,1,2)),flip(a)]. 4270 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2754(a,1),4253(a,1,2))]. 4271 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2755(a,1),4253(a,1,2)),flip(a)]. 4272 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2792(a,1),4253(a,1,2))]. 4274 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2834(a,1),4253(a,1,2)),flip(a)]. 4275 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2839(a,1),4253(a,1,2))]. 4276 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2855(a,1),4253(a,1,2))]. 4277 T(x,T((y \ 1) \ 1,z) * u) = T(x,T(y,z) * u). [para(3224(a,1),4253(a,1,2))]. 4278 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(3304(a,1),4253(a,1,2))]. 4279 T(x,K(y,1 / y) * z) = T(x,z). [para(2000(a,2),4267(a,1,2,1))]. 4281 T(x,T(1 / y,z) * u) = T(x,T(y \ 1,z) * u). [para(3231(a,1),4269(a,1,2)),flip(a)]. 4282 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4271(a,1),4171(a,1,2,1))]. 4283 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3022(a,1),4274(a,1,2)),flip(a)]. 4284 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3035(a,1),4275(a,2,2))]. 4285 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(589,a,4276,a),flip(a)]. 4286 T(x,T(y,y \ 1) \ z) = T(x,y \ z). [para(106(a,2),4276(a,1,2,1))]. 4287 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3306(a,2),4276(a,1,2,1))]. 4288 K((x \ 1) * y,x \ y) = 1. [hyper(36,a,4285,a)]. 4289 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2251,a,4244,a)]. 4291 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4255(a,1),2649(a,1,1))]. 4292 L(x,K(y \ 1,y),z) = x. [hyper(391,a,4233,a)]. 4293 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(199,a,3547,a(flip),b,4233,a(flip)),flip(a)]. 4298 L(x,K(y,y \ 1),z) = x. [para(2003(a,1),4292(a,1,2))]. 4303 L(x,y * (1 / y),z) = x. [para(2001(a,1),4298(a,1,2))]. 4306 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [hyper(199,a,3494,a(flip),b,4239,a)]. 4307 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2246(a,2),4239(a,1,2))]. 4308 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4306(a,1),3427(a,1,2,1)),flip(a)]. 4310 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2733(a,1),4241(a,2,2))]. 4311 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2478,a,4243,a)]. 4312 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2251,a,4243,a)]. 4313 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(391,a,4243,a)]. 4316 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4243(a,1),3532(a,1,1))]. 4317 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4243(a,1),3547(a,1,1))]. 4318 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(199,a,1200,a,b,4311,a(flip)),flip(a)]. 4323 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2634(a,1),4313(a,1,1))]. 4325 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(199,a,3491,a,b,4245,a(flip)),flip(a)]. 4326 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(666(a,1),4245(a,1,2)),flip(a)]. 4327 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4326(a,1),4266(a,1,2)),flip(a)]. 4328 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(4327(a,1),181(a,1,2))]. 4330 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(2245,a,4249,a)]. 4331 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(18,a,3539,a(flip),b,4249,a)]. 4332 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3454,a,4254,a)]. 4334 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(391,a,4254,a)]. 4335 R(x * y,L(z,y,x),K(u,u \ 1)) \ (x * ((y * z) * K(u,u \ 1))) = L(z,y,x) * K(u,u \ 1). [para(4254(a,1),461(a,1,2))]. 4337 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(199,a,2614,a,b,4334,a(flip)),flip(a)]. 4340 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(68,a,4332,a(flip),b,2001,a(flip))]. 4342 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(68,a,4340,a(flip),b,2018,a(flip)),flip(a)]. 4343 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(199,a,2234,a,b,4257,a)]. 4345 L(K(1 / x,x),y,z) = K(1 / x,x). [hyper(391,a,4258,a)]. 4346 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(18,a,3574,a(flip),b,4291,a)]. 4347 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [para(4346(a,1),14(a,1,2))]. 4348 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(17,a,3536,a,b,4347,a),flip(a)]. 4349 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(73,a,4348,a)]. 4350 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(199,a,3590,a(flip),b,4349,a(flip)),flip(a)]. 4351 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(199,a,3573,a(flip),b,4349,a(flip)),flip(a)]. 4352 (x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1. [para(4351(a,1),14(a,1,2))]. 4353 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2759,a,4293,a)]. 4359 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4293(a,1),4248(a,1,2))]. 4360 (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(4312(a,1),411(a,1,1))]. 4361 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(199,a,2246,a,b,4325,a)]. 4362 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4325(a,2),4266(a,1,2))]. 4363 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2749(a,1),4362(a,1,2,1))]. 4364 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2878(a,1),4362(a,1,2,1)),flip(a)]. 4365 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(199,a,3544,a,b,4343,a(flip)),flip(a)]. 4367 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4343(a,2),2237(a,1))]. 4369 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2689(a,1),4353(a,1,2,2))]. 4370 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2745(a,1),4353(a,1,2,2))]. 4371 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(2806(a,1),4365(a,1,1)),flip(a)]. 4372 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4370(a,2),24(a,2,2,1)),flip(a)]. 4374 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4370(a,1),4325(a,1,1))]. 4375 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4323(a,1),282(a,1)),flip(b)]. 4376 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4323(a,2),4375(a,1))]. 4377 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4172,a,4282,a)]. 4378 T(x * (y / x),z) = x * (T(y,z) / x). [para(4377(a,1),14(a,1,2)),flip(a)]. 4379 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4377(a,1,2,1,2)),flip(a)]. 4380 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4377(a,2),16(a,1,1))]. 4381 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(60(a,1),4377(a,1,2,1,2))]. 4382 T((x \ y) * x,z) / x = x \ T(y,z). [para(59(a,1),4377(a,1,2,1)),flip(a)]. 4384 T(x * y,z) / x = x \ T(y * x,z). [para(194(a,1),4377(a,1,2,1)),flip(a)]. 4388 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(107(a,1),4378(a,2,2,1))]. 4390 T(x * (y / x),y \ z) = x * (((y \ z) \ z) / x). [para(106(a,1),4378(a,2,2,1))]. 4391 T(x * (y / x),x \ y) = x * T(y / x,y). [para(1150(a,1),4378(a,2,2))]. 4394 T(x * (y / x),K(y,z)) = x * (y / x). [para(3089(a,1),4378(a,2,2,1))]. 4395 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(3940(a,1),4378(a,2,2,1))]. 4396 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(876,a,4379,a),flip(a)]. 4397 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(199,a,799,a,b,4379,a),flip(a)]. 4398 (x \ T(x * y,z)) * x = T(y * x,z). [para(4379(a,1),16(a,1,1))]. 4399 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4379(a,1),107(a,1,1))]. 4400 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(85(a,1),4379(a,2,2,1))]. 4401 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4379(a,1),3715(a,1,2))]. 4402 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(199,a,2767,a,b,4380,a(flip)),flip(a)]. 4403 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(59(a,1),4380(a,1,1,2,1)),flip(a)]. 4408 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4394,a)]. 4409 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4408(a,1,2,2))]. 4410 ((x / y) \ T((x / y) * y,y)) * (x / y) = y \ (x * ((y \ x) \ x)). [hyper(199,a,3988,a(flip),b,4398,a)]. 4416 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4398(a,1),4043(a,1,2))]. 4418 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4403(a,2),20(a,1))]. 4419 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4403(a,1),105(a,1,2))]. 4421 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4403(a,2),87(a,1,1))]. 4422 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4409(a,1),215(a,1,2))]. 4423 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4388(a,1),105(a,1,2)),flip(a)]. 4424 T(x \ T(x * y,y),x) != z | R(y,x,y) = z. [para(4399(a,2),4029(a,1))]. 4425 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(107(a,1),4419(a,1,2,1,2)),flip(a)]. 4427 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(199,a,954,a(flip),b,4381,a)]. 4428 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(199,a,4378,a,b,4395,a)]. 4429 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1433(a,1),4397(a,2,1,1))]. 4430 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2762,a,4402,a),flip(a)]. 4433 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3792,a,4423,a),flip(a)]. 4434 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(145(a,2),4423(a,2,2,2,1))]. 4435 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(79,a,4425,a)]. 4436 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(199,a,3618,a,b,4425,a(flip)),flip(a)]. 4437 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(146(a,2),4425(a,1,1,1,2))]. 4438 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(4096,a,4428,a)]. 4440 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(2878(a,1),4430(a,1,1)),flip(a)]. 4441 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(13(a,1),4435(a,1,1,2,1,2))]. 4442 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4435(a,1),207(a,1,1)),flip(b)]. 4443 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4053,a,4441,a),flip(a)]. 4444 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3399(a,1),4284(a,1,2))]. 4445 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(2007(a,1),4310(a,1,1)),flip(a)]. 4447 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4318(a,1),14(a,1,2))]. 4449 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(4369(a,1),4267(a,1,2))]. 4450 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(199,a,1401,a,b,4401,a(flip)),flip(a)]. 4451 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(4440(a,1),4253(a,1,2)),flip(a)]. 4452 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(63(a,1),4451(a,1,2,1,1,1)),flip(a)]. 4453 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4447(a,1),2700(a,1,1))]. 4454 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4261(a,1),20(a,1))]. 4457 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3606(a,2),4264(a,1,2))]. 4458 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3563,a,4316,a),flip(a)]. 4459 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(69,a,4317,a(flip),b,101,a)]. 4460 ((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(4359(a,1),2285(a,1))]. 4461 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4442,a,4450,a)]. 4463 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3494(a,1),4457(a,1,2,1))]. 4464 ((x / y) \ T(x,y)) * (x / y) = y \ (x * ((y \ x) \ x)). [para(16(a,1),4410(a,1,1,2,1))]. 4465 x \ (y * ((x \ y) \ y)) = ((y * x) / y) * (y / x). [para(1162(a,1),4464(a,1,1)),flip(a)]. 4466 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [hyper(199,a,4081,a(flip),b,4465,a(flip))]. 4467 ((x * y) / x) * (x / y) != y * z | x / T(y,x) = z. [para(4466(a,2),19(a,1))]. 4468 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(60(a,1),4466(a,1,2)),flip(a)]. 4469 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(106(a,2),4468(a,1,2,2,1))]. 4470 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4258(a,1),4259(a,1,2))]. 4471 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4258(a,1),4470(a,1,2,2))]. 4472 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(403,a,4471,a)]. 4474 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3554(a,1),4308(a,1,2,1)),flip(a)]. 4475 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(199,a,4463,a(flip),b,4474,a(flip))]. 4477 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(199,a,4423,a(flip),b,4434,a(flip))]. 4478 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3609(a,2),4437(a,1,1))]. 4479 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(212,a,4478,a),flip(a)]. 4480 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(199,a,1642,a(flip),b,4469,a)]. 4481 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(199,a,4081,a(flip),b,4480,a)]. 4482 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4423(a,1),4433(a,2,1))]. 4483 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(63(a,1),4482(a,1,1,2)),flip(a)]. 4484 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4353(a,1),4458(a,1,2)),flip(a)]. 4485 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(199,a,28,a,b,4484,a)]. 4488 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1357(a,1),4485(a,1,2)),flip(a)]. 4489 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1358(a,1),4485(a,1,2)),flip(a)]. 4490 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2246(a,2),4485(a,1,2))]. 4491 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2682(a,1),4485(a,1,2)),flip(a)]. 4492 L(x,(1 / y) * z,u) = L(x,(y \ 1) * z,u). [para(2841(a,1),4485(a,1,2)),flip(a)]. 4493 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3147(a,1),4485(a,1,2))]. 4494 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3181(a,1),4485(a,1,2))]. 4495 L(x,T(1 / y,z),u) = L(x,T(y \ 1,z),u). [para(2216(a,1),4488(a,1,2)),flip(a)]. 4496 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(4489(a,1),92(a,1,2))]. 4498 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(4496(a,1),19(a,1)),flip(a)]. 4499 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3547(a,1),4459(a,1,2))]. 4500 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(199,a,4307,a(flip),b,4499,a(flip)),flip(a)]. 4501 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3599(a,1),4500(a,1,2))]. 4502 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(199,a,3603,a(flip),b,4501,a(flip))]. 4504 R(x,1 / y,z) = R(x,y \ 1,z). [para(666(a,1),4502(a,1,2)),flip(a)]. 4505 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1357(a,1),4502(a,1,2)),flip(a)]. 4507 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(4504(a,1),3433(a,1,2))]. 4508 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(4505(a,1),101(a,1,1))]. 4509 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(4508(a,1),20(a,1))]. 4510 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2822(a,1),4507(a,1,2,1))]. 4511 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(3839(a,1),4510(a,1,2,1)),flip(a)]. 4512 (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(1500(a,1),4118(a,1,1))]. 4513 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1069(a,1),4512(a,1,2))]. 4514 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(597,a,4513,a),flip(a)]. 4515 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(199,a,4179,a,b,4514,a(flip)),flip(a)]. 4516 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3926(a,1),4515(a,1,1))]. 4517 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3493(a,1),4372(a,1,1,2))]. 4518 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3493(a,1),4517(a,1,2))]. 4519 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4367,a,4518,a)]. 4520 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4374(a,1),4519(a,1,1))]. 4521 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),4520(a,1,1,1))]. 4522 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(199,a,2741,a(flip),b,4521,a(flip))]. 4524 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2234(a,1),4522(a,1,2))]. 4525 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(63(a,1),4483(a,2,2,2,1,1,2))]. 4526 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(63(a,1),4525(a,1,2))]. 4527 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = L(z,y,x) * K(u,u \ 1). [para(4246(a,1),4335(a,1,1))]. 4529 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = L(z,y,x) * K(u,u \ 1). [para(4254(a,1),4527(a,1,2,2))]. 4530 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(403,a,4529,a)]. 4531 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(199,a,2234,a,b,4530,a)]. 4532 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [hyper(2765,a,4530,a(flip))]. 4533 L(x,y,z) * K(x,x \ 1) = L((x \ 1) \ 1,y,z). [para(2037(a,1),4530(a,1,1)),flip(a)]. 4534 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(2080(a,1),4530(a,1,1)),flip(a)]. 4535 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(68,a,4533,a(flip),b,2017,a(flip))]. 4536 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [para(2000(a,2),4533(a,1,2))]. 4537 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4534(a,1),3525(a,1,1))]. 4538 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4534(a,1),3541(a,1,1)),flip(a)]. 4539 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(199,a,2061,a,b,4535,a(flip)),flip(a)]. 4540 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(4536(a,1),4330(a,2,2))]. 4541 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2177,a,4539,a)]. 4542 L(x,y,z) / x = x \ L(x,y,z). [hyper(79,a,4541,a)]. 4543 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(199,a,1462,a,b,4542,a(flip)),flip(a)]. 4544 T(1 / x,L(x,y,z)) = x \ 1. [hyper(154,a,4543,a,b,1003,a)]. 4546 T(x \ 1,L(x,y,z)) = 1 / x. [para(4544(a,1),47(a,1,1))]. 4547 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4531(a,2),4257(a,1,2))]. 4548 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(199,a,3194,a(flip),b,4532,a(flip)),flip(a)]. 4549 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2753(a,1),4532(a,1,2,1)),flip(a)]. 4551 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(15(a,1),4548(a,1,1,2,1,2))]. 4552 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4548(a,1),59(a,1,2,1)),flip(a)]. 4553 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(59(a,1),4548(a,1,1,2,1)),flip(a)]. 4554 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4552(a,2),4477(a,1,2))]. 4555 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4553(a,1),92(a,1,2))]. 4556 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(407(a,1),4553(a,2,1,2))]. 4557 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(409(a,1),4553(a,2,1,2))]. 4558 (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. [para(4553(a,1),218(a,1,2))]. 4559 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(199,a,1206,a(flip),b,4538,a(flip)),flip(a)]. 4560 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(199,a,2246,a(flip),b,4549,a)]. 4563 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [para(2246(a,1),4560(a,1,1))]. 4565 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(198(a,1),4555(a,1,2,1,2))]. 4566 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(68,a,4556,a(flip),b,173,a),flip(a)]. 4568 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(199,a,4461,a(flip),b,4566,a(flip)),flip(a)]. 4569 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(4568(a,1),16(a,1,1))]. 4570 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4568(a,1),207(a,1,1)),flip(b)]. 4572 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(199,a,4200,a(flip),b,4557,a(flip))]. 4573 x * (y \ (x / (x / y))) = (y \ x) * y. [para(111(a,1),4572(a,1,1,2)),flip(a)]. 4574 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,221,a,b,4573,a)]. 4575 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(199,a,4199,a,b,4574,a(flip)),flip(a)]. 4576 ((x \ y) * x) / y = K(x \ y,x). [hyper(199,a,4198,a,b,4574,a(flip)),flip(a)]. 4577 x / (x / y) = y * K(y \ x,y). [para(4574(a,1),14(a,1,2)),flip(a)]. 4579 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(199,a,3773,a,b,4576,a(flip)),flip(a)]. 4580 K(x \ y,x) * y = (x \ y) * x. [para(4576(a,1),16(a,1,1))]. 4582 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(199,a,3035,a(flip),b,4577,a),flip(a)]. 4583 (x * y) / ((x * y) / x) = x * K(y,x). [para(13(a,1),4577(a,2,2,1))]. 4585 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4577(a,1),3914(a,1,1))]. 4586 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4072(a,1),4577(a,2,2))]. 4587 K(x \ y,x) * ((x \ y) \ y) = x. [hyper(4018,a,4580,a)]. 4588 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4580(a,1),1636(a,2,2))]. 4591 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(13(a,1),4579(a,1,1,1)),flip(a)]. 4592 K(x,y) = T(y,x) \ y. [hyper(3700,a,4583,a),flip(a)]. 4593 K(x,y) = (x * y) / (y * x). [hyper(199,a,3834,a,b,4592,a)]. 4594 K(x,y) = ((y * x) / y) \ x. [hyper(199,a,3634,a,b,4592,a)]. 4595 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(199,a,3062,a,b,4592,a),flip(a)]. 4596 K(x,y) = y / T(y,x). [hyper(199,a,2953,a,b,4592,a)]. 4597 K(x,y) = (1 / T(y,x)) * y. [hyper(199,a,2951,a,b,4592,a)]. 4598 K(x,y) = y * (T(y,x) \ 1). [hyper(199,a,932,a,b,4592,a)]. 4599 K(x,y) = x \ T(x,y). [hyper(199,a,3894,a(flip),b,4592,a)]. 4600 x * T(x \ 1,y) = K(x \ 1,y). [hyper(199,a,3887,a(flip),b,4592,a),flip(a)]. 4603 K(x,y) / y = 1 / T(y,x). [hyper(69,a,4592,a,b,2951,a)]. 4604 K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1. [hyper(69,a,4592,a,b,2277,a)]. 4605 T(x,y) \ 1 = x \ K(y,x). [hyper(68,a,4592,a,b,932,a),flip(a)]. 4607 T(x,y) * K(y,x) = x. [para(4592(a,2),14(a,1,2))]. 4608 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4592(a,2,1)),flip(a)]. 4609 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4592(a,2,1)),flip(a)]. 4610 T(x,y) = x / K(y,x). [para(4592(a,2),60(a,1,2)),flip(a)]. 4612 x * K(y,z) != z | T(z,y) = x. [para(4592(a,2),78(a,1,2)),flip(b)]. 4613 x / K(y,x) != z | T(x,y) = z. [para(4592(a,2),261(a,1,2)),flip(b)]. 4615 ((x \ y) \ y) * K(x \ y,x) = x. [para(4592(a,2),272(a,1,2))]. 4616 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1606(a,1),4592(a,2,1))]. 4617 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4592(a,2),2485(a,1,2))]. 4618 K(x,y) * T(y,x) = y. [para(4592(a,2),2955(a,1,1))]. 4619 T(x,y) = K(y,x) \ x. [para(4592(a,2),2956(a,1,1)),flip(a)]. 4620 T(x,y) = (K(y,x) / x) \ 1. [para(4592(a,2),2952(a,1,1,1)),flip(a)]. 4622 K(x,y) * (y * x) = x * y. [para(4592(a,2),3831(a,1,1))]. 4624 (x * y) / x = y * K(x,y). [para(4592(a,2),3896(a,2,2))]. 4625 T(x * K(y,x),y) = x. [para(4592(a,2),3901(a,1,1,2))]. 4626 x * (K(x,y) * z) = T(x,y) * z. [para(4592(a,2),3897(a,1,2,1))]. 4627 K(x,y) != z | x \ T(x,y) = z. [para(4592(a,2),3948(a,1))]. 4628 T(x,y) * (x \ z) = K(x,y) * z. [para(4592(a,2),3898(a,2,1))]. 4629 K(x / y,z) * x = y * T(y \ x,z). [para(4592(a,2),3927(a,1,1))]. 4630 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4592(a,2),3892(a,1))]. 4631 x * (T(x,y) \ z) = K(y,x) * z. [para(4592(a,2),4154(a,1,1)),flip(a)]. 4632 K(x,y) * (T(y,x) * z) = y * z. [para(4592(a,2),4155(a,1,1))]. 4633 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(4592(a,2),4157(a,1,1))]. 4634 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(4596(a,2),2296(a,1,2))]. 4635 K(K(x,1 / x) * y,z) = z / T(z,y). [para(4279(a,1),4596(a,2,2))]. 4636 (T(x,y) * z) / (x * z) = K(x,y). [hyper(199,a,3822,a,b,4599,a),flip(a)]. 4637 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(199,a,3716,a,b,4599,a),flip(a)]. 4639 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(199,a,3632,a,b,4599,a)]. 4640 K(x,y) = ((x * y) / x) / y. [hyper(199,a,3631,a,b,4599,a)]. 4641 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(199,a,3630,a,b,4599,a),flip(a)]. 4642 K(x,y) = y \ ((x * y) / x). [hyper(199,a,3627,a,b,4599,a)]. 4643 K(x,y) = (1 / x) * T(x,y). [hyper(199,a,3010,a,b,4599,a)]. 4644 K(x,y) = T(x,y) / x. [hyper(199,a,2995,a,b,4599,a)]. 4645 K(x,y) = T(x,y) * (x \ 1). [hyper(199,a,847,a,b,4599,a)]. 4646 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(199,a,3706,a(flip),b,4599,a),flip(a)]. 4647 x * T(x \ 1,y) = K(1 / x,y). [hyper(199,a,638,a(flip),b,4599,a),flip(a)]. 4649 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(68,a,4599,a,b,3632,a)]. 4650 x \ T(x,y \ 1) = K(x,1 / y). [hyper(199,a,3385,a,b,4599,a(flip))]. 4652 T(x,y) = x * K(x,y). [para(4599(a,2),14(a,1,2)),flip(a)]. 4653 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4599(a,2,2)),flip(a)]. 4655 x * K(x,y) != z | T(x,y) = z. [para(4599(a,2),211(a,1,2)),flip(b)]. 4656 x * K(x,y) != z * u | z \ T(x,y) = u. [para(4599(a,2),328(a,1,2))]. 4658 x \ T(x,y \ x) = K(x,x / y). [para(1157(a,1),4599(a,2,2)),flip(a)]. 4659 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1605(a,1),4599(a,2,2))]. 4660 T(x,y) = K(x,y) * x. [para(4599(a,2),2994(a,1,1)),flip(a)]. 4661 K(x,y) * x != z | T(x,y) = z. [para(4599(a,2),3013(a,1,1))]. 4662 (x * K(y,x)) * y = y * x. [para(4599(a,2),3622(a,1,1,2))]. 4663 T(x,y) * K(y,T(x,y)) = x. [para(4599(a,2),3625(a,1,2))]. 4664 (x * y) / x = K(x,y) * y. [para(4599(a,2),3626(a,1,1)),flip(a)]. 4665 (x \ y) * K(x,x \ y) = y / x. [para(4599(a,2),3624(a,1,2))]. 4666 L(x,K(y,z),y) != u | u = x. [para(4599(a,2),3814(a,1,2))]. 4668 K(x,x \ y) * y = x * (y / x). [para(4599(a,2),3803(a,1,1))]. 4669 K(x,y) * (x * z) = T(x,y) * z. [para(4599(a,2),3804(a,1,1))]. 4670 x * (T(x,y) \ z) = K(x,y) \ z. [para(4599(a,2),3810(a,1,1)),flip(a)]. 4671 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4253(a,1),4599(a,2,2))]. 4673 T(x,y) \ x != z | K(y,x) = z. [para(4607(a,1),254(a,1,2)),flip(b)]. 4676 x * (y * K(x,y)) = T(x,y) * y. [para(4607(a,1),4167(a,1,2)),flip(a)]. 4678 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(4610(a,2),1387(a,1,1)),flip(a)]. 4679 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3386(a,1),4610(a,2,2)),flip(a)]. 4680 K(x,y / x) * (x \ y) = y / x. [para(107(a,1),4618(a,1,2))]. 4681 x / T(x,y) != z | K(y,x) = z. [para(4618(a,1),262(a,1,1)),flip(b)]. 4682 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(199,a,3924,a,b,4619,a),flip(a)]. 4683 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4619(a,2),2480(a,1,2,1))]. 4684 T(T(x * K(y,x),z),y) = T(x,z). [para(4625(a,1),38(a,1,1)),flip(a)]. 4685 T(x,y) = x * K(y,x). [para(4625(a,1),47(a,1,1))]. 4687 T(x,y) != z | x * K(y,x) = z. [para(4625(a,1),338(a,1,1)),flip(b)]. 4688 T(x * K(y,x),z) * y = y * T(x,z). [para(4625(a,1),163(a,1,2,1)),flip(a)]. 4689 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4625(a,1),187(a,1,1,2,1)),flip(a)]. 4690 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4625(a,1),165(a,1,2,1)),flip(a)]. 4691 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4625(a,1),373(a,1,1,2)),flip(a)]. 4692 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(4625(a,1),1539(a,1,1)),flip(a)]. 4693 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4625(a,1),1795(a,1,2,1)),flip(a)]. 4694 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4625(a,1),2215(a,1,2,2)),flip(a)]. 4695 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4625(a,1),2902(a,1,2)),flip(a)]. 4696 T(K(x,y) * y,x) = y. [para(2964(a,2),4625(a,1,1))]. 4697 T(x \ K(y,x \ 1),y) = x \ 1. [para(3035(a,1),4625(a,1,1))]. 4698 T(K(x,y \ 1) / y,x) = 1 / y. [para(3393(a,1),4625(a,1,1))]. 4699 T(x,y * K(x,y)) = T(x,y). [para(4625(a,1),3926(a,1,2)),flip(a)]. 4700 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4625(a,1),3939(a,1,2,1)),flip(a)]. 4705 T(x,(y / z) \ 1) = x * K(x,z / y). [hyper(4096,a,4652,a)]. 4706 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(199,a,4189,a,b,4652,a(flip)),flip(a)]. 4708 T(x,y) != x * z | K(x,y) = z. [para(4652(a,2),19(a,1))]. 4709 x \ T(x,y) != z | K(x,y) = z. [para(4652(a,2),254(a,1,2)),flip(b)]. 4710 L(K(x,y) \ z,K(x,y),x) = T(x,y) \ (x * z). [para(4652(a,2),94(a,2,1))]. 4711 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(4652(a,2),102(a,2,1))]. 4714 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(4652(a,2),391(a,2,2))]. 4715 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4652(a,2),427(a,2,2))]. 4717 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(4652(a,2),1195(a,1,2)),flip(a)]. 4718 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(4652(a,2),1558(a,1,1)),flip(a)]. 4719 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3082(a,1),4652(a,2,2)),flip(a)]. 4721 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(342,a,4660,a),flip(a)]. 4723 x * (K(y,x) * y) = y * x. [para(4660(a,1),105(a,1,2))]. 4727 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(4660(a,2),94(a,2,2))]. 4730 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4660(a,2),161(a,1,1))]. 4732 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4660(a,2),403(a,1,2,2))]. 4733 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4660(a,2),508(a,1,2))]. 4734 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(4660(a,2),1686(a,1,1))]. 4735 T(x,y) != z | x * K(x,y) = z. [para(4660(a,2),3092(a,1))]. 4736 T(x,y) = K(y,x) * x. [hyper(199,a,2964,a,b,4685,a)]. 4737 R(x,y,z) \ R(T(x,u),y,z) = K(u,R(x,y,z)). [hyper(68,a,42,a,b,4685,a(flip))]. 4738 K(x,y) = K(y,x). [hyper(17,a,4652,a(flip),b,4685,a(flip))]. 4740 T(x * K(y,x),x * y) = L(x,y,x). [para(4685(a,1),617(a,1,1))]. 4741 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4685(a,1),554(a,2,1)),flip(a)]. 4742 (x * K(x * y,x)) * y = T(x * y,x). [para(4685(a,1),927(a,1,1))]. 4743 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [para(4685(a,2),4283(a,2,2))]. 4744 K(x,y) = x / T(x,y). [hyper(199,a,4596,a(flip),b,4738,a)]. 4745 x * K(y,z) = x * K(z,y). [hyper(21,a,4738,a)]. 4746 (x * y) * K(x,y) = y * x. [para(4738(a,1),85(a,1,2))]. 4747 T(K(x,y),K(z,y)) = K(x,y). [para(4738(a,1),1911(a,1,2))]. 4748 T(K(x,y),K(x,z)) = K(x,y). [para(4738(a,1),1913(a,1,2))]. 4750 a(K(x,y),y,z) = 1. [para(4738(a,1),3853(a,1,1))]. 4751 R(x,K(y,x),z) = x. [para(4738(a,1),4002(a,1,2))]. 4752 L(x,K(y,z),z) = x. [para(4738(a,1),4010(a,1,2))]. 4753 K(x,y) * T(x,y) = x. [para(4738(a,1),4618(a,1,1))]. 4754 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4751(a,1),431(a,1,1,1)),flip(a)]. 4755 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(4751(a,1),433(a,1,1,1)),flip(a)]. 4756 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(4752(a,1),218(a,1,2))]. 4761 K(x,y) = x / ((y * x) / y). [para(185(a,1),4744(a,2,2))]. 4762 K(x \ K(x,y),x) = K(x \ 1,x). [para(4744(a,2),2253(a,1,1,2))]. 4763 x / (y / (y / x)) = K(x,x \ y). [para(3905(a,1),4744(a,2,2)),flip(a)]. 4764 K(x \ y,x) * (y / x) = x \ y. [para(170(a,1),4753(a,1,2))]. 4765 x / T(x,y) != z | K(x,y) = z. [para(4753(a,1),262(a,1,1)),flip(b)]. 4766 L(x \ T(y,z),x,K(y,z)) = (K(y,z) * x) \ y. [para(4753(a,1),94(a,2,2))]. 4767 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(196(a,2),4753(a,1,2))]. 4769 K(x,y) = x * (((y * x) / y) \ 1). [hyper(199,a,1262,a,b,4594,a)]. 4770 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(68,a,4594,a,b,1262,a),flip(a)]. 4772 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(69,a,2347,a(flip),b,4597,a(flip))]. 4774 K(x \ R(x,y,z),x) = (1 / x) * x. [para(3588(a,1),4597(a,2,1,2))]. 4775 T(x,y) \ 1 = x \ K(x,y). [hyper(68,a,4738,a,b,4598,a(flip)),flip(a)]. 4777 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4598(a,2),28(a,2,2,2)),flip(a)]. 4778 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4598(a,2),93(a,1,2,2)),flip(a)]. 4780 T(x,y) = 1 / (x \ K(y,x)). [para(4605(a,1),60(a,1,2)),flip(a)]. 4781 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4605(a,1),261(a,1,2)),flip(b)]. 4782 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4605(a,1),2187(a,1,2,1))]. 4783 T(x,x \ K(y,x)) = T(x,x \ 1). [para(4605(a,1),2229(a,1,2))]. 4784 x * (y * z) != z * y | K(z,y) = x. [para(4622(a,1),20(a,1)),flip(a)]. 4785 (x * y) / (y * x) != z | K(x,y) = z. [para(4622(a,1),262(a,1,1)),flip(b)]. 4786 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(92(a,1),4622(a,1,2))]. 4787 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(4622(a,1),403(a,1,1))]. 4788 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(4622(a,1),4400(a,1,1,1))]. 4789 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4151,a,4624,a),flip(a)]. 4790 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3722,a,4624,a)]. 4791 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(199,a,3394,a(flip),b,4624,a),flip(a)]. 4792 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(199,a,3391,a(flip),b,4624,a),flip(a)]. 4793 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(68,a,4624,a,b,928,a)]. 4794 T(x,y) / (y \ x) = y * K(x,y). [hyper(199,a,954,a,b,4624,a(flip)),flip(a)]. 4795 x \ T(x * y,y) = y * K(x * y,y). [hyper(199,a,1164,a(flip),b,4624,a(flip)),flip(a)]. 4796 x / (x / y) = y * K(x / y,y). [hyper(199,a,358,a(flip),b,4624,a(flip)),flip(a)]. 4797 x * K(y,x) != z | T(x,y) = z. [para(4624(a,1),266(a,1))]. 4798 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(101(a,1),4624(a,1,1))]. 4799 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4624(a,1),102(a,1,1))]. 4800 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4624(a,2),422(a,1,2))]. 4801 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(4624(a,1),443(a,1,1))]. 4802 T(x * K(y * x,x),y) = R(x,y,x). [para(4624(a,1),672(a,2,1)),flip(a)]. 4803 R(x * K(y,x),y,y \ 1) != z | (y * x) * (y \ 1) = z. [para(4624(a,1),451(a,1,1))]. 4804 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4624(a,1),730(a,1,1))]. 4805 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4624(a,1),737(a,1,1))]. 4806 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4624(a,1),822(a,1,1,1))]. 4807 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4624(a,1),1301(a,2,1,2))]. 4808 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1455(a,1),4624(a,1,1))]. 4809 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4624(a,1),1474(a,2,1)),flip(a)]. 4810 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1680(a,1),4624(a,1,1))]. 4811 K(x,y) = (1 / y) * ((x * y) / x). [para(4624(a,2),3021(a,1,2)),flip(a)]. 4813 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4624(a,1),4443(a,1,1,2))]. 4814 (x * K(y,x)) \ x = K(x,y). [para(4624(a,1),4594(a,2,1)),flip(a)]. 4815 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(835(a,1),4640(a,2,1)),flip(a)]. 4816 (x \ T(x * y,y)) / y = K(x * y,y). [para(1164(a,1),4640(a,2,1)),flip(a)]. 4818 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(4642(a,2),270(a,1,2,2))]. 4820 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(4642(a,2),1451(a,1,2)),flip(a)]. 4821 K(1 / x,y) / x = T(1 / x,y). [hyper(273,a,4645,a(flip))]. 4822 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4645(a,2),403(a,1,2,2))]. 4823 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4041(a,2),4645(a,2,1)),flip(a)]. 4824 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1689,a,b,4662,a)]. 4825 (x * y) / x != z | y * K(x,y) = z. [para(4662(a,1),262(a,1,1)),flip(b)]. 4826 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4662(a,1),4445(a,1,2)),flip(a)]. 4827 K(x,T(y,x)) = K(x,y). [hyper(17,a,4607,a,b,4663,a)]. 4828 K(x,x \ (y * x)) = K(x,y). [para(32(a,1),4827(a,1,2))]. 4829 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),4827(a,1,2))]. 4830 K(x,y / x) = K(x,x \ y). [para(107(a,1),4827(a,1,2)),flip(a)]. 4832 K(x,y * K(x,y)) = K(x,y). [para(4625(a,1),4827(a,1,2)),flip(a)]. 4833 L(x,K(y,z),z) != u | u = x. [para(4738(a,1),4666(a,1,2))]. 4834 x * K(y,z) != u * K(z,y) | x = u. [para(4745(a,1),20(a,1))]. 4836 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(4747(a,1),105(a,1,2))]. 4838 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(4748(a,1),105(a,1,2))]. 4839 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(4748(a,1),215(a,1,2))]. 4840 K(x,y) / x = 1 / ((y * x) / y). [hyper(69,a,4761,a,b,1300,a)]. 4842 ((x \ y) \ y) \ 1 = x \ K(x,x \ y). [hyper(199,a,556,a(flip),b,4775,a(flip)),flip(a)]. 4843 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4775(a,1),2224(a,1,2))]. 4844 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4037(a,2),4775(a,1,1)),flip(a)]. 4845 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4685(a,1),4775(a,1,1))]. 4849 x \ (y * (x / y)) = K(y,y \ x). [hyper(199,a,88,a,b,4830,a(flip)),flip(a)]. 4850 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(199,a,4099,a(flip),b,4830,a(flip))]. 4851 x * K(y,y \ x) = y * (x / y). [para(4830(a,1),222(a,1,2))]. 4857 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3082(a,1),4655(a,1,2))]. 4858 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),4673(a,1,1))]. 4859 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),4673(a,1,1))]. 4861 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3887(a,1),4673(a,1))]. 4862 K(x,y) != z | K(y,x) = z. [para(4744(a,2),4681(a,1))]. 4864 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),4709(a,1,2))]. 4865 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(606(a,2),4709(a,1,2))]. 4866 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(847(a,2),4709(a,1))]. 4871 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2450,a,4600,a)]. 4872 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(1825,a,4600,a)]. 4873 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(922,a,4600,a)]. 4874 T(1 / x,y) * x = K(x \ 1,y). [hyper(369,a,4600,a)]. 4875 x * T(x \ 1,y) = K(y,x \ 1). [hyper(199,a,4738,a,b,4600,a)]. 4876 K((x * y) \ x,x * y) = K(y \ 1,x * y). [hyper(199,a,999,a,b,4600,a(flip)),flip(a)]. 4877 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(199,a,2431,a(flip),b,4600,a(flip)),flip(a)]. 4878 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(199,a,1218,a(flip),b,4600,a(flip)),flip(a)]. 4879 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(68,a,4600,a(flip),b,784,a(flip))]. 4882 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4600(a,1),809(a,2,2))]. 4883 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4600(a,1),1031(a,1,1))]. 4884 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4600(a,1),1210(a,1,2)),flip(a)]. 4885 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4600(a,1),1238(a,1,1))]. 4886 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4600(a,1),1308(a,2,1))]. 4887 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4600(a,1),1338(a,2,1))]. 4889 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4600(a,1),2142(a,2,1,2))]. 4891 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4600(a,1),3060(a,2,2))]. 4892 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(199,a,4605,a(flip),b,4617,a)]. 4893 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(4617(a,1),403(a,1,2,2))]. 4894 T(x,y) * (K(x,y) \ z) = x * z. [hyper(270,a,4626,a),flip(a)]. 4895 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(68,a,105,a(flip),b,4626,a),flip(a)]. 4896 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(68,a,14,a(flip),b,4626,a),flip(a)]. 4897 K(x,y) * K(y,x) = 1. [hyper(67,a,4607,a(flip),b,4626,a),flip(a)]. 4898 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,3983,a,b,4626,a),flip(a)]. 4899 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,935,a,b,4626,a)]. 4900 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(17,a,4114,a(flip),b,4626,a)]. 4901 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4112,a(flip),b,4626,a)]. 4902 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(17,a,4025,a(flip),b,4626,a)]. 4903 (T(x,y) * z) / x = T(K(x,y) * z,x). [hyper(69,a,4626,a(flip),b,166,a)]. 4905 T(x,y) * z != x * u | K(x,y) * z = u. [para(4626(a,1),19(a,1))]. 4906 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4626(a,1),24(a,2,2,1)),flip(a)]. 4907 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(105(a,1),4626(a,1,2)),flip(a)]. 4908 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(1914(a,1),4626(a,1,2))]. 4909 x * (K(y,x) * z) = T(x,y) * z. [para(4738(a,1),4626(a,1,2,1))]. 4910 K(T(x,y),y) = K(x,y). [hyper(4001,a,4897,a)]. 4911 1 / K(x,y) = K(y,x). [hyper(79,a,4897,a)]. 4912 K(x,y) \ 1 = K(y,x). [hyper(73,a,4897,a)]. 4913 K(x,y) * K(x,y) = 1. [hyper(199,a,4745,a,b,4897,a(flip)),flip(a)]. 4914 K(x,y) * z != 1 | K(y,x) = z. [para(4897(a,1),19(a,1)),flip(a)]. 4915 x * (K(y,z) * K(z,y)) != u | u = x. [para(4897(a,2),75(a,1,2))]. 4916 K(x,y) \ 1 != z | K(y,x) = z. [para(4897(a,1),254(a,1,2)),flip(b)]. 4917 1 / K(x,y) != z | K(y,x) = z. [para(4897(a,1),262(a,1,1)),flip(b)]. 4918 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(4897(a,1),94(a,2,2))]. 4919 K(x \ (y * x),x) = K(y,x). [para(32(a,1),4910(a,1,1))]. 4920 K(x / y,y) = K(y \ x,y). [para(107(a,1),4910(a,1,1)),flip(a)]. 4921 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(106(a,1),4910(a,1,1))]. 4922 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(686(a,1),4910(a,1,1)),flip(a)]. 4923 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(676(a,1),4910(a,1,1)),flip(a)]. 4924 K(x / (x / y),y \ x) = K(y,y \ x). [para(3903(a,1),4910(a,1,1)),flip(a)]. 4925 K(x,T(y,x)) != z | K(x,y) = z. [para(4910(a,1),4009(a,1))]. 4926 K(x * K(y,x),y) = K(x,y). [para(4625(a,1),4910(a,1,1)),flip(a)]. 4928 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(4911(a,1),3434(a,1,2,2))]. 4930 (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(4912(a,1),1646(a,1,1,2,2,1)),flip(a)]. 4931 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(4912(a,1),1781(a,2,1,2,1))]. 4934 x * K(x / y,y) = (y \ x) * y. [para(4920(a,2),221(a,1,2))]. 4935 K((T(x,y) * z) / x,x) = K(T(x,y) * (x \ z),x). [para(925(a,1),4920(a,2,1))]. 4941 K(x / y,y) != z | K(y \ x,y) = z. [para(3999(a,1),4916(a,1))]. 4942 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),4925(a,1,2))]. 4944 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(42(a,2),4925(a,1,2))]. 4945 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(915(a,1),4925(a,1,2))]. 4947 K(x,y) \ (y * z) = T(y,x) * z. [hyper(4169,a,4628,a)]. 4948 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(816,a,4628,a)]. 4949 ((x \ y) \ y) * (x \ z) = K(x,x \ y) * z. [hyper(590,a,4628,a)]. 4950 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(199,a,3099,a,b,4628,a)]. 4951 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(199,a,4079,a,b,4628,a(flip)),flip(a)]. 4952 (x * y) / (T(x,z) * y) = K(z,x). [hyper(69,a,4164,a(flip),b,4628,a(flip))]. 4953 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(68,a,4628,a(flip),b,4159,a(flip))]. 4954 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(28(a,2),4628(a,1,2)),flip(a)]. 4956 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(4628(a,1),160(a,1,2,2))]. 4957 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4599(a,2),4628(a,1,2)),flip(a)]. 4958 T(x,y) * (x \ z) = K(y,x) * z. [para(4738(a,1),4628(a,2,1))]. 4959 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(4175,a,4631,a)]. 4960 T(x,y) \ (x * z) = K(y,x) * z. [hyper(991,a,4631,a)]. 4961 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(972,a,4631,a),flip(a)]. 4962 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(69,a,4282,a(flip),b,4631,a(flip)),flip(a)]. 4963 K(x,y) \ (1 / T(y,x)) = 1 / y. [hyper(68,a,2949,a(flip),b,4631,a(flip))]. 4964 (x \ y) * ((y / x) \ z) = K(x,x \ y) * z. [para(170(a,1),4631(a,1,2,1))]. 4967 T(x,y) * (K(y,x) * z) = x * z. [para(4631(a,1),928(a,1,2))]. 4968 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4631(a,1),972(a,1))]. 4970 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4599(a,2),4631(a,1,2)),flip(a)]. 4971 x * (T(x,y) \ z) = K(x,y) * z. [para(4738(a,1),4631(a,2,1))]. 4972 K(x,x \ y) * ((y / x) * z) = (x \ y) * z. [para(170(a,1),4632(a,1,2,1))]. 4973 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(4632(a,1),254(a,1,2)),flip(b)]. 4975 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(4632(a,1),394(a,1,1)),flip(a)]. 4976 K(x,y) * (T(x,y) * z) = x * z. [para(4738(a,1),4632(a,1,1))]. 4977 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4636(a,1),207(a,1,1)),flip(b)]. 4978 (T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = K(R(x,y,z),u). [para(101(a,1),4636(a,1,2))]. 4979 ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). [para(4636(a,1),102(a,1,1)),flip(a)]. 4981 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1129(a,1),4639(a,2,1)),flip(a)]. 4984 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(199,a,1239,a(flip),b,4647,a(flip)),flip(a)]. 4986 K(x,(x / y) / x) = K(x,1 / y). [hyper(3681,a,4650,a)]. 4987 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4650(a,1),4709(a,1))]. 4988 K(x,x / y) = K(x,y \ x). [hyper(4709,a,4658,a),flip(a)]. 4989 K(x / y,x) = K(x,y \ x). [hyper(4862,a,4988,a)]. 4990 K(x,(y \ x) \ x) = K(x,y). [para(60(a,1),4988(a,1,2)),flip(a)]. 4991 K(x / y,x) = K(y \ x,x). [hyper(199,a,4738,a,b,4989,a)]. 4992 K(x / y,x) != z | K(y \ x,x) = z. [para(4989(a,2),4862(a,1))]. 4993 K((x \ y) \ y,y) = K(x,y). [para(60(a,1),4991(a,1,1)),flip(a)]. 4995 ((x * (y / x)) * z) / (y * z) = R(K(x,x \ y),y,z). [para(4668(a,1),30(a,2,1,1)),flip(a)]. 4996 K(x,(x \ 1) * y) * y = x * (y / x). [para(4109(a,2),4668(a,1,1))]. 4998 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(68,a,105,a(flip),b,4669,a)]. 4999 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),4669(a,2,1))]. 5000 K(x,y) * (T(z,u) * x) = T(x,y) * T(T(z,x),u). [para(163(a,1),4669(a,1,2))]. 5001 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4669(a,1),270(a,1))]. 5002 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(164(a,1),4669(a,1,2))]. 5003 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(165(a,1),4669(a,1,2))]. 5006 K(x,y) * (y * z) = T(y,x) * z. [para(4738(a,1),4669(a,1,1))]. 5008 K(x,y) \ z = K(y,x) * z. [hyper(199,a,4631,a(flip),b,4670,a(flip))]. 5009 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3276,a,5008,a)]. 5010 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(3275,a,5008,a),flip(a)]. 5011 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(604,a,5008,a),flip(a)]. 5012 x / (K(y,z) * x) = K(z,y). [hyper(384,a,5008,a)]. 5013 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(255,a,5008,a),flip(a)]. 5014 K(x,y) * (K(y,x) * z) = z. [hyper(254,a,5008,a)]. 5015 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(68,a,5008,a,b,105,a)]. 5016 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(2990,a,5008,a(flip)),flip(a)]. 5017 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(199,a,3506,a(flip),b,5008,a(flip))]. 5018 x * (K(y,z) * u) != u | K(z,y) = x. [para(5008(a,1),78(a,1,2)),flip(b)]. 5019 K(x,y) * (K(y,x) * z) != u | u = z. [para(5008(a,1),211(a,1,2))]. 5020 x / (K(y,z) * x) != u | K(z,y) = u. [para(5008(a,1),261(a,1,2)),flip(b)]. 5022 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5008(a,1),198(a,1,1,2))]. 5023 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5008(a,1),198(a,1,1))]. 5025 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5008(a,1),481(a,1,2))]. 5026 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5008(a,1),271(a,1,1,3))]. 5027 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(5008(a,1),3587(a,1,1))]. 5028 K(x,y) \ z = K(x,y) * z. [para(4738(a,1),5008(a,1,1))]. 5030 K(x,y) \ z != u | K(y,x) * z = u. [para(5012(a,1),253(a,1,1)),flip(b)]. 5031 K(x,y) != z | K(y,x) \ 1 = z. [para(5012(a,1),213(a,1)),flip(b)]. 5032 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(2970(a,2),5012(a,1,2))]. 5033 K(x \ y,x) * (x * (y / x)) = y. [hyper(17,a,4668,a,b,5014,a)]. 5034 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(17,a,1914,a,b,5014,a)]. 5035 K(x,y) * (R(x,z,u) * K(y,x)) = R(x,z,u). [hyper(17,a,2972,a(flip),b,5014,a)]. 5036 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,1914,a(flip),b,5014,a)]. 5037 K(x,y) * z != u | K(y,x) * u = z. [para(5014(a,1),19(a,1)),flip(a)]. 5038 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5014(a,1),101(a,1,2))]. 5039 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5014(a,1),394(a,1,1)),flip(a)]. 5041 K(x,y) * (K(x,y) * z) = z. [para(4738(a,1),5014(a,1,1))]. 5042 K(x,y) * (K(x,y) * z) != u | u = z. [para(5028(a,1),211(a,1,2))]. 5043 L(x \ (K(y,z) * u),x,K(y,z)) = (K(y,z) * x) \ u. [para(5028(a,1),198(a,1,1,2))]. 5044 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(154,a,4745,a,b,5041,a),flip(a)]. 5045 K(x,y) * z != u | K(x,y) * u = z. [para(5041(a,1),19(a,1)),flip(a)]. 5046 K(x,y) \ z != u | K(x,y) * z = u. [para(5041(a,1),254(a,1,2)),flip(b)]. 5050 T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4676(a,1),3975(a,1,2))]. 5051 T(x,x \ y) / (y \ x) = x * (y / x). [para(4682(a,1),3682(a,1,1))]. 5052 K(x,T(y,T(x,z))) = K(x,y). [hyper(4708,a,4706,a)]. 5053 T(x,y * K(y,z)) = T(x,T(y,z)). [para(4706(a,1),4078(a,1,2))]. 5054 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(4706(a,2),4655(a,1))]. 5055 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(4762(a,1),221(a,1,2))]. 5058 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(4769(a,2),1499(a,2,2))]. 5059 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(4783(a,1),181(a,1,2))]. 5060 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(697(a,1),4840(a,2,2))]. 5061 1 / (x * K(y,x)) = K(x,y) / x. [para(4624(a,1),4840(a,2,2)),flip(a)]. 5062 (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). [para(4843(a,1),152(a,1,2))]. 5063 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(4843(a,1),163(a,1,2,1))]. 5064 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(4845(a,1),3172(a,2,2,2))]. 5065 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3708,a,4849,a)]. 5066 x * (y / x) != y * z | K(x,x \ y) = z. [para(4851(a,1),19(a,1))]. 5067 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(4851(a,1),28(a,2,1)),flip(a)]. 5068 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(69,a,587,a(flip),b,4874,a),flip(a)]. 5070 K(x \ 1,(1 / x) \ y) != z | (((1 / x) \ y) \ y) * x = z. [para(4874(a,1),590(a,1))]. 5071 (x * (y * T(y \ 1,z))) * y = (x * y) * K(z,y \ 1). [para(4875(a,1),1533(a,2,2))]. 5072 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(4892(a,1),30(a,2,2)),flip(a)]. 5073 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(79,a,4896,a)]. 5074 K(x,y) * (x \ z) = T(x,y) \ z. [hyper(17,a,5041,a,b,4896,a),flip(a)]. 5075 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4896(a,1),19(a,1))]. 5077 K(x,y) * (T(y,x) \ z) = y \ z. [para(4738(a,1),4896(a,1,1))]. 5078 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(170(a,1),4909(a,2,1))]. 5079 ((x * y) / x) * z = y * (K(x,y) * z). [para(185(a,1),4909(a,2,1)),flip(a)]. 5080 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(3905(a,1),4909(a,2,1)),flip(a)]. 5081 T(x,y) * (y * z) = x * (T(y,x) * z). [para(4669(a,1),4909(a,1,2)),flip(a)]. 5083 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),4952(a,1,2,1))]. 5086 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(199,a,4909,a,b,4958,a(flip)),flip(a)]. 5090 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),4960(a,1,1))]. 5091 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(4960(a,1),211(a,1,2)),flip(b)]. 5093 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4607(a,1),4960(a,1,2)),flip(a)]. 5094 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4652(a,2),4960(a,1,2))]. 5095 K(x,y) * (y * z) = y * (K(x,y) * z). [para(4960(a,1),4631(a,1,2)),flip(a)]. 5096 ((x \ y) \ y) \ z = K(x \ y,x) * (x \ z). [hyper(199,a,556,a(flip),b,4961,a),flip(a)]. 5097 T(x,y) * (1 / y) = x * (1 / T(y,x)). [para(4963(a,1),4894(a,1,2))]. 5098 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(994,a,4967,a)]. 5100 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(4967(a,1),254(a,1,2)),flip(b)]. 5102 (x * y) \ (K(x,z) * u) != w | L(y \ (T(x,z) \ u),y,x) = w. [para(4971(a,1),508(a,1,2))]. 5104 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(4685(a,1),4971(a,1,2,1))]. 5105 K(x,y) * (K(x,z) * u) = T(x,y) * (T(x,z) \ u). [para(4971(a,1),4669(a,1,2))]. 5106 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(170(a,1),4976(a,1,2,1))]. 5108 K(x * y,x / (x * y)) = K(x * y,1 / y). [para(15(a,1),4986(a,1,2,1))]. 5109 K(x,1 / (y \ x)) = K(x,y / x). [para(60(a,1),4986(a,1,2,1)),flip(a)]. 5110 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(4986(a,1),222(a,1,2))]. 5111 (x * T(y,z)) / (T(y,x) * x) = K(z,T(y,x)). [hyper(69,a,189,a(flip),b,5006,a)]. 5112 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(170(a,1),5006(a,2,1))]. 5113 K(x,y) * (y * z) = ((x * y) / x) * z. [para(185(a,1),5006(a,2,1))]. 5114 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5010(a,1),262(a,1,1)),flip(b)]. 5115 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5015(a,1),1572(a,1,2,2,1))]. 5116 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5015(a,1),1717(a,1,2,2,1))]. 5117 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4738(a,1),5053(a,1,2,2))]. 5119 (K(x,y) / x) \ 1 = x * K(y,x). [para(5061(a,1),63(a,1,1))]. 5120 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(3082(a,2),5061(a,2,1))]. 5121 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5073(a,1,2,1))]. 5122 ((x \ y) \ y) \ z = K(x,x \ y) * (x \ z). [hyper(199,a,556,a(flip),b,5074,a),flip(a)]. 5123 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(170(a,1),5074(a,2,1))]. 5125 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4685(a,1),5074(a,2,1)),flip(a)]. 5126 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [para(170(a,1),5077(a,1,2,1))]. 5127 K(x * (y * z),a(x,y,z)) * ((((x * y) * z) / (x * (y * z))) \ u) = a(x,y,z) \ u. [para(196(a,2),5077(a,1,2,1))]. 5128 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2315(a,1),5117(a,1,2))]. 5129 T(x,(y * z) / y) = T(x,T(z,y)). [para(4624(a,2),5117(a,1,2))]. 5130 T(x,T(T(y,z),z)) = T(x,y). [para(4663(a,1),5117(a,1,2)),flip(a)]. 5131 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(167(a,1),5130(a,1,2,1))]. 5132 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(737(a,2),5129(a,1,2))]. 5133 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(2004(a,2),4774(a,2,1))]. 5134 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3393(a,1),4802(a,1,1))]. 5136 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2973,a,4901,a)]. 5137 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(68,a,4901,a(flip),b,2970,a),flip(a)]. 5138 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(2973,a,4902,a)]. 5139 (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. [para(4233(a,2),4915(a,1))]. 5141 K(x,T(y \ 1,L(y,z,u))) != w | K(x,y \ 1) = w. [para(4546(a,2),4987(a,1,2))]. 5142 K(x,y) * z != u | K(y,x) \ z = u. [para(14(a,1),5019(a,1,2)),flip(b)]. 5144 K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. [para(2840(a,1),5019(a,1,2)),flip(b)]. 5146 T(x,y) != z | K(x,y) * x = z. [para(4619(a,2),5030(a,1))]. 5147 K(x,y) * z != u | K(x,y) \ z = u. [para(14(a,1),5042(a,1,2)),flip(b)]. 5150 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(169(a,1),5054(a,1,2))]. 5152 T(x * K(y,x),T(z,x)) != u | T(x * K(y,x),z) = u. [para(4625(a,1),5054(a,1,2,2))]. 5153 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1605(a,1),5136(a,1,1))]. 5154 T(x,x * y) * K(y,x) != z | L(x,y,x) = z. [para(5137(a,2),211(a,1,2)),flip(b)]. 5156 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(68,a,5138,a(flip),b,4626,a),flip(a)]. 5157 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5138(a,1),28(a,2,2,2)),flip(a)]. 5159 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(199,a,2497,a(flip),b,4595,a(flip)),flip(a)]. 5160 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(4595(a,1),2590(a,2,1,2,1))]. 5161 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4604(a,1),2732(a,1,1)),flip(a)]. 5162 K((1 / x) \ y,y) = K(y * x,y). [hyper(199,a,4592,a,b,4616,a)]. 5163 K(x * (y \ 1),x) = K(y \ x,x). [para(60(a,1),5162(a,1,1,1)),flip(a)]. 5164 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4770(a,1),5163(a,1,1,2)),flip(a)]. 5165 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(69,a,783,a(flip),b,4629,a)]. 5168 x / (y * T(y \ x,z)) = K(z,x / y). [para(4629(a,1),5012(a,1,2))]. 5169 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(4634(a,1),60(a,1,2))]. 5170 K(K(x,1 / x) * y,z) = K(y,z). [hyper(199,a,4596,a,b,4635,a)]. 5171 K(K(x \ 1,x) * y,z) = K(y,z). [para(60(a,1),5170(a,1,1,1,2))]. 5172 K(K(x,x \ 1) * y,z) = K(y,z). [para(2000(a,1),5170(a,1,1,1))]. 5173 K(x * K(y \ 1,y),z) = K(x,z). [para(2246(a,1),5171(a,1,1))]. 5174 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2689(a,1),5171(a,1,1)),flip(a)]. 5175 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2702(a,1),5171(a,1,1))]. 5176 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2763(a,1),5171(a,1,1))]. 5177 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2806(a,1),5171(a,1,1))]. 5178 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2808(a,1),5171(a,1,1)),flip(a)]. 5179 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2869(a,1),5171(a,1,1))]. 5180 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(2885(a,2),5171(a,1,1))]. 5181 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(5171(a,1),3218(a,1))]. 5182 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4361(a,2),5171(a,1,1))]. 5184 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2647(a,1),5172(a,1,1))]. 5186 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4343(a,2),5172(a,1,1))]. 5187 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4326(a,1),5173(a,1,1)),flip(a)]. 5188 K(x,y \ 1) != z | K(x,1 / y) = z. [para(63(a,1),5181(a,1,2,1))]. 5189 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(2035(a,2),5181(a,1,2))]. 5190 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2216(a,1),5181(a,1,2))]. 5194 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(2130,a,4641,a)]. 5195 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(199,a,2581,a(flip),b,4641,a(flip)),flip(a)]. 5196 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(199,a,2322,a(flip),b,4641,a(flip)),flip(a)]. 5198 x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1). [hyper(199,a,1668,a(flip),b,4641,a(flip)),flip(a)]. 5199 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(4641(a,1),30(a,2,2)),flip(a)]. 5201 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4641(a,1),1897(a,2,1))]. 5202 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(4641(a,2),5188(a,1))]. 5203 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(199,a,4599,a,b,4659,a)]. 5205 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(199,a,4599,a,b,4671,a)]. 5206 K(x,y * K(z,1 / z)) = K(x,y). [para(2000(a,2),5205(a,1,2,2))]. 5207 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2644(a,1),5205(a,1,2))]. 5208 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2645(a,1),5205(a,1,2))]. 5209 K(x,K(y \ 1,y) * z) = K(x,z). [para(2753(a,1),5205(a,1,2)),flip(a)]. 5210 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2754(a,1),5205(a,1,2))]. 5211 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2766(a,1),5205(a,1,2)),flip(a)]. 5212 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(2792(a,1),5205(a,1,2))]. 5213 K(x,((y \ 1) \ 1) * z) = K(x,y * z). [para(2826(a,1),5205(a,1,2))]. 5214 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2834(a,1),5205(a,1,2)),flip(a)]. 5215 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(2839(a,1),5205(a,1,2))]. 5216 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2855(a,1),5205(a,1,2))]. 5217 K(x,(1 / y) / z) = K(x,(y \ 1) / z). [para(3521(a,1),5205(a,1,2))]. 5218 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4257(a,2),5205(a,1,2))]. 5219 K(x,T(K(y,y \ 1) * z,u)) = K(x,T(z,u)). [para(4430(a,2),5205(a,1,2))]. 5220 K(x,K(y,1 / y) * z) = K(x,z). [para(2243(a,2),5206(a,1,2))]. 5221 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4249(a,1),5206(a,1,2))]. 5222 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4361(a,2),5209(a,1,2))]. 5223 K(x,T(y,y \ 1) \ z) = K(x,y \ z). [para(4961(a,1),5209(a,1,2))]. 5224 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3502(a,1),5220(a,1,2))]. 5225 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,4662,a,b,4688,a),flip(a)]. 5226 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,3946,a,b,4688,a)]. 5227 T(x * K(T(x,y) \ z,x),y) = z / (z / T(x,y)). [hyper(18,a,3907,a,b,4688,a)]. 5228 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1689,a,b,4688,a)]. 5229 T(x * K(y,x),y * x) = L(x,y,x). [hyper(18,a,4036,a(flip),b,4688,a)]. 5230 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5226(a,1),38(a,1,1)),flip(a)]. 5231 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(199,a,4187,a,b,4689,a)]. 5232 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(68,a,4689,a,b,4624,a(flip))]. 5233 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4689(a,2),4594(a,2,1)),flip(a)]. 5234 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4689(a,2),4825(a,1))]. 5235 K(x,(y / z) \ 1) = K(x,z / y). [hyper(4708,a,4705,a)]. 5237 T(x,(y / z) \ 1) != u | T(x,z / y) = u. [para(4705(a,2),4655(a,1))]. 5238 K(x,1 / (y / z)) = K(x,z / y). [hyper(5188,a,5235,a)]. 5239 K(x,y / (z * y)) = K(x,z \ 1). [para(15(a,1),5235(a,1,2,1)),flip(a)]. 5240 K(x,(y \ z) / z) = K(x,y \ 1). [para(60(a,1),5235(a,1,2,1)),flip(a)]. 5241 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(102(a,2),5235(a,1,2,1))]. 5242 K(x,y / (z * y)) = K(x,1 / z). [para(15(a,1),5238(a,1,2,2)),flip(a)]. 5244 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(5238(a,1),4987(a,1))]. 5247 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5239(a,1),4680(a,1,1))]. 5251 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5242(a,2),4987(a,1))]. 5252 x \ T(x * y,y) = y * K(y * x,y). [hyper(18,a,4398,a,b,4742,a),flip(a)]. 5254 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(4816(a,1),661(a,1,1))]. 5255 K(x,y * x) = K(x,x * y). [hyper(4866,a,4823,a)]. 5257 K(x,x * (y / x)) = K(x,y). [para(16(a,1),5255(a,1,2)),flip(a)]. 5258 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(83(a,1),5255(a,2,2))]. 5259 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2811(a,1),4829(a,1,2))]. 5260 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(5142,a,4836,a)]. 5261 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(199,a,4631,a,b,4836,a),flip(a)]. 5262 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(199,a,4628,a,b,4838,a),flip(a)]. 5263 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(16(a,1),4898(a,1,1,1))]. 5265 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(199,a,3096,a(flip),b,4957,a)]. 5266 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(4957(a,2),3105(a,1))]. 5267 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(4957(a,2),3112(a,1))]. 5268 ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). [para(4599(a,2),4959(a,1,2))]. 5269 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(199,a,3085,a(flip),b,5032,a)]. 5270 K(x,y) * T(z,K(y,x)) = z * K(x,y). [hyper(5037,a,5044,a)]. 5271 T(x,K(y,z)) = T(x,K(z,y)). [hyper(199,a,5013,a(flip),b,5044,a(flip))]. 5272 K(x,K(y,z)) * x = T(x,K(z,y)). [hyper(5146,a,5271,a)]. 5273 x * K(x,K(y,z)) = T(x,K(z,y)). [hyper(4735,a,5271,a)]. 5274 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(4687,a,5271,a)]. 5275 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(340,a,5271,a),flip(a)]. 5276 T(T(x,K(y,z)),K(z,y)) = x. [hyper(338,a,5271,a)]. 5277 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5271(a,1),166(a,1,1))]. 5278 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(5271(a,1),338(a,1,1))]. 5279 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(5271(a,1),342(a,1,1))]. 5280 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(5271(a,1),342(a,1))]. 5281 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(5271(a,1),1165(a,1,2))]. 5283 x * K(y,z) != u | K(y,z) * T(x,K(z,y)) = u. [para(5276(a,1),217(a,1,1))]. 5284 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(5276(a,1),338(a,1,1)),flip(b)]. 5285 K(K(x,y),z) = K(z,K(y,x)). [hyper(18,a,4736,a(flip),b,5272,a),flip(a)]. 5286 K(x,K(y,z)) = K(x,K(z,y)). [hyper(18,a,4660,a(flip),b,5272,a)]. 5287 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5285(a,1),4652(a,2,2)),flip(a)]. 5288 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5285(a,1),4660(a,2,1)),flip(a)]. 5289 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(5285(a,1),4862(a,1))]. 5290 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(5285(a,1),4797(a,1,2))]. 5291 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5285(a,1),4669(a,1,1))]. 5292 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(5286(a,1),4862(a,1))]. 5293 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(5274(a,1),5229(a,1,1))]. 5294 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(15(a,1),5051(a,2,2))]. 5295 T(x,y / x) / (y \ x) = x * (y / x). [para(3940(a,2),5051(a,1,1))]. 5296 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(5059(a,1),2657(a,1,1))]. 5297 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(566,a,5062,a)]. 5298 K(x,y) * (x / y) = x / T(y,x). [hyper(4467,a,5079,a),flip(a)]. 5299 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5079(a,1),736(a,1,1))]. 5300 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5298(a,1),92(a,1,1))]. 5301 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5298(a,1),126(a,1,2,1))]. 5302 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(170(a,1),5081(a,1,1)),flip(a)]. 5306 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(199,a,1914,a,b,5094,a)]. 5308 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5095(a,1),101(a,2,1))]. 5309 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5095(a,1),270(a,1))]. 5311 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5095(a,1),394(a,1,1))]. 5312 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(799(a,1),5098(a,1,2))]. 5313 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(846(a,1),5098(a,1,2))]. 5314 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(240(a,2),5098(a,1,2,2,1))]. 5315 (x * K(y,x)) \ y = x \ (y * K(x,y)). [hyper(68,a,2964,a(flip),b,5104,a),flip(a)]. 5316 x / (K(y,z) * (y \ x)) = y * K(z,y). [para(5125(a,1),60(a,1,2))]. 5317 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5159(a,1),14(a,1,2)),flip(a)]. 5318 x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). [hyper(199,a,5235,a,b,5168,a)]. 5319 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1387(a,1),5168(a,1,2))]. 5320 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1399(a,1),5168(a,1,2))]. 5321 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4603(a,2),5169(a,1,2))]. 5322 K(x * (1 / y),x) = K(y \ x,x). [hyper(199,a,5163,a(flip),b,5174,a)]. 5323 K((x \ 1) \ y,y) = K(y * x,y). [para(60(a,1),5322(a,1,1,2)),flip(a)]. 5324 K(x / (y \ 1),z \ 1) != u | K(x / (1 / y),1 / z) = u. [para(5175(a,1),5188(a,1))]. 5325 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3425(a,1),5176(a,1,1,2))]. 5326 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5061(a,1),5178(a,1,1,1)),flip(a)]. 5329 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2272(a,2),5184(a,1,1,2))]. 5330 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(199,a,5203,a(flip),b,5207,a(flip)),flip(a)]. 5331 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(4350(a,1),5330(a,1,2,1))]. 5332 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(199,a,5187,a,b,5208,a)]. 5333 K(x,(1 / x) * y) * y = x * (y / x). [para(5215(a,2),4996(a,1,1))]. 5334 K(x,T(1 / y,z) \ u) = K(x,T(y \ 1,z) \ u). [para(2216(a,1),5216(a,1,2,1)),flip(a)]. 5335 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(3306(a,2),5216(a,1,2,1))]. 5336 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(3426(a,1),5216(a,1,2,1)),flip(a)]. 5337 K(x * y,y) = K(y * x,y). [hyper(17,a,4795,a(flip),b,5252,a(flip)),flip(a)]. 5338 T(x * K(x * y,x),y) != z | R(x,y,x) = z. [para(5252(a,1),4424(a,1,1))]. 5339 K((x \ 1) \ y,y) = K(x * y,y). [hyper(199,a,5323,a,b,5337,a),flip(a)]. 5340 K((1 / x) * y,y) = K(x \ y,y). [hyper(199,a,5322,a(flip),b,5337,a)]. 5341 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5339(a,1),4652(a,2,2)),flip(a)]. 5342 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(199,a,63,a,b,5265,a),flip(a)]. 5343 K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. [para(5270(a,1),19(a,1)),flip(a)]. 5344 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(5037,a,5287,a)]. 5346 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(3903(a,1),5306(a,1,2)),flip(a)]. 5347 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5316(a,1),253(a,1,1)),flip(b)]. 5348 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(17,a,4598,a(flip),b,5344,a),flip(a)]. 5349 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(5348(a,1),329(a,1,2)),flip(a)]. 5354 x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. [para(1218(a,1),4861(a,1))]. 5355 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2431(a,1),4861(a,1))]. 5356 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(14(a,1),4977(a,1,2))]. 5358 K(x,y) * (z * (x / z)) != u | T(x,y) * K(z,z \ x) = u. [para(4851(a,1),4977(a,1,2))]. 5359 T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. [para(32(a,2),5001(a,1,2))]. 5360 (x \ y) * T((x \ y) \ y,z) != u | K(x,z) * y = u. [para(367(a,2),5001(a,1))]. 5363 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4953(a,1),5001(a,1,2))]. 5364 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3705(a,2),5066(a,1))]. 5365 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2067(a,1),5091(a,1,2))]. 5366 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5014(a,1),5091(a,1,2))]. 5367 T(x,y) * z != u | x * (K(y,x) * z) = u. [para(5041(a,1),5091(a,1,2))]. 5369 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(1915,a,5156,a)]. 5370 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5156(a,1),1915(a,1))]. 5371 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5337(a,2),5156(a,1,2))]. 5373 T(x,y \ K(y,z)) != u | T(x,z / (z * y)) = u. [para(4770(a,1),5237(a,1,2))]. 5381 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(185(a,1),5367(a,1,1))]. 5383 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),5369(a,1,1,1)),flip(a)]. 5384 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5369(a,1),1916(a,1))]. 5385 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5337(a,2),5369(a,1,1))]. 5386 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4586(a,1),4195(a,1,1,1))]. 5387 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(199,a,574,a(flip),b,4591,a(flip)),flip(a)]. 5389 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4599(a,2),4646(a,1,1)),flip(a)]. 5392 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(63(a,1),5389(a,2,1,2))]. 5394 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(5188,a,5392,a)]. 5395 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2212(a,1),5392(a,1,2))]. 5396 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5392(a,1),3123(a,1,2,1))]. 5397 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5317(a,1),5392(a,1,2))]. 5398 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(5395(a,2),47(a,1,1))]. 5400 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [para(4738(a,1),5397(a,1,2,2))]. 5401 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(199,a,5395,a,b,5398,a(flip)),flip(a)]. 5403 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(3082(a,2),5400(a,1,2,2))]. 5404 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(171(a,1),5401(a,1,2,2,1))]. 5405 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,4662,a,b,4690,a),flip(a)]. 5406 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5061(a,1),4694(a,1,1,2))]. 5407 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5406(a,1),105(a,1,2)),flip(a)]. 5408 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(199,a,2286,a(flip),b,4792,a),flip(a)]. 5409 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(199,a,4624,a(flip),b,4804,a),flip(a)]. 5410 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(69,a,4804,a,b,4664,a(flip))]. 5411 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4804(a,2),4594(a,2,1)),flip(a)]. 5412 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4804(a,2),4761(a,2,2)),flip(a)]. 5413 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(68,a,4805,a,b,4624,a(flip))]. 5414 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4805(a,2),3902(a,1,1))]. 5415 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4805(a,2),4594(a,2,1)),flip(a)]. 5417 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4600(a,1),4872(a,1,1)),flip(a)]. 5418 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(63(a,1),5417(a,2,1,1))]. 5419 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3085(a,1),5417(a,2,1))]. 5420 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2212(a,1),5418(a,1,1))]. 5421 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(5420(a,2),47(a,1,1))]. 5422 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(199,a,5420,a,b,5421,a(flip)),flip(a)]. 5424 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(5422(a,1),4610(a,2,2))]. 5425 (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. [para(4876(a,1),4615(a,1,2))]. 5426 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(784(a,1),4878(a,1,2))]. 5427 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1387(a,1),4878(a,1,2))]. 5428 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(922,a,4884,a),flip(a)]. 5429 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(881,a,4884,a),flip(a)]. 5430 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(872,a,4884,a)]. 5431 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(636,a,4884,a),flip(a)]. 5432 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(199,a,1399,a(flip),b,4884,a(flip)),flip(a)]. 5433 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(154,a,4629,a,b,4884,a(flip))]. 5435 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(3935(a,2),4884(a,2,2,1,1))]. 5436 K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). [para(60(a,1),5433(a,1,1,1)),flip(a)]. 5437 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(199,a,875,a(flip),b,4885,a)]. 5438 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(199,a,846,a(flip),b,4885,a)]. 5440 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(69,a,875,a(flip),b,4885,a),flip(a)]. 5441 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [hyper(69,a,784,a(flip),b,4885,a)]. 5442 K((x / y) \ 1,z) = K(y / x,z). [hyper(18,a,4629,a,b,4885,a)]. 5443 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),4885(a,2,2,1))]. 5444 K(1 / (x / y),z) = K(y / x,z). [hyper(3110,a,5442,a)]. 5446 R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [hyper(199,a,3849,a,b,5442,a),flip(a)]. 5447 K((x / y) \ 1,x) = K(x \ y,x). [hyper(199,a,4920,a(flip),b,5442,a)]. 5448 K(x / (y * x),z) = K(y \ 1,z). [para(15(a,1),5442(a,1,1,1)),flip(a)]. 5449 K((x / (y * x)) \ 1,z) = K(y,z). [para(15(a,1),5442(a,2,1))]. 5450 K((x \ y) / y,z) = K(x \ 1,z). [para(60(a,1),5442(a,1,1,1)),flip(a)]. 5451 K((x / y) \ 1,x) != z | K(x \ y,x) = z. [para(5442(a,2),4941(a,1))]. 5453 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5444(a,1),3118(a,1))]. 5454 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(199,a,4102,a(flip),b,5447,a)]. 5455 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5448(a,2),3110(a,1))]. 5456 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5448(a,1),4934(a,1,2)),flip(a)]. 5459 R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(3849(a,2),5453(a,1))]. 5460 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(68,a,5136,a(flip),b,4908,a),flip(a)]. 5461 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(5255(a,2),5460(a,1,2))]. 5462 x \ (y * (K(y,y \ x) * z)) = L((x / y) \ z,y \ x,y). [para(4964(a,1),93(a,1,2,2))]. 5463 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(2990,a,4970,a)]. 5464 K(x,x \ y) \ ((y / x) * z) = (x \ y) * z. [hyper(5147,a,4972,a)]. 5466 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(851(a,1),4984(a,1,1)),flip(a)]. 5467 T(T(1 / ((x * y) \ x),z),y) != u | T(1 / ((x * y) \ x),z) = u. [para(5068(a,1),339(a,1,1,1))]. 5469 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(237,a,5078,a),flip(a)]. 5472 x \ ((y / (y / x)) * z) != u * z | K(x \ y,x) = u. [para(5080(a,2),77(a,1,2)),flip(b)]. 5476 (x * y) * (x / (x * y)) = x * K(x * y,1 / y). [para(5108(a,1),222(a,1,2)),flip(a)]. 5477 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(199,a,5295,a,b,5110,a),flip(a)]. 5479 (x * T(y,z)) / (x * y) = K(z,T(y,x)). [para(166(a,1),5111(a,1,2))]. 5480 K(x,T(y,z)) * (z * y) = z * T(y,x). [para(5479(a,1),16(a,1,1))]. 5485 T(x,x \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). [hyper(68,a,5123,a(flip),b,4631,a),flip(a)]. 5486 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(32(a,2),5123(a,1,2))]. 5487 ((x \ y) \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). [hyper(68,a,5126,a(flip),b,4949,a)]. 5488 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5109(a,1),5128(a,1,2,1))]. 5489 K(x,y) * T(y,y * x) != z | L(y,x,y) = z. [para(2970(a,1),5154(a,1))]. 5490 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2647(a,1),5182(a,1,1,1))]. 5491 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(2840(a,1),5182(a,1,1,1))]. 5492 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(2878(a,1),5182(a,1,1,1)),flip(a)]. 5493 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4371(a,1),5182(a,1,1,1))]. 5494 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(2234(a,1),5186(a,1,1,2))]. 5496 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3604(a,1),5186(a,1,1,2))]. 5497 K(x,y \ (z * (1 / u))) = K(x,y \ (z * (u \ 1))). [para(2749(a,1),5218(a,1,2,2))]. 5498 K(x,y \ ((1 / z) \ u)) = K(x,y \ ((z \ 1) \ u)). [para(2835(a,1),5218(a,1,2,2)),flip(a)]. 5499 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2840(a,1),5218(a,1,2,2))]. 5500 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(2840(a,1),5219(a,1,2,1))]. 5501 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(2243(a,2),5221(a,1,2,2))]. 5502 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2749(a,1),5222(a,1,2,1))]. 5503 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(2840(a,1),5222(a,1,2,1))]. 5504 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5225(a,1),254(a,1,2)),flip(b)]. 5505 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5232(a,1),211(a,1,2)),flip(b)]. 5506 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5337(a,1),5232(a,1,2,1,2))]. 5507 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(4884(a,2),5232(a,1,2,1))]. 5509 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5225(a,1),5233(a,1,1,1))]. 5510 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(5261(a,1),3763(a,2,3))]. 5511 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(5263(a,2),3501(a,1,1)),flip(a)]. 5512 (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). [para(4624(a,1),5268(a,1,1))]. 5513 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(32(a,2),5294(a,1,1,2))]. 5514 T(x,y) / ((y * x) \ x) = x * y. [para(3926(a,1),5513(a,1,1))]. 5515 T(x,y) = (x * y) * ((y * x) \ x). [para(5514(a,1),16(a,1,1)),flip(a)]. 5516 (x * y) \ T(x,y) = (y * x) \ x. [para(5514(a,1),63(a,1,1))]. 5518 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(68,a,5515,a,b,82,a(flip)),flip(a)]. 5519 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(199,a,4176,a,b,5516,a(flip)),flip(a)]. 5520 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(174(a,1),5516(a,1,1))]. 5521 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5519(a,1),2187(a,1,2)),flip(a)]. 5522 (x * (y / x)) \ x = y \ T(x,x \ y). [para(193(a,1),5518(a,1,1))]. 5523 T(x \ T(y,y \ x),x / y) = L(1 / (x / y),x / y,y). [para(5522(a,1),630(a,1,1))]. 5524 (x * (y / x)) \ x = y \ (y / (y / x)). [para(3905(a,1),5522(a,2,2))]. 5525 x * ((y * (x / y)) \ y) = x / (x / y). [para(5524(a,2),14(a,1,2))]. 5526 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [para(4796(a,1),5524(a,2,2)),flip(a)]. 5527 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(5296(a,1),2396(a,1,2)),flip(a)]. 5528 T(x * K(y \ x,x),y \ 1) != z | R(x,y \ 1,x) = z. [para(5163(a,1),5338(a,1,1,2))]. 5529 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(4624(a,1),5408(a,1,1,1))]. 5530 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4770(a,1),5408(a,1,1))]. 5531 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(199,a,4610,a,b,5424,a)]. 5532 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(107(a,1),5531(a,1,2,2,1))]. 5535 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3304(a,1),5494(a,1,1,2))]. 5536 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(2000(a,1),5501(a,1,2,2,1))]. 5537 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(68,a,4901,a(flip),b,5512,a)]. 5538 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(5527(a,1),3404(a,1,2))]. 5539 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(3917(a,1),5532(a,1,2,2))]. 5540 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(2835(a,1),5536(a,1,2,2)),flip(a)]. 5541 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(68,a,5538,a(flip),b,928,a),flip(a)]. 5544 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3588(a,1),4609(a,1,1,1)),flip(a)]. 5546 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(199,a,4624,a(flip),b,4799,a)]. 5547 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5546(a,1),1475(a,1,2,3))]. 5548 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4809(a,2),4039(a,1,1))]. 5553 L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1. [para(5260(a,1),4918(a,1,1))]. 5554 K(x,R(y / x,z,u)) != w | K(x,R(x \ y,z,u)) = w. [para(170(a,1),4944(a,1,2,1))]. 5560 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3483(a,2),5133(a,2,1,2))]. 5562 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(3086(a,1),5153(a,1,2))]. 5563 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(5202,a,1668,a),flip(a)]. 5564 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(199,a,42,a,b,5230,a)]. 5565 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5259(a,1),5333(a,1,1))]. 5566 T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. [para(40(a,2),5359(a,1,2))]. 5567 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5446(a,1),4127(a,1))]. 5568 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4105(a,1),4582(a,1,2))]. 5569 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(5568(a,2),63(a,1,1))]. 5570 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4599(a,2),4637(a,1,1))]. 5572 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(199,a,4334,a(flip),b,5570,a(flip))]. 5573 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3381(a,1),5570(a,1,1)),flip(a)]. 5574 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(5572(a,2),4340(a,1,2))]. 5575 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(306(a,1),5573(a,1,2,1)),flip(a)]. 5576 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5573(a,1),5570(a,1,1)),flip(a)]. 5578 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4788(a,1),16(a,1,1))]. 5579 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(199,a,5261,a(flip),b,4793,a)]. 5580 ((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(5579(a,1),93(a,1,2,2,1))]. 5581 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(4807(a,1),337(a,1,1))]. 5582 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(199,a,2594,a,b,4871,a(flip)),flip(a)]. 5584 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4600(a,1),4871(a,1,1))]. 5585 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5584(a,1),101(a,1,1))]. 5586 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3085(a,1),5584(a,1,1)),flip(a)]. 5587 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5586(a,1),5008(a,1,1)),flip(a)]. 5588 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(199,a,1391,a(flip),b,4873,a(flip)),flip(a)]. 5589 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(63(a,1),4873(a,1,2,2,1,2))]. 5590 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(105(a,1),4873(a,1,2))]. 5591 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4600(a,1),4877(a,1,1))]. 5592 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4647(a,1),4877(a,1,1))]. 5594 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3085(a,1),5591(a,1,1)),flip(a)]. 5595 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(4912(a,1),5591(a,1,1,1)),flip(a)]. 5596 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5418(a,1),5591(a,1,1)),flip(a)]. 5597 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(199,a,3082,a,b,5592,a)]. 5598 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5594(a,1),4912(a,1,1)),flip(a)]. 5599 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(5594(a,1),5008(a,1,1)),flip(a)]. 5600 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(3083(a,1),5597(a,1,1)),flip(a)]. 5601 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(5600(a,1),4911(a,1,2)),flip(a)]. 5602 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(199,a,799,a(flip),b,4879,a),flip(a)]. 5603 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3071(a,1),4883(a,1,1))]. 5604 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3273(a,1),4883(a,2,2,1))]. 5605 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(73,a,4886,a)]. 5606 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(63(a,1),4886(a,2,1,1))]. 5608 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(799(a,1),4887(a,1,2))]. 5609 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(4883(a,2),4887(a,1,2))]. 5610 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5453,a,4962,a)]. 5611 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),5132(a,2,2))]. 5612 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [para(5196(a,1),16(a,1,1))]. 5613 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1074(a,1),5196(a,1,1))]. 5614 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(1931(a,1),5196(a,1,1))]. 5615 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5198(a,1),14(a,1,2))]. 5616 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4436(a,1),5319(a,1,2))]. 5617 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4425(a,1),5320(a,1,2))]. 5618 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(199,a,5394,a(flip),b,5404,a(flip)),flip(a)]. 5619 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(4612,a,5425,a)]. 5620 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(145(a,2),5619(a,2,1)),flip(a)]. 5621 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(5620(a,1),60(a,1,2))]. 5622 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(5620(a,1),3865(a,1,2,2))]. 5623 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4438(a,1),5621(a,1,2))]. 5624 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5430(a,1),14(a,1,2))]. 5625 (x * y) * (y / (x * y)) = y * K(x \ 1,x * y). [hyper(335,a,5456,a)]. 5626 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(3385(a,1),5476(a,2,2))]. 5627 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2801(a,1),5491(a,1,1,1)),flip(a)]. 5628 K(x,y \ ((z \ K(z,z \ u)) * w)) = K(x,y \ ((1 / ((z \ u) \ u)) * w)). [para(4842(a,1),5499(a,2,2,2,1)),flip(a)]. 5629 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4575(a,1),5500(a,1,2,1)),flip(a)]. 5630 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4770(a,2),5540(a,2,2,2)),flip(a)]. 5631 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(317(a,1),5563(a,1,2,2,1,2))]. 5633 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(199,a,5573,a(flip),b,5598,a(flip))]. 5634 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(5633(a,1),60(a,1,2))]. 5635 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5634(a,1),253(a,1,1)),flip(b)]. 5637 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3071(a,1),5605(a,1,2,1)),flip(a)]. 5640 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(63(a,1),5609(a,1,2,1,1))]. 5641 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3085(a,1),5609(a,1,2,1))]. 5642 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(199,a,5612,a,b,5615,a),flip(a)]. 5643 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(4912(a,1),5624(a,1,2,2,1,1,2))]. 5644 ((x / y) * z) * (z / ((x / y) * z)) = z * K(y / x,(x / y) * z). [para(5442(a,1),5625(a,2,2))]. 5647 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4770(a,1),5642(a,1,1,2))]. 5648 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5235(a,1),5642(a,1,1)),flip(a)]. 5649 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(155,a,5648,a)]. 5651 (x * y) \ (T(y,x) * z) = L(x \ z,T(x,y),y). [para(4909(a,1),4956(a,1,2))]. 5652 L(x \ (x * y),T(x,z),z) = L(y,x,T(z,x)). [hyper(717,a,5651,a),flip(a)]. 5653 L(x,T(y,z),z) = L(x,y,T(z,y)). [para(13(a,1),5652(a,1,1))]. 5655 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5008(a,1),5022(a,1,1))]. 5656 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(199,a,4129,a(flip),b,5023,a(flip))]. 5657 L(x \ (y * z),x,K(y,z)) = (K(y,z) * x) \ (z * y). [para(4622(a,1),5043(a,1,1,2))]. 5658 ((1 / x) * y) * K(x \ 1,x) != z | (x \ 1) * y = z. [para(2246(a,1),5144(a,1))]. 5659 K(x \ 1,x) * K(y,x) != z | (x \ 1) * (x * K(y,x)) = z. [para(3021(a,1),5144(a,1,2))]. 5660 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(146(a,1),5228(a,2,3))]. 5661 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(1399(a,1),5354(a,1,2))]. 5662 T(x,y) \ T(z * T(z \ x,u),y) != w | K((T(x,y) \ T(z,y)) \ 1,u) = w. [para(1810(a,1),5354(a,1,2))]. 5665 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(17,a,4563,a(flip),b,5409,a)]. 5666 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(17,a,4472,a(flip),b,5409,a)]. 5667 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(199,a,4311,a,b,5665,a),flip(a)]. 5668 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(5665(a,2),2475(a,1,1))]. 5669 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(5666(a,1),5597(a,1,1)),flip(a)]. 5671 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(15(a,1),5565(a,2,2))]. 5672 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(4784,a,5671,a),flip(a)]. 5673 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(5574(a,1),4717(a,1,2)),flip(a)]. 5675 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5582(a,1),595(a,1,2))]. 5676 K(x,y) * K(x \ 1,x) != z | (x \ 1) * T(x,y) = z. [para(4643(a,2),5658(a,1,1))]. 5677 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(199,a,5591,a(flip),b,5668,a(flip)),flip(a)]. 5678 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(199,a,4345,a(flip),b,5669,a)]. 5680 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(5678(a,1),2054(a,1,2))]. 5681 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(5676,a,5055,a),flip(a)]. 5684 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(199,a,5667,a(flip),b,5677,a)]. 5686 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(5684(a,1),2282(a,1,1))]. 5687 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(5684(a,1),2727(a,1,1))]. 5688 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(2972(a,1),4755(a,1,1))]. 5689 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(199,a,2361,a(flip),b,4772,a)]. 5690 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3520,a,5689,a)]. 5691 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(199,a,5529,a(flip),b,4928,a)]. 5692 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(4838(a,1),4928(a,2,1,1))]. 5693 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(4050,a,5002,a(flip)),flip(a)]. 5694 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(4051,a,5003,a(flip)),flip(a)]. 5695 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(4875(a,1),5071(a,1,1,2))]. 5696 (x * K(y,z \ 1)) / z = (x / z) * K(y,z \ 1). [hyper(69,a,81,a(flip),b,5695,a)]. 5697 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3381(a,1),5695(a,1,1,2)),flip(a)]. 5699 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(3394(a,1),5120(a,1,2)),flip(a)]. 5701 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(14(a,1),5194(a,1,2,2,1))]. 5703 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(4641(a,1),5195(a,1,1))]. 5704 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(4127,a,5703,a),flip(a)]. 5705 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(199,a,3534,a(flip),b,5703,a(flip))]. 5706 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3381(a,1),5703(a,1,1)),flip(a)]. 5707 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5235(a,1),5703(a,1,1)),flip(a)]. 5708 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),5704(a,1,2,1))]. 5709 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(5705(a,2),5133(a,2,1,2))]. 5710 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(5706(a,1),4652(a,2,2))]. 5711 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(199,a,5241,a(flip),b,5707,a(flip))]. 5712 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(443(a,1),5707(a,1,2,1)),flip(a)]. 5713 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(515(a,1),5707(a,1,2)),flip(a)]. 5714 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),5711(a,2,2,1))]. 5715 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),5711(a,2,2,2))]. 5716 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(60(a,1),5711(a,1,1,2)),flip(a)]. 5717 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(4988(a,1),5715(a,1,1))]. 5718 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(99(a,2),5716(a,1,2))]. 5719 R(K(x,y),T(y,z),u) = K(x,y). [para(3801(a,1),5716(a,1,2)),flip(a)]. 5720 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [hyper(68,a,5719,a(flip),b,2774,a)]. 5721 R(K(x,y),y,z) = K(x,y). [para(104(a,1),5719(a,1,2))]. 5722 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(5719(a,1),101(a,1,1)),flip(a)]. 5723 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(199,a,5239,a(flip),b,5721,a)]. 5724 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(199,a,5584,a(flip),b,5721,a(flip)),flip(a)]. 5725 R(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. [para(5721(a,2),5244(a,1))]. 5726 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(660(a,1),5724(a,1,1,1))]. 5727 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),5718(a,1,2,2)),flip(a)]. 5728 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(126(a,1),5718(a,1,2,2)),flip(a)]. 5729 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(4953(a,1),5718(a,1,2,2)),flip(a)]. 5730 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(4127,a,5727,a),flip(a)]. 5731 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(199,a,5584,a(flip),b,5727,a(flip)),flip(a)]. 5732 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(4902(a,1),5720(a,1,1))]. 5733 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(4127,a,5717,a),flip(a)]. 5734 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(199,a,5235,a,b,5717,a)]. 5735 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(5717(a,1),4127(a,1))]. 5737 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1458(a,1),5733(a,1,2)),flip(a)]. 5738 L(x,T(y,z),K(u,y)) = x. [hyper(391,a,5722,a)]. 5739 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(455(a,1),5708(a,1,2,1)),flip(a)]. 5740 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(60(a,1),5712(a,1,1,2)),flip(a)]. 5741 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(146(a,2),5723(a,1,2))]. 5742 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(15(a,1),5734(a,1,1,2,1))]. 5743 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(5734(a,1),42(a,2,1))]. 5744 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(16(a,1),5742(a,2,2,1,2))]. 5745 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(4845(a,1),5326(a,1,1,1)),flip(a)]. 5746 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3618(a,1),5427(a,1,2)),flip(a)]. 5747 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(42(a,2),5429(a,2,2))]. 5748 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4442,a,5432,a),flip(a)]. 5749 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(5440(a,1),5286(a,1,2)),flip(a)]. 5750 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(5472,a,5469,a(flip)),flip(a)]. 5753 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5504,a,5506,a),flip(a)]. 5754 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(5511(a,1),5501(a,1,2,2))]. 5755 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(5528,a,5231,a),flip(a)]. 5756 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(5544(a,2),197(a,1))]. 5757 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(5756,a,4738,a),flip(a)]. 5758 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(199,a,5681,a(flip),b,5560,a)]. 5759 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(5706(a,1),5587(a,1,1)),flip(a)]. 5760 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(3274,a,5759,a)]. 5761 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(507,a,5759,a)]. 5762 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(480,a,5759,a)]. 5763 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(68,a,4737,a(flip),b,5759,a(flip))]. 5764 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(5759(a,2),75(a,1)),flip(b)]. 5765 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(5760(a,1),5569(a,1,1,2,2))]. 5766 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(213,a,5761,a)]. 5767 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(199,a,4981,a(flip),b,5588,a(flip))]. 5768 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4884(a,1),5588(a,1,1))]. 5769 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(199,a,5491,a(flip),b,5589,a)]. 5770 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(799(a,1),5589(a,1,2)),flip(a)]. 5771 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5573(a,1),5599(a,1,1)),flip(a)]. 5772 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(254,a,5771,a)]. 5774 L(K(x,y),z,u) \ w = L(K(x,y),z,u) * w. [para(4738(a,1),5771(a,1,1,1))]. 5775 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(5772(a,1),19(a,1)),flip(a)]. 5776 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5772(a,1),254(a,1,2)),flip(b)]. 5777 L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(18,a,5771,a(flip),b,5774,a(flip))]. 5778 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [para(5602(a,1),14(a,1,2))]. 5779 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(199,a,5096,a,b,5603,a(flip))]. 5780 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(5779(a,1),5129(a,1,2,1)),flip(a)]. 5781 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(199,a,5617,a(flip),b,5616,a(flip))]. 5782 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(199,a,5605,a(flip),b,5637,a)]. 5783 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),5647(a,2,2,2,1))]. 5785 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(5688(a,1),427(a,1))]. 5786 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(69,a,5690,a(flip),b,2648,a)]. 5787 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(199,a,5681,a(flip),b,5709,a)]. 5788 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4542(a,1),5737(a,1,2,1))]. 5790 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(846(a,1),5769(a,1,2)),flip(a)]. 5791 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(5767(a,1),5778(a,1,2,2))]. 5792 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(5791(a,1),1595(a,2,2,1))]. 5793 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(17,a,5758,a(flip),b,5787,a(flip)),flip(a)]. 5794 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(3673,a,5793,a),flip(a)]. 5795 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(5794(a,1),1505(a,1,2))]. 5796 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(199,a,229,a(flip),b,5795,a(flip)),flip(a)]. 5798 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(199,a,3574,a(flip),b,5796,a(flip)),flip(a)]. 5799 x / R(x,y,z) = R(x,y,z) \ x. [hyper(1685,a,5798,a)]. 5800 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(154,a,5798,a,b,1503,a)]. 5802 (R(x,y,z) \ x) * R(x,y,z) = x. [para(5799(a,1),16(a,1,1))]. 5803 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(5799(a,1),5711(a,1,1,2))]. 5804 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(5799(a,2),5331(a,1,2,1))]. 5805 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(5802(a,1),4382(a,1,1,1))]. 5806 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(4734,a,5805,a)]. 5807 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(4778(a,1),2190(a,1,2))]. 5808 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4954(a,1),411(a,1,1))]. 5809 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(4999(a,1),5020(a,1,2))]. 5810 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5174(a,1),5134(a,1,1,1))]. 5811 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(199,a,5759,a(flip),b,5301,a(flip)),flip(a)]. 5812 K(x / (y \ 1),1 / z) != u | K(x / (1 / y),1 / z) = u. [para(3385(a,2),5324(a,1))]. 5813 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4600(a,1),5355(a,1,1))]. 5815 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4585(a,1),5386(a,1,1)),flip(a)]. 5816 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(199,a,40,a,b,5815,a)]. 5817 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5816(a,1),44(a,1,1)),flip(a)]. 5818 L((x / y) \ z,y \ x,y) = x \ (T(y,y \ x) * z). [para(4626(a,1),5462(a,1,2)),flip(a)]. 5820 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(63(a,1),5623(a,1,2,2)),flip(a)]. 5821 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(5659,a,5161,a)]. 5822 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(4818,a,5821,a)]. 5823 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(3676,a,5673,a)]. 5824 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5823(a,1),16(a,1,1))]. 5825 (L(x,y,z) \ x) * L(x,y,z) = x. [para(5824(a,1),1459(a,1,1))]. 5826 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(73,a,5825,a)]. 5827 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(68,a,5719,a(flip),b,5766,a(flip)),flip(a)]. 5828 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5265(a,1),5827(a,1,1))]. 5829 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(199,a,4250,a(flip),b,5810,a)]. 5830 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(4782(a,1),5366(a,1))]. 5831 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1686,a,4798,a),flip(a)]. 5832 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4695(a,1),4826(a,1,2)),flip(a)]. 5833 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1529(a,1),5832(a,2,2))]. 5834 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [para(431(a,1),4978(a,1,1))]. 5835 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(199,a,4979,a(flip),b,5834,a(flip)),flip(a)]. 5836 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(14(a,1),5835(a,1,2)),flip(a)]. 5837 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(5835(a,1),46(a,1,1)),flip(a)]. 5838 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4016(a,1),5835(a,1,2)),flip(a)]. 5839 K(R(x,x \ 1,y),z) = K(x,z). [hyper(199,a,293,a(flip),b,5836,a)]. 5840 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(5836(a,2),101(a,1,1))]. 5841 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(99(a,1),5836(a,1,1))]. 5842 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(199,a,5672,a(flip),b,5839,a)]. 5843 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(63(a,1),5841(a,1,1,2,1)),flip(a)]. 5844 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),5843(a,2,1,2))]. 5845 K((x * y) / z,x) = K(x / (z / y),x). [hyper(199,a,5721,a(flip),b,5844,a(flip))]. 5846 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(199,a,4991,a(flip),b,5845,a)]. 5847 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(5845(a,2),4992(a,1))]. 5848 T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4699(a,1),5050(a,1,1))]. 5849 T(x,y) / (T(x,y) * y) = x / (x * y). [para(4662(a,1),5848(a,2,2))]. 5850 (x / (x * y)) \ T(x,y) = T(x,y) * y. [para(5849(a,1),63(a,1,1))]. 5851 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(199,a,5262,a(flip),b,5063,a)]. 5852 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(5851(a,1),3198(a,1,2))]. 5853 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(4948(a,1),5165(a,1,1,2)),flip(a)]. 5854 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(105(a,1),5428(a,2,2))]. 5855 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(199,a,1626,a(flip),b,5435,a(flip))]. 5856 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(5855(a,1),19(a,1))]. 5857 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1397(a,1),5441(a,1,1))]. 5858 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(752(a,1),5614(a,1,1,1))]. 5859 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(63(a,1),5640(a,2,1,1))]. 5860 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),5859(a,1,2,2)),flip(a)]. 5862 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(68,a,5860,a,b,105,a)]. 5864 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3085(a,1),5641(a,2,1))]. 5866 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),5864(a,1,2,2)),flip(a)]. 5867 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),5864(a,1,2,2))]. 5869 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(105(a,1),5866(a,2,2))]. 5870 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(4884(a,2),5643(a,1,2))]. 5871 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5431(a,1),5643(a,1,2)),flip(a)]. 5872 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(4024(a,1),5693(a,1,2))]. 5873 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(4024(a,1),5694(a,1,2))]. 5874 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3381(a,1),5697(a,1,2)),flip(a)]. 5875 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(2817(a,1),5754(a,1,2,2,1)),flip(a)]. 5876 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(273,a,5768,a)]. 5877 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(199,a,5588,a,b,5770,a(flip)),flip(a)]. 5878 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4922(a,1),5831(a,1,2)),flip(a)]. 5879 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(199,a,4789,a(flip),b,5878,a)]. 5880 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),5879(a,1,1,1)),flip(a)]. 5881 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(5852(a,1),3553(a,1,1)),flip(a)]. 5882 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(5852(a,1),4490(a,1,2))]. 5883 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(73,a,5870,a)]. 5884 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(5870(a,1),19(a,1))]. 5885 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(5871(a,2),19(a,1))]. 5886 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(5883(a,1),4398(a,1,1))]. 5887 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),5886(a,1,1,2,1)),flip(a)]. 5888 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(5887(a,2),20(a,1))]. 5889 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5014(a,1),5067(a,1,2,2)),flip(a)]. 5890 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5727(a,1),5308(a,1,1))]. 5891 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(5746(a,2),5661(a,1))]. 5892 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4043(a,1),5880(a,1,1)),flip(a)]. 5893 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(199,a,1141,a(flip),b,5892,a)]. 5894 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(18,a,4813,a,b,5893,a)]. 5895 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(199,a,5315,a,b,5894,a)]. 5896 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4031(a,1),5895(a,1,2))]. 5897 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(5896(a,1),63(a,1,1))]. 5898 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5315(a,1),5897(a,1,1))]. 5899 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4624(a,2),5898(a,1,1,2))]. 5900 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(930(a,1),5541(a,1,2))]. 5901 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),5613(a,1,1,2,2,1))]. 5902 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(199,a,5235,a(flip),b,5901,a)]. 5903 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(5902(a,1),446(a,1,1))]. 5904 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(5730(a,1),5728(a,1,1))]. 5905 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(199,a,5131,a(flip),b,5780,a(flip)),flip(a)]. 5906 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(199,a,4091,a(flip),b,5905,a)]. 5908 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(199,a,4276,a(flip),b,5906,a)]. 5909 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(199,a,44,a(flip),b,5817,a)]. 5910 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4598(a,2),5833(a,1,2)),flip(a)]. 5911 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(199,a,4679,a(flip),b,5910,a)]. 5912 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3168(a,1),5911(a,1,2))]. 5913 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(5912(a,1),63(a,1,1))]. 5914 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(4959(a,1),5858(a,1,1,1)),flip(a)]. 5915 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(199,a,4379,a(flip),b,5914,a)]. 5916 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(199,a,5235,a(flip),b,5915,a(flip)),flip(a)]. 5917 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4150(a,1),5916(a,1,2))]. 5918 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(663,a,5862,a)]. 5919 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(5918(a,1),5596(a,1,1,1)),flip(a)]. 5920 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(199,a,5418,a(flip),b,5919,a)]. 5921 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(5920(a,1),644(a,1,2,1)),flip(a)]. 5922 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4808(a,1),672(a,2,1)),flip(a)]. 5923 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5234,a,5922,a)]. 5924 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4810(a,1),838(a,1,1,1))]. 5925 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(105(a,1),4889(a,1,2))]. 5926 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(799(a,1),4889(a,1,2))]. 5927 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(4558,a,5925,a)]. 5928 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(4891(a,1),5927(a,1,2)),flip(a)]. 5929 R(x,K(y \ 1,z),z) = x. [hyper(2988,a,5928,a)]. 5930 R(x,K(y,z),z) = x. [para(63(a,1),5929(a,1,2,1))]. 5931 (x * K(y,z)) * z = x * (z * K(y,z)). [para(5930(a,1),2987(a,1,1)),flip(a)]. 5932 R(x,K(y,z),y) = x. [para(4738(a,1),5930(a,1,2))]. 5933 R(x,R(K(y,z),u,w),y) = x. [para(5706(a,1),5932(a,1,2))]. 5934 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(5933(a,1),101(a,1,1)),flip(a)]. 5935 (x * K(y,z)) * z = x * T(z,y). [para(4685(a,2),5931(a,2,2))]. 5936 (x / T(y,z)) * K(z,y) = x / y. [hyper(69,a,16,a(flip),b,5935,a),flip(a)]. 5937 (x * y) * K(z,y) = x * T(y,z). [hyper(18,a,1103,a,b,5935,a)]. 5939 (x * K(y,z)) * y = x * T(y,z). [para(4738(a,1),5935(a,1,1,2))]. 5940 (x / y) / K(z,T(y,x)) = T(x,y) / T(T(y,x),z). [hyper(69,a,1132,a(flip),b,5936,a)]. 5941 (x / T(y,z)) * K(y,z) = x / y. [hyper(199,a,4745,a,b,5936,a(flip)),flip(a)]. 5943 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(170(a,1),5936(a,1,1,2))]. 5944 (x / ((y * z) / y)) * K(y,z) = x / z. [para(185(a,1),5936(a,1,1,2))]. 5945 (x / y) * K(x,y) = T(x,y) / y. [para(1132(a,1),5936(a,1,1))]. 5947 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(199,a,5935,a,b,5937,a),flip(a)]. 5948 (x * y) * K(y,z) = x * T(y,z). [hyper(199,a,4745,a,b,5937,a(flip)),flip(a)]. 5949 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(68,a,5937,a(flip),b,4745,a)]. 5950 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(170(a,1),5937(a,2,2))]. 5952 (x * y) * K(z,y) = x * (y * K(z,y)). [para(4685(a,1),5937(a,2,2))]. 5954 x * T(y * K(x,z),x) = y * T(x,z). [hyper(216,a,5939,a)]. 5956 x \ (y * T(x,z)) = T(y * K(x,z),x). [hyper(154,a,5939,a,b,14,a),flip(a)]. 5957 (x * T(y,z)) / y = x * K(y,z). [hyper(79,a,5939,a)]. 5958 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(73,a,5939,a)]. 5959 (1 / x) * K(x,y) = K(x,y) / x. [hyper(69,a,4643,a,b,5939,a),flip(a)]. 5960 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,1108,a,b,5939,a),flip(a)]. 5961 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(18,a,4124,a(flip),b,5939,a)]. 5962 x * T(y,z) != u * y | x * K(y,z) = u. [para(5939(a,1),20(a,1))]. 5963 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5939(a,1),24(a,2,1,2)),flip(a)]. 5964 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5939(a,1),145(a,2,1))]. 5966 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(5939(a,1),255(a,1,2))]. 5967 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4617(a,1),5939(a,1,1))]. 5968 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5939(a,1),5371(a,1,2,1))]. 5969 (x * T(y,z)) * z = (x * y) * T(z,y). [para(5937(a,1),5939(a,1,1))]. 5970 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(107(a,1),5941(a,1,1,2))]. 5971 (x / y) / K(y,z) != u | x / T(y,z) = u. [para(5941(a,1),262(a,1,1)),flip(b)]. 5972 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5381,a,5945,a)]. 5973 R(x,y,K(y,z)) = x. [hyper(4715,a,5948,a)]. 5974 L(K(x,y),x,z) = K(x,y). [hyper(4714,a,5948,a)]. 5975 x \ (y * K(x \ y,z)) = T(x \ y,z). [hyper(522,a,5948,a)]. 5976 x * T(x \ y,z) = y * K(x \ y,z). [hyper(474,a,5948,a),flip(a)]. 5979 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(154,a,5948,a,b,14,a),flip(a)]. 5980 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(68,a,16,a(flip),b,5948,a)]. 5982 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(5948(a,1),474(a,1))]. 5986 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(5948(a,1),429(a,1,1))]. 5989 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4622(a,1),5948(a,1,1)),flip(a)]. 5994 R(K(x,y),x,z) = L(K(x,y),x,u). [hyper(199,a,3849,a,b,5974,a),flip(a)]. 5995 a(x,y,K(y,z)) = 1. [hyper(34,a,5974,a)]. 5996 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(5974(a,1),44(a,1,1)),flip(a)]. 5997 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(5974(a,1),465(a,1,2,1))]. 6000 a(x,y,K(z,y)) = 1. [para(4738(a,1),5995(a,1,3))]. 6001 L(K(x,y),y,z) = K(x,y). [hyper(33,a,6000,a)]. 6002 L(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(199,a,5235,a,b,6001,a)]. 6003 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(199,a,4832,a,b,6001,a)]. 6005 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(199,a,5575,a(flip),b,6001,a(flip)),flip(a)]. 6006 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6001(a,1),45(a,1,1)),flip(a)]. 6007 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5949(a,1),211(a,1,2)),flip(b)]. 6011 L(x,K(x,y),z) = x. [hyper(4732,a,5958,a)]. 6012 L(T(x,y),K(x,z),u) = T(x,y). [para(6011(a,1),40(a,2,1))]. 6013 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6011(a,1),398(a,1,2,1))]. 6014 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6011(a,1),4551(a,1,1,2)),flip(a)]. 6016 L(x,K(y,x),z) = x. [para(4738(a,1),6011(a,1,2))]. 6017 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6016(a,1),396(a,1,2,1))]. 6018 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6016(a,1),397(a,1,2,1))]. 6019 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6016(a,1),398(a,1,2,1))]. 6021 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6012(a,1),45(a,1,1)),flip(a)]. 6022 T(x,(x / y) / x) = T(x,1 / y). [hyper(154,a,5110,a(flip),b,5960,a)]. 6023 (x * T(y,z)) / T(z,y) = (x * y) / z. [hyper(69,a,5937,a(flip),b,5960,a)]. 6026 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(68,a,5960,a(flip),b,5939,a)]. 6027 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(73,a,5961,a),flip(a)]. 6028 L(K(x,y),x,z) != u | K(x,y) = u. [para(5994(a,1),4127(a,1))]. 6029 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5188,a,6005,a)]. 6030 K((x \ y) \ 1,z) = K(z,y \ x). [hyper(4862,a,6005,a)]. 6031 L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 1). [hyper(199,a,6001,a,b,6005,a),flip(a)]. 6032 K(x,(y \ z) \ 1) = K(z \ y,x). [hyper(199,a,4738,a,b,6005,a)]. 6033 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(199,a,2634,a(flip),b,6005,a)]. 6034 T(K(x,y / z),y) = K(x,z \ y). [hyper(199,a,5649,a,b,6005,a(flip)),flip(a)]. 6035 K(x,(y * z) \ y) = K(x,z \ 1). [para(13(a,1),6005(a,1,2,1)),flip(a)]. 6036 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),6005(a,2,2))]. 6037 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),6005(a,1,2,1)),flip(a)]. 6039 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(601(a,1),6005(a,1,2,1)),flip(a)]. 6041 T(x,(y \ z) \ 1) = x * K(x,z \ y). [para(6005(a,1),4652(a,2,2))]. 6042 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5008(a,1),6005(a,1,2,1))]. 6043 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5008(a,1),6005(a,2,2))]. 6044 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6005(a,1),5156(a,1,1))]. 6045 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6005(a,1),5615(a,1,2))]. 6046 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6005(a,1),5703(a,1,1)),flip(a)]. 6047 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6022(a,1),5477(a,1,1))]. 6049 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(28(a,2),6029(a,1,2,2)),flip(a)]. 6051 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(199,a,4738,a,b,6030,a)]. 6053 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(6030(a,2),4862(a,1))]. 6054 K(x \ y,z) != u | K((y \ x) \ 1,z) = u. [para(6032(a,1),4862(a,1))]. 6055 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6032(a,2),4862(a,1))]. 6056 K(x,(y \ z) \ z) = T(K(x,y),z). [para(60(a,1),6034(a,1,1,2)),flip(a)]. 6060 K(x,L(y \ 1,y,z)) = K(x,y \ 1). [para(145(a,2),6035(a,1,2))]. 6065 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(5891,a,6051,a)]. 6066 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(199,a,574,a(flip),b,6051,a)]. 6067 T(K(x / y,z),x) = K(y \ x,z). [hyper(199,a,5433,a,b,6051,a(flip)),flip(a)]. 6068 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(199,a,5427,a,b,6051,a(flip)),flip(a)]. 6069 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(199,a,5436,a(flip),b,6051,a(flip))]. 6073 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(94(a,2),6051(a,1,1,1))]. 6077 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5008(a,1),6051(a,1,1,1))]. 6078 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(6051(a,1),5153(a,1,2))]. 6079 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6051(a,1),5591(a,1,1)),flip(a)]. 6080 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6051(a,1),5430(a,2,2))]. 6081 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6051(a,1),5624(a,1,2,2))]. 6082 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6051(a,1),5748(a,1,2))]. 6083 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6051(a,1),5854(a,1,2))]. 6084 K(x,T(y,y \ z)) = T(K(x,y),z). [para(106(a,2),6056(a,1,2))]. 6085 K(x,T(y,z / y)) = T(K(x,y),z). [para(3963(a,2),6056(a,1,2))]. 6086 T(K(x,y),z * y) = K(x,T(y,z)). [para(3953(a,2),6056(a,1,2)),flip(a)]. 6088 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(68,a,6066,a(flip),b,4600,a),flip(a)]. 6091 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6066(a,1),4719(a,1,2))]. 6093 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(3057,a,6067,a)]. 6094 T(K(x \ y,z),y) = K(y / x,z). [para(6067(a,1),47(a,1,1))]. 6095 K(x / y,z) * x = x * K(y \ x,z). [para(6067(a,1),105(a,1,2)),flip(a)]. 6096 K(x \ y,z) * y = y * K(y / x,z). [para(6067(a,1),166(a,1,1))]. 6097 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(6067(a,1),338(a,1,1)),flip(b)]. 6098 K(T(x,x \ y),z) = T(K(x,z),y). [para(106(a,2),6069(a,1,1))]. 6099 T(K(x,y),y * z) = K(x,T(y,z)). [para(13(a,1),6084(a,1,2,2)),flip(a)]. 6100 K(x / y,x / z) = K(y \ x,z \ x). [hyper(199,a,6034,a(flip),b,6094,a(flip))]. 6101 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(6094(a,1),256(a,1,2,2))]. 6104 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(199,a,6086,a,b,6099,a),flip(a)]. 6105 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(199,a,6094,a(flip),b,6099,a(flip))]. 6106 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6099(a,1),105(a,1,2))]. 6108 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(5944(a,1),825(a,2,1,2))]. 6109 (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(5944(a,1),4396(a,1,2,1))]. 6114 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(5952(a,1),5939(a,1,1))]. 6115 ((x * T(y,z)) * z) / (z * y) = R(x,y,T(z,y)). [hyper(69,a,5969,a,b,434,a)]. 6116 (x * (y * z)) \ ((x * T(z,y)) * y) = a(x,z,T(y,z)). [hyper(68,a,5969,a,b,596,a)]. 6118 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(185(a,1),5969(a,1,1,2))]. 6124 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5976(a,2),254(a,1,2)),flip(b)]. 6125 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(5976(a,2),93(a,1,2,2)),flip(a)]. 6126 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(5976(a,1),879(a,1,1))]. 6127 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5976(a,1),1626(a,2,1))]. 6128 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(5976(a,2),2985(a,1,1,1)),flip(a)]. 6130 ((x * y) * z) / (y * z) = R(x,y,T(z,y * z)). [hyper(1116,a,6023,a),flip(a)]. 6132 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(199,a,4652,a,b,6041,a)]. 6138 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),6132(a,1,2,1)),flip(a)]. 6139 T(x,((y * z) \ y) \ 1) = T(x,z). [para(13(a,1),6132(a,2,2))]. 6141 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(32(a,2),6132(a,1,2,1))]. 6142 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [para(6132(a,1),105(a,1,2))]. 6143 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6132(a,1),352(a,1))]. 6144 T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). [para(6132(a,1),3990(a,1,1))]. 6145 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6138(a,2),2057(a,1))]. 6146 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(145(a,2),6139(a,1,2,1))]. 6148 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(6139(a,1),2901(a,1,2))]. 6149 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(199,a,5622,a,b,6146,a(flip)),flip(a)]. 6152 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6141(a,2),181(a,1,2))]. 6154 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(16(a,1),6149(a,1,2,2,1))]. 6156 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [para(5996(a,1),388(a,1,2)),flip(a)]. 6158 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(4664(a,2),6007(a,1,1))]. 6160 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(32(a,2),6053(a,1,1,1))]. 6162 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(5426(a,2),6053(a,1))]. 6163 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(94(a,2),6055(a,1,2,1))]. 6164 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3385(a,2),6055(a,1))]. 6165 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5008(a,1),6055(a,1,2,1))]. 6166 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(5649(a,2),6055(a,1))]. 6167 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6069(a,2),6097(a,1))]. 6168 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3125(a,1),6166(a,1))]. 6169 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(268,a,5950,a),flip(a)]. 6173 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(199,a,4998,a(flip),b,5979,a(flip))]. 6174 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(5284,a,6173,a)]. 6175 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(16(a,1),6173(a,1,1)),flip(a)]. 6177 T(x * y,K(z,y)) != y * u | T(x,T(y,z)) = u. [para(6174(a,2),19(a,1))]. 6179 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(73,a,6175,a)]. 6180 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(199,a,1886,a(flip),b,6045,a),flip(a)]. 6181 x * ((y * (x \ z)) / y) != z * u | K(y,x \ z) = u. [para(6045(a,1),19(a,1))]. 6182 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6077(a,1),5417(a,2,1))]. 6183 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(199,a,4381,a(flip),b,6080,a(flip)),flip(a)]. 6185 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6080(a,1),4399(a,1,1))]. 6186 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(199,a,5846,a(flip),b,6105,a)]. 6187 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(6105(a,2),5847(a,1))]. 6188 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(199,a,5112,a(flip),b,6106,a)]. 6190 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(6002(a,1),3860(a,1)),flip(b)]. 6192 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(5901(a,2),6190(a,1))]. 6193 K(x,(y * (z / u)) \ y) != w | K(x,u / z) = w. [para(6035(a,2),6190(a,1))]. 6194 L(x * y,K(y * x,z),u) = x * y. [para(13(a,1),6014(a,2,1))]. 6195 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6194(a,1),92(a,1,2))]. 6196 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6021(a,1),218(a,1,2))]. 6197 R(x,T(y,z),z) = R(x,y,T(z,y)). [hyper(726,a,6115,a)]. 6198 R(x,y,T(z,y)) != u | R(x,T(y,z),z) = u. [para(6115(a,1),726(a,1))]. 6199 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(170(a,1),6197(a,1,2)),flip(a)]. 6200 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [para(4685(a,1),6197(a,1,2))]. 6202 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1209(a,1),6124(a,1,2))]. 6203 R(x,y,T(z,y * z)) != u | R(x,y,z) = u. [para(6130(a,1),436(a,1))]. 6205 K(x,y) != z | R(K(x,y),y,u) = z. [para(5721(a,1),6203(a,1))]. 6207 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(6160,a,5419,a)]. 6208 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(3917(a,2),6167(a,1,1))]. 6209 K(x,(y * z) \ z) != u | K(x,z / (z * y)) = u. [para(194(a,1),6193(a,1,2,1))]. 6210 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5156(a,1),5972(a,1,2))]. 6211 (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(6210(a,1),502(a,1,2))]. 6212 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4422,a,5989,a(flip))]. 6213 R(x,K(y,z),T(z,u)) = x. [hyper(427,a,6017,a)]. 6214 (x * K(y,z)) * T(z,y) = x * z. [para(4618(a,1),6017(a,2,2))]. 6215 (x * K(y,z)) * K(z,y) = x. [hyper(5962,a,6214,a)]. 6216 (x / T(y,z)) * y = x * K(z,y). [hyper(1122,a,6214,a)]. 6217 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(73,a,6214,a)]. 6218 (x / y) * K(z,y) = x / T(y,z). [hyper(69,a,16,a(flip),b,6214,a),flip(a)]. 6219 x / T(y \ x,z) = y * K(z,y \ x). [hyper(69,a,14,a(flip),b,6214,a)]. 6220 (x \ y) * K(y,x) = x \ T(y,x). [hyper(18,a,4124,a,b,6214,a)]. 6221 (x * ((y * z) / y)) * K(z,y) = x * z. [hyper(18,a,6118,a(flip),b,6214,a)]. 6222 (x * K(y,z)) * K(y,z) = x. [hyper(18,a,5935,a(flip),b,6214,a)]. 6223 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(18,a,5681,a(flip),b,6214,a)]. 6224 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,1103,a(flip),b,6214,a)]. 6227 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(5948(a,1),6214(a,1,1))]. 6228 x / K(y,z) = x * K(z,y). [hyper(268,a,6215,a),flip(a)]. 6231 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(154,a,6215,a,b,5014,a)]. 6232 (x * K(y,z)) \ x = K(z,y). [hyper(73,a,6215,a)]. 6233 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(18,a,5950,a,b,6215,a)]. 6234 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(18,a,5944,a,b,6215,a),flip(a)]. 6235 (x / y) * K(y,z) = x / T(y,z). [hyper(18,a,5936,a,b,6215,a)]. 6236 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(18,a,5277,a,b,6215,a)]. 6237 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(18,a,1914,a,b,6215,a)]. 6238 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(18,a,166,a,b,6215,a)]. 6240 (x * K(y,z)) / z = x / T(z,y). [hyper(69,a,6215,a(flip),b,5960,a),flip(a)]. 6241 x / K(y,z) = x * K(y,z). [hyper(69,a,6215,a(flip),b,4745,a)]. 6242 (x * K(y,z)) \ x = K(y,z). [hyper(68,a,6215,a(flip),b,4745,a)]. 6243 x * K(y,z) != u | u * K(z,y) = x. [para(6215(a,1),20(a,1)),flip(a)]. 6244 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6215(a,1),28(a,2,2,2))]. 6245 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6215(a,1),254(a,1,2)),flip(b)]. 6246 x / K(y,z) != u | x * K(z,y) = u. [para(6215(a,1),262(a,1,1)),flip(b)]. 6249 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(6215(a,1),597(a,1,1,2))]. 6250 x * K(y,z) != u | u * K(y,z) = x. [para(6215(a,1),4834(a,1)),flip(a)]. 6251 T(x * K(y,z),K(y,z)) = K(y,z) * x. [para(6215(a,1),5044(a,1,2)),flip(a)]. 6252 (x * K(y,z)) / y = x / T(y,z). [hyper(69,a,6222,a(flip),b,5960,a),flip(a)]. 6253 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(343,a,6228,a)]. 6255 (x * y) / K(z,y) = x * T(y,z). [hyper(199,a,5948,a(flip),b,6228,a)]. 6256 (x * K(y,z)) * K(z,y) != u | u = x. [para(6228(a,1),207(a,1,1))]. 6259 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6228(a,1),441(a,1,1))]. 6260 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(6228(a,1),3572(a,1,1,2))]. 6261 x / (K(y,z) \ 1) = x * K(y,z). [para(4912(a,2),6228(a,1,2))]. 6263 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(6228(a,1),5238(a,2,2))]. 6264 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6228(a,1),5971(a,1))]. 6265 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(199,a,5573,a(flip),b,6232,a)]. 6267 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6232(a,2),5008(a,1,1))]. 6268 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5369(a,1),6232(a,1,1))]. 6269 (x * T(x \ y,z)) \ y = K(z,(y \ x) \ 1). [para(4884(a,2),6232(a,1,1))]. 6270 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(5836(a,1),6232(a,1,1,2)),flip(a)]. 6271 (x * (y * K(z,y))) \ (x * y) = K(y,z). [para(5952(a,1),6232(a,1,1))]. 6272 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5976(a,2),6232(a,1,1))]. 6273 (x * K(y,z)) * K(y,z) != u | u = x. [para(6241(a,1),207(a,1,1))]. 6275 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(154,a,6216,a,b,14,a),flip(a)]. 6279 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6216(a,1),5948(a,1,1)),flip(a)]. 6281 (x * K(y,z)) \ (x * y) = T(y,z). [para(4738(a,1),6217(a,1,1,2))]. 6283 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(68,a,6218,a(flip),b,5080,a(flip)),flip(a)]. 6284 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(6218(a,1),521(a,1))]. 6285 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),6220(a,1,1)),flip(a)]. 6286 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(6223(a,1),102(a,2,2))]. 6287 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(106(a,1),6224(a,1,1,2))]. 6288 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(6224(a,1),429(a,1,2)),flip(a)]. 6289 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(6224(a,1),5044(a,1,2)),flip(a)]. 6291 x / (y * K(z,y)) = (x / y) * K(y,z). [para(4685(a,1),6235(a,2,2)),flip(a)]. 6292 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6240(a,1),3914(a,1,1,2))]. 6293 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(6240(a,1),3922(a,1,1,1,2))]. 6294 x \ (y * K(x,z)) = T(y / T(x,z),x). [para(6252(a,1),107(a,1,1)),flip(a)]. 6295 T(x / T(y,z),y) != u | y \ (x * K(y,z)) = u. [para(6252(a,1),337(a,1,1))]. 6297 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(154,a,6261,a(flip),b,5014,a),flip(a)]. 6299 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(199,a,4685,a(flip),b,6281,a)]. 6300 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5405(a,1),6245(a,1,1))]. 6301 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5409(a,1),6245(a,1,1))]. 6302 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(5952(a,1),6245(a,1,1))]. 6305 x * K(y,z) != u | x * K(z,y) = u. [para(6241(a,1),6246(a,1))]. 6308 K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,y \ ((z * K(u,z \ 1)) \ w)). [para(6219(a,1),5498(a,1,2,2,1)),flip(a)]. 6309 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(268,a,6221,a),flip(a)]. 6312 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(68,a,92,a(flip),b,6227,a)]. 6313 T(K(x,y) * z,K(y,x)) = z * K(x,y). [para(6231(a,1),47(a,1,1))]. 6314 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(6231(a,1),189(a,1,1,1))]. 6315 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6231(a,1),5276(a,1,1))]. 6318 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5008(a,2),6236(a,1,1))]. 6319 T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). [para(6251(a,1),5293(a,1,1))]. 6321 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(784(a,1),6272(a,1,1))]. 6322 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1297(a,1),6272(a,1,1))]. 6323 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1399(a,1),6272(a,1,1))]. 6324 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1810(a,1),6272(a,1,1))]. 6325 K((x \ 1) \ y,x) = K(x * y,x). [hyper(17,a,6080,a(flip),b,6285,a(flip)),flip(a)]. 6326 x * (y * K(x * y,x)) = T(x * y,x). [para(6285(a,1),14(a,1,2))]. 6327 (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(6285(a,2),4777(a,1,1))]. 6328 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(6096(a,2),6285(a,2,2,1)),flip(a)]. 6329 K((1 / x) \ y,x) = K(x * y,x). [hyper(199,a,5177,a,b,6325,a(flip)),flip(a)]. 6330 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6299(a,1),1674(a,1,1)),flip(a)]. 6332 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(3900(a,1),6309(a,1,1,2))]. 6333 (x / (y * K(z,y))) * y = x * K(y,z). [para(4624(a,1),6309(a,1,1,2))]. 6334 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(122(a,1),6264(a,1,1))]. 6335 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6268(a,1),1208(a,2,2,1))]. 6336 T(x,K(y,(x \ z) \ 1)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(6269(a,1),1155(a,1,1,2))]. 6337 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(18,a,4120,a,b,6287,a)]. 6338 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(4911(a,2),6297(a,1,1))]. 6339 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6240(a,1),6332(a,1,1)),flip(a)]. 6347 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6053,a,6065,a),flip(a)]. 6348 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4568(a,1),6068(a,1,2))]. 6350 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(17,a,6082,a,b,6083,a)]. 6351 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6350(a,1),4911(a,1,2))]. 6352 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(4917,a,6351,a),flip(a)]. 6353 K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. [para(6351(a,1),4917(a,1))]. 6355 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(145(a,2),6088(a,1,1,1))]. 6358 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(4756,a,6126,a)]. 6359 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(199,a,107,a(flip),b,6154,a)]. 6360 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(6359(a,1),181(a,1,2))]. 6361 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5187(a,1),6183(a,2,2))]. 6362 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(199,a,5718,a(flip),b,6270,a(flip))]. 6363 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [para(6362(a,1),60(a,1,2))]. 6364 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(6338(a,2),166(a,1,1))]. 6365 T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(2899(a,1),6360(a,2,2))]. 6366 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(345(a,2),6049(a,1,2))]. 6367 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(199,a,6079,a(flip),b,6073,a(flip)),flip(a)]. 6368 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),6367(a,2,1,1))]. 6369 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),6367(a,2,1,2))]. 6370 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(63(a,1),6367(a,1,1,1)),flip(a)]. 6371 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(105(a,1),6367(a,2,1,2))]. 6372 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(94(a,2),6367(a,2,1))]. 6373 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5014(a,1),6367(a,2,1,1))]. 6374 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6325(a,1),6367(a,1,1))]. 6375 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(199,a,6001,a(flip),b,6372,a(flip))]. 6376 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1592(a,2),6372(a,2,1))]. 6377 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2809(a,1),6372(a,2,1))]. 6378 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(409(a,1),6375(a,1,1)),flip(a)]. 6379 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(95(a,2),6370(a,1,1))]. 6380 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(199,a,28,a(flip),b,6379,a)]. 6381 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),6379(a,1,1,2)),flip(a)]. 6382 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(6379(a,1),4912(a,1,1)),flip(a)]. 6383 K(L(x,y,z),y * x) = K(x,y * x). [hyper(199,a,6001,a(flip),b,6381,a(flip))]. 6384 K(L(x,y,z),y * x) = K(x,x * y). [hyper(199,a,5255,a(flip),b,6383,a)]. 6385 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(199,a,5633,a(flip),b,6382,a)]. 6386 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6382(a,2),5635(a,1))]. 6387 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6385(a,1,2,2)),flip(a)]. 6388 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(60(a,1),6385(a,1,2,2)),flip(a)]. 6389 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(471(a,1),6385(a,1,2))]. 6390 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(5957(a,1),6385(a,1,2,2)),flip(a)]. 6391 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4376,a,6387,a),flip(a)]. 6392 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(199,a,6006,a,b,6387,a(flip)),flip(a)]. 6393 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(199,a,4303,a(flip),b,6387,a(flip))]. 6394 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [hyper(3860,a,6388,a)]. 6395 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(94(a,1),6388(a,2,2))]. 6396 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(198(a,1),6388(a,2,2))]. 6397 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(409(a,1),6388(a,2,2))]. 6398 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(4727(a,1),6394(a,1,2))]. 6399 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [hyper(4376,a,6377,a),flip(a)]. 6400 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(199,a,5178,a(flip),b,6377,a)]. 6401 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(60(a,1),6399(a,1,1,1)),flip(a)]. 6403 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(60(a,1),6386(a,1,2,2))]. 6404 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(95(a,1),6386(a,1,2))]. 6405 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(407(a,1),6391(a,1,2)),flip(a)]. 6406 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6387(a,1),6392(a,1,1))]. 6407 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(199,a,6368,a(flip),b,6406,a(flip))]. 6408 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6028,a,6395,a),flip(a)]. 6409 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6395(a,1),6028(a,1))]. 6410 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(14(a,1),6408(a,1,2,1)),flip(a)]. 6411 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(14(a,1),6408(a,1,2,2))]. 6412 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6408(a,1),4652(a,2,2))]. 6413 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(199,a,5788,a(flip),b,6410,a(flip))]. 6414 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(199,a,4652,a,b,6412,a)]. 6415 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),6414(a,1,2,1)),flip(a)]. 6416 K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). [hyper(4833,a,6397,a),flip(a)]. 6417 L(K(x,(y \ z) \ u),u,y) = w \ (w * K(x,z \ (y * u))). [hyper(199,a,13,a,b,6397,a)]. 6418 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(199,a,6368,a(flip),b,6397,a(flip))]. 6419 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6397(a,1),40(a,2,1))]. 6420 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6397(a,1),92(a,1,2))]. 6422 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [para(4685(a,2),6416(a,2,2,2))]. 6423 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(2898(a,2),6422(a,2,2,2))]. 6424 a(x,T(y,z),z) = a(x,y,T(z,y)). [hyper(833,a,6116,a)]. 6425 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(199,a,6213,a(flip),b,6259,a(flip))]. 6426 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(896(a,2),6259(a,2,2))]. 6427 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5011(a,1),6259(a,2,2))]. 6428 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3128(a,1),6425(a,1,2)),flip(a)]. 6429 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(4901(a,1),6425(a,1,2)),flip(a)]. 6430 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(4902(a,1),6425(a,1,2)),flip(a)]. 6431 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(6430(a,1),5939(a,1,1)),flip(a)]. 6432 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1574(a,1),6355(a,2,2))]. 6433 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6369(a,1),387(a,1,2)),flip(a)]. 6434 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(6325(a,1),6369(a,1,1))]. 6435 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(6380(a,2),403(a,1))]. 6436 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5012(a,1),6389(a,1,2,1,2)),flip(a)]. 6437 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(199,a,6279,a(flip),b,6431,a(flip)),flip(a)]. 6438 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3094(a,1),5934(a,2,2))]. 6439 R(x,K(y,z),R(z,u,w)) = x. [hyper(427,a,6018,a)]. 6440 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(199,a,6259,a(flip),b,6439,a(flip)),flip(a)]. 6441 R(x,K(y,z),L(z,u,w)) = x. [hyper(427,a,6019,a)]. 6442 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2379(a,2),6039(a,1,2))]. 6443 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(63(a,1),6047(a,1,2)),flip(a)]. 6444 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(68,a,6127,a(flip),b,5976,a(flip))]. 6445 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(63(a,1),6444(a,1,2,1,2,1)),flip(a)]. 6446 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(199,a,5917,a,b,6445,a)]. 6447 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4696(a,1),6182(a,1,1,1)),flip(a)]. 6448 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6447(a,1),105(a,1,2)),flip(a)]. 6449 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5594(a,1),6265(a,1,1,2))]. 6450 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(6449(a,1),60(a,1,2))]. 6451 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(6449(a,1),78(a,1,2)),flip(b)]. 6453 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(92(a,1),6449(a,1,1))]. 6454 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(387(a,1),6449(a,1,1))]. 6455 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(263,a,6450,a),flip(a)]. 6456 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(6455(a,1),19(a,1)),flip(a)]. 6457 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(6455(a,1),254(a,1,2)),flip(b)]. 6458 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(199,a,40,a,b,6312,a)]. 6459 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(784(a,1),6321(a,1,1,2))]. 6460 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(1209(a,1),6321(a,1,1,2))]. 6461 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1387(a,1),6321(a,1,1,2))]. 6462 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(68,a,6401,a(flip),b,2364,a)]. 6463 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1195(a,1),6413(a,1,2)),flip(a)]. 6464 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(6428(a,1),3554(a,1,1)),flip(a)]. 6465 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(6428(a,1),4485(a,1,2))]. 6466 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4625(a,1),6458(a,2,1))]. 6467 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5964(a,2),4822(a,1))]. 6468 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(419(a,2),6037(a,1,2))]. 6469 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(6415(a,1),6078(a,1,1))]. 6470 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6202,a,6348,a),flip(a)]. 6471 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6348(a,1),6202(a,1))]. 6472 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6470(a,1),6369(a,1,1))]. 6473 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(199,a,6453,a(flip),b,6244,a)]. 6474 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(199,a,3396,a,b,6366,a(flip)),flip(a)]. 6475 L(K(x,(y \ z) \ u),u,y) != w | K(x,z \ (y * u)) = w. [para(6417(a,2),254(a,1)),flip(b)]. 6476 K(x,(y \ z) \ x) != u | K(x,z \ (y * x)) = u. [para(5974(a,1),6475(a,1))]. 6477 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6212(a,1),6195(a,2,2))]. 6478 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(63(a,1),6322(a,1,1,1,2,1))]. 6479 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(4948(a,1),6324(a,1,1,1)),flip(a)]. 6480 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(2899(a,1),6365(a,1,1))]. 6481 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(51(a,1),6418(a,2,1))]. 6482 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(1496(a,1),6418(a,2,1))]. 6483 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6420(a,1),19(a,1)),flip(a)]. 6484 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(51(a,1),6420(a,1,2,2)),flip(a)]. 6485 (x * y) * z != x * (y * K(u,(x \ 1) \ y)) | K(u,x * y) = z. [para(6484(a,2),19(a,1)),flip(a)]. 6486 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6433(a,2),6245(a,1,1))]. 6487 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(199,a,5014,a(flip),b,6477,a)]. 6488 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(18,a,5578,a,b,6487,a),flip(a)]. 6489 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(6488(a,1),14(a,1,2))]. 6491 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(6479(a,2),14(a,1,2))]. 6492 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6448(a,2),6436(a,2,2,1))]. 6493 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(199,a,6369,a(flip),b,6472,a(flip))]. 6494 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),6493(a,2,1,1))]. 6495 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(60(a,1),6494(a,1,1,1,2))]. 6496 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(6495(a,1),6217(a,1,1,2)),flip(a)]. 6497 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(199,a,6217,a(flip),b,6496,a)]. 6498 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(5518(a,1),6497(a,1,2))]. 6499 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(6498(a,1),181(a,1,2))]. 6500 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(591,a,6499,a)]. 6501 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(199,a,6144,a(flip),b,6500,a(flip))]. 6502 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4568(a,1),6461(a,1,1,2))]. 6503 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5960(a,1),6478(a,1,1,1)),flip(a)]. 6504 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(6503(a,2),14(a,1,2))]. 6505 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(6013(a,1),6503(a,2,1))]. 6506 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6026(a,1),6504(a,1,2,2))]. 6507 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(6504(a,1),6232(a,1,1)),flip(a)]. 6508 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6215(a,1),6506(a,1,1,1))]. 6509 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(60(a,1),6507(a,1,1,1,1)),flip(a)]. 6510 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(6509(a,1),14(a,1,2))]. 6511 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(17,a,5947,a(flip),b,6510,a)]. 6512 K((x / y) \ z,y) = K(x \ (z * y),y). [para(16(a,1),6511(a,1,1,1)),flip(a)]. 6513 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [para(112(a,1),6511(a,1,1))]. 6514 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [para(6511(a,1),6271(a,1,1,2,2))]. 6515 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(6513(a,1),5829(a,1,1,1))]. 6516 K(x,(y * x) \ (z * x)) = K(x,y \ z). [hyper(6302,a,6514,a),flip(a)]. 6517 K(x,(x * y) \ (z * x)) = K(x,y \ z). [hyper(6353,a,6516,a)]. 6518 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(14(a,1),6517(a,1,2,1)),flip(a)]. 6519 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(13(a,1),6518(a,1,2)),flip(a)]. 6520 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(6518(a,1),6396(a,1,1))]. 6521 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(199,a,6460,a(flip),b,6502,a(flip))]. 6522 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),6521(a,2,2,1))]. 6523 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(60(a,1),6521(a,1,2,1,2)),flip(a)]. 6524 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(274(a,1),6523(a,1,2,1)),flip(a)]. 6525 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6216(a,1),6524(a,1,2,1))]. 6526 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4615(a,1),6525(a,1,2,1)),flip(a)]. 6527 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(737(a,2),5058(a,1,2,2,1))]. 6528 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(199,a,105,a(flip),b,5686,a)]. 6531 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2630(a,2),5687(a,2,2))]. 6532 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(5459,a,5744,a)]. 6533 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(199,a,5235,a(flip),b,6532,a)]. 6535 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(6533(a,1),5567(a,1))]. 6536 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(6535,a,6100,a)]. 6537 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3671(a,1),5820(a,2,2))]. 6538 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(199,a,3684,a(flip),b,6537,a(flip))]. 6539 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(2899(a,1),6538(a,1,2,2)),flip(a)]. 6540 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(2899(a,1),6539(a,1,1,1)),flip(a)]. 6541 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(6540(a,1),63(a,1,1))]. 6542 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(2858(a,1),5875(a,1,2,2,1)),flip(a)]. 6543 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5407(a,1),6542(a,1,2,2,1)),flip(a)]. 6544 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(199,a,5835,a(flip),b,5904,a(flip))]. 6545 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6544(a,1),5012(a,1,2,1)),flip(a)]. 6546 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6114(a,1),5963(a,1,2))]. 6547 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(6546(a,1),597(a,1))]. 6548 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(5163(a,1),6044(a,1,2))]. 6549 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(6378(a,1),6548(a,1,2))]. 6550 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6125(a,2),6162(a,1))]. 6551 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6454(a,1),6486(a,1))]. 6552 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5008(a,1),6551(a,1,1,2))]. 6553 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(6518(a,1),6551(a,1,1))]. 6554 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1845(a,1),6527(a,1,2))]. 6555 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(199,a,6528,a(flip),b,6531,a(flip))]. 6556 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(6555(a,1),63(a,1,1))]. 6557 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6545(a,2),5020(a,1))]. 6558 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(4610(a,2),4678(a,2,2,1,1))]. 6559 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(68,a,4683,a(flip),b,4631,a),flip(a)]. 6560 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(3381(a,1),5269(a,1,2,2))]. 6561 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(4924(a,1),5346(a,1,1))]. 6562 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3150(a,1),5510(a,1,3))]. 6563 K(x,y \ ((((z \ u) \ u) \ 1) * w)) = K(x,y \ ((z \ K(z,z \ u)) * w)). [hyper(199,a,5499,a(flip),b,5628,a),flip(a)]. 6564 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5260(a,1),5692(a,1,2))]. 6565 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(12(a,1),5807(a,2,1,2,2))]. 6566 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(63(a,1),5876(a,1,1,1,1,2)),flip(a)]. 6567 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6051(a,1),6566(a,1,2))]. 6568 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3560,a,b,6567,a),flip(a)]. 6569 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5187(a,1),6567(a,1,2))]. 6570 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(60(a,1),6568(a,2,1,2))]. 6571 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(199,a,3444,a,b,6570,a(flip)),flip(a)]. 6572 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3300(a,1),6571(a,1,1,2))]. 6573 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3594,a,6572,a),flip(a)]. 6574 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(106(a,2),6573(a,1,2,2))]. 6575 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(199,a,5332,a(flip),b,6574,a(flip))]. 6576 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(199,a,6405,a(flip),b,6575,a(flip))]. 6577 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(199,a,6568,a,b,6576,a(flip)),flip(a)]. 6578 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(851(a,1),5877(a,1,1))]. 6579 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1314(a,1),6578(a,1,1)),flip(a)]. 6581 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5948(a,1),5986(a,1,2)),flip(a)]. 6582 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(199,a,30,a,b,6581,a)]. 6583 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6581(a,2),436(a,1))]. 6584 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(199,a,46,a,b,6582,a(flip)),flip(a)]. 6585 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(199,a,6445,a,b,6328,a)]. 6586 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5493(a,1),6361(a,2,2))]. 6587 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(105(a,1),6459(a,1,1,2,2))]. 6588 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4565(a,2),6587(a,1,1))]. 6589 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4700(a,1),6466(a,1,1,2))]. 6590 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4676(a,1),6589(a,1,2,2))]. 6591 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4427(a,1),6579(a,1,2)),flip(a)]. 6592 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(199,a,4811,a,b,6591,a),flip(a)]. 6593 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(13(a,1),6592(a,2,2,1)),flip(a)]. 6594 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5008(a,1),6593(a,1,2))]. 6595 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(5917(a,2),6594(a,1,1))]. 6596 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(12(a,1),6595(a,1,2))]. 6597 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4149(a,1),6585(a,2,1))]. 6598 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5337(a,1),6597(a,1,2))]. 6599 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(199,a,6569,a(flip),b,6586,a)]. 6600 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(218,a,4554,a),flip(a)]. 6601 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(4690(a,1),4692(a,1,2))]. 6602 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5546(a,1),6601(a,2,3))]. 6603 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4024(a,1),6602(a,1,2))]. 6604 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(5152,a,6603,a),flip(a)]. 6605 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5348(a,1),5349(a,1,3)),flip(a)]. 6606 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(6605(a,1),20(a,1))]. 6607 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(5662,a,5507,a)]. 6608 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(199,a,6051,a(flip),b,6607,a)]. 6609 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6053,a,6608,a)]. 6610 T(x,T(y,z) \ T(x,z)) = x / K(y \ x,T(x,z)). [para(6609(a,1),4610(a,2,2))]. 6611 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6609(a,1),4911(a,1,2)),flip(a)]. 6612 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(199,a,4911,a(flip),b,6611,a)]. 6613 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(4857,a,5675,a),flip(a)]. 6614 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1682(a,1),6613(a,1,1))]. 6615 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(199,a,5800,a(flip),b,6614,a)]. 6616 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [para(5799(a,1),6615(a,1,1))]. 6617 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(154,a,6616,a,b,4352,a)]. 6619 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,6617,a)]. 6620 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(6619(a,1),4698(a,1,1,1))]. 6621 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(6620(a,1),1781(a,1,1)),flip(a)]. 6622 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(199,a,5235,a(flip),b,5739,a)]. 6623 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(199,a,5707,a(flip),b,6622,a(flip)),flip(a)]. 6624 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(4988(a,1),6623(a,1,1))]. 6625 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(199,a,5835,a(flip),b,6624,a(flip))]. 6626 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),6625(a,1,2,1,1)),flip(a)]. 6627 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(5299(a,1),6625(a,1,2,1))]. 6628 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(199,a,5836,a(flip),b,6626,a(flip))]. 6629 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(13(a,1),5924(a,2,1,1))]. 6630 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6275(a,1),6292(a,2,2))]. 6631 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(199,a,4117,a(flip),b,6630,a)]. 6632 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5061(a,1),4693(a,2,1))]. 6633 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4625(a,1),6632(a,1,1,1))]. 6634 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(6633(a,1),63(a,1,1))]. 6635 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4032(a,1),6634(a,1,1,2))]. 6636 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(5348(a,1),4931(a,1,2,1))]. 6637 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5014(a,1),5039(a,2,2))]. 6638 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(6637(a,2),254(a,1))]. 6640 L(x,y,K(z \ 1,z)) != u | u = x. [para(3487(a,1),6638(a,1))]. 6641 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) != u | y \ z = u. [para(94(a,1),6640(a,1)),flip(b)]. 6643 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(164(a,1),5115(a,1,2)),flip(a)]. 6644 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(4912(a,1),6643(a,1,1,2,1))]. 6645 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(165(a,1),5116(a,1,2)),flip(a)]. 6646 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(4912(a,1),6645(a,1,1,2,1))]. 6647 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5095(a,1),5311(a,1,2))]. 6648 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(5680(a,1),5631(a,1,2,2,1,2))]. 6649 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3393(a,1),5660(a,1,1))]. 6650 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5325(a,1),6649(a,1,1,1))]. 6651 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6358(a,1),5792(a,1,1,1))]. 6652 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5119(a,1),6543(a,1,2,2,1,1))]. 6653 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4662(a,1),6652(a,1,2,2,1)),flip(a)]. 6654 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(199,a,920,a(flip),b,6559,a(flip)),flip(a)]. 6655 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4723(a,1),6647(a,1,1))]. 6656 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4669(a,1),6655(a,1,2,2)),flip(a)]. 6657 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6656(a,2),716(a,1))]. 6658 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3212(a,1),5747(a,1,2,1,1))]. 6659 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3085(a,1),6658(a,1,2))]. 6660 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(199,a,5714,a(flip),b,5903,a(flip))]. 6661 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(4526(a,1),6660(a,1,1))]. 6662 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6192,a,6661,a)]. 6663 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(105(a,1),6662(a,1,2,2)),flip(a)]. 6664 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1568(a,2),5926(a,1,2))]. 6665 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(5725,a,6128,a),flip(a)]. 6666 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1392(a,1),6665(a,1,1))]. 6667 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(199,a,5441,a(flip),b,6666,a(flip)),flip(a)]. 6668 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5013(a,1),6319(a,1,2)),flip(a)]. 6669 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(218,a,6664,a)]. 6670 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5608(a,1),6669(a,1,2)),flip(a)]. 6671 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4961(a,1),6670(a,2,2))]. 6672 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(63(a,1),6671(a,1,1,2,1))]. 6673 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(63(a,1),6672(a,2,2,1,2))]. 6674 x * (T(y,y \ x) \ 1) = T(x * (y \ 1),y). [hyper(199,a,6126,a(flip),b,6673,a(flip))]. 6675 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(68,a,6126,a(flip),b,6673,a(flip))]. 6676 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(68,a,6673,a(flip),b,5874,a(flip))]. 6679 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4605(a,1),6673(a,2,2))]. 6681 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6215(a,1),6673(a,1,1)),flip(a)]. 6682 T(x * ((y \ x) \ 1),y \ x) = x * ((x / y) \ 1). [para(3910(a,1),6674(a,1,2,1)),flip(a)]. 6683 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(199,a,556,a(flip),b,6675,a)]. 6684 L(K(x,y),y \ 1,z) = K(x,y). [hyper(4893,a,6676,a)]. 6685 K(x,y) != z | L(K(x,y),y \ 1,u) = z. [para(6676(a,1),4893(a,1))]. 6686 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(6550,a,6684,a)]. 6689 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(199,a,4790,a,b,6686,a(flip)),flip(a)]. 6690 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(199,a,5874,a(flip),b,6679,a(flip)),flip(a)]. 6691 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4625(a,1),6681(a,1,2,1))]. 6692 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6683(a,1),4398(a,1,1)),flip(a)]. 6693 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6689(a,1),4479(a,2,1))]. 6694 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(6690(a,1),5072(a,1,1))]. 6695 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(199,a,3881,a(flip),b,6692,a(flip)),flip(a)]. 6696 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(5826(a,1),6695(a,2,1,1))]. 6697 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6556(a,1),6696(a,1,1))]. 6698 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(6697(a,1),3752(a,2,1))]. 6699 R(x,y \ 1,K(z,y)) = x. [hyper(262,a,6694,a)]. 6702 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(199,a,4711,a(flip),b,6699,a(flip)),flip(a)]. 6703 R(x,y,K(z,y \ 1)) = x. [hyper(199,a,4505,a(flip),b,6699,a(flip)),flip(a)]. 6705 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(6703(a,1),101(a,1,1)),flip(a)]. 6706 R(x,y,K(y \ 1,z)) = x. [para(4738(a,1),6703(a,1,3))]. 6707 R(x,y \ z,K(u,z \ y)) = x. [para(6005(a,1),6703(a,1,3))]. 6708 (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). [para(6706(a,1),317(a,1,1))]. 6709 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(6707(a,1),421(a,1,1))]. 6710 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(4617(a,1),6702(a,1,2))]. 6711 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(6710(a,1),63(a,1,1))]. 6712 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(199,a,6480,a,b,6711,a(flip)),flip(a)]. 6713 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(6712(a,1),4131(a,1,1)),flip(a)]. 6714 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(6708(a,1),5630(a,2,2,2))]. 6715 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(63(a,1),6713(a,1,1,2,1)),flip(a)]. 6716 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(6715(a,1),60(a,1,2))]. 6717 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(199,a,6501,a,b,6716,a(flip))]. 6718 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(6717(a,1),2216(a,1,1))]. 6719 T(x \ T(y,y \ x),T(y,y \ x) \ x) = T((x \ y) \ 1,y) \ 1. [para(6718(a,1),2342(a,2,1))]. 6720 a(x,y,K(z,y \ 1)) = 1. [hyper(67,a,6705,a(flip),b,83,a),flip(a)]. 6721 a(x,y,K(y \ 1,z)) = 1. [para(4738(a,1),6720(a,1,3))]. 6722 a(x,y \ z,K(u,z \ y)) = 1. [para(6005(a,1),6720(a,1,3))]. 6723 a(x,y \ 1,K(y,z)) = 1. [para(3085(a,1),6721(a,1,3))]. 6724 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,6723,a)]. 6726 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(199,a,5570,a(flip),b,6724,a(flip)),flip(a)]. 6727 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(6726(a,1),4652(a,2,2))]. 6728 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(199,a,4652,a,b,6727,a)]. 6729 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(6709(a,1),6565(a,1,2))]. 6730 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4926(a,1),6691(a,1,1,2))]. 6731 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5125(a,1),6730(a,2,2))]. 6732 L(x \ 1,K(x,y),z) = x \ 1. [hyper(391,a,6731,a)]. 6733 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6693(a,1),5616(a,1,2)),flip(a)]. 6734 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(199,a,5012,a(flip),b,6733,a)]. 6736 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(199,a,5781,a(flip),b,6734,a(flip)),flip(a)]. 6737 T(x \ T(y,y \ x),x / y) = T((x \ y) \ 1,y) \ 1. [para(3911(a,1),6719(a,1,2))]. 6738 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5365,a,6729,a),flip(a)]. 6740 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,6738,a)]. 6742 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),6740(a,1,2,1))]. 6745 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(340,a,6742,a)]. 6746 K(x,y * ((z * y) \ z)) = 1. [hyper(36,a,6742,a)]. 6747 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(35,a,6742,a)]. 6750 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(145(a,2),6747(a,1,1,2))]. 6751 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(199,a,5521,a(flip),b,6750,a(flip)),flip(a)]. 6755 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4632(a,1),4975(a,2,2))]. 6756 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(6755(a,2),403(a,1))]. 6758 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(4662(a,1),5547(a,1,1))]. 6759 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1470,a,6758,a)]. 6760 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(4690(a,1),6759(a,2,1))]. 6761 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4024(a,1),6760(a,2,1))]. 6762 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(6604(a,1),6761(a,1,1,2))]. 6763 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(4740(a,1),6762(a,1,1,2))]. 6764 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(6763(a,1),1456(a,1,1))]. 6765 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6096(a,1),6764(a,1,2))]. 6766 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(4384(a,1),6765(a,1,1))]. 6767 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6096(a,1),6766(a,1,1,2,1))]. 6768 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6224(a,1),6288(a,2,1))]. 6769 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(199,a,30,a,b,6768,a)]. 6772 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(152(a,1),6769(a,1,2))]. 6773 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(6199(a,1),6772(a,1,1))]. 6774 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(18,a,4453,a(flip),b,6698,a)]. 6775 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5251,a,5726,a),flip(a)]. 6777 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(199,a,5442,a(flip),b,6775,a)]. 6778 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5251,a,6777,a)]. 6779 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(5567,a,6778,a)]. 6781 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(199,a,4242,a(flip),b,6260,a(flip)),flip(a)]. 6783 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [para(2054(a,1),6781(a,1,2)),flip(a)]. 6784 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(5680(a,1),6781(a,1,2)),flip(a)]. 6785 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(6783(a,1),4331(a,1,1)),flip(a)]. 6786 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(6785(a,1),5221(a,1,2))]. 6787 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(4642(a,2),4820(a,1,2,1,2,2))]. 6788 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(199,a,2172,a(flip),b,6787,a(flip)),flip(a)]. 6789 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(105(a,1),6788(a,1,1,2))]. 6790 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4419(a,1),6789(a,1,1))]. 6791 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(262,a,6790,a),flip(a)]. 6793 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(6791(a,1),6558(a,1,1))]. 6794 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(262,a,6793,a)]. 6795 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(5982,a,6794,a)]. 6796 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(636,a,6794,a),flip(a)]. 6798 K(T(x,y) \ z,x) = K(z / x,x). [hyper(17,a,4934,a,b,6795,a)]. 6799 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(17,a,221,a,b,6795,a)]. 6800 K((T(x,y) * z) / x,x) = K(z,x). [hyper(199,a,574,a(flip),b,6798,a(flip))]. 6803 T(x * K(x \ y,x),z) = y / (y / T(x,z)). [para(6799(a,1),5227(a,1,1,2))]. 6805 K(T(x,y) * (x \ z),x) = K(z,x). [hyper(199,a,4935,a(flip),b,6800,a(flip)),flip(a)]. 6807 K(K(x,y) * z,x) = K(z,x). [para(4628(a,1),6805(a,1,1))]. 6808 K(K(x,y) * z,y) = K(z,y). [para(4958(a,1),6805(a,1,1))]. 6809 K(K(x,y) \ z,x) = K(z,x). [para(14(a,1),6807(a,1,1)),flip(a)]. 6810 K(x * T(y,z),z) = K(x * y,z). [para(5480(a,1),6807(a,1,1))]. 6812 K(x \ T(y,z),z) = K(x \ y,z). [para(5313(a,1),6807(a,1,1)),flip(a)]. 6813 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(5706(a,1),6807(a,1,1,1))]. 6814 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(6807(a,1),5974(a,1,1))]. 6815 K(x,K(y,x) * z) = K(z,x). [hyper(4862,a,6808,a)]. 6816 K(x,K(y,x) * z) = K(x,z). [hyper(199,a,4738,a,b,6815,a)]. 6817 K(x,K(y,x) * z) != u | K(x,z) = u. [para(6815(a,2),4862(a,1))]. 6818 K(x,K(y,x) \ z) = K(x,z). [para(14(a,1),6816(a,1,2)),flip(a)]. 6819 K(x,K(x,y) * z) = K(x,z). [para(4738(a,1),6816(a,1,2,1))]. 6820 K(x,T(x,y) * z) = K(x,x * z). [para(4632(a,1),6816(a,1,2)),flip(a)]. 6821 K(x,T(x,y) \ z) = K(x,x \ z). [para(4961(a,1),6816(a,1,2))]. 6822 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5586(a,1),6816(a,1,2,1))]. 6823 K(x,y * T(z,x)) = K(x,y * z). [para(5443(a,1),6816(a,1,2))]. 6824 T(x,K(x,y) * z) = x * K(x,z). [para(6819(a,1),4652(a,2,2))]. 6825 K(x,y \ T(y * z,x)) = K(x,z). [para(5312(a,1),6819(a,1,2)),flip(a)]. 6826 K(x,L(K(x,y),z,u) * w) = K(x,w). [para(5573(a,1),6819(a,1,2,1))]. 6827 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(6067(a,1),6810(a,1,1,2)),flip(a)]. 6828 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(107(a,1),6812(a,1,1,2)),flip(a)]. 6832 K(x,x \ ((y / x) \ z)) = K(x,x \ ((x \ y) \ z)). [para(5485(a,1),6821(a,1,2))]. 6833 T(x,K(x,y) * z) = T(x,z). [hyper(199,a,4652,a,b,6824,a)]. 6834 T(x,K(x,y) * z) != u | T(x,z) = u. [para(6824(a,2),4655(a,1))]. 6835 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(199,a,3054,a(flip),b,6833,a)]. 6836 T(x,K(y,x) * z) = T(x,z). [para(4738(a,1),6833(a,1,2,1))]. 6837 T(x,T(y,x) * z) = T(x,y * z). [para(4632(a,1),6833(a,1,2)),flip(a)]. 6838 T(x,T(x,y) * z) = T(x,x * z). [para(4669(a,1),6833(a,1,2))]. 6840 T(x,(y / x) * z) = T(x,(x \ y) * z). [para(4972(a,1),6833(a,1,2)),flip(a)]. 6841 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(6833(a,1),5225(a,1,1))]. 6842 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6836(a,1),4177(a,1,3))]. 6844 L(T(x,y),y,T(x,z)) = T(x,x * y). [hyper(199,a,1092,a,b,6838,a(flip)),flip(a)]. 6845 K((K(x,y) * z) * u,x) = K(z * u,x). [para(101(a,1),6813(a,1,1))]. 6846 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(5835(a,1),6813(a,1,1,1))]. 6847 K(x \ 1,((x \ 1) \ 1) * y) != z | K(x \ 1,x * y) = z. [para(2794(a,1),6817(a,1,2))]. 6848 K(x,K(x,y) * z) != u | K(x,z) = u. [para(4738(a,1),6817(a,1,2,1))]. 6849 K(x,y * x) != z | K(x,x * y) = z. [para(4622(a,1),6817(a,1,2))]. 6850 K(x,T(x,y) \ z) != u | K(x,x \ z) = u. [para(4961(a,1),6817(a,1,2))]. 6852 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(5438(a,1),6817(a,1,2))]. 6853 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(5727(a,1),6822(a,1,2,1))]. 6854 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(4961(a,1),6834(a,1,2))]. 6856 T(x,y * T(z,x)) != u | T(x,y * z) = u. [para(5480(a,1),6834(a,1,2))]. 6858 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4622(a,1),6846(a,1,1))]. 6859 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4632(a,1),6846(a,1,1)),flip(a)]. 6860 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(5126(a,1),6848(a,1,2))]. 6861 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(6383(a,2),6849(a,1))]. 6862 K(x,T(y,R(x,z,u))) = K(x,y). [para(1055(a,2),6853(a,1,2))]. 6863 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(4738(a,1),6853(a,1,2,1))]. 6864 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4622(a,1),6853(a,1,2)),flip(a)]. 6865 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(4764(a,1),6853(a,1,2)),flip(a)]. 6866 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(4961(a,1),6853(a,1,2))]. 6867 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(6862(a,1),5505(a,1,2))]. 6868 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(4999(a,1),6863(a,1,2))]. 6869 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(6828(a,1),5410(a,1,1,1,2))]. 6871 T(x,(y / x) \ z) != u | T(x,(x \ y) \ z) = u. [para(170(a,1),6854(a,1,2,1))]. 6873 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(18,a,5939,a,b,6796,a)]. 6874 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(5966,a,6873,a)]. 6875 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(154,a,6873,a(flip),b,4895,a)]. 6877 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(5284,a,6875,a)]. 6878 T(T(x,K(y,z)),z) = T(x,T(z,y)). [hyper(5280,a,6875,a)]. 6879 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(342,a,6875,a)]. 6880 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(339,a,6875,a),flip(a)]. 6881 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(107(a,1),6875(a,1,1)),flip(a)]. 6882 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [para(149(a,1),6875(a,1,1)),flip(a)]. 6883 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(6875(a,1),166(a,1,1))]. 6884 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(6875(a,1),163(a,1,2)),flip(a)]. 6885 T(x,T(y,z)) \ (T(x,y) * (T(T(x,y),K(y,z)) * u)) = T(x,y) * u. [para(6875(a,1),929(a,1,1))]. 6886 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(6875(a,1),2239(a,1)),flip(b)]. 6888 L(K(T(x,y),K(y,z)) \ u,K(T(x,y),K(y,z)),T(x,y)) = T(x,T(y,z)) \ (T(x,y) * u). [para(6875(a,1),4710(a,2,1))]. 6889 T(T(x,K(y,z)),T(z,y)) = T(x,z). [hyper(339,a,6877,a),flip(a)]. 6890 T(T(x,y),T(y,z)) = T(x,K(z,y)). [para(47(a,1),6877(a,1,1)),flip(a)]. 6891 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(6877(a,1),163(a,1,2)),flip(a)]. 6893 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(1364(a,1),6878(a,1,1)),flip(a)]. 6894 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(1911(a,1),6878(a,1,1)),flip(a)]. 6896 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(6879(a,1),4117(a,1,2)),flip(a)]. 6897 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(6880(a,1),339(a,1,1))]. 6898 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(6889(a,1),339(a,1,1))]. 6899 T(T(x,y \ z),z / y) = T(x,K(y,y \ z)). [para(170(a,1),6890(a,1,2))]. 6902 T(K(x,y) * z,y) = K(x,y) * T(z,y). [hyper(5888,a,6874,a),flip(a)]. 6903 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(199,a,5960,a,b,6874,a),flip(a)]. 6904 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(107(a,1),6874(a,2,1))]. 6905 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(6874(a,2),6820(a,1,2))]. 6906 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(199,a,6179,a,b,6881,a(flip)),flip(a)]. 6907 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(6882(a,1),6175(a,1,2)),flip(a)]. 6908 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(199,a,6173,a,b,6884,a),flip(a)]. 6909 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(199,a,6174,a,b,6891,a),flip(a)]. 6910 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(5884,a,6902,a)]. 6912 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5156(a,1),6902(a,1,1)),flip(a)]. 6913 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(357(a,1),6906(a,2,1))]. 6914 T(x,K(y,y * x)) = x. [hyper(2968,a,6907,a)]. 6916 T(x / y,K(y,x)) = x / y. [para(5257(a,1),6914(a,1,2))]. 6917 K(x * y,x) * y = y * K(x * y,x). [para(6914(a,1),5270(a,1,2))]. 6918 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [hyper(4418,a,6909,a)]. 6919 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(199,a,4883,a,b,6910,a(flip)),flip(a)]. 6920 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(68,a,6910,a(flip),b,906,a),flip(a)]. 6921 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(13(a,1),6910(a,1,2,1)),flip(a)]. 6923 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(6910(a,1),1392(a,1,1)),flip(a)]. 6924 T(x * K(y,z),z) = T(x,z) * K(y,z). [para(6910(a,1),5886(a,1,1)),flip(a)]. 6925 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(6910(a,1),6321(a,1,1,2)),flip(a)]. 6926 T(K(x * y,x),y) = K(x * y,x). [hyper(154,a,6917,a,b,xx)]. 6928 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(1913(a,1),6918(a,1,2)),flip(a)]. 6929 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(199,a,5486,a(flip),b,6921,a)]. 6930 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),6921(a,2,2))]. 6932 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(6928(a,1),6878(a,1,1)),flip(a)]. 6934 x / (x / T(y,z)) = T(x / (x / y),z). [para(4577(a,2),6803(a,1,1)),flip(a)]. 6937 T(x / (x / y),z) \ x = x / T(y,z). [para(6934(a,1),63(a,1,1))]. 6939 x / (x / T(y,z)) = T((y \ x) \ x,z). [para(3909(a,1),6934(a,2,1))]. 6941 x / T(y \ x,z) = T(x / y,z) \ x. [para(60(a,1),6937(a,1,1,1,2)),flip(a)]. 6942 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(123(a,1),6937(a,1,1,1)),flip(a)]. 6943 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5321(a,1),6937(a,1,1,1))]. 6944 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [hyper(3913,a,6939,a)]. 6945 T(x / y,z) \ x = y * K(z,y \ x). [hyper(6284,a,6941,a),flip(a)]. 6947 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(6941(a,1),63(a,1,1))]. 6948 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(106(a,2),6942(a,1,2,1))]. 6949 (T(x,y) \ z) \ z != u | T((x \ z) \ z,y) = u. [para(6942(a,1),253(a,1,1)),flip(b)]. 6953 T((x \ y) \ y,z) \ ((T(x,z) \ y) \ u) = T(x,z) \ ((y / T(x,z)) \ u). [para(6944(a,1),5487(a,1,1))]. 6954 x / (y * K(z,y \ x)) = T(x / y,z). [para(6945(a,1),60(a,1,2))]. 6955 x / L(y,y \ x,y) = T(y,x) \ x. [para(621(a,1),6948(a,1,2))]. 6956 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(6948(a,1),4481(a,1,2))]. 6957 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(13(a,1),6954(a,1,2,2,2))]. 6959 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(170(a,1),6883(a,1,1,2))]. 6960 T(T(x,y / z),K(z,z \ y)) = T(x,z \ y). [hyper(339,a,6899,a),flip(a)]. 6961 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5068(a,1),6903(a,1,1,1)),flip(a)]. 6962 T(x / T(y,z),y) = (y \ x) * K(y,z). [para(6235(a,1),6904(a,1,1))]. 6963 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(6295,a,6962,a)]. 6964 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(199,a,4745,a,b,6962,a)]. 6965 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(6963(a,1),14(a,1,2))]. 6968 (x * y) * K(x,z) = x * (y * K(x,z)). [para(13(a,1),6965(a,1,2,1)),flip(a)]. 6969 T(x * (y / x),z) * K(x,u) = x * ((T(y,z) / x) * K(x,u)). [para(4377(a,1),6965(a,1,2,1)),flip(a)]. 6970 K(x,(x \ 1) \ y) = K(x,x * y). [hyper(6485,a,6968,a),flip(a)]. 6971 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(6483,a,6968,a),flip(a)]. 6972 R(x,y,K(x,z)) = x. [hyper(4509,a,6968,a)]. 6973 L(K(x,y),z,x) = K(x,y). [hyper(4498,a,6968,a)]. 6974 a(x,y,K(x,z)) = 1. [hyper(67,a,6968,a(flip),b,83,a),flip(a)]. 6976 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(6968(a,1),5939(a,1,1))]. 6977 R(T(x,y),z,K(x,u)) = T(x,y). [para(6972(a,1),42(a,2,1))]. 6978 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6972(a,1),46(a,1,1)),flip(a)]. 6979 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(6972(a,1),431(a,1,1,1)),flip(a)]. 6980 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(6972(a,1),432(a,1,1,1)),flip(a)]. 6981 R(x,y,K(z,x)) = x. [para(4738(a,1),6972(a,1,3))]. 6982 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(6972(a,1),5840(a,1,1,1)),flip(a)]. 6983 R(x,y,T(x,z)) = R(x,y,x). [para(6972(a,1),6584(a,1,1)),flip(a)]. 6984 a(x,y,K(z,x)) = 1. [para(4738(a,1),6974(a,1,3))]. 6986 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(6981(a,1),46(a,1,1)),flip(a)]. 6987 (x * y) * K(z,x) = x * (y * K(z,x)). [para(6981(a,1),101(a,1,1)),flip(a)]. 6988 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(6981(a,1),431(a,1,1,1)),flip(a)]. 6989 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(6981(a,1),5840(a,1,1,1)),flip(a)]. 6990 L(K(x,y),z,y) = K(x,y). [hyper(33,a,6984,a)]. 6991 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(6551,a,6973,a)]. 6992 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(199,a,13,a,b,6973,a)]. 6993 K(x,L(y,z,x)) = K(x,y). [hyper(199,a,6387,a(flip),b,6973,a(flip)),flip(a)]. 6994 K(L(x,y,x),z) = K(x,z). [hyper(199,a,6381,a(flip),b,6973,a(flip)),flip(a)]. 6996 K(x,(x \ y) \ z) != u | K(x,y \ (x * z)) = u. [para(6973(a,1),6475(a,1))]. 6997 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6550,a,6990,a)]. 6998 K(x,L(y,z,y)) = K(x,y). [hyper(199,a,6387,a(flip),b,6990,a(flip)),flip(a)]. 6999 K(L(x,y,z),z) = K(x,z). [hyper(199,a,6381,a(flip),b,6990,a(flip)),flip(a)]. 7000 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(199,a,6368,a(flip),b,6990,a(flip))]. 7004 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),6993(a,1,2))]. 7005 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(6993(a,1),5409(a,1,2)),flip(a)]. 7006 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6993(a,1),6381(a,1,1)),flip(a)]. 7007 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(6387(a,1),6993(a,1,2))]. 7008 K(R(x,y,x),z) = K(x,z). [para(4028(a,2),6994(a,1,1))]. 7009 K(x,T(y \ z,z)) = K(x,z / y). [para(681(a,1),6998(a,1,2))]. 7010 K(x,R(y,z,y)) = K(x,y). [para(4028(a,2),6998(a,1,2))]. 7011 K(x,T(y / z,y)) = K(x,z \ y). [para(3920(a,1),6998(a,1,2))]. 7012 T(x,L(y,z,y)) = x * K(x,y). [para(6998(a,1),4652(a,2,2))]. 7013 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),6999(a,1,1))]. 7014 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(6999(a,1),5413(a,1,2,1,2)),flip(a)]. 7015 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(5889(a,1),6999(a,1,1))]. 7016 R(K(x,y),z,x) = K(x,y). [hyper(199,a,5836,a(flip),b,7008,a(flip)),flip(a)]. 7017 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7008(a,1),4652(a,2,2)),flip(a)]. 7018 x * K(R(x,y,x),z) = T(x,z). [para(7008(a,2),4652(a,2,2)),flip(a)]. 7020 K(x,R(y,z,y)) = 1 / K(y,x). [para(7008(a,1),4911(a,1,2)),flip(a)]. 7022 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7008(a,1),4999(a,1,1))]. 7023 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7008(a,1),5840(a,1,1)),flip(a)]. 7024 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7010(a,1),5405(a,1,2)),flip(a)]. 7025 K(x,R(y,z,x)) = K(x,y). [hyper(199,a,5727,a(flip),b,7016,a(flip)),flip(a)]. 7026 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(199,a,5715,a(flip),b,7016,a(flip)),flip(a)]. 7028 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7016(a,1),5308(a,1,1)),flip(a)]. 7029 T(x,R(y,z,x)) = x * K(x,y). [para(7025(a,1),4652(a,2,2))]. 7030 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(5727(a,1),7025(a,1,2))]. 7032 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(107(a,1),6983(a,1,3)),flip(a)]. 7033 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(170(a,1),6983(a,1,3))]. 7036 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(6977(a,1),6584(a,1,1)),flip(a)]. 7037 T(x,L(y,z,y)) = T(x,y). [hyper(199,a,4652,a,b,7012,a)]. 7038 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(337,a,7037,a),flip(a)]. 7040 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(7037(a,1),105(a,1,2))]. 7043 T(x,T(y \ z,z)) = T(x,z / y). [para(681(a,1),7037(a,1,2))]. 7044 T(x,R(y,z,y)) = T(x,y). [para(4028(a,2),7037(a,1,2))]. 7045 T(x,T(y / z,y)) = T(x,z \ y). [para(3920(a,1),7037(a,1,2))]. 7046 T(x,T(y,y * z)) = T(x,T(y,z)). [para(6844(a,1),7037(a,1,2))]. 7047 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(337,a,7044,a),flip(a)]. 7048 T(x / y,R(y,z,y)) = y \ x. [hyper(199,a,107,a(flip),b,7044,a)]. 7049 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7044(a,1),105(a,1,2))]. 7051 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(68,a,7018,a(flip),b,6554,a),flip(a)]. 7052 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7020(a,2),4917(a,1))]. 7053 T(x,R(y,z,x)) = T(x,y). [hyper(199,a,4652,a,b,7029,a)]. 7060 T(x,(y * x) / z) = T(x,y / (z / x)). [para(446(a,1),7053(a,1,2))]. 7061 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(658(a,1),7053(a,1,2))]. 7062 T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). [para(662(a,1),7053(a,1,2))]. 7067 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(7048(a,1),105(a,1,2))]. 7068 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(6970(a,1),6551(a,1,1))]. 7069 K(x,y / (y / z)) = K(x,T(z,y)). [para(63(a,1),7009(a,1,2,1)),flip(a)]. 7070 K(x,T(y / z,y)) = K(z \ y,x). [hyper(199,a,4738,a,b,7011,a)]. 7071 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(60(a,1),7011(a,1,2,1)),flip(a)]. 7072 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(447(a,1),7011(a,1,2))]. 7073 T(x,y / (y / z)) = T(x,T(z,y)). [para(63(a,1),7043(a,1,2,1)),flip(a)]. 7074 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(60(a,1),7045(a,1,2,1)),flip(a)]. 7076 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(7045(a,1),5054(a,1))]. 7077 T(x / y,T(y,y * z)) = T(y \ x,K(y,z)). [hyper(199,a,6881,a(flip),b,7046,a)]. 7078 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(14(a,1),7046(a,1,2,2)),flip(a)]. 7079 K(x,L(y,z,y)) != u | K(x,y) = u. [para(4028(a,1),7052(a,1,2))]. 7080 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(3905(a,2),7069(a,1,2))]. 7081 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7069(a,1),6561(a,1,2))]. 7082 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7069(a,1),6339(a,1,1,2))]. 7083 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7070(a,2),4862(a,1))]. 7084 K(x,T(y,z)) = T(K(x,y),z). [hyper(199,a,6056,a(flip),b,7071,a(flip))]. 7085 K(x,T(y,z * y)) = K(x,T(y,z)). [para(3953(a,2),7071(a,1,2)),flip(a)]. 7086 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7071(a,1),6395(a,1,1)),flip(a)]. 7087 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(6947(a,1),7071(a,1,2)),flip(a)]. 7088 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(199,a,6419,a,b,7084,a),flip(a)]. 7089 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(199,a,6069,a,b,7084,a),flip(a)]. 7090 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(199,a,5743,a,b,7084,a),flip(a)]. 7091 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(199,a,5417,a,b,7084,a),flip(a)]. 7092 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(199,a,5389,a,b,7084,a),flip(a)]. 7093 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(199,a,5288,a,b,7084,a),flip(a)]. 7094 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(199,a,5287,a,b,7084,a),flip(a)]. 7095 K(x \ y,T(z,y)) = K(y / x,z). [hyper(199,a,6094,a(flip),b,7084,a)]. 7096 K(x / y,T(z,x)) = K(y \ x,z). [hyper(199,a,6067,a(flip),b,7084,a)]. 7097 K(x,T(y,K(x,z))) = K(x,y). [hyper(199,a,4748,a(flip),b,7084,a)]. 7098 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(199,a,4685,a(flip),b,7084,a),flip(a)]. 7099 K(x,T(y,T(T(x,z),u))) = K(x,y). [hyper(199,a,3113,a(flip),b,7084,a)]. 7100 K(x,T(y,x \ 1)) = K(x,y). [hyper(199,a,1363,a(flip),b,7084,a)]. 7101 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(199,a,185,a(flip),b,7084,a),flip(a)]. 7102 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,7084,a)]. 7103 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),7084(a,1,2))]. 7104 T(K(x,T(y,z)),z) = K(x,y). [para(7084(a,2),47(a,1,1))]. 7105 x * K(y,T(z,x)) = K(y,z) * x. [para(7084(a,2),105(a,1,2))]. 7106 K(x,T(y,z)) * z = z * K(x,y). [para(7084(a,2),166(a,1,1))]. 7107 T(K(x,y \ z),y) = K(x,z / y). [para(170(a,1),7084(a,1,2)),flip(a)]. 7108 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7084(a,2),338(a,1,1)),flip(b)]. 7109 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(7084(a,2),164(a,1,2,1))]. 7110 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7084(a,2),191(a,1,1,1))]. 7111 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7084(a,2),554(a,2,1))]. 7112 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7084(a,2),599(a,1,1))]. 7113 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7084(a,2),813(a,1,1,1))]. 7114 T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. [para(7084(a,2),3980(a,1,2))]. 7115 x * T(K(x,y),z) = T(x,T(y,z)). [para(7084(a,1),4652(a,2,2)),flip(a)]. 7116 K(x,T(y,z)) = T(K(y,x),z). [para(4738(a,1),7084(a,2,1))]. 7117 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7084(a,2),4899(a,2,2))]. 7118 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7084(a,2),5344(a,1,2))]. 7120 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7084(a,2),5291(a,2,1))]. 7121 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7084(a,2),5629(a,2,2))]. 7122 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7084(a,2),6097(a,1))]. 7123 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6385(a,1),7084(a,2,1))]. 7124 a(x,K(y,T(z,u)),u) = a(x,K(y,z),T(u,K(y,z))). [para(7084(a,2),6424(a,1,2))]. 7125 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7084(a,2),6636(a,1,1))]. 7126 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(42(a,2),7097(a,1,2))]. 7127 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6877(a,1),7097(a,1,2))]. 7128 K(x \ y,T(z,y \ x)) = K(x \ y,z). [para(6132(a,1),7100(a,1,2))]. 7129 K(x,T(T(y,z),z)) = K(x,y). [hyper(199,a,7084,a,b,7104,a(flip)),flip(a)]. 7131 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7104(a,1),156(a,1,2)),flip(b)]. 7132 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7104(a,1),338(a,1,1)),flip(b)]. 7133 K(T(x,y),z) = T(K(x,z),y). [hyper(4862,a,7116,a)]. 7134 K(x,T(y,z)) = K(y,T(x,z)). [hyper(199,a,7084,a,b,7116,a)]. 7135 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7116(a,1),4862(a,1))]. 7136 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7116(a,1),5480(a,1,1))]. 7137 K(x,T(T(y,z),z)) = K(y,x). [hyper(199,a,4738,a,b,7129,a)]. 7138 K(x,T(y \ z,y)) = K(x,z / y). [para(107(a,1),7129(a,1,2,1))]. 7139 K(x,(y * z) / y) = K(x,T(z,y)). [para(149(a,1),7129(a,1,2,1)),flip(a)]. 7140 T(K(x \ y,z),x) = K(y / x,z). [hyper(6208,a,7133,a),flip(a)]. 7141 K(T(x,y),z) = K(x,T(z,y)). [hyper(199,a,7084,a,b,7133,a)]. 7142 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(199,a,6069,a,b,7133,a),flip(a)]. 7143 K(T(x,y),T(z,y)) = K(x,z). [hyper(199,a,7104,a(flip),b,7133,a)]. 7144 K(T(x,y),y / z) = K(x,z \ y). [hyper(199,a,6034,a(flip),b,7133,a)]. 7145 K(T(x,K(y,z)),y) = K(x,y). [hyper(199,a,1911,a(flip),b,7133,a)]. 7146 x * K(T(y,x),z) = K(y,z) * x. [para(7133(a,2),105(a,1,2))]. 7147 K(T(x,y),z) * y = y * K(x,z). [para(7133(a,2),166(a,1,1))]. 7148 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7133(a,1),5286(a,1,2)),flip(a)]. 7149 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7133(a,2),7097(a,1,2))]. 7150 x * K(T(y,z),u) = x * K(y,T(u,z)). [para(7134(a,1),4745(a,1,2)),flip(a)]. 7151 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [para(7134(a,1),4775(a,2,2))]. 7152 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7134(a,1),4862(a,1))]. 7153 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7134(a,1),5074(a,1,1))]. 7154 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7134(a,1),5046(a,1,1))]. 7155 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(7134(a,1),5480(a,1,1))]. 7156 a(x,y,K(z,T(y,u))) = 1. [para(7134(a,1),5995(a,1,3))]. 7157 (x / y) / K(y,T(z,x)) = T(x,y) / T(T(y,x),z). [para(7134(a,1),5940(a,1,2))]. 7158 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7134(a,1),6281(a,1,1,2))]. 7159 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7134(a,1),6250(a,1,2))]. 7160 x * K(y,T(z,u)) != w | x * K(T(y,u),z) = w. [para(7134(a,1),6305(a,1,2))]. 7161 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7134(a,1),6294(a,1,2,2))]. 7162 R(x,y,K(z,T(x,u))) = x. [para(7134(a,1),6972(a,1,3))]. 7163 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(33,a,7156,a)]. 7164 a(x,T(y,z),K(u,y)) = 1. [para(47(a,1),7156(a,1,3,2))]. 7165 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7162(a,1),432(a,1,1,1)),flip(a)]. 7166 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(7162(a,1),5840(a,1,1,1)),flip(a)]. 7167 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,7164,a)]. 7168 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7137(a,2),4862(a,1))]. 7169 K(x \ y,T(z,x)) = K(y / x,z). [hyper(6208,a,7141,a),flip(a)]. 7170 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5031,a,7141,a)]. 7171 K(x,y / (y / z)) = K(T(x,y),z). [hyper(199,a,7069,a,b,7141,a),flip(a)]. 7172 K(T(x,y),z \ y) = K(x,y / z). [hyper(199,a,7009,a(flip),b,7141,a)]. 7173 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(5141,a,7141,a(flip)),flip(a)]. 7174 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(199,a,6663,a,b,7141,a(flip)),flip(a)]. 7175 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(199,a,5509,a,b,7141,a(flip)),flip(a)]. 7176 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(199,a,6098,a(flip),b,7141,a(flip))]. 7177 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),7141(a,2,2))]. 7178 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),7141(a,1,1))]. 7179 K(x / y,T(z,y)) = K(y \ x,z). [para(107(a,1),7141(a,1,1)),flip(a)]. 7180 K(T(x,y),z / y) = K(x,y \ z). [para(107(a,1),7141(a,2,2))]. 7181 K(T(x,y),y \ z) = K(x,z / y). [para(170(a,1),7141(a,2,2))]. 7182 K((x * y) / x,z) = K(y,T(z,x)). [para(185(a,1),7141(a,1,1))]. 7183 K(x,(y * z) / y) = K(T(x,y),z). [para(185(a,1),7141(a,2,2)),flip(a)]. 7184 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(117(a,1),7141(a,1,1)),flip(a)]. 7185 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(232(a,1),7141(a,1,1))]. 7186 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(734(a,1),7141(a,1,1)),flip(a)]. 7187 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(196(a,2),7141(a,1,1))]. 7188 K(T(x,y),K(y,z)) = K(x,K(y,z)). [para(3087(a,1),7141(a,2,2))]. 7189 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(3905(a,1),7141(a,2,2))]. 7190 x * K(T(x,y),z) = T(x,T(z,y)). [para(7141(a,2),4652(a,2,2)),flip(a)]. 7191 K(x * K(y,x),z) = K(x,T(z,y)). [para(4685(a,1),7141(a,1,1))]. 7192 x / K(y,T(x,z)) != u | T(x,T(y,z)) = u. [para(7141(a,1),4613(a,1,2))]. 7193 K(x,T(y,z)) != u | K(y,T(x,z)) = u. [para(7141(a,1),4862(a,1))]. 7194 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7141(a,1),4721(a,1,1))]. 7195 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7141(a,1),5289(a,1,2))]. 7196 K(x,T(y,z)) \ (y * u) != w | T(y,T(x,z)) * u = w. [para(7141(a,1),4973(a,1,1))]. 7197 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7141(a,1),6208(a,1))]. 7198 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7141(a,1),6246(a,1,2))]. 7200 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7141(a,1),6508(a,1,2)),flip(a)]. 7201 R(x,y \ 1,K(z,T(y,u))) = x. [para(7141(a,1),6699(a,1,3))]. 7202 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(6833(a,1),7141(a,1,1)),flip(a)]. 7203 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(40(a,2),7143(a,1,1))]. 7204 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),7143(a,1,2))]. 7205 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(42(a,2),7143(a,1,1))]. 7206 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),7143(a,1,2))]. 7207 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(915(a,1),7143(a,1,2))]. 7208 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(1138(a,1),7143(a,1,1))]. 7209 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [para(7143(a,1),4652(a,2,2))]. 7210 x * K(T(x,y),T(z,y)) = T(x,z). [para(7143(a,2),4652(a,2,2)),flip(a)]. 7211 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7143(a,1),4660(a,2,1))]. 7212 x * K(T(x,y),T(z,y)) != u | T(x,z) = u. [para(7143(a,2),4655(a,1,2))]. 7213 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(7143(a,1),5093(a,1,1)),flip(a)]. 7214 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7143(a,1),5727(a,1,1))]. 7215 L(x,T(T(y,z),u),K(w,y)) = x. [para(7143(a,1),5738(a,1,3))]. 7216 R(x,T(y,z),K(y,u)) = x. [para(7143(a,1),5973(a,1,3))]. 7217 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(7143(a,1),6387(a,1,1))]. 7218 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7143(a,1),6441(a,1,2))]. 7219 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7143(a,1),6808(a,1,1,1))]. 7221 R(x,(y * z) / y,K(z,u)) = x. [para(185(a,1),7216(a,1,2))]. 7223 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7145(a,1),5136(a,1,2))]. 7224 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(6877(a,1),7145(a,1,1))]. 7225 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(199,a,5157,a,b,7167,a(flip)),flip(a)]. 7226 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(68,a,7167,a(flip),b,2801,a)]. 7227 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(4625(a,1),7201(a,1,3,2))]. 7228 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7215(a,1),92(a,1,2))]. 7229 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7221(a,1),422(a,1,1))]. 7230 T(x,(y * z) / y) = T(x,y / (y / z)). [hyper(199,a,5129,a,b,7073,a),flip(a)]. 7231 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(337,a,7074,a),flip(a)]. 7232 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(199,a,6893,a(flip),b,7078,a(flip))]. 7233 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(681(a,1),7079(a,1,2))]. 7234 L(K(x,y),z,y) != u | K(x,y) = u. [para(6385(a,1),7079(a,1))]. 7235 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(6844(a,1),7079(a,1,2))]. 7236 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1191(a,1),7080(a,1,2,2))]. 7237 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(3865(a,1),7080(a,1,2))]. 7238 K(x / y,x \ z) = K(y \ x,z / x). [para(170(a,1),7095(a,1,2)),flip(a)]. 7239 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(735(a,1),7095(a,1,2)),flip(a)]. 7240 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(6833(a,1),7095(a,1,2))]. 7242 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7096(a,1),3860(a,1,3))]. 7245 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7096(a,1),5843(a,1,1)),flip(a)]. 7246 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7099(a,1),4660(a,2,1))]. 7247 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7101(a,1),266(a,1))]. 7249 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6334,a,7105,a)]. 7250 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(6243,a,7105,a)]. 7251 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(68,a,7105,a,b,4631,a)]. 7252 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,5642,a(flip),b,7105,a)]. 7253 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7105(a,1),19(a,1))]. 7254 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),7105(a,1,2,2))]. 7255 K(x,y / z) * z = z * K(x,z \ y). [para(107(a,1),7105(a,1,2,2)),flip(a)]. 7257 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3117(a,1),7105(a,1,2,2))]. 7258 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7084(a,2),7105(a,1,2,2))]. 7259 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5356,a,7106,a)]. 7260 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(18,a,5783,a,b,7106,a)]. 7261 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,5642,a,b,7106,a)]. 7262 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(18,a,5648,a(flip),b,7106,a)]. 7263 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(69,a,7106,a(flip),b,4628,a)]. 7265 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7106(a,1),4626(a,1,2)),flip(a)]. 7266 (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(7106(a,1),5038(a,1,1,3)),flip(a)]. 7267 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6085(a,1),7106(a,1,1))]. 7268 K(x * K(y,z),y) = K(x,y). [para(7106(a,1),6807(a,1,1))]. 7269 K(x,y * K(x,z)) = K(x,y). [para(7106(a,1),6819(a,1,2))]. 7270 T(x,y * K(x,z)) = T(x,y). [para(7106(a,1),6833(a,1,2))]. 7271 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7106(a,1),6848(a,1,2))]. 7272 K(x * K(y,z),z) = K(x,z). [para(4738(a,1),7268(a,1,1,2))]. 7273 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5573(a,1),7268(a,1,1,2))]. 7274 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7268(a,1),5415(a,1,1,1,2)),flip(a)]. 7275 K(x * T(y,z),y) = K(x * y,y). [para(5948(a,1),7268(a,1,1))]. 7277 K(x * K(y,T(z,u)),z) = K(x,z). [para(7134(a,1),7268(a,1,1,2))]. 7279 K(x,K(y,x * K(y,z))) = 1. [para(7269(a,2),2967(a,1,2))]. 7280 K(x,y * K(z,x)) = K(x,y). [para(4738(a,1),7269(a,1,2,2))]. 7281 K(x,y * L(K(x,z),u,w)) = K(x,y). [para(5573(a,1),7269(a,1,2,2))]. 7282 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(5943(a,1),7269(a,1,2)),flip(a)]. 7283 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(6491(a,1),7269(a,1,2)),flip(a)]. 7284 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7269(a,1),5968(a,1,1)),flip(a)]. 7285 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7270(a,1),164(a,1,2,1))]. 7286 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7270(a,1),3939(a,1,2,1))]. 7287 T(x,y * K(z,x)) = T(x,y). [para(4738(a,1),7270(a,1,2,2))]. 7288 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5573(a,1),7270(a,1,2,2))]. 7290 T(x,y / T(z,x)) = T(x,y / z). [para(5936(a,1),7270(a,1,2)),flip(a)]. 7291 T(x,y * T(x,z)) = T(x,y * x). [para(5948(a,1),7270(a,1,2))]. 7292 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(5943(a,1),7270(a,1,2)),flip(a)]. 7293 K(x * K(y,z),z) = 1 / K(z,x). [hyper(199,a,4911,a,b,7272,a)]. 7294 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7272(a,1),3849(a,1,1))]. 7295 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7280(a,1),5721(a,1,1))]. 7296 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(199,a,6875,a,b,7115,a),flip(a)]. 7297 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(107(a,1),7127(a,1,2,2)),flip(a)]. 7298 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(7046(a,1),7127(a,1,2))]. 7299 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(28(a,2),7138(a,1,2,1)),flip(a)]. 7300 K(x,T(L(y \ z,y,u),u * y)) = K(x,(u * z) / (u * y)). [para(94(a,2),7138(a,1,2,1))]. 7301 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(743(a,1),7139(a,1,2)),flip(a)]. 7302 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(740(a,1),7139(a,1,2)),flip(a)]. 7303 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(746(a,1),7139(a,1,2))]. 7304 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(199,a,5442,a,b,7140,a)]. 7305 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [hyper(199,a,6099,a(flip),b,7140,a(flip)),flip(a)]. 7306 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(7140(a,1),6145(a,1))]. 7307 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(655(a,1),7142(a,1,1,1)),flip(a)]. 7308 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6267(a,1),7142(a,1,1)),flip(a)]. 7309 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7142(a,1),6367(a,1,1)),flip(a)]. 7310 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7144(a,1),4660(a,2,1)),flip(a)]. 7311 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7144(a,1),7272(a,1,1,2))]. 7312 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(6243,a,7146,a)]. 7313 x * K(T(y,x),z) = K(z,y) \ x. [hyper(199,a,5008,a,b,7146,a)]. 7314 (K(x,y) * z) \ z = K(y,T(x,z)). [para(7146(a,1),6232(a,1,1))]. 7315 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7146(a,1),6453(a,1,1,2))]. 7317 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(5037,a,7147,a)]. 7318 K(T(x,y),z) * y != y * u | K(x,z) = u. [para(7147(a,2),19(a,1))]. 7319 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7147(a,1),6817(a,1,2))]. 7320 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7147(a,1),6853(a,1,2))]. 7321 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(6054,a,7169,a)]. 7322 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(38(a,1),7169(a,1,2))]. 7323 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(117(a,1),7169(a,1,2)),flip(a)]. 7324 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(7169(a,1),5959(a,1,2)),flip(a)]. 7325 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7270(a,1),7169(a,1,2))]. 7326 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(199,a,7084,a,b,7176,a)]. 7327 T(K(x,y),x * z) = K(x,T(y,z)). [para(13(a,1),7176(a,1,2,2)),flip(a)]. 7328 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(199,a,5450,a(flip),b,7179,a(flip))]. 7329 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7179(a,1),4660(a,2,1)),flip(a)]. 7330 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7179(a,1),4661(a,1,1))]. 7331 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7179(a,2),5289(a,1,2))]. 7333 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(734(a,1),7180(a,1,1))]. 7334 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7180(a,1),6264(a,1,2))]. 7335 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3932(a,1),7181(a,1,1))]. 7336 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(744(a,2),7182(a,1,1))]. 7337 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(1164(a,1),7182(a,1,1))]. 7338 ((x * y) / x) * K(y,T(z,x)) != u | T((x * y) / x,z) = u. [para(7182(a,1),4655(a,1,2))]. 7339 L(K(x,T(y \ z,u)),y \ z,w) = K((u * x) / u,(z \ y) \ 1). [para(7182(a,1),6031(a,1,1))]. 7340 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(199,a,4815,a,b,7183,a(flip)),flip(a)]. 7341 T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). [para(7188(a,1),4652(a,2,2)),flip(a)]. 7342 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [hyper(199,a,5132,a,b,7190,a),flip(a)]. 7343 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(6999(a,1),7191(a,1,1,2)),flip(a)]. 7344 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(4697(a,1),7210(a,1,2,2)),flip(a)]. 7345 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7218(a,1),460(a,1,1))]. 7348 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6369(a,1),7234(a,1))]. 7349 K(x * T(y,z),y) = K(y * x,y). [hyper(199,a,5337,a(flip),b,7275,a)]. 7350 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(85(a,1),7277(a,1,1)),flip(a)]. 7351 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5431(a,1),7277(a,1,1))]. 7352 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(199,a,4043,a(flip),b,7291,a)]. 7353 K(x * K(y,z),z) != u | K(x,z) = u. [para(7293(a,2),4917(a,1))]. 7354 (K(x,y) \ z) \ z = K(x,T(y,z)). [para(7313(a,1),6232(a,1,1))]. 7356 K(x,T(y,x * z)) = K(x,T(y,z)). [para(13(a,1),7326(a,1,2,2)),flip(a)]. 7357 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),7326(a,1,2))]. 7358 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7326(a,1),4652(a,2,2))]. 7359 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7326(a,1),5835(a,1,1))]. 7360 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(7327(a,1),105(a,1,2))]. 7361 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),7349(a,1,1)),flip(a)]. 7362 T(x,x * (y / T(x,z))) = T(x,y). [para(64(a,1),7352(a,1,2)),flip(a)]. 7363 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(199,a,7009,a(flip),b,7356,a(flip))]. 7364 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(107(a,1),7356(a,1,2)),flip(a)]. 7365 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(6978(a,1),350(a,1,1)),flip(a)]. 7366 (((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(6986(a,1),739(a,1,1,2)),flip(a)]. 7367 L(K(x,y),z,x) != u | K(x,y) = u. [para(6992(a,2),254(a,1)),flip(b)]. 7370 K(L(x,y,x),z) != u | K(x,z) = u. [para(6381(a,1),7367(a,1))]. 7371 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6396(a,1),7367(a,1))]. 7372 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(662(a,1),7030(a,1,2,2))]. 7375 T(K(x,T(y,z)),u) != w | K(x,T(T(y,u),z)) = w. [para(110(a,1),7108(a,1,1,2))]. 7377 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7133(a,2),7108(a,1))]. 7378 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(7140(a,1),7108(a,1))]. 7381 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(6084(a,2),7132(a,1))]. 7382 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7133(a,2),7132(a,1))]. 7383 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7176(a,2),7132(a,1))]. 7384 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(6098(a,2),7135(a,1))]. 7385 K(x,((y * z) * u) / (y * u)) != w | K(T(x,y),R(z,y,u)) = w. [para(684(a,2),7152(a,1,2))]. 7386 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(7069(a,2),7152(a,1))]. 7387 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(199,a,6368,a(flip),b,7163,a(flip))]. 7388 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(107(a,1),7168(a,1,2,1))]. 7389 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7182(a,2),7168(a,1))]. 7390 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(7186(a,1),7168(a,1))]. 7391 R(x,y \ K(y,z),K(u,y)) = x. [para(4845(a,1),7227(a,1,2))]. 7392 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(199,a,6286,a(flip),b,7391,a(flip)),flip(a)]. 7397 L(K(x,y),y,z) != u | K(x,y) = u. [para(6003(a,2),7271(a,1))]. 7398 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(5943(a,1),7271(a,1,2))]. 7400 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6368(a,1),7397(a,1))]. 7401 K(x * (y * K(z,u)),z) = K(x * y,z). [para(92(a,1),7273(a,1,1))]. 7402 K(x * K(L(y,z,u),w),y) = K(x,y). [para(6381(a,1),7273(a,1,1,2))]. 7403 K(x,y * (z * K(u,x))) = K(x,y * z). [para(6455(a,1),7281(a,1,2)),flip(a)]. 7404 T(x,y * (z * K(x,u))) = T(x,y * z). [para(92(a,1),7288(a,1,2))]. 7405 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6381(a,1),7288(a,1,2,2))]. 7407 K(x,y / (z / x)) != u | K(x,y / (x \ z)) = u. [para(5970(a,1),7319(a,1,2))]. 7408 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(5970(a,1),7320(a,1,2))]. 7410 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1222(a,1),7353(a,1,1))]. 7411 K(x * y,x) != z | K(y * x,x) = z. [para(4746(a,1),7353(a,1,1))]. 7412 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(7313(a,1),7353(a,1,1))]. 7413 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(38(a,1),7377(a,1,2))]. 7414 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(40(a,2),7377(a,1,1))]. 7415 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(40(a,2),7377(a,1,2))]. 7416 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(42(a,2),7377(a,1,1))]. 7417 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),7377(a,1,2))]. 7418 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(107(a,1),7377(a,1,2))]. 7419 K(T(x,y),z / y) != u | K(x,y \ z) = u. [para(170(a,1),7377(a,1,2))]. 7420 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(40(a,2),7382(a,1,1))]. 7421 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(185(a,1),7382(a,1,1))]. 7423 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(6289(a,1),7382(a,1,1))]. 7424 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(6612(a,2),7382(a,1))]. 7425 K(x,y / (y / z)) != u | K(x,T(z,y)) = u. [para(7171(a,2),7382(a,1))]. 7427 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7105(a,1),7402(a,1,1))]. 7428 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(401(a,1),7405(a,1,2))]. 7429 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(5323(a,2),7411(a,1))]. 7430 K(K(x,y) * z,x) != u | K(z,x) = u. [para(5028(a,1),7412(a,1,1))]. 7431 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7427(a,1),7191(a,1,1,2)),flip(a)]. 7432 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(199,a,6518,a(flip),b,6971,a(flip)),flip(a)]. 7435 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(199,a,6352,a,b,6991,a(flip)),flip(a)]. 7436 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(199,a,6323,a,b,6991,a(flip)),flip(a)]. 7437 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(173(a,1),6991(a,1,2,1)),flip(a)]. 7438 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(4851(a,1),6991(a,1,2,1)),flip(a)]. 7439 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(6991(a,1),6180(a,2,2))]. 7440 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(6991(a,1),6396(a,1,1))]. 7441 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(199,a,6350,a,b,6997,a(flip)),flip(a)]. 7442 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(199,a,6347,a,b,6997,a(flip)),flip(a)]. 7443 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),6997(a,1,1,1)),flip(a)]. 7444 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(6997(a,1),6082(a,1,2))]. 7445 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7000(a,1),5410(a,1,1,1,2))]. 7446 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(199,a,42,a,b,7017,a)]. 7447 L(x,y,K(x,z)) = x. [hyper(4498,a,7023,a)]. 7449 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(199,a,4899,a(flip),b,7023,a)]. 7450 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7023(a,1),145(a,2,1)),flip(a)]. 7451 T(K(x,y) * z,y) * x = K(x,y) * (T(z,y) * x). [para(6902(a,2),7023(a,1,1))]. 7452 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(7447(a,1),45(a,1,1)),flip(a)]. 7453 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7447(a,1),397(a,1,2,1))]. 7454 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7447(a,1),398(a,1,2,1))]. 7456 L(x,y,K(z,x)) = x. [para(4738(a,1),7447(a,1,3))]. 7458 L(x,y,R(K(x,z),u,w)) = x. [para(5706(a,1),7447(a,1,3))]. 7459 L(K(x,y),z,K(x,u)) = K(x,y). [para(7447(a,1),6379(a,1,1)),flip(a)]. 7460 L(K(x,y),z,K(y,u)) = K(x,y). [para(7447(a,1),6385(a,1,2)),flip(a)]. 7463 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7456(a,1),45(a,1,1)),flip(a)]. 7464 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7456(a,1),92(a,1,2))]. 7465 L(K(x,y),z,K(u,x)) = K(x,y). [para(7456(a,1),6379(a,1,1)),flip(a)]. 7466 L(K(x,y),z,K(u,y)) = K(x,y). [para(7456(a,1),6385(a,1,2)),flip(a)]. 7467 L(x,y,K(R(x,z,u),w)) = x. [para(5835(a,1),7458(a,1,3))]. 7468 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(7467(a,1),395(a,1,2,2)),flip(a)]. 7469 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(199,a,6387,a(flip),b,7459,a(flip)),flip(a)]. 7470 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(199,a,6373,a(flip),b,7460,a(flip))]. 7471 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(199,a,6387,a(flip),b,7465,a(flip)),flip(a)]. 7472 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(199,a,6381,a(flip),b,7466,a(flip)),flip(a)]. 7473 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7466(a,1),92(a,1,2))]. 7474 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),7471(a,1,2))]. 7475 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5022(a,1),7471(a,1,2))]. 7476 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7472(a,1),4620(a,2,1,1))]. 7477 L(x,y,K(z,x)) != u | u = x. [para(7452(a,1),6638(a,1))]. 7478 L(x,y,T(x,z)) = L(x,y,x). [hyper(6756,a,7463,a),flip(a)]. 7480 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(7478(a,1),40(a,2,1))]. 7482 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(199,a,4059,a(flip),b,7036,a)]. 7483 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7036(a,1),1510(a,1,1))]. 7484 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7036(a,1),7010(a,1,2))]. 7485 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7038(a,1),105(a,1,2)),flip(a)]. 7486 T(x,y) \ (x * L(y,z,y)) = L(T(y,x),z,y). [hyper(68,a,7040,a(flip),b,3943,a)]. 7489 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7047(a,1),105(a,1,2)),flip(a)]. 7490 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7047(a,1),6810(a,1,1,2)),flip(a)]. 7491 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(234(a,1),7091(a,1,1,1)),flip(a)]. 7492 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(3905(a,1),7091(a,1,1,1))]. 7494 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(7084(a,1),7103(a,2,1))]. 7496 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(6086(a,1),7136(a,1,1))]. 7497 K(x,y) * (z * x) = z * T(x,T(y,z)). [para(7104(a,1),7136(a,1,1))]. 7498 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(5600(a,1),7148(a,2,2,1))]. 7499 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7151(a,1),1644(a,1,2))]. 7500 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(69,a,7155,a(flip),b,4899,a(flip))]. 7501 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7176(a,1),7155(a,1,1))]. 7502 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(199,a,7141,a(flip),b,7202,a)]. 7503 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(199,a,4957,a,b,7209,a)]. 7504 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(7211(a,1),4603(a,2,2))]. 7505 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4632(a,1),7219(a,1,1)),flip(a)]. 7506 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5581,a,7230,a),flip(a)]. 7507 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6132(a,1),7237(a,1,2)),flip(a)]. 7508 K(x / y,z \ y) = K(y / z,y \ x). [hyper(199,a,4738,a,b,7238,a),flip(a)]. 7509 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(199,a,4660,a,b,7246,a)]. 7510 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4625(a,1),7509(a,1,2,2,1))]. 7511 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7037(a,1),7249(a,1,2,1))]. 7512 (x * y) * K(z,(x * y) \ y) = K(z,x \ 1) * (x * y). [para(5239(a,1),7255(a,1,1)),flip(a)]. 7513 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5240(a,1),7255(a,1,1)),flip(a)]. 7514 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7259(a,1),262(a,1,1)),flip(b)]. 7515 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(6243,a,7265,a)]. 7516 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7265(a,2),5727(a,1,2))]. 7517 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(7265(a,1),6256(a,1,1)),flip(b)]. 7518 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(199,a,7026,a,b,7282,a(flip)),flip(a)]. 7519 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(4738(a,1),7283(a,1,2,1,1))]. 7520 K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). [para(4961(a,1),7283(a,1,2,1))]. 7521 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(199,a,7060,a,b,7292,a(flip)),flip(a)]. 7522 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5395(a,2),7296(a,2,2))]. 7523 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(199,a,7326,a(flip),b,7297,a)]. 7524 K(x,T(y,z / x)) = T(K(x,y),z). [hyper(199,a,7176,a(flip),b,7297,a)]. 7525 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(4794(a,1),7297(a,1,2,2)),flip(a)]. 7526 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),7523(a,1,2,2)),flip(a)]. 7527 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(120(a,1),7523(a,1,2,2)),flip(a)]. 7528 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4091(a,1),7523(a,1,2))]. 7529 T(K(x,y),z * x) = K(x,T(y,z)). [para(15(a,1),7524(a,1,2,2)),flip(a)]. 7530 x * T(K(x,y),z) != u | T(x,T(y,z / x)) = u. [para(7524(a,1),4655(a,1,2))]. 7531 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(199,a,6994,a,b,7526,a),flip(a)]. 7532 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(199,a,7009,a(flip),b,7526,a(flip))]. 7533 T(K(x,y),z * x) = T(K(x,y),x * z). [hyper(199,a,7327,a,b,7529,a)]. 7534 T(K(x,y),z * x) = T(K(x,y),z). [hyper(199,a,7084,a(flip),b,7529,a)]. 7535 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7534(a,2),7132(a,1))]. 7537 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(32(a,2),7304(a,1,1,1)),flip(a)]. 7538 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [hyper(199,a,5442,a,b,7321,a)]. 7539 R(x,y \ z,K(y / z,u)) = x. [para(7321(a,1),6706(a,1,3))]. 7540 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(7539(a,1),421(a,1,1))]. 7541 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(199,a,7091,a,b,7328,a),flip(a)]. 7542 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7351(a,1),5228(a,1,1,2))]. 7543 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(199,a,4652,a,b,7358,a)]. 7544 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(7358(a,2),4655(a,1))]. 7545 T(x,T(y,x \ y)) = T(x,y). [para(104(a,1),7543(a,2,2))]. 7546 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(107(a,1),7543(a,1,2)),flip(a)]. 7547 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7543(a,1),4653(a,1,2,1))]. 7548 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6138(a,1),7543(a,1,2))]. 7549 T(x,T(x * y,y)) = T(x,x * y). [para(13(a,1),7545(a,1,2,2))]. 7550 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(5936(a,1),7401(a,1,1,2)),flip(a)]. 7551 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(6430(a,1),7401(a,1,1,2))]. 7552 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7105(a,1),7401(a,1,1,2))]. 7553 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(7210(a,1),7401(a,1,1,2))]. 7554 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(222(a,1),7403(a,1,2,2))]. 7555 T(x,y * (z * x)) = T(x,y * (x * z)). [para(85(a,1),7404(a,1,2,2)),flip(a)]. 7556 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(14(a,1),7432(a,2,2,2))]. 7557 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(199,a,5701,a,b,7435,a(flip)),flip(a)]. 7558 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(28(a,2),7435(a,1,2)),flip(a)]. 7559 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(94(a,2),7435(a,1,2))]. 7560 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(161(a,1),7435(a,1,2)),flip(a)]. 7561 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7441(a,1),5410(a,1,1,1,2))]. 7562 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(68,a,7446,a(flip),b,4950,a)]. 7563 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(4628(a,2),7449(a,1,1))]. 7565 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7464(a,1),4900(a,1,2,2))]. 7566 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(199,a,40,a,b,7480,a)]. 7567 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(6314(a,1),7497(a,1,2)),flip(a)]. 7568 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(106(a,1),7500(a,1,1,2))]. 7569 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1605(a,1),7500(a,1,1,2))]. 7570 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7270(a,1),7500(a,1,1,2)),flip(a)]. 7571 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(4738(a,1),7502(a,1,2,2,1))]. 7572 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7106(a,1),7502(a,1,2,2))]. 7573 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(68,a,5130,a(flip),b,7503,a(flip))]. 7574 (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(7503(a,2),162(a,1,1,1))]. 7575 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7104(a,1),7503(a,1,2)),flip(a)]. 7577 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(7106(a,1),7519(a,1,2,1))]. 7578 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(6160,a,7541,a)]. 7579 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5313(a,1),7552(a,1,1,2)),flip(a)]. 7580 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7552(a,1),5412(a,1,2,1,2)),flip(a)]. 7581 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7552(a,1),5413(a,1,2,1,2)),flip(a)]. 7582 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(7556(a,1),4652(a,2,2))]. 7583 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(199,a,5653,a,b,7566,a(flip)),flip(a)]. 7585 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(199,a,7084,a(flip),b,7571,a)]. 7586 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(6504(a,1),7572(a,1,2,2)),flip(a)]. 7587 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7573(a,1),1046(a,1,1))]. 7588 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(6491(a,1),7577(a,1,2,1)),flip(a)]. 7589 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7578(a,1),4780(a,2,2,2)),flip(a)]. 7590 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [hyper(7247,a,7585,a)]. 7591 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(5586(a,1),7590(a,1,2,1))]. 7592 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(T(x,y),z,u)) = v5. [para(7186(a,1),7083(a,1))]. 7593 T(x,K(y,x \ z)) != u | T(x,K(y,z / x)) = u. [para(107(a,1),7114(a,1,2,2))]. 7594 T(x,T(y,z) \ T(x,z)) != u | T(x,T(y \ x,z)) = u. [para(6610(a,2),7192(a,1))]. 7595 T(x,T(T(y,z),z)) != u | T(x,y) = u. [para(7190(a,1),7212(a,1))]. 7596 T(x,T(y \ z,y)) != u | T(x,z / y) = u. [para(107(a,1),7595(a,1,2,1))]. 7600 T(K(x,y),T(z,y)) != u | T(K(x,y),z) = u. [para(6894(a,1),7595(a,1))]. 7602 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7186(a,1),7233(a,1))]. 7603 T(K(x,y),y * z) != u | K(x,T(y,z)) = u. [para(7084(a,1),7235(a,1))]. 7604 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(199,a,7191,a(flip),b,7343,a)]. 7605 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(409(a,1),7604(a,1,2,2)),flip(a)]. 7606 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(117(a,1),7378(a,1,2))]. 7607 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(4799(a,2),7378(a,1,1))]. 7608 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(563(a,2),7381(a,1))]. 7610 K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. [para(3866(a,1),7381(a,1,2))]. 7611 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(7189(a,2),7386(a,1))]. 7612 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(24(a,2),7388(a,1,2,1))]. 7614 K(x \ (x * y),z) != u | K(y,z) = u. [para(7179(a,1),7389(a,1))]. 7618 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),7410(a,1,1,2))]. 7619 K(T(x,y),(y * K(z,x)) \ u) != w | K(x,u / (y * K(z,x))) = w. [para(7287(a,1),7418(a,1,1))]. 7621 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(744(a,2),7421(a,1,1))]. 7622 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(199,a,4620,a,b,7476,a)]. 7623 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(94(a,1),7622(a,1,2))]. 7624 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(7168,a,7531,a)]. 7625 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7531(a,1),7370(a,1))]. 7627 T(K(x,y),x * z) != u | K(x,T(y,z)) = u. [para(7533(a,1),7535(a,1))]. 7630 T(K(x,y \ z),T(y,z)) != u | T(K(x,y \ z),y) = u. [para(7078(a,1),7600(a,1))]. 7631 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(6104(a,2),7603(a,1))]. 7632 K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. [para(5753(a,2),7625(a,1))]. 7633 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7084(a,2),7627(a,1))]. 7634 K(x,y / (x * z)) != u | K(x,T((x * z) \ y,z)) = u. [para(7107(a,1),7627(a,1))]. 7635 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(6932(a,1),215(a,1,2))]. 7636 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(199,a,4691,a(flip),b,6957,a)]. 7637 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(6976(a,1),5963(a,1,2))]. 7638 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(199,a,6169,a,b,7024,a),flip(a)]. 7639 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(199,a,2972,a(flip),b,7024,a)]. 7640 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5586(a,1),7024(a,2,2))]. 7641 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(6916(a,2),7032(a,1,1))]. 7643 x * T(x \ y,K(x,z)) = T(y,K(x,x * z)). [para(7077(a,1),6175(a,1,2))]. 7644 K(x,T(T(y / z,y),u)) = K(x,T(z \ y,u)). [para(38(a,1),7087(a,1,2))]. 7645 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6231(a,1),7126(a,1,2,1))]. 7646 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(117(a,1),7178(a,2,2))]. 7647 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1687(a,1),7178(a,1,1)),flip(a)]. 7648 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2963(a,1),7178(a,2,2))]. 7649 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(3905(a,1),7178(a,1,1,1))]. 7650 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(6435,a,7203,a)]. 7651 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1438(a,1),7203(a,1,1))]. 7652 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1438(a,1),7204(a,1,2))]. 7653 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7205(a,1),6846(a,1,1,1))]. 7654 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(4624(a,1),7208(a,1,2,2))]. 7655 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(7503(a,1),7213(a,1,1))]. 7657 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(7261(a,1),4652(a,2,2))]. 7658 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(199,a,6218,a(flip),b,7267,a)]. 7659 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(4747(a,1),7658(a,1,1))]. 7660 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7084(a,2),7658(a,1,1))]. 7661 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(7298(a,1),7105(a,1,2))]. 7662 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7308(a,1),7147(a,1,1))]. 7663 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(1156(a,1),7310(a,1,2))]. 7664 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1224(a,1),7311(a,1,1))]. 7665 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(199,a,7128,a(flip),b,7322,a(flip))]. 7666 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6411(a,1),7329(a,1,1))]. 7667 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(7197,a,7337,a)]. 7668 T(x,y) * K(x,K(y,z)) = x * T(K(x,y),z). [hyper(199,a,7296,a(flip),b,7341,a)]. 7669 K(x,y) * (x * z) != (x * z) * u | K(x,T(y,z)) = u. [para(7360(a,1),19(a,1))]. 7670 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(7084(a,2),7360(a,1,2,2))]. 7671 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(199,a,5733,a(flip),b,7363,a)]. 7672 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(199,a,6991,a(flip),b,7364,a)]. 7674 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4652(a,2),7392(a,1,1))]. 7675 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(7674(a,2),63(a,1,1))]. 7676 (x \ K(x,y)) \ y = (x \ 1) \ T(y,x). [para(7675(a,1),6541(a,1,1))]. 7677 (x \ K(x,y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(107(a,1),7676(a,2,2))]. 7678 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6471,a,7442,a)]. 7679 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(5451,a,7442,a),flip(a)]. 7680 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(199,a,7443,a(flip),b,7679,a(flip))]. 7681 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(7680(a,1),4780(a,2,2,2))]. 7682 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [hyper(5100,a,7486,a)]. 7683 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3100,a,7682,a)]. 7684 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(68,a,7682,a(flip),b,4016,a),flip(a)]. 7685 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(5710(a,1),7683(a,2,1))]. 7686 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7683(a,1),5656(a,1,1)),flip(a)]. 7687 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6415(a,1),7507(a,1,2))]. 7688 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,y \ (x \ y)). [hyper(199,a,5201,a,b,7513,a),flip(a)]. 7689 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(17,a,7105,a,b,7513,a),flip(a)]. 7690 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(63(a,1),7689(a,2,2,2))]. 7692 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(63(a,1),7538(a,1,1,1)),flip(a)]. 7693 T(x * y,T(y,x)) != z | T(x * y,y) = z. [para(7548(a,1),6886(a,1))]. 7694 L(x * K(y,z),K(z,y),x * K(y,z)) != u | T(K(y,z) * x,x) = u. [para(6668(a,2),7693(a,1))]. 7695 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(3879(a,1),7550(a,1,1,2)),flip(a)]. 7696 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(3875(a,1),7550(a,1,1,2)),flip(a)]. 7697 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7557(a,1),6600(a,2,2))]. 7698 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(154,a,7563,a,b,926,a)]. 7700 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(5516(a,1),7579(a,1,1,2))]. 7701 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(199,a,4652,a,b,7582,a)]. 7703 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(13(a,1),7701(a,1,2,2,1))]. 7704 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(7701(a,1),4608(a,1,1,1)),flip(a)]. 7705 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(7703(a,1),4653(a,1,2,1))]. 7706 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7639(a,2),6440(a,1,2))]. 7707 T(x * y,K(x,x * z)) = x * T(y,K(x,z)). [para(13(a,1),7643(a,1,2,1)),flip(a)]. 7708 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6251(a,1),7648(a,1,1,1))]. 7709 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(4633,a,7659,a)]. 7710 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(199,a,7169,a(flip),b,7665,a)]. 7711 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(4905,a,7668,a)]. 7712 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [hyper(4839,a,7711,a)]. 7713 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(199,a,7084,a,b,7711,a)]. 7714 K(x,K(y,R(x,z,u))) = 1. [hyper(67,a,3125,a(flip),b,7711,a),flip(a)]. 7715 K(x,K(y,z)) = K(z,K(y,x)). [hyper(17,a,5287,a,b,7711,a)]. 7716 K(x,K(y,z)) = K(z,K(x,y)). [hyper(17,a,4685,a(flip),b,7711,a)]. 7717 K(K(x,y),z) = K(x,K(y,z)). [hyper(17,a,4652,a(flip),b,7711,a),flip(a)]. 7718 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(6818(a,1),7711(a,1,2,2)),flip(a)]. 7719 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7711(a,2),7132(a,1))]. 7720 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7714,a)]. 7721 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7720(a,1),38(a,1,1)),flip(a)]. 7722 K(K(x,y),z) = K(y,K(x,z)). [hyper(4862,a,7715,a)]. 7723 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(7715(a,1),85(a,1,2))]. 7724 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7715(a,1),4619(a,2,1)),flip(a)]. 7725 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7715(a,1),4652(a,2,2)),flip(a)]. 7727 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7715(a,1),5272(a,1,1))]. 7728 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7715(a,1),5273(a,1,2))]. 7729 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7715(a,1),5289(a,1))]. 7730 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(7715(a,1),5292(a,1))]. 7731 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(7715(a,1),7093(a,1,1))]. 7732 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5289,a,7716,a)]. 7733 K(K(x,y),z) = K(y,K(z,x)). [hyper(4862,a,7716,a)]. 7734 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(199,a,7118,a,b,7716,a),flip(a)]. 7735 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7716(a,1),4685(a,2,2)),flip(a)]. 7736 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7716(a,2),4797(a,1,2))]. 7737 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7716(a,1),5272(a,1,1))]. 7738 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7716(a,1),5273(a,1,2))]. 7739 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7716(a,1),5289(a,1))]. 7740 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7716(a,2),5289(a,1))]. 7741 K(x,K(y,z)) * K(x,z) = T(K(x,z),y). [para(7716(a,1),5288(a,1,1))]. 7742 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7716(a,2),4977(a,1,1))]. 7743 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7716(a,1),5290(a,1,2))]. 7744 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7716(a,2),5437(a,1,1))]. 7745 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7716(a,2),5937(a,1,2))]. 7746 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(7716(a,2),6080(a,2,2))]. 7747 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(7716(a,2),6081(a,1,2,2))]. 7748 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(7716(a,2),6240(a,1,1,2))]. 7749 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7141(a,1),7716(a,1,2))]. 7750 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7716(a,1),7094(a,1,2))]. 7751 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(199,a,5586,a(flip),b,7717,a)]. 7752 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(199,a,5703,a,b,7717,a(flip)),flip(a)]. 7753 K(x,K(y,z)) / z = 1 / T(z,K(x,y)). [hyper(69,a,7717,a(flip),b,4597,a(flip))]. 7756 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7717(a,1),5595(a,2,1))]. 7757 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7717(a,1),6443(a,1,2))]. 7758 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(6807(a,1),7717(a,1,1)),flip(a)]. 7759 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7717(a,1),7655(a,2,1))]. 7760 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7722(a,1),4622(a,1,1))]. 7762 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5586(a,1),7722(a,1,1)),flip(a)]. 7764 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(7732(a,1),4626(a,1,2,1))]. 7765 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5255(a,2),7732(a,1,2))]. 7766 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7732(a,1),5289(a,1))]. 7767 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7732(a,1),4844(a,1,2))]. 7768 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(7732(a,1),6007(a,1,2))]. 7769 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(6819(a,1),7732(a,1,2)),flip(a)]. 7770 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7469(a,1),7732(a,1,2)),flip(a)]. 7771 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7725(a,1),7572(a,1,2,2))]. 7772 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(199,a,6338,a,b,7727,a)]. 7774 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7728(a,1),7404(a,1,2,2))]. 7777 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7097(a,1),7712(a,1,1,2)),flip(a)]. 7778 K(x,K(y,z)) * K(x,y) != u | K(x,T(y,z)) = u. [para(7712(a,2),7132(a,1))]. 7779 K(x,y) * K(x,T(y,z)) = K(x,K(y,z)). [hyper(5045,a,7713,a)]. 7780 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(67,a,7186,a(flip),b,7713,a),flip(a)]. 7781 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7713(a,1),19(a,1))]. 7782 K(x,y) * K(x,T(y,z)) != u | K(x,K(y,z)) = u. [para(7713(a,1),5042(a,1,2)),flip(b)]. 7783 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(6518(a,1),7713(a,1,2,2))]. 7784 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7326(a,1),7724(a,1,1,2))]. 7785 K(x,T(y,z)) * K(x,y) = K(x,K(y,z)). [hyper(6250,a,7731,a)]. 7786 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7731(a,1),4839(a,1))]. 7787 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(1916,a,7734,a)]. 7788 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(7260(a,1),7734(a,1,2))]. 7789 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7141(a,1),7735(a,1,2,2))]. 7790 K(x,K(y,y \ z)) * K(x,y \ z) = K(x,z / y). [hyper(199,a,7107,a(flip),b,7741,a)]. 7791 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7523(a,1),7749(a,2,2))]. 7792 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(7749(a,2),7713(a,1,2))]. 7793 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(199,a,7717,a(flip),b,7758,a)]. 7794 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(199,a,7732,a,b,7769,a)]. 7795 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(7247,a,7771,a)]. 7796 K(x,T(y,z)) * K(x,y) = K(x,K(z,y)). [hyper(199,a,5286,a,b,7785,a)]. 7797 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(7787(a,1),6256(a,1,1)),flip(b)]. 7798 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(4738(a,1),7793(a,1,1,1))]. 7799 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(7793(a,1),5973(a,1,3))]. 7800 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6583,a,7799,a)]. 7801 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5126(a,1),7794(a,1,2,2)),flip(a)]. 7802 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(7317(a,1),7794(a,1,2,2)),flip(a)]. 7803 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(7802(a,1),7727(a,1,1))]. 7804 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(7671(a,2),7105(a,2,1)),flip(a)]. 7805 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(199,a,5492,a(flip),b,7678,a(flip))]. 7806 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(17,a,6907,a(flip),b,7707,a(flip)),flip(a)]. 7807 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(199,a,5271,a,b,7806,a)]. 7808 T(x,K(y,y * T(x,z))) = x. [hyper(199,a,3024,a(flip),b,7806,a)]. 7809 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(14(a,1),7806(a,1,2,2)),flip(a)]. 7810 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(35,a,7808,a)]. 7811 T(x,K(y,z * y)) = T(x,K(z,y)). [para(5255(a,2),7807(a,1,2))]. 7812 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7807(a,1),6878(a,1,1))]. 7813 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [hyper(199,a,4652,a(flip),b,7809,a)]. 7814 T(T(x,y \ z),z / y) = T(x,K(y,z)). [hyper(199,a,6899,a,b,7809,a(flip)),flip(a)]. 7815 K(x,K(y,y \ z)) = K(x,K(y,z)). [hyper(4708,a,7813,a)]. 7816 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7813(a,2),4655(a,1))]. 7817 K(x,K(y,y * z)) = K(x,K(y,z)). [para(13(a,1),7815(a,1,2,2)),flip(a)]. 7818 K(x,K(y,z * y)) = K(x,K(y,z)). [para(4828(a,1),7815(a,1,2)),flip(a)]. 7819 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(4850(a,1),7815(a,1,2))]. 7820 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(5750(a,1),7815(a,1,2))]. 7821 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(7817(a,1),7094(a,1,2))]. 7822 T(x,K(y,x * z)) = K(y,K(x,z)) * x. [para(7817(a,1),7737(a,1,1)),flip(a)]. 7823 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(7740,a,7818,a)]. 7824 K(x,K(y,z * y)) = K(y,K(x,z)). [hyper(199,a,7732,a,b,7818,a)]. 7825 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(83(a,1),7818(a,1,2,2))]. 7826 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7818(a,2),5289(a,1))]. 7827 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(199,a,7715,a,b,7823,a)]. 7828 T(T(x,K(y,z)),z / y) = T(x,y \ z). [para(7814(a,1),47(a,1,1))]. 7829 T(T(x,K(y,z)),z / y) != u | T(x,y \ z) = u. [para(7814(a,1),338(a,1,1)),flip(b)]. 7830 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(5289,a,7820,a),flip(a)]. 7831 T(x,K(y,x * z)) = T(x,K(y,z)). [hyper(199,a,7737,a(flip),b,7822,a)]. 7832 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(199,a,5271,a,b,7831,a)]. 7833 T(x,K(y,x \ z)) = T(x,K(y,z)). [para(14(a,1),7831(a,1,2,2)),flip(a)]. 7834 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(7832(a,1),38(a,1,1)),flip(a)]. 7835 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(7832(a,1),6878(a,1,1))]. 7836 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(5276(a,1),7828(a,1,1)),flip(a)]. 7837 T(T(x,K(y,z * K(u,y \ 1))),(z / y) * K(u,y \ 1)) = T(x,y \ (z * K(u,y \ 1))). [para(5696(a,1),7828(a,1,2))]. 7838 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(199,a,7815,a(flip),b,7830,a)]. 7839 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(199,a,7716,a(flip),b,7838,a)]. 7840 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(60(a,1),7838(a,1,2,1)),flip(a)]. 7841 K(x,K(y,z \ y)) = K(x,K(z,y)). [para(4989(a,1),7838(a,1,2))]. 7842 K(x,K(x / y,z)) = K(x,K(z,y)). [hyper(7740,a,7839,a)]. 7843 K(x,K(y \ z,z)) = K(z,K(x,y)). [para(4991(a,1),7839(a,1,2))]. 7844 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(199,a,7819,a,b,7841,a(flip)),flip(a)]. 7845 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(199,a,5286,a,b,7842,a)]. 7847 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(7843(a,2),7766(a,1))]. 7848 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(7729,a,7844,a)]. 7849 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(5289,a,7844,a)]. 7850 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(199,a,7732,a,b,7844,a)]. 7851 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(199,a,5286,a,b,7844,a)]. 7852 K(x,K(y,1 / z)) = K(x,K(z,y)). [para(3385(a,2),7844(a,1,2))]. 7853 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7844(a,2),5289(a,1))]. 7854 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6005(a,1),7844(a,1,2)),flip(a)]. 7855 K(x / y,K(x,z)) = K(x,K(y,z)). [hyper(7739,a,7845,a)]. 7856 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(3109,a,7848,a),flip(a)]. 7857 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(199,a,7732,a,b,7848,a)]. 7858 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(199,a,5286,a,b,7848,a)]. 7859 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(199,a,7716,a(flip),b,7849,a)]. 7860 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(68,a,7849,a(flip),b,5387,a(flip))]. 7861 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5590(a,2),7849(a,1,2))]. 7862 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(63(a,1),7850(a,1,2,2)),flip(a)]. 7863 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(63(a,1),7851(a,1,2,2)),flip(a)]. 7864 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(7851(a,1),4652(a,2,2))]. 7865 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5235(a,1),7851(a,1,2))]. 7866 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(7851(a,1),7711(a,1,2))]. 7867 K(x,K(y,z)) * K(x,y) = K(x,T(y,z \ 1)). [para(7851(a,1),7731(a,1,1))]. 7868 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(7852(a,2),5289(a,1))]. 7869 K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. [para(7855(a,1),7739(a,1))]. 7870 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(199,a,5591,a,b,7858,a(flip)),flip(a)]. 7871 T(1 / x,K(y,z)) = K(y,K(z,x)) / x. [hyper(69,a,7858,a(flip),b,4874,a),flip(a)]. 7872 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(5610(a,1),7859(a,1,2)),flip(a)]. 7873 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(199,a,5466,a(flip),b,7862,a(flip)),flip(a)]. 7874 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7862(a,2),5289(a,1))]. 7875 K(x,K(y,1 / z)) != u | K(x,K(z,y)) = u. [para(7863(a,2),5289(a,1))]. 7876 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5216(a,1),7836(a,1,1,2))]. 7877 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(7854(a,1),5289(a,1))]. 7878 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6481(a,1),7854(a,1,2)),flip(a)]. 7879 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(199,a,4652,a,b,7864,a)]. 7880 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(199,a,5273,a(flip),b,7864,a)]. 7881 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(5284,a,7879,a)]. 7882 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(7879(a,1),105(a,1,2))]. 7883 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6032(a,1),7879(a,1,2))]. 7884 T(x,K(y,x \ z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(7879(a,1),6336(a,1,1))]. 7885 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(7879(a,1),6897(a,1))]. 7886 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(5284,a,7880,a)]. 7888 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(7886(a,2),5284(a,1))]. 7889 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(199,a,7753,a(flip),b,7871,a),flip(a)]. 7890 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(199,a,7809,a(flip),b,7883,a)]. 7891 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(7883(a,1),5284(a,1))]. 7892 T(x,K(y,y / z)) = T(x,K(z,y)). [para(63(a,1),7890(a,1,2,1)),flip(a)]. 7893 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(6231(a,1),7889(a,1,2)),flip(a)]. 7894 T(x,K(y,z)) != u | T(x,K(y,y * z)) = u. [para(13(a,1),7816(a,1,2,2))]. 7895 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(4830(a,2),7816(a,1,2))]. 7896 K(x,K(y,x * z)) = K(y,K(z,x)). [hyper(7826,a,7765,a),flip(a)]. 7897 K(x,K(y,x * z)) = K(x,K(z,y)). [hyper(199,a,7715,a,b,7896,a)]. 7898 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(5289,a,7897,a)]. 7899 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(199,a,7732,a,b,7898,a)]. 7900 K(x \ y,K(x,z)) = K(x,K(y,z)). [para(14(a,1),7899(a,1,2,1)),flip(a)]. 7901 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(199,a,7749,a(flip),b,7900,a(flip)),flip(a)]. 7902 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5235(a,1),7853(a,1,2))]. 7903 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5239(a,2),7853(a,1,2))]. 7904 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(5242(a,2),7875(a,1,2))]. 7905 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6228(a,2),7760(a,1,2))]. 7906 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7731(a,1),7764(a,1,2)),flip(a)]. 7907 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(7791(a,2),7739(a,1))]. 7908 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(6198,a,7800,a)]. 7909 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7800(a,2),5026(a,1,1))]. 7910 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(7810(a,1),7494(a,2,1))]. 7911 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(199,a,6879,a(flip),b,7834,a)]. 7912 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(68,a,7911,a(flip),b,6236,a)]. 7913 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(4066,a,7835,a)]. 7914 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(199,a,7713,a(flip),b,7866,a(flip))]. 7915 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(7132,a,7914,a)]. 7916 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [para(7914(a,1),7115(a,1,2)),flip(a)]. 7917 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(7914(a,2),7247(a,1))]. 7918 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(199,a,7528,a(flip),b,7915,a(flip)),flip(a)]. 7919 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(63(a,1),7915(a,1,2,2)),flip(a)]. 7920 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(13(a,1),7918(a,1,2,2))]. 7921 K(x,T(y,z)) * (z \ x) = (z \ x) * K(x,y). [para(7918(a,1),7106(a,1,1))]. 7922 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(7916(a,2),4655(a,1))]. 7923 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(234(a,1),7920(a,1,2)),flip(a)]. 7924 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(544(a,1),7920(a,1,2)),flip(a)]. 7926 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(5757(a,1),7905(a,1,1,2))]. 7927 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(7913(a,1),163(a,1,2))]. 7928 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(199,a,6381,a(flip),b,6814,a(flip)),flip(a)]. 7929 K(L(x,K(y,z),u),y) = K(x,y). [hyper(199,a,6807,a(flip),b,7928,a)]. 7931 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(198(a,1),7929(a,1,1))]. 7932 K(x,y \ (x * z)) != u | K(x,(y / x) \ z) = u. [para(6971(a,1),6860(a,1))]. 7933 K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. [para(6518(a,1),6996(a,1))]. 7934 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(199,a,6381,a(flip),b,7006,a)]. 7935 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(409(a,1),7934(a,1,2)),flip(a)]. 7936 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5008(a,1),7154(a,1))]. 7937 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(7901(a,2),7195(a,1))]. 7940 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(199,a,5835,a(flip),b,7294,a(flip)),flip(a)]. 7941 K(R(x,K(y,z),u),z) = K(x,z). [hyper(199,a,7272,a(flip),b,7940,a)]. 7943 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(46(a,1),7941(a,1,1))]. 7944 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(199,a,5727,a(flip),b,7295,a(flip)),flip(a)]. 7945 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(199,a,7280,a(flip),b,7944,a)]. 7947 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),7945(a,1,2))]. 7948 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(6350(a,2),7348(a,1))]. 7949 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(6352(a,2),7371(a,1))]. 7953 K(x,(y * x) / z) != u | K(x,y / (x \ z)) = u. [para(7026(a,2),7407(a,1))]. 7954 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(7530,a,7115,a)]. 7955 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [hyper(199,a,7543,a,b,7954,a)]. 7956 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(60(a,1),7954(a,1,2,2)),flip(a)]. 7957 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(7955(a,2),7544(a,1))]. 7958 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(7956(a,1),7127(a,1,2))]. 7959 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(107(a,1),7958(a,1,2,2)),flip(a)]. 7960 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). [para(1561(a,1),7558(a,1,2,2,2)),flip(a)]. 7961 K(x,y \ (x \ (y * z))) != u | L(K(x,x \ z),z,y) = u. [para(7559(a,1),6403(a,1))]. 7962 T(x,K(y,z / x)) = T(x,K(y,z)). [hyper(7593,a,7833,a)]. 7963 T(x,K(y,z * x)) = T(x,K(y,z)). [para(15(a,1),7962(a,1,2,2)),flip(a)]. 7964 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(199,a,5271,a,b,7963,a)]. 7965 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(5284,a,7964,a)]. 7966 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(7618,a,7443,a)]. 7967 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7441(a,2),7618(a,1))]. 7968 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7443(a,1),7618(a,1))]. 7969 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(199,a,7000,a(flip),b,7966,a(flip))]. 7971 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7827(a,1),7719(a,1,2))]. 7972 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7749(a,2),7736(a,1,2))]. 7973 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7867(a,1),7778(a,1))]. 7974 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4094(a,1),7973(a,1,2))]. 7975 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(6132(a,1),7973(a,1,2))]. 7976 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(7891,a,7833,a)]. 7977 T(x,K(y,x / z)) = T(x,K(y,z)). [para(63(a,1),7976(a,1,2,2)),flip(a)]. 7978 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(7977(a,1),5466(a,2,1,1))]. 7979 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7133(a,1),7936(a,1,1))]. 7981 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(6367(a,2),7948(a,1))]. 7984 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(5291(a,2),7979(a,1))]. 7986 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(6827(a,1),6326(a,1,2,2))]. 7987 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),6866(a,1,2,1))]. 7988 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(18,a,4660,a(flip),b,6919,a),flip(a)]. 7990 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5573(a,1),7988(a,1,1,2))]. 7991 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(7988(a,1),5976(a,2,2)),flip(a)]. 7992 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(7990(a,1),5411(a,1,1,1,2)),flip(a)]. 7993 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(199,a,6272,a(flip),b,6925,a)]. 7994 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(4738(a,1),7993(a,1,2,1,2))]. 7995 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(5950(a,1),7993(a,1,2,1))]. 7996 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(6504(a,1),7993(a,1,2,1)),flip(a)]. 7997 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7105(a,1),7993(a,1,2,1))]. 7999 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7312(a,1),7993(a,1,2,1)),flip(a)]. 8000 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(7994(a,1),4652(a,2,2))]. 8001 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7143(a,1),7994(a,1,2,1,2))]. 8002 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(199,a,6398,a(flip),b,7997,a(flip))]. 8003 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),7997(a,1,2)),flip(a)]. 8004 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(107(a,1),8002(a,1,2,2)),flip(a)]. 8005 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [hyper(199,a,4652,a,b,8000,a)]. 8006 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [para(4738(a,1),8005(a,1,2,1,2))]. 8007 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7146(a,1),8005(a,1,2,1))]. 8008 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [para(7250(a,1),8005(a,1,2,1)),flip(a)]. 8010 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(199,a,6138,a(flip),b,8008,a(flip))]. 8011 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8010(a,1),5302(a,1,2,1))]. 8012 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(6943(a,1),6562(a,1,3,2))]. 8013 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(6956(a,1),622(a,1,2))]. 8014 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(4498,a,6979,a)]. 8015 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(199,a,6387,a(flip),b,8014,a(flip)),flip(a)]. 8016 K(x,y \ (T(x,z) \ u)) != w | K(x,(T(x,z) * y) \ u) = w. [para(8014(a,1),6551(a,1))]. 8017 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(40(a,1),8015(a,1,2))]. 8018 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(4498,a,6988,a)]. 8020 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(6550,a,8018,a)]. 8021 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(47(a,1),8018(a,1,3))]. 8022 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(199,a,6400,a(flip),b,8021,a(flip)),flip(a)]. 8023 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(199,a,6368,a(flip),b,8021,a(flip))]. 8024 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(6989(a,1),915(a,1,1,2))]. 8025 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [hyper(7957,a,7062,a)]. 8026 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(107(a,1),8025(a,1,2)),flip(a)]. 8027 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(6871,a,8026,a)]. 8028 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(199,a,7703,a(flip),b,8026,a)]. 8029 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8026(a,1),4608(a,1,1,1))]. 8030 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [hyper(199,a,7703,a(flip),b,8027,a)]. 8031 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [hyper(199,a,7701,a(flip),b,8027,a)]. 8032 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8027(a,2),7687(a,1,2))]. 8033 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2681(a,1),8028(a,1,2,1)),flip(a)]. 8034 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(199,a,7546,a,b,8030,a(flip)),flip(a)]. 8035 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(13(a,1),8031(a,1,2,1)),flip(a)]. 8036 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(32(a,2),8031(a,1,2,1))]. 8037 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. [para(8032(a,2),7781(a,1))]. 8038 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(6854,a,8036,a),flip(a)]. 8039 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(94(a,2),8038(a,1,2))]. 8040 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7270(a,1),7110(a,1,1,1,2))]. 8041 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7715(a,1),7120(a,1,1))]. 8042 T(x,y) / T(T(y,x),z) = x / T(y,T(z,x)). [hyper(5971,a,7157,a),flip(a)]. 8043 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(199,a,7251,a(flip),b,7161,a(flip))]. 8044 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(47(a,1),8043(a,1,1,2,2))]. 8045 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2811(a,1),7254(a,1,2,2))]. 8046 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(199,a,4444,a,b,7344,a(flip)),flip(a)]. 8047 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),7357(a,2,2))]. 8048 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | K(x,u) = w. [para(7365(a,1),254(a,1,2)),flip(b)]. 8049 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),7436(a,1,1,1,1,2))]. 8050 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4425(a,1),7436(a,1,1))]. 8051 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(199,a,4423,a(flip),b,7439,a(flip))]. 8052 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,7444,a)]. 8053 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(13(a,1),7444(a,2,2,1,2))]. 8054 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(7444(a,1),6245(a,1,1))]. 8055 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7473(a,1),5044(a,1,2))]. 8056 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(199,a,7999,a(flip),b,7475,a(flip))]. 8058 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(4896(a,1),8056(a,1,2,2)),flip(a)]. 8060 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8056(a,1),7084(a,2,1))]. 8061 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(7106(a,1),8056(a,1,2,2))]. 8062 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(5950(a,1),8061(a,1,2,2))]. 8063 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(6504(a,1),8061(a,1,2,2)),flip(a)]. 8064 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(199,a,7692,a(flip),b,7492,a(flip))]. 8065 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(199,a,3192,a,b,7496,a)]. 8066 T(x * K(y,x),T(z,T(x,u))) != w | T(x * K(y,x),z) = w. [para(7510(a,1),7595(a,1))]. 8067 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(199,a,5526,a(flip),b,7540,a(flip))]. 8068 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(7568(a,1),5980(a,1,1,1))]. 8069 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(199,a,7500,a(flip),b,7570,a)]. 8070 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(5943(a,1),8069(a,1,2,1)),flip(a)]. 8071 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4288(a,1),7575(a,1,1))]. 8072 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(85(a,1),7586(a,1,2,2,1))]. 8073 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(4632(a,1),7588(a,1,2,1,1)),flip(a)]. 8074 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(4781,a,7589,a),flip(a)]. 8075 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(199,a,6141,a,b,8074,a(flip)),flip(a)]. 8076 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [para(4775(a,1),8075(a,1,2))]. 8077 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8075(a,1),7973(a,1,2))]. 8078 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(5373,a,8076,a)]. 8080 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(199,a,8007,a(flip),b,7623,a(flip)),flip(a)]. 8082 T(x,y \ T(x,z)) = T(x,y \ x). [para(4618(a,1),8080(a,1,2,2)),flip(a)]. 8083 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5123(a,1),8080(a,1,2,2))]. 8084 T(x,T(x,y) / z) = T(x,z \ x). [hyper(7076,a,8082,a)]. 8085 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(199,a,4652,a,b,7657,a)]. 8086 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),8085(a,1,2,1,1)),flip(a)]. 8087 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4770(a,1),8086(a,1,2)),flip(a)]. 8088 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(199,a,8076,a(flip),b,8087,a)]. 8089 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(63(a,1),8088(a,2,2,2))]. 8091 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8089(a,1),7224(a,1,1)),flip(a)]. 8092 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6142(a,1),7664(a,1,1)),flip(a)]. 8093 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(199,a,7624,a,b,7667,a),flip(a)]. 8094 K(T(x * y,y) / x,z) = K(y,z). [hyper(7370,a,8093,a),flip(a)]. 8096 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),8094(a,1,1,1,1))]. 8097 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4830(a,1),7677(a,1,1,2))]. 8098 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(199,a,4780,a,b,7681,a)]. 8099 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(13(a,1),8098(a,1,2,2,1)),flip(a)]. 8100 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1002(a,1),8098(a,1,2,2,1)),flip(a)]. 8101 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(199,a,8035,a(flip),b,8099,a(flip)),flip(a)]. 8102 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(199,a,6138,a(flip),b,8101,a(flip))]. 8103 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7686(a,1),4967(a,1,2))]. 8104 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(13(a,1),7698(a,1,1,2)),flip(a)]. 8105 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(7709(a,1),5900(a,1,2)),flip(a)]. 8106 T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. [para(7718(a,2),7736(a,1))]. 8107 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6215(a,1),7745(a,1,1)),flip(a)]. 8108 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(5633(a,1),7756(a,1,1)),flip(a)]. 8109 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(199,a,7712,a(flip),b,7777,a)]. 8110 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5275(a,1),8109(a,1,2))]. 8111 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4041(a,1),7789(a,1,2,2,2))]. 8112 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(7815(a,1),7790(a,1,1))]. 8113 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(7305(a,1),7792(a,1,2,2)),flip(a)]. 8114 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5340(a,1),7861(a,2,2))]. 8115 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7848(a,1),7870(a,1,1))]. 8116 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(7857(a,1),7870(a,1,1))]. 8117 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(7858(a,1),7870(a,1,1))]. 8118 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). [para(8115(a,1),92(a,1,2))]. 8119 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(199,a,8108,a(flip),b,8116,a(flip)),flip(a)]. 8120 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(199,a,8116,a(flip),b,8117,a(flip)),flip(a)]. 8121 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(199,a,8115,a(flip),b,8117,a(flip))]. 8122 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8117(a,1),92(a,1,2))]. 8124 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(199,a,7732,a,b,8119,a)]. 8125 K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,z,u))). [hyper(199,a,7716,a,b,8120,a),flip(a)]. 8126 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(198(a,1),8120(a,2,2,2))]. 8127 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(8120(a,1),7739(a,1))]. 8128 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8120(a,2),7739(a,1))]. 8129 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(7869,a,8121,a)]. 8130 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(4862,a,8124,a)]. 8132 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8124(a,2),7739(a,1))]. 8133 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(199,a,8121,a,b,8130,a)]. 8134 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(5974(a,1),8130(a,1,2)),flip(a)]. 8135 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [para(5633(a,2),8133(a,1,2))]. 8136 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6387(a,1),8133(a,1,2)),flip(a)]. 8137 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7923(a,1),5923(a,1,2))]. 8138 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(7924(a,1),4824(a,1,2))]. 8139 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(7924(a,2),7735(a,2,1))]. 8140 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(199,a,6809,a(flip),b,7931,a)]. 8142 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7143(a,1),8140(a,1,1,1,2))]. 8143 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7312(a,1),8140(a,1,1,1)),flip(a)]. 8144 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(199,a,7470,a(flip),b,8143,a(flip)),flip(a)]. 8146 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(4738(a,1),8144(a,1,1,2,1))]. 8147 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(4764(a,1),8144(a,1,1,2)),flip(a)]. 8148 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4896(a,1),8144(a,1,1,2)),flip(a)]. 8149 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5480(a,1),8144(a,1,1,2))]. 8151 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7143(a,1),8144(a,1,1,2,1))]. 8152 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7106(a,1),8144(a,1,1,2))]. 8153 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5247(a,1),8146(a,1,1,2))]. 8154 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(157(a,1),8149(a,1,1)),flip(a)]. 8155 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [hyper(199,a,6520,a,b,7995,a),flip(a)]. 8156 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7995(a,1),5009(a,1,2,2))]. 8157 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7995(a,1),6396(a,1,1))]. 8158 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(221(a,1),7996(a,1,2,1,1))]. 8159 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(199,a,6536,a(flip),b,8004,a(flip))]. 8160 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(199,a,8148,a(flip),b,8020,a)]. 8162 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8160(a,1),7716(a,2,2))]. 8163 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(17,a,5265,a,b,8041,a)]. 8164 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5266,a,8163,a)]. 8165 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7715(a,1),8164(a,1,1))]. 8166 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8165(a,1),6863(a,1,2))]. 8167 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(107(a,1),8166(a,1,2,2)),flip(a)]. 8168 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(4708,a,8046,a)]. 8169 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5454(a,1),8168(a,1,2,1)),flip(a)]. 8170 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),8047(a,1,2,1,2)),flip(a)]. 8171 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(199,a,6588,a(flip),b,8050,a(flip)),flip(a)]. 8172 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(13(a,1),8051(a,2,2,2,1))]. 8173 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(8051(a,1),19(a,1))]. 8174 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(199,a,7084,a,b,8060,a)]. 8175 K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). [para(4738(a,1),8063(a,1,2,2,1,2))]. 8176 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(199,a,7061,a,b,8070,a(flip)),flip(a)]. 8177 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8083(a,1),4608(a,1,1,1))]. 8178 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4109(a,2),8097(a,1,1,2))]. 8179 L(K(x,((y \ 1) \ (y \ z)) \ u),u,y \ K(y,y \ z)) = K(x,(z / y) \ ((y \ K(y,y \ z)) * u)). [para(8097(a,1),6397(a,1,1,2,1))]. 8180 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1567(a,1),8104(a,1,2)),flip(a)]. 8181 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1696(a,1),8104(a,1,2)),flip(a)]. 8182 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5385(a,1),8107(a,1,1))]. 8183 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(8106,a,8110,a(flip)),flip(a)]. 8184 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6228(a,1),8183(a,1,2))]. 8185 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8184(a,1),7908(a,1,2))]. 8186 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(198(a,1),8129(a,1,2,2)),flip(a)]. 8187 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [hyper(199,a,8130,a,b,8135,a)]. 8188 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(8147(a,1),5415(a,1,1,1,2))]. 8189 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4622(a,1),8151(a,1,1,2)),flip(a)]. 8190 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(4945,a,8170,a)]. 8191 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),8171(a,1,2,1,2)),flip(a)]. 8192 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8171(a,1),6232(a,1,1,2))]. 8193 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4660(a,2),8174(a,1,2,1,2))]. 8194 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7194(a,1),8174(a,1,2,1,2))]. 8195 K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). [para(6188(a,1),8175(a,1,2,2,1))]. 8196 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [hyper(5188,a,8187,a)]. 8197 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(199,a,7387,a,b,8189,a(flip)),flip(a)]. 8198 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(199,a,7995,a(flip),b,8191,a(flip)),flip(a)]. 8199 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(199,a,6186,a(flip),b,8197,a)]. 8200 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13(a,1),8199(a,1,1,1)),flip(a)]. 8201 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(199,a,5164,a(flip),b,8200,a(flip)),flip(a)]. 8202 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(7411,a,8201,a)]. 8203 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(12(a,1),8198(a,2,2,1))]. 8204 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(13(a,1),8198(a,1,2,1,2)),flip(a)]. 8205 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(16(a,1),8203(a,1,2,1)),flip(a)]. 8206 L(K(x,y \ (x \ (z \ u))),z \ u,z) != w | K(x,(z * (y / (x \ 1))) \ u) = w. [para(8205(a,1),6551(a,1,1))]. 8208 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(6926(a,1),6912(a,1,2))]. 8209 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(199,a,5156,a(flip),b,8208,a(flip))]. 8210 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(341,a,8209,a)]. 8211 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6210(a,1),8210(a,1,1))]. 8212 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(69,a,8211,a(flip),b,6651,a(flip))]. 8213 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1203(a,1),7086(a,1,2)),flip(a)]. 8214 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(7424,a,8002,a),flip(a)]. 8215 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8002(a,1),7424(a,1))]. 8216 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(185(a,1),8214(a,1,2,1))]. 8217 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(3905(a,1),8214(a,1,2,1)),flip(a)]. 8218 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(3984(a,2),8216(a,1,2,1)),flip(a)]. 8220 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(199,a,7191,a(flip),b,7431,a)]. 8221 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4786(a,1),8220(a,1,2,2))]. 8222 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(199,a,4829,a(flip),b,7560,a)]. 8224 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(7594,a,8082,a),flip(a)]. 8225 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8224(a,1),5562(a,1,1))]. 8226 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(7610,a,7915,a)]. 8227 K(x,T(y * z,y)) != u | K(x,T(y * z,z)) = u. [para(7915(a,1),7610(a,1))]. 8228 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(8127,a,8136,a)]. 8229 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(8115(a,2),8127(a,1))]. 8230 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8116(a,2),8127(a,1))]. 8231 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(4738(a,1),8128(a,1,2))]. 8232 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8130(a,2),8128(a,1))]. 8233 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8133(a,2),8128(a,1))]. 8234 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(68,a,8137,a(flip),b,4908,a),flip(a)]. 8235 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8137(a,1),28(a,2,2,2)),flip(a)]. 8236 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(68,a,8138,a(flip),b,4908,a),flip(a)]. 8237 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(68,a,8138,a(flip),b,4626,a),flip(a)]. 8238 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8138(a,1),4754(a,1,1)),flip(a)]. 8239 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7371,a,8190,a)]. 8240 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(4498,a,6980,a)]. 8241 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(6980(a,1),6232(a,1,1))]. 8242 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(6980(a,1),6245(a,1,1))]. 8243 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(199,a,6381,a(flip),b,8240,a(flip)),flip(a)]. 8244 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(199,a,6494,a(flip),b,7015,a(flip)),flip(a)]. 8245 K(K(x \ y,x) * z,y) = K(z,y). [hyper(7614,a,8244,a),flip(a)]. 8248 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(8245(a,1),4652(a,2,2)),flip(a)]. 8249 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(199,a,7206,a(flip),b,7214,a)]. 8250 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7214(a,2),7417(a,1))]. 8252 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(14(a,1),8249(a,1,2)),flip(a)]. 8253 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [para(166(a,1),8249(a,1,2))]. 8254 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(199,a,5835,a(flip),b,8253,a(flip)),flip(a)]. 8255 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),8253(a,1,2))]. 8256 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(199,a,5729,a,b,8252,a(flip)),flip(a)]. 8257 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(47(a,1),8252(a,1,2,2,1))]. 8258 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3587(a,1),8255(a,2,2))]. 8260 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(4738(a,1),8256(a,1,2,1))]. 8261 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(199,a,293,a(flip),b,8257,a)]. 8262 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(199,a,7084,a(flip),b,8261,a)]. 8263 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(104(a,1),8250(a,1,2,1))]. 8264 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(199,a,7204,a(flip),b,7217,a)]. 8265 L(K(x,y),z * T(y,u),w) != v5 | K(x,L(y,z,w)) = v5. [para(7217(a,2),7415(a,1))]. 8267 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(199,a,6390,a(flip),b,8264,a(flip)),flip(a)]. 8268 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(105(a,1),8264(a,1,2))]. 8269 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(153(a,1),8264(a,1,2))]. 8270 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(152(a,1),8264(a,1,2)),flip(a)]. 8271 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(199,a,6381,a(flip),b,8268,a(flip)),flip(a)]. 8272 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(199,a,6368,a(flip),b,8268,a(flip))]. 8273 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8268(a,1),92(a,1,2))]. 8274 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(4626(a,1),8268(a,1,2))]. 8276 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7105(a,1),8267(a,1,2,2))]. 8277 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(8269(a,1),8130(a,1,2)),flip(a)]. 8278 L(K(x,y),z * y,u) != w | K(x,L(y,z,u)) = w. [para(104(a,1),8265(a,1,2,2))]. 8280 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(199,a,8151,a(flip),b,7240,a(flip)),flip(a)]. 8281 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(7122,a,8280,a),flip(a)]. 8283 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(8281(a,1),6232(a,1,1,2)),flip(a)]. 8284 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(199,a,6232,a(flip),b,8283,a)]. 8285 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(7155(a,1),8284(a,1,2,1))]. 8286 K(x,(y * T(x,z)) / u) != w | K(x,y / (x \ u)) = w. [para(8285(a,2),7953(a,1))]. 8287 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(199,a,8142,a(flip),b,7325,a(flip)),flip(a)]. 8288 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(7197,a,8287,a),flip(a)]. 8290 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(6504(a,1),8288(a,1,1,2)),flip(a)]. 8291 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7146(a,1),8290(a,1,1,2,1))]. 8292 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7250(a,1),8290(a,1,1,2,1)),flip(a)]. 8293 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(429(a,1),8291(a,1,1))]. 8294 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(199,a,7987,a(flip),b,7333,a)]. 8296 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4624(a,1),7340(a,1,1,1,2))]. 8297 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(3900(a,1),7342(a,1,2,1))]. 8298 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(199,a,5835,a(flip),b,7359,a(flip))]. 8299 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [hyper(67,a,8298,a,b,5036,a),flip(a)]. 8300 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5008(a,1),7438(a,1,2))]. 8301 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(4509,a,7453,a)]. 8302 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4622(a,1),7453(a,1,1)),flip(a)]. 8303 (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(7453(a,1),4906(a,1,1,2))]. 8304 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(199,a,5835,a(flip),b,8301,a(flip)),flip(a)]. 8305 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(199,a,5715,a(flip),b,8301,a(flip)),flip(a)]. 8306 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(8304(a,1),4660(a,2,1)),flip(a)]. 8307 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(8304(a,1),5119(a,1,1,1)),flip(a)]. 8308 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(4509,a,7454,a)]. 8309 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(199,a,5835,a(flip),b,8308,a(flip)),flip(a)]. 8310 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(7416,a,8309,a),flip(a)]. 8311 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(7377,a,8310,a),flip(a)]. 8313 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(8311(a,1),4620(a,2,1,1))]. 8314 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(199,a,4620,a,b,8313,a)]. 8315 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(199,a,7551,a(flip),b,7490,a(flip))]. 8316 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(199,a,7361,a(flip),b,8315,a)]. 8317 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),8316(a,1,1,2)),flip(a)]. 8318 K(x * R(y,z,y),y) = K(y * x,y). [hyper(199,a,6858,a(flip),b,8317,a(flip)),flip(a)]. 8319 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(8318(a,1),4780(a,2,2,2))]. 8320 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(199,a,4780,a,b,8319,a)]. 8321 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(199,a,4652,a(flip),b,8320,a)]. 8322 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4708,a,8321,a)]. 8323 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(199,a,6864,a,b,8322,a(flip)),flip(a)]. 8324 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(199,a,7008,a,b,8323,a(flip)),flip(a)]. 8325 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(7143(a,1),7504(a,1,1)),flip(a)]. 8326 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(8325(a,1),4491(a,1,2,2)),flip(a)]. 8327 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(8325(a,1),5342(a,1,1))]. 8329 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(199,a,7500,a,b,7515,a),flip(a)]. 8330 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(199,a,4652,a,b,7522,a)]. 8331 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(5284,a,8330,a)]. 8332 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(8330(a,1),6897(a,1))]. 8333 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5238(a,1),8331(a,1,2))]. 8334 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(199,a,7500,a(flip),b,7569,a(flip))]. 8335 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(199,a,8298,a(flip),b,7649,a)]. 8336 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(102(a,1),8335(a,1,1)),flip(a)]. 8337 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7143(a,1),7650(a,1,1)),flip(a)]. 8338 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(122(a,1),8337(a,1,1,2)),flip(a)]. 8339 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(181(a,1),8337(a,1,1,2))]. 8341 K(L(x,y,z),x * y) = K(x,x * y). [hyper(7397,a,8338,a),flip(a)]. 8342 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(6475,a,8338,a),flip(a)]. 8343 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4598(a,2),8338(a,1,2)),flip(a)]. 8344 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(7143(a,1),8338(a,1,1))]. 8345 K(L(x,x \ 1,y),z) = K(x,z). [hyper(199,a,281,a(flip),b,8339,a)]. 8346 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(7414,a,8345,a),flip(a)]. 8347 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(8346(a,1),7377(a,1))]. 8348 L(K(x,y),K(z,x),u) = K(x,y). [hyper(8347,a,8343,a),flip(a)]. 8349 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(8348(a,1),92(a,1,2))]. 8350 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(8348(a,1),397(a,1,2,1))]. 8351 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6243,a,8349,a)]. 8352 R(x,K(y,z),K(z,u)) = x. [hyper(427,a,8349,a)]. 8353 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(199,a,6508,a,b,8349,a(flip)),flip(a)]. 8354 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(199,a,6437,a(flip),b,8349,a(flip))]. 8355 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1914(a,2),8349(a,2,2))]. 8356 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(199,a,6228,a(flip),b,8352,a)]. 8357 R(x,T(K(y,z),u),K(z,w)) = x. [para(1818(a,1),8352(a,1,2))]. 8358 (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(8352(a,1),2547(a,1,1,1))]. 8359 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(5573(a,1),8352(a,1,3))]. 8360 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5594(a,1),8352(a,1,2))]. 8361 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(5706(a,1),8352(a,1,3))]. 8362 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5392(a,1),8357(a,1,3))]. 8363 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(8360(a,1),461(a,1,1))]. 8364 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(8362(a,1),798(a,1,1)),flip(a)]. 8365 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(8362(a,1),6606(a,1)),flip(a)]. 8366 R(T(x / K(y,z),u),K(w,v5),K(v5,v6)) = T(x * K(z,y),u). [para(8356(a,1),42(a,2,1))]. 8367 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5199(a,1),8356(a,1,1))]. 8369 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1914(a,2),8351(a,1,1,2))]. 8370 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(1914(a,2),8353(a,2,2))]. 8371 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(154,a,8355,a,b,526,a)]. 8373 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6218(a,1),8355(a,1,1)),flip(a)]. 8374 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,8351,a,b,8369,a(flip)),flip(a)]. 8375 R(x,K(y,z),K(u,y)) = x. [hyper(427,a,8370,a)]. 8376 L(K(x,y),K(y,z),u) = K(x,y). [hyper(391,a,8370,a)]. 8377 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6215(a,1),8370(a,1,1)),flip(a)]. 8378 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(8375(a,1),1093(a,1,2,2)),flip(a)]. 8379 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(8376(a,1),398(a,1,2,1))]. 8380 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(7143(a,1),8376(a,1,2))]. 8381 (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. [para(8380(a,1),218(a,1,2))]. 8382 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(268,a,8374,a),flip(a)]. 8383 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(8377(a,1),4770(a,1,1,1))]. 8384 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(1914(a,1),8382(a,1,2))]. 8385 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5460(a,1),8354(a,1,2)),flip(a)]. 8386 x * (R(x,y,x) \ z) = z * (x \ L(x,y,x)). [hyper(199,a,7489,a(flip),b,8385,a(flip)),flip(a)]. 8387 x / R(x,y,x) = x \ L(x,y,x). [hyper(66,a,1682,a(flip),b,8385,a(flip)),flip(a)]. 8388 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8387(a,1),2777(a,1,1,2,1))]. 8389 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [hyper(68,a,4628,a(flip),b,8386,a)]. 8390 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7682(a,1),8389(a,1,2)),flip(a)]. 8391 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(199,a,7051,a,b,8390,a(flip)),flip(a)]. 8392 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(8391(a,1),7231(a,1,1,2,1))]. 8393 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [hyper(199,a,7117,a,b,7661,a(flip)),flip(a)]. 8394 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(17,a,7258,a,b,7670,a),flip(a)]. 8395 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(14(a,1),8394(a,1,2,2,2)),flip(a)]. 8396 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(16(a,1),7746(a,1,2,1))]. 8397 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5586(a,1),7751(a,1,1)),flip(a)]. 8398 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7717(a,1),7752(a,1,1))]. 8399 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7733(a,1),7759(a,2,2))]. 8400 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5586(a,1),7762(a,1,2)),flip(a)]. 8401 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(199,a,8397,a,b,8400,a(flip)),flip(a)]. 8402 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7732(a,1),8401(a,1,1))]. 8403 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(199,a,7724,a(flip),b,7784,a(flip))]. 8404 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8403(a,1,2,2)),flip(a)]. 8405 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(199,a,7716,a,b,7788,a)]. 8406 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(7742,a,7803,a),flip(a)]. 8407 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(5888,a,8406,a),flip(a)]. 8408 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(5594(a,1),8406(a,2,2))]. 8409 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(8406(a,2),6232(a,1,1))]. 8410 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7737(a,1),8407(a,1,1)),flip(a)]. 8411 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6215(a,1),8409(a,1,1,1))]. 8412 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(8411(a,1),14(a,1,2)),flip(a)]. 8413 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(199,a,7906,a(flip),b,8412,a)]. 8414 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(8413(a,2),19(a,1))]. 8415 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(7910(a,2),7132(a,1))]. 8416 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4416(a,2),7927(a,1,2))]. 8417 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(5997(a,2),7935(a,2,2,2)),flip(a)]. 8418 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),8049(a,1,1,1,1)),flip(a)]. 8419 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(8105(a,1),409(a,1,1,1))]. 8420 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(199,a,7716,a(flip),b,8162,a)]. 8421 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(199,a,7141,a,b,8194,a)]. 8422 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(199,a,8193,a(flip),b,8194,a)]. 8424 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(6457,a,8241,a)]. 8425 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(8278,a,8424,a)]. 8426 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(199,a,8338,a(flip),b,8424,a(flip)),flip(a)]. 8427 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(3921(a,1),8426(a,1,1))]. 8428 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6007,a,8248,a),flip(a)]. 8429 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4919(a,1),8428(a,2,1))]. 8430 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(199,a,8276,a(flip),b,8274,a)]. 8432 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(8271(a,1),8430(a,1,1))]. 8433 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(416(a,1),8277(a,1,2,2)),flip(a)]. 8434 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8296(a,1),16(a,1,1))]. 8435 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(4914,a,8299,a),flip(a)]. 8436 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(32(a,2),8300(a,1,2,2)),flip(a)]. 8437 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1680(a,2),8302(a,1,2))]. 8438 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(199,a,7408,a(flip),b,8305,a)]. 8439 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(199,a,42,a,b,8306,a)]. 8440 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8344(a,2),7414(a,1))]. 8441 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(104(a,1),8440(a,1,2,1))]. 8442 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(166(a,1),8440(a,1,2))]. 8444 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(6387(a,1),8441(a,1))]. 8445 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(7006(a,2),8442(a,1))]. 8446 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(199,a,6429,a(flip),b,8373,a)]. 8447 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(199,a,7851,a(flip),b,8398,a)]. 8448 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8398(a,2),5272(a,1,1))]. 8449 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7850(a,1),8447(a,1,1))]. 8450 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7851(a,1),8447(a,1,1))]. 8451 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(199,a,8401,a(flip),b,8449,a(flip)),flip(a)]. 8452 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(199,a,8402,a(flip),b,8450,a(flip)),flip(a)]. 8453 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(5803(a,1),8451(a,1,2)),flip(a)]. 8454 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3849(a,1),8452(a,1,2)),flip(a)]. 8455 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(8405(a,1),6217(a,1,1))]. 8456 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8434(a,1),5012(a,1,2))]. 8458 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(68,a,8439,a(flip),b,4016,a),flip(a)]. 8459 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(8439(a,1),7028(a,1,1,2)),flip(a)]. 8460 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5450(a,1),8456(a,1,2,1,2,2)),flip(a)]. 8461 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(8292(a,1),8456(a,1,2,1,2,2)),flip(a)]. 8462 K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,x * y) = z. [para(4109(a,1),6847(a,1))]. 8463 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(199,a,464,a(flip),b,6913,a(flip))]. 8464 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(8463(a,2),5869(a,1,2))]. 8465 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(60(a,1),7072(a,1,2,1,1))]. 8466 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7084(a,2),7088(a,1,1))]. 8467 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7105(a,1),7111(a,1,1,2)),flip(a)]. 8468 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(7774(a,1),7223(a,1,1)),flip(a)]. 8469 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(199,a,5136,a(flip),b,8468,a)]. 8471 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(199,a,6896,a(flip),b,8469,a(flip)),flip(a)]. 8473 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(107(a,1),8471(a,1,2)),flip(a)]. 8475 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7275(a,1),7284(a,2,2))]. 8476 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(199,a,5371,a(flip),b,8475,a)]. 8478 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(7338,a,5268,a),flip(a)]. 8479 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5037,a,8478,a)]. 8480 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4624(a,1),8479(a,1,2,1))]. 8481 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6138(a,1),8480(a,1,2)),flip(a)]. 8482 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(5277(a,1),7483(a,1,2,1))]. 8483 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(199,a,7141,a(flip),b,7647,a)]. 8484 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. [para(7651(a,1),7413(a,1))]. 8485 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7715(a,1),7984(a,1,1))]. 8486 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(7732(a,1),7984(a,1,1))]. 8487 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(536(a,1),8003(a,1,2))]. 8488 K(x,a(K(x,y),z,u)) = 1. [hyper(199,a,5396,a(flip),b,8487,a(flip))]. 8489 K(a(K(x,y),z,u),x) = 1. [hyper(4862,a,8488,a)]. 8491 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,8488,a)]. 8492 K(x,K(a(K(y,z),u,w),y)) * v5 != v6 | v5 = v6. [para(8489(a,2),136(a,1,1,2))]. 8493 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(8491(a,1),105(a,1,2))]. 8494 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8491(a,1),7146(a,1,2,1)),flip(a)]. 8495 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [hyper(8492,a,7760,a),flip(a)]. 8497 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(8016,a,8058,a)]. 8498 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(199,a,4363,a(flip),b,8033,a)]. 8499 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5215(a,1),8045(a,1,2))]. 8500 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(6588(a,1),8054(a,1))]. 8501 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. [para(8118(a,1),7743(a,1))]. 8502 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(199,a,8228,a(flip),b,8126,a(flip)),flip(a)]. 8503 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8154(a,1),7717(a,1,1)),flip(a)]. 8504 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(8234(a,1),5034(a,1,2))]. 8505 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(8237(a,1),1915(a,1))]. 8506 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(85(a,1),8273(a,2,2))]. 8507 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(6987(a,1),8273(a,2,2))]. 8508 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(8506(a,1),19(a,1)),flip(a)]. 8509 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(8506(a,1),7572(a,1,2,2)),flip(a)]. 8510 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(8506(a,1),8006(a,1,2,1)),flip(a)]. 8511 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(8506(a,1),8061(a,1,2,2)),flip(a)]. 8512 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(8506(a,1),8140(a,1,1,1)),flip(a)]. 8513 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(8506(a,1),8152(a,1,1,2)),flip(a)]. 8514 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(199,a,5627,a(flip),b,8512,a)]. 8515 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(394(a,1),8513(a,2,1))]. 8516 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(7168,a,8336,a)]. 8517 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(394(a,1),8342(a,2,2))]. 8518 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6028,a,8466,a)]. 8519 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(199,a,8304,a(flip),b,8483,a(flip)),flip(a)]. 8521 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),8519(a,1,2,2)),flip(a)]. 8522 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(199,a,8167,a(flip),b,8521,a(flip)),flip(a)]. 8524 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),8522(a,1,2,2)),flip(a)]. 8525 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(126(a,1),8522(a,1,2,2)),flip(a)]. 8526 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(7233,a,8524,a),flip(a)]. 8527 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(199,a,7713,a,b,8524,a)]. 8529 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(199,a,8072,a,b,8525,a(flip)),flip(a)]. 8530 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(107(a,1),8529(a,1,2)),flip(a)]. 8531 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7781,a,8527,a)]. 8532 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(8527(a,2),7719(a,1))]. 8533 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),8531(a,1,2,2)),flip(a)]. 8534 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(101(a,1),8531(a,1,2,2))]. 8535 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(7877,a,8533,a)]. 8536 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(63(a,1),8535(a,1,2,2)),flip(a)]. 8537 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7903,a,8536,a),flip(a)]. 8538 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7739,a,8534,a)]. 8539 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(8538(a,1),7731(a,1,1))]. 8540 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(7797,a,8539,a),flip(a)]. 8541 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),8540(a,1,2,2,1)),flip(a)]. 8542 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7633,a,8541,a),flip(a)]. 8543 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(14(a,1),8498(a,1,2,2)),flip(a)]. 8544 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7131,a,8499,a)]. 8545 (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(4425(a,2),8507(a,2,2))]. 8546 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(199,a,7245,a(flip),b,8516,a),flip(a)]. 8547 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(63(a,1),8546(a,1,1,1)),flip(a)]. 8548 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),8547(a,1,1,2)),flip(a)]. 8550 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(6808(a,1),8548(a,1,1))]. 8551 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(8548(a,1),8263(a,1))]. 8552 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4953(a,1),6842(a,1,2))]. 8553 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4953(a,1),8552(a,2,2))]. 8554 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(8553(a,1),387(a,1,2)),flip(a)]. 8555 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3935(a,1),8554(a,1,2,1))]. 8556 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3935(a,1),8555(a,2,2,2))]. 8557 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8556(a,1),3959(a,1,1))]. 8558 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(6920(a,1),5360(a,1))]. 8559 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(199,a,365,a(flip),b,6923,a)]. 8560 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(199,a,5486,a(flip),b,6959,a)]. 8561 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(68,a,8560,a(flip),b,4626,a)]. 8562 T(x * (y / x),z) * K(x,u) = x * (T(y,z) / T(x,u)). [para(6235(a,1),6969(a,2,2))]. 8563 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(199,a,5413,a(flip),b,7014,a)]. 8564 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(407(a,1),8563(a,1,1)),flip(a)]. 8565 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(199,a,5179,a(flip),b,8564,a(flip))]. 8566 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7121(a,2),7937(a,1))]. 8567 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(199,a,7141,a(flip),b,7175,a)]. 8568 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7175(a,2),7382(a,1))]. 8569 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7141(a,1),7200(a,1,1,2))]. 8570 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(4454,a,7228,a)]. 8571 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(8570(a,1),671(a,1,1)),flip(a)]. 8572 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7229(a,2),6158(a,1))]. 8573 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(199,a,6283,a(flip),b,7257,a(flip))]. 8574 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6196,a,7285,a)]. 8575 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(7169(a,1),7324(a,1,1)),flip(a)]. 8576 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(8575(a,1),521(a,1))]. 8577 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(8576,a,5699,a),flip(a)]. 8578 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(4791(a,1),8577(a,1,2))]. 8579 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5444(a,1),8578(a,2,2))]. 8580 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(7384,a,7335,a)]. 8581 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(5967(a,2),8580(a,1,2,1))]. 8582 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(7907,a,7372,a)]. 8583 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(7331,a,8582,a),flip(a)]. 8584 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8250,a,7516,a),flip(a)]. 8586 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7105(a,1),8584(a,1,2,2))]. 8587 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8586(a,1),6232(a,1,1,2)),flip(a)]. 8588 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(199,a,6232,a(flip),b,8587,a)]. 8589 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(199,a,5838,a(flip),b,8588,a(flip)),flip(a)]. 8590 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(4738(a,1),8588(a,1,1,2,1))]. 8592 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(199,a,5836,a(flip),b,8589,a)]. 8593 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4680(a,1),8592(a,1,2))]. 8594 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8593(a,1),5811(a,1,1))]. 8595 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(8594(a,1),20(a,1)),flip(a)]. 8596 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(4832(a,1),7636(a,1,2,2))]. 8598 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(6181,a,7688,a)]. 8599 K(x,y / (y * z)) = K(x,y \ (z \ y)). [hyper(6209,a,8598,a)]. 8600 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(199,a,8062,a(flip),b,8598,a(flip)),flip(a)]. 8601 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(8598(a,1),7263(a,1,1,2))]. 8602 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(555(a,1),7696(a,1,1,2,1)),flip(a)]. 8603 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(8173,a,7697,a)]. 8604 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8603(a,1),6232(a,1,1,2)),flip(a)]. 8605 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(199,a,6232,a(flip),b,8604,a)]. 8606 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),8605(a,1,1,1)),flip(a)]. 8607 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(6685,a,8606,a)]. 8608 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(8606(a,1),4780(a,2,2,2)),flip(a)]. 8609 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(4781,a,8608,a),flip(a)]. 8610 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(199,a,8035,a,b,8609,a(flip)),flip(a)]. 8611 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(199,a,6728,a,b,8610,a(flip)),flip(a)]. 8612 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(199,a,6368,a(flip),b,8607,a(flip)),flip(a)]. 8613 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1195(a,1),8612(a,1,1))]. 8614 (((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(8011(a,1),5341(a,1,2,1))]. 8615 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4566(a,1),8052(a,2,1)),flip(a)]. 8616 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(7972,a,8111,a),flip(a)]. 8617 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(7630,a,8616,a),flip(a)]. 8618 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(199,a,7840,a(flip),b,8114,a)]. 8619 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(63(a,1),8618(a,1,2,2,1,2))]. 8620 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(199,a,5215,a(flip),b,8619,a(flip)),flip(a)]. 8621 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7084(a,2),8185(a,1,2))]. 8622 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(8192(a,1),6245(a,1))]. 8623 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(8622,a,8512,a),flip(a)]. 8624 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(8512(a,1),8622(a,1))]. 8625 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(62(a,1),8623(a,1,1,1)),flip(a)]. 8626 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(8623(a,1),4780(a,2,2,2)),flip(a)]. 8627 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(199,a,6029,a(flip),b,8625,a)]. 8628 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8435(a,1),8297(a,2,2))]. 8629 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(199,a,7342,a,b,8628,a),flip(a)]. 8630 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(199,a,5611,a(flip),b,8629,a(flip))]. 8631 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(3909(a,1),8630(a,1,2,1))]. 8632 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(6464(a,1),8631(a,1,2,1,1))]. 8633 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(7895,a,8333,a)]. 8634 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(107(a,1),8333(a,2,2,2))]. 8635 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(199,a,7892,a(flip),b,8634,a(flip)),flip(a)]. 8636 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(199,a,8633,a(flip),b,8635,a(flip)),flip(a)]. 8637 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(8332,a,8636,a)]. 8638 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(60(a,1),8637(a,1,2,1,2)),flip(a)]. 8639 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(199,a,5539,a(flip),b,8638,a(flip))]. 8640 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(199,a,5488,a,b,8639,a(flip)),flip(a)]. 8641 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(199,a,8239,a(flip),b,8418,a(flip))]. 8642 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4919(a,1),8429(a,1,1,1))]. 8643 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(5885,a,8642,a),flip(a)]. 8644 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(8643(a,2),399(a,2,2))]. 8645 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [hyper(199,a,6823,a(flip),b,8436,a)]. 8646 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(199,a,6522,a(flip),b,8645,a(flip)),flip(a)]. 8647 K(x,K(y \ x,y) * z) = K(x,z). [hyper(4942,a,8646,a),flip(a)]. 8650 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),8647(a,1,2,1,1))]. 8651 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5106(a,1),8647(a,1,2)),flip(a)]. 8652 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(8650(a,1),4625(a,1,1,2))]. 8653 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(8652(a,1),5954(a,1,2)),flip(a)]. 8654 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(7844(a,1),8448(a,1,1,1)),flip(a)]. 8655 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8402(a,1),8654(a,2,1))]. 8656 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(199,a,4660,a,b,8655,a)]. 8657 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(7888,a,8656,a),flip(a)]. 8658 T(x,R(K(y,z),u,w)) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(8656(a,1),7888(a,1))]. 8659 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [para(4738(a,1),8657(a,1,2,1))]. 8660 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(199,a,8657,a(flip),b,8659,a(flip))]. 8661 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(551(a,1),8660(a,1,2,2)),flip(a)]. 8662 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(8660(a,1),8407(a,2,2))]. 8663 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(8659(a,1),8658(a,1))]. 8664 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(215,a,8464,a)]. 8665 L(K(x,y),z,x \ 1) = K(x,y). [hyper(4498,a,8664,a)]. 8667 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(8664(a,1),6232(a,1,1))]. 8668 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(199,a,3514,a(flip),b,8665,a(flip)),flip(a)]. 8669 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(5813,a,8668,a)]. 8670 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(8668(a,1),92(a,1,2))]. 8672 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4028(a,2),8669(a,1,1,1))]. 8673 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(8672(a,1),5585(a,1,1)),flip(a)]. 8674 L(K(x,y),z,y \ 1) = K(x,y). [hyper(6457,a,8667,a)]. 8676 L(K(x,y),z,y \ 1) = (x * y) / (y * x). [hyper(199,a,4593,a(flip),b,8674,a)]. 8678 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(199,a,6371,a(flip),b,8674,a(flip)),flip(a)]. 8680 L(K(x,y),z,y \ 1) != u | K(x,y) = u. [para(8676(a,2),4785(a,1))]. 8681 K(L(x,y,z \ 1),z) != u | K(x,z) = u. [para(6381(a,1),8680(a,1))]. 8682 K(((x \ 1) * y) \ z,T(x,y)) != u | K(((x \ 1) \ z) / y,x) = u. [para(7336(a,1),8681(a,1))]. 8683 R(x,y,K(x \ 1,z)) = x. [hyper(4509,a,8670,a)]. 8684 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(522,a,8670,a)]. 8687 R(x,y,K(z,x \ 1)) = x. [para(4738(a,1),8683(a,1,3))]. 8689 x \ (y * K(z,x \ 1)) = (x \ y) * K(z,x \ 1). [para(8687(a,1),421(a,1,1))]. 8690 L(x,y,K(x \ 1,z)) = x. [hyper(4498,a,8673,a)]. 8693 L(x \ 1,y,K(x,z)) = x \ 1. [para(3085(a,1),8690(a,1,3))]. 8695 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(8693(a,1),92(a,1,2))]. 8696 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(8693(a,1),776(a,1,1)),flip(a)]. 8702 R(K(x,y),z,x \ 1) = K(x,y). [hyper(4509,a,8695,a)]. 8703 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(216,a,8695,a)]. 8704 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(154,a,8695,a,b,5867,a)]. 8706 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(8263,a,8702,a)]. 8707 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(8706(a,1),4652(a,2,2))]. 8708 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(8706(a,1),5405(a,1,2)),flip(a)]. 8709 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(199,a,4652,a,b,8707,a)]. 8710 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(662(a,1),8709(a,1,2))]. 8711 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),8704(a,2,2))]. 8712 R(x,y,y \ 1) * K(y,x) = (y * x) * (y \ 1). [hyper(4803,a,8708,a),flip(a)]. 8713 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(199,a,2972,a(flip),b,8708,a)]. 8714 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [para(8712(a,1),5035(a,1,2))]. 8715 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(8714(a,1),8056(a,1,2,2)),flip(a)]. 8716 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(68,a,8713,a,b,5086,a)]. 8717 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(199,a,8480,a(flip),b,8481,a)]. 8718 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(14(a,1),8717(a,1,2,1,1)),flip(a)]. 8719 T(T(x,y \ z),K(u,y \ z)) = T(x,T((z \ y) \ 1,u)). [hyper(199,a,6877,a,b,8718,a),flip(a)]. 8720 T(x,T(L(y \ 1,y,z) \ u,w)) = T(x,T((u \ ((z * y) \ z)) \ 1,w)). [para(354(a,1),8718(a,1,2,1,1)),flip(a)]. 8721 T(x,T((y \ z) \ 1,u)) != w | T(x,T(z \ y,u)) = w. [para(8719(a,1),6898(a,1))]. 8722 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(13(a,1),8559(a,1,2,2,1,2))]. 8723 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(199,a,8573,a(flip),b,8561,a)]. 8724 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(549(a,1),8565(a,1,2)),flip(a)]. 8725 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(7350(a,1),8567(a,1,1,1,1,2))]. 8726 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(199,a,5008,a(flip),b,8571,a)]. 8727 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(8574(a,1),390(a,1,2))]. 8728 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(7514,a,8601,a),flip(a)]. 8729 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(199,a,8404,a(flip),b,8617,a(flip)),flip(a)]. 8730 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(8729(a,1),7132(a,1))]. 8731 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4781,a,8626,a),flip(a)]. 8732 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(199,a,8510,a,b,8731,a(flip)),flip(a)]. 8733 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(8732(a,1),4608(a,1,1,1))]. 8734 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(199,a,8612,a(flip),b,8678,a(flip)),flip(a)]. 8735 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5606(a,1),8722(a,1,2)),flip(a)]. 8736 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4044(a,1),8726(a,1,1))]. 8737 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7084(a,2),7090(a,1,1))]. 8738 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7084(a,2),7113(a,1,1))]. 8739 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7207(a,1),7780(a,1,2))]. 8740 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(199,a,5415,a(flip),b,7274,a)]. 8741 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(4738(a,1),8740(a,1,2,2))]. 8742 (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(8740(a,1),8178(a,1,1,2))]. 8743 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(7303(a,1),7007(a,1,2))]. 8744 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [hyper(199,a,8395,a(flip),b,8743,a(flip)),flip(a)]. 8745 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(170(a,1),8744(a,1,2,2))]. 8746 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),7307(a,1,1))]. 8747 L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). [hyper(199,a,7182,a(flip),b,7339,a)]. 8748 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(8680,a,8747,a),flip(a)]. 8749 K(x,T((y \ z) \ 1,u)) != w | K(x,T(z \ y,u)) = w. [para(8747(a,1),3860(a,1)),flip(b)]. 8750 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(5190,a,8748,a)]. 8751 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(199,a,8022,a,b,8748,a(flip)),flip(a)]. 8752 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(8750(a,2),7233(a,1))]. 8753 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(13(a,1),8752(a,1,2,1,2))]. 8754 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(7423,a,7653,a)]. 8755 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(199,a,8204,a(flip),b,7440,a)]. 8756 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(199,a,8696,a(flip),b,7450,a(flip))]. 8758 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7106(a,1),8756(a,1,3))]. 8759 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6467,a,8758,a)]. 8760 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(8759(a,1),2188(a,1,1,2))]. 8761 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(8759(a,1),2608(a,1,1))]. 8762 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(199,a,6750,a(flip),b,8760,a(flip))]. 8765 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(8762(a,1),1663(a,1,1))]. 8766 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(4864,a,7547,a),flip(a)]. 8767 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(199,a,7185,a,b,8766,a(flip)),flip(a)]. 8768 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(8767(a,1),6217(a,1,1,2)),flip(a)]. 8769 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(199,a,6012,a(flip),b,7587,a(flip))]. 8771 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(6415(a,1),8769(a,1,2,1,1))]. 8772 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(7619,a,8001,a),flip(a)]. 8773 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(7418,a,8772,a),flip(a)]. 8774 K(x,y / (z * x)) = K(x,y / (x * z)). [para(85(a,1),8773(a,1,2,2))]. 8775 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1224(a,1),8773(a,1,2,2))]. 8776 K(x,y / (z * K(x,u))) = K(x,y / z). [para(4738(a,1),8773(a,1,2,2,2))]. 8777 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(199,a,6736,a(flip),b,8774,a)]. 8778 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(199,a,6662,a(flip),b,8774,a(flip)),flip(a)]. 8779 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(102(a,2),8774(a,2,2)),flip(a)]. 8780 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(6504(a,1),8776(a,1,2,2)),flip(a)]. 8781 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),8777(a,1,2,2,1)),flip(a)]. 8782 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4088(a,1),8777(a,1,2,2,1))]. 8783 K(x,(y * z) / (z * x)) != u | K(x,R(x \ y,x,z)) = u. [para(8779(a,1),5554(a,1))]. 8784 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(85(a,1),8780(a,1,2,2,1))]. 8785 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(221(a,1),8780(a,1,2,2,1))]. 8786 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7146(a,1),8780(a,1,2,2,1))]. 8787 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7250(a,1),8780(a,1,2,2,1)),flip(a)]. 8788 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(199,a,8778,a(flip),b,8784,a(flip))]. 8789 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(429(a,1),8786(a,1,2))]. 8790 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(8788(a,1),4652(a,2,2)),flip(a)]. 8791 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(7637(a,1),597(a,1))]. 8792 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(8037,a,7783,a(flip)),flip(a)]. 8793 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(199,a,7732,a,b,8792,a)]. 8794 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1494(a,1),8792(a,1,2,2))]. 8795 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7556(a,1),8792(a,1,2)),flip(a)]. 8796 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7739,a,8793,a)]. 8797 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(105(a,1),8793(a,1,2,2,2))]. 8798 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(199,a,8583,a,b,8796,a(flip)),flip(a)]. 8799 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(8796(a,1),7866(a,1,2)),flip(a)]. 8800 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(199,a,7801,a(flip),b,8798,a(flip)),flip(a)]. 8801 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(7877,a,8800,a)]. 8802 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(8800(a,1),7713(a,1,2))]. 8803 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(199,a,8420,a,b,8801,a(flip)),flip(a)]. 8804 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(7766,a,8803,a)]. 8805 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(7141(a,1),8797(a,1,2))]. 8806 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(7719,a,8802,a),flip(a)]. 8807 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(199,a,7605,a(flip),b,8806,a(flip)),flip(a)]. 8808 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(13(a,1),8806(a,1,2,2,1)),flip(a)]. 8809 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(14(a,1),8807(a,1,2,2,2)),flip(a)]. 8810 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(24(a,2),8808(a,1,2,2)),flip(a)]. 8811 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(7363(a,1),8805(a,1,2)),flip(a)]. 8812 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [hyper(199,a,7732,a,b,8811,a)]. 8813 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [hyper(7739,a,8812,a)]. 8814 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(7172(a,1),8813(a,1,2)),flip(a)]. 8815 K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. [para(8814(a,2),7739(a,1))]. 8816 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [hyper(8815,a,8745,a),flip(a)]. 8817 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(13(a,1),8816(a,1,2,2,2)),flip(a)]. 8818 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(536(a,1),8810(a,1,2,2))]. 8819 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(7390,a,8818,a),flip(a)]. 8820 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(7388,a,8819,a)]. 8822 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(8819(a,1),4652(a,2,2))]. 8823 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(199,a,4652,a,b,8822,a)]. 8824 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(8823(a,1),8068(a,1,1,1))]. 8825 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(8794(a,2),7877(a,1))]. 8826 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(199,a,7711,a(flip),b,8799,a)]. 8827 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(7917,a,8826,a)]. 8828 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),8827(a,1,2,2)),flip(a)]. 8829 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(8828(a,1),4653(a,1,2,1))]. 8830 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(199,a,3085,a,b,8155,a)]. 8831 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(8155(a,1),6553(a,1))]. 8832 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(199,a,7236,a(flip),b,8213,a)]. 8833 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(199,a,8257,a(flip),b,8465,a(flip))]. 8834 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(199,a,5853,a,b,8467,a)]. 8835 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7103(a,1),8467(a,1,1))]. 8836 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(4127,a,8737,a),flip(a)]. 8838 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(199,a,7690,a(flip),b,8836,a(flip))]. 8839 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(199,a,7432,a,b,8838,a)]. 8840 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(60(a,1),8838(a,1,2,1,1)),flip(a)]. 8841 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(60(a,1),8839(a,1,2,1,1)),flip(a)]. 8842 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(8839(a,1),7104(a,1,1))]. 8843 T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. [para(8839(a,1),7108(a,1,1))]. 8844 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(7932,a,8840,a)]. 8845 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(199,a,6517,a(flip),b,8841,a(flip))]. 8846 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(8730,a,8842,a)]. 8847 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(60(a,1),8844(a,1,2,1)),flip(a)]. 8848 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(7633,a,8845,a),flip(a)]. 8849 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(5771(a,1),8848(a,1,2))]. 8850 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(199,a,5804,a(flip),b,8846,a)]. 8851 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(7107(a,1),8843(a,1))]. 8852 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(8851,a,7518,a),flip(a)]. 8853 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(7518(a,1),8851(a,1))]. 8854 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(7532(a,2),8851(a,1))]. 8855 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(199,a,7671,a,b,8852,a),flip(a)]. 8856 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(199,a,5733,a,b,8852,a),flip(a)]. 8857 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,8852,a)]. 8858 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),8852(a,1,2,2)),flip(a)]. 8859 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8852(a,1),5714(a,1,1))]. 8860 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(14(a,1),8856(a,1,2,1)),flip(a)]. 8861 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(60(a,1),8858(a,1,2,1)),flip(a)]. 8862 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(7398,a,8860,a)]. 8863 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(602(a,1),8861(a,1,2,1,2))]. 8864 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(15(a,1),8862(a,1,2,2))]. 8865 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8855(a,2),7253(a,1,1))]. 8866 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5267,a,8857,a)]. 8867 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(199,a,7521,a,b,8866,a(flip)),flip(a)]. 8868 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(8518(a,2),8854(a,1))]. 8869 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(7122,a,8847,a)]. 8870 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(199,a,8159,a(flip),b,8869,a(flip)),flip(a)]. 8871 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(63(a,1),8870(a,2,2))]. 8872 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(199,a,8820,a(flip),b,8863,a(flip)),flip(a)]. 8873 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(8738(a,1),5760(a,1,1)),flip(a)]. 8874 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(2731(a,1),8746(a,2,1,1))]. 8875 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(38(a,1),8834(a,1,1,2))]. 8876 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(8834(a,1),5771(a,1,1)),flip(a)]. 8877 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(8542(a,1),8835(a,1,1,1))]. 8878 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(6833(a,1),6841(a,1,2,2)),flip(a)]. 8879 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(199,a,5225,a(flip),b,8878,a)]. 8881 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(199,a,5228,a(flip),b,8879,a(flip))]. 8882 T(x,T(y,z)) \ (T(x,y) * (T(x,T(y,z)) * u)) = T(x,y) * u. [para(6875(a,1),6885(a,1,2,2,1))]. 8883 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(4498,a,7165,a)]. 8884 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(199,a,8832,a(flip),b,8883,a(flip)),flip(a)]. 8886 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),8884(a,1,2,2)),flip(a)]. 8887 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(7428(a,1),8884(a,1,2))]. 8888 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),8887(a,1,2,2,2))]. 8889 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7555(a,1),8887(a,1,2))]. 8890 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(7632,a,8889,a),flip(a)]. 8892 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(8889(a,1),7625(a,1))]. 8893 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7625,a,8888,a),flip(a)]. 8894 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),8893(a,1,2,2)),flip(a)]. 8895 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(199,a,7959,a(flip),b,8894,a(flip)),flip(a)]. 8896 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(199,a,8217,a(flip),b,8895,a(flip)),flip(a)]. 8897 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(199,a,8858,a(flip),b,8896,a(flip))]. 8898 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(7633,a,8897,a),flip(a)]. 8899 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(199,a,8294,a(flip),b,8898,a(flip)),flip(a)]. 8900 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(7505(a,2),8892(a,1))]. 8901 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(199,a,6779,a(flip),b,7239,a(flip))]. 8902 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(199,a,5496,a(flip),b,8901,a(flip)),flip(a)]. 8903 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(146(a,1),8901(a,1,1,2)),flip(a)]. 8904 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(199,a,8153,a(flip),b,8903,a)]. 8905 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(8903(a,2),5181(a,1))]. 8906 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6333(a,1),7506(a,1,1))]. 8907 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(199,a,7654,a(flip),b,7525,a)]. 8908 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7383,a,8907,a)]. 8909 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(4588(a,1),7527(a,1,2)),flip(a)]. 8910 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7666(a,1),7330(a,1))]. 8911 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(5749(a,1),7744(a,1,1))]. 8912 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(8911(a,1),103(a,1,1,1)),flip(a)]. 8913 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(8911(a,1),5018(a,1,2))]. 8914 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(7716(a,1),8113(a,2,2))]. 8915 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(8156(a,1),5114(a,1))]. 8916 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(199,a,3962,a(flip),b,8180,a)]. 8917 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),8916(a,1,1,2,1)),flip(a)]. 8918 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(199,a,3961,a(flip),b,8181,a)]. 8919 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(6215(a,1),8379(a,1,1)),flip(a)]. 8920 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7716(a,1),8399(a,1,1,1))]. 8921 K(x,T(y,L(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(8243(a,1),8484(a,1))]. 8922 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(8921,a,8221,a),flip(a)]. 8924 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(199,a,8509,a(flip),b,8922,a(flip)),flip(a)]. 8925 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(16(a,1),8922(a,1,2,2,2)),flip(a)]. 8926 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),8924(a,1,2,2,2)),flip(a)]. 8927 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(8926(a,1),7388(a,1))]. 8928 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4570,a,8615,a),flip(a)]. 8929 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(7805(a,1),8928(a,1,1,2))]. 8930 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(601(a,1),8716(a,2,2))]. 8931 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(4801(a,1),8930(a,1,2)),flip(a)]. 8932 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(8931(a,1),7999(a,1,2,1))]. 8933 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(6996,a,8932,a)]. 8934 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(199,a,7158,a(flip),b,8768,a)]. 8935 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),8934(a,2,2))]. 8936 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(3953(a,2),8935(a,1,2,1)),flip(a)]. 8937 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(199,a,8769,a(flip),b,8771,a(flip))]. 8938 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(199,a,8781,a(flip),b,8782,a)]. 8939 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(8783,a,8938,a)]. 8940 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(63(a,1),8939(a,2,2,2,1))]. 8941 K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. [para(8914(a,2),7719(a,1))]. 8942 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(8817(a,1),8914(a,2,2))]. 8943 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [hyper(199,a,7713,a(flip),b,8942,a)]. 8944 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [hyper(8941,a,8943,a)]. 8945 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(14(a,1),8944(a,1,2,2,2)),flip(a)]. 8946 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(8945(a,1),4652(a,2,2))]. 8947 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(199,a,4652,a,b,8946,a)]. 8948 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(199,a,8710,a(flip),b,8947,a(flip))]. 8949 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(58(a,1),8948(a,1,2,2))]. 8950 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(107(a,1),8949(a,1,2)),flip(a)]. 8951 (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). [hyper(199,a,252,a(flip),b,8919,a)]. 8952 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8410(a,1),8920(a,1,1))]. 8953 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7716(a,1),8952(a,2,1))]. 8954 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7732(a,1),8953(a,2,2))]. 8955 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3587(a,2),7187(a,1,1))]. 8956 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(6808(a,1),7565(a,1,1))]. 8958 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(6836(a,1),8956(a,1,2)),flip(a)]. 8959 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(199,a,4900,a(flip),b,8958,a)]. 8961 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(4961(a,1),8959(a,1,2))]. 8962 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(199,a,8473,a,b,8961,a(flip)),flip(a)]. 8963 x / L(y,T(y,z) \ x,y) = T(y,x) \ x. [para(8961(a,2),6955(a,1,2))]. 8965 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(199,a,6631,a,b,8962,a(flip)),flip(a)]. 8967 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(8965(a,1),6293(a,1,1)),flip(a)]. 8968 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7146(a,1),8967(a,1,2,2))]. 8970 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(199,a,40,a,b,8968,a)]. 8971 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(4953(a,1),8970(a,1,2))]. 8972 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8044(a,2),8971(a,1,2))]. 8973 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(199,a,7583,a(flip),b,8972,a(flip)),flip(a)]. 8975 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(199,a,4608,a(flip),b,7704,a)]. 8976 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),8975(a,1,1,2,1))]. 8977 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(7705(a,1),4864(a,1))]. 8978 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(4858,a,8029,a),flip(a)]. 8980 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(6249,a,8363,a)]. 8981 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(199,a,1918,a(flip),b,8980,a)]. 8982 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6215(a,1),8981(a,1,2)),flip(a)]. 8983 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6473(a,1),8982(a,1,2))]. 8984 T(x,a(y,z,K(x,u))) = x. [para(8982(a,1),6835(a,1,2))]. 8985 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(8984(a,1),7105(a,1,2,2)),flip(a)]. 8986 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(6451,a,8983,a)]. 8987 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5142,a,8983,a)]. 8988 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5037,a,8983,a)]. 8989 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1920,a,8983,a)]. 8990 a(x,y,K(z,u)) != w | K(u,z) \ L(K(u,z),y,x) = w. [para(8983(a,1),5142(a,1))]. 8991 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(8983(a,1),5079(a,2,2))]. 8992 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5570(a,1),8983(a,1,2))]. 8993 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6381(a,1),8983(a,1,2))]. 8994 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(8983(a,1),6644(a,1,1)),flip(a)]. 8995 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(8983(a,1),8919(a,1,2))]. 8996 a(x,y,K(z,u)) != w | K(z,u) * L(K(u,z),y,x) = w. [para(8987(a,1),5030(a,1))]. 8997 K(x,y) * a(z,u,K(x,y)) = L(K(x,y),u,z). [para(4738(a,1),8988(a,1,2,3))]. 8998 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(5775,a,8989,a)]. 8999 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6387(a,1),8989(a,1,1))]. 9000 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(8998(a,1),20(a,1)),flip(a)]. 9001 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(6376(a,1),8998(a,1,1))]. 9002 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(8993(a,1),5080(a,2,2))]. 9003 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(5772(a,1),8994(a,1,2)),flip(a)]. 9004 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(68,a,5014,a(flip),b,9003,a),flip(a)]. 9005 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(5594(a,1),8992(a,1,1))]. 9006 (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. [para(8569(a,2),8381(a,1))]. 9007 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(199,a,7733,a(flip),b,8503,a)]. 9008 T(x,T(L(y \ 1,y,z) \ u,w)) != v5 | T(x,T(((z * y) \ z) \ u,w)) = v5. [para(8720(a,2),8721(a,1))]. 9009 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8865,a,7804,a)]. 9010 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9009(a,1),4652(a,2,2)),flip(a)]. 9011 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9010(a,1),4655(a,1))]. 9012 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(9011,a,8034,a)]. 9013 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(60(a,1),9012(a,1,2,1,1)),flip(a)]. 9014 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7141(a,1),8873(a,1,1))]. 9015 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7104(a,1),8877(a,1,1)),flip(a)]. 9016 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9015(a,1),16(a,1,1))]. 9018 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9016(a,1,1,1,1))]. 9019 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(8551,a,8955,a)]. 9020 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(5025(a,1),8955(a,2,2))]. 9021 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(8955(a,1),7844(a,2,2))]. 9022 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(9006,a,7082,a)]. 9023 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(7081(a,1),9022(a,1,2)),flip(a)]. 9024 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(5913(a,1),9023(a,2,2))]. 9025 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7766,a,9007,a)]. 9026 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7177(a,1),9014(a,1,1))]. 9027 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(199,a,8738,a(flip),b,9026,a(flip))]. 9028 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(6507(a,2),9027(a,1,1))]. 9029 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9028(a,1),4916(a,1))]. 9030 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7226(a,1),6953(a,2,2))]. 9031 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(7084(a,2),7125(a,1,2,1))]. 9032 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1068(a,1),7345(a,1,2)),flip(a)]. 9033 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5586(a,1),7640(a,1,1,2))]. 9034 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9033(a,2),6362(a,1,1))]. 9035 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(5706(a,1),7685(a,1,2)),flip(a)]. 9036 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(199,a,3124,a,b,9035,a)]. 9037 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(7874,a,7978,a)]. 9038 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(199,a,7873,a(flip),b,9037,a)]. 9039 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(445(a,2),9038(a,1,2,2))]. 9040 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(6598(a,1),7986(a,1,2)),flip(a)]. 9041 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(3933(a,2),9040(a,2,2,1))]. 9042 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(5828(a,1),8326(a,1,2,2)),flip(a)]. 9043 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7084(a,2),8329(a,1,2))]. 9044 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7590(a,1),8364(a,1,2)),flip(a)]. 9046 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7732(a,1),8455(a,1,1))]. 9047 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(199,a,8456,a(flip),b,8460,a)]. 9048 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(63(a,1),9047(a,1,2,1,1)),flip(a)]. 9049 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(199,a,7013,a(flip),b,8515,a)]. 9050 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(8624,a,9049,a)]. 9052 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(3926(a,1),8581(a,1,1))]. 9053 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(199,a,8775,a(flip),b,9052,a)]. 9054 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(13(a,1),8627(a,2,2))]. 9055 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(2963(a,1),8736(a,1,1,1))]. 9056 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5136(a,1),9055(a,1,2,1))]. 9057 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4041(a,1),9056(a,1,1))]. 9058 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(8749,a,8751,a)]. 9059 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),8917(a,1,1,2,1)),flip(a)]. 9060 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),8918(a,1,1,2,1))]. 9061 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7334,a,9002,a)]. 9062 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(117(a,1),9061(a,1,2,2))]. 9063 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(199,a,6930,a,b,9032,a(flip)),flip(a)]. 9064 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7198,a,9043,a),flip(a)]. 9065 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(5604(a,1),9046(a,1,2))]. 9066 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5030,a,9065,a)]. 9067 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(7717(a,1),9066(a,1,1))]. 9068 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(7859(a,1),9067(a,1,1))]. 9069 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(8486,a,9068,a)]. 9070 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(199,a,6929,a(flip),b,9063,a(flip)),flip(a)]. 9071 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(199,a,7166,a(flip),b,9064,a)]. 9072 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7117(a,2),9071(a,2,2))]. 9073 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(7517,a,9072,a),flip(a)]. 9074 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5014(a,1),9073(a,1,2,2))]. 9075 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(7662(a,1),9074(a,1,2))]. 9076 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(199,a,5410,a(flip),b,6869,a(flip))]. 9077 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(199,a,5410,a(flip),b,7445,a(flip))]. 9078 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(8066,a,7542,a)]. 9080 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(199,a,5228,a(flip),b,9078,a(flip))]. 9081 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(47(a,1),9080(a,1,2,2))]. 9082 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(199,a,5410,a(flip),b,7561,a(flip))]. 9083 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(94(a,2),9082(a,1,1))]. 9084 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9082(a,1),8502(a,1,2))]. 9085 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(199,a,5412,a(flip),b,7580,a)]. 9086 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(5014(a,1),9085(a,1,2)),flip(a)]. 9087 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5594(a,1),9086(a,1,2,1))]. 9088 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(199,a,5413,a(flip),b,7581,a)]. 9089 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4723(a,1),9088(a,1,1)),flip(a)]. 9090 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5041(a,1),9088(a,1,1)),flip(a)]. 9091 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [para(9090(a,1),4652(a,2,2)),flip(a)]. 9092 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6007,a,9091,a),flip(a)]. 9093 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(6313(a,1),7909(a,1,1,3))]. 9094 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5008(a,1),9093(a,2,2))]. 9095 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(5289,a,8453,a)]. 9096 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7608,a,8824,a)]. 9097 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(8830(a,2),3109(a,1))]. 9098 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(6520(a,1),9097(a,1))]. 9099 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1494(a,1),8850(a,1,2,1))]. 9100 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(199,a,5008,a(flip),b,8876,a)]. 9101 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(6845(a,1),8881(a,1,1,2))]. 9102 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(199,a,5228,a(flip),b,9101,a(flip))]. 9104 ((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(9102(a,1),6654(a,2,2,2,1,1))]. 9105 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(199,a,358,a(flip),b,8912,a)]. 9106 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(199,a,4644,a,b,9105,a)]. 9108 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(199,a,7732,a,b,9106,a)]. 9109 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9018(a,2,2,1,1))]. 9110 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(79,a,9109,a)]. 9111 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(9109(a,1),262(a,1,1)),flip(b)]. 9113 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(105(a,2),9110(a,1,2))]. 9114 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(8653(a,2),9113(a,1,1))]. 9115 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(9095(a,1),5289(a,1))]. 9116 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(544(a,1),9099(a,1,2,2))]. 9117 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7141(a,1),9100(a,1,1,1))]. 9118 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(9114(a,1),436(a,1))]. 9119 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7141(a,1),9117(a,1,1,1))]. 9120 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(8875(a,1),9119(a,1,1))]. 9121 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(4834,a,9120,a)]. 9122 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(199,a,5853,a(flip),b,9121,a(flip))]. 9123 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [para(9122(a,2),16(a,1,1))]. 9124 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(9122(a,2),9111(a,1))]. 9126 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(1493(a,1),9123(a,1,1,2)),flip(a)]. 9127 K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). [para(9123(a,1),8056(a,1,2,2))]. 9128 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(4738(a,1),9127(a,1,2,2,2,1))]. 9129 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(394(a,1),9128(a,1,2))]. 9130 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(5785,a,9126,a)]. 9131 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(5014(a,1),9126(a,1,2)),flip(a)]. 9132 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7067(a,1),9126(a,2,2))]. 9133 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(9130(a,1),6362(a,1,1,2)),flip(a)]. 9134 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(199,a,6232,a(flip),b,9133,a)]. 9135 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(199,a,5715,a(flip),b,9134,a(flip)),flip(a)]. 9136 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5037,a,9131,a),flip(a)]. 9137 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(7143(a,1),9131(a,1,1))]. 9138 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(68,a,55,a(flip),b,9136,a),flip(a)]. 9139 (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(68,a,9138,a,b,1429,a)]. 9141 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(4961(a,1),9132(a,1,2)),flip(a)]. 9142 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(9124,a,8778,a),flip(a)]. 9143 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),9142(a,1,2,2,2)),flip(a)]. 9144 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),9143(a,2,2))]. 9146 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(9118,a,9144,a)]. 9147 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(9146(a,1),434(a,1,1))]. 9148 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(199,a,5890,a(flip),b,9147,a(flip))]. 9149 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4723(a,1),9148(a,2,1))]. 9150 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(199,a,8653,a(flip),b,9149,a(flip)),flip(a)]. 9151 L(x,K(y,z),z * y) = x. [hyper(715,a,9150,a)]. 9152 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(68,a,5948,a(flip),b,9150,a)]. 9153 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(68,a,14,a(flip),b,9150,a),flip(a)]. 9154 x \ (((y \ x) * y) * z) = K(y \ x,y) * z. [hyper(68,a,9150,a(flip),b,82,a(flip))]. 9157 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(9153(a,1),4626(a,1,2)),flip(a)]. 9159 K((x * y) \ z,y) != u | K((y * x) \ z,y) = u. [para(9153(a,1),7430(a,1,1))]. 9161 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(3986,a,9152,a),flip(a)]. 9162 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(199,a,8236,a(flip),b,9152,a)]. 9163 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(199,a,8234,a(flip),b,9152,a)]. 9164 (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(40(a,2),9152(a,1,2,2))]. 9165 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9152(a,2),1916(a,1))]. 9166 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(199,a,5383,a,b,9161,a(flip)),flip(a)]. 9167 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9161(a,1),6232(a,1,1))]. 9168 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),9166(a,1,2,2)),flip(a)]. 9169 x \ R(x,T(y,x),x) = a(x,y,x). [para(150(a,1),9168(a,1,2)),flip(a)]. 9170 x \ R(x,y,x) = a(x,y,x). [para(4182(a,1),9169(a,1,2))]. 9171 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5384,a,9170,a)]. 9172 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5370,a,9170,a)]. 9173 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(199,a,7562,a,b,9170,a(flip)),flip(a)]. 9174 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(199,a,6549,a,b,9170,a(flip)),flip(a)]. 9175 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(199,a,8476,a(flip),b,9170,a(flip))]. 9176 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(199,a,5383,a(flip),b,9170,a(flip)),flip(a)]. 9177 x * a(x,y,x) = R(x,y,x). [para(9170(a,1),14(a,1,2))]. 9179 a(x,y,x) * x = R(x,y,x). [para(9170(a,1),3585(a,1,1))]. 9180 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(5755(a,1),9170(a,1,2)),flip(a)]. 9181 T(x * y,x) / x = y * a(x,y,x). [para(9170(a,1),6210(a,1,2)),flip(a)]. 9182 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(9170(a,1),7153(a,1,2)),flip(a)]. 9183 x * a(x,y,x) = L(x,y,x). [hyper(199,a,4028,a(flip),b,9177,a)]. 9184 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9177(a,1),254(a,1,2)),flip(b)]. 9185 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(6243,a,9171,a)]. 9186 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5037,a,9171,a)]. 9187 a(x,y,x) * (y * x) = T(x * y,x). [para(9171(a,1),6487(a,1,1))]. 9188 (x * y) * a(y,x,y) = T(y * x,y). [para(9171(a,1),6489(a,1,2))]. 9189 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9171(a,1),8446(a,1,2))]. 9190 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6243,a,9172,a)]. 9192 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(14(a,1),9181(a,1,1,1)),flip(a)]. 9193 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9181(a,1),107(a,1,1))]. 9194 R(x * a(y,x,y),z,u) * y = y * R(y \ T(y * x,y),z,u). [para(9181(a,1),539(a,1,1,1))]. 9195 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9181(a,2),160(a,1,2,2))]. 9196 (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(9181(a,2),393(a,1,2,2))]. 9197 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9181(a,2),719(a,1,2,2,2))]. 9198 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5156(a,2),9184(a,1))]. 9199 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(14(a,1),9185(a,1,2,2))]. 9200 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(199,a,5337,a,b,9186,a)]. 9202 x * a(y,x / y,y) = T(y * (x / y),y). [hyper(268,a,9188,a)]. 9203 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(9188(a,1),810(a,1,1,2))]. 9204 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(199,a,5337,a,b,9190,a)]. 9205 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(6148(a,1),9190(a,2,1))]. 9206 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(7526(a,1),9190(a,1,2))]. 9207 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9173(a,1),3585(a,1,1))]. 9208 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4059(a,1),9173(a,1,2)),flip(a)]. 9209 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(8791,a,9175,a)]. 9210 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9209(a,2),9184(a,1))]. 9211 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(6424(a,2),9210(a,1))]. 9212 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),9189(a,1,1)),flip(a)]. 9213 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(6916(a,1),9207(a,1,2)),flip(a)]. 9214 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1470,a,9212,a)]. 9215 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9212(a,1),63(a,1,1))]. 9216 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(199,a,7485,a(flip),b,9214,a(flip)),flip(a)]. 9217 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),9214(a,1,1)),flip(a)]. 9218 a(x,y,x) \ x = L(x,y,x). [hyper(6641,a,9215,a)]. 9219 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(698(a,1),9215(a,1,2))]. 9220 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(199,a,8103,a,b,9216,a(flip)),flip(a)]. 9221 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(199,a,1195,a,b,9216,a(flip)),flip(a)]. 9222 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9216(a,1),4669(a,1,2))]. 9223 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(7566(a,1),9216(a,1,2,1))]. 9224 (x * y) / a(y,z,y) = x * L(y,z,y). [hyper(79,a,9217,a)]. 9225 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(14(a,1),9221(a,1,2)),flip(a)]. 9226 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(68,a,358,a(flip),b,9224,a(flip))]. 9227 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [hyper(5037,a,9176,a)]. 9229 x \ ((y * (x / y)) * z) = K(y \ x,y) * z. [para(193(a,1),9154(a,1,2,1))]. 9230 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(199,a,9170,a(flip),b,9180,a)]. 9231 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(199,a,9208,a(flip),b,9230,a(flip)),flip(a)]. 9232 x \ ((y * (x / y)) * z) = K(y,y \ x) * z. [para(4738(a,1),9229(a,2,1))]. 9233 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(9220(a,2),19(a,1))]. 9234 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9220(a,1),4632(a,1,2))]. 9235 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(199,a,9057,a(flip),b,9222,a)]. 9236 K(x,x * y) * z != K(x,y) * u | u * a(x,y,x) = z. [para(9235(a,1),19(a,1)),flip(a)]. 9237 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9217(a,1),9235(a,1,2)),flip(a)]. 9238 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(9233,a,9223,a),flip(a)]. 9240 T(x * R(x \ (x * y),z,u),x) = R(y * a(x,y,x),z,u) * x. [hyper(199,a,1695,a,b,9194,a),flip(a)]. 9241 R(x * a(y,x,y),z,u) * y = T(y * R(x,z,u),y). [para(13(a,1),9240(a,1,1,2,1)),flip(a)]. 9242 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9213(a,2),20(a,1))]. 9243 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1394(a,1),9195(a,1,2,2))]. 9244 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(9238(a,1),9219(a,1,1,2))]. 9246 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(105(a,1),9243(a,1,2)),flip(a)]. 9247 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8096(a,1),7663(a,1,1)),flip(a)]. 9248 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(199,a,7329,a(flip),b,9247,a)]. 9249 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(1156(a,1),9248(a,1,1)),flip(a)]. 9250 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(8910,a,9249,a)]. 9251 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(199,a,4364,a(flip),b,7876,a(flip)),flip(a)]. 9252 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(199,a,7836,a(flip),b,9251,a(flip))]. 9253 T(x,K(y,z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(7833(a,1),7884(a,1,1))]. 9254 T(x,K(y,z)) / (z * T(z \ x,y)) = (x * K(y,(z / x) \ 1)) / x. [para(5318(a,1),9253(a,2,1,2))]. 9255 T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,T((z / x) \ 1,x)). [hyper(199,a,7101,a(flip),b,9254,a)]. 9256 T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,(x \ z) \ 1). [hyper(199,a,7252,a(flip),b,9255,a)]. 9257 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(199,a,5411,a(flip),b,7992,a)]. 9259 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(71,a,8071,a),flip(a)]. 9260 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4285(a,1),9259(a,1,1)),flip(a)]. 9261 (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(5830,a,9260,a)]. 9262 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(199,a,8168,a(flip),b,8169,a)]. 9263 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(60(a,1),9262(a,1,1,2,1,2,1))]. 9264 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(199,a,8091,a(flip),b,9263,a(flip)),flip(a)]. 9265 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(7611,a,9264,a)]. 9266 K(x,(y * z) \ (x \ u)) != w | K(x,(y * (z / (x \ 1))) \ u) = w. [para(8755(a,1),8206(a,1))]. 9267 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(199,a,7167,a(flip),b,8235,a)]. 9269 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5594(a,1),8408(a,1,1,2))]. 9270 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4418,a,9269,a)]. 9271 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(5771(a,1),9270(a,2,1))]. 9272 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(5776,a,9271,a),flip(a)]. 9273 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(199,a,163,a(flip),b,9272,a)]. 9274 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(165(a,1),8459(a,2,1))]. 9275 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(199,a,8437,a(flip),b,9274,a(flip))]. 9276 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(199,a,1297,a(flip),b,8735,a(flip)),flip(a)]. 9277 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(7991(a,2),9276(a,1,1))]. 9278 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(63(a,1),9277(a,1,1,2,1))]. 9279 L(x,K(y,z),K(z,u)) = x. [hyper(391,a,9278,a)]. 9280 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(9278(a,1),255(a,1,2))]. 9282 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(1914(a,1),9278(a,1,1))]. 9283 L(x,K(y,z),K(z,u)) = K(w,v5) * (K(v5,w) * x). [hyper(199,a,5014,a,b,9279,a)]. 9284 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(199,a,3903,a(flip),b,9279,a)]. 9285 L(x,K(y,z),K(y,u)) = x. [para(4738(a,1),9279(a,1,2))]. 9286 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5594(a,1),9279(a,1,2))]. 9287 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7141(a,1),9279(a,1,2))]. 9288 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(199,a,5655,a(flip),b,9285,a(flip)),flip(a)]. 9289 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(199,a,5553,a(flip),b,9285,a(flip)),flip(a)]. 9290 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(9285(a,1),92(a,1,2))]. 9291 L(x,K(y,z),K(u,y)) = x. [para(4738(a,1),9285(a,1,3))]. 9292 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [hyper(199,a,5655,a(flip),b,9291,a(flip)),flip(a)]. 9293 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(9291(a,1),92(a,1,2))]. 9294 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(9287(a,1),92(a,1,2))]. 9295 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(9286(a,1),92(a,1,2))]. 9297 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [hyper(199,a,4836,a,b,9289,a)]. 9298 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(9289(a,1),6564(a,2,1))]. 9299 L(x,K(y,z),K(z,u)) != w | w = x. [para(9283(a,2),5019(a,1))]. 9300 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(9284(a,1),8314(a,1,2,3))]. 9301 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) != w | T(K(z,x) * K(x,y),u) = w. [para(9282(a,1),4655(a,1))]. 9302 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(199,a,5881,a(flip),b,9288,a(flip))]. 9303 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [para(7713(a,1),9290(a,1,1)),flip(a)]. 9304 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(9172(a,1),9292(a,1,1)),flip(a)]. 9305 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(5037,a,9304,a)]. 9306 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(5255(a,2),9304(a,1,2,1))]. 9307 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(9236,a,9305,a(flip))]. 9308 T(a(x,y,x),z) = a(x,y,x). [hyper(3882,a,9307,a)]. 9309 x / a(y,z,y) = a(y,z,y) \ x. [hyper(79,a,9307,a)]. 9310 a(x,y,x) * z = z * a(x,y,x). [para(13(a,1),9307(a,1,1)),flip(a)]. 9311 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(9307(a,1),262(a,1,1)),flip(b)]. 9312 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(199,a,9170,a,b,9308,a)]. 9313 K(x,a(y,z,y)) = 1. [hyper(67,a,9308,a,b,4607,a),flip(a)]. 9314 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(9308(a,1),215(a,1,2))]. 9316 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(9308(a,1),165(a,1,2,1)),flip(a)]. 9318 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(9308(a,1),554(a,2,1))]. 9319 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(9308(a,1),813(a,1,1,1)),flip(a)]. 9320 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(9309(a,1),9226(a,1,2))]. 9321 x / T(a(y,z,y),u) = a(y,z,y) \ x. [para(9308(a,2),9309(a,1,2))]. 9322 a(x,y,x) * (z / x) = z / L(x,y,x). [hyper(199,a,9189,a(flip),b,9310,a)]. 9323 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(68,a,9310,a,b,535,a)]. 9324 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(9310(a,2),19(a,1))]. 9325 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(9310(a,1),663(a,1,1))]. 9326 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(9170(a,2),9310(a,2,2)),flip(a)]. 9327 T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). [para(7032(a,1),9312(a,2,2))]. 9329 (x / y) * L(y,z,y) = a(y,z,y) \ x. [para(9320(a,1),14(a,1,2))]. 9330 a(x,T(x,y) \ z,x) * (z / x) = T(x,z) \ z. [hyper(199,a,8963,a(flip),b,9322,a)]. 9331 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(199,a,4543,a(flip),b,9329,a(flip))]. 9332 (x / y) \ (a(y,z,y) \ x) != u | L(y,z,y) = u. [para(9329(a,1),254(a,1,2)),flip(b)]. 9334 R(K(x,y),K(y,z),u) = K(x,y). [hyper(4454,a,9293,a)]. 9335 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [hyper(199,a,9282,a(flip),b,9293,a(flip)),flip(a)]. 9336 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(5461(a,1),9293(a,1,1)),flip(a)]. 9337 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(9334(a,1),2590(a,1,1)),flip(a)]. 9338 R(K(x,y),K(z,y),u) = K(x,y). [para(4738(a,1),9334(a,1,2))]. 9339 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)). [para(9303(a,1),4399(a,1,1,2,1)),flip(a)]. 9340 T(x,R(a(y,z,y),u,w)) = x. [hyper(188,a,9316,a)]. 9341 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [hyper(199,a,9292,a,b,9335,a),flip(a)]. 9342 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(199,a,4960,a,b,9335,a),flip(a)]. 9343 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(5014(a,1),9335(a,1,2)),flip(a)]. 9344 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5014(a,1),9335(a,2,2))]. 9345 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6379(a,1),9335(a,1,2,1)),flip(a)]. 9346 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7141(a,1),9341(a,1,1,1))]. 9347 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(5037,a,9343,a)]. 9348 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(69,a,9343,a(flip),b,9293,a)]. 9349 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5037,a,9344,a)]. 9350 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(69,a,9344,a(flip),b,9282,a)]. 9351 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7716(a,2),9347(a,1,1))]. 9352 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5033(a,1),9348(a,1,1))]. 9353 (((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(9349(a,1),1520(a,1,1,1,1))]. 9354 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(7106(a,1),9350(a,1,1))]. 9355 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(199,a,9306,a(flip),b,9336,a(flip))]. 9356 (x \ L(x,y,x)) \ z = a(x,y,x) * z. [hyper(68,a,13,a(flip),b,9355,a)]. 9357 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(66,a,9356,a,b,9326,a),flip(a)]. 9358 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4626(a,1),9342(a,1,2))]. 9359 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7716(a,2),9351(a,2,2,1))]. 9360 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(270,a,9359,a),flip(a)]. 9361 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7716(a,2),9360(a,1,2,1))]. 9362 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(9044(a,1),9280(a,1))]. 9363 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(9308(a,1),9319(a,2,1))]. 9364 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9181(a,2),9363(a,1,2,1))]. 9366 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(199,a,9246,a,b,9364,a(flip)),flip(a)]. 9367 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(4625(a,1),9366(a,1,1,2)),flip(a)]. 9368 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(4912(a,2),9295(a,1,1,2,1))]. 9369 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(5527(a,1),9302(a,1,2)),flip(a)]. 9370 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(199,a,5095,a(flip),b,9369,a)]. 9371 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(7659(a,1),9370(a,2,2))]. 9372 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(143(a,2),9352(a,1,2,2,2))]. 9373 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(7106(a,1),9354(a,1,2))]. 9374 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [hyper(199,a,7150,a(flip),b,9373,a)]. 9375 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6379(a,1),9345(a,1,1))]. 9376 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. [hyper(199,a,9004,a(flip),b,9375,a(flip))]. 9377 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(199,a,8994,a(flip),b,9376,a(flip))]. 9378 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(384,a,9377,a)]. 9379 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(254,a,9377,a)]. 9380 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(199,a,8985,a,b,9377,a)]. 9381 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) != v5 | v5 = w. [para(9377(a,1),211(a,1,2))]. 9383 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(9380(a,2),19(a,1))]. 9385 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(199,a,13,a(flip),b,9030,a)]. 9387 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [para(9385(a,1),14(a,1,2))]. 9388 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(9387(a,1),6560(a,1,2))]. 9389 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7143(a,1),9137(a,1,2,2,1))]. 9391 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1690(a,1),9162(a,1,2))]. 9392 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(597,a,9391,a),flip(a)]. 9393 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(9391(a,1),597(a,1))]. 9394 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(8505,a,9392,a)]. 9395 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(9392(a,1),14(a,1,2))]. 9396 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(9392(a,1),4350(a,1,1)),flip(a)]. 9397 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(9392(a,1),8458(a,1,2)),flip(a)]. 9398 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(9081(a,2),9392(a,1,2))]. 9399 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(4179(a,1),9396(a,2,1))]. 9401 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(9394(a,1),6237(a,1,1))]. 9402 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(6859(a,1),9394(a,1,1))]. 9403 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(9394(a,1),8107(a,1,1)),flip(a)]. 9404 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(16(a,1),9401(a,1,2,2))]. 9405 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5075,a,9397,a)]. 9406 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(199,a,920,a(flip),b,9405,a(flip)),flip(a)]. 9407 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(9405(a,1),14(a,1,2))]. 9408 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4625(a,1),9367(a,2,2))]. 9409 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(9393,a,9398,a)]. 9410 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(199,a,4516,a(flip),b,9409,a(flip))]. 9411 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4180,a,9410,a)]. 9412 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(9081(a,1),9399(a,1,1))]. 9413 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(9411(a,1),9412(a,2,1))]. 9414 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(199,a,9396,a(flip),b,9413,a(flip)),flip(a)]. 9415 (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(7141(a,1),7266(a,2,1,2))]. 9416 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8177(a,1),4858(a,1))]. 9417 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(4452(a,1),8225(a,1,1))]. 9418 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(9279(a,1),8371(a,1,1,1)),flip(a)]. 9419 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(1914(a,1),9418(a,1,2,2))]. 9420 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(9419(a,1),6272(a,1,1))]. 9421 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6318(a,1),9420(a,1,1,1)),flip(a)]. 9422 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(8733(a,1),4858(a,1))]. 9423 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(42(a,2),8754(a,1,1,2))]. 9424 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(4864,a,8829,a),flip(a)]. 9425 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(199,a,8119,a(flip),b,9424,a)]. 9426 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8132,a,9425,a)]. 9427 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9076(a,1),9426(a,1,2))]. 9428 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(199,a,9084,a(flip),b,9427,a(flip))]. 9429 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(199,a,8126,a(flip),b,9428,a(flip))]. 9430 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7739,a,9429,a)]. 9431 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(199,a,9025,a(flip),b,9430,a(flip)),flip(a)]. 9432 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(199,a,8739,a(flip),b,9431,a)]. 9434 K(x,K(y,a(z,x,u))) = 1. [para(47(a,1),9432(a,1,2,2,3))]. 9436 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(9434(a,1),7725(a,1,2)),flip(a)]. 9437 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(199,a,12,a(flip),b,9436,a)]. 9438 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(7816,a,9437,a)]. 9439 a(x,y \ z,u) * K(y,z) != w | K(y,z) * a(x,y \ z,u) = w. [para(9438(a,1),217(a,1,1))]. 9440 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(8899(a,2),7390(a,1))]. 9441 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(3926(a,1),9203(a,1,1)),flip(a)]. 9442 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(9301,a,9075,a),flip(a)]. 9443 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(9323(a,1),9325(a,1))]. 9444 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(6862(a,1),9402(a,1,2)),flip(a)]. 9445 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(199,a,9394,a(flip),b,9444,a)]. 9447 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(107(a,1),9445(a,1,2)),flip(a)]. 9448 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(293(a,1),9445(a,1,2,2))]. 9449 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(9447(a,1),9404(a,1,1))]. 9450 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(199,a,6865,a(flip),b,9449,a)]. 9451 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8621(a,1),9415(a,2,1))]. 9452 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(199,a,9094,a(flip),b,9451,a)]. 9453 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7141(a,1),9452(a,1,1,2))]. 9454 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7106(a,1),9453(a,1,2))]. 9455 (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(8494(a,2),9454(a,1,1))]. 9456 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8937(a,1),9417(a,1,1))]. 9457 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(4738(a,1),9423(a,1,2,2))]. 9458 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(51(a,1),9456(a,1,1,2,1))]. 9459 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7091(a,1),9458(a,1,2))]. 9460 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(3085(a,1),9459(a,1,2))]. 9461 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(199,a,4494,a(flip),b,9460,a)]. 9462 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7721(a,1),9457(a,1,2))]. 9463 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(9462(a,1),5228(a,1,1,2))]. 9465 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5225(a,1),9463(a,1,1))]. 9466 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(199,a,6629,a(flip),b,9465,a(flip))]. 9467 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(9466(a,1),8238(a,2,1))]. 9468 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(199,a,7672,a(flip),b,7174,a)]. 9469 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7382,a,9468,a)]. 9470 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3582(a,1),7638(a,1,1))]. 9471 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(130(a,1),7926(a,1,1))]. 9473 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6228(a,1),9471(a,1,2))]. 9474 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6659(a,1),9473(a,1,2)),flip(a)]. 9475 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(199,a,11,a(flip),b,9474,a)]. 9476 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5037,a,9475,a)]. 9477 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(910(a,1),9476(a,1,2,2))]. 9478 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(8451(a,1),9476(a,1,1))]. 9479 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(199,a,7943,a(flip),b,8293,a(flip))]. 9481 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(30(a,2),9479(a,1,1))]. 9482 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(199,a,7708,a,b,9481,a(flip)),flip(a)]. 9483 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(199,a,8550,a,b,9482,a(flip)),flip(a)]. 9484 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(8568,a,8725,a),flip(a)]. 9485 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(199,a,8073,a(flip),b,9484,a(flip))]. 9487 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(199,a,7947,a(flip),b,8789,a(flip))]. 9489 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(30(a,2),9487(a,1,2))]. 9490 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(199,a,7645,a,b,9489,a(flip)),flip(a)]. 9491 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(9490(a,1),4652(a,2,2)),flip(a)]. 9492 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4655,a,9491,a),flip(a)]. 9493 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(4961(a,1),9492(a,1,2,1)),flip(a)]. 9494 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(199,a,9096,a(flip),b,9019,a)]. 9495 K(a(x,y,z),x) = 1. [hyper(5756,a,9494,a),flip(a)]. 9497 T(a(x,y,z),x) = a(x,y,z). [hyper(37,a,9495,a)]. 9498 a(x,y,z) * x = x * a(x,y,z). [para(9497(a,1),105(a,1,2)),flip(a)]. 9499 T(a(x,y,z),x) != u | a(x,y,z) = u. [para(9497(a,1),338(a,1,1)),flip(b)]. 9500 T(a(1 / x,y,z),x \ 1) != u | a(x \ 1,y,z) = u. [para(3780(a,2),9499(a,1,1))]. 9501 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(6164,a,9054,a)]. 9502 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(13(a,1),9501(a,1,2))]. 9503 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(7348,a,9502,a)]. 9504 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(199,a,7474,a(flip),b,9129,a(flip))]. 9506 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4665(a,1),9470(a,2,1))]. 9507 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(9170(a,1),9506(a,1,1))]. 9508 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(199,a,7641,a,b,9507,a),flip(a)]. 9509 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9242,a,9508,a)]. 9510 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7484(a,1),9477(a,1,1))]. 9511 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(4599(a,2),9510(a,1,2))]. 9513 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(5753(a,1),9511(a,1,1))]. 9514 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(199,a,7562,a(flip),b,9513,a)]. 9515 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(1916,a,9514,a)]. 9517 L(K(x,K(y,z)) \ u,K(T(x,y),K(y,z)),T(x,y)) = T(x,T(y,z)) \ (T(x,y) * u). [para(7188(a,1),6888(a,1,1,1))]. 9518 T(x,T(y,z)) \ (T(x,y) * u) = K(x,K(y,z)) \ u. [hyper(4666,a,9517,a)]. 9520 K(x,K(y,z)) \ (T(x,T(y,z)) * u) = T(x,y) * u. [hyper(199,a,8882,a(flip),b,9518,a(flip))]. 9521 T(x,y) * (T(x,T(y,z)) \ u) = K(x,K(y,z)) \ u. [para(14(a,1),9520(a,1,2)),flip(a)]. 9522 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(199,a,15,a(flip),b,7468,a)]. 9524 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(7467(a,1),9522(a,1,3))]. 9525 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(3104(a,1),7574(a,1,2,1)),flip(a)]. 9526 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3104(a,1),9525(a,1,2)),flip(a)]. 9528 (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(9526(a,1),539(a,1,1,1)),flip(a)]. 9530 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). [para(32(a,2),7960(a,2,2,2))]. 9531 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). [hyper(199,a,6825,a(flip),b,9530,a)]. 9533 K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). [para(470(a,1),9531(a,1,2))]. 9534 K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). [para(16(a,1),9533(a,1,2,1,1)),flip(a)]. 9535 K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). [para(13(a,1),9534(a,1,2,1)),flip(a)]. 9536 L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [hyper(6403,a,9535,a)]. 9537 L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [para(8195(a,1),9536(a,1,1))]. 9538 L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). [para(6519(a,1),9537(a,1,1))]. 9539 K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). [hyper(8442,a,9538,a)]. 9541 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(199,a,6746,a(flip),b,9539,a(flip))]. 9542 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(199,a,6442,a(flip),b,9541,a(flip)),flip(a)]. 9544 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(199,a,8102,a(flip),b,8100,a)]. 9545 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(199,a,6132,a(flip),b,9544,a)]. 9546 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(199,a,8611,a(flip),b,9545,a(flip))]. 9548 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(199,a,8950,a,b,9546,a(flip)),flip(a)]. 9549 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8537(a,1),8139(a,1,2))]. 9550 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7716(a,1),9549(a,1,2))]. 9552 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(7924(a,1),9550(a,2,1))]. 9553 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(199,a,9403,a(flip),b,9552,a(flip)),flip(a)]. 9554 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(8365,a,9553,a)]. 9555 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(9362,a,9554,a)]. 9556 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(7382,a,8427,a),flip(a)]. 9557 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(5281(a,1),8482(a,1,2))]. 9558 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(199,a,7795,a(flip),b,9557,a)]. 9560 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,1),8517(a,1,2,1))]. 9562 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),9560(a,1,2))]. 9563 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(8445,a,9562,a)]. 9564 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(199,a,7004,a(flip),b,9563,a)]. 9567 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),9564(a,2,2,2))]. 9568 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(4024(a,1),9567(a,1,1,2))]. 9569 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7052,a,9568,a)]. 9571 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [hyper(68,a,105,a(flip),b,8644,a)]. 9572 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9029,a,9571,a)]. 9573 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(8500,a,9572,a)]. 9574 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),9573(a,1,2,1)),flip(a)]. 9575 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(199,a,8222,a(flip),b,9574,a)]. 9576 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(149(a,1),9575(a,1,2)),flip(a)]. 9577 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(9575(a,1),8644(a,1,2))]. 9578 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(199,a,8506,a(flip),b,9577,a(flip))]. 9579 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(69,a,9578,a(flip),b,105,a(flip))]. 9581 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(199,a,358,a(flip),b,9579,a(flip))]. 9583 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(14(a,1),9581(a,1,1,2))]. 9584 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),9581(a,1,1,2))]. 9586 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(9581(a,1),7271(a,1,2))]. 9587 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(9583(a,1),7403(a,1,2,2))]. 9588 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(199,a,8579,a,b,9584,a(flip)),flip(a)]. 9590 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(9588(a,1),63(a,1,1)),flip(a)]. 9591 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(9590(a,2),2913(a,2,1))]. 9592 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(199,a,3388,a(flip),b,8724,a)]. 9593 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(549(a,1),9592(a,1,2))]. 9594 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(5189,a,9593,a),flip(a)]. 9595 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(199,a,9087,a(flip),b,8849,a(flip)),flip(a)]. 9596 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(6046(a,1),9021(a,1,2))]. 9597 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(199,a,8451,a(flip),b,9596,a(flip)),flip(a)]. 9598 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(9238(a,1),9206(a,1,1)),flip(a)]. 9599 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(8900,a,9598,a),flip(a)]. 9601 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7159,a,9599,a)]. 9602 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7232(a,1),9601(a,1,1,2))]. 9603 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(9048(a,1),9601(a,1,1))]. 9604 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(105(a,1),9273(a,1,1))]. 9605 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(9462(a,1),9467(a,1,2,1))]. 9606 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(4961(a,1),9605(a,1,2))]. 9608 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(7084(a,2),9478(a,1,2,2,1))]. 9609 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(199,a,8886,a(flip),b,9556,a)]. 9611 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(199,a,7169,a(flip),b,9609,a)]. 9612 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(5008(a,1),9608(a,1,2))]. 9613 x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. [para(9612(a,1),20(a,1)),flip(a)]. 9614 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4032(a,1),6635(a,1,2))]. 9615 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(199,a,5405,a(flip),b,9614,a)]. 9616 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7008(a,1),9615(a,1,1,1,1))]. 9617 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(5806(a,1),9616(a,1,1))]. 9619 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(8390(a,1),9617(a,1,1))]. 9620 (((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(6018(a,1),7366(a,2,1))]. 9621 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(199,a,9257,a(flip),b,8417,a)]. 9623 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(199,a,6005,a(flip),b,9621,a)]. 9624 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5997(a,1),9623(a,1,2,2))]. 9625 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(199,a,8456,a(flip),b,8461,a)]. 9626 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(7155(a,1),9625(a,1,2,1,2,1))]. 9627 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(199,a,9469,a(flip),b,9626,a(flip))]. 9629 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(199,a,8530,a(flip),b,9627,a(flip)),flip(a)]. 9630 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(199,a,8158,a(flip),b,9629,a(flip))]. 9631 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(112(a,1),9629(a,2,2))]. 9632 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(199,a,8933,a(flip),b,9631,a(flip)),flip(a)]. 9634 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(13(a,1),9632(a,2,2))]. 9635 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(199,a,8872,a(flip),b,9634,a(flip))]. 9637 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(199,a,8715,a,b,9635,a(flip)),flip(a)]. 9639 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(199,a,8833,a(flip),b,9637,a(flip)),flip(a)]. 9640 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [para(11(a,1),9630(a,2,2,1))]. 9641 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(199,a,7437,a(flip),b,9640,a(flip)),flip(a)]. 9642 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9641(a,1),8830(a,1,1))]. 9643 (((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(199,a,6228,a(flip),b,9620,a)]. 9644 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(6553,a,9642,a),flip(a)]. 9645 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(3109,a,9644,a)]. 9646 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(8831,a,9645,a)]. 9647 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(357(a,1),9646(a,1,2,1,2))]. 9648 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(199,a,8198,a(flip),b,9647,a)]. 9649 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [hyper(9266,a,9648,a)]. 9650 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),9648(a,1,2,2))]. 9651 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(194(a,1),9649(a,1,2,1)),flip(a)]. 9652 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(6852,a,9650,a)]. 9653 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(199,a,9647,a(flip),b,9652,a(flip)),flip(a)]. 9654 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(199,a,6520,a,b,9653,a(flip)),flip(a)]. 9655 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(12(a,1),9653(a,2,2,1))]. 9656 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(9653(a,1),8156(a,1,2,2))]. 9657 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9653(a,1),8157(a,1,1))]. 9658 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(9653(a,1),9098(a,1))]. 9659 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(199,a,9651,a,b,9655,a(flip)),flip(a)]. 9660 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(199,a,9053,a(flip),b,9659,a(flip))]. 9661 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(7418,a,9660,a)]. 9662 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(8286,a,9661,a),flip(a)]. 9663 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(7385,a,9662,a),flip(a)]. 9664 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5114,a,9656,a),flip(a)]. 9665 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(8915,a,9664,a)]. 9666 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(9664(a,1),8915(a,1))]. 9667 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(12(a,1),9665(a,2,1,1))]. 9668 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(199,a,6434,a,b,9667,a(flip)),flip(a)]. 9669 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(199,a,6374,a,b,9667,a(flip)),flip(a)]. 9670 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(199,a,7969,a(flip),b,9669,a)]. 9671 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(5337(a,2),9669(a,1,1))]. 9672 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(9669(a,1),8983(a,1,2))]. 9673 L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). [para(5337(a,2),9670(a,1,1))]. 9674 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(9670(a,1),7005(a,2,1))]. 9675 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(105(a,1),9671(a,2,1,2))]. 9676 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(9672(a,1),5036(a,1,2))]. 9677 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9000,a,9676,a)]. 9678 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(14(a,1),9677(a,2,2,2,1))]. 9679 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5255(a,2),9677(a,1,1))]. 9680 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(386(a,1),9679(a,2,2))]. 9681 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(199,a,6384,a(flip),b,9680,a)]. 9683 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(199,a,3090,a(flip),b,9663,a)]. 9684 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8853,a,9683,a)]. 9685 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(199,a,8255,a,b,9684,a),flip(a)]. 9686 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(199,a,9654,a(flip),b,9657,a(flip))]. 9687 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(199,a,8600,a(flip),b,9686,a(flip)),flip(a)]. 9688 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(6970(a,1),9685(a,1,1))]. 9689 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(14(a,1),9688(a,2,2,1,2,1))]. 9690 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(199,a,5335,a,b,9689,a),flip(a)]. 9692 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(9690(a,1),4652(a,2,2))]. 9693 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(7553(a,1),9675(a,1,1))]. 9695 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(8890(a,1),9693(a,1,1)),flip(a)]. 9696 L(K(x * y,T(x,z)),y,z) != u | K((z / (z * y)) \ x,x) = u. [para(9695(a,1),6187(a,1))]. 9697 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(199,a,7689,a,b,9687,a(flip))]. 9698 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(199,a,8925,a(flip),b,9697,a)]. 9699 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),9698(a,1,2,1)),flip(a)]. 9700 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(199,a,7252,a(flip),b,9699,a(flip))]. 9701 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(199,a,6005,a(flip),b,9700,a)]. 9702 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(4942,a,9701,a),flip(a)]. 9703 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(199,a,6519,a(flip),b,9701,a(flip))]. 9704 K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. [para(9701(a,1),4942(a,1))]. 9705 K(x,x \ (y * (x * z))) = K(x,y * z). [para(13(a,1),9702(a,2,2,2))]. 9706 K(x,y * (x \ (y \ z))) = K(x,x \ z). [para(14(a,1),9702(a,1,2,2)),flip(a)]. 9707 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(9702(a,1),6232(a,1,1,2))]. 9708 K(x,x \ ((x \ y) \ z)) = K(x,y \ z). [para(14(a,1),9703(a,1,2,2)),flip(a)]. 9709 K(x / y,(x / y) \ z) = K(x / y,x \ (y * z)). [para(63(a,1),9703(a,1,2,2,1)),flip(a)]. 9710 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(199,a,8511,a,b,9705,a(flip)),flip(a)]. 9711 K(x,x \ ((y / x) \ z)) = K(x,y \ z). [hyper(199,a,6832,a,b,9708,a(flip)),flip(a)]. 9712 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(55(a,1),9710(a,1,2,2))]. 9713 K(x,y * (1 / x)) = K(x,x \ y). [para(62(a,1),9710(a,1,2,2)),flip(a)]. 9714 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(9710(a,1),7815(a,1,2)),flip(a)]. 9715 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(9713(a,1),4911(a,1,2)),flip(a)]. 9716 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [para(15(a,1),9711(a,1,2,2,1)),flip(a)]. 9717 K(T(x,y),T(x,y) \ (y \ z)) = K(T(x,y),(x * y) \ z). [para(122(a,1),9711(a,1,2,2,1))]. 9718 K(x * (1 / y),y) = K(y \ x,y). [hyper(199,a,4911,a(flip),b,9715,a)]. 9719 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(199,a,4103,a,b,9718,a),flip(a)]. 9720 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [hyper(199,a,4102,a(flip),b,9718,a)]. 9721 K(x * (y \ 1),y) = K(y \ x,y). [hyper(199,a,5174,a(flip),b,9718,a(flip)),flip(a)]. 9722 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(60(a,1),9718(a,1,1,2)),flip(a)]. 9723 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(199,a,4923,a(flip),b,9721,a(flip)),flip(a)]. 9724 x * K(x * (y \ 1),y) = (y \ x) * y. [para(9721(a,2),221(a,1,2))]. 9725 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(7949,a,9716,a)]. 9726 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(199,a,5176,a(flip),b,9719,a)]. 9727 K(T(x,1 / y) / y,y) = K(x / y,y). [para(883(a,1),9720(a,1,1))]. 9728 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(63(a,1),9724(a,1,2,1,2)),flip(a)]. 9729 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(5184(a,1),9724(a,1,2)),flip(a)]. 9730 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(199,a,8198,a(flip),b,9725,a(flip))]. 9731 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(13(a,1),9725(a,1,2,2)),flip(a)]. 9732 K(x,y \ (x \ (y * z))) = K(x,x \ z). [para(13(a,1),9725(a,2,2,2))]. 9733 K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). [para(2773(a,1),9727(a,2,1))]. 9734 L(K(x,x \ y),y,z) = K(x,x \ y). [hyper(7961,a,9732,a)]. 9735 K(x,x \ y) != z | L(K(x,x \ y),y,u) = z. [para(9732(a,1),7961(a,1))]. 9736 K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). [hyper(6475,a,9734,a),flip(a)]. 9737 a(x,y,K(z \ y,z)) = 1. [hyper(67,a,9734,a(flip),b,8988,a),flip(a)]. 9739 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(33,a,9737,a)]. 9740 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(7981,a,9739,a)]. 9741 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(6550,a,9739,a)]. 9744 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(14(a,1),9740(a,1,1,2,2))]. 9745 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(9740(a,1),8053(a,1,2))]. 9746 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(9159,a,9741,a)]. 9747 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(199,a,7443,a(flip),b,9744,a(flip))]. 9748 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(1192(a,1),9746(a,1,1,1)),flip(a)]. 9749 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(4342(a,1),9747(a,1,1,2,1))]. 9751 K(R(x,y,y \ 1),y) = K(x,y). [hyper(199,a,574,a(flip),b,9723,a)]. 9753 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(9751(a,1),5060(a,1,1))]. 9754 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(8462,a,9712,a),flip(a)]. 9755 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [hyper(199,a,5214,a,b,9712,a(flip)),flip(a)]. 9756 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(199,a,4110,a(flip),b,9712,a(flip)),flip(a)]. 9757 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4630,a,9754,a)]. 9758 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(9754(a,2),5456(a,2,2))]. 9759 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7554(a,1),9714(a,1,2)),flip(a)]. 9760 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(199,a,6036,a(flip),b,9722,a)]. 9762 R(x,y,K(z \ y,z)) = x. [hyper(724,a,9745,a)]. 9764 R(x,y / z,z) = R(x,z \ y,z). [hyper(199,a,6773,a(flip),b,9762,a(flip))]. 9765 R(x,y * z,K(z,y)) = x. [para(13(a,1),9762(a,1,3,1))]. 9766 R(x,y,T(z,y)) = R(x,y,z). [hyper(6583,a,9765,a)]. 9767 (x * (y * z)) * K(z,y) = x * (z * y). [para(9765(a,1),435(a,1,1)),flip(a)]. 9772 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(9766(a,1),434(a,1,1))]. 9774 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7084(a,2),9766(a,1,3))]. 9776 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(199,a,8859,a(flip),b,9764,a(flip))]. 9777 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(199,a,5714,a(flip),b,9764,a(flip))]. 9779 K(x,L(y,x,z)) = K(x,y). [hyper(8508,a,9767,a)]. 9780 K(x,y) * T(z * (y * x),K(y,x)) = z * (x * y). [hyper(5283,a,9767,a)]. 9782 K(L(x,y,z),y) = K(x,y). [hyper(8444,a,9779,a)]. 9785 L(K(x,y),z,y * x) = K(x,y). [hyper(199,a,9576,a(flip),b,9779,a(flip)),flip(a)]. 9786 T(x,L(y,x,z)) = x * K(x,y). [para(9779(a,1),4652(a,2,2))]. 9788 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(9779(a,1),8432(a,1,1))]. 9792 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(418(a,1),9782(a,1,1))]. 9794 K(x,R(y,x,z)) = K(x,y). [hyper(199,a,9144,a(flip),b,9785,a(flip)),flip(a)]. 9795 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(9785(a,1),9109(a,1,1))]. 9797 K(R(x,y,z),y) = K(x,y). [hyper(199,a,8254,a,b,9794,a(flip)),flip(a)]. 9798 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(199,a,8940,a(flip),b,9794,a(flip)),flip(a)]. 9799 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),9794(a,1,2))]. 9800 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(442(a,1),9794(a,1,2)),flip(a)]. 9803 K(R(x,y,z),y) = K(x,R(y,x,u)). [hyper(199,a,9794,a,b,9797,a)]. 9805 K(x / (1 / y),1 / y) = K(x * y,1 / y). [para(442(a,1),9797(a,1,1)),flip(a)]. 9807 T(x,L(y,x,z)) = T(x,y). [hyper(199,a,4652,a,b,9786,a)]. 9809 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(199,a,8039,a(flip),b,9807,a(flip)),flip(a)]. 9810 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(9807(a,1),105(a,1,2))]. 9812 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(418(a,1),9807(a,1,2))]. 9813 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(9807(a,1),6590(a,1,1,2)),flip(a)]. 9815 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(9803(a,2),4652(a,2,2))]. 9816 K(R(x,y,z),y) != u | K(x,y) = u. [para(9803(a,2),7052(a,1))]. 9819 K(x,R(y,x,z)) != u | K(x,y) = u. [para(8254(a,1),9816(a,1))]. 9820 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(8641(a,2),9819(a,1))]. 9821 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(9144(a,2),9819(a,1))]. 9822 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(9586,a,9798,a)]. 9824 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(199,a,8864,a,b,9798,a(flip)),flip(a)]. 9825 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(199,a,6662,a(flip),b,9798,a(flip)),flip(a)]. 9826 K(x \ y,(x \ y) \ (z / x)) = K(x \ y,z / y). [para(14(a,1),9798(a,1,2,2)),flip(a)]. 9830 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(9810(a,1),1197(a,1,2,2))]. 9831 T(x,R(y,x,z)) = T(x,y). [hyper(199,a,7018,a(flip),b,9815,a)]. 9835 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(454(a,1),9831(a,1,2))]. 9836 K(x,L(y,x,z)) != u | K(x,y) = u. [para(9575(a,1),9821(a,1))]. 9837 K(x \ y,y \ (x * z)) != u | K(x \ y,(x \ y) \ z) = u. [para(409(a,1),9836(a,1,2))]. 9839 K(x,T((x * y) \ z,y)) = K(x,x \ (z / y)). [hyper(7634,a,9822,a)]. 9840 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(9822(a,1),8790(a,1,2))]. 9841 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(13(a,1),9824(a,1,2,1)),flip(a)]. 9842 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(3979(a,1),9841(a,1,2,2))]. 9843 (x * T(y,z)) / (y * z) = R(x / z,z,y). [hyper(69,a,81,a(flip),b,9772,a)]. 9846 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(199,a,5728,a,b,9799,a(flip)),flip(a)]. 9847 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(7049(a,1),9843(a,1,1)),flip(a)]. 9848 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [hyper(5070,a,9755,a)]. 9849 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(3110,a,9755,a)]. 9850 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(17,a,4600,a,b,9757,a)]. 9851 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(199,a,3992,a(flip),b,9850,a)]. 9852 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(9850(a,1),2187(a,1,2,1,1))]. 9853 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(9850(a,2),2187(a,1,1))]. 9854 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),9851(a,1,2))]. 9855 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(9800(a,1),5403(a,1,2,2))]. 9856 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(18,a,4874,a,b,9848,a),flip(a)]. 9857 T(1 / (x \ y),y) = ((1 / (x \ y)) \ x) \ x. [para(14(a,1),9856(a,1,2))]. 9858 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(9849(a,1),4851(a,1,2)),flip(a)]. 9859 K(x,T((y \ z) \ 1,z) \ x) != u | K(x,y \ ((((y \ z) \ 1) \ y) * x)) = u. [para(9854(a,2),6476(a,1,2,1))]. 9860 L(x,T(y,x),z) = L(x,y,z). [hyper(199,a,28,a,b,9813,a),flip(a)]. 9862 L(x,y / x,z) = L(x,x \ y,z). [para(107(a,1),9860(a,1,2)),flip(a)]. 9865 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(199,a,471,a(flip),b,9862,a(flip))]. 9866 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(9862(a,1),6435(a,1,1))]. 9868 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6245,a,9707,a),flip(a)]. 9870 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(14(a,1),9868(a,1,1,2)),flip(a)]. 9871 K(x / y,(x / y) \ z) = K(y \ x,(y * z) / x). [hyper(199,a,7238,a(flip),b,9709,a)]. 9872 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(199,a,5180,a(flip),b,9726,a(flip))]. 9873 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6029(a,1),9728(a,2,2))]. 9874 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5364,a,9729,a)]. 9875 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(4342(a,1),9730(a,1,2,2,1,2))]. 9876 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(9730(a,1),6381(a,1,1)),flip(a)]. 9877 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(199,a,9150,a(flip),b,9795,a)]. 9878 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(9795(a,2),225(a,1,2))]. 9880 K(x,y) * ((x * y) * z) = (y * x) * z. [hyper(5045,a,9877,a)]. 9881 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(499,a,9877,a)]. 9882 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(270,a,9877,a),flip(a)]. 9883 K(x,y) * ((y * x) * T(z,x * y)) = z * (x * y). [hyper(199,a,105,a(flip),b,9877,a)]. 9885 L(x \ (T(y,x) \ z),x,y) = (x * y) \ z. [hyper(5102,a,9881,a)]. 9886 (x * y) \ (T(x,y) * R(T(z,x),u,w)) = (y * x) \ (R(z,u,w) * x). [para(5003(a,1),9881(a,1,2))]. 9887 L(R(x \ (T(y,x) \ z),u,w),x,y) = R((x * y) \ z,u,w). [para(9885(a,1),44(a,1,1)),flip(a)]. 9888 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(199,a,8785,a(flip),b,9825,a(flip))]. 9889 K(x \ y,y \ (x * (z / x))) = K(x \ y,z / y). [hyper(199,a,9736,a(flip),b,9826,a(flip)),flip(a)]. 9890 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6051(a,1),9858(a,2,2))]. 9891 x * K(y \ z,(y * x) / z) = (z / y) * (x / (z / y)). [para(9871(a,1),4851(a,1,2))]. 9892 T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). [hyper(17,a,9780,a,b,9883,a),flip(a)]. 9893 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(199,a,9841,a(flip),b,9888,a(flip))]. 9894 K(x \ y,(x * z) / y) = K(x \ y,y \ (z * x)). [para(194(a,1),9889(a,1,2,2)),flip(a)]. 9895 T(x * (y * z),K(y,y * z)) = (y * z) * T(x,z * y). [hyper(7894,a,9892,a)]. 9896 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(9893(a,1),5735(a,1))]. 9897 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(199,a,4216,a(flip),b,9753,a(flip))]. 9899 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1196(a,1),9897(a,1,2,1))]. 9900 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(9899(a,1),63(a,1,1)),flip(a)]. 9901 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(273,a,9900,a)]. 9902 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(73,a,9900,a)]. 9903 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(9900(a,1),3146(a,1,2)),flip(a)]. 9904 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(199,a,8430,a(flip),b,9788,a(flip))]. 9907 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(199,a,9083,a(flip),b,9904,a(flip)),flip(a)]. 9908 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(827(a,1),9904(a,1,1)),flip(a)]. 9909 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(3582(a,1),9847(a,1,1))]. 9911 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9170(a,1),9909(a,1,1)),flip(a)]. 9913 K(T(x,y),T(x,y) \ (y \ z)) = K(x,T((x * y) \ z,y)). [hyper(199,a,7141,a(flip),b,9717,a)]. 9914 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4655,a,9840,a),flip(a)]. 9915 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(199,a,5403,a(flip),b,9855,a(flip))]. 9916 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(199,a,5618,a(flip),b,9915,a(flip))]. 9917 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(7631,a,9916,a),flip(a)]. 9919 x * K(y \ z,z \ (x * y)) = (z / y) * (x / (z / y)). [para(9894(a,1),9891(a,1,2))]. 9920 T(x,T(y * z,y)) = T(x,z * y). [hyper(6177,a,9895,a)]. 9921 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(199,a,7812,a,b,9920,a(flip)),flip(a)]. 9922 T(x,y / (y / (y * z))) = T(x,z * y). [hyper(199,a,7073,a,b,9920,a(flip)),flip(a)]. 9923 T(x,(y \ z) * y) = T(x,T(z,y)). [para(14(a,1),9920(a,1,2,1)),flip(a)]. 9924 T(x,T((y / z) * u,y / T(z,(y / z) * u))) = T(x,u * (y / z)). [para(7290(a,2),9920(a,1,2))]. 9926 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(5279,a,9921,a)]. 9927 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(9921(a,1),339(a,1,1))]. 9928 T(x,y / (y / (y * z))) = x * K(x,z * y). [hyper(199,a,4652,a(flip),b,9922,a)]. 9929 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(9926(a,1),339(a,1))]. 9930 K(x,y / (y / (y * z))) = K(x,z * y). [hyper(4708,a,9928,a)]. 9931 K(x,T(y * z,y)) = K(x,z * y). [hyper(7425,a,9930,a)]. 9933 K(x,T(y * z,z)) = K(x,z * y). [hyper(8227,a,9931,a)]. 9934 K(x / y,y * z) = K(y \ x,z * y). [hyper(7197,a,9931,a)]. 9935 K(x / y,x * z) = K(y \ x,z * x). [hyper(7122,a,9931,a)]. 9936 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),9931(a,1,2,1)),flip(a)]. 9937 K(x,y * z) * y = y * K(x,z * y). [para(9931(a,1),7105(a,1,2)),flip(a)]. 9938 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(9931(a,1),7151(a,2,2))]. 9939 K(x,y * z) * K(x,z * y) = K(x,K(z,z * y)). [para(9931(a,1),7796(a,1,1))]. 9940 K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. [para(9931(a,1),7973(a,1))]. 9941 K(x,T(K(y,z) * u,y * z)) = K(x,((z * y) \ u) * (y * z)). [para(9882(a,1),9931(a,1,2,1))]. 9942 K(x,T(y * z,z)) = K(z * y,x). [hyper(199,a,4738,a,b,9933,a)]. 9943 K(x,y * (z / y)) = K(x,T(z,y)). [para(16(a,1),9933(a,1,2,1)),flip(a)]. 9945 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4398(a,1),9936(a,1,2)),flip(a)]. 9946 K(x * y,T(z,y)) = K(y * x,z). [hyper(7193,a,9942,a)]. 9947 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(9942(a,2),4862(a,1))]. 9948 K(x * y,T(z,x)) = K(y * x,z). [hyper(7168,a,9946,a),flip(a)]. 9949 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),9946(a,1,1)),flip(a)]. 9950 K(x * y,T(T(z,x),u)) = K(y * x,T(z,u)). [para(110(a,1),9946(a,1,2)),flip(a)]. 9951 K(x * y,z) * y = y * K(y * x,z). [para(9946(a,1),7105(a,1,2)),flip(a)]. 9952 K(x * y,z) * x = x * K(y * x,z). [para(9946(a,1),7106(a,1,1))]. 9954 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),9948(a,1,1)),flip(a)]. 9955 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(166(a,2),9948(a,2,1)),flip(a)]. 9956 K(x,T(y,z)) * (z * (x / z)) = T(z * (x / z),y). [para(9949(a,1),4660(a,2,1)),flip(a)]. 9957 K((x \ y) * x,T(y,z)) = 1. [hyper(199,a,371,a(flip),b,9954,a)]. 9958 K(x \ y,((y / x) \ (y \ z)) * y) = K(y / x,(y / x) \ z). [hyper(199,a,9706,a(flip),b,9935,a(flip))]. 9959 K(T(x \ y,x) * x,y) = 1. [hyper(199,a,9957,a(flip),b,9955,a)]. 9960 x * K(T(y \ z,y) * y,z) = x. [para(9959(a,2),12(a,1,2))]. 9962 K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. [para(7918(a,1),9947(a,1))]. 9963 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8226(a,1),9947(a,1))]. 9965 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(9945(a,1),4925(a,1))]. 9966 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [para(586(a,1),9950(a,1,2,1))]. 9967 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(5286(a,1),9929(a,1,1,2))]. 9968 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(7129(a,1),9929(a,1,1,2))]. 9969 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(7817(a,1),9929(a,1,1,2))]. 9970 K(x,y * z) * K(x,z * y) = K(x,K(z,y)). [hyper(199,a,7817,a(flip),b,9939,a)]. 9971 K(x,y * z) * K(x,K(z,y)) = K(x,z * y). [hyper(5045,a,9970,a)]. 9972 K(x,y * z) * K(x,K(z,y)) != u | K(x,z * y) = u. [para(9970(a,1),5042(a,1,2)),flip(b)]. 9973 K(x,K(y,z)) * K(x,z * y) = K(x,y * z). [hyper(4839,a,9971,a)]. 9974 K(x,((y / z) \ 1) * u) * K(x,K(u,z / y)) = K(x,u * ((y / z) \ 1)). [para(5235(a,1),9971(a,1,2,2))]. 9975 K(x,K(y,z)) * K(y,z * x) = K(y,x * z). [para(7732(a,1),9973(a,1,1))]. 9976 K(x,K(y,T(z,u))) * K(y,(u * (z / u)) * x) = K(y,x * (u * (z / u))). [para(9943(a,1),9975(a,1,1,2))]. 9977 T(x,T(y,z)) * K(z,z \ x) = T(z * (x / z),y). [hyper(5358,a,9956,a)]. 9978 T(x * (y / x),z) * K(x,x \ y) != u | T(y,T(z,x)) = u. [para(9977(a,1),6273(a,1,1)),flip(b)]. 9979 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(9962,a,9116,a)]. 9981 K(T(x,y),T(x,y) \ (y \ z)) = K(x,x \ (z / y)). [hyper(199,a,9839,a(flip),b,9913,a)]. 9982 K(x,T(T(x,y) \ (y \ z),y)) = K(x,x \ (z / y)). [hyper(7382,a,9981,a)]. 9983 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [hyper(199,a,7520,a(flip),b,9982,a(flip)),flip(a)]. 9985 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [para(13(a,1),9983(a,1,2,1,2)),flip(a)]. 9986 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [para(185(a,2),9985(a,1,2,2))]. 9987 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(199,a,4421,a,b,9986,a(flip)),flip(a)]. 9988 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(9794(a,1),9846(a,1,1))]. 9990 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(9878(a,1),4787(a,1))]. 9991 L(x,y * z,K(z,y)) = x. [hyper(9990,a,9151,a)]. 9992 L(x,T(y,z),z) = L(x,y,z). [hyper(6657,a,9991,a)]. 9993 L(L(x,y,z),u * w,K(w,u)) = L(x,T(y,z),z). [hyper(199,a,9991,a,b,9992,a),flip(a)]. 9994 L(x,y,T(z,y)) = L(x,y,z). [hyper(199,a,5653,a(flip),b,9992,a(flip)),flip(a)]. 9995 L(x,y / z,z) = L(x,z \ y,z). [para(107(a,1),9992(a,1,2)),flip(a)]. 9998 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(9992(a,1),399(a,1,2))]. 10001 L(x,y,z / y) = L(x,y,y \ z). [para(107(a,1),9994(a,1,3)),flip(a)]. 10003 (x * y) * L(z,x,y) = T(y,x) * (x * z). [para(9994(a,1),400(a,1,2))]. 10004 L(x,y,K(z,T(u,y))) = L(x,y,K(z,u)). [para(7084(a,2),9994(a,1,3))]. 10005 L(1 / (x / y),y \ x,y) \ 1 = 1 / ((y * (x / y)) \ y). [para(9995(a,1),2629(a,1,1))]. 10007 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(199,a,410,a(flip),b,10001,a(flip))]. 10008 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(79,a,9998,a)]. 10009 K(x,T(y * (T(z,y) * u),L(u,z,y))) != w | K(x,L(u,z,y) * (z * y)) = w. [para(9998(a,1),9947(a,1,2,1))]. 10010 ((x * y) * L(R(x \ (T(y,x) \ (z * x)),u,w),x,y)) / x = T(y,x) * R(T(y,x) \ z,u,w). [hyper(69,a,10003,a,b,1671,a(flip))]. 10011 (x * K(y,z)) * L(u,x,K(y,z)) = K(y,T(z,x)) * (x * u). [hyper(7979,a,10003,a(flip)),flip(a)]. 10012 K(x,K(y,(y / z) * u)) * K(x,L(z \ u,z,z \ y)) = K(x,((y / z) * u) / y). [para(10007(a,2),8112(a,1,2,2))]. 10014 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(9993(a,1),6640(a,1)),flip(b)]. 10015 L(x,y \ z,y) != u | L(x,z / y,y) = u. [para(107(a,1),10014(a,1,2))]. 10016 L(x,y / z,z) != u | L(x,z \ y,z) = u. [para(170(a,1),10014(a,1,2))]. 10017 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(5653(a,1),10014(a,1))]. 10023 T(x \ T(y,y \ x),x / y) != z | L(1 / (x / y),y \ x,y) = z. [para(5523(a,2),10016(a,1))]. 10024 x * (T(y,z) / T(x,x \ y)) = T(y,T(z,x)). [hyper(9978,a,8562,a),flip(a)]. 10025 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(199,a,9731,a(flip),b,9842,a(flip))]. 10026 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(3944(a,1),9886(a,1,2))]. 10027 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(101(a,1),10026(a,2,2))]. 10028 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(199,a,7323,a(flip),b,9908,a)]. 10029 T(x,T((y / z) * u,y / T(z,(z \ y) * u))) = T(x,u * (y / z)). [para(6840(a,1),9924(a,1,2,2,2))]. 10030 L(1 / (x / y),y \ x,y) = T((x \ y) \ 1,y) \ 1. [hyper(10023,a,6737,a)]. 10031 (T((x \ y) \ 1,y) \ 1) \ 1 = 1 / ((y * (x / y)) \ y). [para(10030(a,1),10005(a,1,1))]. 10032 T((((x \ y) \ 1) \ 1) \ 1,y) = 1 / ((y * (x / y)) \ y). [hyper(6949,a,10031,a)]. 10033 1 / ((x * (y / x)) \ x) = T(1 / (y \ x),x). [para(3915(a,1),10032(a,1,1)),flip(a)]. 10034 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(199,a,574,a(flip),b,10028,a)]. 10035 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(7606,a,10034,a)]. 10037 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9416,a,10035,a)]. 10038 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(199,a,6036,a(flip),b,9760,a(flip)),flip(a)]. 10040 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(9876(a,2),8442(a,1))]. 10041 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(199,a,9058,a(flip),b,9966,a(flip))]. 10042 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(199,a,7138,a(flip),b,10041,a)]. 10043 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(7388,a,10042,a)]. 10044 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(199,a,8092,a,b,10043,a(flip)),flip(a)]. 10045 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(9422,a,9792,a)]. 10046 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(199,a,40,a,b,9812,a(flip)),flip(a)]. 10047 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(199,a,42,a,b,9835,a(flip)),flip(a)]. 10048 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(9859,a,8214,a),flip(a)]. 10049 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(199,a,8518,a(flip),b,10048,a(flip)),flip(a)]. 10050 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(51(a,1),10049(a,1,2,1))]. 10051 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(199,a,8841,a(flip),b,10050,a),flip(a)]. 10052 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(199,a,9907,a(flip),b,10045,a(flip))]. 10054 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(8732(a,1),10046(a,1,1))]. 10055 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(199,a,3940,a(flip),b,10047,a)]. 10056 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(9809(a,1),10054(a,1,1)),flip(a)]. 10057 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10056(a,1),5073(a,1,2,1))]. 10059 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(199,a,42,a,b,10055,a)]. 10060 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(9914(a,1),10059(a,1,1))]. 10061 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),10060(a,1,1,2,2)),flip(a)]. 10062 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(503,a,10061,a),flip(a)]. 10063 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(10061(a,1),5083(a,1,2,1))]. 10064 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(199,a,919,a(flip),b,10062,a(flip)),flip(a)]. 10065 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),10062(a,1,1,2)),flip(a)]. 10066 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(63(a,1),10064(a,1,1,1)),flip(a)]. 10069 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5414(a,1),10064(a,2,1))]. 10071 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(10066(a,1),6526(a,1,2,1)),flip(a)]. 10072 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1501(a,1),10065(a,1,1)),flip(a)]. 10073 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(199,a,161,a(flip),b,10072,a)]. 10074 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),10073(a,2,1))]. 10075 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(199,a,611,a(flip),b,10074,a)]. 10076 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(10075(a,1),4609(a,1,1))]. 10077 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(4859,a,10076,a),flip(a)]. 10078 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(7411,a,10077,a)]. 10079 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(199,a,9089,a,b,10078,a)]. 10080 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(199,a,5121,a(flip),b,10057,a(flip))]. 10081 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(10080(a,1),9176(a,1,2)),flip(a)]. 10082 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5809,a,10063,a),flip(a)]. 10085 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(10082(a,1),4585(a,1,1,2))]. 10086 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(105(a,1),9830(a,1,1,1))]. 10087 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1464,a,10086,a),flip(a)]. 10088 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(105(a,1),10087(a,1,2))]. 10089 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(6861,a,10088,a),flip(a)]. 10091 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10089(a,1),6381(a,1,1))]. 10092 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(8442,a,10091,a),flip(a)]. 10093 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10092(a,1),9681(a,1,1))]. 10094 L(K(x,x * y),y,z) = K(x,x * y). [para(8341(a,1),10093(a,1,1))]. 10096 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(7068,a,10094,a)]. 10097 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(199,a,9678,a(flip),b,10094,a(flip)),flip(a)]. 10098 K(x,y \ ((y * z) * x)) = K(x,x * z). [hyper(199,a,9677,a(flip),b,10094,a(flip)),flip(a)]. 10100 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(9658,a,10097,a)]. 10101 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(7933,a,10097,a)]. 10104 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10097(a,1),6381(a,1,1))]. 10105 K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. [para(10097(a,1),6409(a,1))]. 10107 K(x,y \ ((y * z) * x)) = K(x,z * x). [hyper(199,a,5255,a,b,10098,a)]. 10108 L(K(x,y * x),y,z) = K(x,y * x). [hyper(199,a,9679,a,b,10107,a(flip)),flip(a)]. 10110 a(x,y,K(z,y * z)) = 1. [hyper(67,a,10108,a,b,8998,a),flip(a)]. 10111 a(x,y,K(y * z,z)) = 1. [hyper(67,a,10108,a(flip),b,8988,a),flip(a)]. 10112 L(K(x * y,y),x,z) = K(x * y,y). [hyper(33,a,10111,a)]. 10113 a(x,y,K(z,y \ z)) = 1. [para(14(a,1),10111(a,1,3,1))]. 10114 L(K(x * y,y),x,z) = K(y * x,y). [hyper(199,a,5337,a(flip),b,10112,a)]. 10115 K(x \ (y * (x * z)),y) = K(z * y,y). [hyper(199,a,9673,a(flip),b,10112,a(flip)),flip(a)]. 10116 L(K(x * y,x),y,z) = K(x * y,x). [para(5337(a,1),10114(a,1,1))]. 10117 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(199,a,9668,a(flip),b,10116,a(flip)),flip(a)]. 10119 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(9666,a,10117,a)]. 10120 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(7968,a,10117,a)]. 10121 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(7400,a,10117,a)]. 10123 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(10117(a,1),5410(a,1,1,1,2))]. 10124 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(10117(a,1),7967(a,1))]. 10125 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(10117(a,1),9174(a,1,2))]. 10129 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10096(a,1),4652(a,2,2))]. 10130 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10119(a,1),5411(a,1,1,1,2))]. 10131 T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. [para(10129(a,2),4655(a,1))]. 10132 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(10125(a,1),9198(a,1))]. 10133 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(8442,a,10104,a),flip(a)]. 10134 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(8977,a,10133,a)]. 10135 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(199,a,9624,a(flip),b,10134,a(flip))]. 10136 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(199,a,5410,a(flip),b,10123,a(flip))]. 10137 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(199,a,6407,a,b,10136,a(flip)),flip(a)]. 10138 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(199,a,10052,a(flip),b,9748,a(flip)),flip(a)]. 10139 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(199,a,10037,a(flip),b,10138,a(flip)),flip(a)]. 10140 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(199,a,10120,a(flip),b,10139,a(flip)),flip(a)]. 10141 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(199,a,9077,a(flip),b,10140,a)]. 10142 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(7411,a,10141,a)]. 10143 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(199,a,10052,a(flip),b,9749,a(flip)),flip(a)]. 10144 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(199,a,10037,a(flip),b,10143,a(flip)),flip(a)]. 10145 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(199,a,6329,a(flip),b,10144,a(flip)),flip(a)]. 10146 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7411,a,10145,a)]. 10147 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(199,a,8978,a(flip),b,10146,a)]. 10148 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(51(a,1),10147(a,2,1))]. 10149 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(199,a,10142,a(flip),b,10148,a(flip)),flip(a)]. 10150 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(10148(a,1),9176(a,1,1))]. 10151 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(199,a,9077,a,b,10149,a(flip)),flip(a)]. 10152 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(199,a,8976,a,b,10149,a(flip)),flip(a)]. 10153 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(199,a,8272,a(flip),b,10149,a(flip))]. 10154 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(199,a,8978,a,b,10152,a(flip)),flip(a)]. 10155 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(199,a,5899,a(flip),b,10069,a)]. 10156 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(5897(a,1),10155(a,1,1)),flip(a)]. 10157 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(32(a,2),10081(a,2,2,2))]. 10158 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(5405(a,1),10085(a,1,1))]. 10159 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(199,a,42,a,b,10158,a(flip)),flip(a)]. 10160 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4585(a,1),10159(a,1,1)),flip(a)]. 10161 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(199,a,44,a(flip),b,10160,a)]. 10162 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(10161(a,1),1082(a,1,1,1)),flip(a)]. 10163 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(199,a,5449,a(flip),b,9756,a(flip))]. 10165 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(199,a,7537,a(flip),b,10163,a(flip)),flip(a)]. 10166 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(199,a,5449,a(flip),b,10163,a(flip))]. 10168 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6301,a,10130,a),flip(a)]. 10170 ((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(6018(a,1),9643(a,1,1,1))]. 10171 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(2889(a,1),9733(a,1,1)),flip(a)]. 10172 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(199,a,5175,a,b,10171,a)]. 10173 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(5812,a,10172,a)]. 10174 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10173(a,1),4796(a,2,2))]. 10175 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(9805(a,1),10174(a,2,2))]. 10176 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(9872(a,1),10175(a,2,2))]. 10177 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(199,a,2315,a(flip),b,10176,a)]. 10178 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(60(a,1),10177(a,1,1))]. 10179 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(60(a,1),10178(a,1,2,1)),flip(a)]. 10180 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5109(a,1),10179(a,1,1))]. 10181 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(10180(a,2),2035(a,1,2))]. 10182 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10180(a,2),9591(a,2,1,1,2,1)),flip(a)]. 10183 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(1761(a,2),10170(a,1,1))]. 10184 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(199,a,8640,a(flip),b,10181,a(flip)),flip(a)]. 10185 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2716(a,2),10184(a,2,1))]. 10186 T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | (x / ((x \ y) \ 1)) / x = z. [para(10185(a,2),253(a,1)),flip(b)]. 10187 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(2964(a,1),10183(a,1,1,1,1,2))]. 10188 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(8596(a,1),10187(a,1,1,1))]. 10189 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(766,a,10188,a),flip(a)]. 10191 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(2972(a,2),10189(a,1,1,2))]. 10192 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(6456,a,10191,a)]. 10193 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(396(a,1),5314(a,1,2))]. 10194 K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. [para(163(a,1),10193(a,1,2,2))]. 10195 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(4628(a,1),10194(a,1,2,2))]. 10197 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(10195(a,1),7997(a,1,2,1)),flip(a)]. 10198 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10195(a,1),8260(a,1,2)),flip(a)]. 10199 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10195(a,1),8787(a,1,2,2,1)),flip(a)]. 10200 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(199,a,9504,a(flip),b,10197,a(flip)),flip(a)]. 10201 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(199,a,9483,a(flip),b,10198,a(flip))]. 10203 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(199,a,8548,a(flip),b,10201,a(flip))]. 10204 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10203(a,1),4780(a,2,2,2))]. 10205 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10204(a,2),4781(a,1))]. 10206 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10205,a,9493,a),flip(a)]. 10208 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5150,a,10206,a)]. 10210 K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). [para(4738(a,1),10200(a,1,2,2,1))]. 10211 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),10210(a,2,2))]. 10212 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(14(a,1),10211(a,1,2,2)),flip(a)]. 10213 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10211(a,1),5009(a,1,2,2)),flip(a)]. 10214 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(199,a,5009,a(flip),b,10213,a)]. 10215 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4618(a,1),10214(a,1,1,2)),flip(a)]. 10216 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(199,a,9569,a(flip),b,10215,a(flip)),flip(a)]. 10217 (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(7716(a,1),6327(a,1,2,2))]. 10218 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(1502(a,1),6335(a,1,2,2,1))]. 10219 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(5576(a,1),9005(a,1,2))]. 10220 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(5594(a,1),10219(a,2,3))]. 10221 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(5363,a,9606,a)]. 10222 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(4738(a,1),9674(a,2,2,2))]. 10223 ((x * y) * R((x * y) \ (z * x),u,w)) / x = T(y,x) * R(T(y,x) \ z,u,w). [para(9887(a,1),10010(a,1,1,2))]. 10224 (x * (y * R(y \ (x \ (z * x)),u,w))) / x = T(y,x) * R(T(y,x) \ z,u,w). [para(887(a,1),10223(a,1,1))]. 10225 (x * (y * R(y \ T(z,x),u,w))) / x = T(y,x) * R(T(y,x) \ z,u,w). [para(32(a,2),10224(a,1,1,2,2,1,2))]. 10226 T(x * R(x \ T(y,z),u,w),z) = T(x,z) * R(T(x,z) \ y,u,w). [hyper(266,a,10225,a)]. 10227 (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(7084(a,2),10217(a,2,1,1))]. 10228 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(5732(a,1),10218(a,1,2,2,1,2))]. 10229 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(4598(a,2),10228(a,1,2,2,1))]. 10230 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7084(a,2),10229(a,1,2,2))]. 10231 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [hyper(1497,a,10230,a),flip(a)]. 10232 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [hyper(199,a,7499,a(flip),b,10231,a)]. 10233 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(199,a,8182,a(flip),b,10232,a(flip)),flip(a)]. 10234 T(x,T(y,z)) \ R(x,y,x) != u | K(y * x,T(x,z)) = u. [para(10233(a,1),7971(a,1))]. 10235 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(10234,a,9182,a),flip(a)]. 10236 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(7169(a,1),10235(a,1,1))]. 10237 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(10235(a,1),9215(a,1,1))]. 10238 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(3025(a,1),10237(a,1,2))]. 10239 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(7196,a,10238,a)]. 10240 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(199,a,9461,a(flip),b,10239,a(flip)),flip(a)]. 10241 T(x,T(x * y,z)) * K(y,T(x,z)) = L(x,y,x). [para(4416(a,1),10239(a,1,1))]. 10243 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(199,a,4493,a(flip),b,10240,a(flip)),flip(a)]. 10244 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(107(a,1),10243(a,1,2,1)),flip(a)]. 10245 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(199,a,3027,a(flip),b,10241,a(flip)),flip(a)]. 10246 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [hyper(199,a,4541,a,b,10245,a)]. 10247 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(9948(a,1),10245(a,1,1))]. 10248 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [hyper(5962,a,10246,a)]. 10249 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(7160,a,10248,a)]. 10250 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10249(a,1),8374(a,1,2))]. 10251 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(9515(a,1),10250(a,1,1,2))]. 10252 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(7936,a,10221,a)]. 10253 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(7817(a,1),10222(a,2,2))]. 10254 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(7098(a,1),10253(a,1,1)),flip(a)]. 10255 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [hyper(9696,a,10254,a(flip)),flip(a)]. 10256 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(10115(a,1),10255(a,1,1)),flip(a)]. 10257 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [para(5337(a,1),10256(a,2,1))]. 10259 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(199,a,7821,a(flip),b,10257,a)]. 10260 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(14(a,1),10259(a,1,1,1,2)),flip(a)]. 10261 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(199,a,5753,a,b,10260,a(flip)),flip(a)]. 10262 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(199,a,10236,a,b,10261,a(flip)),flip(a)]. 10263 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5037,a,10262,a)]. 10264 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(199,a,5306,a,b,10263,a(flip)),flip(a)]. 10265 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4094(a,2),10264(a,1,2))]. 10266 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(3865(a,2),10265(a,1,2))]. 10267 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(199,a,355,a(flip),b,10266,a(flip)),flip(a)]. 10268 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(199,a,9231,a(flip),b,10267,a(flip)),flip(a)]. 10269 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(15(a,1),10268(a,1,2,1)),flip(a)]. 10271 (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(7170(a,1),10227(a,2,1))]. 10272 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(199,a,8380,a(flip),b,10271,a)]. 10275 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(5917(a,2),10272(a,1,1))]. 10276 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7279(a,1),10275(a,1,2,2))]. 10277 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(12(a,1),10276(a,1,2))]. 10278 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5030,a,10277,a)]. 10279 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(6446(a,1),10278(a,1,1))]. 10280 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(199,a,6905,a(flip),b,10279,a)]. 10281 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(199,a,6596,a(flip),b,10280,a(flip)),flip(a)]. 10282 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(10281(a,1),5564(a,1,1,1,2))]. 10283 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4652(a,2),10282(a,1,1,1))]. 10284 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(5278,a,10283,a)]. 10285 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(10284(a,1),9558(a,1,1))]. 10286 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(9665(a,1),10285(a,1,1,2,2))]. 10287 (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(199,a,6228,a(flip),b,4930,a)]. 10288 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(5763(a,1),5765(a,1,1))]. 10289 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(5760(a,1),10288(a,2,2))]. 10290 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7591(a,1),10289(a,1,1,1))]. 10291 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(10290(a,1),60(a,1,2))]. 10293 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(3913,a,10291,a)]. 10294 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(5762(a,1),10293(a,1,1))]. 10295 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7084(a,2),10294(a,2,1))]. 10296 ((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(7652(a,1),10295(a,2,1))]. 10297 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(6211,a,8212,a)]. 10298 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9170(a,1),10297(a,1,3))]. 10299 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10298(a,1),350(a,1,1)),flip(a)]. 10300 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10299(a,1),9193(a,1,1))]. 10301 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(10300(a,1),1781(a,1,1)),flip(a)]. 10302 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(199,a,7315,a(flip),b,6505,a)]. 10303 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(234(a,1),10302(a,2,1,2))]. 10304 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1463(a,1),10303(a,1,2)),flip(a)]. 10305 a(x,L(y,z,u),K(w,y)) = 1. [hyper(67,a,10304,a,b,8998,a),flip(a)]. 10306 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(199,a,6400,a(flip),b,10304,a(flip)),flip(a)]. 10307 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(199,a,6368,a(flip),b,10304,a(flip))]. 10308 (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(4626(a,1),8303(a,1,1))]. 10309 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(597,a,10308,a),flip(a)]. 10310 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(10308(a,1),597(a,1))]. 10311 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4896(a,1),10309(a,1,2)),flip(a)]. 10312 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1395(a,2),8367(a,2,1))]. 10313 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(9374(a,1),8383(a,1,1))]. 10314 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(9334(a,1),9337(a,2,2,1,1))]. 10315 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(4912(a,1),10314(a,2,2,1))]. 10317 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4912(a,1),10315(a,1,1,2,1))]. 10318 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(199,a,5027,a(flip),b,10317,a(flip)),flip(a)]. 10319 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(10317(a,1),425(a,1,1,1)),flip(a)]. 10320 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(10317(a,2),6646(a,1,1))]. 10322 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(7717(a,1),10320(a,1,1,1,2,1))]. 10323 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(199,a,6253,a(flip),b,9339,a)]. 10324 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(199,a,10080,a(flip),b,9875,a(flip)),flip(a)]. 10325 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10040,a,10324,a)]. 10326 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(199,a,10100,a(flip),b,10325,a(flip)),flip(a)]. 10327 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),10326(a,1,2,2,1))]. 10328 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(199,a,5502,a(flip),b,10327,a)]. 10329 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(199,a,10168,a(flip),b,10328,a)]. 10330 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),10329(a,2,2,2,1))]. 10331 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(199,a,4289,a(flip),b,9903,a)]. 10332 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(199,a,1206,a(flip),b,10331,a)]. 10333 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1949(a,1),10332(a,1,2))]. 10334 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(68,a,4559,a(flip),b,10333,a)]. 10335 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(7184(a,1),10157(a,2,2))]. 10336 (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(6228(a,1),10287(a,1,1))]. 10337 (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(4130(a,1),10296(a,1,1))]. 10338 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(199,a,9346,a(flip),b,10313,a(flip))]. 10339 (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(4912(a,1),10336(a,1,2,2,1)),flip(a)]. 10340 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(199,a,8919,a(flip),b,10339,a)]. 10341 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(6243,a,10340,a)]. 10343 (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(7106(a,1),10337(a,1,1,2))]. 10344 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8242,a,10343,a),flip(a)]. 10346 R(K(x,y),L(y,z,u),w) = K(x,y). [para(8425(a,1),10344(a,1,1))]. 10347 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(199,a,5844,a(flip),b,10346,a(flip)),flip(a)]. 10349 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(199,a,6093,a(flip),b,10347,a)]. 10350 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(199,a,9611,a,b,10349,a(flip)),flip(a)]. 10351 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(10350(a,1),6167(a,1))]. 10352 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7141(a,1),10338(a,2,2,1))]. 10353 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12(a,1),10352(a,2,2))]. 10354 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(199,a,2126,a(flip),b,5520,a(flip))]. 10356 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5825(a,1),10354(a,1,1,2,1,2))]. 10357 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6300,a,8188,a),flip(a)]. 10358 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(4800(a,1),10357(a,1,2)),flip(a)]. 10359 (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(1571(a,2),9196(a,1,2,2))]. 10360 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),9353(a,1,1,1)),flip(a)]. 10362 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(9338(a,1),10360(a,1,2,1)),flip(a)]. 10364 ((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(10362(a,1),5580(a,1,2,2))]. 10365 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(4967(a,1),10364(a,1,2)),flip(a)]. 10366 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(199,a,4951,a(flip),b,10365,a)]. 10368 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(199,a,5014,a(flip),b,10366,a)]. 10370 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(5579(a,1),10368(a,1,2))]. 10371 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3389(a,1),9603(a,1,1))]. 10372 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(199,a,1082,a(flip),b,10162,a)]. 10373 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(42(a,2),10372(a,2,3))]. 10374 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),10359(a,1,2)),flip(a)]. 10375 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3428(a,2),3593(a,1,1))]. 10376 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4649(a,1),6108(a,1,2,2,1))]. 10378 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(5822(a,1),10376(a,1,2,2))]. 10379 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(138,a,10378,a)]. 10380 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(51(a,1),10379(a,2,1))]. 10381 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(68,a,3031,a(flip),b,10380,a)]. 10382 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(6363(a,1),6427(a,1,1,1))]. 10383 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(199,a,10199,a(flip),b,6627,a(flip))]. 10385 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(199,a,10101,a(flip),b,9595,a(flip))]. 10386 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1001(a,1),9852(a,2,1))]. 10387 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(199,a,10386,a(flip),b,9853,a(flip))]. 10388 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1001(a,1),10387(a,1,1)),flip(a)]. 10389 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(199,a,10330,a(flip),b,10385,a)]. 10390 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(199,a,10135,a(flip),b,10389,a)]. 10392 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2440(a,1),10390(a,1,2))]. 10393 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(10392(a,1),6232(a,1,1,2)),flip(a)]. 10394 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(199,a,6232,a(flip),b,10393,a)]. 10395 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(10394(a,1),6185(a,1,1,2))]. 10396 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(10137(a,1),10395(a,1,1,2))]. 10397 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(51(a,1),10396(a,1,1,2,1,2))]. 10398 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5409(a,1),10397(a,1,1))]. 10399 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(199,a,40,a,b,10398,a(flip)),flip(a)]. 10400 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5226(a,1),10399(a,1,1)),flip(a)]. 10401 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4029,a,10400,a)]. 10402 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(10401(a,1),397(a,1,2))]. 10403 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(10401(a,1),7052(a,1,2))]. 10404 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10216(a,1),10403(a,1))]. 10405 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(392,a,10402,a),flip(a)]. 10406 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(277,a,10405,a),flip(a)]. 10408 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(199,a,4802,a,b,10406,a),flip(a)]. 10411 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(10406(a,1),9267(a,1,2,2)),flip(a)]. 10412 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(10079(a,1),10408(a,1,1,2))]. 10413 K(x * L(y,z,u),y) = K(y * x,y). [hyper(199,a,7225,a(flip),b,10411,a)]. 10415 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(199,a,9186,a,b,10413,a)]. 10416 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(199,a,10306,a(flip),b,10413,a(flip)),flip(a)]. 10418 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(199,a,5163,a(flip),b,10416,a)]. 10419 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(10351,a,10418,a)]. 10420 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(199,a,10307,a(flip),b,10418,a(flip)),flip(a)]. 10421 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(10418(a,1),8929(a,1,1,2))]. 10424 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(199,a,10121,a(flip),b,10420,a)]. 10425 K(x \ (y * L(x,z,u)),x) = K(y,x). [hyper(199,a,4993,a(flip),b,10420,a)]. 10426 K(x / L(y,z,u),y) = K(y \ x,y). [para(16(a,1),10425(a,1,1,2)),flip(a)]. 10427 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(92(a,1),10424(a,1,1,2))]. 10428 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(7948,a,10427,a)]. 10429 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(199,a,8513,a(flip),b,10427,a(flip)),flip(a)]. 10430 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(199,a,10153,a,b,10429,a(flip)),flip(a)]. 10431 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(10124,a,10428,a(flip)),flip(a)]. 10432 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(199,a,9050,a(flip),b,10431,a(flip)),flip(a)]. 10433 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),10432(a,2,1))]. 10434 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(10404,a,10433,a),flip(a)]. 10435 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(9866,a,10434,a)]. 10436 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(10434(a,1),9866(a,1))]. 10437 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(8442,a,10435,a),flip(a)]. 10438 L(K(x,y),y * z,u) = L(K(x,y),z,u). [hyper(199,a,8268,a,b,10435,a),flip(a)]. 10439 L(K(x,y \ z),z,u) = L(K(x,y \ z),y,u). [hyper(199,a,6388,a,b,10435,a),flip(a)]. 10440 L(K(x,y),z * y,u) = L(K(x,y),z,u). [hyper(199,a,6387,a,b,10435,a),flip(a)]. 10441 L(K(x,y),z,u) = K(L(y,z,u),x). [hyper(199,a,4738,a,b,10435,a)]. 10442 L(K(x,y),z,u) = K(y,L(x,z,u)). [hyper(199,a,5777,a,b,10435,a(flip)),flip(a)]. 10443 L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). [para(40(a,1),10435(a,2,2))]. 10444 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(10435(a,1),92(a,1,2))]. 10445 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(198(a,1),10435(a,2,2))]. 10446 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(409(a,1),10435(a,2,2))]. 10447 L(K(x,T(y,z) \ u),T(y,z),z) = K(x,(y * z) \ (z * u)). [para(413(a,1),10435(a,2,2))]. 10448 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(10435(a,1),389(a,1,2,2))]. 10449 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(10435(a,1),1202(a,1,2,1))]. 10451 K(x,L(T(y \ z,z),u,w)) = L(K(x,z / y),u,w). [para(7009(a,1),10435(a,1,1)),flip(a)]. 10452 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(10435(a,1),8986(a,1,2))]. 10453 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(10435(a,1),8989(a,1,1))]. 10454 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(10435(a,1),8991(a,1,2))]. 10455 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(199,a,5777,a,b,10441,a(flip)),flip(a)]. 10456 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(10441(a,2),4862(a,1))]. 10457 T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). [para(10441(a,2),5271(a,1,2))]. 10458 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(199,a,10441,a(flip),b,10442,a(flip)),flip(a)]. 10459 L(K(x,y),z,u) * y = T(y,L(x,z,u)). [para(10442(a,2),4660(a,2,1)),flip(a)]. 10460 L(K(x,y),z,u) * y != w | T(y,L(x,z,u)) = w. [para(10442(a,2),4661(a,1,1))]. 10461 L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. [para(10442(a,2),4862(a,1))]. 10462 L(K(x,y),x * z,u) = L(K(x,y),z,u). [hyper(199,a,8338,a,b,10455,a),flip(a)]. 10463 L(K(x,y),x \ z,u) = L(K(x,y),z,u). [hyper(199,a,8339,a(flip),b,10455,a)]. 10464 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(407(a,1),10455(a,2,1))]. 10465 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(10455(a,1),8983(a,1,2))]. 10466 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [para(10455(a,1),8998(a,1,1))]. 10467 L(K(x,y),x \ z,u) != w | L(K(x,y),z,u) = w. [para(10455(a,2),9866(a,1))]. 10468 (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. [para(10458(a,1),6264(a,1,2))]. 10469 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(199,a,10458,a(flip),b,10437,a)]. 10471 L(K(x * y,x),y,z) != u | K(x * y,x) = u. [para(10438(a,1),6028(a,1))]. 10472 L(K(x,x * y),y,z) != u | K(x,x * y) = u. [para(10462(a,1),7397(a,1))]. 10473 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),10469(a,1,2,2))]. 10474 K(L(x,y,z),u) != w | L(K(u,x),y,z) = w. [para(4738(a,1),10436(a,1))]. 10475 K(x,y \ (T(z,z \ y) * u)) != w | L(K(x,(y / z) \ u),z \ y,z) = w. [para(5818(a,1),10436(a,1,2))]. 10476 K(x,K(y,L(z,u,w))) != v5 | L(K(x,K(y,z)),u,w) = v5. [para(8133(a,1),10436(a,1))]. 10477 L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(10442(a,2),10436(a,1))]. 10478 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(10458(a,2),10436(a,1))]. 10480 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(6389(a,2),10456(a,1))]. 10482 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(7716(a,2),10478(a,1))]. 10483 L(K(x,(y \ z) \ u),y \ z,y) != w | K(x,z \ (y * u)) = w. [para(10439(a,1),6475(a,1))]. 10484 L(K(x,y \ (z \ u)),y,z) != w | K(x,(z * y) \ u) = w. [para(10439(a,1),6551(a,1))]. 10485 L(K(x,T(y \ z,u * y)),y,u) = K(x,(u * z) / (u * y)). [hyper(199,a,7300,a(flip),b,10443,a)]. 10486 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(10452(a,1),6256(a,1,1)),flip(b)]. 10487 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(199,a,8999,a(flip),b,10453,a(flip)),flip(a)]. 10488 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(10453(a,1),4626(a,1,2)),flip(a)]. 10489 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7716(a,2),10487(a,1,3))]. 10490 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [hyper(340,a,10457,a),flip(a)]. 10491 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(199,a,8993,a(flip),b,10465,a(flip)),flip(a)]. 10492 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(8124(a,1),10465(a,1,2))]. 10493 a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). [para(14(a,1),10491(a,1,2))]. 10494 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(10491(a,1),9062(a,2,2))]. 10497 K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. [para(9668(a,1),10471(a,1))]. 10498 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(9678(a,1),10472(a,1))]. 10499 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(9865(a,1),10473(a,2,2))]. 10500 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(10444(a,1),4655(a,1))]. 10501 (x * y) * K(z,(x * y) \ u) != w | x * (y * K(z,y \ (x \ u))) = w. [para(10445(a,1),218(a,1,2))]. 10502 K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. [para(6378(a,2),10497(a,1))]. 10503 K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. [para(6512(a,2),10497(a,1))]. 10505 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(1195(a,1),10498(a,1,2))]. 10507 L(K(x,y / (z \ u)),z \ u,z) = K(x,T(u \ (z * y),y)). [para(649(a,1),10451(a,1,2)),flip(a)]. 10508 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(8993(a,1),10486(a,1))]. 10509 L(K(x,y \ z),y,u) != w | K(x,(u * y) \ (u * z)) = w. [para(13(a,1),10484(a,1,1,2,2))]. 10510 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(10494(a,1),8723(a,2,2))]. 10511 L(K(x,T(y,z) \ u),y,z) = K(x,(y * z) \ (z * u)). [hyper(10014,a,10447,a)]. 10512 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(10468,a,10454,a)]. 10513 (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(4114(a,1),10512(a,1,1))]. 10514 L(K(x,T(y \ z,y * T(u,w))),y,T(T(u,y),w)) = K(x,(T(T(u,y),w) * z) / (T(T(u,y),w) * y)). [para(189(a,1),10485(a,1,1,2,2))]. 10515 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(10480,a,8871,a)]. 10516 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(10492(a,1),4839(a,1))]. 10517 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(5771(a,1),10490(a,1,1))]. 10518 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(199,a,10154,a(flip),b,10515,a(flip)),flip(a)]. 10519 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(199,a,6450,a(flip),b,10517,a)]. 10520 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(10519(a,1),47(a,1,1))]. 10521 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(4993(a,1),10421(a,1,1,2)),flip(a)]. 10522 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(199,a,5939,a(flip),b,10521,a)]. 10523 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1191(a,1),10522(a,1,1))]. 10524 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(10523(a,1),9070(a,2,2))]. 10525 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(199,a,5956,a(flip),b,10524,a)]. 10526 x * (y * K(z,y \ (x \ y))) = K(z,x \ 1) * (x * y). [hyper(10501,a,7512,a)]. 10527 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(7513(a,1),10526(a,1,2)),flip(a)]. 10528 x \ (K(y,x \ 1) * z) = K(y,x \ 1) * (x \ z). [hyper(499,a,10527,a)]. 10531 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5405(a,1),10412(a,1,1))]. 10532 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5337(a,1),10531(a,1,1,1,2))]. 10533 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(199,a,42,a,b,10532,a(flip)),flip(a)]. 10534 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5226(a,1),10533(a,1,1)),flip(a)]. 10535 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(199,a,10406,a(flip),b,10534,a(flip)),flip(a)]. 10536 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(10535(a,1),433(a,1,1)),flip(a)]. 10537 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(199,a,101,a(flip),b,10536,a)]. 10538 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(9466(a,1),10537(a,1,1,1)),flip(a)]. 10539 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(5008(a,1),10449(a,1,2))]. 10540 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(10458(a,1),10539(a,1,2,1))]. 10541 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4669(a,1),10540(a,1,2))]. 10542 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(10488(a,1),10541(a,1,2)),flip(a)]. 10543 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(199,a,10151,a(flip),b,10499,a(flip))]. 10544 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(10525(a,1),10510(a,1,2))]. 10545 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(8558,a,10544,a),flip(a)]. 10546 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(10458(a,1),10545(a,2,1))]. 10547 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(199,a,10453,a(flip),b,10546,a)]. 10548 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(254,a,10547,a),flip(a)]. 10550 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),10548(a,1,3,1)),flip(a)]. 10551 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4919(a,1),10548(a,1,3)),flip(a)]. 10552 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(4921(a,1),10548(a,1,3)),flip(a)]. 10553 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(9744(a,2),10548(a,1,3))]. 10554 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(10550(a,2),9380(a,1,1))]. 10555 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(10551(a,1),10542(a,2,2,2))]. 10556 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(9383,a,10554,a)]. 10557 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),10556(a,1,3,2)),flip(a)]. 10558 a(x,y,K(z,u \ 1)) = a(x,y,K(z,u \ z)). [para(5203(a,1),10556(a,1,3)),flip(a)]. 10559 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(199,a,10552,a,b,10557,a(flip)),flip(a)]. 10560 a(x,y,K(z,u \ z)) = a(x,y,K(z,u)). [para(4738(a,1),10559(a,2,3))]. 10561 a(x,y,K(z,u \ 1)) = a(x,y,K(z,u)). [hyper(199,a,10560,a(flip),b,10558,a)]. 10562 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [para(4738(a,1),10561(a,1,3))]. 10563 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(199,a,10430,a(flip),b,10543,a)]. 10564 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(10480,a,10563,a)]. 10565 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(199,a,10151,a(flip),b,10564,a(flip)),flip(a)]. 10566 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(199,a,10518,a(flip),b,10565,a(flip)),flip(a)]. 10567 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),10566(a,2,1,2))]. 10568 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(10503,a,10567,a)]. 10569 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(10568(a,1),10285(a,1,1,2,2))]. 10570 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(199,a,4947,a(flip),b,10555,a)]. 10571 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5721(a,1),5064(a,1,1,2,1)),flip(a)]. 10572 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(4912(a,1),10571(a,2,1,2))]. 10574 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6215(a,1),10572(a,2,1))]. 10575 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(79,a,10574,a)]. 10576 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(10575(a,1),2917(a,1,1,1)),flip(a)]. 10577 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5691(a,1),10576(a,2,1))]. 10578 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5530(a,1),10577(a,1,2,2))]. 10579 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(4743(a,1),10578(a,1,2))]. 10580 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(6932(a,1),10579(a,1,2)),flip(a)]. 10581 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(7635,a,10580,a(flip)),flip(a)]. 10583 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(10581(a,1),6033(a,1,2,1))]. 10584 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(10581(a,2),6462(a,1,2,1))]. 10585 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4669(a,1),5808(a,1,2))]. 10586 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(10585(a,1),8804(a,1,2,2))]. 10587 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(161(a,1),8024(a,1,1)),flip(a)]. 10588 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(4738(a,1),10587(a,2,1,1,2))]. 10589 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(199,a,40,a,b,10588,a)]. 10590 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(199,a,8375,a(flip),b,10589,a(flip))]. 10591 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(9299,a,10590,a),flip(a)]. 10593 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(342,a,10591,a)]. 10595 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(4738(a,1),10591(a,1,1,2))]. 10596 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(8663,a,10593,a)]. 10597 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(199,a,10591,a(flip),b,10593,a(flip))]. 10598 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(1914(a,1),10593(a,2,2))]. 10599 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [para(1914(a,1),10595(a,2,2))]. 10600 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(8547(a,1),10595(a,1,1,2)),flip(a)]. 10601 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(10595(a,1),9421(a,2,1))]. 10602 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4735,a,10597,a)]. 10603 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(10598(a,1),8954(a,1,1))]. 10604 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [hyper(17,a,4685,a(flip),b,10602,a),flip(a)]. 10605 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(10602(a,1),4655(a,1))]. 10606 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [para(1914(a,1),10604(a,1,1))]. 10607 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(1914(a,1),10604(a,2,2))]. 10608 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(4862,a,10606,a),flip(a)]. 10610 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(69,a,10607,a,b,4597,a(flip))]. 10611 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(10593(a,2),10605(a,1))]. 10612 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4673,a,10603,a),flip(a)]. 10614 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(199,a,10606,a(flip),b,10612,a)]. 10615 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(5716(a,1),10612(a,1,2,2)),flip(a)]. 10616 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(199,a,4738,a,b,10614,a)]. 10617 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(199,a,9361,a,b,10614,a(flip)),flip(a)]. 10618 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(4738(a,1),10614(a,1,1,2))]. 10619 K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(y,z) * K(u,y),x) = w. [para(10614(a,2),4862(a,1))]. 10620 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(10616(a,2),4862(a,1))]. 10621 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(199,a,10608,a(flip),b,10618,a)]. 10623 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(10612(a,1),10620(a,1))]. 10624 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(199,a,10599,a(flip),b,10596,a(flip))]. 10625 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(199,a,4592,a,b,10601,a)]. 10626 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5008(a,1),10625(a,1,2))]. 10627 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(10626(a,2),4862(a,1))]. 10628 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(10605,a,10624,a)]. 10629 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(199,a,4652,a(flip),b,10628,a),flip(a)]. 10630 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(8657(a,1),10600(a,2,1))]. 10631 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(17,a,4652,a(flip),b,10629,a),flip(a)]. 10632 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(199,a,10591,a(flip),b,10630,a)]. 10633 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(8547(a,1),10632(a,1,2,2))]. 10634 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(199,a,10597,a,b,10633,a),flip(a)]. 10635 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(199,a,8384,a(flip),b,10610,a(flip)),flip(a)]. 10636 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(7732(a,1),10617(a,1,2,2,2))]. 10637 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(199,a,6212,a(flip),b,10635,a(flip)),flip(a)]. 10638 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5309,a,10636,a)]. 10639 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7732(a,1),10638(a,1,1))]. 10640 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(1912(a,1),10637(a,1,1)),flip(a)]. 10641 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(199,a,11,a(flip),b,10640,a)]. 10643 1 / T(K(x,y) * K(y,z),u) = T(K(z,y) * K(y,x),u). [para(1914(a,1),10641(a,2,1))]. 10644 1 / T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u). [para(1914(a,2),10643(a,1,2,1))]. 10645 T(K(x,y) * K(y,z),u) \ 1 != w | T(K(y,x) * K(z,y),u) = w. [para(10644(a,1),253(a,1,1)),flip(b)]. 10646 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(8452(a,1),10615(a,2,2))]. 10647 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(199,a,10612,a(flip),b,10646,a)]. 10648 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(5716(a,1),10647(a,1,1,2))]. 10649 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9619(a,1),8392(a,1,1,2))]. 10650 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(7706(a,1),10649(a,1,1))]. 10651 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(42(a,2),10650(a,1,2))]. 10652 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(186(a,1),10651(a,1,2,1))]. 10653 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(199,a,8629,a(flip),b,10652,a(flip)),flip(a)]. 10654 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(199,a,9300,a(flip),b,10653,a(flip)),flip(a)]. 10656 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(199,a,8906,a(flip),b,10654,a(flip))]. 10657 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7489(a,1),10656(a,2,2))]. 10658 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(199,a,4079,a(flip),b,10657,a)]. 10659 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(8391(a,1),10658(a,1,1,1))]. 10660 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(9619(a,1),10659(a,1,1)),flip(a)]. 10661 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(10660(a,1),5001(a,1))]. 10662 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(8759(a,1),8761(a,1,2,1,1)),flip(a)]. 10663 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(199,a,2608,a(flip),b,10662,a)]. 10665 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1001(a,1),10663(a,2,1))]. 10666 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1001(a,1),10665(a,1,1))]. 10667 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(10666(a,1),10452(a,1,2,2))]. 10668 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(13(a,1),10358(a,2,1,1))]. 10669 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(199,a,8741,a(flip),b,10668,a)]. 10671 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(13(a,1),10669(a,1,1,1))]. 10672 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),10671(a,1,2,2))]. 10673 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5594(a,1),10672(a,1,2,1,3))]. 10674 (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(8936(a,1),10513(a,1,2))]. 10675 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(3973(a,1),10674(a,1,2)),flip(a)]. 10676 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(38(a,1),10675(a,2,2))]. 10677 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(199,a,7511,a(flip),b,10676,a)]. 10678 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(10458(a,1),10677(a,2,1))]. 10679 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(199,a,7682,a(flip),b,10678,a)]. 10680 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7085(a,1),10679(a,1,2,3))]. 10681 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(3947(a,1),10680(a,1,2,3))]. 10682 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(199,a,10570,a,b,10681,a(flip)),flip(a)]. 10683 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(10435(a,1),10682(a,1,1))]. 10684 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2963(a,1),10683(a,1,2)),flip(a)]. 10685 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(199,a,5008,a(flip),b,10684,a)]. 10686 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(10458(a,1),10685(a,2,1))]. 10687 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(199,a,4660,a,b,10686,a)]. 10689 (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(4243(a,1),4360(a,1,1,2))]. 10690 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(6620(a,1),6621(a,2,2,1,1))]. 10691 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(63(a,1),10690(a,2,2,1))]. 10693 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(199,a,3580,a(flip),b,10691,a)]. 10694 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(63(a,1),10693(a,1,1,2,1))]. 10695 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3580(a,1),10694(a,1,1))]. 10696 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6143,a,10695,a)]. 10697 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(10696(a,1),10375(a,1,1,1))]. 10698 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(673,a,10697,a)]. 10699 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(101(a,1),10698(a,1,1,2))]. 10700 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),10699(a,1,1)),flip(a)]. 10701 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(199,a,9497,a(flip),b,10700,a),flip(a)]. 10702 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(24(a,2),10701(a,2,1,1)),flip(a)]. 10703 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(7717(a,1),7567(a,2,1))]. 10704 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(199,a,4475,a(flip),b,8632,a(flip))]. 10706 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(199,a,3429,a(flip),b,10704,a)]. 10707 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2232(a,1),10706(a,1,2,1)),flip(a)]. 10709 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(199,a,9406,a(flip),b,9104,a(flip)),flip(a)]. 10710 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(10310,a,10709,a)]. 10713 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9275(a,1),10710(a,2,2,2))]. 10714 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),10713(a,2,2,2,1))]. 10715 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),10714(a,2,2))]. 10717 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(199,a,9392,a(flip),b,10715,a)]. 10718 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(199,a,10311,a(flip),b,10717,a(flip))]. 10719 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10717(a,1),4180(a,1))]. 10721 (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(5008(a,1),9139(a,1,1,2))]. 10722 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(9653(a,1),10286(a,1,2,1,1))]. 10723 ((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(199,a,4248,a(flip),b,10689,a(flip)),flip(a)]. 10724 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(199,a,8041,a(flip),b,10703,a)]. 10725 ((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(6440(a,1),10721(a,1,1))]. 10726 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(199,a,10285,a(flip),b,10722,a(flip))]. 10727 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(8927,a,10726,a),flip(a)]. 10728 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(7388,a,10727,a)]. 10729 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8851,a,10728,a),flip(a)]. 10730 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(10729(a,1),9777(a,1,1))]. 10731 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(199,a,9776,a(flip),b,10730,a(flip)),flip(a)]. 10732 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(9896,a,10731,a),flip(a)]. 10733 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(199,a,6628,a(flip),b,10732,a(flip))]. 10734 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),10733(a,1,2,1)),flip(a)]. 10735 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(450(a,1),10734(a,2,2,1))]. 10736 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(4990(a,1),10734(a,1,1)),flip(a)]. 10737 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5330(a,1),10734(a,1,1)),flip(a)]. 10738 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(10071(a,1),10734(a,1,1))]. 10739 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(199,a,5336,a,b,10737,a(flip)),flip(a)]. 10741 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(10736(a,1),10738(a,1,1)),flip(a)]. 10742 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5336(a,1),10735(a,1,1))]. 10743 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(4460,a,10723,a),flip(a)]. 10744 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(6640,a,10743,a)]. 10746 a(x,y,1 / z) = a(x,y,z \ 1). [para(666(a,1),10744(a,1,3)),flip(a)]. 10748 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [para(2742(a,1),10744(a,1,3)),flip(a)]. 10749 a(x,y,K(z,z \ 1) * u) = (a(x,y,u) * K(w,v5)) * K(v5,w). [hyper(199,a,6215,a,b,10748,a)]. 10750 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4369(a,1),10748(a,1,3))]. 10751 a(x,y,K(z,z \ 1) * u) = (((x * (y * u)) \ ((x * y) * u)) * K(w,v5)) * K(v5,w). [para(24(a,1),10749(a,2,1,1))]. 10752 a(x,y,K(z,z \ 1) * u) != w | a(x,y,u) = w. [para(10749(a,2),5139(a,1)),flip(b)]. 10753 a(x,y,K(z,z \ 1) * u) = ((x * (K(w,w \ 1) * (y * u))) \ ((x * y) * u)) * K(w,w \ 1). [para(4374(a,2),10751(a,2,1))]. 10754 a(x,y,K(z,z \ 1) * u) = ((x * (y * (K(w,w \ 1) * u))) \ ((x * y) * u)) * K(w,w \ 1). [para(4370(a,1),10753(a,2,1,1,2))]. 10755 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(10752,a,10754,a),flip(a)]. 10756 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2234(a,1),10755(a,1,1,1,2,2))]. 10757 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(3964(a,1),3877(a,1,1,2)),flip(a)]. 10758 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(199,a,1725,a(flip),b,10757,a)]. 10759 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(3873(a,1),10758(a,1,3))]. 10760 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(10759(a,1),5802(a,1,1,1))]. 10761 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(10759(a,1),10760(a,1,2))]. 10762 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(239,a,10761,a)]. 10763 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(199,a,4327,a(flip),b,10762,a(flip)),flip(a)]. 10764 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(10763(a,1),152(a,1,2))]. 10765 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(10764(a,1),10247(a,1,1,1))]. 10766 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(63(a,1),3884(a,1,1,2))]. 10767 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(40(a,2),10766(a,1,1))]. 10768 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2811(a,1),10767(a,1,1))]. 10769 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(63(a,1),10768(a,1,2,2,2))]. 10770 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),10769(a,1,2,2))]. 10771 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2811(a,1),10770(a,1,2,2))]. 10772 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),10771(a,1,2))]. 10774 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(10772(a,1),4511(a,1,1)),flip(a)]. 10775 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(10774(a,1),63(a,1,1))]. 10776 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(199,a,2924,a(flip),b,10775,a(flip)),flip(a)]. 10777 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6228(a,1),8378(a,2,2,2))]. 10778 (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(5008(a,1),8545(a,1,1,2,2))]. 10779 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(6021(a,1),8727(a,1,1)),flip(a)]. 10780 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(199,a,5090,a(flip),b,10779,a)]. 10782 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(199,a,4669,a(flip),b,10780,a)]. 10783 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6021(a,1),10782(a,1,2))]. 10784 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(199,a,7286,a(flip),b,10783,a(flip)),flip(a)]. 10786 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(199,a,10488,a(flip),b,10784,a)]. 10787 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(10786(a,1),4684(a,1,1))]. 10788 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(10786(a,1),4806(a,1,1))]. 10789 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(199,a,10687,a(flip),b,10788,a)]. 10790 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7262(a,1),9602(a,1,1))]. 10791 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(10044(a,1),10790(a,1,1))]. 10792 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6051(a,1),10791(a,1,2))]. 10793 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8908(a,1),10792(a,1,2))]. 10794 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(8450(a,1),10322(a,1,1,1,2))]. 10795 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(199,a,7770,a(flip),b,10586,a(flip))]. 10796 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(7739,a,10795,a)]. 10798 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8497(a,1),10796(a,1,2))]. 10799 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(199,a,8795,a(flip),b,10798,a(flip)),flip(a)]. 10800 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(9278(a,1),10777(a,2,2))]. 10801 (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(4016(a,1),10778(a,1,1,2))]. 10802 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10212(a,1),10801(a,1,2))]. 10803 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8270(a,1),10802(a,1,2))]. 10805 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5008(a,1),10803(a,2,2,1,1))]. 10806 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(6238(a,1),10805(a,2,2,1))]. 10807 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(6908(a,2),10806(a,2,2))]. 10808 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),10807(a,2,2,1))]. 10809 ((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(10808(a,1),5850(a,1,1,2))]. 10810 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(10639(a,1),10794(a,1,1,1))]. 10811 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(8055(a,1),10800(a,2,2))]. 10812 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(199,a,6488,a(flip),b,10811,a)]. 10813 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(4738(a,1),10812(a,2,1))]. 10814 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(7798(a,1),10813(a,2,2))]. 10815 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(199,a,10621,a(flip),b,10814,a)]. 10817 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6228(a,1),10815(a,1,2,1))]. 10818 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(8375(a,1),10817(a,1,2))]. 10820 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(10818(a,1),10353(a,1,2))]. 10821 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(199,a,9938,a,b,10820,a(flip)),flip(a)]. 10822 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(9442(a,1),10821(a,1,1))]. 10823 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(10645,a,10822,a),flip(a)]. 10824 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(10823(a,1),9294(a,1,1)),flip(a)]. 10825 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(199,a,10252,a(flip),b,10824,a(flip))]. 10826 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(9555(a,1),10825(a,1,1)),flip(a)]. 10828 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(14(a,1),5921(a,2,2,1,2))]. 10829 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(199,a,164,a(flip),b,10828,a)]. 10830 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(164(a,1),10829(a,1,2))]. 10831 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5008(a,1),10830(a,1,2,2))]. 10832 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(199,a,2608,a(flip),b,10831,a)]. 10833 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6299(a,1),6330(a,2,2,1,1))]. 10834 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(4814(a,1),10833(a,2,2,1))]. 10837 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9357(a,1),8388(a,1,1,2))]. 10838 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8387(a,1),10837(a,1,2,1))]. 10839 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(3582(a,1),10838(a,1,2,2))]. 10840 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2558(a,1),10839(a,1,2)),flip(a)]. 10842 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8387(a,1),10840(a,1,2,1))]. 10843 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(9357(a,1),10842(a,1,2)),flip(a)]. 10844 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8387(a,1),10843(a,2,3))]. 10845 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [hyper(199,a,10251,a(flip),b,10844,a(flip))]. 10847 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(9170(a,1),10845(a,1,2))]. 10848 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(9331(a,2),10847(a,1,3))]. 10849 x / (a(y,z,y) \ 1) = x * a(y,z,y). [hyper(69,a,10848,a(flip),b,329,a)]. 10850 x / (y \ L(y,z,y)) = x * a(y,z,y). [para(9331(a,1),10849(a,1,2))]. 10851 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(267,a,10850,a),flip(a)]. 10852 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(199,a,8385,a,b,10851,a(flip)),flip(a)]. 10853 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(10851(a,2),9311(a,1))]. 10854 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(69,a,15,a(flip),b,10852,a),flip(a)]. 10855 (x / y) * R(y,z,y) = x * a(y,z,y). [para(10854(a,1),16(a,1,1))]. 10856 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(199,a,7067,a,b,10855,a(flip)),flip(a)]. 10857 (x * y) * a(y,z,y) = x * R(y,z,y). [para(15(a,1),10855(a,1,1)),flip(a)]. 10858 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4031(a,1),10855(a,1,2))]. 10859 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10855(a,2),9234(a,1,2))]. 10860 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),10856(a,1,2)),flip(a)]. 10861 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(10856(a,1),1495(a,1,2))]. 10862 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(9314,a,10857,a)]. 10863 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(69,a,10857,a(flip),b,9310,a)]. 10864 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10857(a,1),9244(a,1,1))]. 10865 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(10857(a,1),9318(a,1,1,2))]. 10866 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(9314,a,10860,a)]. 10867 (x * y) * a(x,z,x) = L(x,z,x) * y. [para(4028(a,1),10860(a,2,1))]. 10868 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(9310(a,2),10861(a,1,2))]. 10869 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(69,a,10862,a(flip),b,80,a(flip))]. 10870 a(x,y,x) * (z * x) = z * L(x,y,x). [para(4028(a,1),10862(a,2,2))]. 10871 R(a(x,y,x),x,z) = a(x,y,x). [hyper(199,a,9911,a(flip),b,10863,a(flip)),flip(a)]. 10872 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(92(a,1),10863(a,1,2))]. 10875 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(199,a,430,a,b,10871,a(flip)),flip(a)]. 10876 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(10866(a,1),436(a,1,1,1))]. 10877 a(x,y,x) * (x * z) = L(x,y,x) * z. [para(4028(a,1),10866(a,2,1))]. 10878 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(68,a,14,a(flip),b,10868,a),flip(a)]. 10879 (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(10156(a,1),10858(a,1,2))]. 10880 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(199,a,7566,a(flip),b,10864,a)]. 10883 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(199,a,9141,a(flip),b,10859,a(flip)),flip(a)]. 10884 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10883(a,1),7022(a,1,2))]. 10885 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(4977,a,10884,a),flip(a)]. 10886 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(397(a,1),10872(a,1,1))]. 10887 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(10405(a,1),10886(a,1,1,2))]. 10888 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(199,a,10865,a(flip),b,10887,a(flip)),flip(a)]. 10891 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(16(a,1),10888(a,1,2)),flip(a)]. 10892 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(4186(a,1),10879(a,1,2,1)),flip(a)]. 10893 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(9179(a,1),10875(a,1,1,1))]. 10894 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(433(a,1),10893(a,1,1))]. 10895 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(10537(a,1),10894(a,1,1))]. 10896 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(10895(a,1),10876(a,1))]. 10897 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(2004(a,1),8742(a,1,1))]. 10898 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(8048,a,10897,a(flip)),flip(a)]. 10899 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(10898(a,1),14(a,1,2))]. 10900 (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(10899(a,1),10725(a,1,1))]. 10901 (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(9138(a,1),10900(a,1,2))]. 10902 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1030,a,10901,a)]. 10903 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(199,a,5008,a(flip),b,10902,a)]. 10904 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(199,a,8307,a,b,10903,a(flip)),flip(a)]. 10905 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3058,a,10904,a),flip(a)]. 10906 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(7417,a,10905,a),flip(a)]. 10908 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(7377,a,10906,a),flip(a)]. 10910 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(10908(a,1),9476(a,1,1))]. 10911 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(4968,a,10910,a)]. 10912 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9466(a,1),10910(a,1,2,2))]. 10913 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(9393,a,10911,a)]. 10914 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(10911(a,1),9393(a,1))]. 10915 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9397(a,1),10912(a,1,2))]. 10916 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5019,a,10915,a)]. 10917 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(10915(a,1),5019(a,1)),flip(b)]. 10918 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(10914,a,10916,a)]. 10921 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(10918(a,1),9414(a,1,1)),flip(a)]. 10922 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(10921(a,1),10702(a,1,1))]. 10924 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(199,a,10702,a(flip),b,10922,a(flip))]. 10925 (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(199,a,8557,a,b,10924,a),flip(a)]. 10926 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(10913(a,2),10917(a,1))]. 10927 (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(5909(a,1),10925(a,1,1,2))]. 10928 (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(530(a,1),10927(a,1,1))]. 10929 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(165(a,1),10928(a,1,2)),flip(a)]. 10930 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(199,a,1082,a(flip),b,10929,a)]. 10931 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(42(a,2),10930(a,2,3))]. 10932 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(199,a,10924,a(flip),b,10931,a(flip)),flip(a)]. 10933 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(10926,a,10932,a)]. 10935 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(199,a,10718,a(flip),b,10933,a(flip))]. 10937 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(199,a,10373,a,b,10935,a(flip)),flip(a)]. 10938 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9210,a,10937,a)]. 10939 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(10938(a,1),10892(a,1,2)),flip(a)]. 10940 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(32(a,2),10939(a,2,2,2))]. 10941 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(9448(a,1),10940(a,2,2))]. 10942 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(6337(a,1),8013(a,1,1,1))]. 10943 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(3934(a,1),10942(a,1,1)),flip(a)]. 10944 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(199,a,7362,a(flip),b,10943,a)]. 10946 (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(199,a,433,a(flip),b,9528,a)]. 10947 (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(199,a,1670,a(flip),b,10946,a(flip)),flip(a)]. 10948 (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(5016(a,1),10947(a,1,1,2,1))]. 10949 (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(5463(a,1),10948(a,1,1,2,1))]. 10950 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(7210(a,1),10949(a,1,1,2,1)),flip(a)]. 10951 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(199,a,4008,a(flip),b,10950,a(flip))]. 10953 (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(10951(a,1),1508(a,2,1,2)),flip(a)]. 10954 (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(5008(a,1),10953(a,1,1))]. 10955 (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(9389(a,1),10954(a,1,1))]. 10956 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(261,a,10955,a)]. 10959 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(199,a,5713,a(flip),b,10956,a(flip)),flip(a)]. 10960 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(7592,a,10959,a(flip)),flip(a)]. 10961 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(199,a,6868,a(flip),b,10960,a(flip))]. 10963 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(104(a,1),10961(a,1,2,2,1)),flip(a)]. 10964 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(199,a,10961,a,b,10963,a(flip)),flip(a)]. 10965 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(7602,a,10964,a)]. 10966 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(4912(a,1),10832(a,2,1,2,1))]. 10967 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(8983(a,1),10966(a,2,1))]. 10968 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(5633(a,1),10967(a,1,2,2,2,1))]. 10969 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(199,a,10831,a(flip),b,10968,a(flip)),flip(a)]. 10970 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(199,a,10220,a(flip),b,10969,a(flip)),flip(a)]. 10971 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(5974(a,1),10970(a,1,3)),flip(a)]. 10972 a(x,y,a(z,u,K(y,w))) = 1. [hyper(34,a,10971,a)]. 10973 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7143(a,1),10972(a,1,3,3))]. 10974 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(4912(a,1),6426(a,1,1,1,2,1))]. 10975 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(6450(a,1),10974(a,1,1,1))]. 10976 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(10341(a,1),10975(a,1,1))]. 10977 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(8983(a,1),10976(a,1,1,2))]. 10978 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(4912(a,1),10977(a,1,3,1))]. 10979 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(199,a,8359,a(flip),b,10978,a(flip))]. 10981 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(4911(a,1),10979(a,1,2,1))]. 10982 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(4911(a,1),10981(a,1,2,2,1))]. 10983 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(8987(a,1),10982(a,1,2))]. 10984 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(8352(a,1),8358(a,1,1,2,1,1)),flip(a)]. 10985 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(13(a,1),10984(a,2,1,2,1))]. 10987 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(8352(a,1),10985(a,1,1)),flip(a)]. 10988 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(1919(a,1),10987(a,2,2))]. 10989 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(10988(a,1),10382(a,1,1))]. 10990 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5011(a,1),10989(a,1,1,2))]. 10991 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(199,a,8361,a(flip),b,10990,a(flip))]. 10992 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(3774,a,10991,a)]. 10994 K(x,a(K(y,z),u,u \ 1)) = 1. [para(10992(a,1),9542(a,1,2))]. 10995 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(37,a,10994,a)]. 10996 T(x,a(K(y,z),u \ 1,u)) = x. [para(3516(a,1),10995(a,1,2))]. 10997 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(35,a,10996,a)]. 10998 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(199,a,3506,a,b,10997,a)]. 10999 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5017(a,2),10998(a,1,1))]. 11000 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(199,a,9031,a,b,10999,a(flip)),flip(a)]. 11001 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(199,a,7120,a,b,11000,a(flip)),flip(a)]. 11002 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(9613,a,11001,a)]. 11003 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2688(a,1),11002(a,1,2,2))]. 11004 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(199,a,5286,a,b,11003,a)]. 11005 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11003(a,1),7738(a,1,2)),flip(a)]. 11006 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(443(a,1),11004(a,1,2,2))]. 11007 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5207(a,1),11006(a,1,2)),flip(a)]. 11008 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5210(a,2),11006(a,1,2))]. 11009 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(7902,a,11007,a)]. 11010 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(5289,a,11007,a)]. 11011 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7144(a,1),11007(a,1,2)),flip(a)]. 11012 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(6816(a,1),11008(a,1,2)),flip(a)]. 11013 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),11009(a,2,2,2))]. 11014 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(5217(a,2),11009(a,1,2))]. 11015 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(199,a,5286,a,b,11010,a)]. 11016 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(11012(a,1),7728(a,1,2))]. 11017 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(7739,a,11013,a)]. 11018 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11014(a,1),10489(a,1,3))]. 11019 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(11015(a,2),5289(a,1))]. 11020 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(199,a,7872,a(flip),b,11017,a(flip)),flip(a)]. 11022 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11020(a,1),8911(a,1,1))]. 11023 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11020(a,1),9108(a,1,1))]. 11024 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(4738(a,1),11023(a,1,1,2))]. 11026 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(199,a,8449,a(flip),b,11024,a(flip)),flip(a)]. 11027 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(60(a,1),11026(a,1,2,2,2))]. 11028 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(5045,a,11022,a)]. 11029 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(60(a,1),11022(a,1,2)),flip(a)]. 11031 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7715(a,1),11028(a,1,1))]. 11032 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7716(a,1),11029(a,2,1))]. 11033 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8913,a,11031,a)]. 11034 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11032(a,1),63(a,1,1))]. 11035 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(10388(a,1),11033(a,1,1,1,1))]. 11036 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4733,a,11034,a)]. 11037 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,11036,a)]. 11038 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),11037(a,1,3))]. 11039 a(K(K(x,y),z),u,u \ z) = 1. [para(4738(a,1),11037(a,1,1))]. 11040 a(K(x,K(y,z * u)),z,u) = 1. [para(7715(a,1),11038(a,1,1))]. 11041 a(K(K(x,y),z),u,u \ z) = K(w,v5) * K(w,v5). [hyper(199,a,4913,a,b,11039,a)]. 11042 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(199,a,7725,a(flip),b,11005,a)]. 11043 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(199,a,8661,a(flip),b,11042,a(flip)),flip(a)]. 11044 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11027(a,1),11041(a,2,2))]. 11045 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7141(a,1),11011(a,1,2))]. 11046 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [hyper(7114,a,11043,a)]. 11048 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7143(a,1),11043(a,1,2)),flip(a)]. 11049 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(199,a,7833,a(flip),b,11046,a)]. 11050 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5207(a,1),11049(a,1,2))]. 11051 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(11050(a,1),4782(a,1,1))]. 11052 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(9931(a,1),11045(a,1,2)),flip(a)]. 11053 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(7877,a,11052,a)]. 11054 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(16(a,1),11052(a,2,2,2))]. 11055 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(11052(a,1),7747(a,1,2,2))]. 11056 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(199,a,7878,a(flip),b,11053,a(flip))]. 11057 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(11054(a,1),8396(a,2,2))]. 11058 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(60(a,1),11057(a,1,1)),flip(a)]. 11060 (x / y) \ T(x,K(z,u)) != w | y * K(z,K(u,x)) = w. [para(11058(a,1),520(a,1))]. 11061 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(7181(a,1),11048(a,1,2)),flip(a)]. 11062 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(7885,a,11061,a),flip(a)]. 11063 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(8501,a,11055,a)]. 11064 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(11063(a,1),10448(a,1,2))]. 11065 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(6897,a,11062,a),flip(a)]. 11066 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(7922,a,11065,a)]. 11067 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(199,a,4652,a(flip),b,11066,a)]. 11068 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4708,a,11067,a)]. 11069 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(11068(a,1),9639(a,1,1))]. 11070 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(11064(a,1),107(a,1,1)),flip(a)]. 11071 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(11064(a,1),4763(a,1,2,2)),flip(a)]. 11072 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(199,a,7757,a(flip),b,11016,a(flip))]. 11073 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7084(a,2),11072(a,2,1))]. 11074 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(7919(a,1),11073(a,2,1))]. 11075 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(11074(a,2),6218(a,1,1))]. 11076 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(7847,a,11056,a),flip(a)]. 11077 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(7877,a,11076,a)]. 11078 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(5258(a,2),11077(a,2,2))]. 11079 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7716(a,2),11044(a,2,2))]. 11080 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(4738(a,1),11079(a,1,1))]. 11081 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(199,a,10614,a(flip),b,11080,a),flip(a)]. 11082 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(199,a,11040,a(flip),b,11081,a)]. 11083 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(199,a,10631,a(flip),b,11082,a(flip)),flip(a)]. 11084 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),11083(a,1,2,2,2,3))]. 11085 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(185(a,2),11069(a,1,1,2,2))]. 11086 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(5052(a,1),11085(a,1,1)),flip(a)]. 11087 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(199,a,8548,a(flip),b,11086,a)]. 11089 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(421(a,1),11087(a,1,2,1,1)),flip(a)]. 11090 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(199,a,5718,a(flip),b,11089,a(flip)),flip(a)]. 11091 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(199,a,9524,a(flip),b,11090,a(flip))]. 11093 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(199,a,9629,a(flip),b,11091,a(flip)),flip(a)]. 11094 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(52(a,1),11093(a,1,2,2))]. 11095 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(199,a,5740,a(flip),b,11094,a(flip)),flip(a)]. 11097 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(11095(a,2),4912(a,1,1))]. 11098 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(5764,a,11097,a)]. 11099 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(329(a,2),11098(a,2,2)),flip(a)]. 11100 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(9940,a,11099,a)]. 11101 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(199,a,8544,a(flip),b,11100,a(flip))]. 11102 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(199,a,11098,a(flip),b,11101,a(flip)),flip(a)]. 11103 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(443(a,1),11102(a,1,2)),flip(a)]. 11104 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(10436,a,11103,a)]. 11105 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(199,a,3938,a(flip),b,11070,a)]. 11106 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7084(a,2),11105(a,2,1))]. 11107 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(4962(a,2),11035(a,1,1))]. 11108 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(4862,a,11107,a)]. 11109 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(11019,a,11108,a)]. 11110 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),11109(a,1,2,2)),flip(a)]. 11111 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11110(a,1),7740(a,1))]. 11112 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(28(a,2),11078(a,1,2,2,2)),flip(a)]. 11113 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(3313(a,1),8602(a,2,1,2))]. 11114 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(555(a,1),11113(a,1,1,2,2))]. 11115 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3333(a,1),11114(a,1,1,2))]. 11116 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(199,a,5329,a(flip),b,11115,a(flip))]. 11117 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4337(a,1),10356(a,1,1))]. 11119 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5825(a,1),11117(a,1,2,1,2))]. 11120 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(68,a,11119,a(flip),b,5464,a(flip))]. 11121 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(2881,a,11120,a)]. 11122 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(11121(a,1),3555(a,2,1)),flip(a)]. 11123 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4244(a,1),11122(a,1,2))]. 11124 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4538(a,1),11123(a,1,2))]. 11125 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(199,a,10334,a(flip),b,11124,a(flip))]. 11127 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(145(a,1),11125(a,1,2,2,1))]. 11128 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11127(a,1),4328(a,1,2))]. 11129 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11128(a,1),6961(a,2,1))]. 11130 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(7717(a,1),11051(a,1,2,1,2))]. 11131 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(7844(a,1),11130(a,1,2,1,2))]. 11132 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(7824(a,1),11131(a,1,2,1,2))]. 11133 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(4718(a,1),11132(a,1,2,1))]. 11134 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(5566,a,11133,a)]. 11135 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(7857(a,1),11134(a,1,1)),flip(a)]. 11136 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(1257(a,1),11135(a,2,2))]. 11137 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(199,a,5074,a(flip),b,11136,a)]. 11138 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(13(a,1),6482(a,1,1,1)),flip(a)]. 11139 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(199,a,7089,a(flip),b,11138,a)]. 11141 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(199,a,8526,a(flip),b,11139,a)]. 11142 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7382,a,11141,a)]. 11143 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(199,a,8926,a(flip),b,11142,a(flip)),flip(a)]. 11144 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(8532,a,11143,a)]. 11145 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(7233,a,11144,a),flip(a)]. 11147 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(199,a,9135,a(flip),b,11145,a(flip)),flip(a)]. 11148 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6168,a,11147,a),flip(a)]. 11149 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(199,a,8438,a,b,11148,a(flip)),flip(a)]. 11150 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(199,a,10383,a,b,11149,a(flip)),flip(a)]. 11151 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(30(a,2),11150(a,2,2,1))]. 11152 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(199,a,8590,a(flip),b,11151,a(flip))]. 11154 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(5008(a,1),9020(a,1,1,1))]. 11155 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(10317(a,1),11154(a,1,1))]. 11156 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(199,a,6043,a(flip),b,11155,a(flip)),flip(a)]. 11158 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(199,a,10648,a(flip),b,11156,a(flip)),flip(a)]. 11159 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(10627,a,11158,a),flip(a)]. 11160 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(199,a,10631,a(flip),b,11159,a)]. 11161 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(199,a,11084,a(flip),b,11160,a)]. 11163 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(199,a,6043,a(flip),b,11161,a(flip)),flip(a)]. 11164 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(11163(a,1),4767(a,1,1))]. 11165 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(10318(a,1),11164(a,1,2))]. 11166 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(71,a,11165,a)]. 11167 1 * (K(x,y) * R(K(x,y),z,u)) = a(K(x,y),z,u). [para(4738(a,1),11165(a,1,2,1))]. 11168 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5037,a,11166,a)]. 11169 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(5703(a,1),11166(a,1,2))]. 11171 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(11166(a,1),6646(a,1,1)),flip(a)]. 11172 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(8253(a,1),11166(a,1,2))]. 11173 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(11166(a,1),8350(a,2,2))]. 11174 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(11166(a,1),10634(a,2,2))]. 11175 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(11166(a,1),10648(a,1,1)),flip(a)]. 11176 (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(11168(a,1),9455(a,1,1)),flip(a)]. 11177 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8449(a,1),11167(a,1,2,2))]. 11178 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(11172(a,1),4908(a,1,2)),flip(a)]. 11179 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5037,a,11171,a)]. 11180 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(199,a,10834,a,b,11173,a(flip)),flip(a)]. 11181 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(199,a,8040,a,b,11173,a(flip)),flip(a)]. 11182 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(10623,a,11175,a)]. 11185 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(11175(a,1),10623(a,1))]. 11186 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(6867,a,11178,a)]. 11187 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(199,a,9237,a(flip),b,11179,a(flip)),flip(a)]. 11188 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(11182(a,1),10810(a,1,1,1))]. 11189 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(11186(a,2),19(a,1))]. 11190 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(10639(a,1),11177(a,1,2))]. 11191 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(8493(a,1),11187(a,1,2))]. 11192 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(4977,a,11191,a)]. 11193 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(199,a,9036,a,b,11192,a)]. 11194 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(13(a,1),11180(a,1,2,1,2,1))]. 11196 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6438(a,1),11194(a,1,2))]. 11197 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6234(a,2),11196(a,1,1))]. 11198 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6156(a,1),11197(a,1,2))]. 11199 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(199,a,11181,a(flip),b,11176,a)]. 11200 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(297(a,1),11188(a,1,1)),flip(a)]. 11201 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(199,a,8495,a(flip),b,11200,a)]. 11202 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7717(a,1),11201(a,1,2,1,1))]. 11203 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8450(a,1),11202(a,1,2,1))]. 11204 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4660(a,2),11203(a,1,2))]. 11205 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(199,a,8662,a,b,11204,a(flip)),flip(a)]. 11206 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7737(a,1),11205(a,1,1))]. 11207 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(10611,a,11206,a)]. 11208 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(199,a,11174,a(flip),b,11207,a(flip))]. 11209 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4652,a(flip),b,11208,a)]. 11210 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(11185,a,11209,a)]. 11211 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(11210(a,1),11190(a,1,2))]. 11212 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(71,a,11211,a),flip(a)]. 11213 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(199,a,11209,a,b,11212,a)]. 11214 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7732(a,1),11212(a,1,1))]. 11215 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(4738(a,1),11213(a,2,1,1))]. 11216 x * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). [para(15(a,1),1471(a,1,1))]. 11217 ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(x \ (x * y),w). [para(15(a,1),11216(a,1,2,1,1)),flip(a)]. 11218 ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(y,w). [para(13(a,1),11217(a,2,2,1))]. 11219 (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(11218(a,1),16(a,1,1))]. 11220 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(105(a,1),11219(a,1,1)),flip(a)]. 11221 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(11220(a,1),9163(a,1,2))]. 11222 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(597,a,11221,a),flip(a)]. 11224 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(6200(a,1),11222(a,1,2)),flip(a)]. 11225 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(11222(a,1),8504(a,1,2))]. 11226 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(17,a,10415,a(flip),b,11225,a)]. 11228 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11226(a,2),10855(a,2,2))]. 11229 (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(10535(a,1),11228(a,1,2))]. 11230 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(9766(a,1),11224(a,2,2))]. 11231 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(199,a,11222,a(flip),b,11230,a)]. 11232 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(6547,a,11231,a)]. 11233 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(40(a,2),11232(a,1,3))]. 11234 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(199,a,2513,a(flip),b,11233,a(flip)),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(199,a,9164,a(flip),b,11234,a(flip)),flip(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(199,a,10081,a,b,11235,a(flip)),flip(a)]. 11237 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(199,a,10941,a(flip),b,11229,a(flip))]. 11238 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(281(a,1),11237(a,1,2,3))]. 11239 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(9324,a,11238,a)]. 11240 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(10896,a,11239,a)]. 11241 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(199,a,10938,a(flip),b,11239,a(flip))]. 11242 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),11240(a,1,2)),flip(a)]. 11243 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(11242(a,1),9395(a,1,2)),flip(a)]. 11244 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(11242(a,1),9407(a,1,2)),flip(a)]. 11245 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(199,a,9466,a(flip),b,11243,a(flip))]. 11246 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(11241(a,1),9450(a,1,1))]. 11247 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(9439,a,11246,a)]. 11248 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(9238(a,1),11245(a,1,2,1)),flip(a)]. 11249 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(199,a,11244,a,b,11248,a)]. 11251 (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(11249(a,1),10538(a,2,1,1))]. 11252 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(10826(a,1),11251(a,2,1))]. 11254 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11242(a,1),11252(a,2,1,1))]. 11255 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7036(a,1),11254(a,1,1,1))]. 11257 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10885(a,1),11255(a,1,1))]. 11258 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(9220(a,1),11257(a,1,1)),flip(a)]. 11259 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(68,a,11258,a(flip),b,598,a)]. 11261 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(9820,a,11259,a),flip(a)]. 11262 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(9308(a,1),11261(a,2,2))]. 11263 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(199,a,9313,a(flip),b,11262,a)]. 11266 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,11263,a)]. 11267 (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(11266(a,1),10008(a,1,2))]. 11268 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(9340(a,1),11267(a,1,1,2,1))]. 11269 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(437,a,11268,a),flip(a)]. 11271 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,9310,a(flip),b,11269,a)]. 11274 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(199,a,11240,a(flip),b,11271,a(flip)),flip(a)]. 11275 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(199,a,9408,a(flip),b,11271,a(flip))]. 11276 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(11271(a,1),101(a,1,1)),flip(a)]. 11277 a(x,y,x) \ (z * u) = (a(x,y,x) \ z) * u. [para(11271(a,1),421(a,1,1))]. 11280 L(x,y,a(z,u,z)) = x. [para(11271(a,1),11266(a,1,3))]. 11281 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(z,u,w). [hyper(199,a,411,a,b,11280,a(flip)),flip(a)]. 11282 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(11280(a,1),456(a,1,2))]. 11285 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(199,a,11226,a,b,11274,a)]. 11286 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(11274(a,1),11247(a,1,2)),flip(a)]. 11288 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(10719,a,11285,a),flip(a)]. 11290 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5409(a,1),11275(a,1,2)),flip(a)]. 11291 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(11276(a,1),28(a,2,1)),flip(a)]. 11292 ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,u,w). [para(11276(a,1),30(a,2,1,1)),flip(a)]. 11293 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(9310(a,1),11276(a,1,1))]. 11294 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(14(a,1),11282(a,1,1)),flip(a)]. 11296 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(32(a,1),11288(a,1,2))]. 11297 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(4656,a,11293,a)]. 11298 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [hyper(199,a,9310,a(flip),b,11293,a)]. 11299 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(73,a,11294,a),flip(a)]. 11301 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(199,a,9227,a(flip),b,11286,a)]. 11303 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(9440,a,11301,a),flip(a)]. 11304 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(421(a,1),11301(a,1,2)),flip(a)]. 11305 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(9704,a,11304,a),flip(a)]. 11306 K(x / y,((x / y) \ x) * z) = K(y \ x,((x / y) \ z) * x). [hyper(199,a,9935,a(flip),b,11305,a)]. 11307 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(199,a,11236,a,b,11296,a(flip)),flip(a)]. 11308 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(199,a,9841,a(flip),b,11303,a(flip)),flip(a)]. 11309 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(199,a,10965,a(flip),b,11308,a(flip)),flip(a)]. 11313 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(199,a,11152,a(flip),b,11309,a(flip)),flip(a)]. 11315 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(199,a,10673,a(flip),b,11313,a(flip))]. 11316 K(x \ y,((y / x) \ z) * y) = K(y / x,x * z). [para(63(a,1),11306(a,1,2,1)),flip(a)]. 11317 K(x \ y,((y / x) \ z) * y) = K(x \ y,z * x). [hyper(199,a,9934,a(flip),b,11316,a)]. 11319 (a(x,y,x) * ((z * u) * w)) / (u * w) = R(a(x,y,x) * z,u,w). [para(11276(a,1),11292(a,1,1))]. 11320 a(x,y,x) * (((z * u) * w) / (u * w)) = R(a(x,y,x) * z,u,w). [hyper(199,a,11282,a(flip),b,11319,a(flip)),flip(a)]. 11321 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(30(a,2),11320(a,1,2)),flip(a)]. 11322 R(a(x,y,x) * z,u,w) * v5 = a(x,y,x) * (R(z,u,w) * v5). [para(11321(a,2),11276(a,1,1))]. 11323 R(x * a(y,z,y),u,w) * v5 = a(y,z,y) * (R(x,u,w) * v5). [para(9310(a,1),11322(a,1,1,1))]. 11324 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [hyper(199,a,9241,a(flip),b,11323,a(flip))]. 11325 a(x,R(y,z,u),x) = a(x,y,x). [hyper(18,a,9187,a,b,11324,a),flip(a)]. 11326 R(a(x,y,x),z,u) = a(x,R(y,w,v5),x). [hyper(199,a,11271,a,b,11325,a),flip(a)]. 11327 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(11325(a,1),9207(a,1,1)),flip(a)]. 11328 a(x,R(y,z,u),x) != w | a(x,y,x) = w. [para(11326(a,1),294(a,1)),flip(b)]. 11329 R(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(11326(a,2),11328(a,1))]. 11330 L(a(x,y,x),y,z) != u | a(x,y * K(z,y),x) = u. [para(9408(a,1),11329(a,1))]. 11332 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(199,a,9207,a(flip),b,11327,a)]. 11333 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(199,a,10374,a(flip),b,11290,a(flip)),flip(a)]. 11334 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(199,a,10335,a(flip),b,11307,a(flip))]. 11336 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(199,a,10741,a(flip),b,11315,a(flip)),flip(a)]. 11337 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5721(a,1),11336(a,1,1))]. 11342 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(11337(a,1),9034(a,1,1,1,2))]. 11344 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(10661,a,11342,a)]. 11345 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(140,a,11344,a),flip(a)]. 11346 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(11344(a,1),140(a,1))]. 11347 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(199,a,11337,a(flip),b,11345,a(flip)),flip(a)]. 11351 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(11345(a,1),11193(a,2,1,2))]. 11352 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(11345(a,1),11198(a,1,2,2))]. 11353 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6557,a,11347,a),flip(a)]. 11356 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(11337(a,1),11346(a,1))]. 11357 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(11356,a,11353,a)]. 11358 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4652(a,2),11351(a,2,1))]. 11359 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(8572,a,11352,a)]. 11360 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(199,a,9092,a,b,11359,a(flip)),flip(a)]. 11361 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(2964(a,1),11360(a,1,1))]. 11362 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(11189,a,11361,a)]. 11363 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(11362(a,2),11213(a,2,1)),flip(a)]. 11364 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(199,a,11215,a,b,11363,a(flip)),flip(a)]. 11365 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(z,u,w). [para(11276(a,2),11281(a,1,2))]. 11366 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(z,u,w). [para(11276(a,2),11365(a,1,2,1))]. 11367 ((a(x,y,x) * z) * (u * w)) \ (((a(x,y,x) * z) * u) * w) = a(z,u,w). [para(11276(a,2),11366(a,1,1))]. 11368 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(597,a,11367,a)]. 11369 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),11368(a,1,1)),flip(a)]. 11370 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(9204(a,1),11368(a,1,1))]. 11371 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9199(a,1),11368(a,1,1))]. 11372 a(L(x,y,x),z,u) = a(x,z,u). [para(9218(a,1),11369(a,1,1))]. 11373 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9167(a,1),11369(a,1,1))]. 11374 a(T(x \ y,y),z,u) = a(y / x,z,u). [para(681(a,1),11372(a,1,1))]. 11375 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(7275(a,2),11371(a,2,1)),flip(a)]. 11376 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(9722(a,1),11373(a,1,1))]. 11377 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(9874(a,1),11375(a,2,1))]. 11378 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(199,a,11376,a(flip),b,11377,a)]. 11379 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(104(a,1),11378(a,1,1,1,2))]. 11380 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(199,a,11370,a(flip),b,11379,a(flip))]. 11381 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(199,a,11169,a,b,11380,a(flip)),flip(a)]. 11382 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(3381(a,1),11380(a,1,1)),flip(a)]. 11383 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(11347(a,1),11380(a,2,1))]. 11384 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(9988(a,2),11382(a,2,1)),flip(a)]. 11385 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(5731(a,1),11384(a,2,1))]. 11386 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(199,a,11382,a(flip),b,11385,a)]. 11387 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(9988(a,1),11386(a,1,1))]. 11388 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(11347(a,1),11387(a,2,1))]. 11389 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(11276(a,1),11291(a,1,2))]. 11390 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(719,a,11389,a)]. 11391 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(199,a,11280,a(flip),b,11390,a(flip))]. 11393 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(14(a,1),11391(a,1,3)),flip(a)]. 11394 L(x,y,K(z,z * u)) = L(x,y,K(z,u)). [para(9185(a,1),11391(a,1,3)),flip(a)]. 11395 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(9310(a,1),11391(a,1,3))]. 11396 ((a(x,y,x) \ z) * u) * L(w,u,z) = (a(x,y,x) \ z) * (u * w). [para(11393(a,1),92(a,1,2))]. 11397 L(x,y,L(z,u,z)) = L(x,y,z). [para(9218(a,1),11393(a,1,3))]. 11398 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(9167(a,1),11393(a,1,3))]. 11399 L(x,y,T(z,y)) = L(x,y,L(z,u,z)). [hyper(199,a,9994,a,b,11397,a),flip(a)]. 11400 L(x,y,T(z * (u / z),z)) = L(x,y,u). [para(9202(a,1),11395(a,1,3))]. 11401 L(x,y,L(z,u,z)) != w | L(x,y,z) = w. [para(11399(a,1),10017(a,1))]. 11402 L(x * y,z,K(x,y)) = x * y. [hyper(7477,a,11394,a)]. 11403 (K(x,y) * z) * (x * y) = K(x,y) * (z * (x * y)). [para(11402(a,1),92(a,1,2))]. 11404 L(x,y / z,K(y,z)) = x. [hyper(7242,a,11398,a)]. 11405 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(11404(a,1),5300(a,1,2)),flip(a)]. 11406 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(59(a,1),11400(a,1,3,1)),flip(a)]. 11407 L(x,y,z * (u / z)) = L(x,y,T(u,z)). [para(193(a,1),11406(a,1,3))]. 11408 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5037,a,11405,a)]. 11409 R(K(x,y),x \ y,z) = K(x,y). [hyper(8595,a,11408,a)]. 11410 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),11409(a,1,2))]. 11412 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(199,a,10737,a,b,11410,a(flip)),flip(a)]. 11413 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(11410(a,1),9692(a,2,2))]. 11415 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(11412(a,1),10742(a,1,1))]. 11416 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(199,a,4652,a,b,11413,a)]. 11418 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(199,a,4287,a(flip),b,11416,a(flip)),flip(a)]. 11419 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),11418(a,1,2,1,2))]. 11420 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(199,a,8867,a,b,11419,a(flip)),flip(a)]. 11421 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(199,a,4652,a(flip),b,11420,a),flip(a)]. 11422 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,4652,a(flip),b,11421,a),flip(a)]. 11423 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(8851,a,11422,a)]. 11424 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(11422(a,1),7263(a,1,1,2))]. 11425 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(11423(a,1),5835(a,1,1))]. 11426 (x * y) \ (z * (y * x)) = T(K(y,x) * z,y * x). [hyper(154,a,11403,a,b,9882,a),flip(a)]. 11428 (x * y) \ (z * (y * x)) = T(K(x,y) * z,y * x). [para(4738(a,1),11426(a,2,1,1))]. 11429 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(7514,a,11424,a),flip(a)]. 11430 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(199,a,8176,a(flip),b,11429,a(flip)),flip(a)]. 11431 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9011,a,11430,a)]. 11432 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(199,a,5835,a(flip),b,11425,a(flip))]. 11433 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(199,a,11423,a(flip),b,11415,a)]. 11435 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),11433(a,2,2,2))]. 11436 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(11346,a,11435,a)]. 11437 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4741(a,1),11333(a,2,2))]. 11438 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9197,a,11437,a)]. 11439 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(199,a,5741,a(flip),b,5254,a(flip))]. 11441 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(199,a,5857,a(flip),b,11439,a(flip)),flip(a)]. 11442 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(199,a,6667,a(flip),b,11441,a(flip)),flip(a)]. 11443 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(15(a,1),11442(a,1,2,1))]. 11444 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(199,a,8153,a(flip),b,11443,a(flip)),flip(a)]. 11445 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(199,a,7695,a(flip),b,11444,a)]. 11446 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(4871(a,1),5160(a,1,1))]. 11447 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(4871(a,1),11446(a,1,2,1,1)),flip(a)]. 11448 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(4912(a,1),11447(a,2,2,1))]. 11449 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(5703(a,1),11448(a,2,2))]. 11450 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(4600(a,1),11449(a,1,1,1)),flip(a)]. 11451 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(5703(a,1),11450(a,2,1,2))]. 11452 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(199,a,11169,a(flip),b,11451,a(flip))]. 11453 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(199,a,11383,a(flip),b,11452,a)]. 11454 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(11381(a,1),11453(a,1,1)),flip(a)]. 11455 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(4828(a,1),10150(a,1,2)),flip(a)]. 11456 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(199,a,11334,a,b,11455,a)]. 11458 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(32(a,2),11456(a,1,2))]. 11459 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9211,a,11458,a)]. 11460 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(199,a,11274,a(flip),b,11459,a)]. 11461 L(a(x,y,x),z,u) = a(x,y,x). [hyper(199,a,10891,a(flip),b,11460,a(flip)),flip(a)]. 11462 a(x,y * K(z,y),x) = a(x,y,x). [hyper(11330,a,11461,a)]. 11465 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(11461(a,1),92(a,1,2))]. 11466 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(11461(a,1),11438(a,1,1))]. 11468 a(x,T(y,z),x) = a(x,y,x). [para(4685(a,2),11462(a,1,2))]. 11469 a(x,y / z,x) = a(x,z \ y,x). [para(4665(a,1),11462(a,1,2))]. 11472 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(169(a,1),11468(a,1,2)),flip(a)]. 11473 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(448(a,1),11468(a,1,2)),flip(a)]. 11475 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(199,a,10269,a(flip),b,11469,a)]. 11476 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(10756(a,1),11475(a,1,2,2)),flip(a)]. 11477 R(x,y,a(z,u,z)) = x. [hyper(4509,a,11465,a)]. 11478 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(522,a,11465,a)]. 11479 (x * y) * a(z,u,z) = x * (a(z,u,z) * y). [para(9310(a,2),11465(a,2,2))]. 11480 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(9443,a,11477,a)]. 11482 R(x,y,T(a(z,u,z),w)) = x. [para(9308(a,2),11477(a,1,3))]. 11483 (x / T(a(y,z,y),u)) / w = x / (w * T(a(y,z,y),u)). [hyper(199,a,441,a(flip),b,11482,a(flip))]. 11484 (x \ y) * a(y,z,y) = x \ L(y,z,y). [para(9183(a,1),11478(a,1,2)),flip(a)]. 11485 (x \ (y \ z)) * a(y,u,y) = x \ (L(y,u,y) \ z). [para(9225(a,1),11478(a,1,2)),flip(a)]. 11486 (x \ (y * z)) * a(y,u,y) = x \ (L(y,u,y) * z). [para(10867(a,1),11478(a,1,2)),flip(a)]. 11487 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [hyper(9314,a,11479,a)]. 11488 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(18,a,11298,a(flip),b,11479,a)]. 11489 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [hyper(499,a,11487,a)]. 11490 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(68,a,80,a(flip),b,11487,a)]. 11492 L(x,a(y,z,y),u) = x. [hyper(391,a,11488,a)]. 11493 a(x,y,x) * ((z * a(x,y,x)) \ u) = z \ u. [hyper(328,a,11488,a),flip(a)]. 11494 L(x,a(y,z,y),u) = L(x,w,a(v5,v6,v5)). [hyper(199,a,11280,a,b,11492,a)]. 11495 L(x,y,a(z,u,z)) != w | w = x. [para(11494(a,1),3860(a,1))]. 11496 a(x,y,x) * (z \ x) = z \ R(x,y,x). [para(9179(a,1),11489(a,1,2)),flip(a)]. 11497 a(x,x \ y,x) * (z \ K(x,y)) = z \ K(x,x \ y). [para(9199(a,1),11489(a,1,2)),flip(a)]. 11498 (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). [hyper(199,a,11277,a(flip),b,11490,a(flip)),flip(a)]. 11499 a(x,y,x) * (T(x * y,x) \ z) = (y * x) \ z. [para(9188(a,1),11493(a,1,2,1))]. 11500 (x * (a(y,z,y) \ u)) * L(w,u,x) = (a(y,z,y) \ x) * (u * w). [para(11498(a,1),11396(a,1,1))]. 11501 T(x,y * a(z,u,z)) = T(x,y). [hyper(11495,a,11480,a)]. 11503 T(x,y * a(z,u,z)) = x * K(x,y). [hyper(199,a,4652,a(flip),b,11501,a)]. 11504 T(x,y * L(z,u,z)) = T(x,y * z). [para(9217(a,1),11501(a,1,2)),flip(a)]. 11505 T(x,T(y,z) / z) = T(x,z \ y). [para(9192(a,1),11501(a,1,2))]. 11506 T(x,L(y,z,y) * u) = T(x,y * u). [para(10867(a,1),11501(a,1,2))]. 11507 T(x,y * (z * a(u,w,u))) = T(x,y * z). [para(11465(a,1),11501(a,1,2))]. 11508 T(x,y \ L(z,u,z)) = T(x,y \ z). [para(11484(a,1),11501(a,1,2))]. 11509 T(x,y * (a(z,u,z) * w)) = T(x,y * w). [para(11479(a,1),11501(a,1,2))]. 11510 T(x,y \ T(z,y)) = T(x,z / y). [para(47(a,1),11505(a,1,2,1)),flip(a)]. 11511 T(x,T(y,z) \ z) = T(x,z / y). [para(3935(a,2),11510(a,1,2))]. 11512 T(x,(T(y,z) / z) \ T(u,z \ y)) = T(x,u / (T(y,z) / z)). [para(11505(a,1),11510(a,1,2,2))]. 11513 K(x,y * a(z,u,z)) = K(x,y). [hyper(4708,a,11503,a)]. 11514 K(x,a(y,z,y) \ u) = K(x,u). [para(9307(a,1),11513(a,1,2)),flip(a)]. 11515 K(x,a(y,z,y) * u) = K(x,u). [para(9310(a,2),11513(a,1,2))]. 11516 K(x,y * R(z,u,z)) = K(x,y * z). [para(10857(a,1),11513(a,1,2))]. 11518 K(x,y \ L(z,u,z)) = K(x,y \ z). [para(11484(a,1),11513(a,1,2))]. 11519 K(x,y * (a(z,u,z) * w)) = K(x,y * w). [para(11479(a,1),11513(a,1,2))]. 11520 K(x,a(y,z,y) * u) = K(u,x). [hyper(199,a,4738,a,b,11515,a)]. 11521 K(x,T(y,z) \ z) = K(x,z / y). [para(9330(a,1),11515(a,1,2))]. 11522 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(10878(a,1),11515(a,1,2)),flip(a)]. 11523 K(x,(a(y,z,y) * u) * w) = K(x,u * w). [para(11276(a,2),11515(a,1,2))]. 11524 K(x,(a(y,z,y) * u) / w) = K(x,u / w). [para(11282(a,2),11515(a,1,2))]. 11525 K(x,(y * a(z,u,z)) \ w) = K(x,y \ w). [para(11493(a,1),11515(a,1,2)),flip(a)]. 11526 K(a(x,y,x) * z,u) = K(z,u). [hyper(4862,a,11520,a)]. 11527 K(x,a(y,z,y) * u) != w | K(x,u) = w. [para(11520(a,2),4862(a,1))]. 11528 K(x * a(y,z,y),u) = K(x,u). [para(9310(a,1),11526(a,1,1))]. 11532 K(T(x,y) / y,z) = K(y \ x,z). [para(9192(a,1),11528(a,1,1))]. 11533 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [para(11528(a,1),11297(a,2,2))]. 11534 K(x,y / T(z,y)) = K(x,z \ y). [para(47(a,1),11521(a,1,2,1)),flip(a)]. 11535 K(x,T(T(y,z) \ z,u)) = T(K(x,z / y),u). [para(11521(a,1),7084(a,2,1))]. 11536 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(11532(a,1),9041(a,2,2))]. 11537 K(x,(y \ z) \ 1) = K(x,y / T(z,y)). [hyper(199,a,6005,a,b,11534,a),flip(a)]. 11538 T(x,y * T(z / u,z)) = T(x,y * (u \ z)). [para(3920(a,1),11504(a,1,2,2))]. 11541 T(x,((y \ z) \ z) * u) = T(x,T(y,z) * u). [para(10944(a,1),11506(a,1,2,1)),flip(a)]. 11542 T(x,y \ ((z \ u) \ u)) = T(x,y \ T(z,u)). [para(10944(a,1),11508(a,1,2,2)),flip(a)]. 11543 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(7482(a,1),11516(a,1,2,2))]. 11544 K(x,y \ T(z / u,z)) = K(x,y \ (u \ z)). [para(3920(a,1),11518(a,1,2,2))]. 11545 K(x,y \ ((z \ u) \ u)) = K(x,y \ T(z,u)). [para(10944(a,1),11518(a,1,2,2)),flip(a)]. 11546 K(x,T(y,y * z) \ u) = K(x,T(y,z) \ u). [para(4061(a,1),11522(a,1,2,1)),flip(a)]. 11547 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(7482(a,1),11522(a,1,2,1))]. 11549 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(9330(a,1),11527(a,1,2))]. 11550 K(x,y * L(z,u,z)) != w | K(x,y * z) = w. [para(10870(a,1),11527(a,1,2))]. 11551 K(x,y / T(z,y)) != u | K(x,z \ y) = u. [para(11537(a,1),6055(a,1))]. 11552 T(x,y * (T(z,u) / u)) = T(x,y * (u \ z)). [para(9192(a,1),11507(a,1,2,2))]. 11553 T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). [para(9330(a,1),11509(a,1,2,2))]. 11554 K(x,y * K(z,z \ u)) = K(x,y * K(z,u)). [para(9199(a,1),11519(a,1,2,2))]. 11555 K(x,y * (T(z,u) \ u)) = K(x,y * (u / z)). [para(9330(a,1),11519(a,1,2,2))]. 11556 K(x,T(y * z,y) * u) = K(x,(z * y) * u). [para(9187(a,1),11523(a,1,2,1))]. 11557 K(x,K(y,y \ z) * u) = K(x,K(y,z) * u). [para(9199(a,1),11523(a,1,2,1))]. 11558 K(x,(y / L(z,u,z)) * w) = K(x,(y / z) * w). [para(9322(a,1),11523(a,1,2,1))]. 11559 K(x,(y \ R(z,u,z)) * w) = K(x,(y \ z) * w). [para(11496(a,1),11523(a,1,2,1))]. 11560 K(x,T(y * z,y) / u) = K(x,(z * y) / u). [para(9187(a,1),11524(a,1,2,1))]. 11561 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(9188(a,1),11525(a,1,2,1))]. 11562 K(x,(T(y,z) / z) \ u) = K(x,(z \ y) \ u). [para(9192(a,1),11525(a,1,2,1))]. 11563 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(9310(a,2),11525(a,1,2,1))]. 11564 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [para(11465(a,1),11525(a,1,2,1))]. 11565 K(x,(y \ L(z,u,z)) \ w) = K(x,(y \ z) \ w). [para(11484(a,1),11525(a,1,2,1))]. 11567 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(3935(a,1),11549(a,1,2))]. 11568 K(x,y / z) != u | K(x,T(z,y) \ y) = u. [para(47(a,1),11551(a,1,2,2))]. 11569 K(x,T(y,z) / z) != u | K(x,z \ y) = u. [para(3933(a,2),11551(a,1,2))]. 11570 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [para(9330(a,1),11563(a,1,2,1))]. 11571 K(x,(T(y,z) \ z) \ T(u,z / y)) != w | K(x,u / (T(y,z) \ z)) = w. [para(11511(a,1),11567(a,1,2,2))]. 11572 K(x,T(T(y,z) \ z,u)) = K(x,T(z / y,u)). [hyper(199,a,7084,a,b,11535,a)]. 11573 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(11536(a,1),6767(a,1,1,2))]. 11574 T(x,y * (x / z)) = T(x,y * (z \ x)). [hyper(6856,a,11538,a)]. 11575 T(x * (y / x),z * (y / u)) = x * (T(y,z * (u \ y)) / x). [para(11574(a,1),4378(a,2,2,1))]. 11576 T(x,T(y,y \ z) * u) = T(x,T(y,z) * u). [para(106(a,2),11541(a,1,2,1))]. 11577 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(11543(a,1),10569(a,1,2,1,1))]. 11578 K(x,(y / z) / y) = K(x,y \ (z \ y)). [hyper(11567,a,11544,a)]. 11580 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(199,a,8599,a,b,11578,a)]. 11582 K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). [para(106(a,2),11545(a,1,2,2))]. 11583 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(199,a,6232,a,b,11547,a)]. 11584 K(x,T(y \ z,z) \ u) = K(x,(z / y) \ u). [para(3915(a,1),11547(a,1,2,1)),flip(a)]. 11585 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(6844(a,1),11550(a,1,2,2))]. 11586 T(x,y * (T(z,T(u,u \ w)) \ ((u \ w) \ w))) = T(x,y * (T(u,u \ w) / z)). [para(355(a,1),11553(a,1,2,2))]. 11587 K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). [para(14(a,1),11556(a,1,2,1,1)),flip(a)]. 11588 K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). [para(4738(a,1),11557(a,2,2,1))]. 11589 K(x,K(y,z \ 1) * u) = K(x,K(y,z \ y) * u). [para(4850(a,1),11557(a,1,2,1))]. 11590 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),11561(a,1,2,1,1)),flip(a)]. 11591 T(x,(T(y,z) / z) \ u) = x * K(x,(z \ y) \ u). [para(11562(a,1),4652(a,2,2))]. 11592 T(x,T(y,y \ z) * u) = T(x,K(z,y) * (y * u)). [para(5006(a,2),11576(a,2,2))]. 11593 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [para(193(a,1),11587(a,1,2,1))]. 11594 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(199,a,11557,a(flip),b,11588,a(flip))]. 11595 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [para(4738(a,1),11588(a,1,2,1))]. 11596 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4627,a,11594,a)]. 11598 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5008(a,2),11594(a,1,2))]. 11599 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(4961(a,1),11594(a,1,2)),flip(a)]. 11600 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7329(a,1),11594(a,1,2)),flip(a)]. 11601 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(193(a,1),11590(a,1,2,1))]. 11602 K(x,((y \ x) * y) \ z) != u | K(x,x \ z) = u. [para(11590(a,2),6850(a,1))]. 11603 K(x,K(y,z \ y) * u) = K(x,K(z,z \ y) * u). [para(4921(a,1),11595(a,1,2,1)),flip(a)]. 11604 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(11596(a,1),4709(a,1))]. 11605 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(4898(a,2),11599(a,1,2))]. 11606 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [para(5122(a,2),11599(a,1,2)),flip(a)]. 11607 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [para(15(a,1),11601(a,1,2,1,2)),flip(a)]. 11609 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(11567,a,11605,a),flip(a)]. 11610 K(x,y * (T(z * u,z) \ w)) = K(x,y * ((u * z) \ w)). [para(11499(a,1),11519(a,1,2,2)),flip(a)]. 11611 K(x,(y / ((z \ u) \ u)) * w) = K(x,(y / T(z,u)) * w). [para(10944(a,1),11558(a,1,2,1,2)),flip(a)]. 11612 K(x,(y \ ((z \ u) \ u)) * w) = K(x,(y \ T(z,u)) * w). [para(7482(a,1),11559(a,1,2,1,2))]. 11613 K(x,(y \ T(z,z * u)) \ w) = K(x,(y \ T(z,u)) \ w). [para(6844(a,1),11565(a,1,2,1,2))]. 11614 K(x,(y \ ((z \ u) \ u)) \ w) = K(x,(y \ T(z,u)) \ w). [para(10944(a,1),11565(a,1,2,1,2)),flip(a)]. 11618 K(x,y \ (L(z,u,z) \ w)) = K(x,y \ (z \ w)). [para(11485(a,1),11513(a,1,2))]. 11619 K(x,y \ (((z \ u) \ u) \ w)) = K(x,y \ (T(z,u) \ w)). [para(10944(a,1),11618(a,1,2,2,1)),flip(a)]. 11620 K(x,y \ (L(z,u,z) * w)) = K(x,y \ (z * w)). [para(11486(a,1),11513(a,1,2))]. 11621 K(x,y \ T(z * u,u)) = K(x,y \ (u * z)). [para(4037(a,1),11620(a,1,2,2))]. 11622 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(16(a,1),11621(a,1,2,2,1)),flip(a)]. 11623 K(x,y \ ((1 / z) * T(u * z,u))) = K(x,y \ ((u * z) * (1 / z))). [para(1298(a,1),11621(a,1,2,2))]. 11625 L(K(x,(y \ z) \ (u * w)),y \ z,y) = K(x,z \ (y * T(w * u,u))). [para(11621(a,1),10446(a,1,1))]. 11627 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(199,a,4652,a,b,11533,a)]. 11629 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(11627(a,1),14(a,1,2)),flip(a)]. 11630 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [para(9310(a,2),11629(a,1,1))]. 11631 K(x,T(a(y,z,y) * u,w)) = K(x,T(u,w)). [para(11630(a,2),11515(a,1,2))]. 11632 K(x,T(L(y,z,y) * u,w)) = K(x,T(y * u,w)). [para(10877(a,1),11631(a,1,2,1))]. 11633 T(x,(T(y,z) / z) \ u) != w | T(x,(z \ y) \ u) = w. [para(11591(a,2),4655(a,1))]. 11634 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [hyper(199,a,11576,a(flip),b,11592,a(flip))]. 11635 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5113(a,1),11634(a,1,2))]. 11636 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(150(a,1),11635(a,1,2,1)),flip(a)]. 11637 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(9968,a,11636,a),flip(a)]. 11638 K(x,K(y,z \ y) * u) = K(x,K(y,z) * u). [hyper(199,a,11588,a(flip),b,11603,a)]. 11639 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(199,a,11557,a(flip),b,11603,a)]. 11640 K(x,K(y,z \ 1) * u) = K(x,K(y,z) * u). [hyper(199,a,11589,a,b,11638,a(flip)),flip(a)]. 11641 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(199,a,11589,a,b,11639,a(flip)),flip(a)]. 11642 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(199,a,11599,a(flip),b,11639,a(flip)),flip(a)]. 11643 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7329(a,1),11639(a,1,2))]. 11644 K(x,K(y,z \ u) * w) = K(x,K(y,u \ z) * w). [para(6005(a,1),11640(a,1,2,1))]. 11645 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(11604,a,11641,a)]. 11646 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(11641(a,1),6492(a,1,1))]. 11647 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(7882(a,1),11641(a,1,2)),flip(a)]. 11648 K(x,K(y,z \ 1) * u) != w | K(x,K(y,z) * u) = w. [para(11641(a,2),11604(a,1))]. 11649 K(x,K(x \ 1,y) * z) = K(x,z). [hyper(199,a,6819,a(flip),b,11645,a)]. 11650 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(199,a,4599,a(flip),b,11645,a)]. 11651 T(x,K(x \ 1,y) * z) = x * K(x,z). [para(11649(a,1),4652(a,2,2))]. 11652 K(x,y * K(z,x \ 1)) = K(x,y). [para(7317(a,1),11649(a,1,2)),flip(a)]. 11653 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(9123(a,1),11649(a,1,2))]. 11654 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6005(a,1),11652(a,1,2,2))]. 11655 T(T(x,K(y,z)),(z / y) * K(u,y \ 1)) = T(x,y \ (z * K(u,y \ 1))). [para(11652(a,1),7837(a,1,1,2))]. 11656 T(x,K(x \ 1,y) * z) = T(x,z). [hyper(199,a,4652,a,b,11651,a)]. 11657 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3085(a,1),11656(a,1,2,1))]. 11658 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(4961(a,1),11656(a,1,2))]. 11659 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5126(a,1),11656(a,1,2)),flip(a)]. 11660 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(11657(a,1),786(a,1,2,2)),flip(a)]. 11661 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(7660(a,1),11653(a,1,2,2))]. 11662 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(5950(a,1),11654(a,1,2))]. 11663 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(9929,a,11637,a),flip(a)]. 11664 T(x,y * T(T(z,u),u)) != w | T(x,y * z) = w. [para(11637(a,1),9929(a,1))]. 11665 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(149(a,1),11663(a,1,2,2,1)),flip(a)]. 11666 T(x,y * ((z * u) / z)) = x * K(x,y * T(u,z)). [hyper(199,a,4652,a(flip),b,11665,a)]. 11667 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(105(a,1),11664(a,1,2))]. 11668 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(4961(a,1),11642(a,2,2))]. 11669 K(x,T(y,z \ 1) \ u) = K(x,T(y,y * z) \ u). [para(6138(a,1),11668(a,1,2,1))]. 11670 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(11650(a,2),4709(a,1))]. 11671 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(199,a,9548,a(flip),b,11659,a(flip))]. 11672 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(32(a,2),11671(a,1,2,1)),flip(a)]. 11673 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6152(a,1),11661(a,1,2,2)),flip(a)]. 11674 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(11662(a,2),9890(a,2,2))]. 11675 K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). [hyper(4708,a,11666,a)]. 11676 K(x,y * T(z,y)) = K(x,z * y). [para(194(a,1),11675(a,1,2)),flip(a)]. 11677 K(x,T(y,z) * z) = K(x,z * y). [para(47(a,1),11676(a,1,2,2)),flip(a)]. 11678 K(x,T(y \ z,u) * y) = K(x,y * T(z / y,u)). [para(167(a,1),11677(a,1,2,1))]. 11679 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [hyper(199,a,11546,a(flip),b,11669,a)]. 11680 K(x,T(y * (z \ 1),z) \ u) = K(x,((z \ 1) * y) \ u). [hyper(199,a,11607,a(flip),b,11679,a(flip))]. 11681 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(199,a,11472,a(flip),b,11473,a(flip)),flip(a)]. 11682 T(x,y * (z \ K(u,u \ w))) = T(x,y * (z \ K(u,w))). [para(11497(a,1),11509(a,1,2,2))]. 11683 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(9200(a,1),11564(a,1,2,1,2))]. 11684 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(11681(a,2),9320(a,1,2,1)),flip(a)]. 11685 x / (y * T(a(z,u,z),w)) = (a(z,u,z) \ x) / y. [para(9321(a,1),11483(a,1,1)),flip(a)]. 11686 x / (y * T(a(z,u,z),w)) = a(z,u,z) \ (x / y). [hyper(199,a,11299,a(flip),b,11685,a)]. 11688 x / (y * a(z,u,z)) = a(z,u,z) \ (x / y). [para(104(a,1),11686(a,1,2,2))]. 11689 K(x,y / (z * a(u,w,u))) = K(x,y / z). [para(11688(a,2),11514(a,1,2))]. 11690 K(x,y / (L(z,u,z) * w)) = K(x,y / (z * w)). [para(10867(a,1),11689(a,1,2,2))]. 11691 K(x,y / T(z * u,u)) = K(x,y / (u * z)). [para(4037(a,1),11690(a,1,2,2))]. 11692 K(x,y / (z * (u / z))) = K(x,y / T(u,z)). [para(16(a,1),11691(a,1,2,2,1)),flip(a)]. 11693 K(x,y / ((z \ u) * z)) = K(x,y / T(u,z)). [para(193(a,2),11692(a,1,2,2))]. 11694 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(11583(a,2),6245(a,1))]. 11695 K(x,y * (T(z * u,u) \ w)) = K(x,y * ((T(z,u) * u) \ w)). [para(105(a,1),11610(a,1,2,2,1,1))]. 11696 K(x,(y / T(z,y)) * u) = K(x,(z \ y) * u). [para(60(a,1),11611(a,1,2,1)),flip(a)]. 11697 T(x,(y \ ((z \ u) \ u)) * w) = x * K(x,(y \ T(z,u)) * w). [para(11612(a,1),4652(a,2,2))]. 11698 K(x,T(y \ ((z \ u) \ u),w) * (1 / w)) = K(x,(y \ T(z,u)) * (1 / T(w,y \ ((z \ u) \ u)))). [para(5097(a,2),11612(a,1,2))]. 11699 K(x,(y \ T(T(z,T(z,u) * w),u)) \ v5) = K(x,(y \ T(T(z,u),w)) \ v5). [para(38(a,1),11613(a,1,2,1,2))]. 11700 K(x,(y \ T(z,u * z)) \ w) = K(x,(y \ T(z,u)) \ w). [para(4041(a,2),11613(a,1,2,1,2))]. 11701 K(x,(y \ T(z * (u / z),(z * (u / z)) * (z \ u))) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). [para(4391(a,1),11613(a,2,2,1,2))]. 11702 K(x,y \ (T(z,u) \ u)) = K(x,y \ (u / z)). [para(3915(a,1),11619(a,1,2,2)),flip(a)]. 11703 K(x,y \ (T(z,(u \ w) \ w) \ T(u,u \ w))) = K(x,y \ (((u \ w) \ w) / z)). [para(355(a,2),11702(a,1,2,2))]. 11704 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(5270(a,1),11647(a,1,2)),flip(a)]. 11705 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(199,a,8543,a(flip),b,11672,a(flip)),flip(a)]. 11706 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(199,a,11658,a(flip),b,11705,a)]. 11707 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(199,a,8498,a(flip),b,11706,a(flip)),flip(a)]. 11708 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(10131,a,11707,a),flip(a)]. 11709 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(199,a,7703,a,b,11708,a(flip)),flip(a)]. 11710 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(199,a,9013,a(flip),b,11708,a(flip))]. 11711 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(11709(a,1),6469(a,1,1))]. 11712 K(x,(y \ T(z,T(u \ z,w))) \ v5) = K(x,(y \ T(z,w \ (u \ w))) \ v5). [para(11710(a,1),11613(a,1,2,1,2))]. 11713 K(x,(((y \ z) \ 1) * z) \ u) = K(x,(z * ((z / y) \ 1)) \ u). [para(6682(a,1),11680(a,1,2,1)),flip(a)]. 11714 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(199,a,11469,a(flip),b,11466,a)]. 11716 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [hyper(5154,a,11711,a),flip(a)]. 11717 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(199,a,10244,a,b,11716,a(flip)),flip(a)]. 11718 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),11717(a,1,2))]. 11719 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),11714(a,2,2))]. 11720 a(x,L(y,z,u),x) = a(x,y,x). [hyper(199,a,11461,a(flip),b,11719,a(flip))]. 11722 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(198(a,1),11720(a,1,2))]. 11723 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1592(a,2),11720(a,1,2)),flip(a)]. 11724 R(x,L(y,z,u),x) = x * a(x,y,x). [para(11720(a,1),9177(a,1,2)),flip(a)]. 11725 R(x,L(y,z,u),x) = R(x,y,x). [hyper(199,a,9177,a(flip),b,11724,a)]. 11726 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(11723(a,1),9218(a,1,1)),flip(a)]. 11727 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(199,a,9218,a(flip),b,11726,a)]. 11728 T(x,(y \ z) \ T(u,y \ z)) = T(x,u / (T(z,y) / y)). [hyper(11633,a,11512,a)]. 11729 T(x,y / (T(z,u) / u)) = T(x,y / (u \ z)). [hyper(199,a,11510,a(flip),b,11728,a(flip))]. 11730 T(x * (y / x),z * (y / u)) = T(x * (y / x),z * (u \ y)). [hyper(199,a,4378,a,b,11575,a)]. 11731 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(185(a,2),11609(a,1,2,2,2))]. 11732 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(11731(a,1),11567(a,1))]. 11733 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(11673(a,1),10165(a,1,1))]. 11734 K(x,y * (T(z * u,u) \ w)) = K(x,y * ((u * z) \ w)). [para(166(a,1),11695(a,2,2,2,1))]. 11735 K(x,y * ((z * (u / z)) \ w)) = K(x,y * (T(u,z) \ w)). [para(16(a,1),11734(a,1,2,2,1,1)),flip(a)]. 11736 K(x,T(y / z,z) * (((y / z) * z) \ u)) = K(x,(y / z) * (T(y,z) \ u)). [para(9157(a,2),11735(a,1,2))]. 11737 T(x,(y \ ((z \ u) \ u)) * w) != v5 | T(x,(y \ T(z,u)) * w) = v5. [para(11697(a,2),4655(a,1))]. 11738 (x * (a(y,z,y) \ u)) * L(w,u,x) = x * (a(y,z,y) \ (u * w)). [hyper(199,a,11498,a(flip),b,11500,a)]. 11739 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(7132,a,11733,a)]. 11740 (x * (a(y,z,y) \ u)) * L(w,u,x) = x * ((a(y,z,y) \ u) * w). [para(11277(a,1),11738(a,2,2))]. 11741 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(7377,a,11739,a),flip(a)]. 11743 L(x,a(y,z,y) \ u,w) = L(x,u,w). [hyper(391,a,11740,a)]. 11744 L(x,a(y,z,y) * u,w) = L(x,u,w). [para(13(a,1),11743(a,1,2)),flip(a)]. 11745 L(x,T(y * z,y),u) = L(x,z * y,u). [para(9187(a,1),11744(a,1,2))]. 11746 L(x,T(y * (z / y),y),u) = L(x,z,u). [para(16(a,1),11745(a,2,2))]. 11747 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(199,a,11600,a(flip),b,11643,a)]. 11748 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(9250(a,1),11747(a,1,2))]. 11749 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(5779(a,1),11748(a,1,2,2,2)),flip(a)]. 11750 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),11573(a,1,1))]. 11751 L(x,K(y \ x,z),x) = x. [hyper(6101,a,11750,a)]. 11753 L(x,K(y,z),x) = x. [para(63(a,1),11751(a,1,2,1))]. 11754 T(K(x,y) * z,z) = z * K(x,y). [hyper(7694,a,11753,a)]. 11757 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(4885(a,1),11754(a,1,1))]. 11758 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(5856,a,11757,a)]. 11759 K(x,y \ (z * T(u * w,w))) = K(x,y \ (z * (w * u))). [hyper(10483,a,11625,a),flip(a)]. 11760 K(x,y \ (z * (u * (w / u)))) = K(x,y \ (z * T(w,u))). [para(16(a,1),11759(a,1,2,2,2,1)),flip(a)]. 11761 K(x,y \ (z * T(u * w,u))) = K(x,y \ (z * (w * u))). [para(194(a,1),11760(a,1,2,2,2)),flip(a)]. 11762 K(x,y \ ((1 / z) * (z * u))) = K(x,y \ ((u * z) * (1 / z))). [hyper(199,a,11623,a(flip),b,11761,a(flip))]. 11763 K(x,y \ ((1 / z) * (z * u))) = K(x,y \ ((u * z) * (z \ 1))). [hyper(199,a,5497,a(flip),b,11762,a)]. 11764 K(x,y \ ((1 / z) * (z * u))) = K(x,y \ R(u,z,z \ 1)). [para(329(a,1),11763(a,2,2,2))]. 11765 K(x,y \ R(z,u,u \ 1)) = K(x,y \ L(z,u,u \ 1)). [para(2801(a,1),11764(a,1,2,2)),flip(a)]. 11766 K(x,y \ L(y,z,z \ 1)) = K(x,a(y,z,z \ 1)). [para(601(a,1),11765(a,1,2)),flip(a)]. 11767 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(11325(a,1),11684(a,2,2,1))]. 11768 L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. [para(11767(a,2),9332(a,1))]. 11771 K(x,(y \ T(T(z,z * u),w)) \ v5) = K(x,(y \ T(T(z,w),u)) \ v5). [para(6838(a,1),11699(a,1,2,1,2,1))]. 11773 K(x,(y \ z) * (((z / y) * y) \ u)) = K(x,(z / y) * (T(z,y) \ u)). [para(107(a,1),11736(a,1,2,1))]. 11774 K(x,(y / z) * (T(y,z) \ u)) = K(x,(z \ y) * (y \ u)). [para(16(a,1),11773(a,1,2,2,1)),flip(a)]. 11775 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(6552,a,11646,a),flip(a)]. 11776 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6448(a,1),11775(a,1,2,1))]. 11777 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(4738(a,1),11776(a,1,2,1,2))]. 11778 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(7767(a,1),11776(a,2,2))]. 11779 T(x,y * (T(z,T(u,w)) \ ((u \ w) \ w))) = T(x,y * (T(u,u \ w) / z)). [para(7078(a,1),11586(a,1,2,2,1))]. 11780 K(x,y \ (T(z,T(u,w)) \ T(u,u \ w))) = K(x,y \ (((u \ w) \ w) / z)). [para(7074(a,1),11703(a,1,2,2,1))]. 11781 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7084(a,2),11660(a,2,2,1))]. 11782 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(9069(a,1),11781(a,2,2))]. 11783 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(199,a,105,a(flip),b,11782,a)]. 11784 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7084(a,2),11783(a,1,1,2))]. 11785 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(6732(a,1),11784(a,1,1))]. 11786 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(199,a,5866,a,b,11785,a(flip)),flip(a)]. 11788 L(x,y \ 1,K(y,z)) = x. [hyper(3277,a,11786,a)]. 11789 L(x,y \ 1,K(z,y)) = x. [para(4738(a,1),11788(a,1,3))]. 11790 L(x,y,K(z,y \ 1)) = x. [hyper(199,a,4488,a(flip),b,11789,a(flip)),flip(a)]. 11795 (K(x,y \ 1) * y) \ z = y \ (K(x,y \ 1) * z). [hyper(199,a,5043,a(flip),b,11790,a(flip)),flip(a)]. 11797 (x * K(y,x \ 1)) \ z = x \ (K(y,x \ 1) * z). [para(1985(a,1),11795(a,1,1))]. 11798 (x * K(y,x \ 1)) \ z = K(y,x \ 1) * (x \ z). [hyper(199,a,10528,a(flip),b,11797,a)]. 11799 K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,y \ (K(u,z \ 1) * (z \ w))). [para(11798(a,1),6308(a,2,2,2))]. 11800 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(9252(a,1),11749(a,2,2))]. 11801 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(5131(a,1),11800(a,1,2))]. 11802 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(5908(a,1),11801(a,1,2)),flip(a)]. 11804 K(x,T(y / z,y / (u \ z))) != w | K(x,T(y / z,u)) = w. [para(11802(a,2),7973(a,1))]. 11805 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(7272(a,1),11778(a,1,2,2,2))]. 11807 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(7716(a,2),11805(a,1,2,2))]. 11808 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(7860(a,1),11807(a,1,2)),flip(a)]. 11809 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(199,a,6042,a(flip),b,11808,a)]. 11810 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [para(7459(a,1),11809(a,1,2,1,1))]. 11811 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6165,a,11810,a),flip(a)]. 11814 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [para(4738(a,1),11811(a,1,2,2))]. 11815 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(199,a,6423,a(flip),b,11814,a(flip))]. 11816 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(199,a,6422,a(flip),b,11815,a(flip))]. 11817 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(60(a,1),11816(a,1,2,2,2)),flip(a)]. 11818 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8075(a,1),11817(a,1,2,2))]. 11819 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(199,a,10285,a(flip),b,11577,a(flip))]. 11820 K(x,(y \ T(z * (u / z),u * (u / z))) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). [para(1178(a,1),11701(a,1,2,1,2,2))]. 11821 K(x,(y \ T(z * (u / z),u * (z \ u))) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). [para(11730(a,1),11820(a,1,2,1,2))]. 11822 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(10132,a,11476,a)]. 11823 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(199,a,11722,a(flip),b,11822,a(flip)),flip(a)]. 11824 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(28(a,2),11823(a,1,2,2))]. 11825 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4547(a,1),11824(a,1,2))]. 11826 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(199,a,4524,a(flip),b,11825,a(flip)),flip(a)]. 11827 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(199,a,11469,a(flip),b,11826,a),flip(a)]. 11829 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(133(a,1),11827(a,1,2,2))]. 11830 (((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(11829(a,1),9441(a,1,1,2))]. 11831 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(5442(a,1),10765(a,1,1))]. 11832 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14(a,1),11831(a,1,2,2,1,2))]. 11834 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8334(a,1),11832(a,1,2))]. 11835 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(11431(a,1),11834(a,1,2))]. 11836 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7549(a,1),11835(a,1,2)),flip(a)]. 11837 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) != u | L(x,y / z,x) = u. [para(11836(a,2),5489(a,1))]. 11838 L(x,y / z,x) = L(x,z \ y,x). [hyper(11837,a,11718,a)]. 11840 L(x,(y \ z) \ z,x) = L(x,y,x). [para(60(a,1),11838(a,1,2)),flip(a)]. 11841 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3587(a,2),11838(a,1,2))]. 11842 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4799(a,2),11838(a,1,2))]. 11844 L(x,y * K(z,y),x) = L(x,y,x). [para(5548(a,1),11840(a,1,2)),flip(a)]. 11845 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5405(a,1),11844(a,1,2))]. 11847 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(199,a,11845,a(flip),b,11842,a(flip))]. 11848 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(11768,a,11847,a),flip(a)]. 11850 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),11848(a,2,2))]. 11851 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(199,a,6844,a(flip),b,11850,a(flip))]. 11852 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),11841(a,2,2))]. 11853 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(199,a,11850,a(flip),b,11852,a(flip)),flip(a)]. 11855 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(121(a,1),11071(a,2,2))]. 11856 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(199,a,4644,a,b,11855,a)]. 11858 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(199,a,7716,a,b,11856,a)]. 11859 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(11106(a,1),11858(a,1,2))]. 11860 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(8232,a,11859,a)]. 11861 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(7739,a,11860,a)]. 11862 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(199,a,7149,a(flip),b,11861,a(flip)),flip(a)]. 11864 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4829(a,1),11862(a,1,2))]. 11865 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(16(a,1),3163(a,1,2,1))]. 11866 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(57(a,1),11865(a,1,2))]. 11868 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(253,a,11866,a)]. 11871 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2568(a,1),11868(a,1,1))]. 11872 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(199,a,9901,a(flip),b,11871,a(flip))]. 11873 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(199,a,4537,a(flip),b,11872,a)]. 11874 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(199,a,6774,a(flip),b,11873,a)]. 11875 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(11873(a,2),9902(a,1,1))]. 11876 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1001(a,1),11874(a,1,2))]. 11877 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(11876(a,1),4643(a,2,1)),flip(a)]. 11878 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(199,a,5286,a,b,11877,a)]. 11879 (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(11877(a,2),5289(a,1))]. 11880 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(11468(a,1),9205(a,1,1))]. 11881 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(9509(a,1),11880(a,1,1))]. 11883 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(6207(a,1),9372(a,1,2,1))]. 11884 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3711(a,1),11883(a,1,2,2)),flip(a)]. 11885 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(7501(a,1),11884(a,2,2))]. 11886 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(13(a,1),11885(a,2,2,1))]. 11887 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(10776(a,1),11886(a,1,1,2))]. 11888 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8262(a,1),11887(a,1,1))]. 11890 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(10776(a,1),11888(a,1,2,1))]. 11891 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(5211(a,1),11890(a,1,2))]. 11892 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7646(a,1),11891(a,1,2))]. 11893 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(5842(a,1),11892(a,1,2)),flip(a)]. 11894 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(199,a,6924,a,b,11893,a)]. 11896 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(8324(a,1),5872(a,1,1)),flip(a)]. 11897 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(199,a,6921,a,b,11896,a)]. 11899 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(4669(a,1),11897(a,2,1))]. 11900 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(11725(a,1),11899(a,1,2,1))]. 11901 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(11725(a,1),11900(a,1,2,2,1))]. 11903 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(4041(a,2),11901(a,1,2))]. 11905 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4024(a,1),11903(a,1,2,2))]. 11906 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(9920(a,1),11905(a,1,2))]. 11907 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(686(a,1),11906(a,1,2)),flip(a)]. 11908 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(199,a,9059,a(flip),b,11907,a(flip)),flip(a)]. 11909 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(68,a,11908,a(flip),b,4652,a(flip))]. 11911 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9165,a,11909,a),flip(a)]. 11912 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(199,a,10465,a(flip),b,11911,a)]. 11913 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),11912(a,1,1))]. 11914 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(199,a,6463,a(flip),b,11913,a(flip)),flip(a)]. 11915 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(10426(a,1),11914(a,2,3))]. 11916 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(199,a,10548,a(flip),b,11915,a)]. 11918 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(10505,a,11916,a)]. 11919 L(x,a(y,z,K(u,w)),u) = x. [para(11916(a,1),4010(a,1,2))]. 11920 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(11916(a,1),10562(a,1,3)),flip(a)]. 11921 L(x,a(y,z,K(u,w)),w) = x. [para(4738(a,1),11919(a,1,2,3))]. 11922 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(199,a,5537,a,b,11918,a(flip)),flip(a)]. 11923 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),11918(a,1,2))]. 11924 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(4992,a,11923,a)]. 11925 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(10502,a,11924,a)]. 11926 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(10419(a,1),11925(a,2,3))]. 11927 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(63(a,1),11926(a,2,3,1))]. 11930 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(11927(a,1),5012(a,1,2,1)),flip(a)]. 11931 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(199,a,9378,a(flip),b,11930,a)]. 11932 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(11931(a,1),4652(a,2,2))]. 11933 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(11931(a,1),10556(a,1,3)),flip(a)]. 11934 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(11933(a,1),10667(a,1,1))]. 11935 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(10562(a,1),11920(a,2,3))]. 11936 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [para(8613(a,1),11935(a,1,3))]. 11937 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(199,a,10553,a(flip),b,11936,a(flip)),flip(a)]. 11938 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(11937(a,1),9001(a,1,2))]. 11939 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(11727(a,1),11922(a,1,2))]. 11940 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(5347,a,11939,a)]. 11941 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(199,a,7684,a(flip),b,11940,a(flip)),flip(a)]. 11942 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(10972(a,1),11938(a,1,2)),flip(a)]. 11943 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(199,a,12,a(flip),b,11942,a)]. 11945 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(11943(a,1),9388(a,1,2,2)),flip(a)]. 11946 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(199,a,9388,a(flip),b,11945,a)]. 11947 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(11946(a,1),4652(a,2,2))]. 11948 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(199,a,4652,a,b,11947,a)]. 11949 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(11948(a,1),11941(a,1,2,1))]. 11950 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(4865,a,11949,a)]. 11951 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(10973(a,1),11934(a,1,1))]. 11952 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(71,a,11951,a)]. 11954 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(199,a,6468,a(flip),b,11952,a(flip)),flip(a)]. 11956 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(11954(a,1),4652(a,2,2)),flip(a)]. 11959 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4655,a,11956,a),flip(a)]. 11960 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(11959(a,2),606(a,1,1))]. 11962 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(199,a,11932,a(flip),b,11960,a)]. 11963 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(8324(a,1),5873(a,1,1)),flip(a)]. 11964 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(199,a,6921,a,b,11963,a)]. 11966 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(4669(a,1),11964(a,2,1))]. 11967 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(199,a,9060,a(flip),b,11966,a)]. 11968 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(4042(a,2),11967(a,1,2))]. 11969 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(8320(a,1),11968(a,1,2,1))]. 11970 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4041(a,2),11969(a,1,2,1))]. 11972 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(11332(a,1),11970(a,1,2))]. 11973 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(688(a,1),11972(a,1,2)),flip(a)]. 11975 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(11973(a,1),4596(a,2,2)),flip(a)]. 11976 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(199,a,11894,a(flip),b,11975,a(flip)),flip(a)]. 11977 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(11172(a,1),11976(a,1,1))]. 11978 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(8105(a,1),10583(a,1,1,1))]. 11979 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(9371(a,1),11978(a,1,2)),flip(a)]. 11980 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(199,a,6577,a(flip),b,11979,a)]. 11981 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(8327(a,1),11980(a,2,1,2))]. 11982 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(6873(a,1),11981(a,2,1))]. 11983 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3087(a,1),11982(a,2,1,1))]. 11984 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6216(a,1),11983(a,2,2))]. 11985 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5530(a,1),10584(a,1,1,1))]. 11986 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(10581(a,1),11985(a,1,1))]. 11987 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(10581(a,1),11986(a,1,2,1))]. 11988 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5530(a,1),11987(a,1,2,2,2))]. 11989 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(10300(a,1),10301(a,2,2,1,1))]. 11990 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(199,a,1538,a(flip),b,11989,a)]. 11991 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(1739(a,1),11990(a,2,2))]. 11992 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(774(a,1),11991(a,2,2,1))]. 11993 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(1269(a,1),11992(a,2,2,1,2))]. 11994 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(1538(a,1),11993(a,1,1))]. 11995 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(11321(a,2),11994(a,1,1,2))]. 11996 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),11995(a,1,1,2,1)),flip(a)]. 11997 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(199,a,8620,a(flip),b,8909,a)]. 11998 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(199,a,7716,a(flip),b,11997,a)]. 11999 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2724(a,1),8874(a,1,1,1,2))]. 12000 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(199,a,13,a(flip),b,10319,a)]. 12002 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(10317(a,1),12000(a,1,3))]. 12004 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(11166(a,1),12002(a,1,3))]. 12005 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12004(a,1),92(a,1,2))]. 12006 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(199,a,11199,a(flip),b,12005,a(flip))]. 12007 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5014(a,1),12006(a,1,2))]. 12008 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(18,a,166,a,b,12007,a)]. 12009 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(199,a,11977,a(flip),b,12008,a),flip(a)]. 12010 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(544(a,1),12009(a,2,1,2))]. 12011 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(6205,a,12010,a)]. 12012 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),12010(a,1,1))]. 12013 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(199,a,8651,a(flip),b,12012,a(flip)),flip(a)]. 12014 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(199,a,9979,a(flip),b,12013,a(flip)),flip(a)]. 12015 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4920(a,1),12014(a,2,1))]. 12016 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(199,a,11373,a(flip),b,12015,a)]. 12017 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(199,a,5537,a,b,12016,a(flip)),flip(a)]. 12018 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(199,a,6027,a(flip),b,12016,a(flip)),flip(a)]. 12019 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12010(a,1),12011(a,1,1))]. 12020 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(199,a,11454,a,b,12019,a(flip)),flip(a)]. 12021 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(199,a,11388,a(flip),b,12020,a(flip)),flip(a)]. 12022 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(11853(a,1),12017(a,1,2))]. 12023 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(5347,a,12022,a)]. 12024 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(11996(a,1),12018(a,1,1))]. 12025 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),12024(a,1,2))]. 12026 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4673,a,12025,a),flip(a)]. 12028 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12026(a,1),11214(a,2,2))]. 12029 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12026(a,2),12023(a,1,1))]. 12030 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(199,a,11364,a(flip),b,12028,a(flip))]. 12031 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(199,a,8794,a,b,12030,a(flip)),flip(a)]. 12032 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7716(a,2),12031(a,2,1))]. 12033 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(8825,a,12032,a)]. 12034 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(199,a,9095,a(flip),b,12033,a(flip)),flip(a)]. 12035 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(4738(a,1),12034(a,2,1,2))]. 12036 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8454(a,1),12035(a,2,1))]. 12037 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(9115,a,12036,a)]. 12040 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(199,a,9597,a(flip),b,12037,a(flip)),flip(a)]. 12042 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(10853,a,12029,a)]. 12043 a(x,a(y,z,u),x) = 1. [hyper(67,a,12042,a,b,9307,a),flip(a)]. 12044 L(x,a(y,z,u),x) = x. [hyper(33,a,12043,a)]. 12046 T(x * a(y,z,u),x) = a(y,z,u) * x. [para(12044(a,1),969(a,1,2)),flip(a)]. 12047 (a(x,y,z) * u) / (u * a(x,y,z)) = K(u,u * a(x,y,z)). [hyper(69,a,12046,a(flip),b,4736,a(flip))]. 12048 K(x,x * a(y,z,u)) = K(a(y,z,u),x). [hyper(4785,a,12047,a),flip(a)]. 12049 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(199,a,4738,a,b,12048,a)]. 12050 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(199,a,11950,a(flip),b,12049,a(flip)),flip(a)]. 12051 K(x,a(y,z,z \ 1)) = 1. [hyper(199,a,6720,a(flip),b,12050,a(flip))]. 12052 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [para(12050(a,2),4652(a,2,2)),flip(a)]. 12053 x * (a(y,z,K(x,u)) * w) = T(x,a(y,z,u)) * w. [para(12050(a,2),4626(a,1,2,1))]. 12054 a(x,y,K(z,u)) * (K(u,a(x,y,z)) * w) = w. [para(12050(a,1),9379(a,1,2,1))]. 12055 T(x,a(y,z,z \ 1)) = x. [hyper(37,a,12051,a)]. 12056 K(x,y \ L(y,z,z \ 1)) = 1. [hyper(199,a,11766,a,b,12051,a(flip)),flip(a)]. 12057 T(a(x,y,y \ 1),z) = a(x,y,y \ 1). [hyper(35,a,12055,a)]. 12060 T(x \ L(x,y,y \ 1),z) = 1 * (x \ L(x,y,y \ 1)). [para(12056(a,1),4736(a,2,1))]. 12062 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(5018,a,12054,a),flip(a)]. 12063 K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(12054(a,1),4915(a,1)),flip(b)]. 12064 T(x \ L(x,y,y \ 1),z) = x \ L(x,y,y \ 1). [hyper(199,a,11,a(flip),b,12060,a)]. 12065 ((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(10435(a,1),10809(a,1,2,2))]. 12066 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(4278(a,1),11999(a,1,1,1))]. 12067 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(104(a,1),12066(a,1,1,1)),flip(a)]. 12069 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2724(a,1),12067(a,2,1,3,2))]. 12070 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(13(a,1),12069(a,2,1,3))]. 12072 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4240(a,1),12070(a,2,1))]. 12073 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(60(a,1),12072(a,1,1,1,1,2))]. 12074 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2724(a,1),12073(a,1,1,2))]. 12075 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(199,a,5535,a(flip),b,12074,a(flip)),flip(a)]. 12077 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(32(a,2),12075(a,1,1,1,1)),flip(a)]. 12078 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(6751(a,1),12077(a,2,1,1))]. 12079 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(199,a,7309,a(flip),b,12078,a)]. 12080 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),12079(a,1,1,3))]. 12081 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7141(a,1),12080(a,2,1))]. 12082 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(199,a,5836,a(flip),b,12081,a(flip)),flip(a)]. 12083 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(12082(a,1),8065(a,2,2))]. 12084 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(199,a,92,a(flip),b,12083,a)]. 12085 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7105(a,1),12084(a,2,2))]. 12086 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(105(a,1),12085(a,1,1,2,2,1))]. 12087 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7965(a,1),12086(a,1,1,2))]. 12088 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7097(a,1),12087(a,1,1))]. 12089 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(105(a,1),12088(a,1,2,1,1,1))]. 12091 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(12089(a,1),4730(a,1,2)),flip(a)]. 12092 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(199,a,4960,a(flip),b,12091,a)]. 12093 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(3860,a,12092,a)]. 12095 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(199,a,8393,a(flip),b,12093,a(flip))]. 12096 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(12095(a,2),7912(a,1,1))]. 12097 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(9951(a,1),12096(a,1,1,1))]. 12098 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(5782(a,2),12097(a,1,2,2))]. 12099 (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(11060,a,12065,a)]. 12100 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(9085(a,1),12099(a,1,2,2)),flip(a)]. 12101 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(4738(a,1),12100(a,2,2,2))]. 12103 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(11864(a,1),12101(a,2,2))]. 12104 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(7732(a,1),12103(a,2,2))]. 12105 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(10435(a,1),12104(a,1,1,2))]. 12106 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(199,a,9604,a,b,12105,a(flip)),flip(a)]. 12107 (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(10808(a,1),12106(a,1,1)),flip(a)]. 12108 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(12107(a,1),492(a,1))]. 12109 (((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(5530(a,1),8614(a,1,1,1))]. 12110 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(550(a,1),10312(a,1,1))]. 12111 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(4641(a,1),12110(a,1,1,1,2))]. 12112 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(199,a,8366,a(flip),b,12111,a(flip))]. 12113 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2172(a,1),12112(a,1,1,2))]. 12114 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(799(a,1),12113(a,1,1,2,1,2))]. 12115 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1312(a,1),12114(a,1,1,2,1,2))]. 12116 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(150(a,1),12115(a,1,1,2))]. 12117 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(474,a,12116,a),flip(a)]. 12119 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(5888,a,12117,a),flip(a)]. 12122 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [para(5008(a,2),12119(a,1,1))]. 12124 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [hyper(199,a,5948,a,b,12122,a),flip(a)]. 12125 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(5008(a,2),12124(a,1,1))]. 12126 K(K(x \ 1,y) \ z,x) = K(z,x). [hyper(17,a,4652,a(flip),b,12125,a),flip(a)]. 12127 K(K(x,y \ 1) * z,y) = K(z,y). [para(5008(a,1),12126(a,1,1))]. 12128 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5065(a,1),12127(a,1,1,1))]. 12129 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5438(a,1),12127(a,1,1))]. 12131 K(x * K(y,z \ 1),z) = K(x,z). [para(7147(a,1),12127(a,1,1))]. 12133 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6032(a,1),12131(a,1,1,2))]. 12134 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(199,a,8734,a,b,12129,a(flip)),flip(a)]. 12135 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5126(a,1),12128(a,1,1)),flip(a)]. 12136 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6233(a,1),12133(a,1,1)),flip(a)]. 12137 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(7618,a,12134,a)]. 12138 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(199,a,8514,a(flip),b,12137,a(flip)),flip(a)]. 12139 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(199,a,9594,a,b,12135,a(flip)),flip(a)]. 12140 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(12136(a,2),9873(a,2,2))]. 12141 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(199,a,6511,a(flip),b,12138,a)]. 12142 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(12141(a,1),5232(a,1,2,1,2))]. 12143 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(12139(a,1),10371(a,1,1))]. 12144 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5504,a,12142,a),flip(a)]. 12145 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2809(a,1),12144(a,1,1,1))]. 12146 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(199,a,5491,a(flip),b,12145,a(flip)),flip(a)]. 12147 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(199,a,8023,a(flip),b,12146,a)]. 12148 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(8682,a,12147,a),flip(a)]. 12149 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(7197,a,12148,a),flip(a)]. 12150 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(199,a,5846,a(flip),b,12149,a)]. 12151 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),12150(a,1,1,1)),flip(a)]. 12152 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),12151(a,1,1,1)),flip(a)]. 12153 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3382,a,12152,a)]. 12154 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(8905,a,12153,a)]. 12155 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3307(a,2),12154(a,1,1,2))]. 12156 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(199,a,8902,a(flip),b,12155,a(flip)),flip(a)]. 12158 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(199,a,8904,a(flip),b,12156,a(flip)),flip(a)]. 12160 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(199,a,11445,a(flip),b,12158,a(flip))]. 12161 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(7429,a,12160,a),flip(a)]. 12163 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(199,a,6513,a(flip),b,12161,a)]. 12164 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(199,a,11116,a,b,12163,a(flip)),flip(a)]. 12166 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12164(a,1),6650(a,1,1,1))]. 12167 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(199,a,6515,a(flip),b,12166,a(flip))]. 12169 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),12167(a,1,3,2)),flip(a)]. 12170 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12169(a,1),9327(a,2,2))]. 12171 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(199,a,1280,a(flip),b,12170,a)]. 12172 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(199,a,1516,a(flip),b,12171,a)]. 12173 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(7033(a,1),12172(a,2,1,2))]. 12174 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(199,a,10869,a(flip),b,12173,a)]. 12175 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(10746(a,1),12174(a,1,1))]. 12176 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(9500,a,12175,a)]. 12177 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5442(a,1),12143(a,1,2))]. 12178 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(7710(a,1),12177(a,1,2))]. 12179 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(199,a,12176,a(flip),b,12178,a)]. 12180 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(199,a,10793,a(flip),b,12179,a(flip)),flip(a)]. 12181 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(12180(a,1),11881(a,1,1))]. 12182 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(13(a,1),12181(a,1,1,1))]. 12183 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(13(a,1),12182(a,1,1,3)),flip(a)]. 12184 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6029(a,1),12183(a,2,2))]. 12185 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),12184(a,2,2,2))]. 12186 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4910(a,1),12185(a,2,2))]. 12187 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(199,a,9190,a(flip),b,12186,a)]. 12188 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6164,a,12187,a)]. 12189 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),12188(a,1,2))]. 12190 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(199,a,5174,a(flip),b,12189,a(flip)),flip(a)]. 12191 (((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(1605(a,1),11830(a,2,1))]. 12192 (((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(199,a,11477,a(flip),b,12191,a)]. 12194 ((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(10857(a,1),12192(a,1,1))]. 12195 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(199,a,10880,a(flip),b,12194,a(flip)),flip(a)]. 12196 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(199,a,11962,a(flip),b,12195,a(flip))]. 12197 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(12196(a,2),10787(a,1,1))]. 12198 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(12196(a,2),10789(a,1,1))]. 12199 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(342,a,12197,a)]. 12200 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(4449(a,1),12199(a,1,1))]. 12201 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(342,a,12198,a)]. 12202 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(10750(a,1),12200(a,1,2,1))]. 12203 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(199,a,12199,a(flip),b,12202,a(flip))]. 12204 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4247(a,1),6648(a,1,2,1)),flip(a)]. 12205 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2289(a,1),12204(a,2,2,2))]. 12207 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4535(a,1),9261(a,1,2,1,2,2,2))]. 12208 (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(4268(a,1),12207(a,1,2,1,2,2))]. 12209 (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(7732(a,1),12208(a,1,2,1))]. 12210 (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(8064(a,1),12209(a,1,2,1,2))]. 12211 (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(7491(a,1),12210(a,1,2,1,2))]. 12213 (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(7856(a,1),12211(a,1,2,1))]. 12214 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4535(a,1),12213(a,1,2,2,1,2,1,2,2))]. 12215 (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(4268(a,1),12214(a,1,2,2,1,2,1,2))]. 12216 (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(7717(a,1),12215(a,1,2,2,1,2))]. 12217 (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(9265(a,1),12216(a,1,2,2,1,2,2))]. 12218 (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(7173(a,1),12217(a,1,2,2,1,2,2))]. 12220 (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(7850(a,1),12218(a,1,2,2,1,2))]. 12221 (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(4718(a,1),12220(a,1,2,2,1))]. 12222 (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(8711(a,2),12221(a,1,2))]. 12223 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(199,a,8703,a(flip),b,12222,a(flip)),flip(a)]. 12224 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(1257(a,1),12223(a,1,2)),flip(a)]. 12225 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(199,a,5074,a(flip),b,12224,a)]. 12226 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1001(a,1),12225(a,1,1)),flip(a)]. 12227 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(199,a,11137,a,b,12226,a(flip)),flip(a)]. 12228 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1001(a,1),12227(a,1,1))]. 12229 (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(12228(a,1),11878(a,1,2))]. 12230 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(11879,a,12229,a),flip(a)]. 12231 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(199,a,7716,a,b,12230,a)]. 12232 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(199,a,11110,a(flip),b,12231,a(flip)),flip(a)]. 12233 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(199,a,7732,a,b,12232,a)]. 12234 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11111,a,12233,a)]. 12235 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(199,a,11112,a,b,12234,a(flip)),flip(a)]. 12236 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(199,a,10799,a(flip),b,12235,a)]. 12237 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(7826,a,12236,a)]. 12238 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(12236(a,1),7826(a,1))]. 12239 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(199,a,7825,a,b,12237,a(flip)),flip(a)]. 12240 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(199,a,11998,a,b,12239,a(flip)),flip(a)]. 12241 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(8566,a,12240,a)]. 12242 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(199,a,12040,a(flip),b,12241,a(flip)),flip(a)]. 12243 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(8538(a,1),12242(a,1,1)),flip(a)]. 12244 K(x,K(y * z,a(y,z,u))) = 1. [hyper(199,a,11040,a(flip),b,12243,a)]. 12245 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(12238,a,12244,a)]. 12248 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(12245(a,1),7772(a,1,1)),flip(a)]. 12249 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(199,a,11,a(flip),b,12248,a)]. 12250 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(12249(a,1),6364(a,1,1)),flip(a)]. 12251 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7253,a,12250,a)]. 12252 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(7612,a,12251,a)]. 12253 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(199,a,8258,a,b,12252,a(flip)),flip(a)]. 12254 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12026(a,2),12253(a,1,1))]. 12255 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(199,a,11454,a,b,12254,a(flip)),flip(a)]. 12256 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(199,a,12021,a(flip),b,12255,a(flip)),flip(a)]. 12257 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(199,a,12049,a,b,12256,a),flip(a)]. 12259 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(199,a,11362,a(flip),b,12257,a)]. 12260 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(199,a,11950,a(flip),b,12259,a(flip))]. 12261 a(K(x,y),z,z \ x) = 1. [hyper(199,a,10113,a(flip),b,12260,a)]. 12263 a(x,x,K(y,z)) = 1. [hyper(199,a,4750,a(flip),b,12260,a(flip))]. 12264 a(K(x,y),z,u) = a(x,z,K(y,u)). [para(4738(a,1),12260(a,1,1))]. 12265 L(K(x,y),z,z) = K(x,y). [hyper(33,a,12263,a)]. 12267 L(x \ y,x,K(y,z)) = x \ y. [hyper(33,a,12261,a)]. 12270 L(x \ y,x,K(z,y)) = x \ y. [para(4738(a,1),12267(a,1,3))]. 12271 L(x \ T(y,z),x,K(y,u)) = x \ T(y,z). [para(7143(a,1),12267(a,1,3))]. 12272 L(x \ (y * z),x,K(y,z)) = x \ (y * z). [hyper(199,a,11394,a(flip),b,12270,a(flip)),flip(a)]. 12273 K(x,x * a(y,z,u)) = a(x,z,K(y,u)). [hyper(199,a,12259,a,b,12264,a(flip)),flip(a)]. 12274 a(x,y,K(z,u)) = a(z,y,K(x,u)). [hyper(199,a,12260,a(flip),b,12264,a(flip))]. 12275 a(K(x,y),z,u) = a(x,z,K(u,y)). [para(4738(a,1),12264(a,2,3))]. 12276 a(x,y,K(z,u)) = K(x,a(z,y,u)). [hyper(199,a,12050,a(flip),b,12274,a)]. 12277 a(x,y,K(z,y * x)) = 1. [hyper(199,a,10110,a(flip),b,12274,a)]. 12278 a(x,y,K(z,u)) = a(u,y,K(x,z)). [para(4738(a,1),12274(a,1,3))]. 12279 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(7716(a,1),12274(a,1,3))]. 12280 K(x,y) * a(x,z,K(u,y)) = L(K(x,y),z,u). [para(12274(a,1),8997(a,1,2))]. 12281 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(12275(a,1),83(a,1,2))]. 12282 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(12275(a,1),120(a,1,2))]. 12283 a(x,y,K(z,u)) = K(a(z,y,u),x). [hyper(199,a,4738,a,b,12276,a)]. 12284 a(x,y,z) * a(u,y,K(x,z)) = T(a(x,y,z),u). [para(12276(a,2),4685(a,2,2)),flip(a)]. 12285 a(x,y,K(z,u)) * (x \ w) = T(x,a(z,y,u)) \ w. [para(12276(a,2),5074(a,1,1))]. 12286 x \ (y * a(x \ y,z,K(u,w))) = T(x \ y,a(u,z,w)). [para(12276(a,2),5975(a,1,2,2))]. 12287 a(x * (y * z),y,K(x,z)) * ((((x * y) * z) / (x * (y * z))) \ u) = a(x,y,z) \ u. [para(12276(a,2),5127(a,1,1))]. 12288 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [para(12276(a,1),12276(a,2,2))]. 12289 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [hyper(8996,a,12278,a)]. 12290 K(x,y) \ L(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(8990,a,12278,a)]. 12291 a(x,y,K(z,z \ u)) = a(z,y,K(u,x)). [hyper(199,a,10557,a,b,12278,a),flip(a)]. 12292 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(21,a,12278,a)]. 12293 a(x,y,K(z,u)) = a(u,y,K(z,x)). [hyper(199,a,12274,a,b,12278,a(flip))]. 12294 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(199,a,12050,a(flip),b,12278,a(flip))]. 12295 a(x,L(x,y,z),K(u,w)) = 1. [hyper(199,a,10305,a(flip),b,12278,a(flip))]. 12296 a(x \ y,y \ x,K(z,u)) = 1. [hyper(199,a,6722,a(flip),b,12278,a(flip))]. 12297 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(12278(a,2),8988(a,1,2))]. 12298 K(x,y) * a(x,z,K(y,u)) = L(K(x,y),z,u). [para(12278(a,2),8997(a,1,2))]. 12299 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(12278(a,1),8994(a,2,1))]. 12300 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(12278(a,2),9377(a,1,1))]. 12301 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(12278(a,2),12052(a,1,2))]. 12302 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(12278(a,1),12196(a,2,2))]. 12303 L(K(x,y),L(z,u,w),z) = K(x,y). [hyper(33,a,12295,a)]. 12304 L(K(x,y),z \ u,u \ z) = K(x,y). [hyper(33,a,12296,a)]. 12305 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(12283(a,2),12063(a,1))]. 12306 a(x,y,K(z,u \ 1)) = a(u,y,K(z,x)). [hyper(199,a,10561,a,b,12293,a),flip(a)]. 12307 a(x \ y,z,K(x,u)) = a(u,z,K(x,y)). [hyper(199,a,10557,a(flip),b,12293,a)]. 12308 a(x * y,z,K(x,u)) = a(u,z,K(x,y)). [hyper(199,a,10556,a(flip),b,12293,a)]. 12309 L(K(x,y),z,z \ x) = K(x,y). [hyper(10467,a,12304,a)]. 12310 L(K(x,y),z,z \ 1) = K(x,y). [para(51(a,1),12304(a,1,2))]. 12311 L(K(x,y),z \ 1,z) = K(x,y). [para(51(a,1),12304(a,1,3))]. 12312 K(x,((y \ x) * y) \ z) = K(x,y \ ((y \ x) \ z)). [hyper(10484,a,12309,a)]. 12314 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(2805,a,12310,a)]. 12315 T(T(K(x,y),z),z) = L(K(x,y),u,u \ 1). [hyper(199,a,47,a,b,12310,a),flip(a)]. 12317 K(x,y * (z \ 1)) = K(x,y / z). [hyper(199,a,11104,a(flip),b,12310,a(flip)),flip(a)]. 12318 (1 / x) \ K(y,z) = x * K(y,z). [hyper(68,a,12310,a(flip),b,2801,a)]. 12319 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(6551,a,12311,a)]. 12322 K((x \ 1) \ y,z) = K(x * y,z). [hyper(199,a,10464,a(flip),b,12311,a(flip))]. 12323 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(68,a,12311,a(flip),b,173,a),flip(a)]. 12325 K(x * (y \ 1),z) = K(z,x / y). [hyper(4862,a,12317,a)]. 12328 T(x,y * (z \ 1)) = x * K(x,y / z). [para(12317(a,1),4652(a,2,2))]. 12330 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(199,a,5944,a(flip),b,12318,a)]. 12341 x * (y * K(x * y,z)) = T(x * y,z). [para(12322(a,1),6081(a,1,2,2))]. 12342 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(12322(a,1),6185(a,1,1,2))]. 12345 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(12322(a,1),8928(a,1,1,2))]. 12346 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(6243,a,12323,a)]. 12358 K(x * (y \ 1),z) = K(x / y,z). [hyper(199,a,4738,a,b,12325,a)]. 12359 K(x * (y \ 1),z) != u | K(x / y,z) = u. [para(12325(a,2),4862(a,1))]. 12360 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(520,a,12346,a),flip(a)]. 12363 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(6232(a,1),12346(a,1,1)),flip(a)]. 12364 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(12346(a,1),6256(a,1,1)),flip(b)]. 12366 K(x * (1 / y),z) = K(x / y,z). [hyper(199,a,5174,a,b,12358,a(flip)),flip(a)]. 12367 K(x / (1 / y),z) = K(x * y,z). [para(63(a,1),12358(a,1,1,2)),flip(a)]. 12368 K(x * (y \ 1),z) != u | K(z,x / y) = u. [para(12358(a,2),4862(a,1))]. 12369 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(12358(a,2),7306(a,1))]. 12370 1 / (x * K(y,z)) = K(z,y) / x. [para(12360(a,1),60(a,1,2))]. 12373 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(12360(a,1),10182(a,1,1,1,2))]. 12377 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(12370(a,1),6786(a,1,2,1,2,2))]. 12379 a(x,y,K((x \ z) \ u,w)) = a(w,y,K(x,z \ u)). [para(9708(a,1),12291(a,1,3)),flip(a)]. 12380 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,x * u). [para(12308(a,1),8997(a,1,2))]. 12381 a(x,y,K(z,u \ (w \ 1))) = a(w * u,y,K(z,x)). [para(12319(a,1),12306(a,1,3))]. 12382 T(x,y * (z \ 1)) = T(x,y / z). [hyper(199,a,4652,a,b,12328,a)]. 12383 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(12328(a,2),4655(a,1))]. 12384 T(x,y * (1 / z)) = T(x,y / z). [hyper(199,a,4270,a,b,12382,a(flip)),flip(a)]. 12385 T(x,y / (1 / z)) = T(x,y * z). [para(63(a,1),12382(a,1,2,2)),flip(a)]. 12386 T(x,y * (z \ K(z,u))) = T(x,y / T(z,u)). [para(4775(a,1),12382(a,1,2,2))]. 12387 T(x,(y * K(z,u \ 1)) / u) = T(x,y * T(u \ 1,z)). [para(5935(a,1),12382(a,1,2)),flip(a)]. 12388 T(x,y * (z * K(u,z \ 1))) = T(x,y / T(z \ 1,u)). [para(6219(a,1),12384(a,1,2,2))]. 12390 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(10500,a,12341,a)]. 12393 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(12390(a,1),389(a,1,2)),flip(a)]. 12394 (K(x,y) * z) \ x = z \ T(x,y). [hyper(199,a,4766,a(flip),b,12271,a(flip)),flip(a)]. 12396 (K(x,y) * z) \ T(y,x) = z \ y. [para(5014(a,1),12394(a,1,1)),flip(a)]. 12397 (K(x,y) * z) * (z \ y) = T(y,x). [para(12396(a,1),14(a,1,2))]. 12398 K(x,y) * (y / z) = T(y,x) / z. [hyper(273,a,12397,a),flip(a)]. 12399 (K(x,y * z) * y) * z = T(y * z,x). [para(13(a,1),12397(a,1,2))]. 12403 K(x,y) * (x / z) = T(x,y) / z. [para(4738(a,1),12398(a,1,1))]. 12404 T(x,y) / (z \ x) = K(x,y) * z. [para(60(a,1),12403(a,1,2)),flip(a)]. 12405 T(x,y) / T(z,z \ x) = K(x,y) * (z \ x). [para(181(a,1),12403(a,1,2)),flip(a)]. 12407 (K(x,y) * L(K(x,z),u,w)) * y = T(L(K(x,z),u,w) * y,x). [para(6826(a,1),12399(a,1,1,1))]. 12408 (x * K(y,z * x)) * z = T(x * z,y). [para(9937(a,1),12399(a,1,1))]. 12409 x \ T(x * y,z) = y * K(z,x * y). [hyper(18,a,4398,a,b,12408,a),flip(a)]. 12410 x \ T(x * (y \ 1),z) = y \ K(z,x * (y \ 1)). [hyper(199,a,12323,a(flip),b,12409,a)]. 12411 x \ T(x * y,z) != y * u | K(z,x * y) = u. [para(12409(a,2),19(a,1))]. 12412 (K(x,y) * z) \ (y * x) = z \ (x * y). [hyper(199,a,5657,a(flip),b,12272,a(flip)),flip(a)]. 12413 a(x,y,K(z,u)) != w | a(u,y,K(z,x)) = w. [para(4738(a,1),12305(a,1,3))]. 12414 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(12278(a,1),12305(a,1))]. 12415 a(x,y,K(z,u)) != w | a(z,y,K(x,u)) = w. [para(12293(a,1),12305(a,1))]. 12416 L(K(x,y),z,z \ 1) != u | K(x,y) = u. [para(12315(a,1),338(a,1)),flip(b)]. 12417 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(10435(a,1),12416(a,1))]. 12418 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(11104(a,1),12416(a,1))]. 12421 K(x,(1 / y) * z) != u | K(x,y \ z) = u. [para(2809(a,1),12417(a,1,2))]. 12424 T(x,y * (z * K(u,z \ 1))) != w | T(x,y / T(1 / z,u)) = w. [para(5317(a,1),12383(a,1,2,2))]. 12427 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(7106(a,1),12393(a,2,1,2)),flip(a)]. 12431 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(x,K(w,z))) = v5. [para(7733(a,1),12414(a,1,3))]. 12435 a(x,y,K(z,z \ u)) != w | a(x,y,K(z,u)) = w. [para(12291(a,2),12414(a,1))]. 12437 K(x,y * (1 / z)) != u | K(x,y / z) = u. [para(5210(a,2),12418(a,1))]. 12438 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(12421,a,5215,a),flip(a)]. 12439 K(x,(1 / y) * z) = K(x,y \ z). [hyper(12421,a,xx),flip(a)]. 12440 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(5215(a,1),12421(a,1))]. 12442 K(x,(T(1 / y,z) \ 1) * u) = K(x,T(y \ 1,z) \ u). [hyper(199,a,5334,a(flip),b,12438,a)]. 12443 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(199,a,5213,a(flip),b,12438,a(flip))]. 12445 K(x,(y / z) \ u) * K(x,K(u,z / y)) = K(x,u * ((y / z) \ 1)). [para(12438(a,1),9974(a,1,1))]. 12446 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(199,a,9931,a,b,12443,a),flip(a)]. 12447 T(x,(y \ 1) \ z) = x * K(x,y * z). [para(12443(a,1),4652(a,2,2))]. 12448 L(K(x,y * (z \ u)),z \ u,z) = K(x,(z * (y \ 1)) \ u). [para(12443(a,1),6396(a,1,1))]. 12450 K(x,T((y \ 1) \ z,u)) = T(K(x,y * z),u). [para(12443(a,1),7084(a,2,1))]. 12451 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(12446(a,1),9963(a,1))]. 12452 T(x,(y \ 1) \ z) = T(x,y * z). [hyper(199,a,4652,a,b,12447,a)]. 12453 T(x,(y \ 1) \ z) != u | T(x,y * z) = u. [para(12447(a,2),4655(a,1))]. 12454 T(x,(T(1 / y,z) \ 1) \ u) = T(x,T(y \ 1,z) * u). [hyper(199,a,4281,a(flip),b,12452,a)]. 12455 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(199,a,4276,a(flip),b,12452,a(flip))]. 12456 T(x,y * ((y \ 1) * z)) = T(x,z). [para(13(a,1),12452(a,1,2)),flip(a)]. 12457 T(x,(1 / y) * z) = T(x,y \ z). [para(63(a,1),12452(a,1,2,1)),flip(a)]. 12461 T(x,y \ (K(z,y \ 1) * u)) = T(x,T(y \ 1,z) * u). [para(4909(a,1),12455(a,1,2)),flip(a)]. 12463 T(x,L(y,z \ 1,z)) = T(x,y). [para(173(a,1),12456(a,1,2))]. 12464 T(x,L(y,z,z \ 1)) = T(x,y). [para(2863(a,1),12463(a,1,2))]. 12466 T(x,T((1 / y) * z,u)) = T(x,T(y \ z,u)). [para(2810(a,1),12464(a,1,2))]. 12467 K(x,T(y \ ((z \ u) \ u),w) / w) = K(x,(y \ T(z,u)) * (1 / T(w,y \ ((z \ u) \ u)))). [hyper(12437,a,11698,a)]. 12468 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(10025(a,2),12451(a,1))]. 12470 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7716(a,1),12279(a,2,3))]. 12471 a(x,R(x,y,z),K(u,w)) = 1. [hyper(67,a,10192,a(flip),b,12280,a),flip(a)]. 12472 L(K(x,y),R(z,u,w),z) = K(x,y). [hyper(33,a,12471,a)]. 12473 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [hyper(199,a,12279,a,b,12288,a(flip)),flip(a)]. 12474 K(x,y) * a(x,z,K(u,y)) != w | L(K(x,y),z,u) = w. [para(12289(a,1),5019(a,1,2)),flip(b)]. 12475 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [para(12290(a,1),4541(a,1,1))]. 12476 K(x,y) * L(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(5045,a,12297,a)]. 12477 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u \ 1). [para(10561(a,1),12297(a,1,2))]. 12478 K(x,y) \ L(K(x,y),z,u) = a(x,x \ z,K(y,u)). [hyper(68,a,10463,a(flip),b,12298,a)]. 12479 L(K(x,y),z,L(u \ 1,u,w)) = K(x,y) * a(x,z,K(y,u \ 1)). [para(6060(a,1),12298(a,1,2,3)),flip(a)]. 12480 L(K(x,y),z,u \ L(u,w,w \ 1)) = K(x,y) * a(x,z,1). [para(12056(a,1),12298(a,1,2,3)),flip(a)]. 12481 x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). [para(12300(a,1),5426(a,1,2,2,2,1))]. 12482 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(12330(a,1),6109(a,2,1))]. 12483 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(199,a,9298,a,b,12363,a(flip)),flip(a)]. 12484 T(x,y * ((T(z,z \ 1) \ u) \ K(T(z,z \ 1) \ u,z))) = T(x,y / (u / ((z \ 1) \ 1))). [para(2909(a,1),12386(a,2,2,2))]. 12485 x * (K(y,z) * (x \ y)) = T(y,T(z,x)). [para(12405(a,1),10024(a,1,2))]. 12486 x \ T(y,T(z,x)) = K(y,z) * (x \ y). [hyper(73,a,12485,a)]. 12487 K(x,T(y,z)) * (z \ x) = z \ T(x,y). [hyper(68,a,5130,a(flip),b,12485,a),flip(a)]. 12489 T(x,T(T(y \ z,z) \ u,w)) = w * (K(x,(z / y) \ u) * (w \ x)). [para(11584(a,1),12485(a,1,2,1)),flip(a)]. 12490 x * (K(y,z) * (x \ y)) != u | T(y,T(z,x)) = u. [para(12486(a,1),211(a,1,2)),flip(b)]. 12491 (x \ y) * K(y,z) = x \ T(y,z). [hyper(199,a,7921,a(flip),b,12487,a(flip)),flip(a)]. 12494 K(x,y) * (z \ T(x,y)) = T(z \ x,K(x,y)). [hyper(154,a,12491,a,b,5041,a),flip(a)]. 12499 (x \ T(y,z)) \ (x \ y) = K(z,y). [para(12491(a,1),6232(a,1,1))]. 12500 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [para(12491(a,1),12314(a,1,2))]. 12502 (T(x,y) / z) \ x = z * K(y,x). [para(12499(a,1),235(a,1,2)),flip(a)]. 12504 x / (y * K(z,x)) = T(x,z) / y. [para(12502(a,1),60(a,1,2))]. 12505 T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). [para(5970(a,1),12504(a,1,2)),flip(a)]. 12508 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(199,a,5790,a,b,12500,a(flip)),flip(a)]. 12509 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(199,a,7084,a,b,12450,a)]. 12510 K(x,T((y \ 1) \ z,u)) != w | K(x,T(y * z,u)) = w. [para(12450(a,2),7132(a,1))]. 12511 T(x,T((y * K(z,y \ 1)) \ u,w)) = T(x,T(T(1 / y,z) * u,w)). [para(6954(a,1),12466(a,1,2,1,1)),flip(a)]. 12512 T(x,T(((y * (z / y)) \ y) \ u,w)) = T(x,T(T(1 / (z \ y),y) * u,w)). [para(10033(a,1),12466(a,1,2,1,1)),flip(a)]. 12513 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(10516,a,12470,a)]. 12514 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(7732(a,1),12473(a,1,3))]. 12515 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(199,a,8116,a(flip),b,12475,a)]. 12516 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(12475(a,1),20(a,1))]. 12517 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(12475(a,2),8229(a,1))]. 12518 K(x,y) * a(y,z,K(x,u)) != w | L(K(x,y),z,u) = w. [para(12476(a,1),5042(a,1,2)),flip(b)]. 12520 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(199,a,5490,a(flip),b,12508,a(flip)),flip(a)]. 12521 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(12520(a,1),6599(a,2,1))]. 12522 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(199,a,4603,a(flip),b,12521,a)]. 12523 K(x,y) * (1 / z) = K(x,y) / z. [hyper(199,a,12404,a(flip),b,12521,a(flip)),flip(a)]. 12525 K(x,y) / (z \ 1) = K(x,y) * z. [para(60(a,1),12523(a,1,2)),flip(a)]. 12526 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [para(4603(a,2),12523(a,1,2))]. 12527 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(12523(a,1),6315(a,1,1))]. 12529 (K(x,y) * z) \ K(x,y) = z \ 1. [para(12525(a,1),63(a,1,1))]. 12530 (x \ 1) * R((x \ 1) \ K(y,z),u,w) = R(K(y,z) * x,u,w) * (x \ 1). [para(12525(a,1),539(a,1,1,1)),flip(a)]. 12533 (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). [para(4896(a,1),12529(a,1,1)),flip(a)]. 12534 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(6750(a,1),12522(a,2,2))]. 12535 T(K(x,y) / T(x \ z,u),x \ z) = ((T(x,y) \ z) \ 1) * K(u,x \ z). [para(12533(a,2),6964(a,2,1))]. 12536 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(12527(a,1),11075(a,1,1))]. 12537 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(12370(a,2),12527(a,1,1))]. 12540 a(x,y,K(z,u \ (z \ w))) != v5 | a(x,y,K(z,u \ w)) = v5. [para(9725(a,2),12435(a,1,3))]. 12542 K(x,y \ ((y \ x) \ z)) = K(x,x \ z). [hyper(11602,a,12312,a),flip(a)]. 12543 K(x * y,(x * y) \ z) = K(x * y,x \ (y \ z)). [para(13(a,1),12542(a,1,2,2,1)),flip(a)]. 12544 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,4569,a(flip),b,12345,a)]. 12545 K(x,y) * a(y,z,K(x,u \ w)) = L(K(x,y),z,(x \ u) \ w). [para(12379(a,1),12280(a,1,2))]. 12546 L(K(x,y),z,x * u) = L(K(x,y),z,u). [hyper(199,a,12297,a(flip),b,12380,a(flip))]. 12547 K(x,y) * a(z * u,w,K(x,y)) = L(K(x,y),w,u \ (z \ 1)). [para(12381(a,1),12297(a,1,2))]. 12548 x \ T(x * (y \ 1),z) = y \ K(z,x / y). [para(12317(a,1),12410(a,2,2))]. 12549 x \ (T(x * (y \ 1),z) * R(T(x * (y \ 1),z) \ x,u,u \ 1)) = a((y \ K(z,x / y)) \ 1,u,u \ 1). [para(12548(a,1),3595(a,2,1,1))]. 12550 L(K(x,y),z,u \ 1) = L(K(x,y),z,u). [hyper(199,a,12297,a(flip),b,12477,a(flip))]. 12551 K(x,L(y,z,u \ 1)) = L(K(x,y),z,u). [hyper(10456,a,12550,a)]. 12553 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [para(12551(a,2),8133(a,1,2))]. 12555 a(x,x \ y,K(z,u)) = a(x,y,K(u,z)). [hyper(199,a,12290,a(flip),b,12478,a(flip))]. 12556 a(x,y \ z,K(y,u)) = a(y,z,K(x,u)). [hyper(12414,a,12555,a)]. 12557 a(x,x \ y,K(z,u)) = a(u,y,K(x,z)). [hyper(199,a,12274,a,b,12555,a)]. 12558 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [hyper(199,a,12274,a,b,12556,a)]. 12559 a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. [para(12556(a,2),12415(a,1))]. 12560 L(K(x,y),z \ u,z) = K(x,y) * a(x,u,K(z,y)). [para(12557(a,1),8988(a,1,2)),flip(a)]. 12561 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [para(13(a,1),12558(a,1,2)),flip(a)]. 12563 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7716(a,2),12561(a,1,3))]. 12564 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(12505(a,1),3967(a,1,2)),flip(a)]. 12565 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(199,a,7893,a(flip),b,12537,a(flip)),flip(a)]. 12566 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(12565(a,1),12523(a,1,2))]. 12567 K(x * (y \ 1),x \ ((y \ 1) \ z)) = K((x * (y \ 1)) \ z,x / y). [hyper(12368,a,12543,a),flip(a)]. 12568 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(63(a,1),12553(a,1,2,2,3)),flip(a)]. 12569 L(K(x,y),z \ u,z) = L(K(x,y),u,z). [hyper(199,a,12280,a(flip),b,12560,a)]. 12570 L(K(x,(y \ z) \ u),z,y) = K(x,z \ (y * u)). [hyper(10483,a,12569,a),flip(a)]. 12571 L(K(x,y),z / u,u) = L(K(x,y),z,u). [hyper(10015,a,12569,a)]. 12572 L(K(x,y \ (z \ u)),u,z) = K(x,(z * y) \ u). [hyper(6551,a,12569,a),flip(a)]. 12573 L(K(x,y),z * u,z) = L(K(x,y),u,z). [para(13(a,1),12569(a,1,2)),flip(a)]. 12574 L(K(x,y),a(z,u,u \ 1),z) = L(K(x,y),R(z,u,u \ 1),z). [para(601(a,1),12569(a,1,2))]. 12575 L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),u * z,1 / u). [para(2804(a,1),12569(a,1,2)),flip(a)]. 12576 L(K(x,y),K(z,z \ u) * w,u) = L(K(x,y),(z * (u / z)) * w,u). [para(9232(a,1),12569(a,1,2))]. 12577 L(K(x,y),T(1 / (z \ u),u),(1 / (z \ u)) \ z) = L(K(x,y),z,(1 / (z \ u)) \ z). [para(9857(a,2),12569(a,1,2))]. 12578 L(K(x,y),z * u,u) = L(K(x,y),z,u). [para(15(a,1),12571(a,1,2)),flip(a)]. 12579 L(K(x,y),(z * (u / z)) * w,z * (u / z)) = L(K(x,y),w,T(u,z)). [hyper(199,a,11407,a(flip),b,12573,a)]. 12580 L(K(x,(y * z) \ u),L(z,y,y \ 1),1 / y) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). [para(2804(a,1),12570(a,1,1,2,1))]. 12581 K(x,(y * z) \ L(y,u,w)) = K(x,z \ (y \ L(y,u,w))). [hyper(199,a,12303,a(flip),b,12572,a(flip))]. 12582 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7716(a,2),12563(a,2,3))]. 12583 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(12564(a,2),2730(a,1,1))]. 12584 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(w,x))) = v5. [para(12274(a,1),12431(a,1))]. 12587 K(x,y) * a(z,u,K(x,y)) != w | L(K(x,y),u,z) = w. [para(12274(a,1),12474(a,1,2))]. 12588 L(K(x,y),z \ u,z) != w | L(K(x,y),u,z) = w. [para(12560(a,2),12474(a,1))]. 12589 L(K(x,y),z / u,u) != w | L(K(x,y),z,u) = w. [para(9995(a,2),12588(a,1))]. 12590 K(x,T((y \ z) * x,z)) != u | K(x,T((y \ z) * x,y)) = u. [para(10051(a,1),12510(a,1))]. 12591 L(K(x,y),z,u \ 1) != w | L(K(x,y),z,u) = w. [para(12477(a,1),12518(a,1))]. 12592 x \ (y * a(z,u,K(x,y))) = T(x \ y,a(x,u,z)). [para(12307(a,1),12286(a,1,2,2))]. 12593 T(x,(y / z) * K(u,z \ 1)) = T(x,y * T(z \ 1,u)). [para(5696(a,1),12387(a,1,2))]. 12595 K(x,T(y \ 1,z) \ u) != w | K(x,T(1 / y,z) \ u) = w. [para(12442(a,1),12440(a,1))]. 12596 T(x,T(y \ 1,z) * u) != w | T(x,T(1 / y,z) * u) = w. [para(12454(a,1),12453(a,1))]. 12597 T(T(x,K(y,z)),z * T(y \ 1,u)) = T(x,y \ (z * K(u,y \ 1))). [hyper(199,a,11655,a(flip),b,12593,a(flip))]. 12598 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(199,a,10983,a(flip),b,12282,a(flip)),flip(a)]. 12599 K(x,(y * (z \ 1)) \ u) != w | L(K(x,z * (y \ u)),u,y) = w. [para(12448(a,1),12588(a,1))]. 12600 L(K(x,y),z,u \ L(u,w,w \ 1)) != v5 | K(x,y) = v5. [para(12480(a,2),288(a,1))]. 12601 (K(x,y) * L(K(x,y),z,u)) * y = T(T(y,L(x,z,u)),x). [para(10459(a,1),12407(a,2,1))]. 12602 (K(x,y) * L(K(x,y),z,u)) * y = T(T(y,x),L(x,z,u)). [hyper(199,a,38,a,b,12601,a)]. 12603 T(T(x,y),L(y,z,u)) = a(x,z,K(y,u)) * x. [para(12476(a,1),12602(a,1,1)),flip(a)]. 12604 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,12483,a)]. 12605 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(199,a,11984,a,b,12604,a(flip)),flip(a)]. 12606 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(9297(a,2),12604(a,1,2))]. 12607 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(4862,a,12606,a)]. 12608 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(12607(a,1),2888(a,1,1,2))]. 12609 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(4738(a,1),12513(a,1,2,2))]. 12610 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),12515(a,2,2,2)),flip(a)]. 12612 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(9870(a,1),12544(a,1,2))]. 12615 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),12612(a,1,2,1))]. 12617 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(126(a,1),12615(a,1,1)),flip(a)]. 12619 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(199,a,5948,a(flip),b,12617,a)]. 12620 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(12619(a,1),60(a,1,2)),flip(a)]. 12621 L(K(x,y),z,(x \ u) \ w) = L(K(x,y),z,u \ w). [hyper(12518,a,12545,a),flip(a)]. 12622 L(K(x,y),z,u \ (w \ 1)) != v5 | L(K(x,y),z,w * u) = v5. [para(12547(a,1),12587(a,1))]. 12623 L(K(x,y),a(z,u,u \ 1),z) = K(x,y). [hyper(199,a,12472,a(flip),b,12574,a)]. 12624 K(x,(y \ z) \ a(y,u,u \ 1)) = K(x,z \ (y * a(y,u,u \ 1))). [hyper(6475,a,12623,a),flip(a)]. 12626 x \ ((x * a(x,y,y \ 1)) * K(z,u)) = a(x,y,y \ 1) * K(z,u). [para(12623(a,1),386(a,1,2,2))]. 12627 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(10619,a,12609,a)]. 12628 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(8999(a,1),12627(a,1,1))]. 12629 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(4738(a,1),12628(a,2,3,2))]. 12630 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(12369,a,12190,a)]. 12631 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),12630(a,2,1))]. 12632 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(199,a,9503,a(flip),b,12631,a(flip))]. 12634 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(199,a,5177,a(flip),b,12632,a(flip)),flip(a)]. 12635 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(199,a,10038,a(flip),b,12634,a(flip)),flip(a)]. 12637 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(199,a,7700,a,b,12635,a(flip)),flip(a)]. 12638 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),12635(a,1,1,2,1)),flip(a)]. 12640 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(12637(a,1),12098(a,1,1,1,2))]. 12641 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(199,a,12136,a,b,12638,a)]. 12642 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(12641(a,1),221(a,1,2))]. 12643 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(199,a,12140,a,b,12642,a(flip)),flip(a)]. 12644 T(x,y / T(z \ 1,u)) != w | T(x,y / T(1 / z,u)) = w. [para(12388(a,1),12424(a,1))]. 12645 L(K(x,y),z,L(u \ 1,u,w)) = K(x,y) * a(x,z,K(y,u)). [para(10561(a,1),12479(a,2,2))]. 12646 L(K(x,y),z,L(u \ 1,u,w)) = L(K(x,y),z,u). [hyper(199,a,12298,a(flip),b,12645,a)]. 12647 L(K(x,y),z,(u * w) \ u) = L(K(x,y),z,w). [para(145(a,1),12646(a,1,3))]. 12648 L(K(x,y),z,u \ w) = L(K(x,y),z,w \ u). [para(306(a,1),12646(a,1,3))]. 12649 L(K(x,y),z,(u \ 1) \ w) = L(K(x,y),z,u * w). [hyper(12622,a,12648,a),flip(a)]. 12650 L(K(x,y),z,(u \ 1) \ w) != v5 | L(K(x,y),z,u * w) = v5. [para(12648(a,1),12622(a,1))]. 12651 L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),u * z,u \ 1). [hyper(199,a,3503,a(flip),b,12575,a)]. 12652 L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),u * z,u). [hyper(199,a,12550,a(flip),b,12651,a)]. 12653 L(K(x,y),L(z,u,u \ 1),1 / u) = L(K(x,y),z,u). [hyper(199,a,12573,a(flip),b,12652,a)]. 12654 L(K(x,y),T((1 / z) * u,w),1 / z) = L(K(x,y),T(z \ u,w),z). [para(2810(a,1),12653(a,1,2))]. 12655 T(x,T(T(y \ z,z) \ u,w)) != v5 | T(x,T((z / y) \ u,w)) = v5. [para(12489(a,2),12490(a,1))]. 12656 T(x,T(K(y,z \ 1) * (z \ u),w)) = T(x,T(T(1 / z,y) * u,w)). [para(11798(a,1),12511(a,1,2,1))]. 12657 K((x * (y \ 1)) \ z,x / y) = K(x / y,x \ ((y \ 1) \ z)). [hyper(12359,a,12567,a),flip(a)]. 12658 K(x / y,(x * (y \ 1)) \ z) = K(x / y,x \ ((y \ 1) \ z)). [hyper(4862,a,12657,a)]. 12659 K(x / y,(x * (y \ 1)) \ z) = K(y \ x,((y \ 1) \ z) / x). [hyper(199,a,7238,a(flip),b,12658,a)]. 12660 L(K(x / y,y * (x \ z)),z,x) = K(y \ x,((y \ 1) \ z) / x). [hyper(12599,a,12659,a)]. 12661 L(K(x \ y,(y \ z) * x),z,y) = K(x \ y,((x \ 1) \ z) / y). [para(9934(a,1),12660(a,1,1))]. 12662 L(K(x,y),(z * (u / z)) * w,T(u,z)) = L(K(x,y),w,T(u,z)). [hyper(199,a,11407,a(flip),b,12579,a(flip)),flip(a)]. 12663 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(10186,a,12583,a)]. 12664 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(12663(a,2),14(a,1,2))]. 12665 T(T(x,K(y,z)),z * T(y \ 1,u)) = T(x,(y \ z) * K(u,y \ 1)). [para(8689(a,1),12597(a,2,2))]. 12667 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(10581(a,1),12605(a,1,1))]. 12668 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(12667(a,1),11988(a,1,2)),flip(a)]. 12669 K(x,(y \ z) \ a(y,u,u \ 1)) = K(x,z \ R(y,u,u \ 1)). [para(602(a,1),12624(a,2,2,2))]. 12670 K(x,(y \ z) \ a(y,u,u \ 1)) = K(x,z \ L(y,u,u \ 1)). [hyper(199,a,11765,a(flip),b,12669,a)]. 12671 x \ (R(x,y,y \ 1) * K(z,u)) = a(x,y,y \ 1) * K(z,u). [para(602(a,1),12626(a,1,2,1))]. 12672 R(x,y,y \ 1) * (x \ K(z,u)) = a(x,y,y \ 1) * K(z,u). [hyper(1497,a,12671,a)]. 12673 R(K(x,y) * z,u,u \ 1) * (z \ 1) = a(K(x,y) * z,u,u \ 1) * K(x,y). [para(12529(a,1),12672(a,1,2))]. 12674 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(199,a,9371,a(flip),b,12668,a)]. 12676 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5530(a,1),12674(a,1,2,1))]. 12677 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(10581(a,1),12676(a,1,2))]. 12678 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(12677(a,1),63(a,1,1))]. 12679 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12678(a,1),3236(a,1,1,1))]. 12680 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7732(a,1),12517(a,1,1,3))]. 12681 R(K(x,y) * z,u,w) * (z \ 1) = z \ R(z * K(x,y),u,w). [hyper(199,a,1268,a(flip),b,12530,a(flip))]. 12682 T(K(x,y) / T(x \ z,u),x \ z) != w | (T(x,y) \ z) \ K(u,x \ z) = w. [para(12535(a,2),12364(a,1))]. 12683 x \ R(x * K(y,z),u,u \ 1) = a(K(y,z) * x,u,u \ 1) * K(y,z). [hyper(199,a,12681,a(flip),b,12673,a(flip)),flip(a)]. 12684 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(12558(a,1),12610(a,2,1))]. 12685 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(199,a,12515,a(flip),b,12684,a)]. 12686 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(93(a,1),12685(a,1,2,2))]. 12687 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(9995(a,2),12686(a,1,2,2))]. 12688 a(x,y,K(z,y * x)) * ((((z * y) * x) / (z * (y * x))) \ u) = a(z,y,x) \ u. [para(12308(a,1),12287(a,1,1))]. 12689 1 * ((((x * y) * z) / (x * (y * z))) \ u) = a(x,y,z) \ u. [para(12277(a,1),12688(a,1,1))]. 12690 1 * (T(a(x,y,z),x * (y * z)) \ u) = a(x,y,z) \ u. [para(196(a,1),12689(a,1,2,1))]. 12692 T(a(x,y,z),x * (y * z)) \ u = a(x,y,z) \ u. [hyper(71,a,12690,a)]. 12694 a(x,y,z) \ ((x * y) * z) = x * (y * z). [hyper(1045,a,12692,a),flip(a)]. 12695 a(x,y,z) * (x * (y * z)) = (x * y) * z. [para(12694(a,1),14(a,1,2))]. 12698 L(K(x,y),T(1 / (z \ u),u),((z \ u) \ 1) \ z) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(199,a,3762,a(flip),b,12577,a(flip)),flip(a)]. 12699 L(K(x,y),T((z \ u) \ 1,u),((z \ u) \ 1) \ z) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(199,a,4495,a(flip),b,12698,a(flip)),flip(a)]. 12700 L(K(x,y),T((z \ u) \ 1,u),(z \ u) * z) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(12650,a,12699,a)]. 12701 L(K(x,y),T((z \ u) \ 1,u),T(u,z)) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(199,a,11406,a(flip),b,12700,a(flip)),flip(a)]. 12702 L(K(x,(y * z) \ u),z,y) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). [hyper(199,a,12653,a(flip),b,12580,a(flip)),flip(a)]. 12703 L(K(x,(y * z) \ u),z,y) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [hyper(199,a,5499,a(flip),b,12702,a)]. 12704 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(8067(a,1),12373(a,1,1,1,2))]. 12705 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5525(a,1),12704(a,1,1,1)),flip(a)]. 12706 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2716(a,2),12705(a,1,2,2,1))]. 12707 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(63(a,1),12706(a,1,2,2))]. 12709 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(12664(a,1),12707(a,1,2))]. 12710 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(12709(a,2),60(a,1,2))]. 12711 K(x,(y \ T(z,u)) * (1 / T(w,y \ ((z \ u) \ u)))) = K(x,w \ (y \ ((z \ u) \ u))). [hyper(11569,a,12467,a),flip(a)]. 12712 K(x,(y \ T(z,u)) * (1 / T(w,y \ T(z,u)))) = K(x,w \ (y \ ((z \ u) \ u))). [para(11542(a,1),12711(a,1,2,2,2))]. 12713 K(x,(y \ T(z,u)) / T(w,y \ T(z,u))) = K(x,w \ (y \ ((z \ u) \ u))). [hyper(12437,a,12712,a)]. 12714 K(x,y \ (z \ ((u \ w) \ w))) = K(x,y \ (z \ T(u,w))). [hyper(11551,a,12713,a),flip(a)]. 12716 K(x,y \ (z \ T(u,u \ w))) = K(x,y \ (z \ T(u,w))). [para(106(a,2),12714(a,1,2,2,2))]. 12717 K(x,y \ (T(z,T(u,w)) \ T(u,w))) = K(x,y \ (((u \ w) \ w) / z)). [hyper(199,a,11780,a(flip),b,12716,a(flip))]. 12718 K(x,y \ (((z \ u) \ u) / w)) = K(x,y \ (T(z,u) / w)). [hyper(199,a,11702,a(flip),b,12717,a(flip))]. 12719 T(x,y * ((T(z,z \ 1) \ u) \ K(z,T(z,z \ 1) \ u))) = T(x,y / (u / ((z \ 1) \ 1))). [para(4738(a,1),12484(a,1,2,2,2))]. 12720 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6432(a,1),12534(a,1,1))]. 12721 T(x,y * ((T(z,z \ 1) \ u) \ K(z,z \ u))) = T(x,y / (u / ((z \ 1) \ 1))). [para(5223(a,1),12719(a,1,2,2,2))]. 12723 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(2897(a,1),12482(a,1,2))]. 12725 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(3031(a,1),12723(a,1,2)),flip(a)]. 12726 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(199,a,10381,a(flip),b,12725,a)]. 12728 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(12726(a,1),12205(a,2,2))]. 12729 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(221(a,1),12640(a,1,1,1))]. 12731 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8074(a,1),12729(a,1,1))]. 12732 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(104(a,1),12731(a,1,2,2,2))]. 12733 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(8728(a,1),12732(a,1,2))]. 12734 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(2906(a,1),12733(a,1,2))]. 12735 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(199,a,9987,a(flip),b,12734,a(flip)),flip(a)]. 12736 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(199,a,8809,a(flip),b,12735,a(flip)),flip(a)]. 12737 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(132(a,1),12736(a,1,2)),flip(a)]. 12738 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(199,a,11741,a,b,12737,a(flip)),flip(a)]. 12741 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(199,a,10166,a(flip),b,12738,a(flip)),flip(a)]. 12743 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(199,a,9587,a(flip),b,12741,a(flip))]. 12744 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(12743(a,1),4851(a,1,2))]. 12745 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(199,a,11674,a,b,12744,a(flip)),flip(a)]. 12746 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(11875(a,1),12720(a,1,2))]. 12747 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(199,a,5786,a(flip),b,12746,a(flip)),flip(a)]. 12748 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(199,a,6745,a(flip),b,12747,a)]. 12749 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(199,a,11128,a(flip),b,12748,a(flip))]. 12750 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(12748(a,1),63(a,1,1))]. 12751 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12750(a,1),4429(a,1,2,1))]. 12752 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(199,a,6745,a(flip),b,12751,a)]. 12753 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12749(a,1),12752(a,1,1))]. 12754 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(199,a,11129,a,b,12753,a(flip)),flip(a)]. 12755 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6091(a,1),12754(a,1,1))]. 12756 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(5467,a,12755,a),flip(a)]. 12757 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(199,a,8765,a(flip),b,12756,a(flip)),flip(a)]. 12758 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12757(a,1),63(a,1,1))]. 12759 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12758(a,1),2216(a,1,1))]. 12760 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12759(a,1),6410(a,1,2,1))]. 12761 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(8215,a,12760,a),flip(a)]. 12762 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(199,a,12509,a(flip),b,12761,a)]. 12763 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(51(a,1),12762(a,1,2)),flip(a)]. 12764 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(199,a,5255,a(flip),b,12763,a)]. 12765 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(10105,a,12764,a(flip)),flip(a)]. 12766 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(199,a,8214,a(flip),b,12765,a)]. 12767 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),12766(a,1,2,1,1,1)),flip(a)]. 12768 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(8868,a,12767,a),flip(a)]. 12769 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(12590,a,12768,a)]. 12770 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(9965,a,12768,a)]. 12771 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),12769(a,1,2,1,1)),flip(a)]. 12772 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(199,a,11819,a(flip),b,12770,a(flip))]. 12773 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(199,a,8421,a,b,12771,a(flip)),flip(a)]. 12774 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(12772(a,1),5835(a,1,1))]. 12775 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(199,a,8422,a(flip),b,12773,a(flip))]. 12776 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7382,a,12775,a)]. 12778 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(199,a,9485,a(flip),b,12776,a(flip))]. 12780 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(105(a,1),12778(a,1,2,1,1,2))]. 12781 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(199,a,8218,a(flip),b,12780,a(flip))]. 12782 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(8415,a,12781,a)]. 12783 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(199,a,5336,a(flip),b,12782,a)]. 12784 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(63(a,1),12783(a,2,2,1,1))]. 12785 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(199,a,10739,a(flip),b,12784,a),flip(a)]. 12787 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(12785(a,2),5835(a,1,1))]. 12788 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(199,a,5837,a(flip),b,12787,a(flip)),flip(a)]. 12789 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(199,a,5835,a(flip),b,12774,a(flip))]. 12790 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(199,a,11432,a(flip),b,12789,a(flip))]. 12791 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(60(a,1),12790(a,2,2,2))]. 12792 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(199,a,12788,a,b,12791,a(flip)),flip(a)]. 12794 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(11347(a,1),12792(a,1,1))]. 12795 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(11346,a,12794,a)]. 12796 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(199,a,11347,a(flip),b,12795,a)]. 12797 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(199,a,11357,a(flip),b,12796,a(flip))]. 12799 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(199,a,11436,a(flip),b,12797,a(flip))]. 12800 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(12799(a,2),4660(a,2,1)),flip(a)]. 12801 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4661,a,12800,a)]. 12802 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(199,a,11851,a,b,12801,a),flip(a)]. 12803 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(199,a,7566,a(flip),b,12802,a(flip)),flip(a)]. 12804 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(199,a,11358,a,b,12803,a(flip)),flip(a)]. 12806 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3294(a,2),12803(a,2,2,1))]. 12807 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(12275(a,1),12804(a,1,2))]. 12808 x \ T((x * (y \ 1)) * R((x * (y \ 1)) \ T(x,z),u,u \ 1),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). [para(10226(a,2),12549(a,1,2))]. 12809 x \ T(x * ((y \ 1) * R((y \ 1) \ (x \ T(x,z)),u,u \ 1)),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). [para(887(a,1),12808(a,1,2,1))]. 12810 x \ T(x * ((y \ 1) * R((y \ 1) \ K(x,z),u,u \ 1)),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). [para(4599(a,2),12809(a,1,2,1,2,2,1,2))]. 12811 x \ T(x * (y \ R(y * K(x,z),u,u \ 1)),z) = a((y \ K(z,x / y)) \ 1,u,u \ 1). [para(1268(a,1),12810(a,1,2,1,2))]. 12812 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(12(a,1),12608(a,1,1)),flip(a)]. 12813 ((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(9289(a,1),12812(a,2,3))]. 12814 (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(9289(a,1),12813(a,1,1))]. 12815 (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(9290(a,1),12814(a,1,2))]. 12816 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(199,a,10362,a(flip),b,12815,a(flip)),flip(a)]. 12817 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5014(a,1),12816(a,1,2)),flip(a)]. 12818 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(199,a,5014,a(flip),b,12817,a)]. 12821 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(10707(a,1),12806(a,1,1))]. 12822 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(63(a,1),12821(a,1,1,2,1,2,1))]. 12823 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(10208(a,1),12822(a,1,1))]. 12824 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(199,a,6465,a(flip),b,12823,a(flip)),flip(a)]. 12826 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(63(a,1),12824(a,1,2,2,1)),flip(a)]. 12827 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(199,a,8973,a(flip),b,12826,a)]. 12829 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(199,a,12803,a(flip),b,12827,a)]. 12830 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),12829(a,2,2,1))]. 12831 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3294(a,1),12830(a,1,2,1))]. 12832 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(199,a,5008,a(flip),b,12728,a)]. 12833 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(199,a,4540,a(flip),b,12832,a)]. 12834 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(4247(a,1),12833(a,1,2,2,2))]. 12836 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(5008(a,1),12834(a,1,2,2))]. 12837 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(6784(a,1),12836(a,1,2,2)),flip(a)]. 12838 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(199,a,9917,a(flip),b,12837,a)]. 12839 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(128(a,1),12838(a,2,2))]. 12840 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(9371(a,1),12679(a,1,1))]. 12841 (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(12678(a,1),12840(a,1,2,2))]. 12842 (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(8012(a,1),12841(a,1,2))]. 12843 (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(5882(a,1),12842(a,1,2))]. 12844 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12818(a,1),12843(a,1,2)),flip(a)]. 12845 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12678(a,1),12844(a,1,1,1,1))]. 12846 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(9371(a,1),12845(a,1,1,1))]. 12847 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(12678(a,1),12846(a,1,1)),flip(a)]. 12848 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(12847(a,1),8419(a,1,1))]. 12849 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(8105(a,1),12848(a,1,2))]. 12850 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(199,a,9042,a(flip),b,12849,a(flip)),flip(a)]. 12851 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(4631(a,1),12850(a,1,2))]. 12852 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(199,a,10370,a(flip),b,12851,a(flip))]. 12854 (((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(12852(a,1),12109(a,1,1))]. 12855 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(5297(a,1),12854(a,1,1,1)),flip(a)]. 12856 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(5212(a,1),12855(a,2,2))]. 12857 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(5745(a,1),12856(a,2,2))]. 12858 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(8202(a,1),12857(a,2,2))]. 12859 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(13(a,1),12858(a,2,2,1))]. 12860 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(199,a,5948,a(flip),b,12859,a)]. 12862 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(199,a,8416,a(flip),b,12860,a)]. 12863 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5530(a,1),12862(a,1,1,1))]. 12864 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(12852(a,1),12863(a,1,1))]. 12865 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5297(a,1),12864(a,1,1,1))]. 12866 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(199,a,4272,a(flip),b,12865,a(flip)),flip(a)]. 12867 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4041(a,1),12866(a,2,1))]. 12868 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(11931(a,1),12867(a,2,2))]. 12869 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(11931(a,1),12868(a,1,1,1))]. 12870 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(199,a,12807,a(flip),b,12869,a)]. 12871 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(9498(a,1),12870(a,1,1))]. 12872 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(12302(a,2),12871(a,1,1))]. 12873 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(4068,a,12872,a)]. 12874 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(199,a,12201,a(flip),b,12873,a(flip))]. 12875 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(199,a,12831,a(flip),b,12874,a(flip))]. 12876 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9024(a,1),12875(a,1,2,1))]. 12877 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(199,a,12203,a(flip),b,12876,a(flip)),flip(a)]. 12878 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4598(a,2),12877(a,1,2,1,2))]. 12879 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(9960(a,1),12878(a,1,2,1)),flip(a)]. 12880 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(68,a,12879,a(flip),b,4652,a(flip))]. 12881 R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). [para(12879(a,1),105(a,1,2))]. 12882 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(4709,a,12880,a),flip(a)]. 12883 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(199,a,10435,a,b,12882,a),flip(a)]. 12885 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(441(a,1),12882(a,1,2)),flip(a)]. 12886 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(550(a,1),12882(a,1,2)),flip(a)]. 12887 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(12882(a,1),9039(a,1,2))]. 12888 L(K(x,y),z,u) = K(R(x,z,u),y). [hyper(199,a,11347,a,b,12883,a)]. 12889 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(199,a,11345,a,b,12883,a),flip(a)]. 12890 L(K(x,y / z),z,u) = K(x,(y * u) / (z * u)). [para(102(a,1),12883(a,2,2))]. 12891 L(K(x,(y / z) / u),u,z) = K(x,y / (u * z)). [para(441(a,1),12883(a,2,2))]. 12892 L(K(x,y / (z / u)),z / u,u) = K(x,(y * u) / z). [para(446(a,1),12883(a,2,2))]. 12893 L(K(x,T(y / z,z * u)),z,u) = K(x,(z * u) \ (y * u)). [para(795(a,1),12883(a,2,2))]. 12894 L(K(x,T(y / z,u)),z,z \ u) = K(x,u \ (y * (z \ u))). [para(823(a,1),12883(a,2,2))]. 12895 L(K(x,T(T(y,z),z * u)),z,u) = K(x,(z * u) \ ((z * y) * u)). [para(813(a,1),12883(a,2,2))]. 12897 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(10461,a,12888,a),flip(a)]. 12899 ((x * (y / x)) * z) / (y * z) = L(K(x,x \ y),y,z). [hyper(199,a,4995,a,b,12889,a(flip)),flip(a)]. 12900 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(199,a,5844,a(flip),b,12889,a(flip))]. 12901 L(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [hyper(199,a,5715,a(flip),b,12889,a(flip))]. 12902 L(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(199,a,5703,a(flip),b,12889,a(flip))]. 12903 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(12889(a,1),101(a,1,1))]. 12904 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(12889(a,1),126(a,1,1))]. 12905 L(L(K(x,y),z,u),w,v5) * (z * u) = (L(K(x,y),w,v5) * z) * u. [para(12889(a,1),432(a,1,1,1))]. 12906 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(12889(a,1),12619(a,1,1))]. 12907 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(102(a,1),12897(a,1,1)),flip(a)]. 12908 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(12897(a,1),7607(a,1))]. 12909 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(199,a,5570,a(flip),b,12902,a(flip))]. 12910 L(K(x,T(y / z,u) \ 1),z,z \ u) = K(x,(u \ (y * (z \ u))) \ 1). [para(823(a,1),12902(a,2,2,1))]. 12911 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(662(a,1),12909(a,1,2,1)),flip(a)]. 12912 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(12885(a,1),8277(a,2,2))]. 12913 L(K(x,y / (z \ u)),z \ u,z) = K(x,(y * z) / T(u,z)). [hyper(199,a,11693,a(flip),b,12890,a)]. 12914 L(K(x,(y / z) / u),u,z) = K(y / (u * z),x). [hyper(199,a,4738,a,b,12891,a)]. 12915 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(199,a,7112,a(flip),b,12900,a(flip)),flip(a)]. 12916 L(K(x,y),z,(y \ z) \ u) = K(x,(z * ((y \ z) \ u)) / u). [para(123(a,1),12901(a,1,1,2))]. 12917 L(K(x,(L(K(y,z),u,w) \ v5) \ (u * w)),u * w,L(K(y,z),u,w)) = K(x,v5 \ ((K(y,z) * u) * w)). [para(12903(a,1),6397(a,2,2,2))]. 12918 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(10435(a,1),12903(a,1,1))]. 12919 (K(x,y * z) * y) * z != u | T(y * z,L(x,y,z)) = u. [para(12903(a,1),10460(a,1))]. 12920 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(7621,a,12907,a)]. 12922 L(K(x,(y / z) / u),u,z) != w | K(x,y / (u * z)) = w. [para(12914(a,2),4862(a,1))]. 12924 K(x,T(y / (z * u),z)) = K(x,(u * z) \ (u * (y / u))). [para(94(a,1),12886(a,1,2)),flip(a)]. 12925 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(416(a,1),12886(a,1,2)),flip(a)]. 12926 L(K(x,y / (z / u)),z,u) = K(x,(y * u) / z). [hyper(12589,a,12892,a)]. 12927 ((x * (y / x)) * z) / (y * z) = K(x,x \ y). [hyper(199,a,9734,a(flip),b,12899,a)]. 12929 K(x,x \ y) * (y * z) = (x * (y / x)) * z. [para(12927(a,1),16(a,1,1))]. 12930 (x * (y / x)) * (y \ z) = K(x,x \ y) * z. [para(12927(a,1),219(a,1,1)),flip(a)]. 12932 ((x \ y) \ y) \ ((x * (y / x)) * z) = x \ (y * z). [hyper(68,a,12929,a(flip),b,4949,a)]. 12933 T(x \ y,(x * (y / x)) * z) = T(x \ y,y * z). [para(12929(a,1),6836(a,1,2))]. 12934 (x * (y / x)) \ (x * z) = y \ (T(x,x \ y) * z). [hyper(68,a,4976,a(flip),b,12930,a)]. 12935 K(x,y \ (T(z,z \ y) * u)) = K(x,T(y,z) \ (z * u)). [para(12934(a,1),11601(a,1,2))]. 12936 T(x * y,L(z,x,y)) = T(x * y,z). [hyper(12919,a,12399,a)]. 12937 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [para(12936(a,1),12881(a,1,2))]. 12938 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(12937(a,1),10027(a,1,2))]. 12939 L(K(x,T(y,z) / u),u,z) != w | K(x,(z * y) / (u * z)) = w. [para(185(a,2),12922(a,1,1,2,1))]. 12940 K(x,T(y / (z * u),z)) = K(x,(u * z) \ T(y,u)). [hyper(199,a,11622,a(flip),b,12924,a)]. 12941 K(x,T(y / (z * u),T(u,z))) = K(x,(z * T(u,z)) \ T(y,z)). [para(166(a,1),12940(a,1,2,1,2))]. 12942 L(K(x,(y / z) \ u),z \ y,z) = K(x,T(y,z) \ (z * u)). [hyper(10475,a,12935,a)]. 12943 L(K(x,y / z),z,z \ x) = K(x,x \ (y * (z \ x))). [para(4827(a,1),12894(a,1,1))]. 12944 K(x,L(K(y,z / u),u,u \ y)) = K(x,K(y,z * (u \ y))). [para(12943(a,2),7815(a,1,2))]. 12945 K(x,T(y \ (z * u),u)) = K(x,(u * z) / T(y,z)). [hyper(199,a,10507,a(flip),b,12913,a(flip)),flip(a)]. 12946 L(K(x,y),z,(x \ z) \ u) = K(y,(z * ((x \ z) \ u)) / u). [hyper(10477,a,12916,a)]. 12947 L(K(x,(y / z) \ u),y,z) = K(x,T(y,z) \ (z * u)). [hyper(12588,a,12942,a)]. 12948 L(K(x,K(y,z / u)),u,u \ y) = K(x,K(y,z * (u \ y))). [hyper(10436,a,12944,a)]. 12949 L(K(x,T(y,z)),u,(x \ u) \ z) != w | K(y,z \ (u * ((x \ u) \ z))) = w. [para(12946(a,2),7419(a,1))]. 12950 L(K(x,(y * z) / u),u,z) != w | K(x,(z * (z * y)) / (u * z)) = w. [para(11560(a,1),12939(a,1,1))]. 12951 K(x,T(y / (z * u),T(u,z))) = K(x,(u * z) \ T(y,z)). [para(105(a,1),12941(a,2,2,1))]. 12952 K(x,(y * z) \ ((y * (y / u)) * z)) = L(K(x,T(u \ y,y * z)),y,z). [para(7644(a,1),12895(a,1,1)),flip(a)]. 12953 (L(K(x,y),z,u) * w) * v5 != v6 * (w * v5) | L(L(K(x,y),w,v5),z,u) = v6. [para(12905(a,1),20(a,1))]. 12954 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(5776,a,12906,a)]. 12955 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(12367(a,1),12912(a,1,2))]. 12956 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(199,a,10520,a,b,12954,a(flip)),flip(a)]. 12957 L(K(x,T(y / z,u) \ 1),z,z \ u) = K(x,(y * (z \ u)) \ u). [hyper(199,a,6005,a(flip),b,12910,a)]. 12958 L(K(x,T((y / z) \ 1,u)),z,z \ u) = K(x,(y * (z \ u)) \ u). [para(7092(a,1),12957(a,1,1))]. 12959 L(K(x,T(y / z,u)),y,y \ u) = K(x,(z * (y \ u)) \ u). [para(9048(a,1),12958(a,1,1))]. 12960 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(199,a,24,a,b,12938,a),flip(a)]. 12961 a(x,y,z) = L(x \ R(x,y,z),x,y * z). [hyper(199,a,94,a,b,12960,a)]. 12962 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(12960(a,2),14(a,1,2))]. 12963 L(x \ R(x,K(y,T(z,u)),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). [para(7106(a,1),12961(a,2,3)),flip(a)]. 12965 ((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(7105(a,1),12962(a,1,1,1))]. 12966 K(x,y \ (z * ((u \ z) \ y))) = L(K(u,T(x,y)),z,z \ y). [hyper(12949,a,12621,a)]. 12967 K(x,y \ (z * ((u \ z) \ y))) = L(K(x,T(u,y)),z,z \ y). [para(7134(a,1),12966(a,2,1))]. 12968 L(K(x,T(y / z,u)),y,y \ u) = K(x,u \ (y * (z \ u))). [para(63(a,1),12967(a,1,2,2,2,1)),flip(a)]. 12969 K(x,(y * (z \ u)) \ u) = K(x,u \ (z * (y \ u))). [hyper(199,a,12959,a(flip),b,12968,a(flip)),flip(a)]. 12970 K(x,L(y,z,z \ 1) \ (u * T(y \ L(y,z,z \ 1),w))) = K(x,(y * (u \ L(y,z,z \ 1))) \ L(y,z,z \ 1)). [para(12064(a,2),12969(a,2,2,2,2)),flip(a)]. 12971 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(199,a,7092,a(flip),b,12911,a)]. 12972 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(199,a,9048,a(flip),b,12971,a)]. 12973 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6163,a,12972,a),flip(a)]. 12974 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(199,a,11590,a(flip),b,12973,a)]. 12975 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(5626(a,1),12973(a,2,2,1))]. 12976 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(10808(a,1),12956(a,1,1))]. 12977 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(4738(a,1),12976(a,1,1,2,2))]. 12978 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(12108,a,12977,a)]. 12979 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(7787(a,2),12978(a,1,2,2))]. 12980 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(8355(a,2),12979(a,1,2))]. 12981 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(7774(a,2),12980(a,1,2,2,2))]. 12982 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),12974(a,1,2,1,2))]. 12983 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(11804,a,12982,a),flip(a)]. 12984 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(3954(a,1),12983(a,1,2,2,1))]. 12985 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(7314(a,2),12981(a,1,2,2))]. 12986 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(8084(a,1),12984(a,1,2,1))]. 12987 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(3954(a,1),12986(a,1,2,2,2,2))]. 12989 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(199,a,11668,a(flip),b,12987,a(flip)),flip(a)]. 12990 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(11505(a,1),12989(a,2,2))]. 12991 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(199,a,11622,a(flip),b,12990,a(flip)),flip(a)]. 12992 L(K(x,(L(K(y,z),u,w) * v5) \ (u * w)),u * w,L(K(y,z),u,w)) = K(x,v5 \ ((K(y,z) * u) * w)). [para(5774(a,1),12917(a,1,1,2,1))]. 12993 K(x,L(y,z,z \ 1) \ (u * T(y \ L(y,z,z \ 1),w))) = K(x,(u \ L(y,z,z \ 1)) \ (y \ L(y,z,z \ 1))). [hyper(199,a,12581,a(flip),b,12970,a)]. 12994 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(16(a,1),12975(a,1,2,1,2))]. 12995 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(199,a,11748,a(flip),b,12994,a(flip))]. 12996 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(199,a,11777,a(flip),b,12995,a(flip)),flip(a)]. 12997 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(199,a,11683,a(flip),b,12996,a(flip)),flip(a)]. 12998 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4652(a,2),12997(a,1,2,1))]. 12999 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(3926(a,1),12998(a,1,2,1))]. 13000 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(105(a,1),12999(a,1,2,2,1))]. 13001 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(105(a,1),13000(a,1,2,2,2,2))]. 13002 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(47(a,1),13001(a,2,2,2))]. 13003 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(199,a,11622,a(flip),b,13002,a(flip)),flip(a)]. 13005 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(9758(a,1),13003(a,1,2,2,2))]. 13006 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(199,a,11606,a(flip),b,13005,a(flip)),flip(a)]. 13007 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(5515(a,2),12985(a,1,2))]. 13008 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(4738(a,1),13007(a,1,2,1,2,2))]. 13009 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(4738(a,1),13007(a,2,2,1))]. 13010 x \ T(y * T(x,K(z,u)),K(u,z * u)) = T(y,K(z * u,u) * x). [para(7811(a,1),13007(a,1,2,1,2))]. 13011 x \ T(y * T(x,K(z,u \ 1)),K(z,u)) = T(y,K(z,u \ 1) * x). [para(7881(a,1),13008(a,1,2))]. 13012 a(x,y,z) \ (u \ T(a(x,y,z) * T(u,K(w,v5)),K(w,v5))) = a(K(w,v5) * u,y,K(x,z)). [hyper(68,a,13009,a,b,12284,a)]. 13013 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(199,a,13007,a(flip),b,13009,a(flip))]. 13014 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [para(13009(a,1),14(a,1,2)),flip(a)]. 13015 x \ T(y * T(x,K(z \ 1,u)),K(1 / z,u)) = T(y,K(1 / z,u) * x). [para(3082(a,1),13009(a,1,2,1,2,2))]. 13016 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(4961(a,1),13013(a,1,2)),flip(a)]. 13017 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(z,u) * x) = w. [para(13014(a,2),254(a,1,2)),flip(b)]. 13018 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(13007(a,1),13017(a,1))]. 13019 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(13009(a,2),13018(a,1))]. 13020 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,u) * x). [para(7811(a,1),13010(a,1,2))]. 13021 T(x,K(y * z,z) * u) = T(x,K(y,z) * u). [hyper(13017,a,13020,a),flip(a)]. 13022 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(5337(a,1),13021(a,1,2,1))]. 13023 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(13018,a,13022,a)]. 13024 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(9969,a,13023,a),flip(a)]. 13025 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(9967,a,13024,a),flip(a)]. 13026 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u \ 1) * x). [para(7879(a,1),13011(a,1,2,1,2))]. 13027 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x). [hyper(199,a,13013,a,b,13026,a)]. 13028 T(x,K(y,z \ 1) * u) != w | T(x,K(y,z) * u) = w. [para(13026(a,1),13017(a,1))]. 13029 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [hyper(13019,a,13027,a),flip(a)]. 13030 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(5270(a,1),13029(a,1,2)),flip(a)]. 13031 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(7880(a,1),13030(a,1,2,2))]. 13032 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(105(a,1),13031(a,1,2)),flip(a)]. 13033 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13032(a,1),13006(a,1,2,2))]. 13034 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5255(a,1),13033(a,1,2,2,2,2))]. 13035 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13025(a,1),13034(a,1,2,2))]. 13036 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4652(a,2),13035(a,1,2,2,2))]. 13037 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(11694,a,13036,a)]. 13038 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(199,a,11607,a(flip),b,13037,a(flip))]. 13039 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8074(a,1),13038(a,1,2))]. 13040 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(8077,a,13039,a),flip(a)]. 13041 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(4882(a,1),13040(a,1,2,1)),flip(a)]. 13042 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(170(a,1),13041(a,2,2,2,2))]. 13043 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(8078(a,1),13042(a,2,2,2))]. 13044 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(199,a,11818,a(flip),b,13043,a)]. 13045 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(199,a,11776,a(flip),b,13044,a)]. 13046 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(199,a,11683,a(flip),b,13045,a)]. 13047 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(4652(a,2),13046(a,2,2,1))]. 13048 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(199,a,12991,a(flip),b,13047,a)]. 13049 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),13048(a,1,2,1,2))]. 13050 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(7078(a,1),13049(a,1,2))]. 13051 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(9920(a,1),13050(a,1,2)),flip(a)]. 13052 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),13051(a,1,2,1)),flip(a)]. 13053 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),13052(a,1,2,1)),flip(a)]. 13054 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(7975,a,13053,a)]. 13055 K(x,T(y,z * (z * u))) = K(x,T(y,u)). [para(13(a,1),13053(a,1,2,2)),flip(a)]. 13057 K(x,T(y,z * u)) = K(x,T(y,u * z)). [hyper(199,a,13053,a(flip),b,13054,a(flip))]. 13058 K(x,y) * K(x,T(y,z * u)) = K(x,K(y,u \ z)). [para(13054(a,1),7779(a,1,2))]. 13059 K(x,T(y,(z \ u) * z)) = K(x,T(y,u)). [para(14(a,1),13057(a,1,2,2)),flip(a)]. 13062 L(K(x,T(y \ z,y * u)),y,u) = K(x,(u * z) / (u * y)). [para(13057(a,1),10485(a,1,1))]. 13063 L(K(x,T(y / z,u * z)),z,u) = K(x,(z * u) \ (y * u)). [para(13057(a,1),12893(a,1,1))]. 13064 L(K(x,T(T(y,z),u * z)),z,u) = K(x,(z * u) \ ((z * y) * u)). [para(13057(a,1),12895(a,1,1))]. 13066 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(9923(a,1),13059(a,1,2))]. 13067 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(7247,a,13066,a)]. 13071 K(x,T(y,T(z,u))) = T(K(x,y),z). [hyper(199,a,7084,a(flip),b,13066,a)]. 13072 K(x,T(y / (z * u),u)) = K(x,(u * z) \ T(y,z)). [hyper(199,a,12951,a(flip),b,13066,a(flip))]. 13073 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(107(a,1),13066(a,1,2,2)),flip(a)]. 13076 K(x,K(y,T(z,u))) = K(x,y) * K(x,T(y,z)). [para(13066(a,1),7779(a,1,2)),flip(a)]. 13083 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(13067(a,1),10724(a,1,2))]. 13085 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(13071(a,2),7132(a,1))]. 13086 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(199,a,12915,a,b,13073,a),flip(a)]. 13087 K(x,T(y,z / u)) = K(x,T(y,u * z)). [hyper(199,a,13053,a(flip),b,13073,a)]. 13091 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(9920(a,1),13085(a,1,2))]. 13094 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(199,a,7779,a(flip),b,13076,a)]. 13095 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(13076(a,2),7782(a,1))]. 13096 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(7907,a,13094,a)]. 13097 K(K(x,y),T(z,u)) = K(x,K(y,z)). [hyper(7730,a,13094,a)]. 13099 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(199,a,7498,a(flip),b,13094,a(flip)),flip(a)]. 13100 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(107(a,1),13094(a,1,2,2)),flip(a)]. 13101 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7070(a,1),13094(a,1,2))]. 13102 K(x,K(T(y,z),u)) = K(x,K(y,u)). [para(7141(a,2),13094(a,1,2))]. 13103 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(13094(a,1),7258(a,1,2)),flip(a)]. 13104 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(7301(a,1),13094(a,1,2))]. 13105 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(9931(a,1),13094(a,1,2))]. 13106 K(x,K(y,z)) * K(y,T(z,u) * x) = K(y,x * T(z,u)). [para(13094(a,1),9975(a,1,1))]. 13107 K(x,K(y,z)) * K(y,(u * (z / u)) * x) = K(y,x * (u * (z / u))). [para(13094(a,1),9976(a,1,1))]. 13109 K(x,K(y,z)) * u = u * K(x,K(z,y)). [para(13096(a,1),7258(a,1,2)),flip(a)]. 13110 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(9936(a,2),13096(a,1,2))]. 13111 K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z * T(y,u)). [para(13096(a,1),9973(a,1,1))]. 13112 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [para(13097(a,1),7155(a,1,1))]. 13115 K(x,K(y,z)) * K(x,T(y,u) \ z) = K(x,z / T(y,u)). [para(13102(a,1),8112(a,1,1))]. 13117 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(7902,a,13100,a)]. 13118 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(199,a,8433,a,b,13100,a),flip(a)]. 13119 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(199,a,8186,a,b,13100,a),flip(a)]. 13120 K(x,K(y,z \ u)) != w | K(x,K(y,z / u)) = w. [para(13100(a,1),7902(a,1))]. 13121 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(12439(a,2),13100(a,2,2)),flip(a)]. 13122 L(K(x,K(y,z \ u)),z,z \ y) = K(x,K(y,u * (z \ y))). [para(13100(a,1),12948(a,1,1))]. 13123 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(13101(a,2),5289(a,1))]. 13124 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(8485,a,13103,a),flip(a)]. 13126 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(5147,a,13103,a)]. 13127 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(199,a,8122,a(flip),b,13103,a)]. 13128 T(x,K(y,K(z,u))) = x. [hyper(188,a,13103,a)]. 13129 K(K(x,y),K(z,u)) = 1. [hyper(67,a,13103,a,b,7723,a),flip(a)]. 13131 T(x,T(y,K(z,u))) = T(x,y). [hyper(17,a,6883,a(flip),b,13103,a)]. 13132 (x * (y * K(z,K(u,w)))) \ (x * (y * (v5 * K(z,K(u,w))))) != v6 | L(L(v5,K(z,K(u,w)),y),y * K(z,K(u,w)),x) = v6. [para(13103(a,1),719(a,1,2,2,2))]. 13134 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(9927,a,13128,a)]. 13136 T(x * y,K(z,K(u,w))) = T(y,x) * x. [hyper(199,a,166,a,b,13128,a)]. 13139 T(x,y * K(z,u)) != w | T(x,K(z,u) * y) = w. [para(13128(a,1),9927(a,1))]. 13140 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(13128(a,1),9929(a,1,1))]. 13141 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(13128(a,1),13007(a,1,2,1,2))]. 13142 T(K(x,y),K(z,u)) = K(x,y). [hyper(37,a,13129,a)]. 13144 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(6875(a,1),13131(a,1,2))]. 13147 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(13131(a,1),7497(a,2,2))]. 13148 T(x,T(y,z / u)) = T(x,T(y,u \ z)). [para(6960(a,1),13131(a,1,2)),flip(a)]. 13149 T(K(x,y) / T(z,u),z) = T(z,u) \ K(x,y). [para(13131(a,1),8043(a,1,1,2))]. 13151 T(x,T(y,z * u)) = T(x,T(y,u * z)). [para(9926(a,1),13131(a,1,2))]. 13152 K(x,T(T(y,K(z,u)),w)) = K(x,T(y,w)). [hyper(7375,a,13142,a)]. 13154 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(6166,a,13142,a),flip(a)]. 13159 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(13142(a,1),105(a,1,2))]. 13167 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(13142(a,1),7108(a,1))]. 13172 T(x,T(T(y,z) \ u,y)) = T(x,u / T(y,z)). [hyper(7596,a,13144,a),flip(a)]. 13176 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(13167,a,12920,a),flip(a)]. 13177 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(13167,a,9933,a),flip(a)]. 13179 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(5573(a,1),13167(a,1,2,2))]. 13181 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(6313(a,1),13167(a,1,2))]. 13182 K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. [para(6289(a,1),13167(a,1,2))]. 13185 K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. [para(9946(a,1),13167(a,1))]. 13187 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(13105(a,1),7739(a,1))]. 13188 K(x,K(y,z)) * (u * z) != w | u * T(z,K(x,y)) = w. [para(13109(a,2),7768(a,1))]. 13189 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(199,a,9759,a(flip),b,13110,a(flip)),flip(a)]. 13190 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),13117(a,2,2,2))]. 13191 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(13117(a,1),7902(a,1))]. 13192 T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). [para(5937(a,1),13134(a,2,2))]. 13193 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(13134(a,1),13014(a,2,2))]. 13194 K(x,T(y,z) * z) != u | K(x,z * y) = u. [para(13136(a,1),13167(a,1,2))]. 13195 K(x,T(T(y,z) * z,u)) = K(x,T(z * y,u)). [para(13136(a,1),13152(a,1,2,1))]. 13196 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(199,a,12925,a,b,13154,a),flip(a)]. 13200 (x * (K(y,z) * K(u,w))) * a(x,K(u,w),K(y,z)) = (x * K(u,w)) * K(y,z). [para(13159(a,1),83(a,1,1,2))]. 13202 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(10444(a,1),13177(a,2,2))]. 13203 K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,z)). [para(12491(a,1),13177(a,2,2))]. 13204 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7141(a,2),13095(a,1,2))]. 13205 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(9931(a,1),13095(a,1,2))]. 13206 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(9946(a,1),13095(a,1,2))]. 13207 K(x,y * T(z,y)) != u | K(x,z * y) = u. [para(192(a,1),13194(a,1,2))]. 13210 K(x,L(y,K(z,u) * x,w)) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(13147(a,1),12918(a,2,1))]. 13211 (T(x,y) \ z) \ K(u,x \ z) = T(x \ z,u) \ K(x,y). [hyper(12682,a,13149,a)]. 13212 T(x,T((y / ((z \ 1) \ 1)) \ u,T(z,z \ 1) \ y)) = T(x,u / T(T(z,z \ 1) \ y,z)). [para(2909(a,1),13172(a,1,2,1,1))]. 13213 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(12385(a,2),13091(a,1,2))]. 13216 T(x,y * (z * K(u,z \ 1))) != w | T(x,K(u,z \ 1) * (y * z)) = w. [para(6705(a,1),13139(a,1,2))]. 13218 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(12439(a,2),13191(a,1,2))]. 13219 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(101(a,1),13205(a,1,2,2))]. 13223 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [hyper(7782,a,13058,a),flip(a)]. 13224 K(x,K(y,z / u)) = K(x,K(y,u * z)). [hyper(13120,a,13223,a)]. 13225 x * K(x,K(y,z * u)) = T(x,K(y,u \ z)). [para(13223(a,1),4652(a,2,2)),flip(a)]. 13226 K(x,K(y,z * u)) != w | K(x,K(y,u / z)) = w. [para(13223(a,1),13120(a,1))]. 13227 K(x,(y / z) * u) * K(x,K(u,z * y)) != w | K(x,u * (y / z)) = w. [para(13224(a,1),9972(a,1,2))]. 13228 K(x,(y / z) \ u) * K(x,K(u,y * z)) = K(x,u * ((y / z) \ 1)). [para(13224(a,1),12445(a,1,2))]. 13229 T(x,K(y,z \ u)) = T(x,K(y,u * z)). [hyper(4655,a,13225,a),flip(a)]. 13231 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [hyper(7891,a,13229,a)]. 13232 x \ T(y * T(x,K(z,u \ w)),K(z,w * u)) = T(y,K(z,u \ w) * x). [hyper(68,a,13229,a(flip),b,13014,a(flip))]. 13233 T(x,K(y \ 1,z \ u)) = T(x,K(y,z * u)). [hyper(199,a,7886,a(flip),b,13231,a)]. 13234 T(T(x,K(y,z * u)),(z \ u) * y) = T(x,y * (z \ u)). [para(13231(a,1),9921(a,1,1))]. 13235 x \ T(y * T(x,K(z,u * w)),K(1 / z,u \ w)) = T(y,K(1 / z,u \ w) * x). [para(13233(a,1),13015(a,1,2,1,2))]. 13237 K(x,(y * z) \ T(u * (z * y),z)) = K(x,T(u,y)). [para(15(a,1),13072(a,1,2,1)),flip(a)]. 13238 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(199,a,7102,a,b,13112,a)]. 13239 K(x,((y \ z) * y) \ T(u * z,y)) = K(x,T(u,y \ z)). [para(14(a,1),13237(a,1,2,2,1,2))]. 13240 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(13238(a,2),19(a,1))]. 13241 K(x,K(y,z) \ (u * y)) = K(x,u * T(y,z)). [hyper(13182,a,11598,a(flip)),flip(a)]. 13242 K(x,K(y,z) \ (u * y)) != w | K(x,u * T(y,z)) = w. [para(5028(a,2),13182(a,1,2))]. 13243 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(13105(a,1),13218(a,1))]. 13244 K(x,K(y,z)) * K(x,T(y \ 1,u) \ z) = K(x,z / T(y \ 1,u)). [para(7849(a,1),13115(a,1,1))]. 13245 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(13128(a,1),13141(a,1,2)),flip(a)]. 13246 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(199,a,32,a,b,13245,a)]. 13248 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(13018,a,13246,a)]. 13249 T(x,y * T(z,K(u,w))) = T(x,y * z). [hyper(199,a,13192,a(flip),b,13246,a(flip)),flip(a)]. 13250 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [para(13246(a,1),11596(a,1,2)),flip(a)]. 13251 K(K(x,K(y,z)) * u,w) = w / T(w,u). [para(13248(a,1),4596(a,2,2))]. 13252 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(7093(a,1),13248(a,1,2))]. 13253 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(7790(a,1),13248(a,1,2))]. 13256 T(x,K(T(y,z),u)) = T(x,K(y,u)). [para(7141(a,2),13252(a,1,2))]. 13257 T(T(x,K(y,z)),z / T(y,u)) != w | T(x,T(y,u) \ z) = w. [para(13256(a,1),7829(a,1,1))]. 13258 T(x,y * (z * K(y,u))) = T(x,T(y,u) * z). [para(4907(a,1),13249(a,1,2))]. 13261 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(13250(a,2),4709(a,1))]. 13262 K(x * K(y,K(z,u)),w) = w / T(w,x). [hyper(13185,a,13251,a)]. 13263 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(199,a,4596,a,b,13251,a)]. 13264 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(13185,a,13263,a)]. 13266 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(9153(a,1),13263(a,1,1))]. 13267 K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). [para(13264(a,1),4660(a,2,1)),flip(a)]. 13268 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(5941(a,1),13264(a,1,1)),flip(a)]. 13269 T(x,K(y,z / u)) = T(x,K(y,u * z)). [hyper(199,a,13231,a(flip),b,13253,a)]. 13270 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(13262(a,2),4681(a,1))]. 13271 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(199,a,12920,a,b,13268,a),flip(a)]. 13272 T(T(x,y),K(y,z * u)) = T(x,T(y,u / z)). [hyper(6897,a,13269,a),flip(a)]. 13273 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [hyper(13261,a,13203,a),flip(a)]. 13274 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(13261,a,13177,a),flip(a)]. 13275 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(13261,a,11599,a),flip(a)]. 13276 K(x,K(y,K(z,u)) \ w) = K(x,w). [hyper(13261,a,11598,a(flip)),flip(a)]. 13277 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(5074(a,1),13261(a,1,2))]. 13278 K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. [para(5437(a,1),13261(a,1,2))]. 13279 K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. [para(5438(a,1),13261(a,1,2))]. 13280 K(x,K(y,T(z,u)) * w) != v5 | K(x,K(y,z) * w) = v5. [para(7120(a,1),13261(a,1,2))]. 13281 K(x,(K(y,z) * u) * w) != v5 | K(x,(u * K(y,z)) * w) = v5. [para(9880(a,1),13261(a,1,2))]. 13282 K(x,y * T(z,K(u,w))) = K(x,y * z). [para(1224(a,1),13274(a,1,2))]. 13283 K(x,y / T(z,K(u,w))) = K(x,y / z). [para(5941(a,1),13274(a,1,2)),flip(a)]. 13284 K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). [para(9767(a,1),13274(a,1,2)),flip(a)]. 13285 K(x,y \ T(z,u / w)) = K(x,y \ T(z,w \ u)). [para(6960(a,1),13273(a,1,2,2)),flip(a)]. 13286 K(x,L(y \ 1,y,z) \ u) = K(x,((z * y) \ z) \ u). [para(1990(a,1),13275(a,1,2,1))]. 13287 K(x,y * T(z,u / w)) = K(x,y * T(z,w \ u)). [para(6960(a,1),13282(a,1,2,2)),flip(a)]. 13288 K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). [para(6875(a,1),13283(a,1,2,2))]. 13289 K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. [para(6235(a,1),13270(a,1,1))]. 13290 T(x,(1 / y) * (z * K(y \ 1,u))) = T(x,T(1 / y,u) * z). [para(3082(a,1),13258(a,1,2,2,2))]. 13291 T(x,T(y,z / u)) != w | T(x,T(y,u * z)) = w. [para(13272(a,1),6897(a,1))]. 13292 K(x,T(y \ (T(z,u) * w),w)) = K(x,(w * T(z,u)) / T(y,z)). [hyper(199,a,12945,a,b,13288,a(flip)),flip(a)]. 13293 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. [para(6313(a,1),13277(a,1,2,1))]. 13294 K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. [para(10520(a,1),13277(a,1,2,1))]. 13295 K(x,(T(y,z) * z) \ u) != w | K(x,(z * y) \ u) = w. [para(13136(a,1),13277(a,1,2,1))]. 13296 K(x,y \ (K(z,u) * w)) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(6231(a,1),13279(a,1,2,2))]. 13297 K(x,y \ (z * K(u,w))) != v5 | K(x,y \ (K(u,w) * z)) = v5. [para(6313(a,1),13279(a,1,2,2))]. 13298 T(x,T((y / z) * u,T(z,(z \ y) * u) * y)) = T(x,u * (y / z)). [hyper(13291,a,10029,a)]. 13299 T(x,T(y,z \ u)) != w | T(x,T(y,z * u)) = w. [para(13148(a,1),13291(a,1))]. 13300 K(x,(T(y,z) \ z) \ T(u,y \ z)) = K(x,u / (T(y,z) \ z)). [hyper(11571,a,13285,a),flip(a)]. 13302 K(x / y,z \ T(u,y \ x)) != w | K(x / y,z \ u) = w. [para(13285(a,1),6852(a,1))]. 13303 K(x,(y / z) \ T(u,z \ y)) != w | K(x,u / (y / z)) = w. [para(13285(a,1),11567(a,1))]. 13304 K(x,K(y,z \ u) * w) != v5 | K(x,K(y,u / z) * w) = v5. [para(107(a,1),13280(a,1,2,1,2))]. 13305 K(x,K(y,z / u) * w) != v5 | K(x,K(y,u \ z) * w) = v5. [para(170(a,1),13280(a,1,2,1,2))]. 13306 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(13193(a,1),47(a,1,1))]. 13308 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(199,a,5224,a(flip),b,13196,a)]. 13309 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8753,a,13308,a)]. 13311 T(x,y * (T(z \ u,z) \ K(z,z \ 1))) = T(x,y / (u / ((z \ 1) \ 1))). [para(13211(a,1),12721(a,1,2,2))]. 13312 T(T(x,K(y,z * T(u,w))),(z \ ((u \ w) \ w)) * y) = T(x,y * (z \ ((u \ w) \ w))). [para(11543(a,1),13234(a,1,1,2))]. 13313 K(x,T(y,z) \ T(u * y,z)) = K(x,T(u,z \ y)). [hyper(199,a,11590,a(flip),b,13239,a(flip)),flip(a)]. 13314 K(x,T(y,z) \ T(u * y,z)) = K(x,T(u,z * y)). [hyper(199,a,13053,a(flip),b,13313,a)]. 13315 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(5008(a,1),13313(a,2,2,2))]. 13316 K(x,T(y / z,u * z)) = K(x,T(z,u) \ T(y,u)). [para(16(a,1),13314(a,1,2,2,1)),flip(a)]. 13317 K(x,T((y * z) / u,z * u)) = K(x,T(u,z) \ (z * y)). [hyper(199,a,11621,a(flip),b,13316,a)]. 13318 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(4977,a,13267,a),flip(a)]. 13319 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(13318(a,2),7748(a,1,1))]. 13320 L(K(x,T((y * z) / u,(1 / z) * u)),u,1 / z) = K(x,(u * (1 / z)) \ T((z * y) * (1 / z),z)). [para(2176(a,2),13063(a,2,2,2))]. 13321 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(199,a,13100,a,b,13104,a)]. 13322 K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. [para(13127(a,1),13261(a,1,2))]. 13323 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [hyper(13322,a,13284,a(flip)),flip(a)]. 13325 K(x,y * (T(z,K(u,w)) / v5)) != v6 | K(x,y * (z / v5)) = v6. [para(1221(a,1),13322(a,1,2,2))]. 13326 K(x,y * (z \ T(u,K(w,v5)))) != v6 | K(x,y * (z \ u)) = v6. [para(1222(a,1),13322(a,1,2,2))]. 13327 K(x,y * (T(z,K(u,w)) \ v5)) = K(x,y * (z \ v5)). [para(4896(a,1),13323(a,1,2,2)),flip(a)]. 13328 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * ((w * K(z,u)) \ v5)). [para(9153(a,1),13323(a,1,2,2))]. 13329 K(x,y * (T(z,T(u,w)) \ v5)) = K(x,y * (T(z,u) \ v5)). [para(6875(a,1),13327(a,1,2,2,1))]. 13330 K(x,y * (T(z,u) \ T(u,w))) = K(x,y * (T(u,w) / z)). [hyper(199,a,11555,a(flip),b,13329,a(flip))]. 13331 T(x,y * (T(z,u) \ T(u,w))) = x * K(x,y * (T(u,w) / z)). [para(13330(a,1),4652(a,2,2))]. 13332 K(x,y * (T(z,u \ 1) \ T((w * u) \ w,v5))) = K(x,y * (T((w * u) \ w,v5) / z)). [para(6138(a,1),13330(a,1,2,2,1))]. 13333 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(11670,a,13202,a)]. 13334 K(x / y,z \ T(y,x)) = K(x / y,z \ y). [hyper(13302,a,11582,a),flip(a)]. 13335 K(x / y,z \ T(y,x)) = K(y / z,y \ x). [hyper(199,a,7508,a(flip),b,13334,a)]. 13336 K(x \ T(y,z),z / y) = K(y / x,y \ z). [hyper(4862,a,13335,a)]. 13337 K(x \ T(y,z),T(y,z) \ z) = K(y / x,y \ z). [hyper(11568,a,13336,a)]. 13338 K(x \ T(y,x * z),(x \ T(y,x * z)) \ z) = K(y / x,y \ (x * z)). [hyper(9837,a,13337,a)]. 13339 K(x,K(y,z / u) * w) = K(x,K(y,z \ u) * w). [hyper(13304,a,11644,a)]. 13340 x / T(x,K(y,z \ u) * w) = K(x,K(y,u / z) * w). [hyper(13304,a,4744,a),flip(a)]. 13341 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),13321(a,1,2,2,1)),flip(a)]. 13342 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7302(a,2),13321(a,1,2))]. 13344 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(5601(a,1),13099(a,2,2))]. 13345 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(199,a,8196,a(flip),b,13344,a)]. 13347 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(13345(a,2),8233(a,1))]. 13348 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),13176(a,1,1,1,1))]. 13349 T(x,y \ (z * K(y \ 1,u))) = T(x,T(1 / y,u) * z). [hyper(199,a,12457,a(flip),b,13290,a(flip)),flip(a)]. 13350 T(x,(y \ z) * K(y \ 1,u)) = T(x,T(1 / y,u) * z). [para(8684(a,1),13349(a,1,2))]. 13351 K(x,T(y * (T(z,u) * w),w)) = K(x,(w * T(z,u)) / T(y \ 1,z)). [hyper(12510,a,13292,a)]. 13352 K(x,(y / z) \ T(u,z \ y)) = K(x,u / (T(z,y) \ y)). [hyper(199,a,11570,a(flip),b,13300,a(flip)),flip(a)]. 13353 K(x,y / (T(z,u) \ u)) = K(x,y / (u / z)). [hyper(13303,a,13352,a),flip(a)]. 13354 K(x,y / (T(T(z,u),w) \ u)) = K(x,y / (u / T(z,w))). [para(38(a,1),13353(a,1,2,2,1))]. 13355 K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). [para(3935(a,1),13353(a,1,2,2))]. 13356 K(x,y / ((z / u) / u)) = K(x,y / (u \ (u \ z))). [para(107(a,1),13355(a,1,2,2,2)),flip(a)]. 13357 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(13124(a,1),13319(a,1,1,1))]. 13358 T(x,y * (T(z,u) \ T(u,w))) = T(x,y * (T(u,w) / z)). [hyper(199,a,4652,a,b,13331,a)]. 13359 T(x,y * (T(z,u) \ T(u,w))) != v5 | T(x,y * (T(u,w) / z)) = v5. [para(13331(a,2),4655(a,1))]. 13360 T(x,y * (T(z,u) \ T(u,u \ w))) = T(x,y * (((u \ w) \ w) / z)). [para(106(a,1),13358(a,2,2,2,1))]. 13361 K(x,(y * z) \ ((y * u) * z)) = (z * (K(x,u) * y)) / (z * y). [hyper(199,a,8467,a(flip),b,13064,a(flip))]. 13362 K(x,(y * z) / (y * (u \ z))) = K(x,(z * y) \ ((z * u) * y)). [hyper(199,a,9122,a,b,13361,a),flip(a)]. 13363 K(x,(y * z) \ ((y * (y / u)) * z)) = K(x,(z * y) / (z * u)). [para(63(a,1),13362(a,1,2,2,2)),flip(a)]. 13364 L(K(x,T(y \ z,z * u)),z,u) = K(x,(u * z) / (u * y)). [hyper(199,a,12952,a(flip),b,13363,a(flip)),flip(a)]. 13365 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(199,a,7845,a(flip),b,13119,a)]. 13366 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(13123,a,13365,a)]. 13367 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),13366(a,1,2,1,1))]. 13368 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(199,a,13202,a(flip),b,13333,a(flip))]. 13369 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(199,a,6714,a,b,13368,a(flip)),flip(a)]. 13370 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4652(a,2),13369(a,2,2,2))]. 13371 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(12418,a,13370,a)]. 13372 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(11732,a,13371,a)]. 13373 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(12468,a,13372,a),flip(a)]. 13374 K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z / T(y \ 1,u)). [hyper(199,a,13111,a,b,13372,a),flip(a)]. 13375 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(11585,a,13373,a)]. 13376 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(13375(a,1),4660(a,2,1))]. 13377 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(199,a,4660,a,b,13376,a)]. 13378 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(199,a,13008,a,b,13377,a(flip)),flip(a)]. 13380 K(x,y * (z * (u / z))) = K(y,K(x,u)) * K(x,T(u,z) * y). [para(11593(a,1),13107(a,1,2)),flip(a)]. 13382 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [hyper(199,a,13106,a(flip),b,13380,a)]. 13383 K(x,K(y,z) \ (u * y)) = K(x,u * (z * (y / z))). [hyper(199,a,13241,a,b,13382,a),flip(a)]. 13384 K(x,y * (z * (u / z))) != w | K(x,y * T(u,z)) = w. [para(13383(a,1),13242(a,1))]. 13386 K(x,(y / z) \ u) * K(x,K(u,y * z)) = K(x,u / (y / z)). [hyper(199,a,12317,a(flip),b,13228,a)]. 13387 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). [hyper(17,a,13374,a,b,13244,a)]. 13388 K(x,T(1 / y,z) \ u) = K(x,T(y,z) * u). [hyper(12595,a,13387,a)]. 13389 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K((x * L(K(z,u),w,v5)) \ y,v8). [hyper(13179,a,13271,a),flip(a)]. 13390 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(13277,a,13315,a)]. 13392 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [para(4384(a,2),13390(a,1,2))]. 13393 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(13278,a,13392,a),flip(a)]. 13395 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(199,a,7139,a(flip),b,13393,a)]. 13396 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(13091,a,13395,a)]. 13400 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [hyper(199,a,13087,a,b,13395,a(flip)),flip(a)]. 13401 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). [para(5480(a,1),13395(a,1,2,2))]. 13402 (K(x,y) * z) * K(u,T(w,z)) = K(u,w) * (K(x,y) * z). [para(13395(a,1),7105(a,1,2))]. 13407 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(199,a,13087,a,b,13396,a(flip)),flip(a)]. 13408 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(5943(a,1),13396(a,1,2,2)),flip(a)]. 13410 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(13396(a,1),7106(a,1,1))]. 13414 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(13396(a,1),12908(a,1))]. 13415 T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). [para(13400(a,1),4652(a,2,2))]. 13416 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(13407(a,1),7106(a,1,1))]. 13417 K(x,T(y,T(z,u) * w)) = K(x,T(y,w * z)). [hyper(13091,a,13401,a)]. 13418 L(K(x,T(y \ z,y * u)),y,T(T(u,y),w)) = K(x,(T(T(u,y),w) * z) / (T(T(u,y),w) * y)). [para(13401(a,1),10514(a,1,1))]. 13420 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [hyper(199,a,4652,a,b,13415,a)]. 13421 T(x,T(y,z * T(u,w))) = T(x,T(y,z * u)). [para(6255(a,1),13420(a,1,2,2))]. 13422 T(x,T(y,T(z,u) * w)) = T(x,T(y,w * z)). [hyper(199,a,13151,a,b,13421,a(flip)),flip(a)]. 13423 T(x,T((y / z) * u,y * z)) = T(x,u * (y / z)). [hyper(199,a,13298,a(flip),b,13422,a(flip))]. 13424 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(7786,a,13408,a)]. 13427 T(x,T(((y \ 1) / z) * u,y \ z)) = T(x,u * ((y \ 1) / z)). [para(12455(a,1),13423(a,1,2))]. 13429 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(154,a,13410,a(flip),b,9303,a),flip(a)]. 13431 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3387(a,1),13410(a,1,1))]. 13432 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(199,a,12526,a(flip),b,13416,a(flip)),flip(a)]. 13433 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(199,a,12536,a,b,13432,a(flip)),flip(a)]. 13434 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(7742,a,13429,a),flip(a)]. 13435 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(18,a,7727,a,b,13429,a),flip(a)]. 13436 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(13226,a,13435,a)]. 13438 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(13205,a,13435,a)]. 13441 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(5936(a,1),13435(a,1,2,2)),flip(a)]. 13442 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(5944(a,1),13435(a,1,2,2)),flip(a)]. 13443 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(5943(a,1),13435(a,1,2,2)),flip(a)]. 13444 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(6504(a,1),13435(a,1,2,2)),flip(a)]. 13445 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(199,a,5286,a,b,13436,a)]. 13447 T(x,K(y,K(z,u) * w)) = x * K(x,K(y,w)). [para(13438(a,1),4652(a,2,2))]. 13448 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5113(a,1),13438(a,1,2,2))]. 13450 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(9123(a,1),13438(a,1,2,2))]. 13451 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8231,a,13445,a)]. 13452 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(7904,a,13445,a),flip(a)]. 13453 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(5289,a,13445,a)]. 13454 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(13445(a,1),7904(a,1))]. 13455 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(8128,a,13452,a)]. 13456 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1221(a,1),13452(a,1,2,1))]. 13458 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(199,a,13452,a,b,13453,a)]. 13459 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(171(a,1),13441(a,1,2,2,2)),flip(a)]. 13460 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(199,a,4652,a,b,13447,a)]. 13461 T(x,K(y,z * T(u,w))) = T(x,K(y,z * u)). [para(5480(a,1),13460(a,1,2,2))]. 13462 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(199,a,13367,a(flip),b,13456,a(flip))]. 13463 T(T(x,K(y,z * u)),(z \ T(u,w)) * y) = T(x,y * (z \ T(u,w))). [para(13461(a,1),13234(a,1,1))]. 13465 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(5888,a,13434,a),flip(a)]. 13469 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(13443(a,2),8116(a,1,1))]. 13470 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1221(a,1),13444(a,1,2,2,1))]. 13471 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(5431(a,1),13444(a,1,2,2,1))]. 13472 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6188(a,1),13444(a,1,2,2,1))]. 13473 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(13444(a,2),13205(a,1))]. 13474 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(13218,a,13450,a)]. 13476 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(199,a,8277,a(flip),b,13458,a(flip))]. 13480 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(199,a,8121,a,b,13451,a)]. 13482 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(7105(a,1),13455(a,1,2,2,1))]. 13483 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(171(a,1),13470(a,1,2,2,1,1)),flip(a)]. 13484 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(13205,a,13471,a)]. 13485 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(199,a,13121,a(flip),b,13474,a)]. 13486 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(7902,a,13485,a)]. 13487 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [para(4622(a,1),13485(a,1,2,2,1))]. 13488 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5480(a,1),13485(a,1,2,2,1))]. 13489 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(5840(a,1),13486(a,1,2,2,2))]. 13490 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(7317(a,1),13486(a,1,2,2,2)),flip(a)]. 13491 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(199,a,13341,a(flip),b,13487,a)]. 13492 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(819(a,1),13487(a,1,2,2)),flip(a)]. 13493 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(13487(a,1),7902(a,1))]. 13494 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(13490(a,1),13238(a,1,1))]. 13496 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(199,a,12686,a(flip),b,13462,a(flip)),flip(a)]. 13497 K(x,K(T(R(y,z,u),z),L(w,z * u,v5))) = K(x,K(w,(((z * y) * u) * v5) / (v5 * (z * u)))). [para(684(a,1),13462(a,1,2,1))]. 13498 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(5935(a,1),13473(a,1,2,2))]. 13499 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(6218(a,1),13473(a,1,2,2,1))]. 13500 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(13105(a,1),13473(a,1))]. 13501 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(13493,a,13488,a)]. 13502 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(7865(a,1),13493(a,1))]. 13503 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(107(a,1),13501(a,1,2,2,2,1)),flip(a)]. 13504 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(85(a,1),13500(a,1,2,2,2))]. 13505 K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. [para(7105(a,1),13500(a,1,2,2,2))]. 13506 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(8172(a,1),13500(a,1,2,2,2))]. 13508 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(9150(a,1),13505(a,1,2,2))]. 13510 T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u * (((y \ 1) \ 1) / z)). [para(12452(a,1),13427(a,1,2))]. 13511 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(199,a,12566,a(flip),b,13431,a(flip))]. 13512 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(199,a,13433,a(flip),b,13511,a(flip))]. 13513 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(13512(a,2),8999(a,2,2))]. 13514 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(745(a,1),13472(a,1,2,2,1,1)),flip(a)]. 13515 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(13205,a,13483,a)]. 13516 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(199,a,7865,a,b,13489,a)]. 13517 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(60(a,1),13515(a,1,2,2,2,1,2)),flip(a)]. 13518 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(13515(a,1),13205(a,1))]. 13519 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(13502,a,13516,a)]. 13520 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(13519(a,2),13502(a,1))]. 13521 K(x,T(y * (T(z,u) * w),w)) = K(x,(w * T(z,u)) * T(y,z)). [hyper(199,a,13372,a(flip),b,13351,a)]. 13522 K(x,T(y * (T(z,y) * u),u)) = K(x,(u * z) * y). [para(6227(a,1),13521(a,2,2))]. 13523 T(x,y * (T(z,z \ u) / w)) = T(x,y * (((z \ u) \ u) / w)). [hyper(13359,a,13360,a)]. 13524 T(x,K(y,z \ 1) * (u * z)) = T(x,u / T(z \ 1,y)). [hyper(13216,a,12388,a)]. 13525 T(x,y / T(z \ 1,u)) = T(x,K(u,z) * (y * z)). [hyper(13028,a,13524,a),flip(a)]. 13526 T(x,y / T(z \ 1,u)) = T(x,y * T(z,u)). [hyper(199,a,13192,a(flip),b,13525,a)]. 13527 T(x,y / T(1 / z,u)) = T(x,y * T(z,u)). [hyper(12644,a,13526,a)]. 13528 T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). [para(60(a,1),13527(a,1,2,2,1)),flip(a)]. 13529 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4764(a,1),13520(a,1,2,2,2,2))]. 13531 x \ T(y * T(x,K(z,u * w)),K(z,u * w)) = T(y,K(z,w \ u) * x). [para(13229(a,1),13232(a,1,2,1,2))]. 13532 T(x,y * ((z / u) \ K(u,u \ 1))) = T(x,y / (z / ((u \ 1) \ 1))). [para(170(a,1),13311(a,1,2,2,1))]. 13533 T(x,y / (z / ((u \ 1) \ 1))) = T(x,y * ((z / u) \ K(u,1))). [hyper(199,a,11682,a(flip),b,13532,a(flip))]. 13534 T(x,y / (z / ((u \ 1) \ 1))) = T(x,y * ((z / u) \ 1)). [para(130(a,1),13533(a,2,2,2,2))]. 13536 T(x,y / (z / ((u \ 1) \ 1))) != w | T(x,y / (z / u)) = w. [para(13534(a,2),12383(a,1))]. 13537 L(K(x \ T(y,x * z),(x \ T(y,x * z)) \ z),z,u) = K(y / x,y \ (x * z)). [hyper(9735,a,13338,a)]. 13538 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(6246,a,13357,a),flip(a)]. 13539 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(199,a,13480,a(flip),b,13476,a)]. 13541 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(199,a,8134,a(flip),b,13539,a)]. 13542 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(13454,a,13541,a)]. 13544 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(13240,a,13494,a),flip(a)]. 13545 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(6218(a,1),13544(a,1,2,2,1))]. 13546 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(7974,a,13545,a)]. 13547 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(199,a,8017,a(flip),b,13546,a)]. 13548 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(107(a,1),13546(a,1,2,2,2,2)),flip(a)]. 13549 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(13546(a,1),4821(a,1,1)),flip(a)]. 13550 T(x,K(y,z \ u) * w) = T(x,K(y,u * z) * w). [hyper(13017,a,13531,a),flip(a)]. 13551 x / T(x,K(y,z * u) * w) = K(x,K(y,z / u) * w). [para(13550(a,1),13340(a,1,2))]. 13552 K(x,K(y,z / u) * w) = K(x,K(y,z * u) * w). [hyper(4765,a,13551,a),flip(a)]. 13553 K(x,K(y,z \ u) * w) = K(x,K(y,u * z) * w). [hyper(13305,a,13552,a)]. 13554 K(x,K(y,z \ u) * w) = K(x,K(y,z * u) * w). [hyper(199,a,13339,a(flip),b,13552,a(flip)),flip(a)]. 13555 K(x,K(y,z * u) * (w * y)) = K(x,w * T(y,z \ u)). [hyper(13182,a,13554,a),flip(a)]. 13556 K(x,K(y,z * u) * (w \ y)) = K(x,w \ T(y,z \ u)). [hyper(199,a,13203,a(flip),b,13554,a(flip))]. 13557 x * (K(y,K(z,u * w) * v5) * (x \ y)) = T(y,T(K(z,u \ w) * v5,x)). [para(13554(a,1),12485(a,1,2,1))]. 13558 K(x,y * T(z,u \ w)) = K(x,y * T(z,u * w)). [hyper(13182,a,13555,a),flip(a)]. 13559 K(x,y * T(z,u \ w)) != v5 | K(x,y * T(z,u * w)) = v5. [para(13555(a,1),13182(a,1))]. 13560 K(x,(y \ z) * T(u,y * z)) = K(x,u * (y \ z)). [hyper(13207,a,13558,a),flip(a)]. 13562 K(x,y \ T(z,u \ w)) = K(x,y \ T(z,u * w)). [hyper(199,a,13203,a(flip),b,13556,a(flip))]. 13563 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(7084(a,2),13538(a,1,2))]. 13564 T(x,T(K(y,z \ u) * w,v5)) = T(x,T(K(y,z * u) * w,v5)). [hyper(12490,a,13557,a),flip(a)]. 13565 T(x,T(K(y,z * 1) * (z \ u),w)) = T(x,T(T(1 / z,y) * u,w)). [hyper(199,a,12656,a(flip),b,13564,a(flip))]. 13566 T(x,T(T(1 / y,z) * u,w)) = T(x,T(K(z,y) * (y \ u),w)). [para(12(a,1),13565(a,1,2,1,1,2)),flip(a)]. 13567 T(x,T(T(1 / y,z) * u,w)) = T(x,T(T(y,z) \ u,w)). [para(4961(a,1),13566(a,2,2,1))]. 13568 T(x,T(((y * (z / y)) \ y) \ u,w)) = T(x,T(T(z \ y,y) \ u,w)). [hyper(199,a,12512,a,b,13567,a(flip)),flip(a)]. 13569 T(x,T(((y * (z / y)) \ y) \ u,w)) != v5 | T(x,T((y / z) \ u,w)) = v5. [para(13568(a,2),12655(a,1))]. 13570 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7198,a,13563,a),flip(a)]. 13571 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(199,a,10323,a,b,13570,a(flip)),flip(a)]. 13572 x * a(y,K(z,u),K(w,v5)) != (y * K(z,u)) * K(w,v5) | y * (K(w,v5) * K(z,u)) = x. [para(13200(a,1),20(a,1)),flip(a)]. 13573 K(L(x,K(y,z),u),w) * ((K(y,z) * x) * u) = (K(y,z) * T(x,w)) * u. [para(10437(a,1),13210(a,1,1))]. 13574 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7123(a,1),13342(a,1,2))]. 13575 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(13574(a,1),13347(a,1))]. 13576 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(199,a,13445,a(flip),b,13118,a)]. 13577 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(13123,a,13576,a)]. 13579 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(199,a,12887,a(flip),b,13577,a(flip))]. 13580 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(5289,a,13579,a)]. 13581 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(199,a,13189,a(flip),b,13580,a(flip))]. 13582 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(63(a,1),13581(a,1,2,2,1,2))]. 13583 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(199,a,11014,a(flip),b,13582,a(flip))]. 13584 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(199,a,13459,a(flip),b,13583,a(flip))]. 13585 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7739,a,13584,a)]. 13586 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(199,a,7732,a,b,13585,a)]. 13587 L(K(x \ T(y,x * z),(x \ T(y,x * z)) \ z),z,u) = K(x \ y,(x * z) / y). [hyper(199,a,7238,a(flip),b,13537,a)]. 13588 L(K(x \ T(y,x * z),T(y,x * z) \ (x * z)),z,u) = K(x \ y,(x * z) / y). [para(9736(a,1),13587(a,1,1))]. 13589 L(K(x \ T(y,x * z),(x * z) / y),z,u) = K(x \ y,(x * z) / y). [para(11521(a,1),13588(a,1,1))]. 13590 L(K((x * y) / z,x \ T(z,x * y)),y,u) = K(x \ z,(x * y) / z). [hyper(10477,a,13589,a)]. 13591 L(K((x * y) / z,x \ z),y,u) = K(x \ z,(x * y) / z). [para(13334(a,1),13590(a,1,1))]. 13592 L(K(x \ y,(x * z) / y),z,u) = K(x \ y,(x * z) / y). [hyper(10477,a,13591,a)]. 13593 L(K(x \ y,y \ (z * x)),z,u) = K(x \ y,(x * z) / y). [para(9894(a,1),13592(a,1,1))]. 13594 L(K(x \ y,y \ (z * x)),z,u) = K(x \ y,y \ (z * x)). [hyper(199,a,9894,a(flip),b,13593,a)]. 13595 K(x \ y,(x * z) / y) != u | K(x \ y,y \ (z * x)) = u. [para(13593(a,1),3860(a,1)),flip(b)]. 13596 K(x / y,(x / y) \ z) != u | K(y \ x,x \ (z * y)) = u. [para(9871(a,2),13595(a,1))]. 13597 K(x \ y,((y / x) \ (y \ z)) * y) != u | K(x \ y,y \ (z * x)) = u. [para(9958(a,2),13596(a,1))]. 13598 K(x \ y,y \ (z * x)) = K(x \ y,(y \ z) * x). [hyper(13597,a,11317,a)]. 13599 x * K(y \ z,(z \ x) * y) = (z / y) * (x / (z / y)). [para(13598(a,1),9919(a,1,2))]. 13600 L(K(x \ y,(y \ z) * x),z,u) = K(x \ y,y \ (z * x)). [para(13598(a,1),13594(a,1,1))]. 13601 L(K(x \ y,(y \ z) * x),z,u) = K(x \ y,(y \ z) * x). [hyper(199,a,13598,a(flip),b,13600,a)]. 13603 K(x \ y,((x \ 1) \ z) / y) = K(x \ y,(y \ z) * x). [hyper(199,a,12661,a(flip),b,13601,a(flip)),flip(a)]. 13605 K(x / y,(x * (y \ 1)) \ z) = K(y \ x,(x \ z) * y). [hyper(199,a,12659,a,b,13603,a(flip)),flip(a)]. 13606 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6095(a,1),13086(a,1,2,2))]. 13607 x \ T(y * T(x,K(z,u * w)),K(z \ 1,u \ w)) = T(y,K(1 / z,u \ w) * x). [para(3082(a,1),13235(a,1,2,2))]. 13608 T(T(x,K(y,z * u)),(z \ ((u \ w) \ w)) * y) = T(x,y * (z \ ((u \ w) \ w))). [para(13461(a,1),13312(a,1,1))]. 13609 T(T(x,K(y,z * u)),(z \ T(u,w)) * y) = T(x,y * (z \ ((u \ w) \ w))). [hyper(11737,a,13608,a)]. 13611 T(x,y * (z \ ((u \ w) \ w))) = T(x,y * (z \ T(u,w))). [hyper(199,a,13463,a(flip),b,13609,a(flip))]. 13612 T(x,y * (T(z,T(u,w)) \ T(u,w))) = T(x,y * (T(u,u \ w) / z)). [hyper(199,a,11779,a(flip),b,13611,a(flip))]. 13613 T(x,y * (T(z,z \ u) / w)) = T(x,y * (T(z,u) / w)). [hyper(199,a,11553,a(flip),b,13612,a(flip))]. 13614 T(x,y * (((z \ u) \ u) / w)) = T(x,y * (T(z,u) / w)). [hyper(199,a,13523,a(flip),b,13613,a(flip)),flip(a)]. 13615 T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u * (T(y,1) / z)). [hyper(199,a,13510,a,b,13614,a(flip)),flip(a)]. 13616 T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u * (y / z)). [para(128(a,1),13615(a,2,2,2,1))]. 13617 K(x,y * (T(z,u \ 1) \ ((w * u) \ w))) = K(x,y * (T((w * u) \ w,K(v5,v6)) / z)). [hyper(13326,a,13332,a)]. 13618 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(6982(a,1),13571(a,1,2,1))]. 13619 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6433(a,1),13606(a,1,2)),flip(a)]. 13620 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(199,a,13,a(flip),b,13619,a)]. 13621 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5455,a,13620,a),flip(a)]. 13623 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(13620(a,1),5455(a,1))]. 13624 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(12643(a,1),13621(a,1,1,1,2,1,2))]. 13625 x \ T(y * T(x,K(z,u * w)),K(z,u * w)) = T(y,K(1 / z,u \ w) * x). [para(13233(a,1),13607(a,1,2))]. 13626 T(x,K(1 / y,z \ u) * w) = T(x,K(y,z * u) * w). [hyper(13017,a,13625,a),flip(a)]. 13627 T(x,K(y \ 1,z \ u) * w) = T(x,K(y,z * u) * w). [para(3082(a,1),13626(a,1,2,1))]. 13628 T(x,y * K(z \ 1,u \ w)) = T(x,K(z,u * w) * y). [hyper(13140,a,13627,a)]. 13629 T(x,T(1 / y,z \ u) * w) = T(x,K(y,z * u) * (y \ w)). [hyper(199,a,13350,a(flip),b,13628,a(flip)),flip(a)]. 13630 T(x,T(1 / y,z \ u) * w) = T(x,T(y,z * u) \ w). [hyper(199,a,13016,a(flip),b,13629,a)]. 13631 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(13238(a,1),13618(a,1,2,1))]. 13632 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5030,a,13631,a),flip(a)]. 13633 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(199,a,13083,a(flip),b,13632,a(flip)),flip(a)]. 13634 T(x,T((y / ((z \ 1) \ 1)) \ u,z \ y)) = T(x,u / T(T(z,z \ 1) \ y,z)). [para(4286(a,1),13212(a,1,2))]. 13635 T(x,T((y / ((z \ 1) \ 1)) \ u,z * y)) = T(x,u / T(T(z,z \ 1) \ y,z)). [hyper(13299,a,13634,a)]. 13636 T(x,T((y / ((z \ 1) \ 1)) \ u,z * y)) = T(x,u / (y / ((z \ 1) \ 1))). [para(2909(a,1),13635(a,2,2,2))]. 13637 T(x,T((y / ((z \ 1) \ 1)) \ u,z * y)) != w | T(x,u / (y / z)) = w. [para(13636(a,2),13536(a,1))]. 13638 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(38(a,1),13378(a,1,2,1,2))]. 13639 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(199,a,12514,a,b,13492,a)]. 13640 K(x,K(y,(((z * u) * w) * v5) / (v5 * (z * w)))) = K(x,K(R(u,z,w),L(y,z * w,v5))). [hyper(13204,a,13497,a),flip(a)]. 13642 K(x,K(y,(((z * u) * w) * v5) / (v5 * (z * w)))) = K(x,K(L(u,z,w),L(y,z * w,v5))). [para(12897(a,1),13640(a,2,2))]. 13643 K(x,K(y,(((z * u) * w) * v5) / (v5 * (z * w)))) = K(x,K(u,L(L(y,z * w,v5),z,w))). [hyper(199,a,8125,a(flip),b,13642,a)]. 13644 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(199,a,13542,a(flip),b,13643,a)]. 13645 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(4738(a,1),13638(a,1,2,2))]. 13646 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(13101(a,1),13639(a,2,3))]. 13647 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(13306(a,1),13645(a,1,2))]. 13648 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(199,a,9358,a(flip),b,13647,a(flip)),flip(a)]. 13649 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(13465(a,2),13648(a,1,2))]. 13650 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(9952(a,1),13649(a,1,2,1))]. 13651 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(12342(a,1),13650(a,1,2))]. 13652 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5008(a,1),13651(a,1,2))]. 13653 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(7984,a,13652,a)]. 13654 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(199,a,13633,a(flip),b,13653,a(flip)),flip(a)]. 13655 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5037,a,13654,a),flip(a)]. 13656 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(13655(a,2),12620(a,2,2)),flip(a)]. 13657 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(199,a,12427,a(flip),b,13656,a(flip)),flip(a)]. 13658 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(199,a,13441,a(flip),b,13646,a(flip)),flip(a)]. 13661 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(13(a,1),13514(a,1,2,2,1,1)),flip(a)]. 13662 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(13219,a,13661,a)]. 13664 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(44(a,1),13662(a,1,2,2,2))]. 13665 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(13520,a,13644,a)]. 13666 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(199,a,13491,a(flip),b,13665,a(flip)),flip(a)]. 13667 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(199,a,13482,a(flip),b,13666,a(flip))]. 13668 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(10482,a,13667,a)]. 13670 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(12523(a,1),13667(a,1,2,2,2))]. 13671 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(199,a,12515,a,b,13668,a)]. 13672 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(12516,a,13671,a)]. 13673 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4668(a,1),13672(a,1,2))]. 13674 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4680(a,1),13672(a,1,2))]. 13675 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(199,a,11018,a(flip),b,13673,a(flip))]. 13676 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7716(a,2),13675(a,2,3))]. 13677 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11014(a,1),13676(a,2,3))]. 13678 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),13677(a,1,3,2,2))]. 13679 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7716(a,1),13678(a,1,3))]. 13680 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),13679(a,2,3,2,2))]. 13681 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7716(a,1),13680(a,2,3))]. 13682 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(63(a,1),13681(a,1,2,2))]. 13683 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7716(a,2),13682(a,1,3))]. 13684 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7716(a,2),13683(a,2,3))]. 13685 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(12584,a,13684,a)]. 13686 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(4738(a,1),13685(a,2,3,2))]. 13687 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(8130(a,1),13513(a,1,1))]. 13688 L(K(x,T((y * z) / u,z \ u)),u,1 / z) = K(x,(u * (1 / z)) \ T((z * y) * (1 / z),z)). [para(12457(a,1),13320(a,1,1,2))]. 13689 L(K(x,T((y * z) / u,z * u)),u,1 / z) = K(x,(u * (1 / z)) \ T((z * y) * (1 / z),z)). [para(13051(a,1),13688(a,1,1))]. 13690 L(K(x,T(y,z) \ (z * u)),y,1 / z) = K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)). [para(13317(a,1),13689(a,1,1))]. 13691 L(K(x,T(y,z) \ (z * u)),y,z \ 1) = K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)). [hyper(3511,a,13690,a)]. 13692 L(K(x,T(y,z) \ (z * u)),y,z) = K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)). [hyper(12591,a,13691,a)]. 13693 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(12745(a,1),13624(a,1,1,1))]. 13694 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(13623,a,13693,a),flip(a)]. 13695 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(199,a,13408,a,b,13694,a)]. 13696 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(199,a,13548,a,b,13695,a(flip)),flip(a)]. 13697 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(13213,a,13696,a),flip(a)]. 13698 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(13697(a,1),13549(a,2,1))]. 13699 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(199,a,4821,a(flip),b,13698,a)]. 13700 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(13699(a,1),2638(a,1,1))]. 13701 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(199,a,2638,a(flip),b,13700,a(flip))]. 13702 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(13701(a,1),12839(a,1,1,1)),flip(a)]. 13703 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(199,a,12839,a(flip),b,13702,a)]. 13704 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(199,a,7141,a(flip),b,13703,a)]. 13705 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7382,a,13704,a)]. 13706 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(199,a,13546,a(flip),b,13705,a(flip)),flip(a)]. 13707 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(199,a,13547,a(flip),b,13706,a(flip))]. 13708 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(199,a,8017,a(flip),b,13707,a(flip)),flip(a)]. 13710 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(104(a,1),13708(a,1,2,2,1,1)),flip(a)]. 13711 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(199,a,13408,a(flip),b,13710,a(flip)),flip(a)]. 13712 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(199,a,7713,a,b,13711,a),flip(a)]. 13713 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,13424,a,b,13712,a),flip(a)]. 13714 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(7902,a,13713,a)]. 13715 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(199,a,13459,a(flip),b,13713,a(flip))]. 13716 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(199,a,13442,a(flip),b,13713,a(flip))]. 13717 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(13713(a,1),13469(a,1,1))]. 13718 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(13205,a,13716,a)]. 13719 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),13718(a,1,2,2,2,2)),flip(a)]. 13720 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8229,a,13717,a),flip(a)]. 13721 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(199,a,13496,a(flip),b,13720,a(flip))]. 13722 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(63(a,1),13720(a,1,2,1,2)),flip(a)]. 13723 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(13206,a,13722,a)]. 13724 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),13721(a,2,2,2,2))]. 13725 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(199,a,13487,a,b,13724,a)]. 13726 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(199,a,13723,a(flip),b,13725,a(flip)),flip(a)]. 13727 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(12366(a,1),13725(a,1,2))]. 13728 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(199,a,13727,a(flip),b,13726,a(flip))]. 13729 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3683(a,2),13726(a,2,2,2,1))]. 13730 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(12367(a,1),13729(a,1,2))]. 13731 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(199,a,13725,a(flip),b,13730,a(flip))]. 13732 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(199,a,13714,a(flip),b,13731,a(flip)),flip(a)]. 13733 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(13499,a,13732,a)]. 13734 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(199,a,13517,a,b,13733,a(flip)),flip(a)]. 13735 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(199,a,13515,a(flip),b,13733,a(flip))]. 13736 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(13518,a,13734,a)]. 13737 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(13493,a,13735,a)]. 13738 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(199,a,13728,a,b,13735,a(flip)),flip(a)]. 13739 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(199,a,13190,a(flip),b,13735,a(flip))]. 13740 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(199,a,12955,a,b,13737,a(flip)),flip(a)]. 13741 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(11580(a,1),13737(a,1,2))]. 13742 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(12710(a,1),13737(a,1,2,2,2,1)),flip(a)]. 13743 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(13493,a,13738,a)]. 13744 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(199,a,12687,a(flip),b,13740,a(flip)),flip(a)]. 13745 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(13309(a,1),13741(a,1,2)),flip(a)]. 13746 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(199,a,13743,a(flip),b,13742,a)]. 13748 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(199,a,13736,a(flip),b,13746,a(flip)),flip(a)]. 13750 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(199,a,13487,a,b,13748,a(flip)),flip(a)]. 13751 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(199,a,13503,a(flip),b,13748,a(flip)),flip(a)]. 13752 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(7902,a,13751,a)]. 13753 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(105(a,1),13751(a,1,2,2,2)),flip(a)]. 13754 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(199,a,13658,a(flip),b,13752,a(flip))]. 13755 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(13187,a,13754,a)]. 13756 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(199,a,12582,a,b,13754,a)]. 13757 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(13754(a,1),7739(a,1))]. 13758 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),13755(a,1,2,2,2,2))]. 13759 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(13499,a,13753,a),flip(a)]. 13760 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(13529,a,13759,a)]. 13761 K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(13760(a,1),13575(a,1))]. 13762 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),13756(a,2,2))]. 13763 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(199,a,7863,a(flip),b,13745,a)]. 13764 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(199,a,13718,a(flip),b,13763,a(flip))]. 13766 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(199,a,13714,a(flip),b,13764,a)]. 13767 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(13504,a,13766,a)]. 13768 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(176(a,1),13766(a,1,2,2,2))]. 13769 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(199,a,13448,a(flip),b,13768,a)]. 13771 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(199,a,13664,a(flip),b,13769,a(flip))]. 13773 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(101(a,1),13771(a,1,2,2)),flip(a)]. 13774 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(13508,a,13773,a)]. 13775 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(13498,a,13774,a),flip(a)]. 13776 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(13243,a,13774,a)]. 13777 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(13498,a,13775,a),flip(a)]. 13778 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(13506,a,13777,a),flip(a)]. 13779 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(13504,a,13777,a)]. 13780 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(199,a,13739,a(flip),b,13777,a(flip))]. 13781 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(199,a,13767,a(flip),b,13780,a(flip)),flip(a)]. 13782 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(199,a,13484,a(flip),b,13778,a)]. 13783 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(199,a,11008,a(flip),b,13776,a)]. 13784 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(199,a,13750,a(flip),b,13783,a)]. 13785 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(7902,a,13784,a)]. 13786 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(12252(a,1),13785(a,1,2)),flip(a)]. 13787 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(5960(a,1),13782(a,1,2,2,2))]. 13788 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(13500,a,13787,a)]. 13789 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(199,a,13788,a(flip),b,13781,a(flip)),flip(a)]. 13790 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(13761,a,13789,a),flip(a)]. 13791 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(199,a,12568,a(flip),b,13790,a(flip)),flip(a)]. 13792 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(199,a,13670,a,b,13791,a(flip)),flip(a)]. 13793 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(13792(a,1),13687(a,1,1)),flip(a)]. 13794 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(199,a,12288,a,b,13786,a)]. 13795 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)). [hyper(199,a,4745,a,b,13793,a)]. 13797 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(199,a,10616,a(flip),b,13795,a)]. 13798 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(8999(a,1),13797(a,2,1))]. 13799 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(199,a,12629,a(flip),b,13798,a)]. 13800 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(13512(a,1),13799(a,1,2))]. 13801 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(4738(a,1),13800(a,1,3))]. 13802 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(10508,a,13801,a)]. 13803 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(133(a,1),13802(a,1,2,1))]. 13804 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(199,a,13794,a,b,13803,a(flip)),flip(a)]. 13805 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(199,a,13686,a(flip),b,13803,a(flip)),flip(a)]. 13806 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(199,a,12470,a,b,13805,a)]. 13807 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7716(a,1),13804(a,2,3))]. 13808 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(5407(a,1),13807(a,1,2,2,2,1))]. 13809 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(6653(a,1),13808(a,1,2))]. 13810 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(12377(a,1),13809(a,1,2))]. 13811 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(6291(a,1),13810(a,1,2,2,1))]. 13812 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(199,a,13779,a(flip),b,13811,a(flip)),flip(a)]. 13813 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(13473,a,13812,a)]. 13814 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(6263(a,1),13813(a,2,3,2))]. 13815 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(13435(a,1),13814(a,2,3))]. 13816 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(199,a,13758,a(flip),b,13815,a(flip)),flip(a)]. 13818 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(60(a,1),13816(a,1,3,2,1))]. 13819 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(13719(a,1),13818(a,1,3))]. 13820 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7732(a,1),13819(a,1,3))]. 13821 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(13586(a,1),13820(a,1,3))]. 13822 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(12559,a,13821,a),flip(a)]. 13823 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(4738(a,1),13822(a,1,3,2))]. 13824 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(199,a,13674,a,b,13823,a(flip)),flip(a)]. 13825 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(199,a,13806,a(flip),b,13824,a(flip))]. 13826 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7732(a,1),13825(a,2,3))]. 13827 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(13757,a,13826,a)]. 13828 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7716(a,2),13827(a,2,3))]. 13829 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(199,a,13762,a(flip),b,13828,a(flip)),flip(a)]. 13830 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(7865(a,1),13829(a,1,3))]. 13831 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(4738(a,1),13830(a,2,3,2))]. 13832 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(199,a,13826,a(flip),b,13831,a(flip))]. 13833 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(13832(a,1),12475(a,1,1))]. 13834 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7732(a,1),13833(a,1,2))]. 13835 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(12680,a,13834,a),flip(a)]. 13836 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8230,a,13835,a)]. 13837 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(199,a,13744,a(flip),b,13836,a)]. 13838 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(651(a,1),13836(a,1,2,2)),flip(a)]. 13839 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6474(a,1),13836(a,1,2)),flip(a)]. 13840 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(199,a,13724,a(flip),b,13837,a(flip)),flip(a)]. 13841 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(13839(a,2),7868(a,1))]. 13842 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(199,a,13100,a,b,13838,a)]. 13843 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(199,a,13840,a(flip),b,13842,a)]. 13844 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(199,a,13715,a(flip),b,13843,a)]. 13847 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(7299(a,1),13844(a,2,2))]. 13848 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(199,a,13094,a(flip),b,13847,a)]. 13851 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(199,a,12687,a(flip),b,13848,a(flip)),flip(a)]. 13852 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(13841,a,13851,a),flip(a)]. 13855 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6393(a,1),13852(a,1,2)),flip(a)]. 13857 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(199,a,7863,a(flip),b,13855,a)]. 13863 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(10476,a,13857,a)]. 13869 T(K(x,y),L(z,u,w)) = K(x,y) * K(x,K(y,z)). [para(13857(a,1),7711(a,1,2)),flip(a)]. 13871 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(13857(a,1),8122(a,1,2))]. 13874 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(13857(a,1),13127(a,1,1))]. 13876 a(x,y,K(z,K(u,w))) = 1. [hyper(67,a,13863,a,b,8998,a),flip(a)]. 13878 K(x,K(y,z * (u \ y))) = K(x,K(y,u \ z)). [hyper(199,a,13122,a(flip),b,13863,a(flip)),flip(a)]. 13879 a(K(x,y),z,K(u,w)) = 1. [hyper(67,a,13863,a(flip),b,12477,a),flip(a)]. 13880 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(13863(a,1),12903(a,1,1)),flip(a)]. 13883 K(x,K(y,a(z,u,w))) = 1. [hyper(199,a,12514,a(flip),b,13876,a(flip)),flip(a)]. 13884 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(33,a,13879,a)]. 13895 T(x,K(y,a(z,u,w))) = x. [hyper(37,a,13883,a)]. 13896 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(8414,a,13895,a)]. 13897 T(x,K(a(y,z,u),w)) = x. [hyper(7888,a,13895,a)]. 13898 T(x,T(y,a(z,u,w))) = T(x,y). [hyper(6897,a,13895,a)]. 13902 T(x,a(y,z,K(u,w))) = x. [para(12050(a,2),13895(a,1,2))]. 13903 x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). [para(13895(a,1),13008(a,1,2,1,2))]. 13906 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(2178,a,13902,a),flip(a)]. 13908 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(13902(a,1),215(a,1,2))]. 13910 L(K(x,y),z,K(u,w)) = K(y,x). [hyper(10477,a,13884,a)]. 13911 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(10461,a,13884,a)]. 13912 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(10456,a,13884,a)]. 13913 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(199,a,6373,a(flip),b,13884,a(flip))]. 13916 (K(x,y) * z) * L(K(u,w),v5,v6) = K(x,y) * (z * L(K(u,w),v5,v6)). [para(13884(a,1),398(a,1,2,1))]. 13918 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(13884(a,1),12905(a,1,1,1)),flip(a)]. 13922 K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). [para(13896(a,1),7105(a,1,2)),flip(a)]. 13923 x * (a(y,z,u) * K(x,w)) = T(x,w) * a(y,z,u). [para(13898(a,1),7265(a,1,1)),flip(a)]. 13925 L(K(x,y),z,K(u,w)) != v5 | K(x,y) = v5. [para(13910(a,2),4862(a,1))]. 13926 L(x,y,K(z,u)) != w | L(x,y,K(u,z)) = w. [para(13910(a,1),11401(a,1,3))]. 13927 K(x,T(K(y,z) * u,w)) = K(x,T(K(z,y) * u,w)). [para(13910(a,1),11632(a,1,2,1,1))]. 13928 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(13414,a,13911,a)]. 13931 K(x,L(y,z,L(K(u,w),v5,v6))) = K(x,y). [para(5573(a,1),13912(a,1,2,3))]. 13932 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(5022(a,1),13912(a,1,2))]. 13933 L(K(x,y),z,L(K(u,w),v5,v6)) != v7 | K(x,y) = v7. [para(5573(a,1),13925(a,1,3))]. 13934 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [para(409(a,1),13931(a,1,2)),flip(a)]. 13935 T(x,L(y,z,L(K(u,w),v5,v6))) = x * K(x,y). [para(13931(a,1),4652(a,2,2))]. 13937 K(x,K(y,(z \ y) * u)) = K(x,K(y,z \ u)). [hyper(13205,a,13878,a)]. 13940 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(199,a,12292,a,b,13906,a)]. 13941 x * (a(y,z,K(u,w)) * v5) = x * (v5 * a(y,z,K(u,w))). [hyper(21,a,13906,a)]. 13943 a(x,y,K(z,u)) * w = w * a(z,y,K(x,u)). [para(12274(a,1),13906(a,1,1))]. 13944 K(x,a(y,z,u)) * w = w * a(x,z,K(y,u)). [para(12276(a,1),13906(a,1,1))]. 13945 L(K(x,(y / z) / a(u,w,K(v5,v6))),a(u,w,K(v5,v6)),z) = K(x,y / (z * a(u,w,K(v5,v6)))). [para(13906(a,1),12891(a,2,2,2))]. 13948 T(x,L(y,z,L(K(u,w),v5,v6))) = T(x,y). [hyper(199,a,4652,a,b,13935,a)]. 13949 T(x,L(y,z,K(u,w))) = T(x,y). [para(281(a,1),13948(a,1,2,3))]. 13951 T(x,L(y,z,K(u,w)) \ T(v5,y)) = T(x,v5 / L(y,z,K(u,w))). [para(13949(a,1),11510(a,1,2,2))]. 13952 K(x,K(y,(y / z) * u)) = K(x,K(y,z \ u)). [para(8651(a,2),13937(a,1,2))]. 13954 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [hyper(9381,a,13940,a)]. 13955 x / a(y,z,K(u,w)) = a(u,z,K(y,w)) * x. [hyper(199,a,10983,a,b,13940,a),flip(a)]. 13956 T(T(x,y),L(y,z,u)) = x * a(y,z,K(u,x)). [hyper(199,a,12603,a,b,13940,a(flip)),flip(a)]. 13957 x * (y * a(x,z,K(u,w))) = T(x,a(w,z,u)) * y. [para(13940(a,1),12053(a,1,2))]. 13958 K(x,T(a(y,z,u),w)) = a(x,z,K(y,u)). [hyper(7669,a,13944,a)]. 13959 a(T(x,y),z,K(u,w)) = K(x,a(u,z,w)). [hyper(7318,a,13944,a),flip(a)]. 13961 a(x,y,K(z,u)) * (w * x) = w * T(x,a(z,y,u)). [para(13958(a,1),7155(a,1,1))]. 13962 a(T(x,y),z,K(u,w)) = a(w,z,K(u,x)). [hyper(199,a,12294,a,b,13959,a)]. 13963 a(x,y,K(z,T(u,w))) = a(z,y,K(x,u)). [hyper(12305,a,13962,a)]. 13964 a(x / y,z,K(u,w)) = a(w,z,K(u,y \ x)). [hyper(199,a,11374,a(flip),b,13962,a(flip)),flip(a)]. 13965 L(K(x,y),z,T(u,w)) = K(x,y) * a(y,z,K(x,u)). [para(13962(a,1),8997(a,1,2)),flip(a)]. 13966 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [para(4738(a,1),13963(a,2,3))]. 13967 a(x,y,K(z,u * w)) = a(z,y,K(x,w * u)). [para(9931(a,1),13963(a,1,3))]. 13968 ((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(13966(a,1),12965(a,1,2))]. 13969 K(x,K(y,z \ u)) * K(x,L(z \ u,z,z \ y)) = K(x,((y / z) * u) / y). [para(13952(a,1),10012(a,1,1))]. 13970 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [hyper(12413,a,13964,a)]. 13971 K(x,y) * a(x,z,K(y,u \ w)) = L(K(x,y),z,w / u). [para(13964(a,1),8988(a,1,2))]. 13972 a(x * y,z,K(u,w)) = a(u,z,K(w,y * x)). [hyper(12413,a,13967,a)]. 13973 a(x,y,K(z,u \ (w \ u))) = a(x,y,K(z,w \ 1)). [para(5240(a,1),13970(a,1,3)),flip(a)]. 13974 T(K(x,y),L(z,u,w)) = T(K(x,y),z). [hyper(199,a,7711,a(flip),b,13869,a)]. 13975 K(x,T(y,L(z,u,w))) = T(K(x,y),z). [hyper(7132,a,13974,a)]. 13976 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [hyper(199,a,7084,a,b,13975,a)]. 13977 K(x,T(y * (T(z,y) * u),u)) = K(x,L(u,z,y) * (z * y)). [hyper(10009,a,13976,a),flip(a)]. 13981 L(K(x,K(y,z)) \ ((u * w) \ v5),K(x,K(y,z)),u * w) = (u * (w * K(x,K(y,z)))) \ v5. [para(13871(a,1),198(a,2,1))]. 13983 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(499,a,13874,a)]. 13984 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) = a(x,w,v5 * K(y,K(z,u))). [para(13874(a,2),24(a,2,1,2)),flip(a)]. 13985 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(13103(a,2),13874(a,2,2))]. 13987 L(x,y,K(z,K(u,w))) = x. [hyper(4498,a,13880,a)]. 13988 (x * K(y,K(z,u))) * w = K(y,K(z,u)) * (x * w). [para(13103(a,1),13880(a,1,1))]. 13989 (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) * w). [hyper(199,a,5043,a(flip),b,13987,a(flip)),flip(a)]. 13991 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(199,a,13266,a(flip),b,13913,a(flip)),flip(a)]. 13993 K(x,T(K(y,z) * u,w * v5)) != v6 | K(x,T(K(z,y) * u,v5 * w)) = v6. [para(13927(a,1),13091(a,1))]. 13994 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (w * K(z,y))) = v5. [para(13932(a,2),13296(a,1))]. 13995 (x * y) * a(x,z,K(u,w)) = T(x,a(w,z,u)) * y. [hyper(17,a,924,a(flip),b,13957,a)]. 13996 a(x,y,K(z,u)) * (w * u) = w * T(u,a(x,y,z)). [para(12278(a,2),13961(a,1,1))]. 13997 L(K(x,y),z,T(u,w)) = L(K(x,y),z,u). [hyper(199,a,12297,a(flip),b,13965,a)]. 13998 L(K(x,y),z,T(u,w)) != v5 | L(K(x,y),z,u) = v5. [para(13965(a,2),12518(a,1))]. 13999 L(K(x,T(y / z,u)),z,T(z \ u,w)) = K(x,u \ (y * (z \ u))). [hyper(199,a,12894,a(flip),b,13997,a)]. 14000 L(K(x,T(y \ z,y * u)),y,T(u,y)) = K(x,(T(T(u,y),w) * z) / (T(T(u,y),w) * y)). [hyper(199,a,13418,a(flip),b,13997,a(flip))]. 14001 L(K(x,y),(z * (u / z)) * w,u) = L(K(x,y),w,T(u,z)). [hyper(199,a,12662,a(flip),b,13997,a(flip))]. 14002 L(K(x,y),z,u / w) != v5 | L(K(x,y),z,w \ u) = v5. [para(170(a,1),13998(a,1,3))]. 14003 a(x,y,K(z,u \ (w \ u))) = a(x,y,K(z,w)). [hyper(199,a,10561,a(flip),b,13973,a)]. 14004 a(x,y,K(z,u \ K(w,v5))) = a(x,y,K(z,u * K(w,v5))). [para(6242(a,1),14003(a,1,3,2,2))]. 14005 x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). [para(13874(a,1),13983(a,1,2))]. 14008 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [hyper(199,a,13985,a(flip),b,13988,a)]. 14009 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [hyper(199,a,13983,a(flip),b,13989,a)]. 14010 K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). [hyper(199,a,13348,a,b,13991,a(flip)),flip(a)]. 14011 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (L(K(u,y),w,v5) * v6),v7). [para(9368(a,2),13991(a,2,1,2)),flip(a)]. 14012 (x * y) * a(x,z,K(u,w)) = x * (y * a(x,z,K(u,w))). [hyper(199,a,13957,a,b,13995,a)]. 14013 a(x,y,K(z,u)) * (z * w) = T(z,a(u,y,x)) * w. [hyper(199,a,13943,a,b,13995,a(flip)),flip(a)]. 14014 L(x,K(y,K(z,u)),w) = x. [hyper(391,a,14008,a)]. 14015 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). [hyper(68,a,56,a(flip),b,14008,a)]. 14017 (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). [para(13985(a,1),14009(a,1,1))]. 14018 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [para(13126(a,2),14015(a,1,1))]. 14019 K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). [para(14018(a,2),13276(a,1,2))]. 14020 K(x,(T(y,z) * (T(y,T(z,u)) \ w)) \ v5) = K(x,w \ v5). [para(9521(a,2),14019(a,1,2,1))]. 14021 a(x,y,K(z,u \ y)) * w != v5 | w * a(x,u,K(z,u \ y)) = v5. [para(10493(a,2),13908(a,1,1))]. 14022 a(x,y,K(z,u)) * w != v5 | w * a(z,y,K(x,u)) = v5. [para(12274(a,1),13908(a,1,1))]. 14023 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(13940(a,1),13908(a,1))]. 14025 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(12278(a,2),14023(a,1,2))]. 14026 T(x,a(y,z,u)) != w | x * a(y,z,K(x,u)) = w. [para(12301(a,1),14023(a,1))]. 14029 L(K(x,y),K(z,z \ u) * w,u) = L(K(x,y),w,T(u,z)). [hyper(199,a,12576,a,b,14001,a(flip)),flip(a)]. 14030 x \ ((x * y) * K(z,u)) = (y * K(z,u)) * a(x,y,K(z,u)). [hyper(498,a,14012,a)]. 14031 K(x,(K(y,z) * (K(y,T(z,u)) * w)) \ v5) = K(x,w \ v5). [para(5105(a,2),14020(a,1,2,1))]. 14032 L(K(x,y),K(z,z \ u) * w,u) != v5 | L(K(x,y),w,u) = v5. [para(14029(a,2),13998(a,1))]. 14033 K(x,(K(y,z) * T(u \ y,K(y,T(z,w)))) \ v5) = K(x,(u \ T(y,T(z,w))) \ v5). [para(12494(a,1),14031(a,1,2,1,2))]. 14034 K(x,L(y,z,u) * (z * u)) = K(x,(y * z) * u). [hyper(199,a,13522,a(flip),b,13977,a(flip))]. 14035 K(x,((y \ (z \ u)) * y) * z) = K(x,((z * y) \ u) * (y * z)). [para(198(a,1),14034(a,1,2,1)),flip(a)]. 14036 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(13897(a,1),13903(a,1,2)),flip(a)]. 14037 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(199,a,32,a,b,14036,a)]. 14039 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(12050(a,2),14037(a,1,2,1))]. 14040 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(13944(a,1),14037(a,1,2))]. 14041 K(a(x,y,K(z,u)) * w,v5) = T(v5,w) / v5. [hyper(69,a,14039,a(flip),b,4736,a(flip)),flip(a)]. 14042 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [para(8986(a,1),14039(a,1,2)),flip(a)]. 14043 T(x,L(K(y,z),u,w) * v5) = T(x,K(y,z) * v5). [para(9003(a,1),14039(a,1,2)),flip(a)]. 14045 K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). [para(14040(a,1),11758(a,1,1,1,1))]. 14046 T(x,K(y,z)) * L(K(y,z),u,w) = L(K(y,z),u,w) * x. [para(14042(a,1),166(a,1,1))]. 14047 (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). [para(14042(a,1),8951(a,1,1,1))]. 14048 K(a(x,y,K(z,u)) * w,v5) = K(v5,w). [hyper(199,a,4644,a,b,14041,a)]. 14049 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [hyper(4862,a,14048,a)]. 14050 K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). [para(12695(a,1),14049(a,1,2))]. 14051 K(x,y * a(z,u,K(w,v5))) = K(x,y). [para(13906(a,1),14049(a,1,2))]. 14052 K(x,y / a(z,u,K(w,v5))) = K(x,y). [para(13955(a,2),14049(a,1,2))]. 14053 K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. [para(14051(a,1),6232(a,1,1,2)),flip(a)]. 14054 K(x,y * L(K(z,u),w,v5)) = K(x,y * K(z,u)). [para(8995(a,1),14051(a,1,2))]. 14055 T(x,K(y,z)) / ((z * a(u,w,K(v5,v6))) * T((z * a(u,w,K(v5,v6))) \ x,y)) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(14051(a,1),9256(a,1,1,2))]. 14056 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [para(6381(a,1),14043(a,1,2,1))]. 14057 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(199,a,6232,a(flip),b,14053,a)]. 14058 K(x,y * L(K(z,u),w,v5)) = K(x,K(z,u) * y). [hyper(199,a,13177,a,b,14054,a)]. 14059 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(13140,a,14056,a)]. 14060 K(x,y * L(K(z,u),w,v5)) = x / T(x,K(z,u) * y). [hyper(199,a,4744,a(flip),b,14058,a)]. 14061 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [para(92(a,1),14058(a,1,2)),flip(a)]. 14062 K(x,y * (T(z,y) * K(u,w))) = K(x,K(u,w) * (z * y)). [para(399(a,1),14058(a,1,2))]. 14063 K(x * K(L(y,z,u),w),v5) = v5 / T(v5,K(y,w) * x). [para(14059(a,1),4596(a,2,2))]. 14064 K(x,y * (z * K(u,u * a(w,v5,v6)))) = K(x,(y * z) * a(u,v5,K(w,v6))). [para(12273(a,1),14050(a,1,2,2)),flip(a)]. 14065 K(x,y * (z * K(u,w))) != v5 | K(x,K(u,w) * (y * z)) = v5. [para(14050(a,1),13181(a,1))]. 14066 K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). [hyper(199,a,13284,a,b,14061,a)]. 14067 K(x,K(y,z) * (u * (w / y))) = K(x,u * (w / T(y,z))). [para(6235(a,1),14061(a,2,2,2))]. 14068 K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z) \ w)). [para(5074(a,1),14066(a,2,2,2))]. 14069 K(x,y * L(K(z,u),w,v5)) = x / T(x,L(K(z,u),v6,v7) * y). [para(14043(a,2),14060(a,2,2))]. 14070 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [hyper(199,a,4596,a,b,14063,a)]. 14071 K(x * L(K(y,z),u,w),v5) = K(K(y,z) * x,v5). [para(6379(a,1),14070(a,1,1,2))]. 14072 L(K(x,L(K(y,z),u,w) \ (T(v5,K(y,z)) \ v6)),L(K(y,z),u,w),T(v5,K(y,z))) = K(x,(L(K(y,z),u,w) * v5) \ v6). [para(14046(a,1),10445(a,2,2,1))]. 14073 K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z \ 1) \ w)). [hyper(11648,a,14068,a)]. 14074 (x * y) \ (x * ((y * z) * K(u,K(w,v5)))) = L(z,y,x) * K(u,K(w,v5)). [para(28(a,2),14005(a,2,1))]. 14075 K(x,T(K(y,z) * u,y * z)) = K(x,((y \ (z \ u)) * y) * z). [hyper(199,a,9941,a,b,14035,a),flip(a)]. 14076 K(x,L(K(y,z),u,w) * v5) = K(x,v5 * L(K(y,z),v6,v7)). [hyper(199,a,4744,a,b,14069,a),flip(a)]. 14077 K(x,(y * z) * L(K(u,w),v5,v6)) = K(x,(K(u,w) * y) * z). [hyper(199,a,14034,a(flip),b,14076,a(flip))]. 14078 K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). [para(92(a,1),14077(a,1,2)),flip(a)]. 14079 K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). [hyper(13281,a,14078,a)]. 14080 K(x,(y / z) * (u * K(z,w))) = K(x,(y / T(z,w)) * u). [para(6235(a,1),14079(a,1,2,1)),flip(a)]. 14081 K(x,K(y,z) * ((u / y) * w)) = K(x,(u / T(y,z)) * w). [hyper(14065,a,14080,a)]. 14082 K(x,(y / T(z,u)) * T(w,y / z)) = K(x,K(z,u) * (w * (y / z))). [hyper(199,a,14062,a(flip),b,14080,a(flip))]. 14083 K(x,K(y,z * u) * ((w / y) * v5)) = K(x,(w / T(y,u \ z)) * v5). [hyper(199,a,13553,a(flip),b,14081,a(flip)),flip(a)]. 14084 K(x,y * (T(z,u \ 1) \ w)) = K(x,y * (T(z,u) \ w)). [hyper(199,a,14068,a(flip),b,14073,a(flip))]. 14085 K(x,y * (T(z,u) \ ((w * u) \ w))) = K(x,y * (T((w * u) \ w,K(v5,v6)) / z)). [hyper(199,a,13617,a(flip),b,14084,a(flip))]. 14086 K(x,T(K(y,z) * u,y * z)) = K(x,T(z \ u,y) * z). [hyper(199,a,11587,a(flip),b,14075,a)]. 14087 K(x,T(K(y,z) * u,y * z)) = K(x,z * T(u / z,y)). [hyper(199,a,11678,a(flip),b,14086,a)]. 14088 L(K(x,T(y / z,u)),z,T(z \ L(u,w,v5),v6)) = K(x,L(u,w,v5) \ (y * (z \ L(u,w,v5)))). [para(13976(a,1),13999(a,1,1))]. 14089 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(199,a,7191,a(flip),b,13928,a)]. 14090 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(14089(a,2),7168(a,1))]. 14092 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(5771(a,1),13934(a,1,2,1))]. 14093 K(x,(y / T(z,u)) * T(w,y / z)) = K(x,w * (y / T(z,u))). [hyper(199,a,14067,a(flip),b,14082,a)]. 14094 K(x,(y / T(z,u)) * T(w,z \ y)) = K(x,w * (y / T(z,u))). [hyper(199,a,13287,a(flip),b,14093,a(flip)),flip(a)]. 14095 K(x,(y / T(z,u)) * T(w,z * y)) = K(x,w * (y / T(z,u))). [hyper(13559,a,14094,a)]. 14096 K(x,K(y,z * u) * (((u \ z) / y) * w)) = K(x,(y \ (u \ z)) * w). [hyper(199,a,11696,a(flip),b,14083,a)]. 14097 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(13294,a,14092,a)]. 14098 K(x,((K(y,z) \ u) * L((K(y,z) \ u) \ u,w,v5)) \ v6) = K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)). [para(533(a,2),14092(a,1,2,1))]. 14099 K(x,((y \ z) / T(u,z * y)) * w) = K(x,(u \ (y \ z)) * w). [hyper(199,a,14081,a(flip),b,14096,a(flip)),flip(a)]. 14100 K(x,((y \ z) / T(u,z * y)) * T(w,u * (y \ z))) = K(x,w * (u \ (y \ z))). [hyper(199,a,13560,a(flip),b,14099,a)]. 14101 K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,((((z \ u) / T(y,u * z)) * w) \ w) \ w). [para(3880(a,1),14099(a,1,2)),flip(a)]. 14102 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(14097(a,1),6232(a,1,1,2))]. 14103 K(x,T(K(y,z) * u,y * z)) = K(x,y * T(u / y,z)). [hyper(13993,a,14087,a)]. 14104 K(x,y * T((T(y,z) * u) / y,z)) = K(x,T(y * u,y * z)). [para(4976(a,1),14103(a,1,2,1)),flip(a)]. 14105 K(x,y * T(T(K(y,z) * u,y),z)) = K(x,T(y * u,y * z)). [para(4903(a,1),14104(a,1,2,2,1))]. 14106 K(x,T(K(y,z) * u,z) * y) = K(x,T(y * u,y * z)). [para(163(a,1),14105(a,1,2))]. 14107 K(x,K(y,z) * (T(u,z) * y)) = K(x,T(y * u,y * z)). [para(7451(a,1),14106(a,1,2))]. 14108 K(x,T(y * z,y * u)) = K(x,T(z,u) * T(y,u)). [hyper(13182,a,14107,a),flip(a)]. 14109 K(x,T(y,z * u) * T(z,z * u)) = K(x,T(z * y,u)). [hyper(199,a,13055,a(flip),b,14108,a(flip))]. 14110 K(x,T(y,z * u) * T(z,u)) = K(x,T(z * y,u)). [hyper(11585,a,14109,a)]. 14111 K(x,T(y,T(z,y) * u) * T(T(z,y),u)) = K(x,T(y * z,u)). [hyper(199,a,13195,a(flip),b,14110,a)]. 14112 K(x,T(y,z * u) * T(T(z,y),u)) = K(x,T(y * z,u)). [para(6837(a,1),14111(a,1,2,1))]. 14113 K(x,K(y,z * u) * (T(z,u) * y)) = K(x,T(y * z,u)). [para(5000(a,2),14112(a,1,2))]. 14114 K(x,T(y,z) * T(u,y * z)) = K(x,T(u * y,z)). [hyper(13182,a,14113,a)]. 14115 (x * y) \ (x * (y * (z * K(u,K(w,v5))))) = L(z,y,x) * K(u,K(w,v5)). [para(13871(a,1),14074(a,1,2,2))]. 14116 L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). [hyper(403,a,14115,a)]. 14117 L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). [hyper(199,a,13103,a,b,14116,a)]. 14120 K(x,K(y,z)) * L(K(x,z),u,w) = L(K(x,T(z,y)),u,w). [para(7750(a,1),14117(a,1,1)),flip(a)]. 14124 K(x,y * (z * K(u,u * a(w,v5,v6)))) = K(x,y * z). [hyper(199,a,14051,a(flip),b,14064,a)]. 14126 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(11950(a,1),14124(a,1,2,2,2))]. 14127 K(x,y * T(a(z,u,w),v5)) = K(x,y * a(z,u,w)). [para(12284(a,1),14126(a,1,2,2))]. 14128 K(x,T(a(y,z,u) * w,v5)) = K(x,T(w,v5) * a(y,z,u)). [hyper(199,a,14114,a(flip),b,14127,a(flip)),flip(a)]. 14129 K(x,T(a(y,z,K(u,w)) * v5,v6)) = K(x,T(v5,v6)). [hyper(199,a,14051,a(flip),b,14128,a)]. 14130 K(x,K(y,z \ u)) * L(K(x,z \ u),z,z \ y) = K(x,((y / z) * u) / y). [para(10435(a,2),13969(a,1,2))]. 14131 L(K(x,T(y \ z,u)),y,y \ u) = K(x,((u / y) * z) / u). [hyper(199,a,14120,a(flip),b,14130,a(flip)),flip(a)]. 14132 L(K(x,T(T(y,z) \ z,u)),y,y \ u) = K(x,((u / y) * T(z,y)) / u). [para(3935(a,2),14131(a,1,1,2,1))]. 14133 L(K(x,T(y / z,u)),z,z \ u) = K(x,((u / z) * T(y,z)) / u). [para(11572(a,1),14132(a,1,1))]. 14134 K(x,((y / z) * T(u,z)) / y) = K(x,y \ (u * (z \ y))). [hyper(199,a,12894,a(flip),b,14133,a(flip))]. 14135 K(x,(y * z) \ (u * (z \ (y * z)))) = K(x,(y * T(u,z)) / (y * z)). [para(15(a,1),14134(a,1,2,1,1)),flip(a)]. 14136 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(K(z,u) * T(y \ z,K(z,u))) \ v5). [para(13252(a,1),14033(a,1,2,1,2)),flip(a)]. 14137 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) * K(z,u)) \ v5). [para(105(a,1),14136(a,2,2,1))]. 14139 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). [para(12491(a,1),14137(a,2,2,1))]. 14140 K(x,(y \ T(z,u \ (w \ u))) \ v5) = K(x,(y \ T(z,w \ z)) \ v5). [hyper(199,a,11712,a(flip),b,14139,a(flip)),flip(a)]. 14142 K(x,y * (T(z,u) \ ((w * u) \ w))) != v5 | K(x,y * (((w * u) \ w) / z)) = v5. [para(14085(a,2),13325(a,1))]. 14143 K(x,y * ((z \ u) / T(w,u * z))) = K(x,y * (w \ (z \ u))). [hyper(199,a,14095,a(flip),b,14100,a(flip)),flip(a)]. 14144 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(6245,a,14102,a),flip(a)]. 14145 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). [hyper(199,a,13389,a,b,14144,a(flip)),flip(a)]. 14146 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(199,a,12598,a(flip),b,13968,a(flip))]. 14148 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7105(a,1),14146(a,1,1))]. 14149 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(9774(a,1),14148(a,1,2))]. 14150 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(391,a,14149,a),flip(a)]. 14152 L(x / y,y,K(z,u)) = (x * K(z,u)) / (y * K(z,u)). [hyper(199,a,102,a(flip),b,14150,a(flip))]. 14153 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(14150(a,1),101(a,1,1))]. 14154 L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(7105(a,1),14153(a,1,2))]. 14155 L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(10004(a,1),14154(a,1,1))]. 14156 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [para(13884(a,1),14154(a,1,1)),flip(a)]. 14157 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(199,a,13402,a(flip),b,14156,a(flip))]. 14163 K(x,L(y,z,u)) * (K(w,v5) * (z * u)) = K(w,v5) * ((K(x,y) * z) * u). [para(12918(a,1),14157(a,1,2)),flip(a)]. 14164 (a(x,y,K(z,T(u,y))) * (x * (y * K(z,T(u,y))))) / (K(z,u) * y) = L(x,y,K(z,u)). [hyper(69,a,12695,a,b,14155,a)]. 14165 K(x,L(y,T(z,u),w)) * (z * w) = K(u,z) * ((K(x,y) * T(z,u)) * w). [para(4632(a,1),14163(a,1,2))]. 14166 (a(x,y,K(z,u)) * (z * (y * K(x,T(u,y))))) / (K(x,u) * y) = L(z,y,K(x,u)). [para(13963(a,1),14164(a,1,1,1))]. 14167 (a(x,y,K(z,u)) * (z * (K(x,u) * y))) / (K(x,u) * y) = L(z,y,K(x,u)). [para(7105(a,1),14166(a,1,1,2,2))]. 14169 (T(x,a(y,z,u)) * (K(u,y) * z)) / (K(u,y) * z) = L(x,z,K(u,y)). [para(14013(a,1),14167(a,1,1))]. 14170 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(262,a,14169,a)]. 14171 L(x,y,K(z,u)) = T(x,a(z,y,u)). [hyper(13926,a,14170,a)]. 14172 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(199,a,12301,a,b,14170,a),flip(a)]. 14173 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(199,a,12052,a,b,14170,a),flip(a)]. 14175 L(a(x,y,y \ 1),z,K(u,w)) = a(x,y,y \ 1). [hyper(199,a,12057,a(flip),b,14170,a)]. 14177 a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(z,x)). [para(14170(a,2),13996(a,2,2))]. 14178 a(x,y,K(z,u)) * (z * w) = L(z,y,K(x,u)) * w. [para(14170(a,2),14013(a,2,1))]. 14179 x * a(y,z,K(x,u)) = L(x,z,K(y,u)). [hyper(199,a,12052,a,b,14171,a),flip(a)]. 14180 a(x,y,K(z,u)) * (x \ w) = L(x,y,K(z,u)) \ w. [para(14171(a,2),12285(a,2,1))]. 14181 K(x,(y * a(z,u,w)) \ L(v5 * (a(z,u,w) * y),u,K(z,w))) = K(x,T(v5,y)). [para(14171(a,2),13237(a,1,2,2))]. 14182 a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). [para(14171(a,2),13996(a,2,2))]. 14183 L(x,y,K(z,u)) != w | x * a(z,y,K(x,u)) = w. [para(14171(a,2),14026(a,1))]. 14184 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(14025,a,14172,a)]. 14185 x * a(y,z,K(u,x)) = L(x,z,K(u,y)). [para(12293(a,1),14172(a,1,2))]. 14186 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(14172(a,1),14126(a,1,2,2))]. 14187 a(x,y,K(z,u)) * u = L(u,y,K(x,z)). [hyper(199,a,13940,a,b,14173,a(flip)),flip(a)]. 14190 T(T(x,y),L(y,z,u)) = L(x,z,K(y,u)). [hyper(199,a,13956,a,b,14184,a(flip)),flip(a)]. 14191 (x * a(y,z,K(u,w))) * T(w,a(y,z,K(u,w))) = R(x,a(y,z,K(u,w)),w) * L(w,z,K(y,u)). [para(14184(a,1),9772(a,1,2)),flip(a)]. 14193 x \ L(y,z,K(x,u)) = T(x \ y,a(x,z,u)). [para(14185(a,1),12592(a,1,2))]. 14194 a(x,y,K(z,u)) * (u \ z) = L(u \ z,y,K(x,z)). [para(10560(a,1),14187(a,1,1))]. 14195 L(T(x,y),z,K(y,u)) = T(x,L(y,z,u)). [para(47(a,1),14190(a,1,1)),flip(a)]. 14196 T(x,y) / L(y,z,K(x,u)) = x / T(y,T(L(x,z,u),x)). [para(14190(a,1),8042(a,1,2))]. 14197 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * (w \ (K(z,u) * v5))). [para(5043(a,1),14186(a,1,2,2))]. 14198 K(x,y * T(z,L(u,w,v5))) = K(x,y * T(z,u)). [para(14195(a,1),14186(a,1,2,2))]. 14199 L(x \ y,z,K(x,u)) = x \ L(y,z,K(x,u)). [hyper(199,a,14171,a,b,14193,a),flip(a)]. 14200 T(x,y / (T(L(z,u,K(w,v5)),w) / w)) = T(x,y / L(w \ z,u,K(w,v5))). [para(14199(a,2),11729(a,2,2,2))]. 14201 (K(x,y) * z) \ (K(x,y) * R(z,u,u \ 1)) = a(z,u,u \ 1). [hyper(199,a,603,a,b,14175,a(flip)),flip(a)]. 14202 K(x,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w \ (u * v5))). [para(409(a,1),14198(a,1,2,2,2)),flip(a)]. 14203 (x * y) \ (x * L(y,z,K(u,w))) = a(u,z,K(w,y)). [hyper(68,a,14177,a(flip),b,13943,a(flip))]. 14205 T(x,y * L(z,u,K(w,v5))) = T(x,y * z). [para(14177(a,1),14039(a,1,2))]. 14207 (L(x,y,K(z,u)) * w) / a(x,y,K(z,u)) = x * w. [hyper(69,a,14178,a(flip),b,13943,a(flip))]. 14208 a(x,y,K(z,u)) * (u \ w) = L(u,y,K(x,z)) \ w. [para(12278(a,2),14180(a,1,1))]. 14209 T(x,L(y,z,K(u,w)) \ v5) = T(x,y \ v5). [para(14180(a,1),14039(a,1,2))]. 14210 T(x,y \ T(z,y)) = T(x,z / L(y,u,K(w,v5))). [hyper(199,a,13951,a(flip),b,14209,a(flip))]. 14212 T(x,y / L(z,u,K(w,v5))) = T(x,y / z). [hyper(199,a,11510,a(flip),b,14210,a(flip))]. 14213 a(x,y,K(z,u \ w)) * w = u * L(u \ w,y,K(x,z)). [hyper(270,a,14182,a)]. 14214 ((x * K(y,z)) * u) \ (K(y,T(z,x)) * (x * u)) = a(y,x,K(z,u)). [para(10011(a,1),14203(a,1,2))]. 14215 a(x,y,K(z,u)) * (L(z,y,K(x,u)) * w) = z * w. [hyper(199,a,13955,a(flip),b,14207,a(flip)),flip(a)]. 14216 L(x \ y,z,K(u,y)) = L(x,z,K(u,y)) \ y. [hyper(199,a,14194,a(flip),b,14208,a(flip)),flip(a)]. 14217 T(x,y * (T(z,L(u,w,K(v5,z))) / L(u,w,K(v5,z)))) = T(x,y * L(u \ z,w,K(v5,z))). [para(14216(a,2),11552(a,2,2,2))]. 14218 a(x,y,K(z,u)) * (K(w,L(z,y,K(x,u))) * v5) = z * (T(L(z,y,K(x,u)),w) \ v5). [para(4631(a,1),14215(a,1,2))]. 14219 T(x,y) / L(y,z,K(x,u)) = x / T(y,L(x,z,u)). [para(117(a,1),14196(a,2,2,2))]. 14220 x * L(x \ y,y,K(z,u)) = y * a(z,x,K(u,x \ y)). [hyper(14021,a,14213,a),flip(a)]. 14221 K(x,y * ((z * K(u,w)) \ v5)) = K(x,y * (z \ (K(u,w) * v5))). [hyper(199,a,13328,a(flip),b,14197,a(flip)),flip(a)]. 14222 K(x,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w * (u * v5))). [hyper(199,a,13558,a(flip),b,14202,a)]. 14223 K(x,y * T(z,(u \ w) * v5)) = K(x,y * T(z,w * (u * v5))). [hyper(13559,a,14222,a)]. 14224 T(x,y / (L(T(z,u),w,K(u,v5)) / u)) = T(x,y / L(u \ z,w,K(u,v5))). [para(40(a,2),14200(a,1,2,2,1))]. 14225 T(x,y / L(z \ u,w,K(z,v5))) = T(x,y / (T(u,L(z,w,v5)) / z)). [para(14195(a,1),14224(a,1,2,2,1)),flip(a)]. 14226 T(x,y / (T(z,L(u,w,v5)) / u)) = T(x,y / (u \ z)). [hyper(199,a,14212,a(flip),b,14225,a(flip))]. 14228 a(x,y,K(z,u)) * (L(K(w,z),y,K(x,u)) * v5) = z * (T(L(z,y,K(x,u)),w) \ v5). [para(10435(a,2),14218(a,1,2,1))]. 14229 a(x,y,K(z,u)) * (K(z,w) * v5) = z * (T(L(z,y,K(x,u)),w) \ v5). [para(13910(a,1),14228(a,1,2,1))]. 14230 a(x,y,K(z,u)) * (K(z,w) * v5) = z * (L(T(z,w),y,K(x,u)) \ v5). [para(40(a,2),14229(a,2,2,1))]. 14232 (K(x,y) * z) * a(x,u,K(w,v5)) = x * (L(T(x,y),u,K(w,v5)) \ z). [hyper(14022,a,14230,a)]. 14233 L(K(x,K(y,z)) * ((u * w) \ v5),K(x,K(y,z)),u * w) = (u * (w * K(x,K(y,z)))) \ v5. [para(5028(a,1),13981(a,1,1))]. 14234 K(x,(T(T(y,z),u) * w) / (T(T(y,z),u) * z)) = L(K(x,T(z \ w,z * y)),z,y). [hyper(13998,a,14000,a),flip(a)]. 14237 K(x,(T(T(y,z),u) * w) / (T(T(y,z),u) * z)) = K(x,(y * w) / (y * z)). [hyper(199,a,13062,a(flip),b,14234,a)]. 14238 K(x,(T(T(y,z),u) * w) / (z * T(y,u))) = K(x,(y * w) / (y * z)). [para(189(a,1),14237(a,1,2,2))]. 14239 T(x,y * (T(z,u) / L(u,w,K(v5,z)))) = T(x,y * L(u \ z,w,K(v5,z))). [para(7622(a,1),14217(a,1,2,2,1))]. 14240 T(x,y * (T(z,u) / L(u,w,K(z,v5)))) = T(x,y * L(u \ z,w,K(v5,z))). [para(4738(a,1),14239(a,1,2,2,2,3))]. 14243 T(x,y * L(z \ u,w,K(v5,u))) = T(x,y * (u / T(z,L(u,w,v5)))). [para(14219(a,1),14240(a,1,2,2)),flip(a)]. 14244 T(x,y * (z / T(u,L(z,w,v5)))) = T(x,y * (u \ z)). [hyper(199,a,14205,a(flip),b,14243,a(flip))]. 14246 (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). [hyper(199,a,14014,a(flip),b,14233,a(flip))]. 14247 K(x,K(y,z)) * ((u * w) \ (u * (w * (v5 * K(x,K(y,z)))))) = L(L(v5,K(x,K(y,z)),w),w * K(x,K(y,z)),u). [hyper(13132,a,14246,a),flip(a)]. 14249 L(K(x,y / z),a(u,w,K(v5,v6)),z) = K(x,y / (z * a(u,w,K(v5,v6)))). [para(14052(a,1),13945(a,1,1))]. 14251 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). [para(166(a,1),14047(a,1,1))]. 14253 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. [hyper(199,a,194,a(flip),b,14251,a)]. 14254 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(y,x) * L(K(x,y),u,w),y)) = L(K(x,y),u,w) * z. [hyper(199,a,12281,a,b,14253,a(flip)),flip(a)]. 14255 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [para(12289(a,1),14253(a,1,2))]. 14256 L(K(x,y \ z),y,T(y \ L(y,u,w),v5)) = K(x,L(y,u,w) \ (z * (y \ L(y,u,w)))). [para(107(a,1),14088(a,1,1,2))]. 14257 L(K(x,y \ z),y,y \ L(y,u,w)) = K(x,L(y,u,w) \ (z * (y \ L(y,u,w)))). [hyper(13998,a,14256,a)]. 14258 K(x,L(y,z,z \ 1) \ (u * (y \ L(y,z,z \ 1)))) != w | K(x,y \ u) = w. [para(14257(a,1),12600(a,1))]. 14259 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(13289,a,14145,a)]. 14260 ((x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * v5)) * K(y,K(z,u)) = a(x,w,v5 * K(y,K(z,u))). [hyper(199,a,14005,a(flip),b,13984,a(flip)),flip(a)]. 14261 (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(14017(a,1),14260(a,1,1))]. 14262 (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(24(a,2),14261(a,1,1,1))]. 14263 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(6273,a,14262,a)]. 14265 a(x,y,T(z,K(u,w))) = a(x,y,z). [para(4652(a,2),14263(a,1,3))]. 14266 a(x,K(y,T(z,u)),u) = a(x,K(y,z),u). [hyper(199,a,7124,a,b,14265,a(flip)),flip(a)]. 14268 K(x,((K(y,z) * u) * L((K(z,y) \ u) \ u,w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(5008(a,1),14098(a,1,2,1,1))]. 14269 K(x,((K(y,z) * u) * L(K(z,T(y,u)),w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(7354(a,1),14268(a,1,2,1,2,1))]. 14270 K(x,(K(y,z) * (u * L(K(z,T(y,u)),w,v5))) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(13916(a,1),14269(a,1,2,1))]. 14271 K(x,(K(y,z) * (L(K(z,y),u,w) * v5)) \ v6) = K(x,(K(z,y) \ v5) \ (L(K(y,z),u,w) * v6)). [para(7109(a,1),14270(a,1,2,1,2))]. 14272 K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,(a(y,w,K(v5,z)) * u) \ v6). [para(12299(a,1),14271(a,1,2,1)),flip(a)]. 14273 L(L(x,K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = K(y,K(z,u)) * L(x * K(y,K(z,u)),w,v5). [para(28(a,2),14247(a,1,2)),flip(a)]. 14274 K(x,K(y,z)) * L(u * K(x,K(y,z)),w,v5) = L(u,w * K(x,K(y,z)),v5). [para(14014(a,1),14273(a,1,1)),flip(a)]. 14275 L((x * K(y,K(z,u))) * K(y,K(z,u)),w,v5) = L(x,w * K(y,K(z,u)),v5). [hyper(17,a,14117,a(flip),b,14274,a)]. 14276 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [para(6222(a,1),14275(a,1,1)),flip(a)]. 14278 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(7094(a,1),14276(a,1,2))]. 14279 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(199,a,13657,a(flip),b,14278,a(flip)),flip(a)]. 14281 L(x \ L(x,K(y,T(z,u)),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). [para(14279(a,1),12963(a,1,1,2))]. 14282 L(x,K(y,T(a(z,u,w),v5)),v6) = R(x,a(y,u,K(z,w)),v6). [para(13958(a,1),14279(a,1,2)),flip(a)]. 14283 R(x,a(y,z,K(u,w)),v5) = L(x,a(y,z,K(u,w)),v5). [para(13958(a,1),14282(a,1,2)),flip(a)]. 14284 (x * a(y,z,K(u,w))) * T(w,a(y,z,K(u,w))) = L(x,a(y,z,K(u,w)),w) * L(w,z,K(y,u)). [para(14283(a,1),14191(a,2,1))]. 14285 L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). [para(14278(a,1),14281(a,1,1,2))]. 14286 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,T(z,x)),x). [hyper(199,a,419,a(flip),b,14285,a(flip)),flip(a)]. 14288 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),x). [hyper(199,a,14266,a(flip),b,14286,a)]. 14289 (x * a(y,z,K(u,w))) * T(w,a(y,z,K(u,w))) = x * L(w,z,K(y,u)). [para(11921(a,1),14284(a,2,1))]. 14290 (x * a(y,z,K(u,w))) * w = x * L(w,z,K(y,u)). [para(13902(a,1),14289(a,1,2))]. 14291 ((K(x,y) * z) * a(x,z,K(y,u))) * u = K(x,y) * (z * u). [hyper(199,a,92,a(flip),b,14290,a)]. 14292 (x * (L(T(x,y),z,K(y,u)) \ z)) * u = K(x,y) * (z * u). [para(14232(a,1),14291(a,1,1))]. 14293 (x * (T(x,L(y,z,u)) \ z)) * u = K(x,y) * (z * u). [para(14195(a,1),14292(a,1,1,2,1))]. 14294 (K(x,L(y,z,u)) * z) * u = K(x,y) * (z * u). [para(4971(a,1),14293(a,1,1))]. 14295 (L(K(x,y),z,u) * z) * u = K(x,y) * (z * u). [para(10435(a,2),14294(a,1,1,1))]. 14296 L(L(K(x,y),z,u),z,u) = K(x,y). [hyper(12953,a,14295,a)]. 14297 (L(K(x,y),z * u,u \ 1) * (z * u)) * (u \ 1) = K(x,y) * R(z,u,u \ 1). [para(329(a,1),14295(a,2,2))]. 14298 L(K(x,y \ (z * u)),u,z) = K(x,(z \ y) \ u). [para(6397(a,1),14296(a,1,1))]. 14300 L(K(x,(y * z) \ u),z,y) = K(x,z \ (y \ u)). [para(10445(a,1),14296(a,1,1))]. 14301 L(K(x,y \ (z * u)),y,z) = K(x,(z \ y) \ u). [para(12570(a,1),14296(a,1,1))]. 14302 L(K(x,y / (z * u)),z,u) = K(x,(y / u) / z). [para(12891(a,1),14296(a,1,1))]. 14303 L(K(x,(y * z) / u),y,z) = K(x,y / (u / z)). [para(12901(a,1),14296(a,1,1))]. 14304 L(K(x,(y * z) / u),u,z) = K(x,y / (u / z)). [para(12926(a,1),14296(a,1,1))]. 14305 L(K(x,T(y,z) \ (z * u)),y,z) = K(x,(y / z) \ u). [para(12947(a,1),14296(a,1,1))]. 14306 L(K(x,(T(y,z) * u) \ w),u,y) = K(x,u \ (T(y,z) \ w)). [hyper(13998,a,14300,a)]. 14307 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(199,a,12703,a(flip),b,14300,a(flip)),flip(a)]. 14308 L(K(x,(y * z) \ R(y,u,u \ 1)),z,y) = K(x,z \ a(y,u,u \ 1)). [para(601(a,1),14300(a,2,2,2))]. 14309 L(K(x,a(y,y \ z,u)),(y \ z) * u,y) = K(x,((y \ z) * u) \ (y \ (z * u))). [para(84(a,1),14300(a,1,1,2))]. 14310 K(x,(y * z) \ (y * (y * u))) = K(x,(y \ z) \ u). [hyper(10509,a,14301,a)]. 14311 L(K(x,a(y,z,u)),y * (z * u),y * z) = K(x,((y * z) \ (y * (z * u))) \ u). [para(24(a,2),14301(a,1,1,2))]. 14312 L(K(x,(y \ z) \ ((y \ 1) * u)),y \ z,y \ 1) = K(x,((y \ z) / T(y \ 1,z)) \ u). [para(3991(a,2),14301(a,2,2,1))]. 14313 L(K(x,T(y,z) \ (u * w)),z * (y / z),u) = K(x,(u \ (z * (y / z))) \ w). [para(11601(a,1),14301(a,1,1))]. 14314 L(K(x,(y * z) \ ((K(z,y) * u) * w)),y * z,K(z,y) * u) = K(x,(u \ (z * y)) \ w). [para(12412(a,1),14301(a,2,2,1))]. 14315 L(L(K(x,T(y,z)),u,u \ z),z,u) = K(x,(u \ z) \ ((y \ u) \ z)). [para(12967(a,1),14301(a,1,1))]. 14317 K(x,(y * (y * z)) / (u * y)) = K(x,z / (u / y)). [hyper(12950,a,14304,a)]. 14318 K(x,(y \ z) \ (y \ u)) = K(x,(y * z) \ (y * u)). [para(14(a,1),14310(a,1,2,2,2)),flip(a)]. 14319 K(x,(y * (y * z)) / u) = K(x,z / ((u / y) / y)). [para(16(a,1),14317(a,1,2,2))]. 14320 K(x,(y * (y * z)) / u) = K(x,z / (y \ (y \ u))). [hyper(199,a,13356,a(flip),b,14319,a)]. 14321 K(x,(y * (y * z)) / (y * u)) = K(x,z / (y \ u)). [para(13(a,1),14320(a,2,2,2,2))]. 14322 K(x,(y \ z) / (y \ u)) = K(x,(y * z) / (y * u)). [para(14(a,1),14321(a,1,2,1,2)),flip(a)]. 14323 K(x,(T(T(y,z),u) \ w) / (T(T(y,z),u) \ z)) = K(x,(T(T(y,z),u) * w) / (z * T(y,u))). [para(189(a,1),14322(a,2,2,2))]. 14324 K(x,(y * (1 / z)) \ T((z * u) * (1 / z),z)) = K(x,(y / z) \ u). [hyper(199,a,13692,a(flip),b,14305,a(flip)),flip(a)]. 14325 K(x,(y * z) \ (z * (z * u))) = K(x,(y / z) \ u). [hyper(199,a,10511,a(flip),b,14305,a(flip)),flip(a)]. 14326 L(L(K(x,T(y,z)),u * (u \ z),u \ z),z,u) = K(x,(u \ z) \ ((y \ u) \ z)). [para(12578(a,2),14315(a,1,1))]. 14327 L(L(K(x,T(y \ z,(y * (z / y)) * u)),z,z \ ((y * (z / y)) * u)),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). [para(12932(a,1),14315(a,2,2,2))]. 14328 K(x,(y * (1 / z)) \ ((u * z) * (1 / z))) = K(x,(y / z) \ u). [para(2176(a,1),14324(a,1,2,2))]. 14329 K(x,(y * (1 / z)) \ ((u * z) * (z \ 1))) = K(x,(y / z) \ u). [hyper(199,a,5497,a(flip),b,14328,a(flip)),flip(a)]. 14330 K(x,(y * (1 / z)) \ R(u,z,z \ 1)) = K(x,(y / z) \ u). [para(329(a,1),14329(a,1,2,2))]. 14331 K(x,(y * (1 / z)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). [hyper(199,a,11765,a(flip),b,14330,a(flip)),flip(a)]. 14332 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). [hyper(199,a,5502,a(flip),b,14331,a(flip)),flip(a)]. 14333 L(K(x,(y * z) \ L(y,u,u \ 1)),z,y) = K(x,z \ a(y,u,u \ 1)). [para(11765(a,1),14308(a,1,1))]. 14334 K(x,y \ (z \ L(z,u,u \ 1))) = K(x,y \ a(z,u,u \ 1)). [hyper(199,a,14300,a(flip),b,14333,a(flip)),flip(a)]. 14335 K(x,L(y,z,z \ 1) \ (u * T(y \ L(y,z,z \ 1),w))) = K(x,(u \ L(y,z,z \ 1)) \ a(y,z,z \ 1)). [hyper(199,a,12993,a,b,14334,a(flip)),flip(a)]. 14336 (L(K(x,y),z * u,u) * (z * u)) * (u \ 1) = K(x,y) * R(z,u,u \ 1). [para(12550(a,1),14297(a,1,1,1))]. 14337 (L(K(x,y),z,u) * (z * u)) * (u \ 1) = K(x,y) * R(z,u,u \ 1). [para(12578(a,1),14336(a,1,1,1))]. 14338 ((K(x,y) * z) * u) * (u \ 1) = K(x,y) * R(z,u,u \ 1). [para(12903(a,1),14337(a,1,1))]. 14339 R(K(x,y) * z,u,u \ 1) = K(x,y) * R(z,u,u \ 1). [hyper(438,a,14338,a)]. 14340 (K(x,y) * z) \ R(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [para(14339(a,2),14201(a,1,2))]. 14341 a(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [hyper(604,a,14340,a)]. 14342 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [para(1055(a,2),14341(a,1,1))]. 14343 a((x \ y) \ y,z,z \ 1) = a(x,z,z \ 1). [para(4587(a,1),14341(a,1,1)),flip(a)]. 14344 a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). [para(4680(a,1),14341(a,1,1))]. 14345 a(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). [para(7106(a,1),14341(a,1,1))]. 14346 x \ R(x * K(y,z),u,u \ 1) = a(x,u,u \ 1) * K(y,z). [para(14341(a,1),12683(a,2,1))]. 14347 a(L(x,y,K(z,u)),w,w \ 1) = a(x,w,w \ 1). [para(14170(a,2),14342(a,1,1))]. 14348 a((x * K(y,z)) / (u * K(y,z)),w,w \ 1) = a(x / u,w,w \ 1). [para(14152(a,1),14347(a,1,1))]. 14349 x \ R(x * K(y,z),u,u \ 1) = K(y,z) * a(x,u,u \ 1). [hyper(199,a,13922,a,b,14346,a)]. 14351 a((x \ K(y,z / x)) \ 1,u,u \ 1) = z \ T(z * (K(z,y) * a(x,u,u \ 1)),y). [para(14349(a,1),12811(a,1,2,1,2)),flip(a)]. 14352 a((x * K(y,z)) / (u * K(y,z)),w,w \ 1) = a(u \ x,w,w \ 1). [hyper(199,a,14344,a(flip),b,14348,a)]. 14353 a((x * K(y,z)) \ (u * K(y,z)),w,w \ 1) = a(x \ u,w,w \ 1). [hyper(199,a,14344,a(flip),b,14352,a(flip)),flip(a)]. 14354 L(a(x,y \ z,K(y,u)),(y \ z) * u,y) = K(x,((y \ z) * u) \ (y \ (z * u))). [para(12276(a,2),14309(a,1,1))]. 14355 L(a(x,y,K(z,u)),z * (y * u),z * y) = K(x,((z * y) \ (z * (y * u))) \ u). [para(12276(a,2),14311(a,1,1))]. 14356 L(L(K(x,T(y,z)),z,u \ z),z,u) = K(x,(u \ z) \ ((y \ u) \ z)). [para(14(a,1),14326(a,1,1,2))]. 14357 a(x,y \ z,L(K(y,u),(y \ z) * u,y)) = K(x,((y \ z) * u) \ (y \ (z * u))). [hyper(199,a,10970,a,b,14354,a(flip)),flip(a)]. 14358 a(x,y,L(K(z,u),z * (y * u),z * y)) = K(x,((z * y) \ (z * (y * u))) \ u). [hyper(199,a,10970,a,b,14355,a(flip)),flip(a)]. 14359 K(x,((y \ z) * u) \ (y \ (z * u))) = a(x,y \ z,K(y,u)). [para(6973(a,1),14357(a,1,3)),flip(a)]. 14360 K(x,((y \ z) * u) \ (y \ (z * u))) = a(y,z,K(x,u)). [hyper(199,a,12556,a(flip),b,14359,a)]. 14362 K(x,(y \ (z * u)) / T((y \ z) * u,((y \ z) * u) \ (y \ (z * u)))) = a(y,z,K(x,u)). [para(181(a,2),14360(a,1,2))]. 14363 T(x,((y \ z) * u) \ (y \ (z * u))) = x * a(y,z,K(x,u)). [para(14360(a,1),4652(a,2,2))]. 14364 T(x,((y \ z) * u) \ (y \ (z * u))) = L(x,z,K(y,u)). [hyper(199,a,14179,a(flip),b,14363,a)]. 14365 K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,L(K(y,u),y * (z * u),z)). [para(12546(a,1),14358(a,1,3)),flip(a)]. 14366 K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,L(K(y,u),z * u,z)). [para(10462(a,1),14365(a,2,3))]. 14367 K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,L(K(y,u),z,z)). [para(10440(a,1),14366(a,2,3))]. 14368 K(x,((y * z) \ (y * (z * u))) \ u) = a(x,z,K(y,u)). [para(12265(a,1),14367(a,2,3))]. 14369 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(y,z \ (y \ u))). [para(56(a,1),14368(a,1,2,1,2))]. 14371 K(x,((y * z) \ u) \ (z \ (y \ u))) != w | a(x,z,K(y,z \ u)) = w. [para(14369(a,2),12540(a,1))]. 14372 a((x \ K(y,z / x)) \ 1,u,u \ 1) = z \ T(T(z,y) * a(x,u,u \ 1),y). [para(4626(a,1),14351(a,2,2,1))]. 14373 L(K(x,(y \ z) \ ((y \ 1) * u)),y \ z,y) = K(x,((y \ z) / T(y \ 1,z)) \ u). [hyper(12591,a,14312,a)]. 14374 K(x,((y \ z) / T(y \ 1,z)) \ u) = K(x,z \ (y * ((y \ 1) * u))). [hyper(10483,a,14373,a),flip(a)]. 14375 K(x,((y \ z) / T(y \ 1,z)) \ u) = K(x,z \ L(u,y \ 1,y)). [para(173(a,1),14374(a,2,2,2))]. 14376 K(x,((y \ 1) \ (y \ z)) \ u) = K(x,z \ L(u,y \ 1,y)). [para(3991(a,1),14375(a,1,2,1))]. 14377 L(K(x,y \ L(z,u \ 1,u)),z,u \ K(u,u \ y)) = K(x,(y / u) \ ((u \ K(u,u \ y)) * z)). [para(14376(a,1),8179(a,1,1))]. 14378 L(K(x,(y * z) \ ((K(y,z) * u) * w)),y * z,K(z,y) * u) = K(x,(u \ (z * y)) \ w). [para(4738(a,1),14314(a,1,1,2,2,1,1))]. 14379 K(x,(y \ (z * u)) / L((y \ z) * u,z,K(y,u))) = a(y,z,K(x,u)). [para(14364(a,1),14362(a,1,2,2))]. 14380 K(x,(T(T(y,z),u) \ w) / (z / T(y,u))) = K(x,(T(T(y,z),u) * w) / (z * T(y,u))). [hyper(199,a,13354,a(flip),b,14323,a(flip)),flip(a)]. 14381 K(x,(T(T(y,z),u) \ w) / (z / T(y,u))) = K(x,(y * w) / (y * z)). [hyper(199,a,14238,a(flip),b,14380,a)]. 14383 K(x,L(y,z,z \ 1) \ (u * (y \ L(y,z,z \ 1)))) = K(x,(u \ L(y,z,z \ 1)) \ a(y,z,z \ 1)). [para(104(a,1),14335(a,1,2,2,2))]. 14384 K(x,(y \ L(z,u,u \ 1)) \ a(z,u,u \ 1)) != w | K(x,z \ y) = w. [para(14383(a,1),14258(a,1))]. 14385 L(K(x,L(K(y,z),u,w) * (T(v5,K(y,z)) \ v6)),L(K(y,z),u,w),T(v5,K(y,z))) = K(x,(L(K(y,z),u,w) * v5) \ v6). [para(5774(a,1),14072(a,1,1,2))]. 14386 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(x,y) * K(y,x),y)) = L(K(x,y),u,w) * z. [para(14071(a,1),14254(a,1,2,3))]. 14387 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(1,y)) = L(K(x,y),u,w) * z. [para(4897(a,1),14386(a,1,2,3,1))]. 14389 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,1) = L(K(x,y),u,w) * z. [para(133(a,1),14387(a,1,2,3))]. 14391 K(x,y) * (z * (K(y,x) * L(K(x,y),u,w))) = L(K(x,y),u,w) * z. [hyper(288,a,14389,a)]. 14393 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(12289(a,1),14391(a,1,2,2))]. 14394 L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. [para(14393(a,1),12904(a,1,2,1))]. 14395 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(13884(a,1),14394(a,1,1))]. 14396 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(13918(a,1),14395(a,1,2))]. 14397 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(5030,a,14396,a)]. 14398 T(x * a(y,z,K(u,w)),K(y,w)) = L(K(y,w),z,u) * (x * K(w,y)). [hyper(5343,a,14397,a)]. 14399 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [hyper(199,a,12299,a(flip),b,14397,a(flip))]. 14400 a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). [hyper(4655,a,14399,a),flip(a)]. 14401 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(14057(a,1),14400(a,1,2,2))]. 14402 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4652(a,2),14401(a,1,2)),flip(a)]. 14404 x \ (y * T((a(z,u,K(w,v5)) * (y \ x)) * a(v5,u,K(w,z)),v6)) = K((x \ (y * a(v5,u,K(w,z)))) \ 1,v6). [para(14402(a,2),12481(a,1,2,2))]. 14405 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(13954(a,1),14404(a,1,2,2,1)),flip(a)]. 14406 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [hyper(199,a,4878,a(flip),b,14405,a)]. 14408 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(199,a,14045,a(flip),b,14406,a(flip))]. 14410 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(199,a,11758,a(flip),b,14408,a(flip))]. 14411 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(5567,a,14410,a)]. 14412 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(199,a,5442,a(flip),b,14411,a)]. 14413 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(14255(a,1),14412(a,1,1,2))]. 14414 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(199,a,14259,a(flip),b,14413,a(flip)),flip(a)]. 14416 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(199,a,14010,a(flip),b,14414,a)]. 14417 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),14416(a,2,1,2,2))]. 14418 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). [hyper(199,a,14011,a,b,14417,a(flip)),flip(a)]. 14421 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). [hyper(199,a,13991,a(flip),b,14418,a)]. 14422 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(5014(a,1),14421(a,2,1,2))]. 14423 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(4912(a,1),14422(a,1,1,2,1,2,1))]. 14424 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(8982(a,1),14423(a,1,1,2,1))]. 14425 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(12695(a,1),14424(a,1,1,2))]. 14426 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(14090,a,14425,a),flip(a)]. 14427 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(161(a,1),14426(a,1,1))]. 14428 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7420,a,14427,a)]. 14429 K(L(x,K(y,z),u),w) = K(x,w). [hyper(13167,a,14428,a)]. 14431 L(K(x,y),K(z,u),w) = K(y,x). [hyper(10474,a,14429,a)]. 14433 a(x,K(y,z),K(u,w)) = 1. [hyper(67,a,14429,a,b,10466,a),flip(a)]. 14438 K(x,y) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(14429(a,1),13573(a,1,1))]. 14439 x * a(y,K(z,u),K(w,v5)) = x. [para(14433(a,2),12(a,1,2))]. 14440 L(K(x,y),K(z,u),w) != v5 | K(x,y) = v5. [para(14431(a,2),4862(a,1))]. 14442 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [hyper(13572,a,14439,a),flip(a)]. 14450 L(K(x,y),L(K(z,u),w,v5),v6) != v7 | K(x,y) = v7. [para(5573(a,1),14440(a,1,2))]. 14456 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). [para(12062(a,2),14442(a,1,2))]. 14457 K(x,y) * ((K(z,u) * T(y,x)) * w) = (K(z,u) * y) * w. [hyper(5037,a,14438,a)]. 14459 K(x,L(y,T(z,u),w)) * (z * w) = (K(x,y) * z) * w. [hyper(199,a,14165,a,b,14457,a(flip)),flip(a)]. 14461 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [hyper(18,a,12918,a,b,14459,a)]. 14462 L(K(x,y),T(z,u),w) = K(x,L(y,z,w)). [hyper(10436,a,14461,a)]. 14464 L(K(x,y),T(z,u),w) != v5 | L(K(x,y),z,w) = v5. [para(14462(a,2),10436(a,1))]. 14465 L(K(x,T(y,z) \ (u * w)),y,u) = K(x,(u \ T(y,z)) \ w). [hyper(14464,a,14301,a)]. 14466 L(K(x,(y * T(z,u)) \ w),z,y) = K(x,T(z,u) \ (y \ w)). [hyper(14464,a,14300,a)]. 14467 L(K(x,y),(z \ u) \ 1,T(u,z)) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(14464,a,12701,a)]. 14468 L(K(x,y),z * (u / z),w) = L(K(x,y),u,w). [hyper(14464,a,11746,a)]. 14469 L(K(x,y),T((1 / z) * u,w),1 / z) = L(K(x,y),z \ u,z). [hyper(14464,a,12654,a(flip)),flip(a)]. 14470 L(K(x,y),z / u,w) != v5 | L(K(x,y),u \ z,w) = v5. [para(170(a,1),14464(a,1,2))]. 14471 L(K(x,T(y,z) \ (u * w)),y,u) = K(x,(u \ (z * (y / z))) \ w). [hyper(199,a,14313,a(flip),b,14468,a(flip))]. 14472 L(L(K(x,T(y / z,T(u,w))),z,z \ T(u,w)),u,y) = K(x,(y \ T(u,w)) \ (z \ T(u,w))). [para(12894(a,2),14465(a,1,1))]. 14473 L(K(x,(y * z) \ u),y,z) = K(x,T(y,z) \ (z \ u)). [para(105(a,1),14466(a,1,1,2,1))]. 14474 L(L(K(x,T(y / z,T(u,w) * z)),z,T(u,w)),u,z) = K(x,T(u,w) \ (z \ (y * T(u,w)))). [para(13063(a,2),14466(a,1,1))]. 14475 L(K(x,((1 / (y \ z)) * z) \ u),1 / (y \ z),z) = K(x,(((1 / (y \ z)) \ y) \ y) \ (z \ u)). [para(9857(a,1),14473(a,2,2,1))]. 14476 L(K(x,y),T((1 / z) * u,w),1 / z) = L(K(x,y),u,z). [hyper(199,a,12569,a(flip),b,14469,a)]. 14477 L(K(x,y),T((1 / z) * u,w),z \ 1) = L(K(x,y),u,z). [hyper(14002,a,14476,a)]. 14478 L(K(x,y),T((1 / z) * u,w),z) = L(K(x,y),u,z). [hyper(12591,a,14477,a)]. 14479 L(K(x,y),(1 / z) * u,z) = L(K(x,y),u,z). [hyper(14464,a,14478,a)]. 14480 L(K(x,y),(z \ 1) * u,z) = L(K(x,y),u,z). [hyper(199,a,4492,a(flip),b,14479,a(flip)),flip(a)]. 14481 L(K(x,y \ (z * ((z \ 1) * u))),u,z) = K(x,(z \ y) \ ((z \ 1) * u)). [hyper(199,a,14298,a(flip),b,14480,a(flip))]. 14483 K(x,(y \ (z * (u / z))) \ w) = K(x,(y \ T(u,z)) \ w). [hyper(199,a,14465,a(flip),b,14471,a(flip))]. 14484 K(x,(y \ T(z * u,z)) \ w) = K(x,(y \ (u * z)) \ w). [para(194(a,1),14483(a,1,2,1,2)),flip(a)]. 14485 K(x,(y \ T(z * (u / z),w)) \ v5) = K(x,(y \ T(T(u,w),z)) \ v5). [para(4378(a,2),14483(a,1,2,1,2))]. 14486 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). [para(12062(a,2),14456(a,2,2,1))]. 14487 L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,(1 / (z \ u)) \ z). [hyper(13998,a,14467,a)]. 14488 L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,((z \ u) \ 1) \ z). [hyper(199,a,3762,a(flip),b,14487,a)]. 14490 L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,(z \ u) * z). [hyper(199,a,12649,a(flip),b,14488,a)]. 14491 L(K(x,y),(z \ u) \ 1,u) = L(K(x,y),z,T(u,z)). [hyper(199,a,11406,a(flip),b,14490,a)]. 14492 L(K(x,y),(z \ u) \ 1,u) != w | L(K(x,y),z,u) = w. [para(14491(a,2),10017(a,1))]. 14493 x \ ((x * y) * K(z,u)) = y * (a(x,y,K(z,u)) * K(z,u)). [hyper(199,a,14030,a,b,14486,a(flip)),flip(a)]. 14494 x \ ((x * y) * K(z,u)) = y * (K(z,u) * a(x,y,K(z,u))). [hyper(199,a,13941,a(flip),b,14493,a)]. 14495 (x \ y) * (K(z,u) * a(x,x \ y,K(z,u))) = x \ (y * K(z,u)). [para(14(a,1),14494(a,1,2,1)),flip(a)]. 14496 (x \ y) * L(K(z,u),x \ y,x) = x \ (y * K(z,u)). [para(8997(a,1),14495(a,1,2))]. 14497 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [para(14495(a,1),14126(a,1,2))]. 14498 K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). [hyper(13297,a,14497,a)]. 14499 K(x,(y \ (z * u)) * K(u,w)) = K(x,y \ (z * T(u,w))). [para(5948(a,1),14497(a,1,2,2)),flip(a)]. 14500 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(199,a,13177,a,b,14498,a)]. 14501 K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,(y \ (z \ w)) * K(u,z \ 1)). [hyper(199,a,11799,a,b,14498,a(flip)),flip(a)]. 14502 K(x,(y \ (z \ u)) * K(z,w)) = K(x,y \ (T(z,w) \ u)). [para(5074(a,1),14498(a,1,2,2)),flip(a)]. 14503 x * K(x,K(y,z) * (u \ w)) = T(x,u \ (K(y,z) * w)). [para(14500(a,1),4652(a,2,2)),flip(a)]. 14504 K(x,K(y,z) * (u \ (K(y,z) * w))) = K(x,u \ w). [para(5041(a,1),14500(a,1,2,2)),flip(a)]. 14505 K(x,K(y,z) * (u \ (z * w))) = K(x,u \ (T(z,y) * w)). [para(5006(a,1),14500(a,1,2,2)),flip(a)]. 14506 K(x,K(y,z) * ((u * K(y,z)) \ w)) = K(x,u \ w). [hyper(199,a,14221,a,b,14504,a(flip)),flip(a)]. 14507 K(x,(y * K(z,u)) \ w) = K(x,K(z,u) * (y \ w)). [para(6222(a,1),14506(a,1,2,2,1)),flip(a)]. 14508 K(x,(K(y,z) * u) \ w) = K(x,K(y,z) * (u \ w)). [hyper(13293,a,14507,a)]. 14509 K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(y,z)). [hyper(199,a,13177,a(flip),b,14508,a)]. 14510 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [para(4669(a,1),14508(a,1,2,1)),flip(a)]. 14513 (x \ y) * L(K(z,u),y,x) = x \ (y * K(z,u)). [para(12569(a,1),14496(a,1,2))]. 14514 (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). [para(12551(a,2),14513(a,1,2))]. 14515 a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). [para(14514(a,1),14345(a,1,1))]. 14516 K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))). [hyper(13181,a,14499,a)]. 14517 T(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)). [hyper(4655,a,14503,a),flip(a)]. 14518 T(x,y \ (K(z,u) * w)) = T(x,(y \ w) * K(z,u)). [hyper(199,a,13134,a(flip),b,14517,a)]. 14519 T(x,(y \ z) * K(u,y \ 1)) = T(x,T(y \ 1,u) * z). [hyper(199,a,12461,a(flip),b,14518,a(flip))]. 14520 K(x,K(y,z \ u) * ((y * w) \ v5)) = K(x,(T(y,z * u) * w) \ v5). [hyper(199,a,13554,a,b,14510,a(flip)),flip(a)]. 14521 K(x,(T(y,z) * u) \ (z * w)) = K(x,(y * u) \ (T(z,y) * w)). [hyper(199,a,14505,a(flip),b,14510,a(flip))]. 14522 a((x * K(y,z)) \ u,w,w \ 1) = a(x \ u,w,w \ 1). [hyper(199,a,14353,a(flip),b,14515,a(flip))]. 14523 K(x,(y * z) \ (u * T(y,z))) = K(x,(z * y) \ (u * y)). [para(9153(a,1),14516(a,1,2)),flip(a)]. 14524 T(T(x,K(y,z)),z * T(y \ 1,u)) = T(x,T(y \ 1,u) * z). [hyper(199,a,12665,a,b,14519,a(flip)),flip(a)]. 14526 a((x \ K(y,z)) \ u,w,w \ 1) = a((x \ 1) \ u,w,w \ 1). [para(12323(a,1),14522(a,1,1,1))]. 14527 K(x,(y * z) \ (u * (z \ (y * z)))) = K(x,(z * y) \ (u * y)). [para(32(a,1),14523(a,1,2,2,2))]. 14528 T(T(x,K(y,z)),z / T(y,u)) = T(x,T(y \ 1,u) * z). [hyper(199,a,13528,a(flip),b,14524,a(flip)),flip(a)]. 14529 T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u). [hyper(13257,a,14528,a),flip(a)]. 14530 T(x,T(1 / y,z) * u) = T(x,T(y,z) \ u). [hyper(12596,a,14529,a)]. 14531 T(x,T(y \ 1,z) \ u) = T(x,T(y,z) * u). [hyper(199,a,4277,a(flip),b,14529,a(flip))]. 14532 T(x,T(y,z \ u) \ w) = T(x,T(y,z * u) \ w). [hyper(199,a,13630,a(flip),b,14530,a(flip))]. 14533 T(x,T(y \ 1,z \ u) \ w) = T(x,T(y,(u \ z) \ 1) * w). [para(6132(a,1),14531(a,1,2,1))]. 14534 x \ T(T(x,y) * a(z,u,u \ 1),y) = a((z \ 1) \ 1,u,u \ 1). [hyper(199,a,14372,a(flip),b,14526,a(flip)),flip(a)]. 14535 K(x,(y * T(z,u)) / (y * u)) = K(x,(u * y) \ (z * y)). [hyper(199,a,14135,a(flip),b,14527,a(flip)),flip(a)]. 14536 K(x,(y * z) \ (T(u,y) * z)) = K(x,(z * u) / (z * y)). [para(47(a,1),14535(a,1,2,1,2)),flip(a)]. 14537 L(K(x,(y * z) \ (u * z)),z,y) = K(x,((z * T(u,y)) / y) / z). [para(14535(a,1),14302(a,1,1))]. 14538 L(K(x,(y * z) \ (u * z)),z * y,T(u,y)) = K(x,z / ((z * y) / T(u,y))). [para(14535(a,1),14304(a,1,1))]. 14539 K(x,(T(y,z) * u) \ (z * u)) = K(x,(u * z) / (u * y)). [hyper(199,a,14521,a,b,14536,a(flip)),flip(a)]. 14540 L(K(x,(y * z) / (y * u)),y,u) = K(x,y \ (T(u,z) \ (z * y))). [para(14539(a,1),14306(a,1,1))]. 14541 T(x,T(y \ 1,z * u) \ w) = T(x,T(y,(u \ z) \ 1) * w). [hyper(199,a,14532,a(flip),b,14533,a(flip)),flip(a)]. 14542 T(x,T(y,(z \ u) \ 1) * w) = T(x,T(y,u * z) * w). [hyper(199,a,14531,a(flip),b,14541,a(flip))]. 14543 T(x,T(y,z \ u) * w) = T(x,T(y,z * u) * w). [para(6132(a,1),14542(a,1,2,1))]. 14544 T(x,T(y,z * u) * (z \ u)) = T(x,(z \ u) * y). [hyper(11667,a,14543,a),flip(a)]. 14545 K(x,((y * T(z,u)) / u) / y) = K(x,y \ (u \ (z * y))). [hyper(199,a,14300,a(flip),b,14537,a(flip))]. 14546 K(x,y \ (T(z,u) \ (u * y))) = K(x,((y * u) / z) / y). [hyper(199,a,14302,a(flip),b,14540,a(flip))]. 14547 K(x,(T(y,z \ u) * w) \ v5) = K(x,(T(y,z * u) * w) \ v5). [hyper(199,a,14510,a(flip),b,14520,a(flip)),flip(a)]. 14548 K(x,(T(y,z * u) * (T(y,z \ u) \ w)) \ v5) = K(x,w \ v5). [para(14(a,1),14547(a,1,2,1)),flip(a)]. 14549 K(x,(T(y,z * u) * (z \ u)) \ w) != v5 | K(x,((z \ u) * y) \ w) = v5. [para(14547(a,1),13295(a,1))]. 14550 K(x,(K(y,z * u) * (K(y,z \ u) * w)) \ v5) = K(x,w \ v5). [para(5105(a,2),14548(a,1,2,1))]. 14551 K(x,(K(y,z * u) * T(w \ y,K(y,z \ u))) \ v5) = K(x,(w \ T(y,z \ u)) \ v5). [para(12494(a,1),14550(a,1,2,1,2))]. 14553 x \ T(T(x,y) * a(z,u,u \ 1),y) = a(z,u,u \ 1). [hyper(199,a,14343,a(flip),b,14534,a)]. 14555 T(T(x,y) * a(z,u,u \ 1),y) = x * a(z,u,u \ 1). [para(14553(a,1),14(a,1,2)),flip(a)]. 14556 T(x * a(y,z,z \ 1),u) = T(x,u) * a(y,z,z \ 1). [para(14555(a,1),47(a,1,1))]. 14557 x \ T(x * a(y,z,z \ 1),u) = a(y,z,z \ 1) * K(x,u). [hyper(68,a,14556,a,b,13923,a)]. 14558 K(x,y * a(z,u,u \ 1)) = K(y,x). [hyper(12411,a,14557,a)]. 14559 K(x,y * a(z,u,u \ 1)) = K(x,y). [hyper(199,a,4738,a,b,14558,a)]. 14560 K(x,y \ a(z,u,u \ 1)) = K(x,y \ 1). [hyper(12440,a,14559,a)]. 14561 K(x,(y \ L(z,u,u \ 1)) \ 1) = K(x,z \ y). [hyper(14384,a,14560,a),flip(a)]. 14562 K(x,y \ L(z,u,u \ 1)) = K(x,(z \ y) \ 1). [hyper(199,a,12670,a(flip),b,14560,a(flip)),flip(a)]. 14563 K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). [hyper(6055,a,14561,a)]. 14564 K(x,y \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(199,a,14307,a(flip),b,14563,a(flip))]. 14568 K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). [hyper(199,a,6005,a(flip),b,14562,a)]. 14569 K(x,y \ L(z,u,u \ 1)) != w | K(x,y \ z) = w. [para(14562(a,2),6055(a,1))]. 14571 K(x,(y * (z \ 1)) \ u) = K(x,(y / z) \ u). [hyper(199,a,14332,a(flip),b,14568,a(flip))]. 14572 K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). [para(2820(a,1),14568(a,1,2,2)),flip(a)]. 14573 K(x,(y * z) \ (z * (z * u))) = K(x,(y * (z \ 1)) \ u). [hyper(199,a,14325,a,b,14571,a),flip(a)]. 14575 K(x,(y * (z \ 1)) \ L(u,w,w \ 1)) != v5 | K(x,(y / z) \ u) = v5. [para(14571(a,2),14569(a,1))]. 14577 K(x,(y * (z \ 1)) \ u) != w | K(x,(y / z) \ u) = w. [para(281(a,1),14575(a,1,2,2))]. 14579 L(K(x,y \ L(z,u \ 1,u)),z,u) = K(x,(u \ y) \ ((u \ 1) * z)). [para(173(a,1),14481(a,1,1,2,2))]. 14580 K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,(y \ (z \ w)) * K(z,u)). [hyper(199,a,11704,a(flip),b,14501,a)]. 14581 K(x,y \ ((T(z \ 1,u) \ 1) \ w)) = K(x,y \ (T(z,u) \ w)). [hyper(199,a,14502,a(flip),b,14580,a)]. 14582 K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ (T(z,u) \ w)). [hyper(199,a,14572,a(flip),b,14581,a(flip)),flip(a)]. 14583 K(x,y \ (((z \ u) \ u) \ w)) = K(x,y \ (T(z \ 1,u) * w)). [hyper(199,a,11619,a,b,14582,a),flip(a)]. 14584 K(x,y \ ((((z \ u) \ u) \ 1) * w)) = K(x,y \ (T(z \ 1,u) * w)). [hyper(199,a,14564,a,b,14583,a(flip)),flip(a)]. 14585 K(x,y \ ((z \ K(z,z \ u)) * w)) = K(x,y \ (T(z \ 1,u) * w)). [hyper(199,a,6563,a(flip),b,14584,a(flip)),flip(a)]. 14586 L(K(x,(y * z) \ (u * z)),z * y,u) = K(x,z / ((z * y) / T(u,y))). [hyper(13998,a,14538,a)]. 14588 K(x,(K(y,z * u) * T(w \ y,K(y,z * u))) \ v5) = K(x,(w \ T(y,z \ u)) \ v5). [para(13231(a,1),14551(a,1,2,1,2))]. 14589 K(x,((y \ z) * K(z,u * w)) \ v5) = K(x,(y \ T(z,u \ w)) \ v5). [para(105(a,1),14588(a,1,2,1))]. 14590 K(x,(y \ T(z,u \ w)) \ v5) = K(x,(y \ T(z,u * w)) \ v5). [para(12491(a,1),14589(a,1,2,1)),flip(a)]. 14591 K(x,(y \ T(z,u \ (w \ u))) \ v5) = K(x,(y \ T(z,w * z)) \ v5). [hyper(199,a,14140,a,b,14590,a(flip)),flip(a)]. 14592 K(x,(y \ T(z,u \ (w \ u))) \ v5) = K(x,(y \ T(z,w)) \ v5). [hyper(199,a,11700,a(flip),b,14591,a)]. 14593 K(x,(y \ T(z,u * (w \ u))) \ v5) = K(x,(y \ T(z,w)) \ v5). [hyper(199,a,14590,a(flip),b,14592,a(flip)),flip(a)]. 14594 K(x,(y \ T(z * (u / z),z)) \ w) = K(x,(y \ (z * T(u / z,u))) \ w). [hyper(199,a,11821,a(flip),b,14593,a(flip))]. 14596 K(x,(y \ (z * T(u / z,u))) \ w) = K(x,(y \ ((u / z) * z)) \ w). [hyper(199,a,14484,a(flip),b,14594,a(flip))]. 14597 K(x,(y \ (z * T(u / z,u))) \ w) = K(x,(y \ u) \ w). [para(16(a,1),14596(a,2,2,1,2))]. 14598 L(L(K(x,T(y / z,u)),z,z \ T(u,w)),u,y) = K(x,(y \ T(u,w)) \ (z \ T(u,w))). [para(13066(a,1),14472(a,1,1,1))]. 14600 L(L(K(x,T(y / z,z * u)),z,T(u,w)),u,z) = K(x,T(u,w) \ (z \ (y * T(u,w)))). [para(13417(a,1),14474(a,1,1,1))]. 14602 L(L(K(x,T(y / z,z * u)),z,u),u,z) = K(x,T(u,w) \ (z \ (y * T(u,w)))). [para(13997(a,1),14600(a,1,1))]. 14603 L(K(x,(y * z) \ (u * z)),z,y) = K(x,T(z,w) \ (y \ (u * T(z,w)))). [para(12893(a,1),14602(a,1,1))]. 14605 K(x,T(y,z) \ (u \ (w * T(y,z)))) = K(x,y \ (u \ (w * y))). [hyper(199,a,14300,a(flip),b,14603,a(flip))]. 14606 L(K(x,(((y \ z) \ 1) * z) \ u),1 / (y \ z),z) = K(x,(((1 / (y \ z)) \ y) \ y) \ (z \ u)). [para(5503(a,1),14475(a,1,1))]. 14607 L(K(x,(y * ((y / z) \ 1)) \ u),1 / (z \ y),y) = K(x,(((1 / (z \ y)) \ z) \ z) \ (y \ u)). [para(11713(a,1),14606(a,1,1))]. 14608 L(K(x,(y * ((y / z) \ 1)) \ u),(z \ y) \ 1,y) = K(x,(((1 / (z \ y)) \ z) \ z) \ (y \ u)). [hyper(14470,a,14607,a)]. 14609 L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,(((1 / (z \ y)) \ z) \ z) \ (y \ u)). [hyper(14492,a,14608,a)]. 14610 L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,T(1 / (z \ y),z) \ (y \ u)). [hyper(199,a,11547,a(flip),b,14609,a)]. 14611 L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,T(z \ y,z) * (y \ u)). [hyper(199,a,13388,a(flip),b,14610,a)]. 14612 L(K(x,(y * ((y / z) \ 1)) \ u),z,y) = K(x,(y / z) * (y \ u)). [para(170(a,1),14611(a,2,2,1))]. 14613 L(K(x,(y / (y / z)) \ u),z,y) = K(x,(y / z) * (y \ u)). [para(14571(a,1),14612(a,1,1))]. 14614 L(K(x,((y \ z) \ z) \ u),y,z) = K(x,(z / y) * (z \ u)). [para(3909(a,1),14613(a,1,1,2,1))]. 14615 L(K(x,T(y,z) \ u),y,z) = K(x,(z / y) * (z \ u)). [para(11547(a,1),14614(a,1,1))]. 14616 K(x,(y * z) \ (z * u)) = K(x,(z / y) * (z \ u)). [hyper(199,a,10511,a(flip),b,14615,a(flip)),flip(a)]. 14617 K(x,(y / z) * (y \ (y * u))) = K(x,(z * (y \ 1)) \ u). [hyper(199,a,14573,a(flip),b,14616,a(flip))]. 14618 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [para(13(a,1),14617(a,1,2,2)),flip(a)]. 14619 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(14577,a,14618,a)]. 14620 L(K(x,y * (z \ u)),u,z) = K(x,(y / z) * u). [hyper(12599,a,14618,a)]. 14621 K(x / y,(y / x) * z) = K(y \ x,(x \ z) * y). [hyper(199,a,13605,a(flip),b,14618,a(flip))]. 14624 K(x,(y / z) * u) * K(x,K(u,z * y)) = K(x,u / (z / y)). [para(14619(a,1),13386(a,1,1))]. 14625 ((x / y) * z) * (z / ((x / y) * z)) = z * K(x \ y,(y \ z) * x). [para(14621(a,1),5644(a,2,2))]. 14626 K(x,y / (z / u)) = K(x,y * (u / z)). [hyper(13227,a,14624,a),flip(a)]. 14627 K(x,(T(T(y,z),u) \ w) * (T(y,u) / z)) = K(x,(y * w) / (y * z)). [hyper(199,a,14381,a(flip),b,14626,a(flip))]. 14628 ((x / y) * z) * (z / ((x / y) * z)) = (y / x) * (z / (y / x)). [hyper(199,a,13599,a(flip),b,14625,a)]. 14629 L(K(x,L(K(y,z),u,w) * (v5 \ v6)),L(K(y,z),u,w),T(v5,K(y,z))) = K(x,(L(K(y,z),u,w) * v5) \ v6). [para(13327(a,1),14385(a,1,1))]. 14630 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,L(K(y,z),u,w) * (v5 \ v6)). [hyper(14450,a,14629,a),flip(a)]. 14632 L(K(x,L(K(y,z),u,w) * (v5 \ (u * w))),u * w,L(K(y,z),u,w)) = K(x,v5 \ ((K(y,z) * u) * w)). [para(14630(a,1),12992(a,1,1))]. 14633 K(x,L(K(y,z),u,w) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). [hyper(13933,a,14632,a)]. 14634 T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(u,w,K(v5,v6)) \ (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(784(a,1),14055(a,1,2))]. 14635 T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(v6,w,K(v5,u)) * (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(12300(a,1),14634(a,1,2,2,2,1))]. 14636 T(x,K(y,z)) / (z * T((a(u,w,K(v5,v6)) * (z \ x)) * a(v6,w,K(v5,u)),y)) = K(y,(x \ (z * a(v6,w,K(v5,u)))) \ 1). [para(14402(a,2),14635(a,1,2,2))]. 14637 K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = T(y,K(x,z)) / (z * T(z \ y,x)). [para(13954(a,1),14636(a,1,2,2,1)),flip(a)]. 14638 K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = K(x,(y \ z) \ 1). [hyper(199,a,9256,a(flip),b,14637,a)]. 14640 K(x,(y \ (a(z,u,K(w,v5)) * v6)) \ 1) = K(x,(y \ v6) \ 1). [para(13906(a,2),14638(a,1,2,1,2))]. 14641 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,(v6 \ v5) \ 1). [hyper(6055,a,14640,a)]. 14642 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [hyper(199,a,6005,a(flip),b,14641,a)]. 14643 K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,u \ v6). [hyper(199,a,14272,a,b,14642,a(flip)),flip(a)]. 14645 K(x,(K(y,z) * u) \ (L(K(y,z),w,v5) * v6)) = K(x,u \ v6). [para(5008(a,1),14643(a,1,2,1))]. 14646 K(x,y \ ((L(K(z,u),w,v5) * v6) * K(u,z))) = K(x,y \ v6). [hyper(13994,a,14645,a)]. 14647 K(x,y \ (L(K(z,u),w,v5) * (v6 * K(u,z)))) = K(x,y \ v6). [para(13918(a,1),14646(a,1,2,2))]. 14648 K(x,y \ T(z * a(u,w,K(v5,v6)),K(u,v6))) = K(x,y \ z). [para(14398(a,2),14647(a,1,2,2))]. 14649 K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,y \ z). [hyper(13279,a,14648,a)]. 14650 K(x,(y * (a(z,u,K(w,v5)) / v6)) \ y) = L(K(x,v6),a(z,u,K(w,v5)),y). [hyper(6404,a,14649,a),flip(a)]. 14652 K(x,y \ L(z,u,K(w,v5))) = K(x,y \ z). [para(14172(a,1),14649(a,1,2,2))]. 14653 K(x,(y * a(z,u,w)) \ (v5 * (a(z,u,w) * y))) = K(x,T(v5,y)). [hyper(199,a,14181,a(flip),b,14652,a(flip))]. 14654 K(x,y \ T(z,L(u,w,v5))) = K(x,y \ T(z,u)). [para(14195(a,1),14652(a,1,2,2))]. 14655 K(x,y \ T(z,(u \ w) \ v5)) = K(x,y \ T(z,w \ (u * v5))). [para(409(a,1),14654(a,1,2,2,2)),flip(a)]. 14657 K(x,T(K(y,a(z,u,w)) * v5,a(z,u,w) * y)) = K(x,T(v5,y)). [para(11428(a,1),14653(a,1,2))]. 14658 K(x,y \ T(z,(u \ w) \ v5)) = K(x,y \ T(z,w * (u * v5))). [hyper(199,a,13562,a(flip),b,14655,a)]. 14659 K(x,T(a(y,z,K(u,w)) * v5,a(u,z,w) * y)) = K(x,T(v5,y)). [para(12276(a,2),14657(a,1,2,1,1))]. 14660 K(x,y \ T(z,(u \ w) * v5)) = K(x,y \ T(z,w * (u * v5))). [hyper(199,a,13562,a(flip),b,14658,a(flip)),flip(a)]. 14661 K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). [hyper(199,a,14129,a(flip),b,14659,a(flip)),flip(a)]. 14664 K(x,K(y,T(a(z,u,w) * v5,v6))) = K(x,y) * K(x,T(y,v5)). [para(14661(a,1),13076(a,2,2))]. 14665 K(x,K(y,T(a(z,u,w) * v5,v6))) = K(x,K(y,v5)). [hyper(199,a,7779,a(flip),b,14664,a)]. 14666 K(x,K(y,a(z,u,w) * v5)) = K(x,K(y,v5)). [hyper(13095,a,14665,a)]. 14667 K(x,K(y,z)) * (a(u,w,v5) * z) = T(a(u,w,v5) * z,K(x,y)). [para(14666(a,1),7727(a,1,1))]. 14669 K(x,((y \ z) * u) \ T(w,z * (y * u))) != v5 | K(x,w / ((y \ z) * u)) = v5. [para(14660(a,1),11567(a,1))]. 14670 T(a(x,y,z) * u,K(w,v5)) = a(x,y,z) * T(u,K(w,v5)). [hyper(13188,a,14667,a),flip(a)]. 14671 a(x,y,z) \ (u \ T(T(a(x,y,z) * u,K(w,v5)),K(w,v5))) = a(K(w,v5) * u,y,K(x,z)). [para(14670(a,2),13012(a,1,2,2,1))]. 14672 L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y / a(z,u,K(w,v5))). [hyper(6193,a,14650,a),flip(a)]. 14674 L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y). [hyper(199,a,14052,a(flip),b,14672,a)]. 14675 K(x,y / a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(14672(a,1),3860(a,1)),flip(b)]. 14677 K(x,y / (z * a(u,w,K(v5,v6)))) = K(x,y / z). [hyper(199,a,14249,a(flip),b,14674,a(flip)),flip(a)]. 14678 K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(10983(a,1),14675(a,1,2))]. 14680 K(x,L(K(y,z),u,w) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(14255(a,1),14678(a,1,2))]. 14682 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(14172(a,1),14677(a,1,2,2))]. 14683 K(x,(y \ (z * u)) / ((y \ z) * u)) = a(y,z,K(x,u)). [hyper(199,a,14379,a(flip),b,14682,a(flip))]. 14685 K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). [hyper(14680,a,14633,a),flip(a)]. 14686 L(K(x,K(y,z) * ((y * z) \ (u * w))),y * z,K(z,y) * u) = K(x,(u \ (z * y)) \ w). [para(14685(a,1),14378(a,1,1))]. 14687 a(K(x,y) * z,u,K(w,v5)) = a(w,u,v5) \ (z \ (a(w,u,v5) * z)). [para(47(a,1),14671(a,1,2,2)),flip(a)]. 14688 a(K(x,y) * z,u,K(w,v5)) = a(w,u,v5) \ T(a(w,u,v5),z). [para(32(a,2),14687(a,2,2))]. 14690 a(K(x,y) * z,u,K(w,v5)) = K(a(w,u,v5),z). [hyper(199,a,4599,a,b,14688,a)]. 14691 a(K(x,y) * z,u,K(w,v5)) = a(z,u,K(w,v5)). [hyper(199,a,12283,a,b,14690,a)]. 14692 a(x,y,K(z,u * K(w,v5))) = a(u,y,K(x,z)). [hyper(199,a,13972,a(flip),b,14691,a(flip)),flip(a)]. 14693 a(x,y,K(z,u \ K(w,v5))) = a(u,y,K(x,z)). [hyper(199,a,14004,a,b,14692,a(flip)),flip(a)]. 14695 L(K(x,y),z,K(u,w) / v5) = K(x,y) * a(v5,z,K(x,y)). [para(14693(a,1),13971(a,1,2)),flip(a)]. 14696 L(K(x,y),z,K(u,w) / v5) = L(K(x,y),z,v5). [hyper(199,a,8997,a(flip),b,14695,a)]. 14697 L(K(x,y),z,u \ K(w,v5)) = L(K(x,y),z,u). [hyper(14002,a,14696,a)]. 14698 L(K(x,y \ L(z,u \ 1,u)),z,u) = K(x,(y / u) \ ((u \ K(u,u \ y)) * z)). [hyper(199,a,14377,a(flip),b,14697,a(flip))]. 14699 L(K(x,y),z,K(u,w) * v5) = L(K(x,y),z,v5). [hyper(199,a,12647,a(flip),b,14697,a(flip))]. 14700 L(K(x,y),z,u \ T(w,v5)) = L(K(x,y),z,u \ w). [para(5313(a,1),14699(a,1,3)),flip(a)]. 14701 L(L(K(x,T(y / z,u)),z,z \ u),u,y) = K(x,(y \ T(u,w)) \ (z \ T(u,w))). [para(14700(a,1),14598(a,1,1))]. 14703 K(x,(y / z) \ ((z \ K(z,z \ y)) * u)) = K(x,(z \ y) \ ((z \ 1) * u)). [hyper(199,a,14579,a(flip),b,14698,a(flip))]. 14704 K(x,(y / z) \ (T(z \ 1,y) * u)) = K(x,(z \ y) \ ((z \ 1) * u)). [hyper(199,a,14585,a(flip),b,14703,a(flip)),flip(a)]. 14705 K(x,(y / z) \ (T(z \ 1,y) * u)) = K(x,(z \ y) \ (z \ u)). [hyper(199,a,14564,a(flip),b,14704,a)]. 14706 K(x,(y / z) \ (T(z \ 1,y) * u)) = K(x,(z * y) \ (z * u)). [hyper(199,a,14318,a(flip),b,14705,a)]. 14707 K(x,(y / z) \ (T(z,y) \ u)) = K(x,(z * y) \ (z * u)). [hyper(199,a,14582,a(flip),b,14706,a(flip)),flip(a)]. 14708 K(x,(y / z) * (T(y,z) \ u)) = K(x,(y * z) \ (y * u)). [hyper(199,a,14619,a(flip),b,14707,a(flip)),flip(a)]. 14709 K(x,(y * z) \ (y * u)) = K(x,(z \ y) * (y \ u)). [hyper(199,a,11774,a(flip),b,14708,a(flip))]. 14710 K(x,(y \ z) * (z \ (z * u))) = K(x,(z \ y) \ u). [hyper(199,a,14310,a(flip),b,14709,a(flip))]. 14711 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [para(13(a,1),14710(a,1,2,2)),flip(a)]. 14712 L(L(K(x,T(y,z)),z,u \ z),z,u) = K(x,(z \ u) * ((y \ u) \ z)). [hyper(199,a,14356,a,b,14711,a(flip)),flip(a)]. 14713 K(x,L(y \ 1,y,z) \ u) = K(x,(z \ (z * y)) * u). [hyper(199,a,13286,a,b,14711,a(flip)),flip(a)]. 14714 K(x,(y \ (z * u)) * (u \ (z \ y))) != w | a(x,u,K(z,u \ y)) = w. [para(14711(a,1),14371(a,1))]. 14715 K(x,L(y \ 1,y,z) \ u) = K(x,y * u). [para(13(a,1),14713(a,2,2,1))]. 14716 T(x,T(L(y \ 1,y,z) \ u,w)) = w * (K(x,y * u) * (w \ x)). [para(14715(a,1),12485(a,1,2,1)),flip(a)]. 14717 L(K(x,y * (z \ u)),u,z) = K(x,(z * L(y \ 1,y,w)) \ u). [para(14715(a,1),12572(a,1,1))]. 14718 K(x,(y * L(z \ 1,z,u)) \ w) = K(x,(z / y) * w). [hyper(199,a,14620,a(flip),b,14717,a(flip))]. 14719 K(x,(y * (z \ u)) \ w) = K(x,((u \ z) / y) * w). [para(306(a,1),14718(a,1,2,1,2))]. 14720 K(x,((y \ z) / T(u,z * y)) * w) = K(x,((z \ y) * u) \ w). [hyper(14549,a,14719,a),flip(a)]. 14721 K(x,((y \ z) * u) \ w) = K(x,(u \ (z \ y)) * w). [hyper(199,a,14099,a(flip),b,14720,a(flip))]. 14722 K(x,(y \ (z \ u)) * T(w,z * (u * y))) != v5 | K(x,w / ((u \ z) * y)) = v5. [para(14721(a,1),14669(a,1))]. 14723 T(x,T(L(y \ 1,y,z) \ u,w)) = T(x,T(y * u,w)). [hyper(199,a,12485,a(flip),b,14716,a)]. 14724 T(x,T(((y * z) \ y) \ u,w)) = T(x,T(z * u,w)). [hyper(9008,a,14723,a)]. 14725 T(x,T((y / z) \ u,w)) = T(x,T((z / y) * u,w)). [hyper(13569,a,14724,a)]. 14726 T(x,T((((y \ 1) \ 1) / z) * u,y * z)) = T(x,u / (z / y)). [hyper(13637,a,14725,a),flip(a)]. 14727 T(x,y / (z / u)) = T(x,y * (u / z)). [hyper(199,a,13616,a(flip),b,14726,a(flip))]. 14728 T(x,y * (z / T(u,L(z,w,v5)))) = T(x,y / (z \ u)). [hyper(199,a,14226,a(flip),b,14727,a(flip))]. 14729 T(x,y / (z \ u)) = T(x,y * (u \ z)). [hyper(199,a,14244,a(flip),b,14728,a(flip))]. 14730 L(K(x,y \ (z * (u \ y))),y,z) = K(x,(z \ T(y,w)) \ (u \ T(y,w))). [para(12894(a,1),14701(a,1,1))]. 14732 K(x,(y \ T(z,u)) \ (w \ T(z,u))) = K(x,(y \ z) \ (w \ z)). [hyper(199,a,14301,a(flip),b,14730,a(flip))]. 14733 L(K(x,(y * z) \ (u * w)),z * y,K(y,z) * u) = K(x,(u \ (y * z)) \ w). [para(9153(a,1),14686(a,1,1,2))]. 14734 L(K(x,(y * z) \ (u * w)),z * y,u) = K(x,(u \ (y * z)) \ w). [hyper(199,a,14699,a(flip),b,14733,a(flip)),flip(a)]. 14736 K(x,y / ((y * z) / T(u,z))) = K(x,(u \ (z * y)) \ y). [hyper(199,a,14586,a(flip),b,14734,a(flip)),flip(a)]. 14737 K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,(w \ (((z \ u) / T(y,u * z)) * w)) * w). [hyper(199,a,14711,a(flip),b,14101,a)]. 14738 L(L(K(x,T(y \ z,z * u)),z,z \ ((y * (z / y)) * u)),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). [para(12933(a,1),14327(a,1,1,1,2))]. 14739 L(L(K(x,T(y \ z,z * u)),z,K(y,y \ z) * u),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). [para(9232(a,1),14738(a,1,1,3))]. 14740 L(L(K(x,T(y \ z,z * u)),z,u),(y * (z / y)) * u,z) = K(x,(z \ ((y * (z / y)) * u)) \ (y \ (z * u))). [para(14699(a,1),14739(a,1,1))]. 14741 L(K(x,(y * z) / (y * u)),(u * (z / u)) * y,z) = K(x,(z \ ((u * (z / u)) * y)) \ (u \ (z * y))). [para(13364(a,1),14740(a,1,1))]. 14743 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(z \ ((u * (z / u)) * y)) \ (u \ (z * y))). [hyper(199,a,12576,a,b,14741,a(flip)),flip(a)]. 14744 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(K(u,u \ z) * y) \ (u \ (z * y))). [para(9232(a,1),14743(a,2,2,1))]. 14745 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(y \ (u \ (z * y))) * K(u,u \ z)). [hyper(199,a,14509,a(flip),b,14744,a)]. 14746 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,(y \ (u \ (z * y))) * K(u,z)). [hyper(199,a,11554,a(flip),b,14745,a)]. 14747 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,y \ (T(u,z) \ (z * y))). [hyper(199,a,14502,a(flip),b,14746,a)]. 14748 L(K(x,(y * z) / (y * u)),K(u,u \ z) * y,z) = K(x,((y * z) / u) / y). [hyper(199,a,14546,a(flip),b,14747,a)]. 14749 L(K(x,(y * z) / (y * u)),y,z) = K(x,((y * z) / u) / y). [hyper(14032,a,14748,a)]. 14750 K(x,((y * z) / u) / y) = K(x,y / ((y * u) / z)). [hyper(199,a,14303,a(flip),b,14749,a(flip))]. 14751 K(x,y / ((y * z) / T(u,z))) = K(x,y \ (z \ (u * y))). [hyper(199,a,14545,a(flip),b,14750,a(flip))]. 14752 K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). [hyper(199,a,14736,a(flip),b,14751,a(flip)),flip(a)]. 14753 K(x,T(y / z,y) \ (u \ (w * T(y / z,y)))) = K(x,(w \ (u * T(y / z,y))) \ (z \ y)). [hyper(199,a,11544,a(flip),b,14752,a(flip))]. 14754 K(x,(y \ T(z * (u / z),u \ w)) \ (((u \ w) \ w) / z)) = K(x,(((u \ w) \ w) / z) \ (z \ (y * (((u \ w) \ w) / z)))). [para(4390(a,2),14752(a,1,2,1,2))]. 14755 K(x,T(y / z,y) \ (z \ (u * T(y / z,y)))) = K(x,(u \ y) \ (z \ y)). [hyper(199,a,14597,a(flip),b,14753,a)]. 14756 K(x,(y / z) \ (z \ (u * (y / z)))) = K(x,(u \ y) \ (z \ y)). [hyper(199,a,14605,a(flip),b,14755,a(flip)),flip(a)]. 14758 K(x,(y \ T(z * (u / z),u \ w)) \ (T(u,w) / z)) = K(x,(((u \ w) \ w) / z) \ (z \ (y * (((u \ w) \ w) / z)))). [hyper(199,a,12718,a(flip),b,14754,a(flip)),flip(a)]. 14759 K(x,(y \ T(z * (u / z),u * w)) \ (T(u,w) / z)) = K(x,(((u \ w) \ w) / z) \ (z \ (y * (((u \ w) \ w) / z)))). [hyper(199,a,14590,a(flip),b,14758,a(flip)),flip(a)]. 14760 K(x,(y \ T(T(z,z * u),w)) \ (T(z,u) / w)) = K(x,(((z \ u) \ u) / w) \ (w \ (y * (((z \ u) \ u) / w)))). [hyper(199,a,14485,a(flip),b,14759,a(flip)),flip(a)]. 14761 K(x,(((y \ z) \ z) / u) \ (u \ (w * (((y \ z) \ z) / u)))) = K(x,(w \ T(T(y,u),z)) \ (T(y,z) / u)). [hyper(199,a,11771,a(flip),b,14760,a(flip))]. 14762 K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ ((z \ w) \ w)) \ (u \ ((z \ w) \ w))). [hyper(199,a,14756,a(flip),b,14761,a(flip))]. 14763 K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ ((z \ w) \ w)) \ (u \ T(z,w))). [hyper(199,a,12714,a(flip),b,14762,a)]. 14764 K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ T(z,w)) \ (u \ T(z,w))). [hyper(199,a,11614,a(flip),b,14763,a)]. 14765 K(x,(y \ T(T(z,u),w)) \ (T(z,w) / u)) = K(x,(y \ z) \ (u \ z)). [hyper(199,a,14732,a(flip),b,14764,a)]. 14767 K(x,(T(T(y,z),u) \ w) * (T(y,u) / z)) = K(x,(w \ y) \ (z \ y)). [hyper(199,a,14711,a(flip),b,14765,a(flip)),flip(a)]. 14768 K(x,(T(T(y,z),u) \ w) * (T(y,u) / z)) = K(x,(y \ w) * (z \ y)). [hyper(199,a,14711,a(flip),b,14767,a)]. 14769 K(x,(y * z) / (y * u)) = K(x,(y \ z) * (u \ y)). [hyper(199,a,14627,a(flip),b,14768,a(flip)),flip(a)]. 14770 K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,T((z \ u) / T(y,u * z),w) * w). [para(32(a,2),14737(a,2,2,1))]. 14771 K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,w * ((z \ u) / T(y,u * z))). [hyper(199,a,11677,a(flip),b,14770,a)]. 14772 K(x,(y \ (z \ u)) * ((((z \ u) / T(y,u * z)) * w) * (w / (((z \ u) / T(y,u * z)) * w)))) = K(x,w * (y \ (z \ u))). [hyper(199,a,14143,a(flip),b,14771,a)]. 14773 K(x,(y \ (z \ u)) * ((T(y,u * z) / (z \ u)) * (w / (T(y,u * z) / (z \ u))))) = K(x,w * (y \ (z \ u))). [para(14628(a,1),14772(a,1,2,2))]. 14774 K(x,(y \ (z \ u)) * T(w,T(y,u * z) / (z \ u))) = K(x,w * (y \ (z \ u))). [hyper(13384,a,14773,a)]. 14775 K(x,(y \ (z \ u)) * T(w,T(y,u * z) * (u \ z))) = K(x,w * (y \ (z \ u))). [para(14729(a,1),14774(a,1,2,2))]. 14776 K(x,(y \ (z \ u)) * T(w,(u \ z) * y)) = K(x,w * (y \ (z \ u))). [para(14544(a,1),14775(a,1,2,2))]. 14777 K(x,(y \ (z \ u)) * T(w,z * (u * y))) = K(x,w * (y \ (z \ u))). [hyper(199,a,14223,a(flip),b,14776,a(flip)),flip(a)]. 14778 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [hyper(14722,a,14777,a)]. 14779 K(x,(y \ (z * u)) * (u \ (z \ y))) = a(y,z,K(x,u)). [hyper(199,a,14683,a(flip),b,14778,a(flip))]. 14780 K(x,y * (z \ ((u * w) \ u))) = K(x,y / (w * z)). [para(13(a,1),14778(a,1,2,2,1)),flip(a)]. 14781 K(x,y / (z * T(u,z))) = K(x,y * (((w * z) \ w) / u)). [hyper(14142,a,14780,a),flip(a)]. 14782 a(x,y,K(z,y \ u)) = a(u,z,K(x,y)). [hyper(14714,a,14779,a)]. 14783 a(x,y,K(z,y \ u)) = a(x,z,K(y,u)). [hyper(199,a,12278,a,b,14782,a)]. 14784 a(x,y,K(z,u \ y)) = a(y,z,K(x,u)). [hyper(199,a,10493,a,b,14782,a(flip)),flip(a)]. 14785 x * L(x \ y,y,K(z,u)) = y * a(z,u,K(x,y)). [para(14783(a,1),14220(a,2,2))]. 14786 L(K(x,y),z,u \ z) = K(x,y) * a(z,x,K(y,u)). [para(14784(a,1),12297(a,1,2)),flip(a)]. 14787 x * L(x \ y,y,K(z,u)) = L(y,u,K(x,z)). [hyper(199,a,14185,a(flip),b,14785,a)]. 14789 x * L(x \ y,y,K(z,u)) = L(y,z,K(x,u)). [para(4738(a,1),14787(a,1,2,3))]. 14790 L(x,y,K(z,u)) = L(x,u,K(z,y)). [hyper(199,a,14787,a(flip),b,14789,a(flip))]. 14791 x * a(y,z,K(x,u)) = L(x,u,K(y,z)). [hyper(14183,a,14790,a)]. 14792 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(17,a,14173,a,b,14791,a),flip(a)]. 14793 K(x,y) * a(z,x,K(y,u)) = L(K(x,y),z,u). [para(14792(a,2),8988(a,1,2))]. 14794 L(K(x,y),z,u \ z) = L(K(x,y),z,u). [hyper(199,a,14793,a(flip),b,14786,a)]. 14795 K(x,y * (((z * u) \ z) / w)) = K(x,y / (w * u)). [para(105(a,1),14781(a,1,2,2)),flip(a)]. 14796 K(x,y / (z * (u \ w))) = K(x,y * ((w \ u) / z)). [para(14(a,1),14795(a,1,2,2,1,1)),flip(a)]. 14797 K(x,(y \ z) * ((u \ w) \ y)) = K(x,(y * z) * ((w \ u) / y)). [hyper(199,a,14769,a(flip),b,14796,a(flip)),flip(a)]. 14798 K(x,(y * z) * ((z \ u) / y)) * (y * z) = y * (K(x,u) * z). [para(14796(a,1),9123(a,1,1))]. 14799 L(L(K(x,T(y,z)),z,u \ z),z,u) = K(x,(z * u) * ((u \ y) / z)). [hyper(199,a,14712,a,b,14797,a(flip)),flip(a)]. 14800 L(L(K(x,T(y,z)),z,u),z,u) = K(x,(z * u) * ((u \ y) / z)). [para(14794(a,1),14799(a,1,1))]. 14801 K(x,(y * z) * ((z \ u) / y)) = K(x,T(u,y)). [hyper(199,a,14296,a(flip),b,14800,a(flip))]. 14803 K(x,T(y,z)) * (z * u) = z * (K(x,y) * u). [para(14801(a,1),14798(a,1,1))]. 14804 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(y,x,K(z,u)). [para(14803(a,1),14214(a,1,2))]. 14806 a(x,K(y,z),u) = a(y,u,K(z,x)). [hyper(199,a,14288,a(flip),b,14804,a(flip)),flip(a)]. 14807 $F # answer("aK2_eq_aK3"). [resolve(14806,a,49,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=13298. Generated=270693536. Kept=14787. proofs=1. Usable=13297. Sos=1487. Demods=0. Limbo=0, Disabled=32. Hints=19013. Kept_by_rule=0, Deleted_by_rule=270107279. Forward_subsumed=571470. Back_subsumed=2. 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=326057. Nonunit_bsub_feature_tests=406. Megabytes=60.30. User_CPU=1404.23, System_CPU=56.15, Wall_clock=1474. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 1 proof. ------ process 30867 exit (max_proofs) ------  Process 30867 exit (max_proofs) Fri Aug 21 23:12:42 2020